If the perimeter of the rectangle shown is 60 feet, we can use the equation 8x + 4 = 60 to find its dimensions. If the solution to this equation is x = 7, what are the dimensions of the rectangle?

Answers

Answer 1

Answer:

l= 28 feet

b = 2 feet

Step-by-step explanation:

The perimeter of a rectangle is given by;

P= 2(l + b)

Comparing this to the equation; 8x + 4 = 60, i can write;

2(4x + 2) = 60

This means that;

l = 4x

b = 2

but x =7

So;

l = 4* 7 = 28 feet

b = 2 feet


Related Questions

John drew a scale drawing of a house and its lot. The house's driveway is 4 inches wide in the
drawing. The actual driveway is 20 feet wide. What scale did John use?

Answers

Answer:

John used the metric scale.

Step-by-step explanation:

Answer:

Step-by-step explanation:

20ft=(20)12=240in

4/240=1/60

help pleasseeeeeeeeee​

Answers

Answer:

B, C, E, F

Step-by-step explanation:

Find the value of x. Round to the nearest tenth:

Answers

Answer:

x = 13.5

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

Answer:

I think the answer is letter C

HELP IT WOULD MEAN A LOT IT'S DUE TODAY IN 7 MINUTES​

Answers

Answer:

39

Step-by-step explanation:

39 + 32 = 71

hope this helps have a good day!!

PLEASE MARK BRAINLIEST!! :)

-6/7 times (-3/8 does anyone know the answer?​

Answers

the answer to this question is 9/28

The half-life of hellium-5 is 7.6x10^-22 seconds, and the half-life of hellium-9 is 7x10^-21 seconds. Approximately how many times greater is the half-life of hellium-9 than that of helium-5?

Answers

Answer:

9.2 times greater

Step-by-step explanation:

Given that :

Half life :

Helium - 9 = 7x10^-21 seconds

Helium - 5 = 7.6x10^-22 seconds

To obtain the number of tunes helium - 9 half life is greater than helium - 5 ; we divide the half life of helium-9 by the half life of helium 5

7x10^-21 seconds / 7.6x10^-22 seconds

0.9210526 x 10^(-21 - (-22))

0.9210526 * 10^1

= 0.9210526 * 10

= 9.2105

About 9.2 times greater

which expression is equivalent to (x ^4) ^-5

Answers

Answer:1/x^20

Step-by-step explanation:

Answer:

[tex]\frac{1}{x^{20}}[/tex]

Step-by-step explanation:

[tex](x^{4})^{-5}[/tex] = [tex]\frac{1}{(x^{4})^{5}}[/tex] = [tex]\frac{1}{x^{20}}[/tex]

What number needs to be subtracted from both sides of the equation 40 = 25 + x in order to isolate the variable and solve for x?

Answers

Answer:

x = 15

Step-by-step explanation:

As given, the equation 40 = 25 + x

As on the R.H.S of the equation, there is one constant and a variable x

As to isolate the variable we have to subtract the same constant so that that constant gives 0.

As we have the constant value 25

So, subtract 25 from both side of the equation, we get

40 - 25 = 25 + x - 25

⇒15 = x

∴ we get

x = 15

Algebra 1 Please help! thank u sm

Answers

Answer:

1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.

2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.

3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.

Step-by-step explanation:

I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:

When you multiply, you add.

When you divide, you subtract.

When there are parentheses, you multiply.

In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.

Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!

A line passes through point (-2, 5) and has a slope of 5/2.
Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.

Answers

Answer:

5x-2y=-20

Step-by-step explanation:

y-y1=m(x-x1)

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

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20

Joan measures the mass of a solid metal object. It has a mass of 102.0 g. She also measures the volume of that object and the object has a volume of q 027 mL a)

What is the density of the metal object?
What metal could it be made Of?

Answers

Step-by-step explanation:

P=m/v

P=102,0 ÷027

P=3,77 that is the density

It is made of copper

Use the discriminant to determine all values of k which would result in the graph of
the equation y = -2x2 + kx – 18 being tangent to the x-axis.

Answers

Answer:

k = ±12

Step-by-step explanation:

Equation of the graph is,

y = -2x² + kx - 18

Discriminant of a quadratic equation, y = ax² + bx + c is defined by

Discriminant = √(b²- 4ac)

If √(b²- 4ac) = 0,

Equation will have one real solution.

Discriminant of the the given equation = √[k² - 4(-2)(-18)]

Since, graph of the equation is tangent to the x-axis, there will be one real solution.

Therefore, √[k² - 4(-2)(-18)] = 0

k² - 144 = 0

k = ±√144

k = ±12

Idris bought 9 tomato plants for $33.12. How much did each tomato plant cost?

Answers

33.12 ÷ 9 = 3.68$3.68

Answer:

9 tomat plant cost= 33.12

each tomato plant cost = 33.12 / 9

answer = 3.68 dalours

solve for x or find x ​

Answers

Answer:

x = 18

Step-by-step explanation:

diagonals bisect each other so 12x = 216

x = 216/12

x = 18

-[52-[36-58(24x82) x36] +(-42)]=​

Answers

Answer:

- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = ​−4109158

I need help with this math question ​

Answers

Answer:

16675514 Frog

Step-by-step explanation:

[tex]g(25)=14(1.75)^{25} =16675514[/tex]

x^2 + 5x + 13 pls help

Answers

Answer:

Not factorable

Step-by-step explanation:

We are given a polynomial and are asked to solve or factor it I am assuming.

To solve this, there is a certain rule I like to follow, which is for b (in this case 5), you have to find two numbers that multiply to it, and for c (in this case 13), you have to find two numbers that add to it.

Since no two numbers multiply to 5 and add to 13, therefore this polynomial is not factorable.

What is the equation of the line that passes through the point (8,1) and has a slope
Answer:

Answers

Answer:

x=1y

Step-by-step explanation:

umm what's the slope though bro??
there's no way of knowing the equation without 2 coordinate pairs or one coordinate pair and slope but you have none

Shandra had $200 in her bank account on Monday. On Tuesday, she had a
debit of $50 and a credit of $25. How much money does Shandra have in
her bank account on Wednesday?

Answers

Answer:

175

Step-by-step explanation:

An item with an original price of p dollars is on sale at a 35% discount. Write an
expression that is equivalent to the price of the item with the discount.

Answers

The answer to your question is 0.25 p

One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram

Answers

Answer:

72, 72, 108, 108

Step-by-step explanation:

x, x, x+36, x+36 =360

4x=288

x=72

so,  x=72, x=72, x=108, x=108

Answer:

72*, 72*, 108*, 108*

can someone help me with these 2 answersss

Answers

Answer:

1. -12

2. 8

Step-by-step explanation:

We are given two equations, both with meanings of variables, making my job a little bit easier wink wink.

Let's start with 5x + 3 when x = -3

Substitute :

5(-3) + 3

-15 + 3

-12

Onto the next :

2x - 4 if x = 6

2(6) - 4

12 - 4

8

simplify the following without a calculator leave your answer with positive exponents


[tex](0.008) \frac{2}{3} [/tex]

Answers

It would be simplified: 2/375

Help I will be marking brainliest!

A. 65.99
B. 70.19
C. 52
D. 65.52

Answers

Answer:

65.992

Step-by-step explanation:

LM/PL = RN/QR

LM / 113 = 73/ 125

LM =(73/125) * 113

Step-by-step explanation:

LM =1/2 of 113

56.50

so according to to me it is D) 65.99

How do you solve for x and y?

Answers

Answer:

x = 100, y = 50

Step-by-step explanation:

Make a system of equations:

First, you know that x + y degrees and 30 degrees are on a line together, they add up to 180 degrees:

x + y + 30 = 180

x + y = 150

Next, the interior angles of a triangle always add up to 180 degrees, and since 2y, x/2, and 30 are all the angles in a triangle, you have:

2y + x/2 + 30 = 180

x/2 + 2y = 150

Now, all you have to do is solve the system of equations.

To start, multiply the second equation by 2 to get rid of the fraction:

x + 4y = 300

Then, you can subtract the two equations:

x + 4y = 300

- (x + y = 150)

3y = 150

divide both sides by 3

y = 50

substitute y = 50 into the equation x + y = 150:

x + 50 = 150

x = 100

PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit a
child's sweater as it does to knit one hat.
a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solve
the problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.
It will take yards of yarn to knit a child's sweater.
b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?
It will take yards of yarn to knit a hat, a scarf, and a child's sweater

Answers

Answer:

A: 2,400 yards is needed for the child's sweater

you would take 400*2 to get the amount of yarn for the hat (800)take 800 (value of the hat) * 3 (the sweater uses three times as much yarn than the hat) = 2,400.

B: HAT: 800 yards

   SCARF: 400 yards

   SWEATER: 2,400 yards

we already have all of the values present from the first part of the problem, so we would just plug those in for the correct thing.

Step-by-step explanation:

i really hope this helped! if it did please give me brainliest.

me Digão qual e a resposta​

Answers

Answer:

As somas estão abaixo

Step-by-step explanation:

a) 158

b) 2095

c) 2819

d) 9082

Eu espero que isso ajude :)

A 45 ounce box of cereal costs $3.99. Find the unit price. Round your unit
price to the nearest cent if needed.

Answers

Answer:

0.1125 ounces per cent

simplify -8-(12)+(-2)​

Answers

Answer:

-22

Step-by-step explanation:

-8-(12)+(-2)

-8-12-2

-20-2

-22

HOPE THIS HELPS!

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