Mathematics High School

Question 4 options:
The area of a rectangle is 65 square inches.

The length is x + 5, and the width is x – 3.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

Answer 1

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

[tex]A = LW[/tex]

Substituting the values, we have:

[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]

x = 8 or x = -10

For the length:

when x = 8

[tex]Length = 8 +5[/tex]

Length = 13 inches.

For the width:

when x = 8

[tex]Length = 8 -3[/tex]

Length = 5 inches.

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Related Questions

Explain why a step in solving the equation 4n= -36 is to divide both sides by 4. Then solve the equation

Answers

The correct value of ''n'' in this equation will be -9

Step-by-step explanation:

In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:

Resolution:

[tex]\large \sf 4n= -36[/tex]

[tex]\large \sf n= -36\div4[/tex]

[tex]\large \sf n= \dfrac{-36}{4}[/tex]

[tex]\boxed{\boxed{{\large \sf n=-9}}}[/tex]

So we can conclude that the value of ''n'' in this equation will be -9

PLEASE HELP EMERGENCY what is the solution to the equation ^3 square root 2x+5 =5

Answers

Answer:

60

Step-by-step explanation:

[tex] \sqrt[3]{2x + 5} = 5 \\ (\sqrt[3]{2x + 5} = 5) ^{3} \\ 2x + 5 = 125 \\ 2x = 120 \\ x = 60[/tex]

Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0

Leave your answer in the form y=mx+c

Answers

Answer:

y=-3x+5

Step-by-step explanation:

it parallel to 3x+y+2=0 => line is: 3x+y+c=0

It through (3;-4) => 3(3)+(-4)+c=0 <=> c=-5

Line is 3x+y-5=0 => y=-3x+5

Answer:

Since it’s parallel to 3x+y+2=0 then it must be of the form 3x+y+k=0. Since (3,-4) is on the line we have 0=3*3-4+k=k+5, therefore k=-5 and the equation is 3x+y-5=0

In the form y=mx+c this becomes y=-3x+5

use the GCF to factor 16+6

Answers

Answer:

2 x (8 + 3)

Step-by-step explanation:

b) 16 + 6 = 2 x (8 + 3)

=> 22 = 2(11)

=> 22 = 22

Therefore, 2 x (8 + 3) is your answer.

Jessie typed the first 300 words of her essay in 12 minutes. Then she got tired and
typed the remaining 300 words in 15 minutes. What was the average speed of Jessie's
typing?

Answers

Answer:

whats 12x15

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

300/12 = 25

300/15 = 20

25 and 20 average = 22.5


pls help! i will mark you brainliest !

Answers

Answer:

24

Step-by-step explanation:

What is square root of 27/4 to the nearest interger

Answers

[tex] \sqrt{ \frac{27}{4} } = \frac{ \sqrt{27} }{ \sqrt{4} } = \frac{ \sqrt{3 \times 2} }{ \sqrt{ {2}^{2} } } = \frac{3 \sqrt{3} }{2} = \frac{3}{2} \sqrt{3} \\ [/tex]

- BRAINLIEST answerer

what is the eqausion for 45 to 78

Answers

Answer:

23?

Step-by-step explanation:

78 minus 45 equals 23

This is the only reasonable answer I can decipher from your question.

What is the solution to the system of equations?



y = 2x -1



y = -x +5

Answers

x= −2 and y=3

I can't explain this very well, sorry.

The solution is:

x= 4/3

y= 11/3.

Step by step: (substitution)



2x+1=-x+5

Add x to both sides.


3x+1=5.

Subtract 1.

3x=4.

Divide by 3.


x=4/3.

Use 4/3 instead of x to find y.

y=-(4/3)+5

y= 11/3.

Hope this helped!! :)

PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT

Jessica plants a seed 3 1/2
inches below the ground. The plant grows from there 15 3/4
inches. What is the height of the plant above the ground?

12 1/4 inches
19 3/4 inches
18 2/3 inches
13 1/2 inches


Answers

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

[tex]12^1/_4[/tex] [tex]inches[/tex]

Step-by-step explanation:

We can make this an equation

[tex]-3 ^1/_{2}+15^3/_4[/tex]

We can make them the same denominator by looking for the GCF which we get as 2

Now we have

[tex]-3 ^2/_{4}+15^3/_4[/tex]

Do the equation and we get

[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer


In Jamal's county, there are
60 farms that cover about 8,370 acres of land.
If the farms are all approximately the same
size, how many acres is each farm?

Answers

Answer:

139.5

Step-by-step explanation:

8370/60

=139.5 per farm

The number of acres is each farm is 139.5 acres

Given that, 60 farms that cover about 8,370 acres of land.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number acres is each farm = Total number of acres/Number of farms

= 8,370/60

= 139.5 acres

Therefore, the number of acres is each farm is 139.5 acres

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Find the measure of each angle indicated.

Answers

Answer:

alot of 5

Step-by-step explanation:

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

Answers

Answer:

9

Step-by-step explanation:

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

if a + 5 = 14 just subtract 5 from 14

a + 5 = 14

a = 14 - 5

a = 9

------------check

9+5=14

14=14

the answer is good

If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?

