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Daniel [21]
3 years ago
11

The difference between a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

-4

Step-by-step explanation:

x-6=5(x+2)

x-6=5x+10

-6=4x+10

-16=4x

-4=x

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Kathy is paid $7.50 per hour for babysitting. If she babysits for 5 hours on Friday night, write an equation to represent how mu
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Answer:

$37.5

Step-by-step explanation:

$7.50=in one hr

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since you can cross each other

<h2>therefore the resalt it will give $37.50 right</h2>
4 0
2 years ago
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Write the equation in slope-intercept form then change it to standard form with integer coefficients.
SCORPION-xisa [38]

Answer:

1. Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

2. Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

3. Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

Step-by-step explanation:

Slope intercept form:   y = mx + b

where:

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept

Standard form:  Ax + By = C

\textsf{1.  as} \ m=2: \ \ y = 2x + b

   \textsf{at} \  (6, 8): \ \ 8 = 2(6) + b

   \implies b = -4

Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

\textsf{2.  as} \  \ m = \dfrac12: \ \ y = \dfrac12x + b

    \textsf{at} \  (4, 1): \ \ 1 = \dfrac12(4) + b

    \implies b = -1

Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

\textsf{3.  as} \  \ m = \dfrac45: \ \ y = \dfrac45x + b

   \textsf{at} \  (1,5): \ \ 5 = \dfrac45(1) + b

   \implies b = \dfrac{21}{5}

Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

7 0
2 years ago
Classify the following triangle. Check all that apply.
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7 0
4 years ago
Help with this math question
tresset_1 [31]
The given inequality is:

|-8x+24| \leq 16

This inequality can be divided in two parts as:

a) -16 \leq -8x +24
b) -8x + 24 \leq 16

Solving part a:

-16 \leq -8x+24 \\  \\ &#10;-40 \leq -8x \\  \\ &#10;5 \geq x \\ &#10;or \\ &#10;x \leq 5

Solving part b:

-8x+24 \leq 16 \\  \\ &#10;-8x \leq -8 \\  \\ &#10;x \geq 1

Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.

In interval notation, this solution can be expressed as [1,5]
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Answer: 63 apple trees
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