Which statement is correct?
o
The absolute value of -29 is less than 29.
The absolute value of -8 is less than -7.
The absolute value of -34 is greater than 33.
The absolute value of -2 is greater than the absolute value of 5.

Answer:

Step-by-step explanation:

11). 6x + 3y = 9

    3(2x + y) = 9

    2x + y = 3

    y = -2x + 3

    Since variables are of single degree therefore, it's a linear function

12). 3y - 2x = -2x - 12

     3y - 2x + 2x = -2x - 12 + 2x

     3y = -12

      y = -4

     Since variable y is of single degree therefore its a linear function.

13). 11y + 4x = -8 + 11y

     11y + 4x - 11y = -8 + 11y - 11y

     4x = -8

      x = -2

      Linear function.

14). 4x - 3 + 2y = 8x - 9

     4x + 2y - 3 - 4x = 8x - 4x - 9

     2y - 3 = 4x - 9

     2y = 4x - 9 + 3

     2y = 4x - 6    

      y = 2x - 3

      Linear function.

Answer:

x -22

Step-by-step explanation:

Sum = -7            (-22+15 = -7)

Product = -330   (-22*15 = -330)

Factors = -22 , 15

x² - 7x - 330 = x² +15x - 22x - 22 *15

                    = x(x + 15) -22(x + 15)

                   = (x +15)(x -22)

[tex]\frac{x^{2}-7x-330}{x + 15}=\frac{(x+15)(x-22)}{(x+15)}\\\\ =x - 22[/tex]

Answer:

9 mph

Step-by-step explanation:

Speed of current = 6 mph

Distance to travel one way = 22.5 miles

Let speed of the ferry be [tex]x[/tex] mph

Total time taken for round trip is 9 hours

One way the ferry will be going with the current and in the other way the ferry will be going against the current so

[tex]\dfrac{22.5}{x+6}+\dfrac{22.5}{x-6}=9\\\Rightarrow \dfrac{x-6+x+6}{x^2-36}=\dfrac{9}{22.5}\\\Rightarrow \dfrac{2x}{x^2-36}=0.4\\\Rightarrow \dfrac{2x}{x^2-36}-0.4=0\\\Rightarrow 2x-0.4x^2+14.4=0\\\Rightarrow 0.4x^2-2x-14.4=0\\\Rightarrow 4x^2-20x-144=0\\\Rightarrow x=\dfrac{-\left(-20\right)\pm \sqrt{\left(-20\right)^2-4\times 4\left(-144\right)}}{2\times 4}\\\Rightarrow x=9,-4[/tex]

So, the speed of the boat in still water needs to be 9 mph both ways.

Answer:

[tex]Each =\pounds 1121[/tex]

Step-by-step explanation:

See comment for complete question.

Given

[tex]Total = \pounds 8968[/tex]

[tex]Projects = 8[/tex]

Required

Determine the amount allotted to each

From the question, we understand that each project gets each allocation.

So, the amount of each is:

[tex]Each =\frac{Total}{Projects}[/tex]

[tex]Each =\frac{\pounds 8968}{8}[/tex]

[tex]Each =\pounds 1121[/tex]

Each project gets £1121

Answer:

3.9

Step-by-step explanation:

3.98371685

Answer:

37

Step-by-step explanation:

k(x) = 4x2 + 1

[tex] = 4( - 3) {}^{2} + 1 \\ 4(9) + 1 \\ 36 + 1 \\ 37[/tex]

Answer: You didnt tell me how to solve it, but I used subsitution. For ubsitution the answer is, (3,-1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The solution is,  the measure of ∠ZYC is 108 degrees.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Given:

m∠XYZ = 72 degrees

m∠XYZ and m∠ZYC form a linear pair.

Let's find the measure of ∠ZYC.

To find the measure of angle ZYC, apply the Linear Pair of Angles theorem which states that the sum of angles that form a linear pair is 180 degrees.

Hence, we have:

m∠XYZ + m∠ZYC = 180

72 + m∠ZYC = 180

• Subtract 72 from both sides:

72 - 72 + m∠ZYC = 180 - 72

m∠ZYC = 180 - 72

m∠ZYC = 108 degrees.

Therefore, the measure of ∠ZYC is 108 degrees.

