Given AD = 7x , AB = 3x and the perimeter is 160. Find X.

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

The complete question illustrates that the rectangle has sides ABCD and I've represented it as an attachment.

We have that:

AB = 3x

AD = 7x

The perimeter is calculated as:

Perimeter = 2 * (AB + AD)

Substitute values for AB, AD and Perimeter

160 = 2 * (3x + 7x)

160 = 2 * 10x

160 = 20x

Divide both sides by 20

8 = x

x = 8

Given AD = 7x , AB = 3x And The Perimeter Is 160. Find X.

Related Questions

please help this grade means a lot to me

Answers

False, true, false are the answers

Answer:

1 is false, 2 true, 3 u answered

Step-by-step explanation:

Can somebody please help me please!!!!

Answers

You just multiply each of the coordinates by the scale factor. No extra work since it’s from the origin.
Doing this gives:
J’ (2.5 , 10)
K’ (15 , 10)
L’ (15 , 2.5)
M’ (2.5 , 2.5)

Cynthia was paid 20 cents pr board for painting the fence. If she was paid $10 for painting half the boards, how many boards were there?

Answers

Answer:

100 boards

Step-by-step explanation:

Step one:

Given data

We are told that Cynthia was paid 20 cents per board for painting the fence

that is for 1 board painted she gets $0.2

If she was paid $10

let us find the number of boards she painted for $10

= 10/0.2

=50 boards

This means that the total boards were 50*2= 100 boards

What is this number in standard form? seventy-one and ninety-two thousandths

Answers

Answer:

71.092

Step-by-step explanation:

The number in the standard form i.e. seventy-one and ninety-two thousandths should be considered as the 71.092.

Number in standard form:

Since the numbers are mentioned in alphabets like

seventy-one and ninety-two thousandths

We have to write in standard form

So, it should be like 71.092.

Hence, The number in the standard form i.e. seventy-one and ninety-two thousandths should be considered as the 71.092.

learn more about number here: https://brainly.com/question/2472437

Write a unit rate for the following situation. $54 for 3 every guests

Answers

Answer:

Step-by-step explanation:

It's 18 dollars per guest with 54:3

The farmer down the street has an orchard with both orange and grapefruit trees. Over the weekend, she collected 49 oranges and 84 grapefruits. She wanted to make baskets to sell at the local farmer's market with an equal number of oranges and grapefruits in each basket. What is the greatest number of baskets she can make.

Number of baskets she can make with an equal number of fruits in each basket?

Number of oranges in each basket?

Number of grapefruits in each basket?

Answers

Answer:

30 baskets

Step-by-step explanation:

Find the gfc of 150 and 240, you'll find that it is 30

Write an equation of a line with slope -3/2 and x-intercept (4,0)

Answers

Answer:

An equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given

Slope m = -3/2x-intercept (4, 0)

now substitute m = -3/2 and the point (4, 0) in the slope-intercept form of line equation

[tex]y = mx+b[/tex]

[tex]0\:=\:-\frac{3}{2}\left(4\right)\:+\:b\:\:\:\:\:[/tex]

[tex]-6+b=0[/tex]

Add 6 to both sides

[tex]-6+b+6=0+6[/tex]

Simplify

[tex]b=6[/tex]

Thus, the y-intercept b = 6

now substitute m = -3/2 and b = 6  in the slope-intercept form of line equation

[tex]y = mx+b[/tex]

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Therefore, an equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Write an algebraic expression to model the given context. Give your answer in simplest form. the price p of a coat reduced by a 5% discount​

Answers

Answer:

We conclude that the expression of the price p of a coat reduced by a 5% discount​ will be: 0.95 p      

Step-by-step explanation:

Let 'p' be the original price

Discount = 5% = 0.05

The discount amount can be calculated by multiplying the original price by 5% or 0.05

Discount Amount = 5% × p

                             = 0.05 × p

                             = 0.05 p

Given that the price p of a coat reduced by a 5% discount​.

Thus, the price after 5% discount​ can be calculated by subtracting the discount amount i.e. 0.05 p from the original price p.

Thus,

The expression of the price p after 5% discount​ = p - 0.05 p

                                                                                = 0.95 p

Therefore, we conclude that the expression of the price p of a coat reduced by a 5% discount​ will be: 0.95 p                                                

Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.What is the perimeter of the largest triangle?

