The original price of an
SUV is $42,000. The
tax on the vehicle is
3%. What is the amount
of tax that needs to be
paid?


Answer:

(4,1)

Step-by-step explanation:

Multiply the first equation by -3

(x-5=-y)*-3 = -3x+15=3y

Then combine like terms with the new equation and the second equation

(-3x+15=3y) + (3x-10=2y) = 5=5y

Divide 5 by both sides

1=y

Plug in 1 for y in an equation. Doesn’t matter which one and solve

x-5=-(1)

Distribute the negative sign to the 1

x-5=-1

Add 5 to both sides

x=4

Answer:

18

Step-by-step explanation:

1/4 is close to 0 so 18 rounded to the nearest ones place is just 18

Answer:

20

Step-by-step explanation:

When we round to the nearest ten, we will round up to a number that has a zero in the ones place but we have to look at the number in the ones place before we round to determine the number in the tens place. The rule is if the number in the place before the place we need to round (in this case the ones place would be what we look at to determine the rounded tens place) 1-4 is going to round down, keeping the tens place the same and the ones place goes to zero, and if the ones number place is 5-9 then we round up, bringing the ones to zero and the tens up by one tens place.

Answer:

There are 40 books total

Step-by-step explanation:

you need to set a proportion

The first fraction is 55/100 it's over 100 because it's percent

the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books

then you multiply diagonally

55×x= 22×100

55x=2,200

Then you solve it like a regular equation by dividing both sides by 55

x=40

Answer:

There are a total of 40 books in the box.

Answer:

Graph f(x)=1/4x-3. f(x)=14x−3 f ( x ) = 1 4 x - 3. Rewrite the function as an equation. y=x4−3 y = x 4 - 3. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps. ... Any line can be graphed using two points. Select two x ...

Step-by-step explanation:

Answer:

Step-by-step explanation:

width = area ÷ length = 5x+3

Answer:

113 - L O L Z - but its a obtuse angle

Step-by-step explanation:

Answer:

8^2 = 7^2 + 11^2 – 2(7)(11)cos(P)

D.

Step-by-step explanation:

Edge 2021

The equation correctly applies the law of cosines to solve for an unknown angle measure is equation D.

A triangle is a polygon with three sides, three vertices, and three angles.

The length of P N is 7,

The length of N M is 8, and

The length of M P is 11.

The law of cosines is used to determine the missing sides and angles if two sides and an angle are given or three sides are given respectively.

The equation that correctly applies should have the two sides and the cosine of the included angle.

The correct equation is 8² = 7² + 11² – 2(7)(11)cos(P)

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Answer:

Exact Form:

2 √ 34

Decimal Form:

11.66190378

The distance between points (-7, 8) and (2, 8) is 9 units.

The distance d between two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is,[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]

For given question,

Let [tex](x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)[/tex]

Let d be the distance between two points.

Using distance formula,

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

[tex]d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }[/tex]

[tex]d=\sqrt{(2+7)^{2}+0^{2}[/tex]

[tex]d=\sqrt{9^{2}+0 }[/tex]

[tex]d=9[/tex]  units

Hence, the distance between points (-7, 8) and (2, 8) is 9 units.

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Answer:

only if you help me i can help you if you help me

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

m=1-2/-7-(-7)

m=-1/0

x=0 slop

the line will be vertical and the slope is undefined

Answer:

2 mi =10560ft

Answer:

Step-by-step explanation:

UWV is a 30°-60°-90° triangle.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2

The length of the side opposite the 90° angle is 10,

so the length of the side opposite the 30° angle is 5

and the length of the side opposite the 60° angle is 5√3

Answer:

263 / 280

Step-by-step explanation:

Given that :

Number of tickets bought = required outcome = 17

Total number of raffle = total possible outcomes = 280

Probability = required outcome / Total possible outcomes

P(winning) = 17 / 280

P(not winning) = 1 - 17/ 280

= 263 / 280

Answer:

D. 25

25 percent * 80 =

(25:100)* 80 =

(25* 80):100 =

2000:100 = 20

Answer:

triangle

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

6.3 seconds

Step-by-step explanation:

Make a table

Answer:

u = 4 yards

Step-by-step explanation:

Step 1:  Find u using sin

[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]

[tex]sin(30)=\frac{u}{8}[/tex]

[tex]8*sin(30)=u[/tex]

Step 2:  Plug into a calculator

[tex]8*sin(30)=u[/tex]

[tex]8 * \frac{1}{2} = u[/tex]

[tex]4 = u[/tex]

Answer:  u = 4 yards

0.16÷0.3220=0.49689440993

Answer:

2/3

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Given

9a² + 2b² ← substitute a = 4 and b = 7

= 9(4)² + 2(7)²

= 9(16) + 2(49)

= 144 + 98

= 242

Answer:

158

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.

Let's first find an expression for each angle.

Angle A: m<A = x + 100

Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.

Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.

Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.

(x + 100) + (x + 60) + 40 = 180

x + 100 + x + 60 + 40 = 180

2x + 200 = 180

2x = -20

x = -10

The measure of angle A is x + 100, and x = -10

m<A = x + 100 = -10 + 100 = 90

Answer: 90°

Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Step-by-step explanation:

I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.

1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.

2. I used the same method. Now I will multiply the two.

3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Answer:

132cm

Step-by-step explanation:

Answer:3 whole numbers 2/12

Step-by-step explanation:

2/3   x 1/4

3 2/12

Answer:

[tex](\text{A})\:\frac{50}{\pi}\:\text{mm}[/tex]

Step-by-step explanation:

This the arc is 90 degrees and there are 360 degrees in a circle, it makes up [tex]\frac{90}{360}=\frac{1}{4}[/tex] of the circle. Therefore, its length will be [tex]\frac{1}{4}[/tex] of the circumference. Since its length is 25 mm, the circumference is then [tex]25\cdot 4=100\:\text{mm}[/tex]. The circumference of a circle is given by [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, we can set up the following equation and solve for [tex]r[/tex]:

[tex]2\pi r=100[/tex]

Solving, we get:

[tex]2\pi r=100,\\\\r=\frac{100}{2\pi},\\\\r=\boxed{(\text{A})\:\frac{50}{\pi}\:\text{mm}}[/tex].