Answer:
32
Step-by-step explanation:
Factorize:
64= 2x2x2x2x2x2
160= 2x2x2x2x2x5
224=2x2x2x2x2x7
If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.
Hope this helps plz hit the crown :D
The greatest common factor of 64,160, and 224 will be 32.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.
Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.
Factorize number 64.
64 = 2x2x2x2x2x2
Factorize the number 160.
160 = 2x2x2x2x2x5
Factorize the number 224.
224 = 2x2x2x2x2x7
The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.
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When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
solve the equation 2(x+2x)=36
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(x + 2x) = 36
Step 2: Solve for x
Combine like terms: 2(3x) = 36Divide both sides by 2: 3x = 18Divide both sides by 3: x = 6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(6 + 2(6)) = 36Multiply: 2(6 + 12) = 36Add: 2(18) = 36Multiply: 36 = 36Here we see that 36 does indeed equal 36.
∴ x = 6 is the solution to the equation.
Answer :
2(x+2x)=36
2x + 4x =36
6x =36 is the answer
Hope it helped
REALLY URGENT!!!!! ANSWER FAST!!!!
Answer:
if am sure it's A
Step-by-step explanation:
Joseph's lunch was 13 dollars without tax, he leaves the water a tip of 17% of the cost, without tax. What is the total cost of the lunch, including the tip, without tax
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Which is the graph of x-y=1
Answer:
here you go! :)
hope it helps!
Step-by-step explanation:
please solve will give brainiest
Step-by-step explanation:
BODMAS
155.5-5.5*20.7
155.5-113.85
=41.65
Answer:
41.65
Step-by-step explanation:
155.5-(5.5*20.7) order of operation
155.5-113.85=
41.65
Simplify this Expression
Answer: = 1
Step-by-step explanation:
PLEASE HELP ME I KNOW ITS A LOT BUT I PUT EXTRA POINTS AND I’LL MARK YOU AS BRANLIEST!!!
Answer:
6.67
66.7%
1.20
337.12
Step-by-step explanation:
95.25*(7/100)
42.12/63.18*100
20. 95*(5/100)
9632*(3.5/100)
An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)
Answer:
The graph will change by simply having an increased slope of 16 instead of 15.
Step-by-step explanation:
For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15. Let x represent the number of books that we have purchased. Then, we can write the following function to represent the cost of this club.
f(x) = 15x + 20
Note, if x = 0, meaning we have no books, then
f(0) = 15(0) + 20
f(0) = 0 + 20
f(0) = 20
Which is the cost of our joining fee. If x = 1, meaning we have 1 book, then
f(1) = 15(1) + 20
f(1) = 15 + 20
f(1) = 35
Which is the cost of our joining fee and 1 book, which matches our graphed function.
Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00"). Then we can modify the slope of our function to reflect this change giving us the new function:
g(x) = 16x + 20
In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.
So the graph will change by simply having an increased slope of 16 instead of 15.
Cheers.
Answer:
The new function will have a steeper slope, so...
Step-by-step explanation:
Le: t x ----> the number of audio books purchased
y ---->the cost of belonging to the club in dollars
case 1 (Originally) :
y = 15x + 20
case 2 ( the cost per audio book goes up by $1.00) :
y= (15+1)x+ 20
y = 16x + 20
The slope of the new function is greater than the slope of the original function
The new function will have a steeper slope:
16 $/ audio book > 15 $/audio book
Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.
Answer:
28 soccer balls.
Step-by-step explanation:
Let there are 7x basketball and 6x soccer balls.
A sports store donates basketballs and soccer balls to the boys and girls club.
The store donates 24 soccer balls.
It means,
6x = 24
x = 4
No of basketballs = 7x
= 7(4)
= 28
Hence, the store denote 28 soccer balls.
convert 3 4/5 into a improper fraction with steps please
Answer:
Step-by-step explanation:
((3×5)+4)/5=
19/5
The improper fraction is 19/5.
We have to convert [tex]3 \dfrac{4}{5}[/tex] it into an improper fraction.
To convert into an improper fraction calculation must be done in a single unit following all the steps given below.
Step1; Write the fraction into simple fractions,[tex]= \dfrac{3 \times 5 + 4}{5}[/tex]
Step2; Solve the following equation.[tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]
Hence, The improper fraction is 19/5.
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Which are the solutions of the inequality − 2x > − 4?
Choose all that apply.
A 2
B 1.5
C 1
D 3.5
E 2.5
F −2
ASAP!!!!!!!
Answer:
B,C&F
Step-by-step explanation:
-2x>-4
multiplied by -1 gives 2x<4
And you devide both sides by 2 you get x<2
The numbers smaller than 2 in your options are 1,1.5 and -2
I’m please help asap due soon
Before a renovation a movie theater had 117 seats after the renovation theater had 173 what is the approximate percentage increase of the number of seats in the theater if necessary round to the nearest 10th in percentage
Answer:
47.86%
Step-by-step explanation:
Total number of seats in a movie theater Before a renovation = 117
Total number of seats in a movie theater after a renovation = 173
We need to find the percentage increase of the number of seats. It can be calcualted as :
[tex]\%=\dfrac{\text{|final number-initial number|}}{\text{initial number}}\times 100\\\\=\dfrac{173-117}{117}\times 100\\\\=47.86\%[/tex]
So, the increase in percentage is 47.86%.
What is the length of AC?
write two numbers that multiply to the value on top and add to the value on the bottom.
Answer:
1 and 19
Step-by-step explanation:
I believe this is a factoring problem.
Example:
If we have the equation x^2-2x-3
We can find two numbers that multiply to -3 that add to -2
The two numbers are -3 and 1
(x-3)(x+1)= So x=3 and x=1
Answer:
1 and 19
Explanation:
1x19=19
1+19=20
Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms where necessary.
