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alexandr1967 [171]
3 years ago
14

Find the value of n in each equation. Then name the property that is used in each step. 7 + 1.5 = n + 1.5

Mathematics
1 answer:
zalisa [80]3 years ago
8 0
7 + 1.5 = n + 1.5  \text{Cancel 1.5 on both sides}

n=7 \text{Solution}
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A wire 30 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole. How high
sweet-ann [11.9K]

Answer:

28.3

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the answer. 10^2 + x^2 = 30^2

7 0
3 years ago
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An art studio charges a start-up fee to cover art supplies, plus an additional fee per class. The graph shows the total cost for
Studentka2010 [4]

Answer/Step-by-step explanation:

✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):

rate of change = \frac{y_2 - y_1}{x_2 - x_1} = \frac{75 - 60}{1} = \frac{15}{1} = 15

Rate of change (m) = 15

✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.

✔️Initial value is the same as the y-intercept.

To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

The initial value/y-intercept = $30

✅In this context, $30 is the start-up fee to cover art supplies.

5 0
2 years ago
Which represents a side length of a square that has an area of 450 square inches?
amm1812

The formula of an area of a square:


A=a^2


a - a side


We have A=450\ in^2


substitute:


a^2=450\to a=\sqrt{450}\\\\a=\sqrt{225\cdot2}\\\\a=\sqrt{225}\cdot\sqrt2\\\\\boxed{a=15\sqrt2\ in}


Used:

\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}

5 0
3 years ago
Which of the following is equivalent to 7.4 kilograms? 740,000 mg 740 g 74 hg 74,000 cg
dlinn [17]
<span>Which of the following is 7.4 kilograms?
=> 740 000 mg
=> 740 g
=> 74 hg
=> 74 000 cg
Let’s base on the Unit of measurement or conversion.
=> 740 000 mg
In every 1 kilogram is equals to 1 000 000
=> 7.4 kg * 1 000 000 mg = 7 400 000 mg
It’s not the correct Answer
=> 740 g
In every 1 kg is equals to 1 000 grams
=> 7.4 * 1000 = 7 400 grams
Thus, it’s not the correct answer
=> 74 hg
In every 1kg is equals to 10 hectograms
=> 7.4 kg x 10 = 74hg
Thus, this is the correct answer
=> 74 000 cg
In every 1kg is equals to 100 000
=> 7.4 * 100 000 = 740 000
not the correct answer.

</span>



8 0
3 years ago
Read 2 more answers
Show your work and solve please!
bixtya [17]

Answer:

y = 3

Step-by-step explanation:

-5y + 8 = -7

subtract 8 from both sides

-5y = -15

now, divide -5 from both sides

y = 3

4 0
2 years ago
Read 2 more answers
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