The Table Shows The Number Of Cups Of Granola That A Bakery Uses For Every 10 Batches Of Energy Bars. (2024)

Mathematics High School

Answers

Answer 1

Mike is correct as to make 30 batches of Raisin Nut energy bars, the bakery will use 84 cups of granola and to make 15 batches of Honey Almond energy bars, the bakery will use 63 cups of granola.

Calculation of the number of cups

For raising, we have = 28(3) = 84 cups

For honey almond, we have = 4.2(1.5) = 63 cups

To make 30 batches of Raisin Nut energy bars, the bakery will use 84 cups of granola and to make 15 batches of Honey Almond energy bars, the bakery will use 63 cups of granola which is why Mike is considered to be correct.

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The full question is:

The table shows the number of cups of granola that a bakery uses for every 10 batches of energy bars.

Type of Energy Bar Amount of Granola (cups)

Raisin Nut 28

Honey Almond 42

Cranberry Walnut 36

Mike says that the bakery uses more granola to make 30 batches of Raisin Nut energy bars than to make 15 batches of Honey Almond energy bars.

Is Mike correct? Use the drop-down menus to explain.

Mike is Correct/Incorrect . To make 30 batches of Raisin Nut energy bars, the bakery will use 84/28/42/56 cups of granola. To make 15 batches of Honey Almond energy bars, the bakery will use 126/84/63/42 cups of granola.

Related Questions

Which diagram represents the net of a square pyramid? Choose all that apply.

Answers

Option (1) and (3) indicate a net of a pyramid with a square base.

What is meant by square pyramid?

Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangle faces that meet above the base and a base, a pyramid is a type of polyhedron (the apex). It is called a pentahedron because a square pyramid is a three-dimensional object with a total of five faces.

We must determine which of the provided diagrams best depicts the net of a square-based pyramid.

Think about the overall net that depicts the pyramid with a square base (as shown in figure 1)

Triangle 3 and triangle 2 are flipped to the left to create the diagram (3).

Diagram (1) is produced by flipping triangles 1 and 3 to their opposite sides.

As a result, Option (1) and (3) indicate a net of a pyramid with a square base.

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State the postulate or theorem that can be used to prove the triangles congruent.If you cannot prove the triangles congruent, write not enough information.

Answers

To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.

What are the postulates?

The postulates are:

SAS (Side-Angle-Side): This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.

ASA (Angle-Side-Angle): This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.

SSS (Side-Side-Side): This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.

AAS (Angle-Angle-Side): If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.

HL (Hypothenuse-Leg): this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.

From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.

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A scoop from a bin of assorted jelly beans contained a mix of flavors. root beer 5 licorice 22 cinnamon 6 What is the experimental probability that the next jelly bean scooped from the bin will be a cinnamon jelly bean? Write your answer as a fraction or whole number.

Answers

The experimental probability of getting a cinnamon jelly bean is P = 2/11

How to get the experimental probability?

Suppose that we have an experiment with some given number of outputs, and we perform that experiment N times.

The experimental probability of a given outcome is equal to the quotient between the number of times that we got that outcome and the total number of times we performed the experiment.

Here we have the data:

root beer = 5

licorice = 22

cinnamon = 6

For a total of 5 + 22 + 6 = 33 tries.

Then the probability of getting a cinnamon jelly bean is:

P = 6/33 = 2/11

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Simplify this expression 13+ (-12) - (-5) = ?

Answers

Answer: 6

Step-by-step explanation:

When solving this problem, it is important to remember the rules for when we add a negative and subtract a negative. When we add a negative (+ -), we are essentially going to keep the sign attached to the number. In this case, we would still subtract. When subtracting a negative (- -), the signs cancel out, so will add the number instead. With that in mind, we can rewrite the equation and solve it as follows:

13 - 12 + 5

1 + 5

6

Hope this helps!

URGENT!! WILL NAME BRAINLIEST
From a point on the ground, a person notices that a 103-foot antenna on the top of a hill subtends an angle of 1∘. If the angle of elevation to the bottom of the antenna is 27∘, find the height of the hill.

Answers

The height of this hill is given as : 51.88 feet.

How to solve for the height of the hill

We can use trigonometry to find the height of the hill. Let's call the height of the hill "h".

From the information given, we know that:

tan(27°) = h / (103/2)

h = (103/2) * tan(27°)

Using a calculator, we would have to go ahead to get the value of the variable h or height.

