The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?

Answers

Answer 1

Answer:

Width: 13/2 ft.

Length: 12 ft.

Step-by-step explanation:

Let's assume the width is x

This means that the length is 2x-1, because it it one less than double the width.

The formula for the area of a rectangle is length*width, so

(2x-1)*x=78

Now let's solve for x

2x^2-x=78

2x^2-x-78=0

Use the quadratic formula

x=13/2 and x=-6

x cannot be negative, so we can rule out x=-6 and are left with x=13/2.

Substituting x back into our original assumptions, we now know that

The width is x=13/2 and

The length is 2x-1=2(13/2)-1=12

Final answer: The width is 13/2 ft. and the length is 12 ft.


Related Questions

Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.


How much floor space will toy chest A take up?

Answers

Answer: 20ft

Step-by-step explanation:

floor space is only worried about the area of the base, so A would be 4*5 or 20

Answer:

20

Step-by-step explanation:

11 more than a number k equals 29.

HELP ME PLSSSSSSS

Answers

Answer:

11+k=29

Step-by-step explanation:

So "more than" means addition.

let's solve this for fun

11 + k =29

k = 29-11

k= 18

Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?

Answers

Answer:

$0.71

Step-by-step explanation:

9.99 + (3% of 9.99) = 10.2897

11 - 10.2897 = 0.7103, so $0.7103 is our answer. However, this isn't a real amount of money that can be handed from a clerk to a customer. So, we will round it to the nearest cent, bringing us to $0.71, our final answer.

find x

help please, asap.

Answers

Answer:

X=58 degrees

Step-by-step explanation:

So We can start by finding the angle thats supplementary to 109.

Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.

109+y=180

Solve that by isolating the y and you would get 71 as the missing side.

Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.

Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.

71+51+x=180

Combine like terms

122+x=180

Isolate the X

x=58

So x is 58 degrees.

Answer:

x = 180 - 51 - 71 = 58°

beth owes 17000 on her car loan. the interest rate on her loan is 4.25% she will be paying this loan off in 4 years how much will beth pay all together?

28,900
19,890
2890
45,900

Answers

Answer:She has to pay $20078.7 amount.

Step-by-step explanation:

Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.

To find : How much will she pay altogether?

Solution :

Using compound interest formula,

A = P(1 + r)

Where A is the amount

P is the principle P=17,000

P is the rate r=4.25%=0.0425

t is the time t= 4 years

Substitute the value,

Therefore, She has to pay $20078.7 amount.  

Find the value of x. i’m so lost. it’s geometry!

Answers

Answer:

150°

Step-by-step explanation:

Consider OACB,

Here <CAO =<CBO= 90° ( As they are tangents)

<ACB= 30°

Now, <CAO +<CBO+<ACB+x= 360°

90°+90°+30°+x= 360°

x= 150°

Hope it helps

Answer:

150°

Step-by-step explanation:

Construct a line OC, and consider the resulting triangles ΔOAC.

<AOB=(1/2)x

<CAO=90

<ACO=30/2=15

Angles in a triangle add to 180, so

90+15+(x/2)=180

x/2=75

x=150°

I
Which ordered pair could you add to the following list of points to
create a function? (3,5) (4, 9) (2,5)
(4, 1)
(2,6)
(3,7
(1,9)

Answers

Answer:

2-6

Step-by-step explanation:

5 673226

DONT SCAM ME WITH A LINK

Answers

Answer: 2

600/3 = 200 meaning that each gallon of paint covers 200 sq ft

Describe the figure that is created with the points ( -2, -3) ( - 2, 5, (1, -3), and (1, 5)

Answers

Answer:

Hi! The answer to your question is Rectangle

Step-by-step explanation:

↗✧*☆*: .。..。.:*☆♪↗✧*☆*: .。..。.:*☆♪

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Math\Angles
Find the missing angle


Answers

Answer:

x = 180° - 72° = 108°

Because x and 72 degrees are supplementary angles.

Look at the attached screenshot for my answer!!! Hope this helps!! Have a wonderful life now!!!

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. Determine the height

Answers

Answer:

so lets get the cones volume first the formula for a cone is V=πr2/3

so V=πr2h

3=π·22·3

3≈12.56637

and then the height of the cylinder is 4

Step-by-step explanation:

In a study of the relationship between pet ownership and physical activity in older adults, 586 subjects reported that they owned a pet, while 1931 reported that they did not. Give a 98% confidence interval for the proportion of older adults in this population who are pet owners. Lower limit Incorrect: Your answer is incorrect. Upper limit

Answers

Answer:

Step-by-step explanation:

In a study of the relationship between pet ownership and physical activity in older adults, 586 subjects reported that they owned a pet, while 1931 reported that they did not. Give a 98% confidence interval for the proportion of older adults in this population who are pet owners. Lower limit Incorrect: Your answer is incorrect. Upper limit

p ± z × (1 - p/n)

z = 98%

p = 586/1931

= 0.3034697048

n = 1931

Approximately = 0.3035

Confidence interval =

0.3035 + 2.326 × ( 1 - 0.3035/ 1931)

Which is more, 215 inches or 6 yards?

Answers

Answer:

6 yards is more, 6 yards converted into inches is 216

Step-by-step explanation:

Answer:

6 yards

Step-by-step explanation:

1 inch = 0.0277778 yard

=> 215 inches = 5.97222 yards

- But 5.97222 < 6

Therefore, 6 yards are longer than 215 inches

Huiling bought 18 chicken nuggets.
She ate 6 of them.
What fraction of the chicken nuggets did she eat?
Give your answer in its simplest form.​

Answers

Answer:

2/3

Step-by-step explanation:

I think that's the answer.

