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Anarel [89]
3 years ago
8

The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds wi

ll it take the Math clubs car to make it around the track
Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Answer: it will take 7 seconds

Step-by-step explanation: 9 x 7 = 63

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dexar [7]

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Yes it is

Step-by-step explanation:

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2 years ago
The equation of the trend line is y = -0.36x + 12.6.
inysia [295]

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9.72°F

Step-by-step explanation:

I think that's right :)

4 0
3 years ago
A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum
suter [353]

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

6 0
3 years ago
Elimination using addition and subtraction <br> -3x - y = 24 ; 3x - 2y = 3
lozanna [386]

Answer:

x=5

y=6

Step-by-step explanation:

this may be wrong

5 0
3 years ago
Read 2 more answers
Hey can you please help me posted picture of question
Debora [2.8K]
We can use quadratic formula to determine the roots of the given quadratic equation.

The quadratic formula is:

x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a}

b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15

Using the values, we get:
x= \frac{11+- \sqrt{121-4(2)(15)} }{2(2)} \\  \\ &#10;x= \frac{11+-1}{4} \\  \\ &#10;x=3, x= 2.5

So, the correct answer to this question are option B and D
4 0
4 years ago
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