So that h ≈ 51.88 feet.

So, the height of the hill is approximately 51.88 feet.

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Wally want to determine the height of a tatue that cat a 164-inch hadow by comparing it to hi own height and hadow length. If Wally, who i 69 inche tall, cat a hadow that i 41 inche in length, what i the height of the tatue?
A. 276 inche
B. 300 inche
C. 97 inche
D. 252 inche

Answers

The height of the statue is:

A. 276 inches

If Wally, who is 69 inches tall, catch a shadow that is 41 inch in length.

Height of Statue Calculation

To determine the height of the statue, you can use the principle of similar triangles. Similar triangles have the same angles, but not necessarily the same side lengths. You can use the ratio of the height of Wally and the length of his shadow to the height of the statue and the length of its shadow to find the height of the statue.

Height of Wally: 69 inches

Length of Wally's shadow: 41 inches

Height of statue: x

Length of statue's shadow: 164 inches

You can set up the proportion as:

69/41 = x/164

Solving for x, you get:

x = (69 × 164)/41

x = 276 inches

Thus the answer is A. 276 inches.

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Write an expression that passes through (6,-3) and is parallel to the line y=-2/3 x+. 5

Answers

The equation of the line that passes through (6,-3) and is parallel to the line y = -2/3 x + 5 is y = - 2 / 3 x + 1.

How to write equation of a line?

The equation of a line can be represented in slope-intercept form as follows:

y = mx + b

where

m = slope of the lineb = y-intercept

Therefore, the equation of the line passes through (6,-3) and is parallel to y = -2/3 x + 5.

Parallel lines have the same slopes.

Therefore, the slope of the line is - 2 / 3.

Hence, let's find the y-intercept of the line using (6, -3).

Therefore,

y = - 2 / 3 x + b

-3 = - 2 / 3 (6) + b

-3 = -12 / 3 + b

b = -3 + 4

b = 1

Therefore, the equation of the line is y = - 2 / 3 x + 1.

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Smart One smartphone plan cost $20 per month for talk and messaging and $10 per gigabyte of data used each month. A second smartphone plan cost $60 per month for talk and messaging and $5 per gigabyte of data used each month. Let C represent the total cost in dollars and D represent the amount of data used in gigabytes. The system of equation can be used to represent this situation. How many gigabytes would have to be used for the plans to cost the same. What would the cost be?
C=20+10d
C=60+5d

Answers

8 gigabytes would have to be used for the plans to cost the same. The cost will be $100.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Smart One smartphone plan cost $20 per month for talk and messaging and $10 per gigabyte of data used each month. A second smartphone plan cost $60 per month for talk and messaging and $5 per gigabyte of data used each month.

Let {C} represent the total cost in dollars and {D} represent the amount of data used in gigabytes. The system of equation can be used to represent this situation are -

C = 20 + 10d

C = 60 + 5d

For same cost -

20 + 10d = 60 + 5d

5d = 40

d = 8

The cost would be -

C = 20 + 10d

C = 20 + 10 x 8

C = 100

Therefore, 8 gigabytes would have to be used for the plans to cost the same. The cost will be $100.

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When the degree of a polynomial is 2 it is called *?.

Answers

A polynomial of degree 2 is called a quadratic equation. It is a type of equation that can be solved by using the quadratic formula, which looks like this:

where x is the unknown variable and y is the solution to the equation. The quadratic equation can be written in several different ways, but all of them involve solving for y using equations similar to the one above.

Polynomials of degree 2 are common in everyday life, and are used to solve problems such as solving for the slope or height of a line, determining the points at which two lines intersect, or finding the distance between two points.

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Which jam recipe has more strawberry flavor?
Recipe A
3 cups strawberries
1/2 cup sugar
Recipe B
5 cups strawberries
1 cup sugar

Answers

Answer:

recipe A

Step-by-step explanation:

I think it's recipe A cause it contain 3 cups of strawberries and there is lots of sugar so. A lot of sugar makes the recipe flavourful

in my opinion it might be that

Answer :
For this problem your answer is • A !

m+1/m-1 -m-1/m+1 + 4m/m^2 +1

Answers

The expression can be simplified to:

(m^2 + 1 - m^2 - 2m + m^2 + 2m + 1) / (m^2 + 1) + 4m / (m^2 + 1)

= (4m) / (m^2 + 1)

So the final simplified form of the expression is (4m) / (m^2 + 1)

a+v=b-(v+5)
how would I make this solution true​

Answers

To make a true equation, check your math to make sure that the values on each side of the equals sign are the same.

