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Scilla [17]
4 years ago
14

Paul is making loaves of raisin bread to sell at a fundraising event. The recipe calls for 1/3 cups of raisins for each loaf, an

d Paul has 3 1/4 cups of raisins. I need help with b.

Mathematics
2 answers:
galben [10]4 years ago
4 0
A) 3 1/4 ÷ 1/3 =9 3/4
he can make 9 loaves of bread.

b) 9-9 3/4 = 3/4 cup of raisins left
grin007 [14]4 years ago
4 0

Answer:

a. 9\frac{3}{4}, from which he can make 9 loaves.

b. \frac{3}{4} is the remaining part.

Step-by-step explanation:

Givens

  • The recipe calls for 1/3 cups of raisins for each loaf.
  • Pauls has 3 1/4 cups of raisins.

To find then number loaves that Paul can make, we just need to divide the number of cups of raising he has, and the cups of raisins need it according to the recipe.

3\frac{1}{4} \div \frac{1}{3}

But, we first need to transform the mixed numero into a fraction, then we solve

3\frac{1}{4} \div \frac{1}{3}=\frac{13}{4} \div \frac{1}{3}=\frac{13}{4} \times \frac{3}{1}=    \frac{39}{4}

If we divide this fraction, we obtain a mixed number, becuase the division is not exact

\frac{39}{4}= 9\frac{3}{4}

So, Paul can make 9\frac{3}{4} number of loaves. But, he cannot make an incomplete loaf, that means Paul can only make 9 loaves, and the remaining is 3/4, that's the "excess". You can get this answer by subtracting

9\frac{3}{4} - 9= \frac{39}{4}-9=\frac{39-36}{4}=\frac{3}{4}

Therefore, the answers are

a. 9\frac{3}{4}

b. \frac{3}{4}

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stepan [7]

Answer:

Value of x = 7/5

Step-by-step explanation:

Given:

ΔVUW ≅ ΔUST

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Value of x

Computation:

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So,

VU = US (By CPCT)

So,

5x + 11 = 18

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3 0
3 years ago
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Ronch [10]

Answer:

B and D

Step-by-step explanation:

Equations with the same x- term on both sides will have no solution

A

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This equation has a solution

B

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C

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- 10x ≠ 8x

This equation has a solution

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8 0
3 years ago
When a river​ flows, the strength or force of the river depends on how far the river falls vertically compared to how far it flo
strojnjashka [21]

The figure is missing. There are several problems with same wording but different numbers

Here, we can use:

  • Horizontal distance: 258 feet

  • Vertical fall: 56.0 feet

Answer:

  • Slope = 56.0 ft / 258 ft ≈ 0.217

Explanation:

The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.

There are several forms to express this with words, which represent the same formula. Here are some of them:

  • Slope = rise / run
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  • Slope = change in y / change in x
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  • Slope = (y₂ - y₁) / (x₂ - x₁)

As said, all those forms mean the same; they are equivalent.

Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:

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8 0
3 years ago
Which sequence of transformations creates a similar, but not congruent, triangle? A. Rotation and translation B. Reflection and
Nat2105 [25]
<span><u><em>The correct answer is: </em></u>
dilation and rotation.

<u><em>Explanation</em></u><span><u><em>: </em></u>
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.</span></span>
4 0
3 years ago
Read 2 more answers
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trapecia [35]

Answer:

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Step-by-step explanation:

The diameter of a sphere is 87 feet.

We need to find its surface area. The formula for surface area is given by :

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Where

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A=4\pi \times (\dfrac{87}{2})^2\\\\=7569\pi \ ft^2

So, the surface area of the sphere is equal to 7569\pi \ ft^2.

8 0
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