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 =

Answers

Answer 1

Answer:

25

Step-by-step explanation:

Answer 2

Answer:

it is 25 :)

Step-by-step explanation:


Related Questions

Use the Distributive Property to simplify 17(2b + 3)​

Answers

the answer is 34b + 51

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 FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!

Answers

Answer:

integers

Step-by-step explanation:

1.which of the following would save more fuel?
a.Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b.Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c.Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.

Answers

9514 1404 393

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.

PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST

Answers

Ok so it's lemon juice to sugar. I seen one that is 1:1 (1 juice to 1 sugar) do the 2nd lowest juice to sugar after this and keep going till the last ratio.

5a+12 = 9A-12

Can anybody help me ?

Answers

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

find the value of x (PLEASE HELP THIS IS a 40 point question)

Answers

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°

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?


$234.00
$357.00
$637.50
$994.50

Answers

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

Which of the following situations have a sum of zero? Select all that apply.

1. Shawna spends $20 on materials to make bracelets for her friends. She then earns $20 from selling the bracelets.

2. A diver dove down 20 1/4 feet under water and then descended 20 1/4 feet.

3. A golfer shot 2 over par (+2) on a hole. They then then shot 2 under par (−2) on the next hole.

4. You have $5.50 in your pocket and then you receive $5.50 for doing your chores.

Answers

I’m pretty sure it’s 1. And 2.
The first and the third.

2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°

Answers

Answer:

90°

Step-by-step explanation:

33+57=90

180-90=90

Aline's

y -intercept

is 10, and its slope is 9

. What

is its equation in

slope -intercept

form?


Write your answer using integers, proper fractions, and improper fractions in simplest form.


y = x +

Answers

10 the m is the slope so 9 and the b is the y intercept (10)

I’m not very great a math and I’m a bit rush so yeah

Answers

Answer:

y=1/10x -9

Step-by-step explanation:

slope intercept formula -  y=mx+b

1/10 x i apologize if the answer is wrong but i hope this helped!

WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served

Answers

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

If mZ3 = 74°, find each measure.

Answers

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answers

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.

WILL GIVE BRAINLIEST

Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2

Answers

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

Please help me solve this problem!! I WILL GIVE YOU BRAINLIEST!
(Algebra 1)
m≥5m-4

Answers

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

Will hand out brainliest to the best answer! (+100 pts)

Answers

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

A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.

Answers

Answer:

the answer is in the link

Step-by-step explanation:

https

      bxaha zshkkkvxxxkvvvvwuqgceuuuegieg   DONT KNO

4x - 5y = 10 solve for y=mx+b​

Answers

-5y = 10 - 4x

y = - 10 - 4x over 5

y = - 2(5 - 2x) over 5

hopefully this is correct

Answer this problem
-3+(-2)​

Answers

Answer:

-5

Explaination:

Because -3-2 is -5.

The answer is -5, because you are adding two negatives, the sign stays the same.

Which values of a, b, and c correctly represent the answer in simplest form? PLEASE HELP I AM BEING TIMED TRYING TO HELP OUT MY LITTLE SISTER, I WILL MARK BRAINLIEST!!!!!!!!!
4 1/2 division sign 1 1/4 = a b/c?

A. a=3, b=6, c=10
B. a=3, b= 3, c=5
C. a= 5, b= 3, c=3
D. a=10, b=6, c=

Answers

[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]

In place of A , 3 is there , in place of B , 6 is there and in place of C , 10 is there .

Therefore , the correct option is :-

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

[/tex]

7(x−5)−9=334 what is the answer of x

Answers

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].

1890s was rounded to the nearest 10 what is the upper bound ​

Answers

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:

Write an expression for: The sum of 5 times a number and twice a number is 42.

Answers

Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

Determine the distance from point (2,4) to (4,-2) Plz help asap

Answers

Answer:

Step-by-step explanation:

ASAP HELP ASAP HELPPPP

Answers

Answer:

3 or 2 is the answer to the question

PLZ HELP its a test re rake i really need to get it right or im gonna fail

Answers

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

cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer

Answers

1.)17.32 which would round to 17.3(to find mean you add up all the numbers in the data set then divide by how many numbers there are)

2.)22(mode is the number that is repeated the most in a data set)

Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Answers

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

Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.

A y − 0.12y

B 0.06(0.88y)

C 1.06(0.88y)

D y − 0.88y + 0.06y

Answers

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:

If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is add

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:

Other Questions
MY 1st QUESTION, WILL GIVE BRAINILIST!Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates. Analyzing a Linear Function Expressed in Different Ways Choose the true statements. A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? A) The slope of the equation must be positive. B)The y-intercept of the equation is zero. C) It is possible that the line on the graph is horizontal. D) The slope of the equation must be negative. The chart shows data for four different moving objects.A 3 column table with 4 rows. The first column is labeled object with entries W, X, Y, Z. The second column is labeled mass in kilograms with entries 10, 18, 14 and 30. The last column is labeled velocity in meters per second with entries 8, 3, 6, 4.Which shows the order of the objects kinetic energies, from least to greatest?W, Y, X, ZZ, X, Y, WW, Y, Z, XX, Z, Y, W Rewrite the expression by factoring out (w-7).3w2(w 7) - 5(w-7) Help me out please I need help Which of the following is most likely to be a primary data source:a. A sales invoiceb. A customer recordc. An expense reportd. A customer survey a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell A studious physics student is interrupted by a swarm of bees and chased off a cliff. Since she has her calculator in hand she quickly punches in numbers to figure out the initial velocity she needs to make it into the lake below. The cliff is 10 m high and the lake is 15 m away from the edge of the cliff. Find the time it takes her to drop. Find her initial velocity, how does litmus indicator work If a = 35, b = 3, c = 1, d = 5, which equality is true?A) da = bcB) ab = cdC) ba = cdD) ad = bc today's midterms and I just want to say good luck to you all. (we're doomed) 4. What is the slope of the line y = 3? (1 point) Read the excerpt from Harriet Tubman: Conductor on the Underground Railroad.She started talking about William Still and the Philadelphia Vigilance Committee. No one commented. No one asked any questions.In this excerpt, which rhetorical appeal is Tubman attempting to use to convince people to continue?Ethos, because she is using her own knowledge as a tool.Pathos, because she is appealing to her audiences needs.Ethos, because she is appealing to their emotional needs.Pathos, because she is using facts to convince her audience. Magnets are usually made up of which materialA. plasticB. iron oreC. copperD. gold The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? D and E are similar but not congruent. E and F are similar and congruent. D and E are similar and congruent. F and D are similar but not congruent. List the three jobs for a female in the Industrial Revolution Question 11 ptsThe function f(x) = 4x + 10 models the amount of money Francis makes when babysittingfor x hours. How much money will he make for 2 hours of babysitting work?2.0-2O-3O 18 Which of the following adaptations enables deciduous trees to produce more food?a.thick barkb.stretching toward the sunc.leaf lossd.color changeim pretty sure its b, but im just making sure In war there is a good side and a bad side regardless of personal feelings or sides? Yes or no? Why? a tourist information center charges $10 per hour to rent a bicycle