Answers

Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

Longest side = 20 units

Longest side of larger triangle = 52 units

Sides of two similar triangles are proportional.

Let k be proportionality constant.

[tex]k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}[/tex]

[tex]k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}[/tex]

Length of other two sides,

[tex]10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}[/tex]

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

Hence, the perimeter of the largest triangle = 117 units.

2х + 3 +7+ 1 = simply the expression

Answers

Answer:

2x + 11

Step-by-step explanation:

2x stays by itself and the integers combine. (3+7+1 = 11)

Answer:

2x + 11

Step-by-step explanation:

you just add the 7 + 3 + 1 = 11

2x + 11

Work out the surface area of the solid cuboid
H=2cm
W=4cm
L=5cm

Answers

Answer:

total surface area = 76 sq.cm

Step-by-step explanation:

total surface area of cuboid = 2 ( lb + lh + bh )

( where l is length , b is width and h is height )

so, surface area :

= 2[ (5×4) + (5×2) + (2×4) ]

= 2 [ 20 + 10 + 8 ]

= 2 × 38

= 76 sq.cm

(8, -1) and slope m= -3 for slope intercept

Answers

Answer:

Slope-intercept Form: [tex]y = -3x + 16[/tex]

Step-by-step explanation:

Point-slope: [tex]y- y_1 = m (x - x_1)[/tex]

[tex]y + 1 = -3(x - 8)\\y \frac{+8}{-8} = -3x + \frac{+24}{-8} \\y = -3x + 16[/tex]

A. 28.26cm
B. 37.68cm
C. 18.84cm
D. 56.52cm

Answers

Answer:

Option D

Step-by-step explanation:

circumference: 2pi x r

r = 9 (6 + 12)/ 2

2 x pi x 9

= 18 pi cm^2 = 56.55 cm^2

Answer:

D. 56.52 cm

Step-by-step explanation:

Circumference = 2*pi*r

Based on the picture, we can see the largest circle has a diameter of 18 cm. (12 + 6)

The radius of the largest circle is half of it's diameter: 18/2 = 9 cm

Now put in the numbers for the circumference equation:

Circumference = 2 * pi * 9 (9 is the radius)

Circumference = 56.5 cm

What is the measure of AngleEDH? 10° 40° 50° 90°

Answers

50 ndbdndnncnchchchchchc

Answer:

50

Step-by-step explanation:

Ethan was able to save ₱220.00 in 5 days, spending only ₱25.50 of the allowance given him daily. How much allowance is he given a day?

Answers

Answer:

44 pounds daily

Step-by-step explanation:

Step one:

Given data

Ethan was able to save ₱220.00 in 5 days

He only spends ₱25.50 of the allowance given him daily

Required

His daily allowance

Step two:

if in 5 days he saves 220 pounds

then in 1 day he will save

=220/5

=44 pounds

A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that: • He plans to drive 500 miles. • He has at most $210 to spend. What is the maximum number of days that Jaxon can rent the car while staying within his budget?​

Answers

Answer:

2 days

Step-by-step explanation:

According to the problem, calculations of given data are as follows,

Rental charges per day = $68.64

Rental per mile = $0.12

Total miles = 500

Total spend = $210

Let number of days = X

So, we can find number of days by using following equation,

($68.64 × X ) + ( $0.12 × 500) = $210

$68.64 X + $60 = $210

$68.64 X = $210 - $60

$68.64 X = $150

X = $150 ÷ $68.64

X = 2.18 or 2 Days

y=5x+7 and passes through (4,3)

the answer is y=5x-17

How do you get the -17?

Answers

Answer:

i do not no i do not no

Step-by-step explanation:

A farmer estimated that there were 25 gallons of water left in the tank. If this is an understatement by 16%, how much water was actually left in the tank

Answers

Answer:

29.76 is ur answer

Step-by-step explanation:

4x - 10 > 22 or x-5 < -6


I need to know how to do this step by step..

Answers

Answer:

x > 3 or x < -1

Step-by-step explanation:

4x - 10 > 22

     -10     -10

4x > 12

divide both sides by 4

x > 3

x - 5 < -6

   +5    +5

x < -1

Hope this helps!!!

