1)Put the sign < (less than ) or the > (greater than ) sign between the integers below:(5 marks)

-5 ______ +4 b) 0 _____-3

c) -13 _____ -12 d) -177 _____ +77 e) -5 ______5

2) Write in order from least to greatest : ( 2marks)
-55, -983, -118, -34, 0

3) Write in order from greatest to least.( 2 marks)
1, -11 ,10, -9, 17, 0

4) Draw number lines to work out the answers for : (8 marks)
-7 + 10 b) -8 -1 c) -5 + 5 d) -2+7 -6+5 - 10

5) Work out without using number lines: (8 marks)

-133 + 132

-250 + 360

-44 - 33 - 15

-30 + 12 -12 + 20 - 16 + 11 - 45

Answer:

(-2,10)

Step-by-step explanation:

Answer: 235.5 cm³

Step-by-step explanation: Volume of a cylinder is the area of the circular base times the height of the cylinder:

V = π r² h

Given r = 5 cm and h = 3 cm:

V = (3.14) (5 cm)² (3 cm)

V = 235.5 cm³

Answer:

oh wait i got it! those are oppisite from eachother so theyre angle is the same. the answer would be 59°

Answer:

b=59º

Step-by-step explanation:

Vertical angle theorem states that if angles are vertical, they are congruent.

Answer:

x=-3, and y=2

Step-by-step explanation:

Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:

x+5=-2x-4

3x+5=-4

3x=-9

x=-3

Plugging in x=-3 into one of the original equations:

y = x + 5

y = -3 + 5

y = 2

Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.

Answer:

2%

Step-by-step explanation:

This grid is a 10 by 10, meaning there are 100 total squares. If only 2 of them are shaded, our fraction would be 2/100, which is equivalent to 2%

Answer:

134 is your answer hope it helps

Step-by-step explanation:

Answer:

26 is 7.05% or 7.04% of 369.

Step-by-step explanation:

Now 7.04% of 369 is actually 25.9776.

and 7.04% is 26.01452.

But if you round both 25.9776 and 26.01452 you get 26

So, technically you are correct.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

a,d,e,f

Step-by-step explanation:

Do you have the options for this?

Answer:

I would say A

Step-by-step explanation:

The graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.

To find the x-intercepts, we can set y=0 and solve for x:

0 = -x² - 12x - 35

Using the quadratic formula, we get:

x=-b±√b²-4ac/2a

x=12±√144-140/2(-1)

x=12±√144-140/(-2)

x=12±2/(-2)

The x-intercepts are approximately x=-7 and x=-5

To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:

x = -b / 2a = -(-12) / 2(-1) = 6

y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107

So the vertex is at (6, -107).

Hence, the graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

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Answer:  12 different outfits

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Explanation:

We simply multiply the values given to us. Think of a table that has 3 rows and 4 columns. The rows represent the different colors of pants Terry can wear. Each column is a different color shirt. Since we have 3 rows and 4 columns, we have 3*4 = 12 cells inside the table. Each cell represents a combination of pants and shirt colors. This means there are 12 different outfits possible.

Answer:

12

Step-by-step explanation:

if he has 3 pairs of pants and doesn't care what colors he wears then each shirt can go with the pants once and since there a 4 shirts and three pants then 3 times 4 =12

Answer:

x = 30

ABC = 90

ACB = 30

Step-by-step explanation:

We know that if we add the 3 angles of a triangle together, it will come out to be 180 degrees, so..

60 + x + 3x = 180       subtract 60 from both sides and simplify

4x = 120          divide both sides by 4

x = 30

ABC = 3x

ABC = 3(30)

ABC = 90

Answer:

4

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Since 1,000 is 100% of the attendance, 500 is half of 1,000 meaning it's 50%.

I think the student added 50% and 100%, they could have also divided 1,500 by 10.

The actual percent increase would be equal to 50 percent.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means). Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]

We have been given that the Average attendance at a school’s basketball games increased from 1,000 to 1,500 last year. a student said that represented a 150% increase.

Since 1,000 is 100% of the attendance, 500 is half of 1,000 which means that it's 50%.

The student added 50% and 100%, they could have also divided;

1,500 by 10

Therefore, the actual percent increase would be equal to 50 percent.

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Answer:

$19,110

Step-by-step explanation:

18,200 x 1.05 = 19,110

SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150

Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side,  so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.

Answer:

16

Step-by-step explanation:

because it's g of 7 use the third equation.

(7+1)(7-5) = 8x2 = 16

Answer:

All are rational numbers

Step-by-step explanation:

irrational numbers can't be expressed as a fraction.

96 is an irrational numbers

Answer:

85

Step-by-step explanation:

Scott took 7* math tests in one semester. His scores were 89 , 73 , 84 , 91 , 87 , 77 , 94.

Find the mean. To solve for the mean, add all the scores together, and divide by the amount of tests he took:

(89 + 73 + 84 + 91 + 87 + 77 + 94)/7

(595)/7 = 85

Scott's mean test score is 85.

~

Answer:

85

Step-by-step explanation:

1. Add up all the numbers

=595

2. Dvivde it by how many numbers their are.

=7

3. Divide

595/7

=85

Answer:

G 1.0=10^-9, exponents are usually used with a ^ yw

Step-by-step explanation:

Answer:

1. x = 36 equation is x + 2x + 9 = 117, then solve for x

2. x = 50 equation is x + x + 12 = 112, then solve for x

Step-by-step explanation:

Answer:

-2

15 - (-2) = 17

a = -2

Answer:

A= -2

Step-by-step explanation:

15-a=17

+a +a

15=17+a

-17 -17

-2=a

Answer:

between 200 750 is the answer

Answer:

T = \cos^{-1}(0.890172999145)\approx 27.105\approx 27^{\circ}

T=cos  

−1

(0.890172999145)≈27.105≈27  

∘

Step-by-step explanation:

Answer:

A. 1/16

Step-by-step explanation:

[tex] {2}^{ - 4} = \frac{1}{ {2}^{4} } = \frac{1}{16} \\ [/tex]