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Bad White [126]
2 years ago
14

The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s presen

t age is s years, which equation models this situation?
Mathematics
1 answer:
fomenos2 years ago
6 0
Hello,

Let's assume f the age of the father,
s the age of the son.

<span>The age of a father is 2 less than 7 times the age of his son ==> f=7s-2 (1)

</span>
<span>In 3 years, the sum of their ages will be 52 ==>(f+3)+(s+3)=52 (2)

(2)==>f+s+6=52
==>f+s=46 (3)
(3) and (1) ==>7s-2+s=46
==>8s=48
==>s=6
f=46-6=40




</span>

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the area of a rectangle is 90 in2^. the ratio of the length to the width is 5:2. find the length and the width
-BARSIC- [3]

Length and width of rectangle is 15 inches and 6 inches respectively

<h3><u>Solution:</u></h3>

Given that area of a rectangle is 90 square inch

Ratio of length to the width = 5: 2.

Need to determine length and width of rectangle.  

As ratio of length to the width is 5 : 2

Lets assume length of rectangle = 5x inches and width of rectangle = 2x inches.

<em><u>The formula for area of rectangle is given as:</u></em>

\text { Area of rectangle }=\text { length of rectangle } \times \text { width of rectangle}

Substituting the given value of area of rectangle and assumed value of length and width of rectangle we get:

\begin{array}{l}{90=5 x \times 2 x} \\\\ {=>90=10 x^{2}}\end{array}

On solving the above expression for x we get

\begin{array}{l}{=>\frac{90}{10}=x^{2}} \\\\ {=>x^{2}=9} \\\\ {=>x=\sqrt{9}=3}\end{array}

\begin{array}{l}{\text { Length of rectangle }=5 \times x=5 \times 3=15 \text { inches }} \\\\ {\text { Width of rectangle }=2 \times} x=2 \times} 3=6 \text { inches }}\end{array}

Hence length and width of rectangle is 15 inches and 6 inches.

4 0
3 years ago
Slove by using elimination <br> 3x+7y=27 <br> -3x+y=21
tankabanditka [31]

Answer:

x = -5

y = 6

Step-by-step explanation:

3x + 7y = 27      --------------(I)

-3x + y = 21        -----------(II)

Add equation (I) & (II) and so x will be eliminated and we can find the value of y.

(I)      3x + 7y = 27    

(II)    <u> -3x + y = 21  </u>      {add}

                8y = 48

                   y = 48/8

                   y = 6

Plugin y = 6 in equation (I)

3x +7*6 = 27

3x + 42 = 27

       3x = 27 - 42

       3x = -15

         x = -15/3

x = -5

8 0
3 years ago
A number that, when multiplied with another number, yields a result of 1 is called its multiplicative ____.
Aliun [14]

Answer:

multiplicative inverse

Step-by-step explanation:

A number that is multiplied by it's multiplicative inverse equals one.

A multiplicative inverse is also called a reciprocal.

Example:

1/7 is 7's multiplicative inverse.

\frac{7}{1} *\frac{1}{7} =\frac{7}{7} =1

5 0
3 years ago
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Find the perimeter of angle ABC with verticals A(1,-6), B(1,-3) and C(-4,-6)
disa [49]

Answer:

its 13.83

Step-by-step explanation:

Use the distance formula and plug them in

6 0
3 years ago
Pls help xDDDDD thx!
prohojiy [21]

Answer:

-25

Step-by-step explanation:

7 0
2 years ago
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