GCF and Distributive property of 55 + 88
Final answer:
The GCF of 55 and 88 is 11. Applying the distributive property, 55 + 88 is equal to 143.
Explanation:
The student is asking about the greatest common factor (GCF) and the distributive property of the expression 55 + 88.
To find the GCF, we need to break down the numbers 55 and 88 into their prime factors. The prime factorization of 55 is 5 × 11, and the prime factorization of 88 is 2² × 11. The GCF is the highest common factor between the two prime factorizations, which is 11.
The distributive property states that a × (b + c) = a × b + a × c. Applying this property to the expression 55 + 88, we get 11 × 5 + 11 × 8 = 55 + 88 = 143.
Final answer:
The GCF of 55 and 88 is 11. When we apply the distributive property to 55 and 88, the expression simplifies to 143.
Explanation:
To find the Greatest Common Factor (GCF) of 55 and 88, we can first list the factors of each number:
Factors of 55: 1, 5, 11, 55
Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88
The GCF is the largest factor that both numbers have in common, which in this case is 11.
Now, let's apply the distributive property to the numbers 55 and 88:
55 + 88 = (5 * 11) + (8 * 11)
Using the distributive property, we can simplify this to:
55 + 88 = (5 + 8) * 11
Therefore, the expression 55 + 88 is equal to 13 * 11, which is 143.
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?
one over ten
one over five
two over seven
two over five
Answer:
2/5
Step-by-step explanation:
15 points!
Solve. 1/3r + 1 = −2/3r − 2 Drag and drop the answer into the box.
a. -3
b. -1/3
c. 2/3
d. 18
r = ???
Please help and thanks!
Answer: a -3
Step-by-step explanation:
One day, a king left his castle with a bag of silver coins to wander his kingdom. to the first peasant he met, he gave one-half of the coins plus two more. A little later, he met another peasant to whom he also gave one-half of his coins plus two more. Walking on, he met a third peasant and again gave half his coins plus two more. FInally, the king went home with two coins left in his bag. How many coins did he have to begin with? Create an algebraic equation. Please explain why.
Answer:
The king left his castle with 44 silver coins.
Step-by-step explanation:
A king left his castle with a bag of silver coins and he gave his coins to 3 peasants in an order. Finally he went home with two coins left.
To solve this question we calculate it in reverse order.
Finally the king has in his bag = 2 coins
Before it he met third peasant king had =
= (2+2) × 2
= 4×2 = 8
Before the king met third peasant, he had 8 coins.
Before he met Second peasant king had :
= (8+2) × 2
= 10 × 2 = 20
Before he met second peasant king had 20 coins.
Before he met first peasant he had :
= (20+ 2) × 2
= 22 × 2 = 44
Before King met first peasant he had 44 silver coins.
he Discount Hair Center has a large container of combs. Each purchase qualifies a customer to receive a free comb. The container contains 4 blue combs, 2 purple combs, 8 black combs, 3 white combs, 6 yellow combs, and 5 pink combs.
What is the probability that the next customer will pull out a blue comb?
Evaluate the following expression using the values given:
Find 4x − y − 2z if x = −2, y = 3, and z = −2
−15
15
−7
7
Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego?
Please break this down into parts so i can easily understand this. I take gse algebra 1 in the 8th grade and i'm having trouble with dimensional analysis word problems so I really need help with this one. We also have to use a certain chart that looks like a big fraction we use to solve problems like this, the units cancel out, and we multiply the top and bottom and then divide the top product by the bottom product. Please help. I'll also be giving the brainliest answer.
(0,0), (1,5), (2,20), (3,45), (4,80) what's the rule?
the local store is having a sale on ground beef- $10 for 3 pounds. sylvia needs 12 pounds of meat to make 50 hamburgers. how much will the ground beef for each hamburger cost?
I don't understand this one help me please
What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are drawn on the same piece of paper.
Answer:
11
Step-by-step explanation:
Make a diagram. Two geometric figures intersect if they have one or more points in common. Draw two circles which intersect in points. Draw a line which intersects the two circles in points. Draw another line which intersects the two circles in points and also intersects the first line. There are 11 points of intersection.
