Mathematics High School

## Answers

**Answer 1**

Answer:

Step-by-step explanation:

Prove that,

−5(x+8) = −25 then x = -3

−5(x+8) = −25

By distributive property,

-5x - 40 = -25

Adding 40 to both sides, that is, Additive property of equality

-5x - 40 + 40 = -25 + 40

-5x = 15

Divide both sides by -5, that is Division property of equality

-5x / -5 = 15 / -5

x = -3

Hence, x = -3 has been proved

**Answer 2**

**Answer:**

**Statement** **Reason**

1. -5(x+8)=-25 Given

2. −5(x+8) −5=−25/−5 Division Property of Equality

3. X+8=5 Simplifying

4. x+8−8=5−8 Subtraction Property of Equality

5. x=−3 Simplifying

## Related Questions

what points are in the graph equation x+3y=6

### Answers

What graph? There isn’t any graph to reference from

Simplify: sin(pi/2 - x)csc x

### Answers

**Answer:**

I hope this helped!

Yellowstone National Park has an area of about 2.22 million acres. The table shows the estimated park populations for several animals. Find the

population density in animals per acre for each animal. Round your answers to the nearest ten-thousandth.

Grizzly Mule Bighorn

Population 445 20,000 2400 260

Animal

FI

bear

deer

sheep

There are about

grizzly bear(s) per acre.

There are about elk per acre.

There are about

mule deer per acre.

There are about

bighorn sheep per acre.

### Answers

**Answer:**

there are about 0.0002 grizzly bears

there are about 0.0090 elk

there about 0.0011 mule

there are about 0.0001 bighorn sheep.

**Step-by-step explanation:**

its the number of animals divided by the area of the land.

state whether true or felse.

-3/4 is a zero

of 3-4 y

### Answers

**Answer:**

true

**Step-by-step explanation:**

its true because the absuloute value of - 3/4 is 3/4

is 5.787787778 rational or irrational

### Answers

the answer is irrational

That number is rational because it is a real number, it can be turned into a fraction, and it has an opposite.

x – 7 = -2. how do i do this

### Answers

**Answer:**

x= 5

**Step-by-step explanation:**

x – 7 = -2

Add 7 to each side

x – 7+7 = -2+7

x = 5

**Answer:**

**Step-by-step explanation:**

x - 7 = -2

add 7 to both sides

x = 5

Let f = {(-2.4), (-1,2), (0, 0), (1, -2), (2, -5)}

Let g = {(-3, 3), (-1, 1), (0, -3), (1, -4), (3, -6)}

What is g(f(2))?

### Answers

Answer:

The composition is undefined.

Step-by-step explanation:

The output of f of 2 is -5 because -5 is not listed as the input in g of x the function is undefined.

need answer asap please !

### Answers

**Answer:**

4

**Step-by-step explanation:**

3x+4x=7 combine like terms

7x=7 simplify/divide common terms

x=1 solve for x

QR=4x

QR=4

I thought the answer was 8 but oh well... good luck on your questions.

what is the largest of three consecutive integers whose sum is 39?

### Answers

Answer:

Step-by-step explanation:

X }

X+1 }

X+2 }

All of it has to equal 39

Add all the x’a

3x+3=39

-3 -3

3x=36

3. 3

X=12

X+1 =13

X+2 = 14

=14 is the largest

Distributive Property Using GCF

25 + 30

### Answers

Hey there! I'm happy to help!

Let's look at the factors of each of these numbers.

25

1,25

5,5

30

1,30

2,15

3,10

5,6

The greatest common factor between these is 5. Therefore, we divide 25+30 by 5 and put the 5 on the outside.

**5(5+6)**.

This has the same value but it is just written differently.

Have a wonderful day! :D

You have four socks in your drawer, 2 blue and 2 brown. You get up early in the morning while it's dark, reach into your drawer, and grab two socks without looking. What is the probability that the socks are the same color? (Hint: If you take one sock first, what's the probability the second sock matches it?) If instead there are 16 blue and 16 brown socks, what is the probability that the socks you choose are the same color? (Write your answer as a fraction.)

### Answers

**Answer:**

2/16

**Step-by-step explanation:**

dffcbrstsjywjyesyiwtkkykyeey

Simplify to create an equivalent expression.

2−6(−5t+1)

Choose 1 answer:

(Choice A)

A

-30t-4

(Choice B)

B

30t+3

(Choice C)

C

30t-4

(Choice D)

D

-5t-4

### Answers

**Answer:**

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30t - 4}}}}}[/tex]

Choice **C**** **is correct.

