Aiden has two toy cars that measure two and one fourth inches, three that measure two three eight inches, one that measures two and seven eights inches, one that measures 2 and one eights inches, and one that measures two and three fourths inches. How long is aidens longest toy car.

Answer:

y = 5/3x - 10

Step-by-step explanation:

[tex]5x - 3y = 15\\-3y = -5x + 15\\y = 5/3x - 5[/tex]

that means the slope of the new line also has to be 5/3 because parallel lines have the same slope.

put it in point-slope form:

y - -5 = 5/3(x - 3)

y + 5 = 5/3x - 5

y = 5/3x - 10

Answer:

3,25 6,85 7,105

Step-by-step explanation:

I hope this helps!

Answer:

[tex]p^{4} s^{5} y^{-7} z^{-1}[/tex]

Step-by-step explanation:

[tex]\frac{1}{y^{7} } = y^{-7}[/tex]

[tex]\frac{1}{z} = z^{-1}[/tex]

The answer is x = -5/6

And in decimal form it would be, -0.8333333

Answer:

x^2-8x+12

Step-by-step explanation:

This is the expanded form if this is what you wanted

Answer:

B

Step-by-step explanation:

B is correct. Only positive equation with y int at 2

Answer:

b

Step-by-step explanation:

What is the graph for y=2x+2?

There are 2 ways to do this problem. The easier method is to set x as two random numbers, and find y for both of the situations. Then, you will find that, for example,

When x = 0, y = 2 and when x = -1, y = 0. The only graph that has these two points is b, so that is the answer.

However, there is a more reliable way to do this.

First, let's go over what slope is. Slope is the "m" in y=mx+b and can be found by doing "rise over run". In other words, it represents how steep the line is/how fast it rises. If there is a negative slope, the graph moves down, like in c or d. If there is a positive slope, the line moves up, like in a or b.

We need to find a graph that has a slope of two (for every x, y rises by 2 [like if x=1, y=2, or when x=2, y=4, etc.). This only leaves option b as an answer.

Answer:

40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 [tex]\frac{1}{2}[/tex] cm

width  =  2 [tex]\frac{1}{2}[/tex] cm

height  =  2 [tex]\frac{1}{2}[/tex] cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

Volume = [tex]\frac{13}{2}[/tex] x  [tex]\frac{5}{2}[/tex] x  [tex]\frac{5}{2}[/tex]

When you multiply everything together you should get [tex]\frac{325}{8}[/tex].

As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].

Answer:

Tan(t+pi) = 3

Step-by-step explanation:

First let's find the slope of the line through the points  and  

Note:  is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.

Also,  is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.

m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2

m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3

m=%283%29%2F%282%29 Subtract -2 from 0 to get 2

So the slope of the line that goes through the points  and  is m=3%2F2

Now let's use the point slope formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula

y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0

y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2

y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute

y-0=%283%2F2%29x%2B3 Multiply

y=%283%2F2%29x%2B3 Simplify

So the equation that goes through the points  and  is y=%283%2F2%29x%2B3

Notice how the graph of y=%283%2F2%29x%2B3 goes through the points  and . So this visually verifies our answer.

Graph of y=%283%2F2%29x%2B3 through the points  and

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

C because 45.1%=45% so 45% is closest to -3 to 0 degress

Why did you delete my answer?

Answer:

110

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Set the two given equations equal to each other (alternate angles i think)

12x + 2 = 11x + 11

**simplify and pull x to one side**

x = 9

**now insert x=9 into one equation (I choose 12x+2**

12(9) + 2 = 108 + 2 =110

A

Answer: 60

Step-by-step explanation:10 x 6 = 60 ( Also, 6x6x6x6x6x6x6x6x6x6 = 60

Answer:

$2.71 per ounce

Step-by-step explanation:

Answer:

2000000 bricks

Step-by-step explanation:

The computation of the number of bricks to be used is shown below:

The Volume of brick is

= (15 × 8 × 5)cm^3

= 600 cm^3

And, the Volume of wall is

= (1500 × 1000 × 800)cm^3

= 1200000000 cm^3

Now Bricks needed is

= 1200000000 cm^3 ÷ 600cm^3

= 2000000 bricks

-20 x 2 or -10 x 4 both equal -40

-2 x 3 = 6

Answer:

2/3

Step-by-step explanation:

Answer: 9x^2y^8/25z^4

Step-by-step explanation: Apply the exponent to all

0.81382 is a rational number because it is a terminating decimal.

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, and also whose behavior is known.

An irrational number is a type of real number which cannot be represented as a simple fraction and also whose behavior is not known.

According to the given question.

We have a number 0.81382

The above number is not repeating but terminating.

Therefore, we can say that the above number is rational because it is a terminating decimal.

Hence, 0.81382 is a rational number because it is a terminating decimal.

Find out more information about rational and irrational number here:

https://brainly.com/question/17450097

#SPJ2

Missing Part:

The initial fee for a taxi ride is $2.60.  Each mile traveled in a taxi costs an additional $2.50.

Answer:

[tex]2.60 + 2.50x > 12[/tex]

[tex]x >3.76[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2.60[/tex]

[tex]Rate = 2.50[/tex] per mile

Required

Miles traveled for more than $12

First, we represent the given parameters as an equation.

Represent miles with x and cost with y

So:

[tex]y = Initial + Rate * x[/tex]

[tex]y = 2.60 + 2.50 * x[/tex]

[tex]y = 2.60 + 2.50 x[/tex]

In Ian case, the distance traveled is more than $12.

This is represented as:

[tex]2.60 + 2.50x > y[/tex]

Substitute 12 for y

[tex]2.60 + 2.50x > 12[/tex]

Make 2.50x the subject

[tex]2.50x > 12 - 2.60[/tex]

[tex]2.50x > 9.40[/tex]

Make x the subject

[tex]x >9.40/2.50[/tex]

[tex]x >3.76[/tex]

Answer:

I think the answer is 105

Answer:

Step-by-step explanation:

opposite (o) = d

adjacent (a) = 105

Angle A = 90 - 53 = 37°

Therefore,

the correct equation would be

tan(A°) = opposite/adjacent

tan(37°) = d/105

d = 105 × 0.7535540501

d ≈ 79.12 units

______________

#IndonesianPride

- kexcvi

Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

    10x =      3.6161........   {Now subtract}

  990x=  358

         x = 358/990

 x = 179/495

Answer:

26

Step-by-step explanation:

if YZ bisects VW then VX = XW

if VX = 26 then XW = 26 also

Answer:

Acute i think

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

Given:

Triangles ABC and DEF are similar triangles.

AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y

To find:

The values of unknown sides, i.e., x and y.

Solution:

We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}[/tex]

[tex]\dfrac{6}{x}=\dfrac{16}{32}=\dfrac{15}{y}[/tex]

[tex]\dfrac{6}{x}=\dfrac{1}{2}=\dfrac{15}{y}[/tex]

Now,

[tex]\dfrac{6}{x}=\dfrac{1}{2}[/tex]

[tex]6\times 2=1\times x[/tex]

[tex]12=x[/tex]

Similarly,

[tex]\dfrac{1}{2}=\dfrac{15}{y}[/tex]

[tex]1\times y=15\times 2[/tex]

[tex]y=30[/tex]

Therefore, the measure of unknown sides are x = 12 m and y = 30 m.