A dilation with a scale factor of 1/3 is a reduction.
True or false

Thank you if you can help!

Answer:

A 50

B 10

C 12/5

D 5

E 21

F 100

Answer:

yeah it is an expression

Explanation:

An expression may refer to any of the following:

A combination of letters, numbers, or symbols used to represent a value of a variable. ..

Answer:

9/25  .36 and 36 percent

Step-by-step explanation:

Answer:

9/25  .36 and 36 percent

Step-by-step explanation:

Answer:

the simplified answer is,

x^2 - 3x + x = x^2 -2x

Answer: [tex]4^0[/tex]

Step-by-step explanation:

[tex]4^5*4^-^7/4^-^2[/tex]

Rewriting this;

[tex]\frac{4^5*4^-^7}{4^-^2}[/tex]

When you multiply by the same base, you add exponents.

[tex]\frac{4^5^+^(^-^7^)}{4^-^2}[/tex]

[tex]\frac{4^5^-^7}{4^-^2}[/tex]

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

When you divide by the same base, you subtract exponents.

[tex]4^-^2^-^(^-^2^)[/tex]

[tex]4^-^2^+^2\\4^0[/tex]

Answer:

A) The amount of gas they bought on each coast;

East Coast = 35 gallons

Mid-US = 100 gallons

West Coast = 15 gallons

B) The amount of gas they bought on each coast on the return journey;

East Coast = 37 gallons

Mid-US = 116 gallons

West Coast = 21 gallons

Step-by-step explanation:

Complete Question

Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.

(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?

The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.

(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one

Solution

Let the amount of fuel bought on the east coast = x gallons

Let the amount of fuel bought on the mid-coast = y gallons

Let the amount of fuel bought on the west coast = z gallons

a) - They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $515 on gas to purchase 150 gallons of gas.

Total gallons purchased = x + y + z = 150

Total amount spent = 4x + 3y + 5z = 515

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 150

3x + 3z = 150

Divide through by 3

x + z = 50 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515

4x + 6x + 6z + 5z = 515

10x + 11z = 515 (eqn **)

x + z = 50

10x + 11z = 515

Solving the simultaneous equation,

x = 35 gallons

z = 15 gallons

y = 2x + 2z = 2(35 + 15) = 100 gallons

B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.

They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $601 on gas to purchase 174 gallons of gas.

Total gallons purchased = x + y + z = 174

Total amount spent = 4x + 3y + 5z = 601

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 174

3x + 3z = 174

Divide through by 3

x + z = 58 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601

4x + 6x + 6z + 5z = 601

10x + 11z = 601 (eqn **)

x + z = 58

10x + 11z = 601

Solving the simultaneous equation,

x = 37 gallons

z = 21 gallons

y = 2x + 2z = 2(37 + 21) = 116 gallons

Hope this Helps!!!

Answer: four million two hundred fifty thousand.

Step-by-step explanation:

Answer:

In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.

This is a trapezoidal prism, which is defined as

[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]

This is a triangular prism, which is defined as

[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]

In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as

[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]

Answer:

Once again idk

Step-by-step explanation:

honestly it don't matter cuz the test is done :)

Answer:

696.8 mm^2

Step-by-step explanation:

Does this make sense?

The surface area of figure  is  696.8[tex]mm^{2}[/tex].

To understand more, check below explanation.

The given figure is combination of a triangular shape and cuboid.

We have to find surface area of given figure.

The surface area of combined figure is summation of area of four triangle and area of cuboid excluding top of cuboid.

The base of triangle = 13mm

Height of triangle = 10.3 mm

Area of 4 triangle [tex]=4*\frac{1}{2}*13*10.3=267.8mm^{2}[/tex]

Surface area of cuboid excluding top is computed as,

              Area = (2*13*5) + (2*13*5) + (13 * 13)

              Area = 130 + 130 + 169 = 429 square millimeters.

Hence, surface area of figure = 267.8 + 429 = 696.8[tex]mm^{2}[/tex]

Learn more about the surface area here:

https://brainly.com/question/76387

Answer:

a17=3

Step-by-step explanation:

an=a1+(n−1)d  geometric sequence formula

-2=a1+(18-1)(-5)

-2=a1+17(-5)

-2=a1-85

a1=83

a17=83+(17-1)(-5)

a17=83+16(-5)

a17=83-80

a17=3

Hope this helps! Please mark brainliest :)

Answer:

39200

Step-by-step explanation:

Revenue = number of cameras * cost

R(m) = N(m) * C(m)

        = (50m+600) * (4m^2-15m+45)

The months since may is June July August September = 4 months

R(4) = (50*4+600) * (4*4^2-15*4+45)

        (200+600) * (64-60+45)

           800*49

                39200

Answer:

39,200

Step-by-step explanation:

September is 4 months after may, so m = 4

No. of cameras:

N(4)=50(4)+600 = 800

Cost per camera:

C(4)=4(4²)-15(4)+45 = 49

Total cost:

N × C

800 × 49

39200

Answer:

4.6257

4.6285

4.632

Step-by-step explanation:

Answer:

10.10

Step-by-step explanation:

Answer:

x=80°

Step-by-step explanation:

supplementary angles equal 180°

∠J=80

80+x+20=180

100+x=180

x=80

Answer:

B. 796 sq ft

Step-by-step explanation:

All of these shapes are rectangles.

