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AVprozaik [17]
3 years ago
5

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

x=9

Step-by-step explanation:

We have two similar triangles because both lines are parallel, use proportions to solve:

\frac{72}{9} =\frac{56}{3x-20}\\8=\frac{56}{3x-20}\\8(3x-20)=56\\3x-20=7\\3x=27\\x=9

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Jenna has a savings account invested in stocks and bonds. 20% of her savings is in bonds. If Jenna has $2,200 in bonds, how much
VladimirAG [237]

Answer: Her total savings are equal to $11,000.

Step-by-step explanation:

Hi, to answer this question we have to write an equation.

The total savings (x) multiplied by the percentage in bonds (in decimal form) must be equal to $2,200.

Mathematically speaking:

x (20/100) = 2,200

Solving for x:

x = 2,200/ 0.2

x = $11,000

Her total savings are equal to $11,000.

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
HELPPPPPPPP PLS!!!!!!!
VikaD [51]

Answer:

(15x + 120) ft³

Or

15(x + 8) ft³

Step-by-step explanation:

The prism can be decomposed into a rectangular prism and a triangular prism

The volume of the prism = volume of the rectangular prism + volume of the triangular prism

✔️Volume of rectangular prism = L*W*H

L = 5 ft

W = 4 ft

H = 6 ft

Volume = 5*4*6 = 120 ft³

✔️Volume of triangular prism = ½*b*h*l

b = x ft

h = 6 ft

l = 5 ft

Volume = ½*x*6*5 = 15x ft³

✔️Volume of the prism = (15x + 120) ft³

6 0
3 years ago
Kadence took a random sample of students at her school and asked them how much they typically slept on a school night versus a w
pochemuha

Answer:

The answer is "3.329".

Step-by-step explanation:

Please find the complete question in the attached file.

\text{test statistic t} = \frac{slope}{standard \ error}

                      =\frac{0.789}{0.237}\\\\=3.329

3 0
3 years ago
3rd time asking for helpppp plz answer number 3
finlep [7]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
A trapezoid has a height of 8 cm and bases with lengths of 14 cm and 8 cm. Tina says the area of the trapezoid is 176 cm2.
Sonbull [250]

Answer:

Step-by-step explanation:

Let's do this properly:

                                 

Area of trapezoid =  average length times height.

Here,

Area = (1/2)(8 cm + 14 cm)(8 cm), or

         = (11 cm)(8 cm) = 88 cm^2

It appears that Tina forgot to divide the sum of 14 cm and 8 cm by 2.  Thus, her answer is twice as large as it should be.

7 0
3 years ago
Read 2 more answers
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