All categories

3 years ago

Which satisfies the given inequality 6x < 24 a. 10 b. 8 c. 6 d. 2

Mathematics

1 answer:

BartSMP [9]3 years ago

5 0

Answer:

Step-by-step explanation:

just look at the image.

first in this you need to get rid of the 6 by the x, since its 6 times x you need to divide it by 6 to remain with x, you must do this on both sides to make it fair. you will remain with x < 4. 2 would then be the only answer to make it true.

You might be interested in

Joe gave 1⁄4 of his total candies to his classmates. Then he gave 4/6 of what he had left to his brother when he went home. He t

lozanna [386]

Answer:

112 candies

Step-by-step explanation:

Start from the end.

Joe gave 25% of the remaining candies to his sister and has 21 candies left. Then

$21 \ candies - 75\%\\ \\x \ candies - 25\%$

Write a proportion:

$\dfrac{21}{x}=\dfrac{75}{25}\\ \\75x=21\cdot 25\\ \\x=\dfrac{21}{3}=7$

Joe gave 7 candies to his sister, so before this he had 21 + 7 = 28 candies.

He gave 4/6 of what he had left to his brother when he went home, so 2/6 of all his candies left ot him. Hence,

$28\ candies - \dfrac{2}{6}\\ \\x\ candies - \dfrac{4}{6}$

Write a proportion:

$\dfrac{28}{x}=\dfrac{\frac{2}{6}}{\frac{4}{6}}\\ \\\dfrac{28}{x}=\dfrac{1}{2}\\ \\x=28\cdot 2=56$

Joe gave 56 candies to his brother, so Joe had 28 + 56 = 84 candies when he went home.

Joe gave 1/4 of his total candies to his classmates, so 3/4 of his candies left to him. So,

$x\ candies - \dfrac{1}{4}\\ \\84\ candies - \dfrac{3}{4}$

Write a proportion:

$\dfrac{x}{84}=\dfrac{\frac{1}{4}}{\frac{3}{4}}\\ \\\dfrac{x}{84}=\dfrac{1}{3}\\ \\3x=84\\ \\x=28$

Therefore, initially, Joe had 28 + 84 = 112 candies.

3 0

4 years ago

In c it says shaded it got cut if indeed help please

Nookie1986 [14]

Answer:

d.3/8

a.1/9

b.2/9

c.4/9

d.2/3

e.1

good luck

Step-by-step explanation:

4 0

3 years ago

( − 9 , 7 ),(−6,−3)

lina2011 [118]

Answer: If you wanting to find the slope, the answer would be m = -10/3

Step-by-step explanation: Use the slope formula to find the slope m.

Hope this helps you out! ☺

3 0

4 years ago

Determine the surface area of a rectangular prism with the following dimensions:

atroni [7]

Answer:

b. 106 sq.cm

Step-by-step explanation:

A=L×W

A1= 2(5×8) = 2(40) = 80

A2= 2(1×8) = 2(8) = 16

A3= 2(5×1) = 2(5) = 10

Total area = 80 + 16 +10 = 106 sq. cm

6 0

3 years ago

If f(x) = 4x - 20, what is f(4)? O A. -4 оо O B. -12 O c. 4 O D. 16

4vir4ik [10]

Answer:

A. - 4

Step-by-step explanation:

f(4) = 4(4) - 20 = 16 - 20 = - 4

7 0

4 years ago

Read 2 more answers