Fractions and percents
what is 5% of 100
5
This is correct because you turn 5 into a decimal and then multiply 0.05 by 100 and it is 5.
x+5=10
5
This is 5 because 10-5 is 5, so 5+5 is 10
(10+52)-9
First you do the part in the parentheses, which is 10+52 which is 35 and then subtract 9 which is 26.
if 5 apples cost 10$, how much does 1 apple cost?
One apple costs 2$ We get this answer by dividing 10 by 5 to get the answer of 2$
A triangle has a Area of 24 and A height of 6.4 what is the Base?
The correct answer is 7.5 the formula for this problem is Area=1/2 B X H. To find the answer you would do 24= 1/2 X B X 6.4. So you do 6.4 divided by 2 which gives you 3.2. Then you do 24/3.2 which is 7.5.
what is 80% of 160
128
Convert 80% to 0.8 then multiply 0.8 by 160
so, 0.8 x 160 = 128
Simplify the expression: 3x+2x-5
5x - 5
This is 5x -5 because combining the terms makes 3x and 2x 5x and add the minus 5 gives 5x - 5
74
2401
This is because it is only 7 x 7 x 7 x 7
Solve for x: 3 over 5= x over 15
X=9 First you cross multiply 3x15 and 5 * X. 3x15 is 45. What you want to do next is divide 45 by what x is being multiplied by. So in this case it would be 45 divided by 5. Which is 9, therefore x=9.
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A triangle has a base of 6 and height of 12
What is the area of this triangle?
The correct answer is 36 because you would do B x H Which is 72 and then divide 72 by 2.
Formula: B X H divided by 2
What is 5/6 X 5/8
Simplify the answer all the way if the answer needs to be simplified.
The correct response is 25/48 because you would multiply the numerator of both fractions by each other and then multiply both denominators to get your answer. So you do 5x5 which equals 25 and the do 6x8 which equals 48. Therefore your answer is 25/48.
Factor the expression: x^2+5x+6
The correct response is (x+2)(x+3)
to factor the expression x^2+5x+6, first indentify two numbers which are 2 and 3. Then,rewrite the expression as (x^2+2x)+(3x+6), factor by grouping to get x(x+2)+3(x+2), and finally factor out the common binomial factor to get (x+2)(x+3).
Where would you put parentheses in this equation to make this equation true
7 + 4 x 4 + 2 = 46
(7+4)
This is because in P.E.M.D.A.S Parentheses go first.(7+4)=11x4=44+2=46
If 4 pencils cost 2$ how much do 7 pencils cost?
7 pencils cost 3.50$
To find out how much 7 pencils cost if 4 pencils cost $2, we can set up a proportion:
Let x be the cost of 7 pencils.
We can set up the proportion 4/2=7/x
Now, we can solve for x:
4x=2x7
4x=14
x=14/4
x=3.50
To find out how much 7 pencils cost if 4 pencils cost $2, we can set up a proportion:
Let x be the cost of 7 pencils.
According to the given information, the cost of 4 pencils is $2.
So, we can set up the proportion 4/2=7/x
now we can solve for x
4x=2x7
4x=14
x=14/4
x=3.5
Therefore, 7 pencils cost $3.50.
Find the volume
⚫=12
⚫=4
⚫=12
The correct response is 576 cubic inches this is because you would multiply 12x12x4 which would give you 576 cubic inches.
What is 1/9+3/5
The correct response is 32/45
Step 1: Convert 1/9 to an equivalent fraction with a denominator of 45 then multiply the numerator and denominator by 5: 1/9 = (1x5)/(9x5) = 5/45
Step 2: Convert 3/5 to an equivalent fraction with a denominator of 45:Multiply the numerator and denominator by 9: 3/5 = (3x9)/(5x9) = 27/45
Step 3: Add the two fractions together:
1/9 + 3/5 = 5/45 + 27/45 = (5+27)/45 = 32/45
Therefore, 1/9 + 3/5 = 32/45.
what is twice a number increased by seven
The correct response is 2x+7. This is because
"Twice a number" translates to 2x because we're multiplying the number (x) by 2. "Increased by 7" means were adding 7 to the result
What are all the steps in P.E.M.D.A.S
Parentheses
exponents
multiplication and division
Addition and subtraction
A recipe requires 2 cups of flour for ever 3 cups of sugar. How much flour is needed for 9 cups of sugar?
6 cups
This is because you would multiply 3x3 to get 9 so you do the same thing for 2x3 which is 6
A triangle has a base and a height
B:14
H:13
The correct answer 91 because you would do 14x13 which would give you 182 and then you would divided 182 by 2 giving you 91
what is 1 4/8 x 2 7/8
The correct response is 4 5/16.
This is because you would convert 1 4/8 and 2 7/8 into improper fractions. In order to do that you would simplify 1 4/8 to 1 1/2 and then multiply the whole number by the denominator and then add the numerator which would give you 3/2. Then you will convert 2 7/8 into a improper fraction as well and you will multiply the whole number 2 by the denominator 8 and then add the numerator which will give you 69/16. Then convert it into a mixed number by dividing 69/16 and then you will get 4 and your reminder will be 5 and you keep the denominator.
Solve for x: 2x-1=7
x=4
The answer is 4 because if you multiply 2x-1 with x being 4 it would be 2x4-1 which is 7 because 2x4=8 and 8-1=7
A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much does the factory pay out for each week?
$54,144
Step 1: 10 x 150= 1,500
Step 2: 88 x 85.50= 7,524
Step 3: 7,524 x 6= 45,144
Step 4: 1,500 x 6 = 9,000
Step 5: 45,144 + 9,000 = 54,144
A map scale states that 1 inch represents 25 miles. How many inches on the map represents a distance of 200 miles?
8 inches because you would find 25 times what equals 200 and that would be 8 miles.
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A rectangular pool has a length of 20 feet and a width of 8 feet. Calculate the area of the pool.
&
A rectangular garden has a length of 15 meters and a width of 10 meter. Calculate the area of problems together.
310ft^2
This is because 20x8=160
and then 15x10=150
remember to add the answers together
150+160=310