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pochemuha
3 years ago
10

For a craft activity at a daycare, each child will need 1.75 yards of ribbon and 2.8 yards of fabric. There are 25 yards of ribb

on and 30 yards of fabric available. Estimate the number of children that can participate in the activity. Explain your reasoning.
Mathematics
2 answers:
devlian [24]3 years ago
8 0
25/1.75 is approximately 14
30/2.8 is about 10. Because the kids need BOTH ribbon and fabric, only 10 can participate because that's all the fabric available
marta [7]3 years ago
6 0

Answer:

Thus, only 10 children will be able to participate in the activity.

Step-by-step explanation:

Total quantity of Ribbon = 25 yards

Total quantity of Fabric available = 30 yards

Amount of ribbon required by a child = 1.75 yards

Amount of fabric required by a child = 2.8 yards

Ribbon is available for \frac{\text{Total quantity of ribbon}}{\text{Ribbon required for one child}} = \frac{25}{1.75} = 14.29 ≈ 14 Children

Ribbon is available for \frac{\text{Total quantity of fabric}}{\text{Fabric required for one child}} = \frac{30}{2.8} = 10.71 ≈ 10 Children

Thus, only 10 children will be able to participate in the activity as enough fabric is not available for 14 children to participate.

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Sarah's age is four more than twice her brothers age. Write two equivalent algebraic equations that can be used to find their ag
marissa [1.9K]

Answer:

Step-by-step explanation:

Let her brother's age be x

Sarah is 2x + 4

3 0
3 years ago
What is the lateral area of the figure below. Use 3.14 for pi and round to
nydimaria [60]

Answer:

<em><u>838.67mm {}^{2}</u></em>

Step-by-step explanation:

Note

<h2>Area of a cone = 1/3pir squared * height</h2>

4 0
3 years ago
A worker at a snack stand opened a new box of cups. On the first day, the worker used 30 cups from the box. On the second day, t
Solnce55 [7]

Answer:

<em>630 cups</em>

Step-by-step explanation:

<u>Percentages</u>

This problem is most easily solved backward, i.e., from the final data up to the beginning.

There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.

If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.

On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups

7 0
3 years ago
Please explain every step
pogonyaev
<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}

<u>Identify the following's</u>:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

\sf Geometric \ Sum \ of  \ Terms = \dfrac{a(r^n - 1)}{r-1}

===========================

Solving Steps:

<em />\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}<em />

<em />

<em />\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}<em />

<em />

<em />\rightarrow \sf 761679.5808<em />

<em />

\rightarrow \sf 761680 \ \ \  (rounded \ to \ nearest \ integer)

8 0
2 years ago
Shanta got 215 marks in an examination. if she had got 10 marks more, she would have scored 60% of the total marks. What are the
ololo11 [35]
She got 215....but if she would have gotten 10 more, she would have scored 60% of the total marks......so if she got (215 + 10) = 225 she would have scored 60% of the total marks...

so 60% of the total marks = 225
0.60x = 225
x = 225/0.60
x = 375 <===
8 0
3 years ago
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