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2 years ago

What is the solution to this equation? 4x+10+3x=40-3x

Mathematics

1 answer:

eduard2 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

Step 1: combine like terms

On the left side, you can combine 4x and 3x to get 7x and the right side is already simplified

Now we have 7x+10=40-3x

Step 2: subtract 10 from both sides

10-10 = 0 and 40-10 = 30

Now we have 7x = 30-3x

Step 3: Add 3x to both sides

7x +3x = 10x and 30-3x+3x = 30

Now we have 10x =30

Step 4: divide by 10 on both sides

10x/10 = x and 30/10= 3

Therefore, we have x =3

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Answer: D Step-by-step explanation:

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2 years ago

Translate the sentence into an inequality.

Luda [366]

Answer:

5 + c > -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
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Subtraction

Left to Right

Algebra I

Inequalities

Step-by-step explanation:

Step 1: Define

Sum of 5 and c is greater than -22

↓ Identify

Sum = addition

5 + c

Is greater than = inequality

Add them all together:

5 + c > -22

8 0

2 years ago

The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o

Nimfa-mama [501]

Answer: $b(t(h))=135h^2+180h+125$

Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function $b(t)=15t^2-60t+125$ , where t is the temperature of food in degrees Fahrenheit.

The function $t(h)=3h+4$ gives the temperature, t, of the food h hours after being removed from the refrigerator.

Now, the number bacteria in the food in h hours is given by:-

$b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125$

So, The number bacteria in the food in h hours is given by:

$b(t(h))=135h^2+180h+125$

4 0

2 years ago

The present value of $100 to be received 10 years from today, assuming an opportunity cost of 9 percent, is

Alona [7]

An opportunity cost of 9 percent, is $42.

We have given that,

The present value of $100 is to be received 10 years from today,

assuming an opportunity cost of 9 percent,

present value =$100

N=10 years

I/y=9

<h3>What is the formula for the present value?</h3>

PV= FV/(1+r)^n

Where FV is the future value.

Use the given values in the formula we get,

Therefore the correct answer is 42.

To learn more about the present value visit:

brainly.com/question/20813161

#SPJ1

7 0

1 year ago

What is the rational number of 1/8 and 1/4

Lapatulllka [165]

1/8 , ...... , 1/4

1/8 = 2/16
1/4 = 4/16

2/16 , 3/16 , 4/16

I hope I helped please leave thanks

5 0

2 years ago