Mathematics High School

Be sure to SHOW YOUR WORK!!! Tests submitted with no work will be given a ZERO!!! 1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length which is three more than seven times x and the width is four times x minus 2.

a.) What are the dimensions of your mowing plot? Length: ________________ Width:

b.) What is the area of your plot (remember area = length x width)? Area: _

c.) If x = 10 meters, how many square meters is your plot? (show steps)Area: _____________________

2.) Factor by grouping: xy− 4y + 7x − 28

Answers

Answer 1

Step-by-step explanation:

maybe if u add more brainly coins more ppl will come

Related Questions

w(x)=5/6x-3;w(x)=-18

Answers

Answer:

x = -18

Step-by-step explanation:

Step 1: Define

w(x) = 5/6x - 3

w(x) = -18

Step 2: Substitute and Evaluate

-18 = 5/6x - 3

-15 = 5/6x

x = -18

You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?

Answers

Answer:

Step-by-step explanation:

You have to subtract both of the numbers and simplify it.

. If the difference between a number and its reciprocal is 24/5, find the number.

Answers

Answer:

The answer is 5/25 you just switch it

Answer:

number is 5

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , thus

n - [tex]\frac{1}{n}[/tex] = [tex]\frac{24}{5}[/tex]

Multiply through by 5n to clear the fractions

5n² - 5 = 24n ( subtract 24n from both sides )

5n² - 24n - 5 = 0 ← in standard form

(n - 5)(5n + 1) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 5 = 0 ⇒ n = 5

5n + 1 = 0 ⇒ 5n = - 1 ⇒ n = - [tex]\frac{1}{5}[/tex]

However, n > 1 , thus n = 5

That is the number is 5

Explain to Alana why she might not want to blast her boss on social media just yet.

Answers

If she can’t find another job Alana may have to go back to her boss. It is also unprofessional even if she knows she has another job set up.

The product of negative three and a number is equal to the sum of the number and four.

Answers

-3x=x+4

-x

-4x=4

x=-1

x is equal to -1

Answer:

-3x = x + 4

umm yea! this is correct i checked it!

How many solutions to y=2x-3 y=-x+3

Answers

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

What is the slope of the graphed line

Answers

Answer:

3/9 or 1/3

Step-by-step explanation:

change in y over change in x is the slope

youre going up 3 and right 9, so 3/9 which simplifies to 1/3

Marcus jogged all the way around a square Park that has an area of four square miles how many miles total did Marcus jog

Answers

Answer:

1.434 miles

Step-by-step explanation:

if 1.5 miles isnt an option select 1 mile

Graph each system. Tell whether the system has no solution or infinitely many solutions.
x+ 2y= 10
2x + 4y= 10

Answers

Answer:

No solution, they will never meet at any point.

Step-by-step explanation:

Find the midpoint of the line segment joining the points R(-3,3) and S(1,6).
The midpoint is

Answers

Answer:

[tex]Midpoint = ( -1 , 4.5)[/tex]

Step-by-step explanation:

[tex]\frac{-3 + 1}{2}[/tex] [tex],[/tex] [tex]\frac{3+6}{2}[/tex]

[tex]\frac{-2}{ 2}[/tex] [tex],[/tex] [tex]\frac{9}{2}[/tex]

[tex]Midpoint = (-1, 4.5)[/tex]

Hope this helps

plz mark brainliest

The midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).

What is a midpoint?

A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.

The midpoint is calculated by using the formula:- ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2.

Given points are R(-3,3) and S(1,6). The midpoint of the given points are calculated as below:-

M = (-3+1 ) / 2 , ( 3 + 9 ) / 2

M = ( -1,4.5)

Therefore, the midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).

To know more about a midpoint follow

https://brainly.com/question/5566419

#SPJ2

What is the solution to this equation?

2x + 3 = x − 4

Answers

Answer:

x = −7

Step-by-step explanation:

2x + 3 = x − 4

Subtract 3 from both sides of the equation

2x = x −7

Subtract x from both sides of the equation

x = −7

Answer:

X=7

Step-by-step explanation:

Step 1

Having all the

terms on one side of =

Subtract

2 x

from both sides

2 x − 2 x + 3 = 3 x − 2 x − 4

0 + 3 = x − 4

Swap round

x − 4 = 3

Step 2

Have just

on the left of =

Add

to both sides

x − 4 + 4 = 3 + 4

x = 7

What is the distance between the two endpoints in the graph below? If
necessary, round your answer to two decimal places.
(3,5)
O A. 13.46 units
B. 11 units
C. 10 units
66,-6)
D. 14.21 units

Answers

C because it’s rounding to the 11

Answer:

14.21

Step-by-step explanation:

It's actually 14.21 on A p E x

choose the figures that are polygons

Answers

Answer:

I'm pretty sure figure A is the only one correct and also figure D

Write down in terms of n an expression for the nth term of the following sequence 12,10,8,6,4

Answers

Answer:

n-2

Step-by-step explanation:

there is an obvious pattern. Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8. The common difference is -2, so the formula for the nth term is 12-2(n-1).

This can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12.

