The expression shown here is using the distributive property.
What is distributive property?The distributive property simply states that multiplication distributed over addition. Multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For the given situation,
The expression is 12a + 12b + 12c + 12d.
The formula for the distributive property is expressed as,
a × (b + c) = (a × b) + (a × c).
Michael writes the expression shown as
⇒ [tex]12a + 12b + 12c + 12d = 12(a + b + c + d)[/tex]
The above expression is of the form of the formula for the distributive property.
Hence we can conclude that the expression shown here is using the distributive property.
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Haley's car gets at least 17 miles per gallon. If she plans a trip that is 250 miles, what is the minimum number of gallons she'll need?
Answer:
15 gallons
Step-by-step explanation:
Explain if you can. I'm really confused!
Write 100,000 as a power of 10. A) 103 B) 104 C) 105 D) 106
The number 100,000 is written power of 10 as [tex]10^5[/tex]. Therefore, option C is the correct answer.
The given number is 100,000.
We need to write 100,000 as a power of 10.
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Now, 100,000 can be written as [tex]10^5[/tex].
The number 100,000 is written power of 10 as [tex]10^5[/tex]. Therefore, option C is the correct answer.
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An internet bookseller charges $6 per paperback book plus a $3 shipping and handling fee per order. If Mr. Montoya spent $111 on books for his class, how many books did he buy?
Hayley begins solving this problem by combining like terms. 3x + 5x = 10 Which problem requires the same strategy (combining like terms)? A) 5x=20 B) 3(x + 5) = 20 C) x ÷ 4= 30 D) 3x - 2x = 10
Answer:
D) 3x - 2x = 10
Explanation:
To combine like terms, you add or subtract terms that have the same variables and exponents. In the problem we are given, 3x and 5x are like terms; we would add them together and then continue solving.
In choice A, there are no like terms to combine.
In choice B, we would use the distributive property; after that, there are no like terms to combine.
In choice C, we would cancel the 4; there are no like terms to combine.
Choice D has two like terms, 3x and 2x. We would subtract them and then continue solving.
Which problem is represented by this inequality?
12x ≥ 48
A) If riders on Feel the Fear must be at most 48 inches tall, how many feet tall are they?
B) If riders on Feel the Fear must be at least 48 inches tall, how many feet tall are they?
C) If riders on Feel the Fear must be less than 48 inches tall, how many feet tall are they?
D) If riders on Feel the Fear must be greater than 48 inches tall, how many feet tall are they?
Answer:
Option B
Step-by-step explanation:
We should know the following:
Symbol > ⇒ Commonly used for : more than or greater than.
Symbol < ⇒ Commonly used for : less than or fewer than.
Symbol ≥ ⇒ Commonly used for : at least, no less than, grater than or equal
Symbol ≤ ⇒ Commonly used for : at most, no more than, less than or equal.
Given 12x ≥ 48
Which mean 12x ( least or no less than ) 48
So, the suitable option is B
B) If riders on Feel the Fear must be at least 48 inches tall, how many feet tall are they?
Answer:B) If riders on Feel the Fear must be at least 48 inches tall, how many feet tall are they
Step-by-step explanation:
I need help to calculate (The three at the end is to the third power!)
(−1)3
Thank you!!!!!!
The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours of driving.
What do the key features of the graph indicate in this situation?
Drag and drop the answers into the boxes.The / indicates that the Masons are mi from /home when they begin driving.
1. BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?
2. BASEBALL CARDS Justin bought 40 packs of baseball cards for a discounted
price of $64. If he sells 10 packs of baseball cards to a friend at cost,
how much should he charge?
3. SOUP A recipe that yields 12 cups of soup calls for 28 ounces of beef
broth. How many ounces of beef broth do you need to make 18 cups of
the soup?
4. ANIMALS At a dog shelter, a 24-pound bag of dog food will feed 36 dogs
a day. How many dogs would you expect to feed with a 16-pound bag
of dog food?
