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3 years ago

9

NUMBER & OPERATIONS - FRACTIONS Week 1 THURSDAY Write the equation for each problem. 1. 4 friends want to share 10 boxes of

cookies equally. How many boxes of cookies shoul each friend get?

1 answer:

Lunna [17]3 years ago

6 0

Answer:

10/4= 2.5 boxes for each friend

Step-by-step explanation:

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When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the v

Zielflug [23.3K]

The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.

7 0

3 years ago

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In the diagram below, we have $ST = 2TR$ and $PQ = SR = 20$. Find the length $UV$.

Maslowich

Answer:

12

Step-by-step explanation:

1. $ST=2TR$ and $SR=20,$ then by segment addition postulate

$ST+TR=SR\\ \\2TR+TR=SR\\ \\3TR=20\\ \\TR=\dfrac{20}{3}\\ \\ST=2\cdot \dfrac{20}{3}=\dfrac{40}{3}$

2. Consider triangles PQU and TSU. These triangles are similar by AA similarity theorem (triangles have congruent vertical angles PUQ and TUS and congruent alternate interior angles PQU and TSU). Similar triangles have proportional corresponding sides, so

$\dfrac{QU}{US}=\dfrac{PQ}{ST}=\dfrac{20}{\frac{40}{3}}=\dfrac{60}{40}=1.5$

$QU=1.5US$

3. Consider triangles QUV and QSR. These triangles are similar by AA similarity theorem. Similar triangles have proportional corresponding sides, so

$\dfrac{QU}{QS}=\dfrac{UV}{SR}\\ \\\dfrac{QU}{QU+US}=\dfrac{1.5US}{1.5US+US}=\dfrac{1.5}{2.5}=0.6$

so

$\dfrac{UV}{SR}=0.6\Rightarrow UV=0.6SR=0.6\cdot 20=12$

7 0

3 years ago

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Tyler baked 702 cookies he sold them in boxes of 18 after selling all of the boxes of cookies for the same amount of each he ear

jenyasd209 [6]

Keywords:

<em>Cookies, boxes, sale, profit, unit cost </em>

For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.

Let $"x"$ be the number of boxes of cookies:

So, to know the number of boxes we divide 702 cookies among 18:

$x = \frac {702} {18}\\x = 39$

So, we have Tyler sold 39 boxes of cookies

Now, let $"y"$ be the cost of each box of cookies, to know the unit cost or sale price of the cookie boxes, we divided 136.50 dollars among 39 boxes of cookies, then:

$y = \frac {136.50} {39}\\y = 3.5$

Thus, the cost of each box was 3.5 dollars.

Answer:

The cost of a box is 3.5 dollars

5 0

3 years ago

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Help neededdddddddddddd

antoniya [11.8K]

Answer:

SU = 30

RS = 27 I believe

Step-by-step explanation:

Hope that helps!

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3 years ago

2) The ratio of girls to boy is the math club was 3:5. If they were 120 children altogeth

baherus [9]

Answer:

45 girls

Step-by-step explanation:

The ratio of girls to boys is 3:5

There are 120 children altogether

The number of girls is;

$\frac{3}{8}$ × 120 = 45 girls

3 0

4 years ago