The 5th term is 14-10=4; the 6th is 14-12=2. And so on. This is the formula The expression for the total number of tiles in the nth term is the sum of the areas of the rectangles, n2 + n(n – 1) + 2, which can be simpli- fied to 2n2 – n + 2. quadratic sequences with visual models these are just examples: The nth odd number is given by the formula 2*n-1.
In linear sequences only, the 'nth-term rule' gives the value of any term in that sequence at position 'n'. It is written as 'xn ± y' where x = the constant difference between term values and y is a particular number. The rule allows you to work out the terms of a sequence. An arithmetic progression is a sequence where each term is a certain number larger than the previous term. The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1.

On the planet Umpt, there are 14 boondins to every 6 totts. If farmer
Coraz has 80 boondins on his elentire farm, how many totts are on the
farm?
No decimals. Use a mixed number if needed.

Answers

Answer:

6720

Step-by-step explanation:

If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?

Answers

Answer:

It's the first one

Step-by-step explanation:

What is the lower quartile? (CAN ANYONE HELP:))

Answers

can u repost this question the picture is just completely black

just a lil some some so please help me

Answers

Answer:

The answer to this is agree . Hope it helps.

HELP ME PLEASE

after you spend this amount time on deductibles, co-payments, and co-insurance for in-network care and services, your health plan pays 100% of the costs of covered benefits

A. co-insurance
B. premium
C. policy
D. max out of pocket

Answers

Answer:

i think its co-insurance

Step-by-step explanation:

the percentage you must pay for care after you've met your deductible

These steps were used to construct the perpendicular bisector of segment DE.
Which statement MUST be true?
PHOTO ABOVE

Answers

Answer:

haha imagine math

Step-by-step explanation:

Answer: MD=ME

Step-by-step explanation:

Those are the only ones that are actually equal to eachother. Plus I hate you to the other person who didn’t answer the question but said “lol imagine math”

Yeah, I'm stupid.
Someone explain cause I'm not understanding

Answers

We can tell that the whole L shaped angle is 90 degrees because it has the little box in the corner. Now, the 90 degree angle is split into two parts with that line coming from the box. Those two parts of the whole 90 degree angle add up to 90 degrees.

90 = 4v + 2 + 9v - 3

Now, let's solve for v. Combine like terms.

90 = 13v - 1

Add 1 to both sides.

91 = 13v

Divide both sides by 13

7 = v

Can someone help me with this? Please-

Answers

Answer:

Step-by-step explanation:

Solve

13x - 15 = 12x + 16

Answers

Answer:

x = 31

Step-by-step explanation:

I will make the explanation easy for you to understand.

Step 1: Subtract 12x from both sides.

13x − 15 − 12x = 12x + 16 − 12x

x − 15 = 16

Step 2: Add 15 to both sides.

x − 15 + 15 = 16 + 15

x = 31

Hope it helps!!!

What represents 60=5 x 12?

Answers

Answer:

multiplication

Step-by-step explanation:

the perimeter of the pentagon below is 63 units. Find the value of x

Answers

Answer:

Step-by-step explanation:

2x+10+11+(x+2)+(3x-2)=63

2(7)+10+11+(7+2)+(3(7)-2)=63

x=7

7 is the value of x

What are sides of a pentagon with different sides ?

If the sides of a pentagon are not equal in measure, it is termed as an irregular pentagon. In this case, the perimeter of the pentagon can be calculated by using the basic formula, Perimeter = sum of its sides.

Given,

side 1 = 2x

side 2 = 10

side 3 = x+2

side 4 = 11

side 5 = 3x-2

Sum of all the sides of the pentagon,

2x+10+(x+2)+11+(3x-2)=63

2x+10+x+2+11+3x-2=63

6x+21=63

6x=63-21

6x=42

x=42/6

x=7

Answers

Answer:

10:15

Step-by-step explanation:

Ivan rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 89 cents for each mile driven. Ivan had to pay $155.79
when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

156 miles

Step-by-step explanation:

155.79-16.95=138.84

138.84/0.89=156

When finding the slope, it is important to identify _____ coordinates.

A. estimated
B. exact
C. any

Answers

Answer:

b the exact coordinates

Approximate the mean of the grouped data for the ages of the residents of a town.
The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18

Answers

Answer:

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

Age Frequency (f) X

0 - 9 30 4.5 135

10 - 19 32 14.5 464

20 - 29 12 24.5 294

30 - 39 20 34.5 690

40 - 49 25 44.5 1112.5

50 - 59 53 54.5 2888.5

60 - 69 49 64.5 3160.5

70 - 79 13 74.5 968.5

80 - 89 8 84.5 676

Total 242 10389

Now, the mean of the frequency distribution is given by the following formula;

Mean =

= = 42.9 ≈ 43 approx.

Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years

The total weight of 15 boxes is 45 pounds. How much would 40 boxes weigh? *

Answers

Answer:

120 pounds

Step-by-step explanation:

15 boxes = 45 pounds

45/15= 3

1 box= 3 pounds

40 x 3 = 120

40 boxes would weigh 120 pounds

hope this helps :)

Answer: 120 lbs.

Explanation: One box weighs 3 pounds (divide 45 by 15). 3 times 40 equals 120. So the total weight is 120 pounds.

Plz mark brainliest:)

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