The area of a rectangle is its length times its width .
The area of a rectangle is 60 square centimeters.
its length is 7 cm longer than its width .find its width .
what is its length write an equation and solve it ​

Answers

Answer 1

Answer:

The length is 5cm.

Step-by-step explanation:

(x)(x+7) = 60

x^2 +7x = 60

x^2 +7x - 60 = 0

x^2 + 12x - 5x = 0

Answer 2

Answer:

\(lenght = 12cm \\ width = 5cm\)

Step-by-step explanation:

\(area \: = lenght \times width \\ area = 60cm { }^{2} \\ let \: width = xcm \\ let \: lenght = (x + 7)cm \\ 60 = \: (x)(x + 7) \\ 60 = x ^{2} + 7x \\ x {}^{2} + 7x = 60 \\ x {}^{2} + 12x - 5x - 60 = 0\\ x(x + 12) - 5(x + 12) \\ (x + 5)(x + 12) \\ x = 5 \: or \: x =- 12 \\ since \: width \: cant \: be \: negative \\ width = 5cm \\ lenht = 5 + 7 = 12cm\)


Related Questions

Calcular los 3/5 de los 2/3 de las 3/4 de 560

Answers

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

How to solve fractions?

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Question /
State the quadrant in which the terminal side of the given angle lies.
0 =
77
4.
А
II
B.
I
IV
Ос
Oo
III

Question /State the quadrant in which the terminal side of the given angle lies.0 =774.IIB.IIVOoIII

Answers

Answer:

9y - 19 = 62

Step-by-step explanation:

thats not that answer i dont know what  the answer is

bsmcjdndjcjsmhxkxj hxjcjj nxh hshshshsjhaha jxj sn jann u

solve the inequality-2+4x<14

Answers

Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

4 ounces for every 16 ounces. Rate or ratio and in simplest form

Answers

4 for 16 would be written as 4/16.

Dividing both numbers by 4 it is simplified to 1/4

4 ounces for every 16 ounces can be written as:

\(\displaystyle \frac{4}{16} =\frac{1}{4}\)

As a ratio, it can be expressed as:

\(1:4\)

9, 14, 12,17,15, 20,18
what is the rule for the following pattern?

Answers

Add 5 then subtract 2 on the next number

need help asapppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

need help asapppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

You would do 5^2•3.14
Which would equal 78.5
So D is ur answer

A package weighs 80 ounces. What is the weight of the package in pounds?

Answers

Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

0.0625 x 80 = 5

what is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5​

Answers

Answer:

6%, 1/2, 0.6, 6/5

Step-by-step explanation:

Answer:

6%, 1/2, 0.6, 6/5

Step-by-step explanation:

you can convert all of these to fractions over a 100 to compare them. 6 percent is 6/100, 1/2 is 50/100, .6 is 60/100, and 6/5 is 125/100

Only a very small (<5) percentage of measurements can be more than 2 standard deviations from the mean of the normal distribution.
A. True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

The empirical rule in statistics states that:

68% of the data will be within 1 standard deviation95% of the data will be within 2 standard deviations99.7% of the data will be within 3 standard deviations

So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.

Answer:

The answer is true

Step-by-step explanation:

True

Two partners buy a monster truck. One of them pays 3/5 of the price which is $7,800. What is the total cost of the monster truck?

Answers

Answer:

$13,000

Step-by-step explanation:

3/5 x T = 7800

T = 7800 x 5/3

  = 2600 x 5

  = $13,000

BRAINLIEST.

DUH.

Answer:

13000

Step-by-step explanation:

let the total cost of the truck = x

so, 3/5 of x = $7800

3x/5 = $7800

3x = $7800 × 5

3x = $39000

x = $39000/3

x = $13,000

Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .

Answers

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B

18) Solve for side AC.A) 1.10B) 8.24C) 9.5070C3B

Answers

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

HELP ASAP! (VERY EASY)
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (5, 6), (9, 6), and (5, 3)?

(5, –6)
(5, –3)
(9, –6)
(9, 3)

Answers

The fourth vertex such that it forms a right angle with two adjacent vertices the correct answer is \((9, 3)\)  . Thus, option D is correct.

What is the adjacent vertices?

To create a rectangle, we need to find the fourth vertex such that it forms a right angle with two adjacent vertices. We can use the distance formula to determine the length of each side of the triangle formed by the three given vertices:

The distance between \((5, 6)\) and  \((9, 6)\) is \(4\) units.

The distance between \((5, 6)\) and \((5, 3)\)   is \(3\) units.

The distance between  \((9, 6)\) and  \((5, 3)\) is \(5\) units.

Since the two sides with length 4 units are adjacent and form a right angle, we know that the fourth vertex must be located 3 units below (9, 6) or 3 units above (5, 3). Therefore, the fourth vertex can be either (9, 3) or (5, 9).

However, only  \((9, 3)\) forms a rectangle with the three given vertices, as it is also 5 units away from   \((5, 6)\) and  \(4\) units away from (9, 6), forming a right angle with both.

Therefore, the correct answer is  \((9, 3)\).

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Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s total savings, s, can be determined using this equation, where w represents the number of weeks she saves.

s=18w+38
How many weeks will Caitlyn need to save to reach her goal of $524?

Answers

Answer:

27.88 can be rounded to whatever the question wants you to, coz it needs to be a whole no.---> so I would say 28 weeks, but it depends on what the question asks

Step-by-step explanation:

18w+38= should equal to $540

rephrasing this in a mathematical way would be-

18w+38=$540

18w=$540-38

18w=502

w=502/18

w=27.88

Answer:

The answer is 27. 88 but if this is like a test and not a open end question than the answer is 27 ;)

Help pls show work if needed!!!