How would make this solution true?

step1

(a) a +v = b-(v+5)

1+5=6 not equal a+ v=5

To check if a given value is a solution to an equation:

Evaluate the left-hand side expression at the given value to get a number

Evaluate the right-hand side expression at the given value to get a number.

See if the numbers match.

If you add the same number to both sides of an inequality, the inequality remains true.

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Correct question:

What criteria must meet to say that a+v=b-(v+5) is true?

what is the slope of (-4,-4) and (0,3)

Answers

Answer: M=[tex]-\frac{3}{4}[/tex]

Step-by-step explanation: if you need an explanation just let me know

Answer:

Step-by-step explanation:

25

cause i know this you better trust me

Does sides 5 12 13 make a right triangle?.

Answers

The sum of two sides is always greater than the third side. So the side lengths 5, 12 and 13 can form a right triangle.

In the given question, we have to define the side lengths 5, 12 and 13 form a right triangle.

If the sum of two sides is greater than the sum of the third side, the side can form a right triangle.

We add the provided sides to see if a right triangle can be formed from them.

5 + 12 > 13

17 > 13 (True)

5 + 13 > 12

18 > 12 (True)

12 + 13 > 5

25 > 5 (True)

Hence, we can see that the sum of two sides is always greater than the third side. So the side lengths 5, 12 and 13 can form a right triangle.

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How many images are formed when two plane mirrors are placed at 36?.

Answers

The images are formed when two plane mirrors are placed at 36 is 9

The term plane in math defined as a two-dimensional doubly ruled surface spanned by two linearly independent vectors.

Here we need to find the number of images are formed when two plane mirrors are placed at 36.

Here we have given that the generalization of the plane to higher dimensions is called a hyperplane.

And here we also know that the angle between two intersecting planes is known as the dihedral angle.

The by using the formula we have calculated as,

=> n = (360 / 36) - 1

=> n = 10 - 1

=> n = 9

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Combine any like term in the expreion. If there are no like term, rewrite the expreion. 5g5g–10g

Answers

The expression can be simplified by combining any like terms, which in this case are 5g and 5g. When added together, they become 10g.

The expression 5g5g–10g can be simplified by performing the following steps:

1. Multiply 5g and 5g, to get 25g2.

Subtract 10g from 25g, to get 15g.

3. Simplify to 10g.

Simplifying the expression 5g5g–10g involves combining like terms. Like terms are terms that have the same variable, in this case the letter g. To simplify, first we need to multiply the two 5g terms together, giving us 25g. Then, we subtract 10g from 25g, to get 15g. Finally, we can simplify further by combining any remaining like terms, which in this case there are none. Therefore, when all is said and done, the expression can be simplified to 10g. This is because 10g is the only like term in the expression.

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How to find acceleration with velocity and distance?

Answers

Velocity and acceleration both describe motion, but there is an important difference between the two

What Is Velocity?

The rate of change of your position with time defines your velocity. In everyday language, velocity means the same thing as speed. However, in physics, there is an important distinction between the two terms. Speed is a “scalar” quantity, and it’s measured in units of distance/time, so in meters per second or miles per hour. Velocity is a “vector” quantity, so it has both a magnitude (the speed) and a direction. Technically, saying you’re traveling at 5 meters per second is a speed and saying you’re traveling at 5 meters per second towards the north is a velocity, because the latter has a direction too.

What Is Acceleration?

Acceleration is the rate of change of velocity with time. Like velocity, this is a vector quantity that has a direction as well as a magnitude. An increase in velocity is commonly called acceleration while a decrease in velocity is sometimes termed deceleration. Technically, since velocity includes a direction as well as a speed, a change in direction at a constant speed is still considered acceleration.
Hope this helps

4/9of the spectators in a football match are males. If 200 of them are females, how many spectators are there in the competition?

Answers

4/9 of the spectators in a football match are males. If 200 of them are females, then the total number of spectators is 360.

What is the proportion?

A proportion is two ratios that have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 5/10 equals 1/2.

Given that 4/9 of the fans in a football match are men and 200 are women. We must determine the total number of spectators at the football game.

If 4/9 of the total spectators are men, the remaining 5/9 are women.

