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3 years ago

Solve for x: 9(x+1) = 25+X

Mathematics

2 answers:

Helga [31]3 years ago

6 0

Answer:

$x = 2$

Step-by-step explanation:

Step 1: Distribute

$9(x + 1) = 25 + x$

$(9 * x) + (9 * 1) = 25 + x$

$9x + 9 = 25 + x$

Step 2: Subtract x from both sides

$9x + 9 - x = 25 + x - x$

$8x + 9 = 25$

Step 3: Subtract 9 from both sides

$8x + 9 - 9 = 25 - 9$

$8x = 16$

Step 4: Divide both sides by 8

$8x / 8 = 16 / 8$

$x = 2$

Answer: $x = 2$

Inessa [10]3 years ago

5 0

Answer:

$x=2$

Step-by-step explanation:

$9(x+1) = 25+x$

Distribute the 9:

$9x+9=25+x$

Subtract x on both sides:

$8x+9=25$

Subtract 9 on both sides:

$8x=16$

Divide both sides by 8:

$x=2$

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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point

taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2 (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

$6-m=\frac{11}{2}$

$-m=\frac{11}{2}-6$

$-m=\frac{11-12}{2}$

$-m=\frac{-1}{2}$

$m=\frac{1}{2}$

Substitute the value $m=\frac{1}{2}$ in y=mx+4 we get

$y=\frac{1}{2}x+4$

At x=-2 $y=\frac{1}{2}(-2)+4$

$=-1+4$

$=3$

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0

3 years ago

Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 of that height. Which of these statements

marta [7]

The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.

We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.

8×1/4 = 2 cm.

You can still find its volume by using the formula 1/3πr^2.

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2 years ago

Read 2 more answers

For 100 births, P(exactly girls) and P( or more girls). Is girls in 100 births a significantly high number of girls? Which

madreJ [45]

Answer;

The relevant probability is 0.136 so the value of 56 girls in 100 births is not a significantly high number of girls because the relevant probability is greater than 0.05

Step-by-step explanation:

The complete question is as follows;

For 100 births, P(exactly 56 girls = 0.0390 and P 56 or more girls = 0.136. Is 56 girls in 100 births a significantly high number of girls? Which probability is relevant to answering that question? Consider a number of girls to be significantly high if the appropriate probability is 0.05 or less V so 56 girls in 100 birthsa significantly high number of girls because the relevant probability is The relevant probability is 0.05

Solution is as follows;

Here. we want to know which of the probabilities is relevant to answering the question and also if 56 out of a total of 100 is sufficient enough to provide answer to the question.

Now, to answer this question, it would be best to reach a conclusion or let’s say draw a conclusion from the given information.

The relevant probability is 0.136 so the value of 56 girls in 100 births is not a significantly high number of girls because the relevant probability is greater than 0.05

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