So, first lets define our variables:

let x = the number of dimes
let y = the number of nickels

so our first equation would be x+y = 16

Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:

.10x+.05y = 1.35

now change the first equation so y = -x+16
now substitute:

.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35

combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5

So, you have 11 dimes and 5 nickels

6 0

3 years ago

What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

$\frac{2}{3} = \frac{6}{x}$

2*3 = 6, we multiply top and bottom of fraction by 3

$\frac{2*3}{3*3} = \frac{6}{9}$

So value of x=9

4 : 7 = x : 42 ,

$\frac{4}{7} = \frac{x}{42}$

7*6 = 42, we multiply top and bottom of fraction by 6

$\frac{4*6}{7*6} = \frac{24}{42}$

So value of x=24

2x : 48 = 3 : 12,

$\frac{2x}{48} = \frac{3}{12}$

\frac{3}{12}[/tex] = $\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}$

2x= 12, so x= 6

12 : 15 = x : 20

$\frac{12}{15} = \frac{x}{20}$

$15 * \frac{4}{3} = 20$ ,

we multiply top and bottom by 4/3

$12 * \frac{4}{3} = 16$

So value of x=16

4 0

2 years ago

Read 2 more answers

Find two consecutive whole numbers that 52 lies between.

tensa zangetsu [6.8K]

<span>Think about which perfect squares lies on the immediate left of 52 and which lies on the immediate right of 52. 49 ---- 52 ------- 64 After that, take the square roots of each of the three numbers.</span>

3 0

3 years ago

Read 2 more answers

I need help with 5 and 6

8_murik_8 [283]

Answer:

w = 6

RS = 13

Step-by-step explanation:

RS + ST = RT

(2w + 1) + (w - 1) = 18

3w = 18

; w = 6

Hence the value of RS = 2(6) + 1

; RS = 13

AC = AB + BC

56 = (x + 16) + (5x + 10)

56 = 6x + 26....then rearrange the equation to form...;

56 - 26 = 6x

30 = 6x...

where...; x = 5

AB = 5 + 16 and BC = 5(5) + 10

;AB = 21 ;BC = 35

7 0

3 years ago