Let x be the total number of spectators.

Mathematically,

5/9 of x = 200

5/9 × x = 200

5x = 1800

X = 360

As a result, the total number of spectators is 360.

The number of male spectators may also be calculated.

Males + Females = Total number of spectators

360 = Males + 200

Males = 160

Therefore, 4/9 of the spectators in a football match are males. If 200 of them are females, then the total number of spectators is 360.

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Please help! I will give 40 points.

Answers

Answer:

d) x[tex]\geq 4[/tex]

Step-by-step explanation:

Answer:

option d is correct ok hope it helps

The arrows represent the forces acting on the object. Use the highlighter and draw an arrow to represent the direction that the object would be accelerating. Put an "X" if it is not accelerating.

Answers

Answer:

see attached

Step-by-step explanation:

You want the given diagram annotated with an arrow to show the direction of acceleration.

Acceleration

Acceleration is a result of a net force on an object. It is in the direction of that net force.

Application

Here, the forces to the left and right are equal and opposite, so have a sum of zero.

The forces up and down are opposite, but unequal. The downward force is larger, so the direction of the net force is downward. (+5 +(-10) = -5)

The object will be accelerated downward in the direction of the 10 N force.

f(x)=2x^2+7x. find f(-2)

Answers

Ans: -6

2 (-2)^2 + 7(-2)
2 (4) - 14
8 - 14 = -6

Answer:

f(-2) = -6

Step-by-step explanation:

f(x)=2x^2+7x f(-2)

We put -2 in for x and solve

f(-2) = 2(-2)^2 + 7(-2)

f(-2) = 2(4) - 14

f(-2) = 8 - 14

f(-2) = -6

What is 1 4 equivalent to in fractions?.

Answers

Equivalent 1/4 is equals to 4/16 in fractions.

Equivalent fractions in mathematics are ones that have the same denominator but different numerators. For instance, 2/4 and 3/6 are equivalent fractions since they both equal 1. A fraction is a piece of the total. Equivalent fractions are used to indicate identical parts of the whole.

The equivalent fraction of each fraction can be calculated by multiplying the numerator and denominator by the same integer. Equivalent fractions are ones that denote the same value despite visual disparities. You will have devoured half of a cake, for example, if you take a piece, cut it into two equal pieces, and then eat one of them.

= 1/4 is equivalent to:

= 1/4 * 4/4

= 4/16

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Correct Question:

What is 1/4 equivalent to in fractions?.

Calculate the average speed of a train that travels 500km in 4 hours

Answers

Answer:

125 km per hour

Step-by-step explanation:

divide 500 by 4 to find the averge

Answer:

[tex] \sf \: 125km/hr[/tex]

Step-by-step explanation:

Average speed = [tex] \sf \: \frac{distance \: travelled}{time \: taken} [/tex]

Ave. speed = [tex] \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} [/tex]

Hence, the average spred is 125km/h respectively.

For what values of k is the quadratic equation 9x2?.

Answers

The possible values of k for the quadratic equation 9x² - 5kx + 1 = 0 has equal roots are 6/5 and -6/5.

The standard form of an quadratic equation is, ax² + bx + c = 0, a ≠ 0 and a,b,c --> constants. The quadratic formula for solution of above equation is, x = ( - b ±√b² - 4ac)/2a , where Discriminate, D is equals to b² - 4ac . We have an quadratic equation, 9x² - 5kx + 1 = 0 --(*)

Step 1 : Determining the discriminant of the quadratic equation : After comparing the equation (*) with standard one , a = 9 , b = - 5k and c = k . So, discriminate formula , D = b² - 4ac

=> D = (- 5k)² - 4×9×1

=> D = 25 k² - 36

Step 2: Determining the values of k : We have equation (*) has equal roots then according to the nature of the roots of an quadratic equation When the value of discriminant, D = 0, then the quadratic equation has real and equal roots.

So, 25 k²- 36 = 0

=> 25 k² = 36

=> k² = 36/25

=> k = ±√36/25

=> k = ± 6/5

Hence, the values of k are ± 6/5.

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Complete question:

For what values of k is the quadratic equation 9x² - 5kx + k = 0, has equal roots?

What is the solution of the system of equations y 4x 4 y 3x 3?.

Answers

After solving, the solution of the pair of equation is (-1, 0).

