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VLD [36.1K]
2 years ago
10

A recipe for cookies calls for 23 of a cup of sugar per batch. Elena used cups of sugar to make multiple batches of cookies. How

many batches did she make?
Mathematics
1 answer:
Oxana [17]2 years ago
6 0

Answer:

8

Step-by-step explanation:

Answer: 8 batches

Step-by-step explanation:

To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction

5 1/3 = 16/3

Then we can now use the proportion to solve

2/3 cups = 1 batch

16/3 cups = x (note:5 1/3=16/3)

cross multiply

2/3 × x = 16 /3

2x/ 3 = 16/3

we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2

2/3 × 3/2 x = 16/3 × 3/2

6x /6 = 48 / 6

x = 8

Therefore she made 8 batches of cookies.

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Tom's toy box is shown below. The toy box is shaped like a rectangular prism. It has 5 wooden faces and is open on the top. What
mihalych1998 [28]

Answer:

1100 square inches

Step-by-step explanation:

The faces are all rectangles (area = length x width)

Area of bottom:  20 x 10 = 200

Area of front: 20 x 15 = 300

Area of back (same as front) = 300

Area of right side: 10 x 15 = 150

Area of left side (same as right side) = 150

Total of all the sides: 1100

8 0
2 years ago
Express 160 as product of their prime factor
MariettaO [177]

Answer: 5x2^5

Step-by-step explanation: Divide 160 by 2 as many times as you can to get 80x2, 40x2x2, 20x2x2x2, 10x2x2x2x2, 5x2x2x2x2x2. Then re-write your answer so that it is 5x2^5.

4 0
2 years ago
Two towns, Ancaster and Dundas, are 4 km and 6 km, respectively, from an old railroad line that has been made into a bike trail.
serg [7]
Okay, so first you draw a picture and let x be the distance from point D to the rest stop. Then the distance from point  to the rest stop is  8 - x

You know that the length of the new trail is y + z, where y is the distance from Ancaster to the rest stop and z is the distance from Dundas to the rest stop. 

Now by the Pythagorean theorem,  y^2 = 4^2 + x^2 and  z^2 = 6^2 + (8 - x) ^2

So take square roots of these, add them, and minimize. 

Note: I am assuming the path is perfectly straight, otherwise this approach fails.
8 0
2 years ago
7. A seed company planted a floral mosaic
jenyasd209 [6]

Answer:

w = 160, L = 50

Step-by-step explanation:

Length = 50 feet

Width = 160 feet

First Find the Length

w = l + 110

P=2w+2l

420=2w+2l

420=2(l+110)+2l

420=2l+220+2l

4l=200

l=50

Finding the Width

w=(50)+110

w=160

7 0
2 years ago
Write 1-2log7x as a single logarithm
slavikrds [6]

Answer:

log_{7} \frac{7}{x^{2} }

Step-by-step explanation:

We need to write 1 - 2log_{7}x as a single logarithm.

We know that

log_{7}7 = 1

Therefore we have:

log_{7}7 - 2log_{7}x

→ log_{7}7 - log_{7}x^{2}

→ log_{7} \frac{7}{x^{2} }

The solution is: log_{7} \frac{7}{x^{2} }

4 0
3 years ago
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