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stich3 [128]
3 years ago
10

Help!!!!

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0
7 \frac{2}{15 } + 5 \frac{2}{3} + 9 \frac{3}{15}

Convert mixed number to improper fraction.

\frac{107}{15} + \frac{17}{3} + \frac{148}{15}

Then change all the denominators into a same number

\frac{107}{15} +  \frac{85}{15} +  \frac{148}{15}

Add all the numerators but let all the denominators be same.

\frac{107+85+148}{15} = \frac{340}{15}

Change the improper fraction back into a mixed number..

22  \frac{10}{15} I see that we can still simplify the fraction.. 

22 \frac{10}{15} = 22 \frac{2}{3}

Your final answer is C. 22 \frac{2}{3}
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The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve
irinina [24]

Answer:

<u>Width = 7 inches</u>

<u>Length = 23 inches</u>

Step-by-step explanation:

Let :

  • length = 2x + 9
  • width = x

Equating to area :

  • (2x + 9)(x) = 161
  • 2x² + 9x = 161
  • 2x² + 9x - 161 = 0
  • 2x² - 14x + 23x - 161 = 0
  • 2x(x - 7) + 23(x - 7) = 0
  • x - 7 = 0
  • x = 7

Dimensions are :

  • <u>Width = 7 inches</u>
  • Length = 2(7) + 9
  • <u>Length = 23 inches</u>
8 0
2 years ago
Read 2 more answers
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
KIM [24]

Answer:

D

Step-by-step explanation:

First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.

If point D divides the segment AB in the ratio m:n, then

D\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)

So

D\left(\dfrac{3\cdot 2+5\cdot 10}{5+3},\dfrac{3\cdot (-6)+5\cdot 2B}{5+3}\right)=D(7,-1)

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.

Thus, C(2,-1)

5 0
3 years ago
Read 2 more answers
1. If 27.4578 is increased by 9.3456, what is the answer?
Dahasolnce [82]

Answer:

36.8034

not sure.....

4 0
3 years ago
Find the area of the square with the side length of 2x+5
zimovet [89]
4x^2 +20x +25
(2x+5)(2x+5)
8 0
3 years ago
2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
marishachu [46]

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

PLEASE MARK ME AS BRAINLIEST

6 0
3 years ago
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