Answer:
21: 7*3
22: 11*2
23: prime
24: 2^3 * 3
25: 5^2
26: 13*2
27: 3^3
28: 2^2*7
29: prime
30: 3*2*5
Make sure the fraction is fully reduced:
3y/13 + 7y/26
Answer:
[tex] \dfrac{y}{2} [/tex]
Step-by-step explanation:
The LCD of 13 and 26 is 26.
[tex] \dfrac{3y}{13} + \dfrac{7y}{26} = [/tex]
[tex] = \dfrac{2 \times 3y}{2 \times 13} + \dfrac{7y}{26} [/tex]
[tex] = \dfrac{6y}{26} + \dfrac{7y}{26} [/tex]
[tex] = \dfrac{13y}{26} [/tex]
[tex] = \dfrac{y}{2} [/tex]
2. Write the number in standard form.
4 ten thousands, 1 thousand, 9 hundreds,
8 tens, and 4 ones
21.1984
The number "4 ten thousands, 1 thousand, 9 hundreds, 8 tens, and 4 ones" written in standard form is 41,984.
To write the number 4 ten thousands, 1 thousand, 9 hundreds, 8 tens, and 4 ones in standard form, we can add up the value of each place:
4 ten thousands = 4 × 10,000 = 40,000
1 thousand = 1 × 1,000 = 1,000
9 hundreds = 9 × 100 = 900
8 tens = 8 × 10 = 80
4 ones = 4
Now, add up these values:
40,000 + 1,000 + 900 + 80 + 4
= 41,984
Therefore, the number "4 ten thousands, 1 thousand, 9 hundreds, 8 tens, and 4 ones" written in standard form is 41,984.
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How do I do the algebra problem 5(b-1)?
Answer:
5b-5
Step-by-step explanation:
When doing these kinds of problems you want to do dributive property which means you multiply whatever number is outside of the (), which is 5, and multiply that by b and 1.
when numbers are outside the () and right next to them without anything like +,-, or a division sign, it means to multiply.
In order to find the answer to this question you will have to simplify using the distributive property.
[tex]5(b-1)[/tex]
Applying the distributive property:
[tex]5b+5\times-1[/tex]
[tex]5\times-1=-5[/tex]
[tex]5b-5[/tex]
Therefore the answer is "5b-5."
Hope this helps.
Andre is helping his father build a toy box for his little brother. The amount of space inside the toy box can be found by multiplying its width, length, and height. Write the amount of space, using an exponent. Then evaluate. The width is 3 ft. The length is 3 ft. The height is 3 ft.
Answer:3^3 (3 to the 3rd power) which is equal to 27 cubic ft.
Step-by-step explanation:
3x3x3=3^3
3^3=27
A plumber charges $80 per hour to complete a job. She also charges an
additional fiat fee of $50 for each job. The total charge for one particular job
was $490. This situation is represented by the equation 80x-50 = 490.
How long did the job take?
Answer:
5.5! Now, you need to know why. The total cost was $490, there is a fee of $50, so subtract the fee from the total cost and you should then divide that by $80 because thats how much it is an hour.
The actual equation should be 80x + 50 = 490, not 80x - 50 = 490. By solving it, we find out that the job took 5.5 hours to complete.
Explanation:The given equation in the problem is incorrect. It should be 80x + 50 = 490, where x represents the number of hours the plumber worked. This equation accounts for the hourly charge (80x) and the upfront flat fee ($50). To solve for x, we begin by isolating it on one side of the equation. We subtract 50 from both sides to get 80x = 440. Then we divide both sides by 80, resulting in x = 5.5. Therefore, the plumber worked for 5.5 hours on this particular job.
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a submarine dives 462 feet beneath the surface. it then climes up 250 feet. what is the depth of the submarine now?
The surface would be 0.
First it dives 462:
0 - 462 = -462 feet,
It then climbs 250:
-462 + 250 = -212
The submarine is at -212 feet. ( 212 feet below the surface.)
