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e-lub [12.9K]
3 years ago
13

Question 9 of 15 (1 point)

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

4x+10 = x-17

Subtracting 10 from both sides

4x+10-10 = x-17-10\\4x = x-27

Subtracting x from both sides

4x-x = x-x-27\\3x = -27

Dividing both sides by 3

\frac{3x}{3} = \frac{-27}{3}\\ x = -9

<u>Verification:</u>

4(-9)+10 = -9-17\\-36+10=-26\\-26=-26

The number is -9

Keywords: Linear equation, variables

Learn more about linear equation at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

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Which angle is a vertical angle with AngleEFD?
Naddik [55]

Vertically opposite angles are congruent. Thus Angle AFD is vertical to angle AFB

<h3>What are vertical angles?</h3>

Vertical angles are the angles opposite each other when two lines cross.

In other words, vertical angles are a pair of opposite angles formed by intersecting lines.

Vertically opposite angles are congruent.

Therefore, the angle vertically opposite to angle EFD is as follows;

AFB ≅ EFD (vertically opposite angles)

learn more on vertical angles here:brainly.com/question/13284533

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5 0
2 years ago
Select values of a and b for which x=−5 is a solution for the equation shown below.
mixas84 [53]

Answer:

ax+16=b−3x

Step-by-step explanation:

3 0
3 years ago
Jon has 78p. Nat has £3.52. Nat gives Jon some money so that they both have the same amount. How much does Nat give Jon?
ludmilkaskok [199]
Divide 3.52 by 2 and then take away .78 and that should be your answer
6 0
3 years ago
Read 2 more answers
The perimter of a rectangle is 90 centimeters.the length is 27 centimeters what is the width of the rectangle
Sati [7]

Answer:

  18 cm

Step-by-step explanation:

The perimeter of a rectangle is given by the formula ...

   P = 2(L +W)

Fill in the given information and solve for the width.

  90 = 2(27 +W)

  45 = 27 +W . . . . . divide by 2

  18 = W . . . . . . . . . subtract 27

The width of the rectangle is 18 cm.

3 0
3 years ago
The admissions office of a private university released the following data for the preceding academic year: From a pool of 3900 m
Finger [1]

Answer:

a. 0.09 or 9%

b. 0.324 or 32.4%

c. 0.0972 or 9.72%

Step-by-step explanation:

Male applicants = 3900

Female applicants = 3600

Total applicants = 7,500

Proportion of male applicants (m) = 0.52

Proportion of female applicants (f) = 0.48

a. The probability that a random male applicant is accepted and enrolls is given by the probability of a male student being accepted multiplied by the probability of a male student enrolling:

P(a) = 0.30*0.30=0.09=9\%

b. The probability that a random student is accepted is given by the probability of a male applicant being accepted added to the probability of a female applicant being accepted

P(b) = m*0.30+f*0.35\\P(b) = 0.52*0.30+0.48*0.35\\P(b) = 0.324=32.4\%

c. The probability that a random student is accepted and enrolls is given by the probability of a male applicant being accepted and enrolling added to the probability of a female applicant being accepted and enrolling

P(b) = m*0.30*0.30+f*0.35*0.30\\P(b) = 0.52*0.30*0.30+0.48*0.35*0.30\\P(b) = 0.0972=9.72\%

7 0
3 years ago
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