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lakkis [162]
3 years ago
6

A rectangular solid with a square base has a surface area of 37.5 square centimeters. (Let x represent the length of the sides o

f the square base and let y represent the height.
Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0
H = y
x = L
volume:
V = x²y
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615.44 to the nearest hundredth
Leya [2.2K]
When rounding, look to the next place to the right of what you are rounding to... for example if you are rounding to the nearest hundredth, look to the thousandths place to see if the hundredths place rounds up or down. Since your number, 615.44 stops on the hundredths place, the thousandths place is automatically zero, so your number stays the same.

615.44
3 0
3 years ago
Solve the system of equations<br>13х – 6у = 22<br><br> x=y+6​
Mrrafil [7]

Answer:

x = -2, y = -8

Step-by-step explanation:

13(y + 6) - 6y = 22

=> 13y + 78 - 6y = 22

=> 7y = -56

=> y = -8

x = -8 + 6

=> x = -2

4 0
3 years ago
Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).
Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

y=ab^x

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

8=ab^4       ...(1)

32=ab^6       ...(2)

Divide equation (2) by equation (1).

\dfrac{32}{8}=\dfrac{ab^6}{ab^4}

4=b^2

Taking square root on both sides.

2=b

Put b=2 in (1).

8=a(2)^4

8=16a

\dfrac{8}{16}=a

0.5=a

Substitute a=0.5 and b=2 in the given general exponential equation.

y=0.5(2)^x

Therefore, the correct option is C.

8 0
3 years ago
Jane has a circular garden with a diameter of 16 feet if one bag of fertilizer covers 30 ft.² how many bags will she need to cov
AleksAgata [21]

Answer:

She need 7 bags to cover the garden

Step-by-step explanation:

Diameter of circular garden = 16 feet

Radius of circular garden =\frac{16}{2} = 8 feet

Area of circular garden =\pi r^2 = \frac{22}{7} \times 8^2 =200.96ft^2

30 sq.feet covered by no. of bags = 1

200.96 sq.feet covered by no. of bags = \frac{200.96}{30}=6.69

Hence She need 7 bags to cover the garden

5 0
3 years ago
Help me out with number 8!!! I’m confused and I need this by tomorrow HELP PLEASE
ivann1987 [24]
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
































3 0
3 years ago
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