MATHEMATICS
HIGH SCHOOL

Answer: (22+9)-(18/2)...

31-9...

22

31-9...

22

Answer: 18/2=9

22+9= 31

31-9= 22 So you're answer is 22

22+9= 31

31-9= 22 So you're answer is 22

COLLEGE

A candy store sells chocolate-covered almonds for $7.50 per pound and chocolate-covered peanuts for $5.00 per pound. The manager decides to make a bridge mix that combines the almonds with the peanuts. She wants the bridge mix to sell for $7.00 per pound, and there should be no loss in revenue from selling the bridge mix rather than the almonds and peanuts alone. How many pounds of chocolate-covered almonds and how many pounds of chocolate-covered peanuts are required to create 65 pounds of bridge mix?

Answer:

32.5 lbs

Step-by-step explanation:

so divide 65 by 2 which will give you 32.5 it's eveny in half

MIDDLE SCHOOL

Given f(x) = 9, find x if f(x) = -3x – 3.

Question:

Solution:

When is equal to 9 that means is equal to 9 too which you can solve by:

Answer:

Check:

Hope this was helpful.

HIGH SCHOOL

Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power

The correct answer is:

the eighth root of 2 to the fifth power .

Explanation:

What we have is:

Using the rules of exponents, we know that when we divide powers with the same base, we subtract the exponents. The base of each exponent is 2, so we subtract:

7/8 - 1/4

We find a common denominator. The smallest thing that both 8 and 2 will evenly divide into is 8:

7/8 - 2/8 = 5/8

This gives us:

When rewriting rational exponents as radicals, the denominator is the root and the numerator is the power. This means that 8 is the root and 5 is the power, which gives us:

,

or in words, the eighth root of 2 to the fifth power.

A. 2^(7/8) / 2^(1/4) = 2^(7/8) / 2^(2/8) = 2^(5/8)B. ( 2^(1/8) ) 5 = 2^(5/8)C. 2^(8/5)D. 2^(5/8)E. ( 2^(5/8) )^(1/2) = 2^(5/16)F. ( 2^6 )^(1/4) = 2^(6/4) = 2^(1/3)

MIDDLE SCHOOL

The area of a rectangular parking lot is 4982 m^2 if the width of the parking lot is 53m, what is it’s length of the parking lot?

Answer:

92.3 m

Step-by-step explanation:

Area of rectangle = (length)(width)

4982 = (length)(53)

Length =

Length = 92.3 m (3 sf)

COLLEGE

A large tank holds 400 gallons of salt water. A salt water solution with concentration 2 lb/gal is being pumped into the tank at a rate of 3 gal/min. The tank is simultaneously being emptied at a rate of 1 gal/min. If 100 pounds of salt was dissolved in the tank initially, how much salt is in the tank after 250 minutes?

Answer:

So the tank contains 1866.67 lbs of salt after 250 minutes.

Step-by-step explanation:

The tank salt concentration at any moment is given as

Now the rate of change of concentration is given as

Here

SC_in is given as 2 lb/gal

FR_in is given as 3 gal/min

SC_tank is given in above equation

FR_out is given as 1 gal/min

Putting all in the equation gives

Multiplying by the integrating factor of on both sides

Integrating both sides with respect to t gives

For the initial condition Q(0)=100 lbs so the equation is given as

So the equation is

Solving for the t=250

MIDDLE SCHOOL

Find the 44th in the following arithmetic sequence 2,3,4,5

Answer:

45

Step-by-step explanation:

The formula is n + 1

So 44 + 1 = 45

HIGH SCHOOL

Darnell rented moving truck.the weight of the empty truck was 7,860 pounds. when darnell filled the truck with his items,it weighed 6 tons.what was the weight in pounds of the items that darnell placed in the truck

The answer is 4140 lbs :D

MIDDLE SCHOOL

Factor completely x2 + 8x - 20

Answer=(x-2) (x+10)

For this it helps if you do a factoring table but since I will not for the sake of not having an image to show you, I will try and explain my answer.

The expression is:

x²+8x-20

In this case, since the x² doesn't have a number before it, we know that the beginning x's are solo, so we have...

(x+?)(x+?)

Now to solve the rest of the expression, we need to find two numbers that when multiplied equal -20 and when added equal 8.

a*b=-20

a+b=8

Lets look at the factor pairs of -20

(-1,20) or (1,-20) or (-2,10) or (2,-10) or (-4,5) or (4,-5)

Of all of these, only one pair have a sum of 8

So we can solve the expression

x²+8x-20=(x-2)(x+10)

For this it helps if you do a factoring table but since I will not for the sake of not having an image to show you, I will try and explain my answer.

The expression is:

x²+8x-20

In this case, since the x² doesn't have a number before it, we know that the beginning x's are solo, so we have...

(x+?)(x+?)

Now to solve the rest of the expression, we need to find two numbers that when multiplied equal -20 and when added equal 8.

a*b=-20

a+b=8

Lets look at the factor pairs of -20

(-1,20) or (1,-20) or (-2,10) or (2,-10) or (-4,5) or (4,-5)

Of all of these, only one pair have a sum of 8

So we can solve the expression

x²+8x-20=(x-2)(x+10)

X-2

Hope this helps!

Vote me brainliest!

Hope this helps!

Vote me brainliest!

MIDDLE SCHOOL

The sum of two trinomials is 6x2 - 5x + 4. If one of the trinomials is 4x2 + 3x - 2, then what is the other trinomial?

Subtract the known trinomial from the total sum:

6x2 - 5x + 4 - 4x2 + 3x - 2 = 2X^2 -8x +6

Answer:

The other trinomial is 2x²- 8x + 6.

Step-by-step explanation:

Consider the provided information.

The sum of two trinomials is 6x² - 5x + 4.

One trinomials is 4x² + 3x - 2,

To find the answer for this problem simply subtract them as shown:

6x² - 5x + 4 - (4x² + 3x - 2)

6x² - 5x + 4 - 4x² - 3x + 2)

Add the like terms.

6x² - 4x²- 5x - 3x + 4 + 2

2x²- 8x + 6

Hence, the other trinomial is 2x²- 8x + 6.