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balu736 [363]
3 years ago
11

Please help?

Mathematics
2 answers:
satela [25.4K]3 years ago
6 0

Answer:

1 \frac{3}{5}  can of tomatoes are used in each quart

Step-by-step explanation:

To find the number of tomatoes used in each quarts, we will follow the steps below;

Using proportion to solve, let x be the number of cans needed in each quart

4 cans =  2 \frac{1}{2} quarts

  x       =  1     quart

cross-multiply

2 \frac{1}{2} x = 4

\frac{5x}{2}   = 4

cross-multiply

5x = 8

Divide both-side of the edquation by 5

\frac{5X}{5}  =  \frac{8}{5}

(On the left-hand side of the equation 5 at the numerator will cancel-out  5 at the denominator while at the right-hand side of the equation 8 will be divided by 5)

x = \frac{8}{5}

x = 1 \frac{3}{5}  can

Therefore 1 \frac{3}{5}  can of tomatoes are used in each quart

Olenka [21]3 years ago
4 0
3/4 Is the answer to your questions
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6 0
3 years ago
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Ilya [14]

Answer:

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Step-by-step explanation:

Using Sine Law we know that

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Using your figure let's assign sides and angles:

A=? B = 60° C = 70°

a = 5 b = ? c = x

If we put that into our formula:

\dfrac{5}{Sin?}=\dfrac{?}{Sin60}=\dfrac{x}{Sin70}

Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?

Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°

∠A + ∠B + ∠C= 180°

∠A + 60° + 70° = 180°

∠A + 130° = 180°

∠A = 180° - 130°

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Now we can use this to solve for x.

\dfrac{5}{Sin50}=\dfrac{x}{Sin70}\\\\\dfrac{(5)(Sin70)}{Sin50} = x\\\\\dfrac{4.6985}{0.7660}=x\\\\6.1338 =x

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The perimeter of a rectangular field is 360yd. The length is 20yd longer than the width. Find the dimensions
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3 years ago
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