Simplify the expression
7(8g+ 9f – 6h)

Answer:

The reason a valid straightedge and compass moves guarantees everyone will produce the same construction is that constructions involving the use of straightedge and compass comprises of a total of five fundamental constructions that are formed with the already constructed points, circles or lines such as the following;

1) Construction of a line that passes through given points

2) Construction of a through a given point and center

3) Creating the point of intersection of two given nonparallel lines

4) Constructing the points of intersection between a line and a circle

5) Constructing the points of intersection of two circles

Due to the limited number of types of construction, following clearly defined steps of construction, ensures that the same construction is produced by everyone

Step-by-step explanation:

Answer:

Leslie has 13 quarters and 23 half-dollars.

Step-by-step explanation:

You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:

x+y=36 (1)

0.25x+0.50y=14.75 (2), where:

x=amount of quarters

y=amount of half-dollars

First, you can isolate x in (1):

x=36-y (3)

Then, you can replace (3) in (2):

0.25(36-y)+0.50y=14.75

9-0.25y+0.50y=14.75

0.25y=5.75

y=5.75/0.25

y=23

Finally, you can replace the value of y in (3) to find the value of x:

x=36-23

x=13

According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.

Answer:

Infinite Number of Solutions

Step-by-step explanation:

[tex]r-10=-(10-r)\\\\r-10=-10+r\\\\r-10+10=-10+10+r\\\\r=r\\\\r-r=r-r\\\\\boxed{0=0}[/tex]

The sides are even. There are an infinite number of solutions.

Answer:

24

Step-by-step explanation:

i just took the test :)

The degree of rotation will be equal to 24°.

It is given that we have a regular 15 sided polygon.

We need to find out the degree of rotation for it.

What is the formula to determine degree of rotation ?

The formula of degree of rotation is given by Degree of rotation = 360° / Number of sides.

As per the question ;

We have a regular 15 sided polygon.

or

No. of sides of regular polygon = 15

We know that ;

Degree of rotation =  360° / Number of sides

⇒ Degree of rotation will be equal to ;

= 360° / 15

= 24°

Thus , the degree of rotation will be equal to 24°.

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Answer:

121.54

Step-by-step explanation:

1580÷13=121 r 7

7 over 13 is 0.538462

rounded off to 2 decimal places:0.54

so 121+0.54

121.54

Answer:

see below

Step-by-step explanation:

3.) How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2

if you worked 6 hours per day for 5 days each week?

-------------------------------------

1. dog walking:

6 hr/day (5 day) x (4 weeks x 3 months) x $30/hour

$10,800 in 3 months

-------------------------------------

2.  private swim instructor

6 hr/day (5 day) x (4 weeks x 3 months) x $20/hour

$7,200 in 3 months

-------------------------------------

3.  sandwich maker

6 hr/day (5 day) x (4 weeks x 3 months) x $16.75/hour

$6,030 in 3 months

Answer:

2,3

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Taking the point at (1, -3) and (3, 0) and getting the rise-over-run will give you the answer. 0 - (-3) = 3 for rise, and 3 - 1 = 2 for run.

Answer:

221/99

Step-by-step explanation:

2.23 repeating equals x

223.23 repeating equal 100x

subtract x from 100x and you get 99x=221

divide by 99 on both sides of the equal sign and you get x=221/99

Answer:

32 square feet

Step-by-step explanation:

From the above question, we know that: for Newman:

8 ft² = 1/4hour

x ft² = 1 hour

We Cross Multiply

8ft² × 1 hour= x ft² × 1/4hour

xft² = 8ft² × 1 hour/1/4 hours

x ft² = 32 ft²

Therefore, Newman installs 32 square feet per hour

Answer:

9912 is the biggest 4 digit number divisible by 24 and 28.

Step-by-step explanation:

Answer:

9812

Step-by-step explanation:

To find it, you start with the prime factors of 24 and 28 to find the lowest common multiple, which is 168.

Any multiple of 168 will also be a multiple of 24 & 28.

I hope it helps you.....

Answer:

[tex]ABC = 130[/tex]

Step-by-step explanation:

Given

[tex]ABC=12x - 110[/tex]

[tex]ABD=3x+40[/tex]

[tex]DBC=2x - 10[/tex]

Required

Determine the measure of ABC --- Missing part of the question

First, we need to determine the value of x

Since, D is an interior of ABC, then

[tex]ABC = ABD + DBC[/tex]

[tex]12x - 110 = 3x + 40 + 2x - 10[/tex]

Collect Like Terms

[tex]12x - 3x - 2x = 110 + 40 - 10[/tex]

[tex]7x = 140[/tex]

Solve for x

[tex]x = 140/7[/tex]

[tex]x = 20[/tex]

Substitute 20 for x in [tex]ABC=12x - 110[/tex]

[tex]ABC = 12 * 20 - 110[/tex]

[tex]ABC = 240 - 110[/tex]

[tex]ABC = 130[/tex]

Answer:

Step-by-step explanation:

(x + 0)/2 = 6

x + 0 = 12

x = 12

(y + 4)/2 = -7

y + 4 = -14

y = -18

(12, -18)

The coordinate of the point S will be (12,-18).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line.

