Final answer:
To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.
Explanation:
To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.
Next, we divide both 56 and 32 by the GCF to find the other factor:
56 ÷ 8 = 7
32 ÷ 8 = 4
Now, we represent the original sum as the product of the GCF and the sum of the results from the division:
56 + 32 = 8 × (7 + 4)
When we simplify the sum inside the parentheses, we get:
8 × 11
Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.
At Cooper High School, jazz band is only offered as a zero-hour (before school) class. Dan has a zero-hour class. Conjecture: Dan is in jazz band. Use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false. A. true; law of detachment B. true; law of syllogism C. false; Dan may be enrolled in a different zero-hour class D. false; Dan can never be in jazz band
PLEASE SHOW WORK
Solve for the formula for the variable x
ax+5=by-10
Write a real world problem for the two step equation 8b+6=38
translate into an equation Find three consecutive even integers whose sum is negative eighteen
Write an addition equation with a positive addend and negative addend and a resulting sum of -8
There are 9cans that can store 45 tennis balls what is the constant of the proportionality for this situation
HELP PLZ 20 POINTS RIGHT ANSWERS ONLY :
Polygons LMNO and L'M'N'O' are shown on the following coordinate grid:
What set of transformations is performed on LMNO to form L'M'N'O'?
Answer:
A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Step-by-step explanation:
i got it right on my exam
can someone help me with this ?
Which number is irrational?
A: 0.277277277...
B:0.333...
C:pie
D:0.7
Answer:
PI or 0.333333333333333333333333333
how may ounces of trail mix are in a bag that weighs 0.681 kilograms?
if y =6.6 when x=9.9, find y when x=6.6
veronica saving money to buy a saddle for her horse that cost $175. she plans to save $10 the first month and then increase the amount she saved by $5 each month after the first month. how many months will it take her to save $175
Suppose a system of equations has fewer equations than variables and you have found a solution to this system of equations. is it possible that your solution is the only one? explain.
A rectangle has an area of 48 cm^2 and a perimeter of 38 cm. what are the dimensions of the rectangle?
We infer from the question that the dimensions of the rectangle, satisfying both the given area of 48 cm² and the given perimeter of 38 cm, are 12 cm x 4 cm.
Explanation:The topic of this question relates to the geometrical concept of rectangles. We know that the area of a rectangle is determined by the formula Area = length * width and the perimeter is given by the formula Perimeter = 2*(length + width). Given that the area is 48 cm² and the perimeter is 38 cm, we can set up the following equations:
Area = length * width = 48Perimeter = 2*(length + width) = 38Since the Perimeter and Area involve both length and width, we use simultaneous equations to solve this. By trial and error or via substitution method, we find that the dimensions satisfying both conditions are: length = 12 cm and width = 4 cm. Therefore, the dimensions of the rectangle are 12 cm x 4 cm.
Learn more about Rectangle Dimensions here:https://brainly.com/question/31677552
#SPJ12
the sum of three numbers is 64. the second number is 3 more than the first. the third number is 11 less than twice the first. find the numbers
A friend eats eats one-fifth of a pizza; you decide to eat half of what was left. How much is left after you eat the pizza?
it would be 2/5 since 1/5 is subtracted from your friend, and you are eating half which would be 2/5 since you have 4/5 now and 2/5 = half of 4/5. (Fun Fact: I cant even eat half a pizza).
geometry problem help
#1 please help fr fr
It's way too blurry for me too. perhaps make one that's clearer so we could answer?
Can someone help me on problem 79
79
a) the multiplier would be 1 - 0.15 = 0.85
b) value = 27,000*0.85^y ( with y being the number of years)
c) y = 5 years
27000 x 0.85^5 = 11980.04
the car will be valued at $11,980.04 after 5 years
Find the exact value for cos π 12 applying sum and difference formulas involving π 3 and π 4 .
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
(√2+√6) / 4
When 5.7 m is divided by 2 s, the quotient is correctly reported as?
To get the correct answer or get the best degree of precision in the results, the answer or the quotient must be reported based on the least amount of decimal points of the given numbers. In this case, the least number of decimal points is zero since we are given the value 2.
So the quotient is:
5.7 / 2 = 3
Answer:
3 m
Do numbers need to be listed in order when determining the arithmetic mean
what is 0.698 rounded to the nearest hundreath
You’ve written your first novel and, like many first-time authors, can’t find a publisher. So you’ve decided to self-publish your book. You need to work out the cost of printing the book. If the cost of printing the novel includes a base cost of $1,550 plus $4 per book, write a function that represents the cost of printing x copies of the book. Type your response here: If you want to cover the printing costs by printing and selling only 50 copies of the book, at what price must you sell the book?
What would be the answer to this question and how would you solve it??
It is #24
the slope is the change in Y over the change in x
x = the first numbers 5 & 10
y = the second numbers 8 & 12
10-5 =5
12-8 = 4
so slope = 4/5
write the equation of a line that is perpendicular to y=3z-2 and that passes through the point (-9,5)
for the expoential function y= ab^x, which of the following value(s) would produce an expoential decay function?
a. 0<b<1
b. a<0
c. b>1
d.b<0
Answer:
its a but what would it be if it was a growth
Step-by-step explanation:
Jamaal studied h hours for a big test. Karla studied one fourth as long. Write an algebraic expression for the length of time Karla studied. Use this expression to determine the length of time that Karla studied if Jamaal studied for 5 hours and 20 minutes.
Andre went hiking near his house.The first trail he hiked on took him 4.5 miles away from his house.The second trail he hiked took him 2.4 miles closer to his house.The third trail took him 1.7 miles further away from his house.After Andre hiked the three trails,how far from his house was he?
Andre is 3.8 miles away from his house after hiking the three trails.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The first trail he hiked on took him 4.5 miles away from his house.
The second trail he hiked took him 2.4 miles closer to his house.
The third trail took him 1.7 miles further away from his house
Here the expression of the given problem and apply the arithmetic operations,
⇒ 4.5 - 2.4 + 1.7
⇒ 2.1 + 1.7
⇒ 3.8
Hence, Andre is 3.8 miles away from his house after hiking the three trails.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.
True
False