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
5 - 2x^2 = -15
5-2x2=-15
Two solutions were found :
x = ± √10 = ± 3.1623
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5-2*x^2-(-15)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(5 - 2x2) - -15 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
20 - 2x2 = -2 • (x2 - 10)
Trying to factor as a Difference of Squares :
3.2 Factoring: x2 - 10
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 10 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Equation at the end of step 3 :
-2 • (x2 - 10) = 0
Step 4 :
Equations which are never true :
4.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : x2-10 = 0
Add 10 to both sides of the equation :
x2 = 10
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 10
The equation has two real solutions
These solutions are x = ± √10 = ± 3.1623
Two solutions were found :
x = ± √10 = ± 3.1623
To solve the equation 5 - 2x^2 = -15 using inverse operations, we need to isolate the variable x on one side of the equation.
1. Start by adding 15 to both sides of the equation to eliminate the constant term on the right side:
5 - 2x^2 + 15 = -15 + 15
20 - 2x^2 = 0
2. Next, divide both sides of the equation by -2 to isolate the x^2 term:
(20 - 2x^2) / -2 = 0 / -2
-10 + x^2 = 0
3. Now, move the constant term to the other side by adding 10 to both sides:
-10 + x^2 + 10 = 0 + 10
x^2 = 10
4. To solve for x, we need to take the square root of both sides of the equation:
√(x^2) = √(10)
x = ±√(10)
To check the solutions, substitute them back into the original equation and see if they make it true:
For x = √(10):
5 - 2(√(10))^2 = -15
5 - 2(10) = -15
5 - 20 = -15
-15 = -15 (True)
For x = -√(10):
5 - 2(-√(10))^2 = -15
5 - 2(10) = -15
5 - 20 = -15
-15 = -15 (True)
So, the solutions to the equation 5 - 2x^2 = -15 are x = √(10) and x = -√(10).
The temperature changed from 7°f at 6pm to -5°f at midnight. What was the difference between the high an low temperatures? Whats was the average change in temperature per hour?
Answer:
Difference between high and low temperatures: 12°F
Average change in temperature per hour: 2°F
Step-by-step explanation:
The difference between high and low temperatures was: 7 - (-5) = 12 (°F)
Midnight is 12am, so 6pm to midnight is 6 hours.
The average change in temperature per hour is: 12 / 6 = 2 (°F)
What is the value of x
What is the value of x?
Applying the triangle sum theorem, the value of x is: A. 28°.
The Triangle Sum TheoremThe triangle sum theorem states that, if all three interior angles in a triangle are added together, it will sum up to 180 degrees.Thus:
x = 180 - 95 - 57
x = 28°
Therefore, applying the triangle sum theorem, the value of x is: A. 28°.
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Answer:
28° or A
Step-by-step explanation:
Let's find x:
What information do we have to help us?
Information:
- Angle 1 = 95°
-Angle 2 = 57°
- Triangle
Using this information, we can solve for x.
A triangles sides all add up to 180°.
That is because it is half of a square and a squares sides all add up to 360°.
Let's make an algebraic equation.
95 + 57 + x = 180
Simplify.
152 + x = 180
Cancel out 152 by subtracting 152 from each number.
152 - 152 = 0
180 - 152 = 28
Plug into the equation.
x = 28°
The value of x is 28°.
That matches choice A.
How do you turn 1/8 into a decimal and a percent
Divide 1 by 8 which is 0.125, for a decimal. Then to turn it into a percent move the decimal 2 places to the right, then add the percent to the end; 12.5%
The fraction 1/8 can be converted into a decimal by dividing the numerator by the denominator, yielding 0.125. This decimal can then be converted into a percent by multiplying by 100, yielding 12.5%.
Explanation:To convert the fraction 1/8 into a decimal and a percent, we need to perform two types of conversions: a fraction-to-decimal conversion and a decimal-to-percent conversion.
First, converting the fraction to a decimal. To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). In this case, that gives us 1 ÷ 8 = 0.125.
Then, converting the decimal to a percent. A decimal can be converted to a percent by multiplying it by 100. So 0.125 * 100 = 12.5%. Therefore, the fraction 1/8 is equal to 0.125 as a decimal and 12.5% as a percentage.
