MATHEMATICS HIGH SCHOOL

A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his math or justification.z – 3 = 11 NEED SOME FAST HELP I HAVE TEN MINS TILL THE TEST IS OVER PLEASE HELP

Answers

Answer 1
Answer: Add +3 to each side and it should then be z=14
Answer 2
Answer:

the answer is D i just took the test

A.

The student mislabeled the work in the second step as "Addition property of equality."

B.

The student improperly applied the addition property of equality in the second step.

C.

The student computed the sums improperly to arrive at an erroneous answer in step 3.

(D.

There is no error. The student's justification is correct.)

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Jana and her friend bought 4 hamburgers, 3 orders of fries, and 2 milk shakes for $3 each. They paid for the food with $20. Which part of the equation represents the total cost of their items? Justify your answer. c = $20 - (4h + 3f + 6) A) $20; They paid $20 for the food. B) (4h + 3f); Find the total cost by adding the price of 4 hamburgers to the price of 3 fries C) 4h + 3f + 6; Find the total cost by adding the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes. D) c = 20 - (4h + 3f + 6); Find the total cost by subtracting the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.
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Select all that apply. Any element can always be identified by its:

atomic mass

number of neutrons

number of protons

atomic number

Answers

I Think it is atomic mass

The vertex of this parabola is at (-2,-3). When the y-value is -2,the x-value is -5. what is the coefficient of the squared expression in the parabola's equation?

Answers

Answer:

It is -3

Step-by-step explanation:

I just missed it and it told me the right answer and the dude before me made me get it wrong. APEX
Hello,

Vertex=(-2,-3)

Equation of the parabola is y=k(x+2)²-3
(-5,-2) is a point of the parabola
==>-2=k(-5+2)²-3==>3-2=k*9==>k=1/9

Equation is y=1/9* (x+2)² -3

The coefficient of the squared expression in the parabola's is 1/9

All sells shirts to fund his college , each shirt costs him $ 12 and he needs to put 50 % marks up . What is the selling price for each shirt ?

Answers

Answer:

$18

Step-by-step explanation:

In order to find what the price after the 50% markup is, me must first divide 12 by 50% so we know how much to add.

12 x 50% = 6

So in order to find our mark up price e must add 6, or 50% to 12.

6 + 12 = 18 so your answer is $18.

Hope this helps!

Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?Which of the following equations could be used to solve the problem?

Answers

value of the coin times number of coins summed up equal total value
so since we have "$2.10 in all"...
0.05n + 0.25q = 2.10

and we are told that there are "four times as many quarters as nickels"
this translates to
q = 4n

0.05n + 0.25q = 2.10
and
q = 4n
are your two equations that could be used to solve this problem


if you would like to know how many nickels and how many quarters there are, plug in q = 4n into the first equation and get
0.05n + 0.25(4n) = 2.10

multiply
0.05n + 1n = 2.10

add like terms
1.05n = 2.10

divide both sides by 1.05
n = 2.10/1.05 = 2

then plug that back into
q = 4n
so
q = 4(2) = 8

therefore you have 
2 nickels
and
8 quarters

Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60 detergent and 40% water in a 5 gallon buckets. To make this he combined some 80/20 mixture with some pure water in each 5 gallon bucket. How much gallons of pure water does Manny add to each 5 gallon bucket.

Answers

Answer:

1.67 gallons

Step-by-step explanation:

Given that:

Original mixture contains 80% detergent and 20% water in a 15 gallon bucket.

New Mixture to contain 60% detergent and 40% water of 5 gallon bucket.

To find:

Volume of Pure water to be added to each 5 gallon bucket to obtain the new mixture.

Solution:

First of all, let us calculate the answer by adding pure water to 15 gallon bucket.

Let the number of gallon of water to be added = x

New volume = (15+x) gallons

Now, let us compare the number of gallons of water in the mixture before and after.

15* 20\% + x = (15+x)* 40\%\n\Rightarrow (3+x)* 5 = (15+x)* 2\n\Rightarrow 15+5x=30+2x\n\Rightarrow 3x=15\n\Rightarrow x =5\ gallons

Therefore, to a 15 gallon bucket (80% detergent and 20% water)of detergent mixture, if we add 5 gallons of pure water , it will become 60% detergent and 40% water.

To a 5 gallon bucket, the number of gallons of water to be added = (5)/(3) =\bold{1.67\ gallons}

The scoop of an excavator holds 27 ft3 of sand. If the capacity of a freight car is 40 tons of sand and we know that 1 ft3 of sand weighs 0.5 tons, how many freight cars can be filled with 120 loads?

Answers

27ft³=x tons
1ft³=0.5 tons

(27cubicfeet)/(x_t_o_n_s) = (1cubic foot)/(0.5 tons)

Cross multiply
1x=13.5tons
x=13.5tons

So one scoop/load carries 13.5 tons of sand. Lets see how many 120 loads can carry.

13.5tons*120loads=1620 tons of sand

Now lets see how freight cars it would take to hold 1620 tons of sand

1620/40=40.5 freight cars

Since you can't have .5 of a freight car, lets round 40.5 up to 41

Answer=41 freight cars

Answer:

40.5

Step-by-step explanation:
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