**Step-by-step explanation:**

[tex] \sf{2 - 6( - 5t + 1)}[/tex]

Distribute -6 through the parentheses

[tex] \longrightarrow{ \sf{2 + 30t - 6}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \longrightarrow{ \sf{30t - 4}}[/tex]

Hope I helped!

Best regards! :D

Joann has a jug containing 128 ounces of milk. She drinks 14 ounces of milk each day. Enter the function f(x) that represents the amount of milk remaining in the jug after x days.

Use the on-screen keyboard to enter the function in the box below.

f(x) =>

### Answers

**Answer:**

[tex]f(x)=128-14x[/tex]

**Step-by-step explanation:**

So, we started out with 128 ounces of milk.

Each day, Joann drinks 14 ounces of milk.

Therefore, the amount of milk left over after x days is 14 times x subtracted from 128.

Therefore, our function is:

[tex]f(x)=128-14x[/tex]

And we're done!

what sets of numbers does 3.18 belong to

### Answers

**Answer:**

3.18 is a Rational Number

**Answer:**

Rational Numbers

**Step-by-step explanation:**

3.18 belongs to rational numbers since it is able to be written as a fraction.

If f(x) = -x – 5 and g(x) = x2 – 15,

find f(-9) – 9(-3).

Your aſswer

### Answers

**Answer:**

31

**Step-by-step explanation:**

f(-9) = -(-9)-5

= 9-5

= 4

f(-9) - 9(-3) = 4 - (-27)

= 31

2

Select the correct answer.

Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?

ОА.

15 + d = 100

ОВ.

100 + d = 15

Ос.

d x 15 = 100

OD

d x 100 = 15

Reset

Next

Please answer Quick

### Answers

Answer:

It's OC

Step-by-step explanation:

Because what it's asking you is what is the distance he's running in that time.because d stands for the amount of distance covered in a second so you need to multiply the seconds against the distance that he covers in that second to get the 100 m that he runs in all

3 Caleb claims that when you multiply a number by 10, you can just write a 0 at the right end of the number. Caleb gives the example 6 x 10 to prove his claim always true. Noah does not agree with Caleb. He gives the example 0.6 x 10 to prove that Caleb's claim is not always true Who is correct? Explain your answer.

### Answers

Answer:

They are both correct

Step-by-step explanation:

It's interpretation of the concept. In common practice multiplying by 10 means you add a zero and that's what we teach 10 year olds. But what does adding a zero mean? It means adding a place value and that's what you learn when you are

So in both examples just add a decimal:

2.0 x 10 = 20.

0.2 x 10 = 2.0

In conclusion, it depends on the level of precision required in the discussion and the level of maturity as to who is correct in their examples. If you are teaching 3rd graders math, by all means you add a zero. If you are discussing physics you are shifting over a place value.

need the answer to: 144 = -12(x+5) x =

### Answers

**Answer:**

x = -17

**Step-by-step explanation:**

144 = -12(x + 5)

distribute the -12

144 = -12x - 60

add 60 to both sides

204 = -12x

divide by -12

-17 = x

my question

define the following terms.

parallel lines

please fast

### Answers

**Answer:**

In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.

**Step-by-step explanation:**

Steve has a 70% chance of winning a game of darts. If he plays 4 games, what is the

probability that he wins exactly 3 game?

### Answers

0.7 x0.7 x07=0.343= 34.3%

Enter the number below in two other forms. Thirty thousand, five hundred eleven The number can be written in expanded form as The number can also be written in standard form as

### Answers

Answer:

a) In Expanded form = 30,511

b) In Standard form = 3.0511 × 10⁴

Step-by-step explanation:

We are given this number in words = Thirty thousand, five hundred eleven

a) Writing in Expanded form =

Thirty thousand + Five hundred + Eleven

= 30,000 + 500 + 11

= 30,511

b) Writing in Standard form = This mean writing a given number as an exponential or exponent of 10

We are given the number : Thirty thousand, five hundred eleven = 30,511

30,511 in standard form = 3.0511 × 10⁴

Convert 42 square yards

to square feet.

### Answers

**Answer:**

378 sq feet

**Step-by-step explanation:**

Which of the following represents "the square of the sum of a number and 4 is 36"?

### Answers

**Answer:**

It's "the square of THE SUM", so you're adding things together, then squaring the result. So it's (x+4)^2 = 36.