Answers

5 times

6 sided die, and you have to roll a one
It’s a 1/6 chance

1/6 out of 30 is 5

find the value of x.
View picture for full problem. Please and thank you!
m<2 = 6x + 12.

Answers

Answer:

x = 8

Step-by-step explanation:

All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each

6x + 12 = 60

6x = 60 - 12

6x = 48

x = 48/6

x = 8

Graph: y < 1/3x+1/2 can someone graph this on a actual graph for me

Answers

Answer:

here you go

Step-by-step explanation:

i have added y < 1/3x+1/2  --> this shows more of range so i also attached what  y = 1/3x+1/2 would look like

next time use this -

search up: desmos graphing calculator

WILL MARK BRAINLEST IF CORRECT HELP ME OUT

Answers

Answer:

x = 12

Step-by-step explanation:

Equation:    0.52(x) + 0.72(4) = 0.57(x + 4)

0.52(x) + 0.72(4) = 0.57(x + 4)             [tex]\longmapsto[/tex]         Multiply

0.52x + 2.88 = 0.57x + 2.28               [tex]\longmapsto[/tex]         Subtract 0.52x from both sides

2.88 = 0.05x + 2.28                            [tex]\longmapsto[/tex]         Subtract 2.28 from both sides

0.6 = 0.05x                                          [tex]\longmapsto[/tex]        Divide all sides by 0.05

 

x = 12

-Chetan K

5. How is each centimeter on a ruler further divided?

tenths

fourths

sixteenths

O eighths.

Answers

Centimeters is divided into Tenths

Joseph is pouring concrete for his new patio. The area of the patio is 25.2 square feet
and the length is 7.2 feet. What is the width, w, of his patio?

Answers

Answer:

3.5ft

Step-by-step explanation:

A = L(W)

25.2 = 7.2(W)

3.5 = W

what is the formula for surface area of a pyramid?

what is the forumla for surface area of a square ​

Answers

for pysamid is ph+B2

hope it helps

Find the missing side.
09
9.5
10
C
7 cm
10.6
8 cm
HELP PLEASE

Answers

Answer:a

Step-by-step explanation:

i know

An operation is defined as p*q=-5q+p2 evaluate. 2*(7*3)

Answers

Answer:

- 166

Step-by-step explanation:

First step is to evaluate 7*3

7*3 ( with p = 7 and q = 3 )

= - 5(3) + 7²

= - 15 + 49

= 34

Now evaluate

2*34 ( with p = 2 and q = 34 )

= - 5(34) + 2²

= - 170 + 4

= - 166

What is the equation in point-slope form of the line that passes through the point (1, −1) and has a slope of 4?

Answers

Step-by-step explanation:

the general point-slope form is

y - y1 = m(x - x1)

m is the slope.

x1 and y1 are the point coordinates.

so,

y - -1 = 4(x - 1)

and simplified

y + 1 = 4(x - 1)

−5 + 6 × 5/2 + 56 ÷ ( −8 )

Answers

Answer:

3

Step-by-step explanation:

Someone help me with this questions pleaseee

Answers

Answer:

i think its b, 4cm

Step-by-step explanation:

How will knowing the value for the best measure of center for the heights of the adult males help Nancy determine whether she can send the same distributions of sizes to each country for the men’s clothing line or will need to adjust the distributions she sends?

Answers

The best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers

What is mean of the data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The mean of the data is the center tendency and includes the outlines.

The value for the best measure of center for the heights of the adult males help can help Nancy in two ways:

She can send the same distributions of sizes to each country for the men’s clothing line She needs to adjust the distributions she sends.

Here, when Nancy uses the mean of the data of height, she also measures the outliers. This affect the calculation of her. With the best measure of center, help her to deter line the size.

Thus, the best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers.

Learn more about the mean here;

https://brainly.com/question/14532771

#SPJ1

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster?

Answers

Answer:

your friend is faster.

Step-by-step explanation:

2 km in 12 min means 3 km in 18 min.

you friend jogs those same 3 km in 16.5 min, so he or she is faster.

4.It is your first day on the job. Your supervisor asks you to distribute materials to three job sites. She asks you to take the following to each site: How much of each material do you load on the truck?

Answers

Answer:

27 boxes of nails, 26 boxes of drywall, 46 rolls of insulation, 30 bags of mortar mix

Step-by-step explanation:

Boxes of nails = 4 + 13 + 10 = 27

Boxes of drywall = 6 + 9 + 11 = 26

Rolls of insulation = 18 + 23 + 5 = 46

Bags of mortar mix = 12 + 4 + 14 = 30

" Draw three lines with slope 2, and three lines with slope 1/3. What do you notice "

Answers

Answer:

Step-by-step explanation:

1.

all the lines with slope 2 are parallel with each-other

all the lines with slope 1/3 are parallel with each-other

2.

all lines have positive slope so they go upward from left to right

3.

slope 2 is steeper then slope 1/3

4.

the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2

A parallelogram has an angle whose measure is 4 times the measure of
another angle of the parallelogram. What are the measures of the angles
of the parallelogram?

Answers

Answer:

The measures are 36 and 144 and similarly 36 and 144

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