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3 years ago

I need help finding x! Please show work for both!

Mathematics

2 answers:

Butoxors [25]3 years ago

5 0

Answer:

1. -5

2. -2

Step-by-step explanation:

1. 25-3x=40

-25 -25

-3x=15

/-3 /-3

x=-5

2. 1/3(x-10)=-4

1/3x=-4

x3 x3

x-10=-12

+10 +10

x=-2

Alenkinab [10]3 years ago

4 0

1. Answer x=-5
You would subtract 25 from each side of the equal sign, taking 25 away from 40 and 25 away from 25, isolating the x. So you would then have -3x=15. You would then divide each side by -3, and getting x=-5

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there are 70 people in line for the roller coaster each car holds 8 people. how many cars will it take for everyone to ride at t

arsen [322]

Answer:

9 cars.

Step-by-step explanation:

70 / 8 = 8.75.

8.75 rounds to 9.

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5 0

3 years ago

Y=x^2-2 Input output X Y 1 4 8 10

Nuetrik [128]

Answer: -1, 14, 62, 98

Step-by-step explanation:

Plug each x-value into the equation and solve for y

$\begin{array}{c|l||c}\underline{\quad x\quad}&\underline{x^2-2}&\underline{=\ y}\\1&1^2-2&=-1\\4&4^2-2&=14\\8&8^2-2&=62\\10&10^2-2&=98\end{array}$

7 0

4 years ago

a tank is 4÷5 full of water. after drawing off 190 litees of water,it is just 1÷6 full. what is the capacity of the tank

soldier1979 [14.2K]

Hey there! I'm happy to help!

Let's have the capacity be c. The tank is currently at 4/5c. We subtract 190 and then we are at 1/6c. Let's set this up as an equation and solve it.

4/5c-190=1/6c

We want to get the c all by itself to see the capacity of the tank. Let's get all of the c values on the left side of the equation and the numbers on the right by using inverse operations.

4/5c-190=1/6c

Add 190 to both sides.

4/5c=1/6+190

Subtract 1/6 from both sides.

19/30c=190

Divide both sides by 19/30.

c=300

So, the capacity of the tank is 300 liters of water.

Have a wonderful day and keep on learning! :D

8 0

3 years ago

Write five cubed in all three forms: exponential form, expanded form, and standard form.

AfilCa [17]

Answer:

Exponential form: 5^3

Expanded form: 5*5*5

Standard form: 125

Step-by-step explanation:

The exponential form is when we use the ^ symbol. The base is the number before the ^ and the exponent is the number after the ^. When five is cubed, the base is 5 and the exponent is 3.

Therefore, the exponential form is 5^3. We can also write it with a little 3 on the top right corner of the 5, that is $5^3$ .

On the expanded form we use multiplications. The exponent number tells us how many times to multiply the base number by itself. When 5 is the base and 3 the exponent, we have to multiply 3 times the number 5 by itself. That is 5*5*5.

The standard form is the result of the calculations we wrote before. The easiest way is to get it from the expanded form.

5*5*5 = 25*5 = 125

6 0

3 years ago

A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 3 stocks?

Gala2k [10]

Answer:

There are 27 different possible outcomes.

Step-by-step explanation:

Assuming that you have 3 different stocks:

First, we need to find the number of events and the number of possible outcomes for each event.

Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:

Stock 1: 3 options (up, down, stay)

Stock 2: 3 options (up, down, stay)

Stock 3: 3 options (up, down, stay)

The total number of possible outcomes is equal to the product of the numbers of options for all the events.

Then the total number of possibilities is:

C = 3*3*3 = 27

4 0

3 years ago