Answer:-3/5
Step-by-step explanation:
Rise over run
I have another question:
If triangle GFE~ to triangle ABC, Find FG.
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
3x−x+3−9=6
i cant solve this
Answer:
3x - x + 3 - 9 = 6
3x - x + 3 = 6 +9
2x +3 = 15
2x = 15 - 3
2x = 12
x= 12/2
x= 6
Rules - When the side changes , sign changes .for ex (-9) on changing side (from left to right ) becomes plus 9
The ratio of solid beads to clear beads in a vase is 820. Select all the correct statements that tell if the operations will give an equivalent ratio.
A) Add 2 solid and 2 clear beads.
B) Subtract 8 solid and 6 clear beads.
C) Multiply the number of solid and clear beads by 2.
D) Divide the number of solid and clear beads by 4.
E) Multiply the number of solid and clear beads by 18.
Answer:
C, D and E
Step-by-step explanation:
Given
Represent solid beads with S and clear beads with C
So:
[tex]S:C = 8:20[/tex]
Required
Select operations that give an equivalent ratio
First, we need to get the unit ratio
[tex]S:C = 8:20[/tex]
Divide through by 4
[tex]S:C = 2:5[/tex] -- This means that, after any operation. The equivalent ratio must be 2: 5
Option A: Add 2 to S and 2 to C
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8 + 2 : 20 + 2[/tex]
[tex]S:C = 10 : 22[/tex]
Divide through by 2
[tex]S:C = 5:11[/tex]
Option B: Subtract 8 from S and 6 from C
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8 - 8 : 20 - 6[/tex]
[tex]S:C = 0 : 14[/tex]
Option C: Multiply S and C by 2
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8*2:20*2[/tex]
[tex]S:C = 16:40[/tex]
Divide through by 8
[tex]S:C = 2:5[/tex]
Option D: Divide S and C by 4
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8/2:20/4[/tex]
[tex]S:C = 2:5[/tex]
Option E: Multiply S and C by 18
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8*18:20*18[/tex]
[tex]S:C = 144:360[/tex]
Divide through by 72
[tex]S:C = 144/72:360/72[/tex]
[tex]S:C = 2:5[/tex]
From the calculations above, options C, D and E gave an equivalent of 2:5.
Frenando finished 6/8 of his homework greta finished 6/8 of her homework find a fraction that represent the amount of work that greta finished in a different form but equal to 6/8
Answer:
3/4
Step-by-step explanation:
you can write it in a different form by simplifying. 6/2 = 3. 8/2 = 4 so the answer is 3/4
18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?
8
9
12
10.3
p=2(l+b) =2(3x-3) =6x=48=x=8
Answer: It’s 8
Step-by-step explanation:
Help me I don't know how to find the percent of discount to the nearest percent
Find the percent of discount to the nearest percent.
skateboard: regular price, $24
sale price, $15.50
help. PLEASE.
Answer:8.5
Step-by-step explanation:
Answer:
step one
find the difference between marked price and the selling price, which is 24-15.50=8.5
step two apply the formula which is, difference divided by marked or original price and then multiple by 100
eg (8.5÷24) × 100= 35.4
so now round off to the nearest percent that's 35%
4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED
Answer:
40.17
Step-by-step explanation:
4 ten: 4 × 10 = 40
17 hundredth: 17 × 0.01 = 0.17
4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17
Solve the equation for the indicated variable.
Answer:
Option A
Step-by-step explanation:
[tex]D=3ef^2\\[/tex]
we need to make e the subject of the formula so here goes,
On the right side 3 is being multiplied by ef^2 so when it moves to the left side it will divide
[tex]\frac{D}{3}=ef^2[/tex]
now f^2 is also being multiplied by e on the right side so when it moves to the left side it will divide
[tex]\frac{D}{3f^2}=e\\\\[/tex]
(WORTH 20 POINTS) Please help I don't know how to do this
In your own words, what do the terms sales tax and discount mean? Is a 5 percent sales tax a percent of increase or decrease? What about a 15 percent discount?
lol help-
Answer:
Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps
Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)
Sales Tax = Sales Tax rate * Sale Price.
Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?
Divide the number you wish to add 5% to by 100.
Multiply this new number by 5.
Add the product of the multiplication to your original number.
Enjoy working at 105%!
Ms. McGuirk wants to know if she built her son's new sandbox with a perfect right angle or not? The shorter sides are 15 feet and 8 feet what should the measure of the 3rd side be to make it a perfect right angle?
Answer:
17 feet
Step-by-step explanation:
A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.
The hypotenuse is the largest side of the right angle
The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively
Opposite = 15 feet
Adjacent = 8 feet
Hypotenuse = x feet
Using Pythagoras theorem to solve
Hypotenuse ² = opposite ² + adjacent ²
x² = 15² + 8²
x² = 225 + 64
x² = 289
Find the square root of both sides
√x² = √289
x = 17 feet
The 3rd side is 17 feet
I need help ASAP x-3/8=3/20
Answer:
Step-by-step explanation:
6/8 can be simplified to 3/4. Therefore the answer is C. 20 X 3/4
Answer:
[tex]x=0.525[/tex] or [tex]x=\frac{21}{40}[/tex]
Step-by-step explanation:
Lashonda has bought 18 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answer:
she have feed 26 or 27
Step-by-step explanation:
I am confused it's 26 or27
the bee hummingbird is the smallest bird. it can weigh as little as 2 grams. the largest bird, the ostrich, can weigh as much as 150 kilograms. the hummingbird's weight is what percent of the ostrich weight?
Answer:
1.3%
Step-by-step explanation:
i dont have an explanation