Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =

Answer:

y=1/10x -9

Step-by-step explanation:

slope intercept formula -  y=mx+b

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Answer:

  1. b

  2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons

Step-by-step explanation:

The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...

  gallons = miles/(miles/gallon)

  18 mpg: 1000/18 = 55.6 gallons

  28 mpg: 1000/28 = 35.7 gallons

  34 mpg: 1000/34 = 29.4 gallons

  54 mpg: 1000/54 = 18.5 gallons

So, ...

  replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.

  replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.

Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.

__

The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.

Answer:

a=6

Step-by-step explanation:

5x+12=9x-12

5x+12-12=9x-12-12

5x=9x-24

5x-9x=9x-24-9x

-4x=-24

-24/-4

x=6

Answer: 12 + 5a = 9a + -12

Reorder the terms:

12 + 5a = -12 + 9a

Solving

12 + 5a = -12 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.

12 + 5a + -9a = -12 + 9a + -9a

Combine like terms: 5a + -9a = -4a

12 + -4a = -12 + 9a + -9a

Combine like terms: 9a + -9a = 0

12 + -4a = -12 + 0

12 + -4a = -12

Add '-12' to each side of the equation.

12 + -12 + -4a = -12 + -12

Combine like terms: 12 + -12 = 0

0 + -4a = -12 + -12

-4a = -12 + -12

Combine like terms: -12 + -12 = -24

-4a = -24

Divide each side by '-4'.

a = 6

Simplifying

a = 6

Step-by-step explanation: found it off of google

Answer:

90°

Step-by-step explanation:

33+57=90

180-90=90

Answer:

3 or 2 is the answer to the question

Answer:

34b+51

Step-by-step explanation:

When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...

17(2b+3)​

34b+51

Because you can't tell what x is, this is the most simplifying you can do.

Hopefully this helped you out...have an amazing day :3

Answer:

6

Step-by-step explanation:

If the x is 2 in f(x) the answer should be 6 according to your table.

Answer:

6

Step-by-step explanation:

if the X is to in f(x) answerr will be 6 according to your table

[tex]4 \frac{1}{2} \div 1 \frac{1}{4} [/tex]

[tex] \frac{9}{2} \div \frac{5}{4} [/tex]

[tex] \frac{9}{2} \times \frac{4}{5} [/tex]

[tex] \frac{36}{10} [/tex]

[tex] \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : [/tex]

[tex]3 \frac{6}{10} [/tex]

[tex]A. a = 3 , b = 6 , c = 10

[/tex]

Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

Answer:

There were 135 adults that were served.

Step-by-step explanation:

Let's use c for child's cost and a for adult's cost.

The total amount is 1347.50. With this, we can create an equation to solve for adults.

a + c = 250

3.50c + 7a = 1347.50

Using system of equations, we can plug in values to get our answer.

c = 250 - a

3.50(250 - a) + 7a =

875 - 3.5a + 7a =

3.5a = 472.5

135 = a

115 = c (when you plug a into the equations)

There were 135 adults that were served.

Answer:

135

Step-by-step explanation:

x = number of child's plate

y= number of adult's plate

x+y=250 => 1

3.50x+7y=1347.50 => 2

Multiplying equation 1 by 3.50,

3.50x+3.50y=875 =>

Subtracting equation 3 from equation 2,

3.50x +7y - 3.50x - 3.50y = 1347.50 - 875

3.50y = 472.50

y= 135

Answer:

integers

Step-by-step explanation:

Answer:

[tex]\boxed {x = 54}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]7(x - 5) - 9 = 334[/tex]

-Use Distributive Property:

[tex]7(x - 5) - 9 = 334[/tex]

[tex]7x - 35 - 9 = 334[/tex]

-Combine like terms:

[tex]7x - 35 - 9 = 334[/tex]

[tex]7x - 44 = 334[/tex]

-Add both sides by [tex]44[/tex]:

[tex]7x - 44 + 44 = 334 + 44[/tex]

[tex]7x = 378[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7}= \frac{378}{7}[/tex]

[tex]\boxed {x = 54}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]54[/tex].

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

= 3 × 4 × 10

= 120 minutes

120 minutes after 9 am is

60 minutes = 1 hour

60 minutes = 1 hour

= 2 hours.

9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

Answer:

Step-by-step explanation:

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

please give me brainliest     hope it helps

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.

Answer:

the answer is in the link

Step-by-step explanation:

https

      bxaha zshkkkvxxxkvvvvwuqgceuuuegieg   DONT KNO

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y ([tex]\frac{88}{100}[/tex])

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

Answer:

C. 1.06(0.88y)

Step-by-step explanation:

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if it was written in scientific notation, it would be 5*10^1

There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation

Answer:

x=40°

Step-by-step explanation:

We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.

One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.

The sum of the measures of angles R, S, and T is 180°:

[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]

Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:

2x-10+x+2x-10 =180

Simplifying:

5x=180+20

Solving:

x=200/5

x=40°

Answer:

-5

Explaination:

Because -3-2 is -5.

Answer: $994.50

Step-by-step explanation:

From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:

= 150 × $4.25

= $637.5

We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:

= $637.5 + (56% × $637.5)

= $637.5 + (0.56 × $637.5)

= $637.5 + $357

= $994.50

Answer:

m≤1

Step-by-step explanation:

Move the variable to the left,

m-5m≥-4

Collect like terms so you would have,

-4m≥-4

Then divide and switch the sign because you divided,

m≤1