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3 years ago

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Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

The first photo are for questions 3-5

The second photo are for 6-8

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18. Jace has $2.15 in nickels and dimes. If he has 7 more nickels than dimes, how many of each kind of coin does he have?

Gwar [14]

There are 12 dimes and 19 nickels

<h3>The required simultaneous equations</h3>

Since Jace has $2.15 in nickels and dimes.

We know that 1 nickel = $ 0.05 and 1 dime = $0.10

Let

n = number of nickels and
n' = number of dimes

We have that

0.05n + 0.10n' = 2.15 (1)

Since he has 7 more nickels than dimes, we have that

n = n' + 7 (2)

<h3>The number of dimes</h3>

Substituting equation (2) into (1), we have

0.05n + 0.10n' = 2.15 (1)

0.05(n' + 7) + 0.10n' = 2.15

0.05n' + 0.35 + 0.10n' = 2.15

0.15n' + 0.35 = 2.15

0.15n' = 2.15 - 0.35

0.15n' = 1.8

n' = 1.8/0.15

n' = 12

<h3>The number of nickels, </h3>

Since the number of nickels, n = n' + 7

Substituting n = 12 into the equation, we have

n = n' + 7

n = 12 + 7

n = 19

So, there are 12 dimes and 19 nickels

Learn more about simultaneous equations here:

brainly.com/question/21654746

4 0

2 years ago

HELPP PLEASE What is the value of x in the diagram below?

Westkost [7]

Answer:

x = 3

Step-by-step explanation:

The triangles are similar, using ratios

x 8

------ = -----------

18 48

We can use cross products to solve

48x = 8*18

48x = 144

Divide each side by 48

48x/48 = 144/48

x =3

8 0

3 years ago

(x+3)=6 Solve the equation

kvv77 [185]

You do x + 3 which equals 3x and then divide it by 6 which equals 2

7 0

3 years ago

In the number 36,802 if the 8 was replaced with a 2 would the value increase or decrease

stepan [7]

Answer:

decrease

Step-by-step explanation:

4 0

3 years ago

Graph the image of the given triangle under a dilation with a scale factor of –4 and center of dilation (0,0).

Dvinal [7]

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

A (1,2)
B (1,-2)
C (-2,-2)
Scale factor = -4 and centre at (0,0)

Now, We have;

P(x,y)----------- P'(kx, ky)

Keep formula;

A(1,2)---------- A'(-4×1 ,-4×2)

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ The A' should be kept in (-4,-8). There was no place in this graph so, i kept it just below -7. Please while plotting remember to keep it on "-8".]

Hope it helps..

8 0

4 years ago