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Plz answer all questions!!! 20 points!!!
Questions:
(question A) What two points are a distance of 5 from -2 on a number line?
(question B) What two points are a distance of 4 from 5 on a number line?
(question C) What two points are a distance of 7 from -1 on a number line?
(question D) What two points are a distance from 3 from 7 on a number line?
(question E) What two points are a distance of 10 from 2 on a number line?
(question F) What two points are a distance of 1 from -5 on a number line?
Answer:
A: -7 and 3
B: 1 and 9
C: -8 and 6
D: 4 and 10
Step-by-step explanation:
you just count the distance as your going:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
......^.........................................^
-7 and 3 are both 5 away from -2
Janice caught three trout when she went fishing .one trout weighted 1.38 pounds ,and the second trout weighted 2.01 pounds,and the third trout weighted 1.2 pounds. How much is the total weight of the fish
Answer:
4.59
Explanation:
1.38 + 2.01 = 3.39
1.2 = 1.20
3.39 + 1.20 = 4.59
on his fifth birthday ,paul was 42 inches tall. on his seventh birthday he was 48inches tall
Answer:
Paul grew 6 inches in 2 years
Step-by-step explanation: he was 42 inches before now he is 48 inches
The number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded. Which statement explains whether −1.5 can be a value in the shaded region? Yes it can, because −1.5 lies to the left of −0.5 Yes it can, because −1.5 lies to the right of −0.5 No it cannot, because −1.5 lies to the left of −0.5 No it cannot, because −1.5 lies to the right of −0.5
Answer:
Option A.
Step-by-step explanation:
Draw a number line from negative 5 to positive 5 with increments of 0.5. Make an empty circle on the first mark to the left of 0. It means mark an open circle at -0.5.
The region to the left of the empty circle is shaded. It means all the points lie on the left side of -0.5 at in the shaded region.
We need to find a statement that explains whether −1.5 can be a value in the shaded region.
Since −1.5 lies to the left of −0.5 , therefore -1.5 is in the shaded region.
Therefore, the correct option is A.
Answer:
C.)
Step-by-step explanation:
You have to use the line graph!
Please try to resist cheating and do the work!
There were some toads in the pond. 3 more jump in. 2 toads jumped out of the pond. There are now 6 toads in the pond. How many toads were in the pond to begin with?
Answer:
5
Step-by-step explanation:
do reverse calculations
we know that we ended with 6
since 2 jumped out we add them back in
6+2 = 8
we remove the toads that jumped in because they are not part of the original group
8-3 = 5
there were 5 toads in the beginning
There were originally 5 toads in the pond. This is determined by reverse calculation of the toads jumping in and out.
Explanation:To solve this math problem you can use a process of reverse calculation. At the end of the toad jumping in and out, there were 6 toads in the pond.
If we take into account the events that happened before we have that 2 toads jumped out so there must have been 8 toads before that(6 + 2).
Further back, 3 toads jumped in which means there must have been 8 - 3 = 5 toads in the pond to begin with.
So, initially, before any of the jumping happened, there were 5 toads in the pond.
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Greta added 3/6 of a cup of sugar to her cake mix then sprinkled 1/6 of a cup of sugar over the top of the finished which fraction represents the total amount of sugar that Greta used for the cake? Express the answer in the lowest terms?
a: 1/6 of a cup
b: 1/3 of a cup
c: 3/6 of a cup
d: 2/3 of a cup
Answer:
D
Step-by-step explanation:
4/6 reduced is d
Chase makes 2 gallons of soup for a dinner party. He serves 10 cups of soup to his guests. How many cups of soup will he have left over?
Answer:
d
Step-by-step explanation:
Answer:
22 cups
Step-by-step explanation:
Answer:
22 Cups of soup Left
Step-by-step explanation:
Given: 2 gallons of soup and 10 cups of soup served to guest.
To find: No. of cups of soup left.
We know that , 1 US Gallon = 16 US cups
⇒ 2 gallon of soup = 2 × 16 = 32 cups of soup
So, Remaining No. of Cups of soup = 32 - 10
= 22
Therefore, 22 Cups of soup Left
4*3-(24divided6)+8=?