**Answer:**

x2 + 42 = 36 x2 + 4 = 36 (x + 4)2 = 36

An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water what is the probability of getting a drink that does not contain fruit juice

### Answers

**Answer: **[tex]\dfrac{3}{8}[/tex]

**Step-by-step explanation:**

Given: An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water**.**

Total drinks= 10+15+15 = 40 (Total outcomes)

Number of drink that does not contain fruit juice = Number of bottles of water = 15 (Favorable outcomes)

The probability of getting a drink that does not contain fruit juice = [tex]\dfrac{Favorable\ outxcomes}{Total\ outcomes}[/tex]

[tex]=\dfrac{15}{40}\\\\=\dfrac{3}{8}[/tex]

So, the required probability = [tex]\dfrac{3}{8}[/tex] .

The length of the 2 black rods is equal to that of the 3 grey rods. The length of the white rod is equal to the total length of the 2 black and 3 grey rods as shown in the figure.

Therefore the length of the grey rod is ______ the length of the white rod.

Which of these can come in the blank above?

a)/

b) /

c) /

d) /3

Help❤️^^

### Answers

**Answer:**

**Length of grey rod is **[tex]\frac{1}{4}[/tex]**th of the white rod.**

**Step-by-step explanation:**

Let the length of each black rod = b units

Length of 2 black rods = 2b

Length of each grey rod will be = g units

Length of 3 grey rods = 3g

Since, length of 2 black rods = length of 3 grey rods

2b = 3g ----- (1)

Length white rod = Length of 2 black rods + Length of 3 grey rods

w = 2b + 3g

From the equation (1),

w = 2b + 2b

= 4b

b = [tex]\frac{w}{4}[/tex]

Therefore, **length of grey rod is **[tex]\frac{1}{4}[/tex]**th of the white rod .**

Mike travels 1/3 of mile in 1/8 of an hour. At this rate, how many miles can Mike travel in an hour? (Use RACE to answer)

### Answers

**Answer:**

8/3 miles

**Step-by-step explanation:**

multipy 1/3 by 8 because its an eight of an hour

Which table represents a liner function

### Answers

Do you have the tables so I can help

Question 1(Multiple Choice Worth 4 points) Which expression is equivalent to g-m=g"? Og-m+n Og mn Og-m-n Og-m+n

### Answers

**Answer: g-m-n**

**Step-by-step explanation: g^{-m} ÷ g^n **

**g-^m/g-n**

A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute. What is the angular

speed in radians per hour?

2700n rad/1 hr

97200n rad/1 hr

5400n rad/1 hr

90n rad/1 hr

### Answers

**Answer:**

5400π rad/1 hr

**Step-by-step explanation:**

The angular speed is used to measure the speed of an object in rotational motion. The angular speed is the ratio of the distance traveled by the object in radian to the time taken in seconds, hence its unit is in rad/s.

Given that the angular speed = 45 revolutions per minute

1 rev = 2π rad

1 min = 1/60 hr

Hence:

Angular speed = [tex]\frac{45\ rev*\frac{2\pi \ rad}{1 \ rev} }{1\ min*\frac{1\ hr}{60\ min} }=\frac{90\pi\ rad*60}{1\ hr} = \frac{5400\pi \ rad}{1\ hr}[/tex]

The angular speed in rad/hr = 5400π rad/1 hr

Fractional Equations Help with steps

### Answers

**Answer:**

see explanation

**Step-by-step explanation:**

(e)

[tex]\frac{2x-1}{3}[/tex] - [tex]\frac{3x-1}{4}[/tex] = 1

Multiply through by 12 to clear the fractions

4(2x - 1) - 3(3x - 1) = 12 ← distribute parenthesis and simplify

8x - 4 - 9x + 3 = 12

- x - 1 = 12 ( add 1 to both sides )

- x = 13 ( multiply both sides by - 1 )

x = - 13

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

(f)

[tex]\frac{3m}{4}[/tex] - 5 = 24 ( add 5 to both sides )

[tex]\frac{3m}{4}[/tex] = 29 ( multiply both sides by 4 )

3m = 116 ( divide both sides by 3 )

m = [tex]\frac{116}{3}[/tex]

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

(g)

[tex]\frac{5(y+2)}{2}[/tex] - [tex]\frac{4(y+1)}{3}[/tex] = 3

Multiply through by 6 to clear the fractions

15(y + 2) - 8(y + 1) = 18 ← distribute parenthesis and simplify

15y + 30 - 8y - 8 = 18

7y + 22 = 18 ( subtract 22 from both sides )

7y = - 4 ( divide both sides by 7 )

y = - [tex]\frac{4}{7}[/tex]