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aleksandr82 [10.1K]
2 years ago
12

Which statement is correct?

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
7 0

Answer:

We can conclude that only option B is correct.

Step-by-step explanation:

A. The equation 3(3x - 2) - 4 = 5x has a solution.

Solving it we get,

3(3x - 2) - 4 = 5x

⇒ 9x - 6 - 4 = 5x

⇒ 4x = 10

⇒ x = 2.5

B. The equation 4(2x - 3) - 5 = 4x has exactly one solution.

Solving it we get,

4(2x - 3) - 5 = 4x

⇒ 8x - 12 - 5 = 4x

⇒ 4x = 17

⇒ x = 4.25

C. The equation 5(3x - 2) - 2 = 3x also has exactly one solution.

Solving it we get,

5(3x - 2) - 2 = 3x

⇒ 15x - 10 - 2 = 3x

⇒ 12x = 12

⇒ x = 1

D. The equation 6(2x - 3) - 3 = 2x also has exactly one solution.

Solving it we get,

6(2x - 3) - 3 = 2x

⇒ 12x - 18 - 3 = 2x

⇒ 10x = 21

⇒ x = 2.1

Therefore, we can conclude that only option B is correct. (Answer)

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I’m confused on what to do next please help
Mekhanik [1.2K]

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

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2 years ago
At the school cafeteria, each student who ordered lunch gets 6 chicken nuggets. The cafeteria staff prepares enough for 300 kids
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1800.... 300 students x 6 nuggets per student= 1800 total :)
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3 years ago
(- 5x + 3y) (2x – 12y + 1)<br> Multiply
Sonbull [250]

The answer for this problem i −10x2+66xy−36y2−5x+3y

Let's solve it by step by step.

(−5x+3y)(2x−12y+1)

=(−5x+3y)(2x+−12y+1)

=(−5x)(2x)+(−5x)(−12y)+(−5x)(1)+(3y)(2x)+(3y)(−12y)+(3y)(1)

=−10x2+60xy−5x+6xy−36y2+3y

So, -10x2+66xy-36y2-5x+3y

If this didn't help you, you can also use blocks to help!

©HWsolver in brainly.com

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3 years ago
A company makes uniforms for a fast food restaurant. For every 8 yards of blue fabric, they use 13 yards of white fabric.
zimovet [89]
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8 0
3 years ago
I know one of the answers is 25, please help me find the other!
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