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Illusion [34]
3 years ago
11

James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10 cent coins does he have?

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0
Im sorry if my solution is confusing !!

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The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Finger [1]

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: (x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

<em>Where</em>,

(x_m, y_m) = coordinates of the midpoint

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Given the following:

(x_m, y_m) = M( 6,-4)

(x_1, y_1) = G(8,-2)

(x_2, y_2) = H(?, ?)

Plug in the values into the midpoint formula

M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )

Solve for the x-coordinate and y-coordinate separately

6 = \frac{8 + x_2}{2}

  • Multiply both sides

6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}

-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

3 0
2 years ago
How much would $500 invested at 5% interest compounded continuously be worth after 8 years? Round your answer to the nearest cen
sleet_krkn [62]

Answer:

745.88

Step-by-step explanation:

4 0
4 years ago
Help pleaseee i am awful at math
kupik [55]

Step-by-step explanation:

answer is B

use unitary method to solve it

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20-%20%284x%20-%2015%29%20%5Cgeqslant%20-%209%283%20%2B%20x%29" id="TexFormula1" title=" - (4
Kay [80]

- (4x - 15) \geqslant  - 9(3 + x) \\  - 4x + 15 \geqslant  - 27 - 9x \\  - 4x + 9x \geqslant  - 27 - 15 \\ 5x \geqslant  - 42 \\ x \geqslant  - 8 \dfrac{2}{5}


21 + x > 2( - 2 - 5x) + 6x \\ 21 + x >  - 4 - 10x + 6x \\ x + 10x - 6x >  - 4 - 21 \\ 5x >  - 25 \\ x >  - 5

Hope this helps. - M
5 0
3 years ago
Kendra needs 1 dollar to buy a ball she has 73 cents what coins does she need to add her 73 cents
Alexeev081 [22]

Answer:

Kendra needs 3 coins (1 coin of 25 cent & 2 coins of 1 cent)  to add 27 cents in 73 cents to make 1 dollar

Step-by-step explanation:

Given :

Kendra has 73 cents

She need 1 dollar to by a ball

∴ She requires additional money = 1\ dollar - 73 \ cents = 27 \ cents

Standard Coins available are 50 cents , 25 cents, 10 cents, 5 cents and 1 cent.

To make 27 cents =  25+1+1 = 1 coin of 25 cent & 2 coins of 1 cent

5 0
4 years ago
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