In the given question, we have to find the solution of the system of equations y = 4x + 4 and y = -3x - 3.

The given equations are:

y = 4x + 4.....................(1)

y = -3x - 3.....................(2)

Now putting the value of y from equation 1 to the equation 2

4x + 4 = -3x - 3

Subtract 4 on both side, we get

4x = -3x - 7

Add 3x on both side, we get

7x = -7

Divide by 7 on both side, we get

x = -1

Now putting the value of x in equation 1

y = 4(-1) + 4

y = -4 + 4

y = 0

Hence, the solution of the pair of equation is (-1, 0).

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The complete question is:

What is the solution of the system of equations y = 4x + 4 and y = -3x - 3?

An 8-foot-long board is leaning against a building. The angle formed by the ground and the board is 70 ∘ . How far up the side of the building does the board reach?

Answers

The height of the board up the side of the building is 7.5 feet.

How to find the side of a right triangle?

An 8-foot-long board is leaning against a building. The angle formed by the ground and the board is 70 degrees.

The height of the board to the side of the building can be calculated as follows:

Therefore, the situation forms a right-angle triangle.

Using trigonometric ratios,

sin 70° = opposite / hypotenuse

sin 70° = x / 8

cross multiply

x = 8 sin 70°

x = 8 × 0.93969262078

x = 7.51754096629

Therefore,

distance of the board up the building = 7.5 feet

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Without using a calculator, determine between which two integers the following surds lie (b) √29 (C)-√54​

Answers

(b) √29 is between 5 and 6. You can approximate it by finding the perfect squares that are closest to 29: 25 (5^2) and 36 (6^2). √29 is between 5 and 6 since 5^2 < 29 < 6^2

(c) √54 is between 7 and 8. You can approximate it by finding the perfect squares that are closest to 54: 49 (7^2) and 64 (8^2). √54 is between 7 and 8 since 7^2 < 54 < 8^2.

a 12-foot ladder is leaned against the side of a building such that the angle of depression to the far side of the sidewalk is 45 degrees, but 65 degrees to the near side of the sidewalk. how wide is the sidewalk?

Answers

Answer:

From the top of a 12 foot ladder, the angle of depression to the far side of a sidewalk is , while the angle of depression to the near side of the sidewalk

Step-by-step explanation:

When a number is put into a machine, a different number comes out. If 5 goes in, 2 comes out. If 7 goes in, 4 comes out. If 8 goes in, 5 comes out. If 10 goes in, what number should come out? A 3 B 7 C 9 D 10​

Answers

Order of addends has no bearing on the amount according to the commutative property of addition. 6 added value.

How to find the calculation?

The machine below produces a different number when a number is entered. 9 is produced if 3 is inserted. If 6 is put in, 12 will come out. If 7 is put in, 13 will come out. ​

Order of addends has no bearing on the amount according to the commutative property of addition.

Changing the addends' order does not alter the amount, according to the commutative property of addition.

Every output number, as we can see, adds a value of 6 to the corresponding input number.

3 + 6 = 9.

6 + 6 = 12.

7 + 6 = 13.

The Complete Question.

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How do you write a quotient as a complex number?.

Answers

To see the Polar form and Rectangular form of quotient as a complex number.

Polar numbers can be written in two different forms: rectangular and polar. Rectangular complex numbers are given by a + bi, where a represents the real part of the complex number and b represents the imaginary part of the complex number. Polar complex numbers are given by its absolute value,

r = [tex]\sqrt{x^{2} +y^2}[/tex] and the argument, θ, which can then be determined through the following relations:

x = rcosθy = rsinθ

[tex]z=re^i^\theta[/tex]

If the complex numbers are in polar form, then the quotient is given by:

[tex]\frac{z_1}{z_2}=\frac{r_1e^i^\theta_1}{r_2e^i^\theta_2}[/tex] [tex]= \frac{r_1}{r_2}e^i^(^\theta_1^-^\theta_2^)[/tex]

If the complex numbers are in rectangular form, then you will have to use the complex conjugate to remove the complex number in the denominator:

[tex]\frac{a_1+b_1i}{a_2+b_2i}[/tex] [tex]=\frac{(a_1+b_1i)(a_2-b_2i)}{(a_2+b_2i)(a_2-b_2i)}[/tex].

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The Table Shows The Number Of Cups Of Granola That A Bakery Uses For Every 10 Batches Of Energy Bars. (2024)
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