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Aleksandr-060686 [28]

3 years ago

15

A purse contains $2.95 in quarters and dimes. The number of quarters exceeds the number of dimes by 2. Find the number of quarte

rs and dimes in the purse.

1 answer:

abruzzese [7]3 years ago

4 0

Answer:

9 quarters and 7 dimes

Step-by-step explanation:

1 quarter = $0.25

1 dime = $0.10

9 (0.25) = $2.25

7 (0.10) = $0.70

2.25 + 0.70 = $2.95

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1,000,000,000 in scintiufci notioation

kolbaska11 [484]

1 x 10 to the 9th power

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3 years ago

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2(-2x + 2) + x + 3 = 37

Pavel [41]

Answer:

x=-10 is your answer

Step-by-step explanation:

2(-2x+2)+x+3=37

-4x+4+x+3=37

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3 years ago

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Write an equation in slope-intercept form of the line shown.

7nadin3 [17]

Answer:

$y = 2x - 5$

Step-by-step explanation:

Find the slope using the points, (1, -3) and (3, 1):

$slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2$

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in $y = mx + b$

$-3 = (2)(1) + b$

$-3 = 2 + b$

Subtract 2 from both sides

$-3 - 2 = 2 + b - 2$

$-5 = b$

$b = -5$

Plug in the value of m and b into the slope-intercept form equation, $y = mx + b$ .

Thus:

$y = 2x +(-5)$

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5 0

3 years ago

Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1

Tanya [424]

Answer: x = 4, y = 3

<u>Step-by-step explanation:</u>

$y=\dfrac{1}{4}x+2$ and $y=x-1$

Using substitution method we get:

$x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3$

3 0

3 years ago

jamie and emily are married and make a total annual gross pay of 91,500. Use the table below to calculate their total and federa

olya-2409 [2.1K]

Their total income tax is $10,980.

<h3><u /></h3><h3><u>Percentages</u></h3>

Given that Jamie and Emily are married and make a total annual gross pay of $91,500, to determine their total income tax at 12% rate, the following calculation must be performed:

91500 x 12/100 = X
91500 x 0.12 = X
10980 = X

Therefore, their total income tax is $10,980.

Learn more about percentages in brainly.com/question/1691136

8 0

2 years ago