4 - (-3) simplify the expression

Answer:

Step-by-step explanation:

1) Kate:

Number tickets  = x

Cost of 10 tickets = 10x

Parking fee = $ 5

Total money spend = $ 35

10x + 5 = 35

2)Ram:

Number of pen given to a friend =x

Number of pen given to 5 friends = 5*x = 5x

Number of pens left with him = 10

Total pens he had before giving to his friends = 35

5x + 10 = 35

Answer:

Left. Right

1. - c

2. - b

3 - a

Answer:

y=-8x+13

Step-by-step explanation:

you flip the m value

then you plug in the point (1,-5) to find b (y-intercept)

then you get 13.

The equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

Slope of line is defined as the angle of line. It is denoted by m.

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Let the equation of line : y = mx + c

Given that, the line passing through the point (1,−5) and

The line perpendicular to y = 1/8x +2

To determine the slope of the perpendicular line,

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line that is perpendicular to the given line is

m×1/8 = -1

m = -8

Substitute the value of slope m in the first equation,

y = -8x + c

To determine  the equation of the line, substitute the found slope (-8) and the point (1,−5) into the point-slope form of a linear equation:

5 = -8(1) + c

-5 = -8 + c

c = -5 + 8

c = 3

So, the required equation of line : y = -8x + 3

Hence, the equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

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Answer:

Its B

Step-by-step explanation:

the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4

Answer:

2/3x−6

Step-by-step explanation:

Answer:

r = 9 m

Step-by-step explanation:

The volume of a sphere is defined as:

[tex]V = \frac43 \pi r^3\\[/tex]

if this is equal to 972π, then r³ = 972 * 3/4

so r = ∛729 = 9

Answer:

The radius of sphere is 9m.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

Let V = 972π,

[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]972 = \frac{4}{3} {r}^{3} [/tex]

[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]

[tex] {r}^{3} = 729[/tex]

[tex]r = \sqrt[3]{729} [/tex]

[tex]r = 9metres[/tex]

Answer:

x=-2

Step-by-step explanation:

3( x-4)= -18

Divide each side by 3

3( x-4)/3= -18/3

x-4= -6

Add 4 to each side

x-4+4 = -6+4

x = -2

Answer:

x+ -2

Step-by-step explanation:

-18/3= -6  -6+4=-2

Answer: 0.83

Step-by-step explanation:

The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.

[tex]\frac{5}{6} =0.83[/tex]

Answer:

0.83 with the 3 as the repeating number (3 with the line over it)

Step-by-step explanation:

5 divided by 6

Answer:

50%

Step-by-step explanation:

Answer:

251.2 m

Step-by-step explanation:

Circumference = 2 x π x r

C = 2 x 3.14 x 40

C = 251.2

Circumference of a circle

The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.

We take radius of the circle and pi to calculate the circumference of circle.

The formula of circumference of circle is 2πr.

R is radius of the circle and π is mathemetical constant which value approx 3.14

In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.

So, the circumference = 2πr

                                     = 2 × 3.14 × 40 = 251.2m

Rider has to travel 251.2m to cover one complete rotation.

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Answer:

Yes

because they both face the same direction

and they triangle in shape

Answer:

5.38%

966/52 = 0.05383022774

Step-by-step explanation:

5.38 can also be 5.4%

As proved.

We can write this as 52>52.2

To find  52>52.49 we only have to divide it by the larger number.

52.49/966 = 0.05433747412

or multiply to check.

966 x 0.054 = 52.164   sales tax  =  5.4% paid

966 x 0.053835 = 52.00461 = 5.38 % paid  

Both these amounts or in-between would be sales tax percentage

But exact would be 5.38%

Answer:

5.383%

Step-by-step explanation:

To find what percent a part is of a number, divide the part by the number and multiply by 100%.

part = 52

number = 966

percent = 52/966 * 100% = 5.383%

Answer:

$252

Step-by-step explanation:

The price of the computer is $400

On saturday it is on sale for 30% off

30% of 400 or .3 x 400 = 120

400 - 120 = 280

Then, if she gets there before 9am there is an addition 10% off of the sale price (280)

So, 10% of 280 or .1 x 280 = 28

280 - 28 = 252

Hope this helps!

Answer:

Step-by-step explanation:

a=-2

r=10/-2=-5

[tex]s_{14}=a\frac{r^n-1}{r-1} \\=-2\frac{(-5)^{14}-1}{-5-1} \\ =\frac{1}{3}(5^{14}-1)\\=\frac{6103515625-1}{3}\\=\frac{6103515624}{3}\\=2034505208[/tex]

Answer:

Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.

Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.

A quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.

Suppose a circle where Nathan is facing West.

Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.

So, the direction in which he is facing is South.

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AnswerD. 64

Step-by-step explanation:

Answer:

D.) 64

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2:9

9*4 = 36

2*4 = 8

The lateral surface area of the rectangular prism is: D. 240 cm²

The lateral surface area of rectangular prism =  2(l + w)h.

Given the following:

Plug in the values into the formula

Lateral surface area of the rectangular prism =  2(9 + 6)8

Lateral surface area of the rectangular prism =  240 cm²

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Answer:

10( 3/4x  * 9/500y ) = 10  

Step-by-step explanation:

We know 18% can also be found

when we take the x amount 75 x 0.18 = 13.50

We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.

But for x = 750 x 9/500 = 10

We find  13.50 = 10

x= 1.5

18% coincidentally is 13.5 and 13.5 x 1.5 = 18

So we could redesign and use 18 in the equation

An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

Given that, Janella has her hair styled and wants to tip her stylist 18%.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the tip be y and total bill be y.

So, tip y = 18% of total bill x

⇒ y = 18% of x

⇒ y = 18/100 × x

⇒ y = 0.18x

Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

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Answer:

5,532.

Step-by-step explanation:

Answer:

Not a solution.

Step-by-step explanation:

2=-3/4(3)+3

2=-9/4+3

2 does not equal 3/4.

Therefore, it is not a solution.

Answer:

False

Step-by-step explanation:

Just plug it in.

[tex]2 = -\frac{3}{4}*3 + 3[/tex]

2 = -2.25 + 3

2 ≠ 0.75

It is not equal so it's false.

Answer:

4 large and 5 small

Step-by-step explanation:

$1.50×4= $6.00

$0.90×5= $4.50

$6.00+$4.50= $10.50

Answer:

3 lunches

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

36.4 + 3.6 = 40

45.5+4.5 = 50

Answer:

Definitely A

Step-by-step explanation:

When multiplying you add exponents.

[tex]x^{4} (3x^{2} -2) = 3x^{7} -2x^{4} \\FOIL (3x^{7} -2x^{4})(4x^{2} +5x) = 12x^{9} +15x^{8} -8x^{6} -10x^{5}[/tex]

Answer:

A)

Step-by-step explanation:

1000% sure. Use foil method and add exponents together... Also on edge.

Answer:

To me the triangles in #6 appear to be the same shape as the first triangle in #7(EFG) with different lengths on the sides. But not much else is the same. I mean they are all triangles but the shape of the second triangle in #7(XYZ) isn't the same as either of the triangles in #6.

I hope that made sense to you!

Hope this helped! Have a great day! :)

Answer:

3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl

Step-by-step explanation:

the answer is in the top

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

You're welcome and don't forget to click THANKS

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5