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melamori03 [73]
3 years ago
14

If 3/15 is equivalent to 45/n. find n

Mathematics
2 answers:
Zanzabum3 years ago
8 0
3/15=45/n
Cross multiply
3n=675
Divide both sides by 3
n=675/3
n=225
Radda [10]3 years ago
3 0

Answer:

n = 225

Step-by-step explanation:

Multiply 15 by 15

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Which value of x makes this equation true?
sergejj [24]

Answer:

x=-5

Step-by-step explanation:

opening the bracket on the LHS, we have

-8x-40= -3x+x-7-3

-8x-40= -2x-10

collecting like terms

-8x+2x= -10+40

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divide both sides by -6

x= -5

6 0
3 years ago
Solve the following system of equations by graphing and select the correct answer below:
JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute y=0 into the equation and solve for "x".

To find the y-intercept, substitute x=0 into the equation and solve for "y".

- For the first equation:

x-intercept

4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25

y-intercept

4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5

y-intercept

2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

x=5\\y=3

7 0
3 years ago
Read 2 more answers
Can two dot plots have the same median and range but not have completely different shapes?
Leona [35]
Yes because the median and range are not a function of the totality of the sample set, the median is just value that is halfway of the set and the range is the difference of the highest and lowest value. As long as the lowest and highest value and the halfway value are the same in each set, the median and range will be equal no matter what the other values of the set are.
3 0
3 years ago
Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current monthly rent. Let r r
Inessa05 [86]

Answer:

r = 43.35

Step-by-step explanation:

Given

Current\ Rent = r

Increment = 15\%

New\ Rent = \$51

Required

Determine the value of r

The value of r can be set up percentage increase formula as follows:

\%Increment  = \frac{New\ Rent - Current\ Rent}{Current\ Rent}

Substitute values in the above equation

15\% = \frac{51 - r}{51}

Cross Multiply

51 - r = 15\% * 51

Convert percentage to decimal

51 - r = 0.15 * 51

51 - r = 7.65

And the value of r\ is\ calculated\ using:

r = 51 -7.65

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Hence, Cody's current rent is $43.35 monthly

8 0
3 years ago
12. Find the area lying above the x - axis and below the parabolic curve y = 4x - x2.
Margarita [4]
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4x-x²
x(4-x)
zeroes at x=0 and x=4
it opens down
so the part we are interested in is the bit between x=0 and x=4

\int\limits^4_0 {4x-x^2} \, dx =[2x^2- \frac{1}{3}x^3]^4_0=(32- \frac{64}{3})-(0)=  10.6666666666 or aout 10 and 2/3

C is answer
6 0
3 years ago
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