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pickupchik [31]
3 years ago
10

Solve the inequality. 6x + 14 > 20 ???????

Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

x > 1

Step-by-step explanation:

6x + 14 > 20

      -14    -14

6x > 6

/6    /6

x>1

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Try the numbers 22, 23, 24, 25 in the equation 4/3 = 32/d to test whether any of them is a solution. a. 23 is a solution. c. 24
S_A_V [24]

Answer:

c. 24 is a solution

Step-by-step explanation:

Given equation:

\frac{4}{3}=\frac{32}{d}

To test the numbers 22, 23, 24, 25 for the solution.

Solution:

In order to test the given number for the solution, we will plugin each number in the unknown variable d and see if it satisfies the equation.

1) d=22

\frac{4}{3}=\frac{32}{22}

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.

\frac{4}{3}=\frac{32\div 2}{22\div 2}

\frac{4}{3}=\frac{16}{11}

The above statement can never be true and hence 22 is not a solution.

2) d=23

\frac{4}{3}=\frac{32}{23}

The fractions can no further be reduced.

The statement can never be true and hence 23 is not a solution.

3) d=24

\frac{4}{3}=\frac{32}{24}

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.

\frac{4}{3}=\frac{32\div 8}{24\div 8}

\frac{4}{3}=\frac{4}{3}

The above statement is always true and hence 24 is a solution.

4) d=25

\frac{4}{3}=\frac{32}{25}

The fractions can no further be reduced.

The statement can never be true and hence 25 is not a solution.

4 0
3 years ago
What does not contain an irrational number?
Aleksandr-060686 [28]

Answer:

i think it's the first option.

6 0
3 years ago
Read 2 more answers
Directions: Find the volume of each figure. Round to the nearest tenth if necessary.
balu736 [363]

Answer:

Step-by-step explanation:

square-based pyramid:

volume V = (⅓)b²h

    = (⅓)7²·16  

    ≅ 261.3 ft³

:::::

Can't help with question 3. I haven't learned triangle-based pyramids.

:::::

cone:

volume V = ⅓πr²h

              = ⅓π17²·20

              = 6052.8 yd³

:::::

can't help with question 7. Never did this kind of pyramid.

3 0
3 years ago
What is the solution of 5 x + 1] + 6 = 21?
Mice21 [21]

Answer:

x = -4 or x = 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
L 5.2.3 Quiz: Two-Variable Systems: Substitution
Misha Larkins [42]

Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

y = 10x-9\\y = x + 18

For substitution method we substitute the value of x or y from one equation to other.

Let:

y = 10x-9--eq(1)\\y = x + 18--eq(2)

Putting value of y from equation 2 into equation 1

y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

y=x+18\\x=y-18

Now, putting value of x in equation 1

y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)

6 0
2 years ago
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