Need help!! ASAPP!

With number #4


thx <3

Answers

Answer:

Clean and Bright

Step-by-step explanation:

For soapy suds, you would do 13×12, would would give you only 156 sq inches. However, with Clean and Bright, you would do 9×13×8 since it is three dimensional. This would give you 936 cubic inches, meaning it holds the most detergent.

Can someone please help.

Answers

Answer:

26 degrees :)

Step-by-step explanation:

Yeah it’s 26 degrees

In the box-and-whisker plot below, what is the 2nd quartile?

a. 25
b. 30
c. 45
d. 50

Answers

The answer is 30 bro

Zac collected 4 pounds of aluminum cans. Eduardo collected 7/8 as many pounds as Zac. How many pounds of aluminum cans did Eduardo collect? *

Answers

Answer:

Eduardo collected 0.875 pounds can

Step-by-step explanation:

have a nice day dear

Square root 2x + 3 equals X

Answers

3 (had to feel the space with words)

Can sumone help me wit this

Answers

Answer:

1/9 i think not sure

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Well the chance of picking 3 one time is 1/3

The chance of picking 3 the second time is 1/3

So at first, we've succeeded with probability 1/3 and failed with probability 2/3

We don't care what happens next if we've failed - we already failed.

So we've reached the "picking the second card with hope in our hearts" 1/3 of the time and we again succeed with 1/3 of a chance, so the total probability of success is 1/3 * 1/3 = 1/9

Think of the options:

3 and 3 - probability 1/3 * 1/3 = 1/9

3 and non-3 - probability 1/3 * 2/3 = 2/9

non-3 and 3 - probability 2/3 * 1/3 = 2/9

non-3 and non-3 - probability 2/3 * 2/3 = 4/9

Note that all the options sum to 1 - as probabilities of all options always should.

Is the following statement true or false?
A parabola opens up when a is positive.
A True
B False

Answers

Answer:

trueeeeeeeeeeeeeeeee3

Answer:

if a is positive the parabola opens up to the right and it's a negative it opens down

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches. If 36 men are randomly​ selected, find the probability that they have a mean height greater than 72.3 inches. Round to four decimal places.

Answers

Answer:

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.

This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]

Sample of 36:

This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]

Find the probability that they have a mean height greater than 72.3 inches.

This is 1 subtracted by the pvalue of Z when X = 72.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]

[tex]Z = 2.86[/tex]

[tex]Z = 2.86[/tex] has a pvalue of 0.9979

1 - 0.9979 = 0.0021

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Susannah is buying lunch for her friends at a restaurant. The bill is $50, and she wants to
leave an 18% tip.

Answers

Answer:

she tips $9

Step-by-step explanation:

which number is at point T on the number line?

Answers

Answer:

-2/3

Step-by-step explanation:

ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

the third one

Step-by-step explanation:

it is a line that keeps continuing that way

Put the lowest number on the left 2 0 -3 -4

Answers

Answer:

-4, -3, 0, 2

Step-by-step explanation:

Answer:

-4,-3,0,2 :p ...........

is 0.3 greater than 0.22

Answers

Answer:

Yes

Step-by-step explanation:

.3 is the same as .30, and 30 is greater then 22, therefore .3 is greater then .22

A Jar contains 125 marbles. Given 3% of the marbles are green, 9% of the marbles are blue, and the rest are red, how many red marbles are in the jar? There are red marbles in the jar?

Answers

Answer:

111 red balls

Step-by-step explanation:

125×0.03= 3.75 3balls

125×0.09=11.25 11balls

125-3-11=111

111 is red

Find 0% of 200:

Find 100% of 200:

Find 50% of 200:

Find 25% of 200:

Find 75% of 200:

Answers

Answer:

0

200

100

50

150

Step-by-step explanation:

0% of 200 = 0

100% of 200

= ( 100 / 100 ) x 200

= 1 x 200

= 200

50% of 200

= ( 100% of 200 ) / 2

= 200 / 2

= 100

25% of 200

= ( 50% of 200 ) / 2

= 100 / 2

= 50

75% of 200

= ( 75 / 100 ) x 200

= ( 75 x 200 ) / 100

= 75 x 2

= 150

helppp!!! What is the value of y?
60°
v2
45
Enter your answer, as an exact value, in the box.

Answers

Answer:

y=2√3, or 3.46410161513

Step-by-step explanation:

The smaller triangle is a right isosceles triangle, so the other side is also √2. To figure out it’s hypotenuse, you can use the Pythagorean theorem.

√2²+√2²=c²

2+2=c²

4=c²

√4=c

c=2

Now that we know that value, we can look at the bigger triangle.  It is a 30-60-90 triangle, which has special properties.

Y would equal the two of the base times the square root of three.

y=2√3, or 3.46410161513

The value of the y is 2√3 if the value of hypotenuse in the triangle with 60-degree angles is 2

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

From the sin ratio in the triangle with angle 45 degree

Sin45 = √2/x

x = 2

From the triangle with angle 60 degree

y/2 = tan60

y = 2√3

Thus, the value of the y is 2√3 if the value of hypotenuse in the triangle with 60-degree angles is 2

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ2

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