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larisa [96]
3 years ago
10

Eight less than four times a number is less than 56. What are the possible values of that number?

Mathematics
2 answers:
Margaret [11]3 years ago
5 0

Answer:

All the numbers which are lesser than 16 satisfies this condition.

Step-by-step explanation:

Let the number be x

We have 8 less than four times a number is less than 56

That is

           4x - 8 < 56

               4x < 64

                  x < 16

So all the numbers which are lesser than 16 satisfies this condition.

Fudgin [204]3 years ago
3 0
4x - 8 < 56
4x < 56 + 8
4x < 64
x < 64/4
x < 16 <===
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Which of the binomials below is a factor of this trinomial x^2+4x-60
trasher [3.6K]

Suppose x-6 is listed as a possible answer. That is zero if x = 6. So put x=6 into the original x^2 + 4x - 60 to get 6^2 + 4*6 - 60 = 36 + 24 -60 = 0. hence x-6 is a factor.

Answer (x-6)

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6 0
3 years ago
A spherical boulder is 14 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for pi.
Licemer1 [7]

To find volume, we will use the following equation: V=4/3piR^3

The correct answer should be 1436.76

4 0
3 years ago
Lydia drives from city a to city b to transport goods. her return speed is 3 times her departure speed and she takes 40 minutes
gizmo_the_mogwai [7]

Answer:

1 hour

Step-by-step explanation:

Hello, let's say that her departure trip takes t in minutes, as her return speed is 3 times her departure speed, she took t/3 for the return and we know that this 40 minutes less, so we can write.

t/3=t-40

We can multiply by 3

t = 3t -40*3 = 3t - 120

This is equivalent to

3t -120 = t

We subtract t

2t-120 = 0

2t = 120

We divide by 2

t = 120/2 = 60

So this is 60 minutes = 1 hour.

Thank you.

4 0
3 years ago
PLEASE HELP! The table shows the number of cans of soup shipped in different numbers of boxes.
mel-nik [20]
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5 0
3 years ago
Read 2 more answers
A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet f
Pie

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

6 0
2 years ago
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