Help pls show work if needed!!!

Answers

Answer:

Step-by-step explanation:

y = 85x+90

1 )    85*1 = 85 + 90 = 175

2)    85*2= 170+90= 260

Just keep multiplying 85 times each number and add 90

(I would do it all for more points)

Find the volume of a box that will hold the pizza and the cup of marinara sauce?

Find the volume of a box that will hold the pizza and the cup of marinara sauce?

Answers

Answer: 65.085, unacceptable!!! -

Step-by-step explanation:

seb buys 1 gallon of paint that covers 400 square feet

Answers

The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

How to find the amount of paint ?

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Find the height of the flagpole to the nearest meter.
40
33
20
27

Find the height of the flagpole to the nearest meter. 40332027

Answers

Answer:

40

Step-by-step explanation:

I think 40 because it's to long line

. Write the equation of a line with a slope of 4 passing through the point (3, 1). Write the
equation in slope-intercept form.

Answers

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

(x, y) are any point on the line,m is the slope,and b is the y-intercept.

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

y = 4x - 11

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Hence, the equation is y = 4x - 11.

A regular polygon is shown.

12 sided regular polygon

Determine the measure of one of its angles.

2,160°
1,800°
165°
150°

Answers

The measure of one of its angles is 150°. The correct option is D.

How to calculate the angle?

The value of angles in a polygon is calculated by using the formula:

= (n - 2) × 180°

where n *+ number of sides

This will be illustrated as:

= (n - 2) × 180°

= (12 - 2) × 180°

= 10 × 180°

= 1800°

Since it has 12 sides, the value of each angle will be:

= Total angle / Total sides

= 1800° / 12

= 150°

The angle is 150°.

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Given that log3(z - 1) - logz z = 1+ 3 log3 y, express z in terms of y.

Answers

Answer:

  z = 1 + 9y³

Step-by-step explanation:

It looks like you have ...

  \(\log_3{(z-1)}-\log_z{(z)}=1+3\log_3{(y)}\\\\\log_3{(z-1)}-1=1+\log_3{(y^3)}\\\\\log_3{(z-1)}=2+\log_3{(y^3)}\qquad\text{add 1}\\\\z-1=(3^2)(y^3)\qquad\text{take antilog}\\\\\boxed{z=1+9y^3}\qquad\text{add 1}\)

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Answers

Part a

Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)

Part b

Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)

The box plot represents the weekly salaries (in dollars) of 80 randomly selected employees of a company. The five-number summary that was used to construct this box plot is also below. Approximately how many employees are in each quartile?

Minimum = 475 Q1 = 650 Median = 845 Q3 = 975 Maximum = 2600

The box plot represents the weekly salaries (in dollars) of 80 randomly selected employees of a company.

Answers

The approximate number of employees in each quartile can be found to be 20 employees.

How much of a dataset is in a quartile ?

A quartile is a statistical term that refers to the values that divide a dataset into four equal parts, or quarters. Specifically, there are three quartiles that divide a dataset into four equal parts, each containing 25% of the data.

Given that there were 80 randomly selected employees, the number of employees per quartile would be :

= Number of employees x 25 %

= 80 x 25 %

= 80 x 1 / 4

= 80 / 4

= 20 employees

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please help Im in class

please help Im in class

Answers

Answer:

sorry cant help

Step-by-step explanation:

Answer:

8/10=2nd 3rd =2 4th=3/5

CAN SOMEONE HELP WITH THIS QUESTION?✨

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

The value of \(sin^{-1}\)(- \(\frac{\sqrt{2} }{2}\)) in radians is \(-\frac{\pi }{4}\)

The value of  \(sin^{-1}\)(1) in radians is \(\frac{\pi }{2}\)

The value of  \(sin^{-1}\)(- 1/2) is \(-\frac{\pi }{6}\)

What are trigonometric ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

\(sin^{-1}\)(- \(\frac{\sqrt{2} }{2}\))  is -45 in degress

but \(\pi\) rad = 180°

so that - 45° in rad is \(\pi\) x - 45/180 which is - \(\frac{\pi }{4}\)

\(sin^{-1}\)(1)  = 90°

but \(\pi\) rad = 180°

so that -90° in rad is \(\pi\) x 90/180 which is  \(\frac{\pi }{2}\)

\(sin^{-1}\)(- 1/2) = -30°

but \(\pi\) rad = 180°

so that - 30° in rad is \(\pi\) x - 30/180 which is - \(\frac{\pi }{6}\)

In conclusion then values of the sine inverse of the functions are - \(\frac{\pi }{4}\),  \(\frac{\pi }{2}\), and - \(\frac{\pi }{6}\)

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Solve the equation −96=3(8x)^(5/3).

Answers

Answer:

x= - 1

Step-by-step explanation:

Solve the equation 96=3(8x)^(5/3).

is getting a pear of d rose 772 a bad choice because I'm white

Answers

Answer:

no, what you wear does not define you.

Step-by-step explanation:

8^6 divided by 8 simplified?? :)

Answers

Given: 8^6/8

Answer:32768

Step by step explanation:

To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.Since we have no parenthesis we do exponents firstSince we are dividing we do 8^6-1 divided by 8The value of 8^6 is 262144Now we divide 252144 by 8 which gives us 32768Therefore, our answer is 32768

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A model chair has been designed using a scale 1 inch : 5 inches. The height of the
model chair is 4 inches in length. What would be the actual height of the chair?

Answers

Answer:

20 Inches is the actual height

Step-by-step explanation:

Okay so it means 1 inch = 5 inches. There are 4 inches. 4 x 5 = 20.

Solve:

Picture Below

Solve:Picture Below

Answers

Answer: 8/3 or 2 2/3

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