The formula for the area of a triangle is length x width.

Dining Room

26 x 14 = 364

Bedroom

14 x 8 = 112

Enclosed Porch

20 x 16 = 320

Then you add all of the products.

364 + 112 = 476

476 + 320 = 796

Answer:

I THINK the domain is

Negative infinity to infinity

and I THINK the range is..

0 to infinity

Step-by-step explanation:

im not sure im sorry if im wrong : ) hope this helps

Answer:

Step-by-step explanation:

negative infinity to infinity

0 to infinity

pt2

negative infinity to infinity

3 to infinity

Answer: 2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.

Which of these inferences about the two debate teams are true? Check all that apply.

West Side is more consistent at winning.

East Side is more consistent at winning.

East Side typically wins more debates per year than West Side.

West Side typically wins more debates per year than East Side.

These graphs do not contain enough information from which to draw inferences.

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

a = 4  b = 1  c = 9

Step-by-step explanation:

Answer:

x = 2 + √2

x = 2 - √2

Step-by-step explanation:

- x² + 2x + 1 = 0

x² - 2x - 1 = 0

Here,

a = 1

b = - 2

c = - 1

Now,

Discriminant

D = b² - 4ac

= (-2)² - 4(1)(-1)

= 4 + 4

= 8

=2√2 > 0

Real and Distinct roots

x = - b +- √b² - 4ac/2a

= - (-2) +- √ = (-2)² - 4(1)(-1)/2(1)

= 2 +- √4 + 4/2

= 2 +- √8/2

= 2 +- 2√2/2

= 2 +- √2

x = 2 + √2 or x = 2 - √2

Answer:

x = 2 + √2 or x = 2 - √2

Step-by-step explanation:

Edge 2021

Answer:

AT THE POINT NUMBER 2 IS INCORRECT !

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees

Answer:

303.63 sq inches

Step-by-step explanation:

We need to find the area of the two rectangles he cuts and add them together.

The area of a rectangle is given as:

A = L * B

The first rectangle is 16 inches × 12 1/4 inches. Its area is:

A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches

The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:

A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches

The total square inches of construction paper that he needs is:

196 + 107.63 = 303.63 sq inches

Answer:

2 and 1

Step-by-step explanation:

x^2 - 3x + 2 = 0

(x-2)(x-1) = 0

the x can be 2 and 1

Answer:

x=2 and x=1

Step-by-step explanation:

x^2 - 3x + 2 = 0

(x-2)(x-1) = 0

(x-2)=0

x=2

(x-1) = 0

x=1

so values are x=2 and x=1

Hope this helps ...Pls Mark me as Brainliest!!

Answer:

The driveway of the brown house is longer by 5 feet.

Step-by-step explanation:

Given two houses (red and brown) such that:

We want to determine which of the houses has a longer driver.

To compare, we must ensure that all units are the same.

Therefore: 7 Yards =3 X 7 feet =21 feet

Driveway of the red house =7 yards and 9 feet long=21+9=30 feet

Therefore:

The driveway of the brown house is longer by 5 feet.

Answer:

6.000 grams

Step-by-step explanation:

1 kg = 1000g

=> 6 kg = 6000g

Answer:

The answer is 6,000 grams

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

[tex] 770 = 5\pi r^2[/tex]

If we divide both sides by [tex] 5\pi[/tex] we got:

[tex] \frac{770}{5\pi} = r^2 [/tex]

And taking square root we got:

[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]

And rounded to the nearest whole number we got 7 ft

Step-by-step explanation:

For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:

[tex] V = 5 \pi r^2 [/tex]

And we know that the volume [tex] V = 770 ft^3[/tex] and we want to solve for r so we can set up the following equation:

[tex] 770 = 5\pi r^2[/tex]

If we divide both sides by [tex] 5\pi[/tex] we got:

[tex] \frac{770}{5\pi} = r^2 [/tex]

And taking square root we got:

[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]

And rounded to the nearest whole number we got 7 ft

Answer:

27 c       to the power of 12

Step-by-step explanation:

Answer:

The answer is 27c¹² .

Step-by-step explanation:

You have to use Indices Law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So for this question :

[tex] 9{c}^{6} \times 3 {c}^{6} [/tex]

[tex] = (9 \times 3) {c}^{(6 + 6)} [/tex]

[tex] = 27 {c}^{12} [/tex]