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kozerog [31]
3 years ago
9

1/4 times the sum of a number and −3.2 is 1.8. What is the number?

Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of  x  and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \  3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\

x = 10.4

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Simplify (3v5+8v3−10v2)−(−12v5+4v3+14v2) . Write answer in standard form.<br> ​<br> ​
Tatiana [17]

Answer:

15v^5+4v^3-24v^2

Step-by-step explanation:

Distribute the Negative Sign:

=3v5+8v3−10v2+−1(−12v5+4v3+14v2)

=3v5+8v3+−10v2+−1(−12v5)+−1(4v3)+−1(14v2)

=3v5+8v3+−10v2+12v5+−4v3+−14v2

Combine Like Terms:

=3v5+8v3+−10v2+12v5+−4v3+−14v2

=(3v5+12v5)+(8v3+−4v3)+(−10v2+−14v2)

=15v5+4v3+−24v2

Answer:

=15v5+4v3−24v2

Hope this helps! :)

5 0
3 years ago
What two numbers have the sum of 12 and the difference of 4
Veronika [31]

Answer:

8 and 4

Step-by-step explanation:

8+4= 12

8-4= 4

hope this helped♥

5 0
3 years ago
Read 2 more answers
Write the equation for the red part of the piecewise function. Ex: f(x) = mx+b
Akimi4 [234]
The easiest way is to compare two different whole-number points. So, the first one is (0,2) and the other is (3,3), meaning that it's 3 right, 1 up. This means that the slope is ⅓. (⅓x)
Next is the point that intercepts the y-axis. In this case, at x=0 y=2. (+2)

So, the equation for the red part is ⅓x+2
3 0
3 years ago
The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?
Ne4ueva [31]

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}

Cross products,

5x = 120

Inverse operations,

x = 24

4 0
3 years ago
2. The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025
lukranit [14]
A.) 5.8 X 10^{7}

b.) 2.5 X 10^{-3}

c.) you must first get the units of distance the same, so either convert km to cm or cm to km.

Hope this helps!
4 0
3 years ago
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