4(g - 1 )=24
what is the answer
Tristan bought an orange that weighs 1/5 pound. He cut the orange into 8 slices. How much does each orange slice weigh?
Answer:
1/40 pound
Step-by-step explanation:
The floor of the commons room at King Middle School is in the shape of a square with side lengths of x^2 y^3 feet. New tile is going to be put on the floor of the room. Find the area of the floor.
What is the change in temperature from -8°F to 14°F?
I got stuck on this one
3 please it would really help (4 would give u brainliest)
WHAT IS .115 IN EXPANDED FORM
Solve W=(5/8+7/8)*2*2
Which are partial products for 51 × 36?
Choose all answers that are correct.
A.1 x 6 = 6
B.1 x = 30
C.50 x 6 = 300
D.50 x 3 = 150
What is the slope of a line passing through the points (2, 5) and (0, −4) ? Enter your answer in the box.
Answer:-9/-2
Step-by-step explanation:
m=yz-yz/x2-x1=
-4-5/0-2=
-9/-2
(the / means over, for instance 9-2/8+4 is 9-2 over 8+4)
The slope of the line is the ratio of the rise to the run, or rise divided by the run. 9/2 is the slope of a line passing through the points (2, 5) and (0, −4)
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The given two points are (2, 5) and (0, −4)
The slope of line passing through two points (x1,y1) and (x2,y2) is
m=(y₂-y₁)/(x₂-x₁)
where m is the slope of line.
x₁=2,x₂=0, y₁=5,y₂=-4
Substitute the values of x₁, x₂, y₁ and y₂ in formula of slope
=-4-5/0-2
Minus plus minus we get plus, so add -4 and -5
=-9/-2
The minus on numerator and denominator will be cancelled.
=9/2
Hence slope of a line passing through the points (2, 5) and (0, −4) is 9/2.
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Which of the following is a multiple of 2?
A. 847
B. 75
C. 2,461
D. 1,000
Alec is trying to find the surface area of a shoe box. What unit will he use?
A) cubic feet
B) square feet
C) cubic inches
D) square inches
How much will a person pay for 11.3 pounds of bananas at a price of $2.07 per pound?
A laboratory culture contains 150 bacteria. After twenty minutes, the culture contains 300 bacteria. After one hour, the culture contains 1200 bacteria. Make a conjecture about the rate at which the bacteria increases
The bacteria in your culture appear to be experiencing exponential growth, doubling in population size every 20 minutes. This is common in organisms that reproduce by binary fission like bacteria, but the growth rate can be influenced by various environmental factors.
Explanation:Based on your data, the number of bacteria in your culture seems to double every 20 minutes. This type of growth pattern is known as exponential growth, which is common in prokaryotes and other organisms that reproduce by binary fission.
For example, if you were to start with 1000 bacteria in a nutrient-rich environment, after one hour (or three 20-minute intervals), each bacterial cell would've divided several times, increasing the total population size from 1000 to 8000. This is based on the principle that in exponential growth, the number of new organisms added to the population in each round of division (or generation) increases as the population size increases. This results in a 'J-shaped' growth curve when plotted over time, illustrating the increasing rate of population growth.
However, please note that in reality, bacterial growth is influenced by several factors including nutrient availability and environmental conditions and the growth rate may not remain constant over time. For a more accurate analysis, you could take readings at more frequent intervals and plot a graph of population size versus time to observe the growth pattern.
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What is the missing term in the factorization?
12x^2-75=3(2x+?)(2x-5)
Can anybody help me asap please?
Thank you
232 round to nearest ten
Write two inequalities to compare -9 and -6
The state of South Carolina has 46 counties. Write 46 as a product of primes
Final answer:
The prime factorization of the number 46 is 2 times 23, with 2 and 23 being prime numbers.
Explanation:
To write the number 46 as a product of prime numbers, we need to perform prime factorization. Here is the step-by-step process:
First, find the smallest prime number that divides into 46, which is 2.Divide 46 by 2, which gives us 23.Since 23 is a prime number itself and cannot be divided further by any prime number other than 1 and itself, we stop here.So, the prime factorization of 46 is 2 times 23. This can't be simplified any further as these are both prime numbers.
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