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mezya [45]
2 years ago
9

The 25 coins in Danielle's piggy bank have a value of at least $1.44. The bank contains only nickels and dimes. What is the fewe

st number of dimes that could be in the bank?
Mathematics
2 answers:
mamaluj [8]2 years ago
8 0

Answer:

The fewest number of dimes could be 4.

Step-by-step explanation:

Let x be the number of nickels and y be the number of dimes,

Since, total coins = 25

⇒ x + y = 25

⇒ x = 25 - y -----(1)

Now, 1 nickel = 0.05 dollars and 1 dimes = 0.1 dollars,

So, the total cost = 0.05x + 0.1y

According to the question,

0.05x + 0.1y ≥ 1.44

From equation (1),

0.05(25-y) + 0.1y ≥ 1.44

1.25-0.05y + 0.1y ≥ 1.44

1.25 + 0.05y ≥ 1.44

0.05y ≥ 1.44 - 1.25

0.05y ≥ 0.19

y ≥ 3.8 ≈ 4

Hence, the fewest number of dimes that could be in the bank is 4.

Tju [1.3M]2 years ago
6 0
Should be 3 dimes at least.
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triangle abc has vertices at a(-2 3),B(0,3),c(-1,-1). Find the coordinates of the image after a reflection over the x-axis.
Crazy boy [7]

The new coordinates of the triangle after reflection from x-axis would be  A(-2, -3) , B(0, -3) and C( -1, 1 )

<u>Explanation:</u>

The vertices of the triangle are A(-2 3), B(0,3), C(-1,-1)

The reflection is over the x-axis.

When the reflection is along the x-axis, the coordinates of x does not change. However, the coordinates of y does change.

The negative value of y becomes positive and the positive value of y becomes negative.

Similarly,

A(-2, 3) would become A(-2, -3)

B(0, 3) would become B(0, -3)

C(-1, -1) would become C( -1, 1 )

Therefore, the new coordinates of the triangle after reflection from x-axis would be  A(-2, -3) , B(0, -3) and C( -1, 1 )

6 0
3 years ago
Determine the slope of the line that passes through the given points. Complete your work in the space provided.
kupik [55]

Answer:

0

Step-by-step explanation:

Slope formula y2-y1/x2-x1

-4-1/8-8

simplify

-5/0

slope is 0

6 0
2 years ago
Complete the equation of the line through (2, -2) and (4,1)
Ann [662]

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

3 0
3 years ago
A) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
ollegr [7]

Answer:

g o f = g(f(x)) = 32x^2 + 32x + 4

Step-by-step explanation:

Given

f(x) = 4x +2

g(x) =2x^2 - 4

Required:

Find g o f

This is calculated as:

gof = g(f(x))

g(x) =2x^2 - 4

So:

g(f(x)) = 2(4x+2)^2 - 4

g(f(x)) = 2(4x+2)(4x+2) - 4

g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4

g(f(x)) = 32x^2 + 32x + 8 - 4

g(f(x)) = 32x^2 + 32x + 4

5 0
3 years ago
Help pls..................
Triss [41]

Answer:

Area = 152ft²

Step-by-step explanation:

Simpifly:

A = 13(13-6) + 9(13-6)

A = 13(7) + 9(7)

A = 22(7)

A = 22(7)

A = 20(7)+2(7)

A = 140 + 14

A = 152

5 0
2 years ago
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