Given that the coordinates of point T are (0,4). The midpoint of ST is (6,-7). The coordinates of the point S will be calculated as below:-

The x-coordinate is calculated as below:-

(x + 0)/2 = 6

x + 0 = 12

x = 12

The y-coordinate is calculated as below:-

(y + 4)/2 = -7

y + 4 = -14

y = -18

Therefore, the coordinate of the point S will be (12,-18).

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Given :

Initial concentration , 240 ppm .

Final concentration , 360 ppm .

To Find :

Percent increase.

Solution :

Percentage increase is given by :

[tex]=\dfrac{Final-Initial}{Initial}\times 100\\\\=\dfrac{360-240}{240}\times 100\\\\=50\%[/tex]

Therefore , percent increase is 50 % .

Hence , this is the required solution .

plan1 = 29.99

plan2 =19.99 + .35m

plan2 > plan1

19.99 + .35m > 29.99

.35m > 29.99-19.99

.35m > 10

m > 10/.35

m > 28.6 minutes

it will cost more if you exceed 28 minutes

Answer: the correct answer would be 35 minutes

Answer: 12.32 for 5 day week or 8.8 for a seven day week

Step-by-step explanation:

2.2 x 28 = 61.6

61.6 divided by 5 is 12.32

divide by seven if its a full week and the answer is 8.8

Answer:

6

Step-by-step explanation:

Start with the number 16

16

• Round to the nearest ten

since 6 is greater or equal to 5 round 1 to 2

20

• Divide by the number in 2 pairs

Divide by 2

10

• Add -5

10 + -5 = 5

• Increase by 1

5+1 = 6

Answer:

6

Step-by-step explanation:

1. 20

2. 10

3. 5

4. 6

Hope this helps! :D

Answer:

statistics, the p-value is the probability of obtaining results as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct. ... A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.

Answer:

5/18

Step-by-step explanation:

first you want to flip 2/5 to 5/2 and change the division sign to multiplication so it would look like 1/9 x 5/2

then multiply 1 and 5 then 9 and 2 so the top and bottom to get 5/18

side note: but if it were 1/9 x 3/7 you would change the 3 to a 1 and the 9 to a 3 because they multiply so ask yourself how many times does three go into 9 so it would be 1/3 x 1/7= 1/21

hope this helped :) also what math are you taking bc if it is under algebra 1 or something i can help with any questions you have just message me and ill be happy to help :)

Answer:

a=h/5

Step-by-step explanation:

h=5a

divide both sides by 5

a=h/5

Answer:

Step-by-step explanation:

5a = h

a = h/5

Answer:

yes

Step-by-step explanation:

948 ÷ 4 = 237

Answer:

yep

Step-by-step explanation:

948/4=237

check: 237x 4=948

Answer:

It decreased in value by $15 a year.

Step-by-step explanation:

I put it in the form of an equation and solved from there.

120/8=x

Answer:

s (t (-7))=?

Step-by-step explana

s (t (-7))=  -7s t

Answer:

1. 30 minutes to walk 9 miles.

2. 33.33 minutes to walk 10 miles.

Step-by-step explanation:

I divided 20 by 6, and got 3.33. If you multiply 3.33 by 9 you get 30, and if you  multiply 3.33 by 10 you get 33.33.

Answer:x= -47

Step-by-step explanation:

-14x-45=613

-14x = 658

x = -47

Answer:

x= -47 i'm sure i did it right but tripple check it for me

Step-by-step explanation:

add 45 to both sides

divide both sides by -14

x= -47

Answer:

irrational

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

If a number is rational it can be expressed in a fraction [tex]\frac{x}{y}[/tex] where x and y are integers.

[tex]6.2=\frac{62}{10} = \frac{31}{5}[/tex]

Since 6.2 can be expressed in a fraction, it is rational.

Answer:

[tex]n = 1230 - 30a[/tex]

Step-by-step explanation:

Given

[tex]3a + 0.1n = 123[/tex]

Required

Solve for n

[tex]3a + 0.1n = 123[/tex]

Subtract 3a from both sides

[tex]3a - 3a + 0.1n = 123 - 3a[/tex]

[tex]0.1n = 123 - 3a[/tex]

Divide through by 0.1

[tex]n = \frac{123 - 3a}{0.1}[/tex]

Split the fraction

[tex]n = \frac{123}{0.1} - \frac{3a}{0.1}[/tex]

[tex]n = 1230 - 30a[/tex]

Answer:

Maggie is 13 years old.

Step-by-step explanation:

1M + 1B = 62

rearrange to get:

1B = 62 - 1M

4M - 3 = 1B

substitute B with 62 - 1M so there is only one variable. this gives:

4M - 3 = 62 - 1M

Get all the variables on one side:

4M + 1M - 3 = 62

Get all non variables on the other side:

4M + 1M = 62 + 3

simplify:

5M = 65

Divide both sides by 5 to get the M by itself:

M = 13.

BONUS:

M + B = 62

B = 49

So her brother is 49 years old.

Maggie is 13 years old.

Answer:

-The graph will increase at a slower rate.

-The y-values will continue to increase as x-increases

hope this helped

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