Ok so the answer is x>8 the steps would be
Calculate 4x> 22+ 10
The divide from both sides 4x>32 then the answer would be x>8

30% of 6th grade student made honor roll. if there are 248 students in 6th grade, how mant students were on the honor roll

Answers

Answer:

74.4

Step-by-step explanation:

what is the difference if you deduct 50.78 to 99.75

A. 49.97
B. 50.97
C. 48.97
D. 48.79

Answers

Answer: 48.97

Step-by-step explanation:

The answer is 48.97

This is the answer because if you subtract 99.75 -50.78 , this is the product with subtraction the higher number always comes first

Noah and his dad went out to lunch thier meal cost $34.56 Noah dad left a 15% tip on the table what is the amount of the tip he left for the meal what is the amount of lunch including tip​

Answers

The tip would be $5.18 and the amount including tip would be $39.74

In Mrs. Burgess' advisory, 18 students saw the action movie and 12 didn't. What is the ratio of students who saw the movie to the total students? Simplify the ratio.​

Answers

Answer:

18:30 or 9:15 depending on if you need to simplify

Step-by-step explanation:

Find the slope
1. (4,7) (-2,-5)

2. (-10,8) (-5,4)

3. (1,2) (3,9)

Answers

Answer:

1. m= 2

2. m= -4/5

3. m= 7/2

Step-by-step explanation:

There are 6 people in Jacob’s family. Jacob’s sister is 5 years younger than he is. He has twin brothers who are 3 years older than he is. His mom is 3 times Jacob’s age, and his dad is 4 years older than his mom. The total of all the ages of all his family members is 165 years. How old is Jacob? Define a variable, write an equation, and solve the problem.

Answers

Answer:

Jacob is [tex]16[/tex] years old.

Step-by-step explanation:

Let the age of Jacob be [tex]x[/tex] years.

Jacob’s sister is [tex]5[/tex] years younger than he is.

So, the age of Jacob's sister be [tex]x-5[/tex] years.

Jacob's twin brothers are [tex]3[/tex] years older than he is.

So, the age of each of the twin brother be [tex]x+3[/tex] years.

Jacob's mom is [tex]3[/tex] times his age.

So, the age of Jacob's mom be [tex]3x[/tex] years.

Jacob's dad is [tex]4[/tex] years older than his mom.

So, the age of Jacob's dad be [tex]3x+4[/tex] years.

Now, the total of all the ages of all his family members is [tex]165[/tex] years.

So, [tex]x+x-5+x+3+x+3+3x+3x+4=165[/tex]

[tex]\Rightarrow 10x+5=165[/tex]

[tex]\Rightarrow 10x=165-5[/tex]

[tex]\Rightarrow 10x=160[/tex]

[tex]\Rightarrow x=\frac{160}{10}[/tex]

[tex]\Rightarrow x=16[/tex]

Hence, Jacob is [tex]16[/tex] years old.

and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse before the 60 additional boxes arrived

Answers

Answer:

360 boxes

Step-by-step explanation:

The number of boxes in the warehouse before 60 boxes were added is;

n = 12k ....  equation 1

where k is the constant of the number of stacks and n is the number of boxes.

The number of boxes after the 60 boxes were added is;

n + 60 = 14k ... equation 2

substitute the value of n in equation 2 for equation 1:

12k + 60 = 14k

60 = 14k - 12k

60 = 2k

k = 60 / 2 = 30

The number of boxes in the warehouse before 60 boxes was added is;

n = 12 * 30 = 360

you flip a coin 10 times in a row. every single time it comes up heads. on the 11th flip, is it more likely to be heads, tails, or are heads and tails equally likely

Answers

Answer:

1/2

Step-by-step explanation:

It will be either heads of tails equally likely.

It’s still 1/2. Flipping a coin is an independent event. In other words, the outcome of the next flip is uninfluenced by what has happened previously. It’s as if it were the first time you ever flipped the coin. The probability is unaltered.


The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XYZ be than
the area of triangle ABC?

Answers

Answer:

Answer below :)

Step-by-step explanation:

Hi there!

Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.

Question 5 - A.

First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.

I hope this helps!

In ΔEFG, e = 1.4 cm, f = 5.2 cm and ∠G=7°. Find the length of g, to the nearest 10th of a centimeter.

Answers

Answer:

3.8

Step-by-step explanation:

delta math gave up

The unit price of a shirt is $12. The cost, c, of n shirts is represented by the equation c = 12n. Select the value that belongs in the highlighted box.

$2
$3
$18
$48
$60
$72

Answers

answer is 60 i believe
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