ANSWER:

C. 108°

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

Complete question:

If ZXyz and ZZYC form a linear pair and the measure of ZXYZ is 72°, whatis the measure of ZZYC?O A. 28°B. 18°C. 108°D. 72°

Answer:

The first one is 0.6

The second one is -2.8

The third one is -3

Step-by-step explanation:

Have a nice day! :)

Answer:

6x^2-5x+1

Step-by-step explanation:

Use the foil method:

multiply 2x with 3x and -1.

then multiply -1 with 3x and -1

when multiplied, you should have gotten 2x×3x=6x^2, then 2x×-1, then -1×3x=-3x, then you put all of the answers in order from variables with exponents to normal variables to non variables

Answer:

13.7

Step-by-step explanation:

fill the numbers in using pythagorean theory

[tex]a^{2} + b^{2} = c^{2}[/tex]

(the hypotenuse has to be [tex]c^{2}[/tex])

[tex]9.2^{2} + b^{2} = 16.5^{2}[/tex]

[tex]84.64 + b^{2} = 272.25[/tex]

[tex]b^{2} = 187.61[/tex]

(to get [tex]b[/tex] alone you have to find the square root of both sides)

[tex]b = 13.69707[/tex]

round that and you get

[tex]b = 13.7[/tex]!

Answer:

25, 36, 49

Step-by-step explanation:

4 - 1 = 3

9 - 4 = 5

16 - 9 = 7

25 - 16 = 9

36 - 25 = 11

49 - 36 = 13

It goes up by odd numbers

Answer:

2 is the correct answer

hope this will help you

Answer:

I deposit $500 in my bank from my check this week. I have to withdraw $550 from my bank to pay my medical bills. I am short -55/55 dollars so I wait to pay my medical bills.

I owe $60 to my school for damage on a school laptop. I only have $5 so I am 55 dollars short.

I withdraw $2,000 from my bank to deposit $1950 a week later. I want to deposit the same amount of money I put last week. I am short 55 dollars.

Step-by-step explanation:

I put different scenarios because I didn't know if any of them were good enough.

Answer:

46-38-27-15+13+2

=-17

Answer:

x= −4 /3  y+  2/ 3

Step-by-step explanation:

Answer:

108.51

Step-by-step explanation:

Answer:

x= 7

Step-by-step explanation:

Theorem:  The sum of the angles of a triangle is 180

Memorize that theorem

8x - 9 + 63 + 70 = 180

8x + 124 = 180

8x = 56

x= 7

Answer:

50.65 grams

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total amount of salt =  38.1 + 12.55 = 50.65 grams

38.10 +

12.55

50.65

If the perimeter is 3(2v-6)

Than

Pull out like factors : 2v - 6  =   2 • (v - 3)

Final result : 6 • (v - 3)

Given the result your answer would be 6.

Answer:

First write it as 0.03 × $4,000. Then multiply 3 × $4,000 = $12,000. Lastly put the decimal point where it gives the answer two decimal digits: $120.00.

Step-by-step explanation:

Answer:

3% of 4,000 = 120.

Step-by-step explanation:

To find the answer we have to divide 3 by 100, which equals 0.03.  Now multiply 0.03 by 4,000 and we get 120.  Therefore, 120 is our answer.

Answer:

Step-by-step explanation:

sinθ = 3/12 = 0.25

θ = arcsin(0.25) ≈ 14.5°

If person travelled 12 metres on hill and have risen in height by 3 metres then the gradient of this problem is 14.5°.

Gradient is the degree of inclination or the rate of ascent or descent.It is an inclined surface, grade, ramp.

The hill and the road through which person travelled forms a right angled triangle. In a right angled triangle sin a is equal to Perpendicular/Hypotenuse where a is angle opposite to perpendicular.

In this we have to apply the above rule:

sin a=3/12

sin a=1/4

sin a=0.25

a= [tex]sin^{-1}[/tex]0.25

a=14.5

Hence the gradient of the problem is 14.5°.

Learn more about gradient at https://brainly.com/question/23016580

#SPJ2

Answer:

B

Step-by-step explanation:

Pythagorean theorem:

6^2 + (4/2)^2 = x^2

36 + 4 = x^2

40 = x^2

x = [tex]\sqrt{40}[/tex]= [tex]2\sqrt{10}[/tex]

Answer is B

5/6 - 3/8

Rewrite the fractions to have a common denominator:

5/6 x 4 = 20/24

3/8 x 3 = 9/24

Now you have 20/24 - 9/24 = 11/24

The answer is D. 11/24

Answer:

D. 11/24

Step by Step Explanation:

Just use cymath.

Answer:

5,000000

Step-by-step explanation:

so imultiplyied

To find what needs to be added subtract the two numbers:

19/21 - 11/21 = 8/21

You need to add 8/21 to 11/21 to get 19/21

Answer:

10 miles

Step-by-step explanation: