The width of a rectangle is 7 inches less than the length. The perimeter is 62 inches. Find the length and the width.

Answers

Answer 1

Answer: Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26

I hope this helped!

Step-by-step explanation:


Related Questions

Mitzy earned $3,156 last year at her weekend job, but realized after the year was over that her employer did not deduct any FICA from her paychecks. How much should she have paid in FICA taxes for her earnings last year? How much should she have paid in Social Security tax? How much should she have paid in Medicare tax? Together, they make up FICA. How much should she have paid in FICA?

Answers

PLEASE HELP, I need help with this too !!

Explanation:

Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?

Answers

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

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The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year

Answers

Answer:

The equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Step-by-step explanation:

During last years's charity walk, she raised $45.50.

During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Answer: 45.50=0.7n

Step-by-step explanation:

True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.

Answers

Answer:

False

Step-by-step explanation:

A right triangle has all side lengths the same

Answer: give me brainliest now

Step-by-step explanation:

Suppose that E and F are points on the number line.
If EF = 12 and E lies at -9, where could F be located?

Answers

Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

It’s either at 21 or 3 try it and let me know if works or if not email me and I’ll help you out.

A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A

Answers

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent



A superball rebounds half the height it drops. A student drops the superball from the top of a building, 176 feet above the ground. How far
above the ground is the ball when it has traveled a distance of 500 feet?

Answers

Answer:

62.48 ft.

Step-by-step explanation:

Initial height: 50 ft.

First rebound: 10 ft.

Second rebound: 2 ft.

Third rebound: 0.4 ft.

Fourth rebound: 0.08 ft.

If we approximate the fourth rebound to zero, we'll have:

50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.

At a carnival, the probability that you chose a winning rubber duck from 25 ducks is 0.20.

How many are not winning ducks?

Answers

The game is formed such that a duck is either winning duck or a non winning duck .

there is no other result for any duck present in the game .

Also choosing a duck is a fair game it is independent of any prior situation .

here we would be using a basic probability formula , that is

Probability of a result = number of items in favour of that result divide by total number of items present in the game .

Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?

Answers

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?

Answers

Your answer would be eight

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.

Answers

Answer:

100 = 2x + 4y

Step-by-step explanation:

Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1

Answers

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Max walks 10 meters in 4 seconds what is his walking rate in meters per second

Answers

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.

Answers

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

Courtney walks 5 laps around 1/4 mile track. how far does she walk?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!

Answers

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

Answer:

.83

Step-by-step explanation:

to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:

.83

hope this helps!!

PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form

Answers

Answer:

y=1+5

Step-by-step explanation:

b is the y intercept and 1 is the slope gradient

Corey need a 24 boards that are 47 1/2 inches long







A. How many feet a boards should he buy? Explains.










B. if you can only buy 8-fot boards, how many should he buy? explain ​

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet

24 boards × ((47.5/12) feet)/board = 95 feet

:::::

(8 feet)/board × (12 inches)/foot = (96 inches)/board

96/47.5 = 2 remainder 1

An 8-foot board provides two 47.5" boards, with an inch wasted.

He needs to buy 12 of the 8-foot boards.

help! algebra question

Answers

I think it’s y=10x+45 because the line starts at 45 and it’s increasing by 10. If i’m right can you mark me brainliest?

Factor out the greatest common factor

Answers

Answer:

C

A

B

D

Step-by-step explanation:

PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.

Answers

You can’t run backwards and forwards at the same time (mutually exclusive event). Rolling a dice and landing on 3 then landing on tails during a coin toss (independent events)

solve for x -2x + 2 = x -13

Answers

Answer:

x = 5

Step-by-step explanation:

Add 2x to both sides: 2 = 3x - 13

Add 13 to each side: 15 = 3x

Divide both sides by 3: 5 = x

Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15

Simplify using Synthetic Division

Answers

Step 1
Write down the first coefficient without changes:
−3223−10−3
−3
2
3 −10 −3
2

Step 2
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223(−3)⋅2=−63+(−6)=−3−10−3

3
2
3
−10 −3
(

3
)

2
=

6
2
3
+
(

6
)
=

3

Step 3
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−10(−3)⋅(−3)=9(−10)+9=−1−3

3
2 3

10
−3 −6
(

3
)

(

3
)
=
9
2

3
(

10
)
+
9
=

1

Step 4
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−109−1−3(−3)⋅(−1)=3(−3)+3=0

3
2 3 −10

3
−6 9
(

3
)

(

1
)
=
3
2 −3

1
(

3
)
+
3
=
0

We have completed the table and have obtained the following resulting coefficients: 2,−3,−1,0
2
,

3
,

1
,
0
.
All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus, the quotient is 2x2−3x−1
2
x
2

3
x

1
, and the remainder is 0
0
.
Therefore, 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1
2
x
3
+
3
x
2

10
x

3
x
+
3
=
2
x
2

3
x

1
+
0
x
+
3
=
2
x
2

3
x

1
Answer: 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1

The number of red marbles in a jar is 3 times the number of blue marbles

There are 27 red marbles and b blue marbles. Write an equation to represent this situation. How many blue marbles are there?

Answers

Answer:

I think this is the answer

9 blue marbles

3x=27

The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let b represents the number of blue marbles.

r represents number of red marbles in jar.

The number of red marbles in a jar is 3 times the number of blue marbles.

r=3b

There are 27 red marbles and b blue marbles.

27=3b

To find the number of blue marbles we have to solve the above equation.

Divide both sides by 3

27/3=3b/3

9=b

Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

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50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!

Answers

Answer:

43

Step-by-step explanation:

Which ratio is equivalent to 1 : 8

Answers

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough

Answers

Answer:

No, he doesn't have enough

Step-by-step explanation:

In eights, three quarters of a bottle is equal to 6/8.

Since 5/8 is smaller than 6/8, Craig won't have enough glue.

So, the answer is no.

Answer:

NO

Step-by-step explanation:

3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8

Given that P=x+y. Find P when: x=−5 and y=−3

Answers

Answer:

P = - 8

Step-by-step explanation:

Given

P = x + y ← substitute x = - 5 and y = - 3

P = - 5 + (- 3) = - 5 - 3 = - 8

The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?

Answers

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

Answer:

The first step is subtracting the two on both sides.

Step-by-step explanation:

You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.

Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff students says P(1 head) = 1/3. Explain in detail why Jose is correct.

Answers

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

HHHTTHTT

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

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