Answer:
16
Step-by-step explanation:
Follow the correct order of operations.
4 * 3 - (24 divided 6) + 8 =
Parentheses first.
= 4 * 3 - 4 + 8
Now, the multiplication.
= 12 - 4 + 8
Now additions and subtractions in the order they appear from left to right.
= 8 + 8
= 16
Help help me I need help my mom don’t wanna help me
Answer: 32÷4+3=11
Step-by-step explanation:
24÷3=8
What term describes this polygon?
heptagon
dodecagon
17-gon
12-gon
Step-by-step explanation:
heptagon = 7 sides
dodecagon = 12 sides
heptadecagon = 17 sides
Desiree and her mother went to the movies two times in the month of April. Each time she was charged the student rate of $7.50 while her mother was charged $9.00. How much money did Desiree and her mother spend on movie tickets in April?
Answer:
They spend $33.
Step-by-step explanation:
multiply 7.50x2=15 and multiply 9.00x2=18. Then add 15+18=33.
One side of a triangle is 3 1/3 cm, another side is 2/3 cm shorter than the first side, and the third side is 1 2/3 cm longer than the first side. What is the perimeter of the triangle?
Thanks so much
Good evening ,
_______
Answer:
perimeter = 22/3 cm
____________________
Step-by-step explanation:
Look at the photo below for the details.
:)
Whats a comparison between the value of the 3 in 17,235 and the value of 3 in 17,352?
Answer: The 3 in 17,235 is in the tens digit and the 3 in 17,352 is in the hundreds digit
Please help with this math question graph
Answer:
its the first one
Step-by-step explanation:
is 19 2/9 a integer
Answer:No
Step-by-step explanation: Integers are whole numbers that can be positive or negatives no decimals or fractions.
Joe gets paid $20 per hour for his work as a human billboard and this week with the elections so near he plans to work 10 hours overtime by weeks end the government will have taken out $240 in taxes from his check leaving him a total of $760 how many hours does joe normally work per week
Answer:
100 i think im not sure but i think its 100
Step-by-step explanation:
im not dat good at math either
Simplify each expression. ( 5 v − 4 v 2 − 2 v 4 ) − ( 3 v 3 + 8 v + v 4 )
Answer:
the answer is 0
Step-by-step explanation:
i only have the answer
-32v I did the expression and I got -32v. This is a better answer than the other guy.
Which expressions represent a perfect square monomial and its square root? Check all that apply.
121: 11
4x2, 2x
9x2 – 1; 3x - 1
25x, 5x
49x4; 7,22
Answer: A,B,E
Step-by-step explanation:
Answer:
Option 1,2 and 5 represent a perfect square monomial and its square root.
Step-by-step explanation:
To find : Which expressions represent a perfect square monomial and its square root? Check all that apply.
Solution :
1) 121, 11
As [tex](11)^2=121[/tex]
This expression represents a perfect square monomial and it’s square root.
2) [tex]4x^2,2x[/tex]
As [tex](2x)^2=4x^2[/tex]
This expression represents a perfect square monomial and it’s square root.
3) [tex]9x^2-1,3x-1[/tex]
As [tex](3x-1)^2=9x^2+1-6x[/tex]
This expression does not represents a perfect square monomial and it’s square root.
4) [tex]25x,5x[/tex]
As [tex](5x)^2=25x^2[/tex]
This expression does not represents a perfect square monomial and it’s square root.
5) [tex]49x^4,7x^2[/tex]
As [tex](7x^2)^2=49x^4[/tex]
This expression represents a perfect square monomial and it’s square root.
Therefore, Option 1,2 and 5 represent a perfect square monomial and its square root.
Write the expression 10 + 25 in a different way,
using the commutative law of addition, and show
that both expressions result in the same answer.
32.
Simplify the expression.
-(10)^-2
10^2 -1/10^2
Answer:
Step-by-step explanation:
-(10)^-2 = -1/ 10² = -1/ 100
10² - 1/10² =100 - (-1/100 ) = 100+ 1 /100 = 9999/100