Select the symbol that properly compares each pair of numbers:

a. -|-15| ___ -(-15)

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b. |-18| ___ -18

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c. -|-3| ___ -|3|

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d. -|-6| ___ |-6|

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[tex] = \frac{ - 1}{ \: \: 2} x + 2 = x + 7[/tex]

[tex] = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7[/tex]

[tex] = \frac{ - 3}{ \: \: \: 2}x + 2 = 7[/tex]

[tex] = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 [/tex]

[tex] = \frac{ - 3}{ \: \: \: 2} x = 5[/tex]

[tex] x = 5 \: \div \frac{ - 3}{ \: \: \: 2} [/tex]

[tex]x = 5 \times \frac{ \: \: \: 2}{ - 3} [/tex]

[tex]x = \frac{ - 10}{ \: \: \: 3} [/tex]

[tex]∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7

[/tex]

Answer:

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

Step-by-step explanation:

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.

Answer:

-69

Step-by-step explanation:

The numbers are decreasing by -2.

Which means -71+[-2]=-69

Answer:

8 cups

Step-by-step explanation:

If it takes 3 blue paint for each purple, the ratio is 3:1

3:1=24:x

x=8

Answer:<EBA=103

Step-by-step explanation:

72+31=103

Answer:

[tex]\boxed {\tt C. \ m \angle EBA=103}[/tex]

Step-by-step explanation:

∠EBA is made up of 2 angles: ∠ABC and ∠EBC

If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.

m∠EBA= m∠ABC+m∠EBC

The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)

m∠EBA= 72 + 31

Add.

m∠EBA=103

The measure of angle EBA is 103 and choice C is correct.

Answer:

Simplify the expression.

Exact Form:

41 /12

Decimal Form:

3.41 6

Mixed Number Form:

3  5 /12

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

Answer:

x^2 + 2x + 1

Step-by-step explanation:

Divide the original equation by 3x-1

Answer:

$64.20

Step-by-step explanation:

%7 of a dollar is .07

.07 × 60 = 4.20

4.20 + 60 = 64.20

Answer:

Measure all the sheets together and divide by 200

Step-by-step explanation:

An average mean is the sum of something divided by how many things there are.  In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

Step-by-step explanation:

The angle between the slope of the line parallel to the line whose equation is

[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]

The slope intercept form is represented as follows;

[tex]y = mx + b[/tex]

where

m = slope

b = y-intercept

For a line perpendicular to another line the product of there slope is negative 1. Therefore,

m₁m₂ = -1

m₁ 1/6 = -1

m₁ = - 1/ 5

The line's angle of slope is 6

Additionally, the slope product of two lines that are perpendicular to one another is -1.

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Answer:

No

Step-by-step explanation:

If you go by PEMDAS then you would do whatever is in the parenthesis first, which in this case would be 12 + 6. And then you would divide, so 12 + 6 = 18/2 = 9. In the other equation you would do division first, so that would be 6/2 which equals 3 and then you would add that to 12 which equals 15.

Answer:

No, because it has parentheses. You have to do the parentheses first (cause of order of operations) and the divide, (or based on whatever your step is from order of operations) which your going to get a diff answer.

Answer:

[tex]3\frac{12}{13}[/tex]

Step-by-step explanation:

51 / 13 = 3.9231 = 3

51 - (13 x 3) = 12

[tex]3\frac{12}{13}[/tex]

Answer:

3 12/13

Step-by-step explanation:

51/13

13 goes into 51 3 times

13*3 =39

51-39 =12

The 12 goes over the denominator

3 12/13

Answer:

15 hats

Step-by-step explanation:

First off, we need to divide 34.98 by 2 because it is 50 percent off.

We get 17.49 dollars.

262.35/ 17.49 because we need to find out how many hats Nate bought.

We get 15 hats

Answer:

x = 6

Step-by-step explanation:

Let's solve y for x + 2y = 8.

x + 2y = 8

2y = -x + 8

y = [tex]-\frac{1}{2}[/tex]x + 4.

Let's solve y for x - y = 5.

x - y = 5

y = x - 5

Since both equations have been solved for y, we can combine them together into one!

x - 5 = [tex]-\frac{1}{2}[/tex]x + 4

x [tex]+ \frac{1}{2}[/tex]x = 4 + 5

1.5x = 9

x = 6

Hope this helped! If not, please let me know!

Answer:

Hope this solution helps you. Sorry for the handwriting .

Answer: 24 pages

Step-by-step explanation:

10 times 24 equals 240

Answer:

Janet has to read 24 pages.

Hallie has to read 240 pages.

Step-by-step explanation:

If Janet has to read n pages, then Hallie has to read 10×n.

Together they have to read 11 × n = 264 pages, so: n=264÷11=24.

Hope this helps

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

Maggie is 13

Step-by-step explanation:

Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by  4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.

Math Equation Explanation:

13*4 = 52                           (Maggies Age) x 4

52-11= 41                            The question stated that Maggie's brother was 11                                             -------------------------------------years younger than her age times 4.

41 + 13 =54                          The sum of both their ages.

The statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

A line segment, in geometry, is defined as a line or part of a line having two endpoints.

A diagram showing a line segment with two distinct endpoints have been shown in the attachment below.

A line segment can also contain points between the two endpoints on the line.

Therefore, the statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

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Answer:

C is the answer! You're welcome

Answer:

C is your answer

Step-by-step explanation:

8 x 4 = 32 sq ft

Hope this helps!  :)

Answer:

a) 4.47

b) 4.47 g

Step-by-step explanation:

The masses of the birds are given as;

The mass of the robin =76.58 grams.

The mass of the blue jay = 81.05 grams.

Difference in the masses of the birds is : 81.05 - 76.58 =4.47

Difference in masses of the two birds is grams is : 81.05g - 76.58g =4.47g

Answer:

The correct choices would be A, C, D & F. Correct me if I'm wrong :)

I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.

Answer:

45

Step-by-step explanation:

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

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Answer: I think you answer is -61 if not sorry

Step-by-step explanation: