To evaluate expressions using the distributive property, you multiply the term outside the parenthesis by each term inside it separately. This process is carried out for each term, considering the sign rules for multiplication. The result is the sum of these individual products.
Explanation:When using the distributive property to evaluate each expression, we multiply the outer number by each of the terms inside the parenthesis.
For (6+4)(-12), we distribute -12 to both 6 and 4: (-12 × 6) + (-12 × 4) = -72 + -48 = -120.In -6(9-4), we distribute -6 to 9 and -4: (-6 × 9) + (-6 × -4) = -54 + 24 = -30.For 5(-6+4), we distribute 5 to -6 and 4: (5 × -6) + (5 × 4) = -30 + 20 = -10.With 4(8 - 7), we distribute 4 to 8 and -7: (4 × 8) + (4 × -7) = 32 - 28 = 4.Lastly, for (5 - 7)(-3), we distribute -3 to 5 and -7: (-3 × 5) + (-3 × -7) = -15 + 21 = 6.Remember, when multiplying two numbers with similar signs, the result is positive, and when multiplying numbers with opposite signs, the result is negative.
ricardo dog weighs 6 times as much as his cat. the total weight of his two pets is 98 pounds. how much does richard dog weights?
Mr.Jessup , an airline pilot, flies 1,350 miles a day. How many miles will he fly in 8 days?
What is a spiral review of 14-6
What is 3/6 times 2/9
Answer:
its 1/9 with a repeating decimal of 0.11111....
Step-by-step explanation:
The ratio of Joey's Rope to chads rope is 16:6 . Joeys rope is 112 cm long . How long is chads rope ?
To find the length of Chad's rope, the ratio of 16:6 was simplified to 8:3, and using Joey's rope length of 112 cm, we found out that Chad's rope is 42 cm long.
Explanation:The question asks to find out the length of Chad's rope given the ratio of Joey's rope to Chad's rope is 16:6 and Joey's rope is 112 cm long. To solve this, we should first simplify the given ratio to its lowest terms. The ratio can be simplified to 8:3, by dividing both numbers by 2. If Joey's rope is 112 cm (which corresponds to 8 parts of the ratio), then each 'part' of the ratio represents 112 cm divided by 8, which is 14 cm. Since Chad's rope corresponds to 3 parts of this ratio, the length of Chad's rope is 3 times 14 cm, which equals 42 cm.
subtract 7 3/4 - 3 1/8. What's the answer?
There are 40 nickels in every standard coin roll, what is the constant of proportionality
the cost of peanuts varies directly with the number of pounds bought.If 5 pounds costs $7.50, find the cost of 3 pounds.
The cost for 3 pounds of peanuts is found by first determining the cost per pound from the 5 pound price, which is $1.50 per pound. Multiplying this rate by 3 pounds gives us the total cost of $4.50.
If the cost of peanuts varies directly with the number of pounds bought, this means you can find the cost per pound and then use it to calculate the price for any amount of peanuts. Given that 5 pounds costs $7.50, first we calculate the cost per pound:
Cost per pound = Total cost / Number of pounds = $7.50 / 5 pounds = $1.50 per pound.
Now, to find the cost of 3 pounds of peanuts, we multiply the cost per pound by the number of pounds:
Cost of 3 pounds = $1.50 per pound * 3 pounds = $4.50.
Therefore, the cost of 3 pounds of peanuts is $4.50.
a board is 2/3 yard long. Jenna cut the board into pieces that are 1/6 yard long. How many pieces are there?
To determine how many 1/6 yard pieces can be made from a 2/3 yard board, divide 2/3 by 1/6. After multiplying the reciprocal of 1/6, the result is 4, meaning there are 4 pieces of 1/6 yard each.
To find out how many pieces of 1/6 yard can be cut from a 2/3 yard long board, we need to divide the total length of the board by the length of each piece. This is a division of fractions problem.
The calculation is as follows:
Write down the length of the board: 2/3 yard.
Write down the length of each piece: 1/6 yard.
Divide the length of the board by the length of each piece: (2/3) \/ (1/6).
To divide fractions, we multiply by the reciprocal of the second fraction: (2/3) * (6/1).
Multiply the numerators together: 2 * 6 = 12.
Multiply the denominators together: 3 * 1 = 3.
Simplify the fraction: 12/3 = 4.
So, Jenna can cut the board into 4 pieces of 1/6 yard each.
a nonstop flight from Albuquerque NM atlanta ga takes 3 hours. if the plane flies a total of 1269 miles. what is the planes unit rate in miles per hours?
Answer:
D 423
Step-by-step explanation:
1269/3 = 423
If you can answer these problems, I'd highly appreciate it.
1. There is a total of 62 tennis balls. A long tube can hold 5 balls. A short tube can hold 3 balls. How many tubes are there?
2. Find the consecutive numbers whose sum is 465.
I'm awarding 35 points, with a Brainliest Answer.
Lee's paper clip chain is 32 feet long. How is going to add paper clips continually for the next 8 hours. At the end of eight hours, the chain is 80 feet long. Find the unit rate of growth in feet per hour.
Lee's paper clip chain grew at a rate of 6 feet per hour.
Explanation:The question is asking for the rate of growth of Lee's paper clip chain in feet per hour. To find the rate, we need to determine how much the chain grew and over what period of time. We know that the chain started at 32 feet and ended at 80 feet, an increase of 80-32 = 48 feet. This growth took place over 8 hours. The unit rate (or rate of growth) is therefore the growth in feet divided by the time in hours which is 48 feet ÷ 8 hours = 6 feet per hour. So, Lee's paper clip chain grew at a rate of 6 feet per hour.
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Alice makes 2 bunches of balloons.there are the same number of red balloons and the same number of blue balloons in each bunch.did alice use all of the balloons
Answer:
No, she didn't use all of the balloons
Step-by-step explanation:
The following information is missing:
Alice is making balloon bunches from 6 red balloons and 15 blue balloons.
If she makes 2 bunches, there are 6/2 = 3 red balloons in each bunch and 15/2 = 7 (rounded to the lowest integer) blue balloons in each bunch. In this case, there is 1 blue balloon left
A furniture store salesman had $15,200 in total monthly sales last month. He made $912 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
Answer
Find out the what is the salesman's commission as a percent of his total monthly sales.
To prove
Formula
[tex]Percentage = \frac{Part\ value\times100}{Total\ value}[/tex]
As given
A furniture store salesman had $15,200 in total monthly sales last month.
He made $912 in commission from those sales.
Here
Part value = $912
Total value = $15,200
put in the formula
[tex]Percentage = \frac{912\times 100}{15200}[/tex]
solve the above equation
[tex]Percentage = \frac{91200}{15200}[/tex]
Percenatge = 6 %
Therefore the salesman's commission is 6% of his total monthly sales .
what does 693 / 74 equal
Find the gcf of 8x and 22xy
Ricoh buy a video game that usually cost $40 but was on sale for 25% off how much did Rica pay for the video game use UPSc to solve the problem
What is the greatest common factor of 15 and 20?
Lisa has 2.134 buttons that need to be sorted equally into 12 jars.How many buttons will be in each jar?
To find the number of buttons per jar, divide the total number of buttons (2.134) by the number of jars (12). However, the count of 2.134 buttons is likely incorrect as you cannot have a fraction of a button, indicating a potential typo or miscount.
Explanation:The question asks how many buttons will be in each jar if Lisa has to sort 2.134 buttons equally into 12 jars. To find this, we need to divide the total number of buttons by the number of jars.
First, let's set up the division equation: 2.134 buttons ÷ 12 jars = number of buttons per jar.
Now, we calculate the number of buttons per jar: 2.134 ÷ 12 = approximately 0.1778 buttons per jar. However, since we can't have a fraction of a button, Lisa likely made an error in counting, as the number of buttons needs to be a whole number. So, assuming there's a typo, and the actual number of buttons is a whole number, Lisa would need to recount her buttons before sorting them.
Once Lisa has the correct number of whole buttons, she could repeat the division process to find the exact number of buttons per jar.
Each jar will contain approximately 0.1785 buttons.
Explanation:To determine how many buttons will be in each jar, you divide the total number of buttons (2.134) by the number of jars (12). The calculation is as follows: [tex]\( \frac{2.134}{12} \approx 0.1785 \)[/tex]. Therefore, each jar will contain approximately 0.1785 buttons.
In this scenario, the division represents the distribution of buttons into equal portions, with the quotient being the number of buttons per jar. It's crucial to understand the concept of division to solve such problems. In practical terms, if you were to distribute 2.134 buttons equally among 12 jars, each jar would have approximately 0.1785 buttons. This approach ensures a fair and even distribution of the given quantity among the specified number of containers.
Overall, understanding the basic arithmetic operation of division helps solve real-world problems like distributing items equally, and in this case, finding the number of buttons per jar in Lisa's scenario.
Complete question: "Lisa has 2,134 buttons that need to be sorted equally into 12 jars. How many buttons will be in each jar?"
8 meters increased by 25% is
What is the sum of 8 and -9
Jaylan makes limeade using 3/4 cup of water per 1/5 cup of lime juice. Wanchen makes limeade using 2/3 cup of water per 1/6 cup of lime juice. Find the unit rate of water (cups) per lime juice (cups). Whose limeade has a weaker flavor? Explain and show your work
If Jaylan makes limeade using 3/4 cup of water per 1/5 cup of lime juice.
Jaylan's limeade has a unit rate of 3 3/4 cups of water per cup of lime juice.Wanchen's limeade has a unit rate of 4 cups of water per cup of lime juice.What is the unit rate?Given:
Jaylan's recipe: 3/4 cup of water per 1/5 cup of lime juice
Wanchen's recipe: 2/3 cup of water per 1/6 cup of lime juice
Jaylan's recipe:
Unit rate = (3/4 cup of water) / (1/5 cup of lime juice)
= (3/4) / (1/5) [dividing fractions is the same as multiplying by the reciprocal]
= (3/4) * (5/1)
= (3 * 5) / (4 * 1)
= 15/4
= 3 3/4 cups of water per cup of lime juice
Wanchen's recipe:
Unit rate = (2/3 cup of water) / (1/6 cup of lime juice)
= (2/3) / (1/6)
= (2/3) * (6/1)
= (2 * 6) / (3 * 1)
= 12/3
= 4 cups of water per cup of lime juice
Compare the unit rates:
Jaylan's limeade has a unit rate of 3 3/4 cups of water per cup of lime juice.Wanchen's limeade has a unit rate of 4 cups of water per cup of lime juice.A higher unit rate means there is more water per cup of lime juice which results in a weaker flavor.
Therefore, Wanchen's limeade has a weaker flavor compared to Jaylan's limeade as it has a higher unit rate of water per lime juice.
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a runner is 7/8 mile from the finsh line. she can travel 3/8 mile per minute,how long will it take her to finsh the race
3m + 5 = 8 modeled by algebra tiles
a graph shows the elements found in earths crust. what fraction of earths crust is silicon.
The fraction of Earth's crust that is silicon is 0.28, which can also be written as 28/100 or 28%.
To determine the fraction of Earth's crust that is silicon, we need to convert the percentages into fractions.
The percentages:
Oxygen: 47%
Silicon: 28%
Aluminum: 8%
Other: 17%
To convert these percentages into fractions, we divide each percentage by 100:
Oxygen fraction = 47/100 = 0.47
Silicon fraction = 28/100 = 0.28
Aluminum fraction = 8/100 = 0.08
Other fraction = 17/100 = 0.17
Now, to find the fraction of Earth's crust that is silicon, we divide the silicon fraction by the sum of all the fractions:
Silicon fraction / (Oxygen fraction + Silicon fraction + Aluminum fraction + Other fraction)
0.28 / (0.47 + 0.28 + 0.08 + 0.17)
0.28 / 1
Therefore, the fraction of Earth's crust that is silicon is 0.28, which can also be written as 28/100 or 28%.
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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
Two students are told that the perimeter of this rectangle is at least 30 inches. The first student says, "The length of the long side must be at least 13 inches". The second student says, "The unknown number must be at least 10 inches". Which of the following statements is true?
A. The first student is correct.
B. The second student is correct.
C. Both students are correct.
D. Neither student is correct.
Answer:
The real answer is D.
what does how can the term unit square help you to remember that area is measured in square units
The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75.
The total cost for the safari tour for the Shaw family is $12.75 with a vehicle cost of $5.25 and an additional amount per head of $2.5.
let us say the additional amount for each person = Z
it is given that
cost of the tour per vehicle = $5.25
number of family members in Skubic family = 7
number of family members in Shaw family = 3
total cost = $22.75
what will be the total cost for each family?the total cost will be the sum of the additional amount for all and vehicle cost.
Total cost for Skubic family
7z + 5.25 = 22.75(given)
7z= 17.5
z=$2.5
total cost for Shaw family = 3z+5.25 = 3*2.5+5.25 = $12.75
therefore, the total cost for the Shaw family is $12.75
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solve the equation 4(2+3c)=56
The solution to the equation 4(2 + 3c) = 56 is c = 4.
To solve the equation 4(2 + 3c) = 56, we will follow the order of operations (PEMDAS) to simplify the expression and isolate the variable c.
First, we distribute the 4 to both terms inside the parentheses:
4 * 2 + 4 * 3c = 56
Simplifying further:
8 + 12c = 56
Next, we want to isolate the variable c by subtracting 8 from both sides:
8 + 12c - 8 = 56 - 8
Simplifying:
12c = 48
Finally, we divide both sides by 12 to solve for c:
12c/12 = 48/12
Simplifying:
c = 4
Therefore, the solution to the equation 4(2 + 3c) = 56 is c = 4.
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There are 207 students in 9 classes at this rate how many are in 6 classes