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shtirl [24]
3 years ago
7

Solve for x. Show each step of the solution 4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24)​

Mathematics
2 answers:
Alik [6]3 years ago
7 0

Answer:

x = -10

Step-by-step explanation:

4.5(8-x) + 36 = 102 - 2.5(3x+24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

72 + 3x = 42

3x = -30

x = -10

PSYCHO15rus [73]3 years ago
3 0

Answer:

X=-10

Step-by-step explanation:

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In rhombus ABCD, the diagonals AC and BDintersect at E. If AE=5 and BE=12, what is thelength of AB?
hram777 [196]

Diagonals that bisect each other are perpendicular and form a right angle.

AEB is a right triangle.

We can apply the Pythagorean theorem:

c^2 = a^2+b^2

Where c is the hypotenuse (longest side) and a and b the other 2 legs.

Replacing:

AB^2 = AE^2+BE^2

AB^2 = 5^2+12^2

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1 year ago
I need help on a mathematics question. I need an explanation.
romanna [79]
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4 0
4 years ago
A researcher wants to test to see if husbands are significantly older than their wives. To do this, he collects the ages of husb
OLga [1]

Complete Question

The complete is shown on the first uploaded image

Answer:

The correct option are option 2 and option 4

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 12  

    The test statistics is  t \approx 1.434

    The level of significance is  \alpha = 0.05

    The  rejection region is    t>1.796

   The null hypothesis H_o: \mu_d=0

    The alternative hypothesis is  H_a : \mu_d >0

 From the given values we see that t <  1.796(i.e   1.434 < 1.796 ) which implies that t is not within the rejection region

  Hence we fail to reject the null hypothesis

The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.

4 0
3 years ago
M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N​
Gelneren [198K]

Answer:

6

Step-by-step explanation:

M=2*2*3*5*5=300

N=2*2*2*3*3*7=504

Common factors between the two numbers are 2 and 3

The GCF(greatest common factor):

2×3 = 6

To see if it is true:

300/6 = 50

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6 is the answer to the question.

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3 years ago
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Answer:

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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