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3 years ago

For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?

Mathematics

2 answers:

elixir [45]3 years ago

8 0

Answer:

For $x=2$

Step-by-step explanation:

This problem reduces to solving the equation

$4(5x-8)=2(4-x)+4$

we expand both sides

$20x-32=8-2x+4$

rearrange and solve for x:

$22x=8+4+32$

$22x=44$

$\boxed{x=2}$

which is our answer.

bearhunter [10]3 years ago

7 0

Answer:

what is the answer. can you give me an equation? That might help me be able to solve the problem. When I tried to do it, i got 18/11=x

Step-by-step explanation:

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En el pequeño frasco se colocaron 7 galletas para regalar si ornearon 56 ¿cuantos frascos. regalaron?

Solnce55 [7]

Answer:

1 frasco

Step-by-step explanation:

En el pequeño frasco se colocaron 7 galletas para regalar si ornearon 56 ¿cuantos frascos. regalaron?

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3 years ago

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3 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago

HELP! ! easy work for a lot points! please help me!

kiruha [24]

Answer:

Provide a question pls :)

Step-by-step explanation:

Pls mark brainliest lol

6 0

3 years ago

The sum of 3 numbers is 131. the second of three numbers is seven more than twice the first. the third number is 12 less than th

arsen [322]

A+b+c = 131

b = 7 + 2a and c = a - 12
so a + 7+2a + a-12 = 131
then 4a -5 = 131
then 4a = 136
and a = 34....so b= 75 and c = 22....check 34+75+22=131√

6 0

3 years ago