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tatyana61 [14]
3 years ago
8

Blake and Josh are both saving money for a new bike. The ratio of Blake's savings to Josh's savings is 3:1. If they have saved $

400, how much has each boy saved?
Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

3x+x=400

4x=400

Divide both sides by 4.

x=100

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.

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Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his
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Step-by-step explanation:

<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>Inform</u><u>ation</u><u> </u><u>:</u></h3>

  • Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
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<h3><u>T</u><u>o</u><u> </u><u>calculate</u><u> </u><u>:</u></h3>

  • His monthly salary.

<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u></h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\

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\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\

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\longrightarrow\sf {15939= 21x - 10x} \\

\longrightarrow\sf {15939= 11x} \\

\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\

\longrightarrow\underline{\boxed{\bf {1449= x}}} \\

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352

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Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?
Komok [63]

Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

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(-3, 4)

The rule of reflection across x-axis is given by:

(x, y) \rightarrow (x , -y)

(-1, 1) \rightarrow (-1 , -1)

(-1, 4) \rightarrow (-1 , -4)

(-3, 1) \rightarrow (-3 , -1)

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Next, translate this 8 unit right which is given by:

(x, y) \rightarrow (x+8 , y)

(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)

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(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)

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