5. AUTOMOBILES Mr. Fink’s economy car can travel 420 miles on a 12-gallon
tank of gas. Determine how many miles he can travel on 8 gallons.
Answer:
Step-by-step explanation:
Please Geometry Help!!!!!
Mulch to cover a rectangular garden costs $48. Mulch is needed to cover a larger, similar garden. The ratio of dimentions is 2:3. How much would it cost to cover the larger garden?
A) $288
B) $192
C) $72
D) $108
The cost of covering the larger garden is $192. So option (b) is correct.
To solve this problem, let's first find the dimensions of the larger garden.
Given that the ratio of dimensions between the two gardens is 2:3, let's assume the dimensions of the smaller garden are 2x and 3x, where x is a common factor.
So, the smaller garden's area is (2x) * (3x) = 6x².
Now, let's find the area of the larger garden. Since the ratio of dimensions is 2:3, the dimensions are 2(2x) and 3(2x), which are 4x and 6x.
Thus, the larger garden's area is (4x) * (6x) = 24x².
Now, since the cost of mulch is directly proportional to the area, we can set up a proportion to find the cost.
(6x²) / (24x²) = $48 / Cost of covering the larger garden
Solving for the cost of covering the larger garden:
Cost of covering the larger garden = ($48 * 24x²) / (6x²)
= $192
So, the correct answer is B) $192.
Write the standard number for eighteen and forty-three thousandths
The standard number for 'eighteen and forty-three thousandths' is written as 18.043. We express the 'forty-three thousandths' part as .043 and combine it with the whole number 18.
Explanation:The standard number for "eighteen and forty-three thousandths" is written in the decimal format. The whole number, in this case, is 18 and the decimal part is .043 when we express the words 'forty-three thousandths'. Combined together, the number is written as 18.043.
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Luis rode his bike after school for 48 min. For what part of an hour did he ride his bike. Simplest form
i need help with number 7 please help me!!
an item cost $340 before tax and then the sale tax is $6.80.find the sales tax rate. write your answer as a percentage
A Recipe for party mix calls for 3/4 cup of cereal , 1/4 Cup of walnuts, 5/8 cup of crackers , and 1/2 cup of raisins . determine the number of cups in the mix. write the answer in the simplist form ?
A. 2 1/8
B. 1 1/8
C. 10/18
D. 17/8
Some doctors recommend that men drink 3 liters of water every day . There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters ?
A. 89 fl oz
B. 101 fl oz
C. 10 fl oz
D. 33 fl oz
Answer:
B. 101 fl oz
Step-by-step explanation:
We have been that some doctors recommend that men drink 3 liters of water every day . There are approximately 29.6 milliliters in 1 fluid ounce.
We know that 1 liter equals 1000 ml.
3 liters = 3,000 ml.
To find the number of fluid ounces in 3 liters, we will divide number of milliliters in 3 liters by number of milliliters in 1 fluid ounce.
[tex]\text{The number of fluid ounces in 3 liters}=\frac{3000}{29.6}[/tex]
[tex]\text{The number of fluid ounces in 3 liters}=101.35135135\approx 101[/tex]
Therefore, there are 101 fluid ounces in 3 liters of water and option B is the correct choice.
5/8 times 1/2 in fraction form
5/8 times 1/2 in fraction form is 5/16.
Here it is needed to find the product or the multiplication of the fractions 5/8 and 1/2.
Whenever a number is taken times to another number, the operation is multiplication.
Here the numbers are fractions.
For fractions, multiplication is in such a way that when two fractions are multiplied, multiply the numerators and the denominators separately and write it as such.
5/8 × 1/2 = (5 × 1) / (8 × 2)
= 5/16
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What is the product of a number and six less 12 is 72
What is x? 3x+4y=70 and 8x-3y=9
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $240 and first class tickets for $1130. She used her total budget for airfare for the trip, which was $10,480. How many first class tickets did she buy? How many coach tickets did she buy?
An airplane takes 4 hours to travel a distance of 2600 miles with the wind. The return trip takes 5 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
The speed of the plane in still air = 585 mph
and the speed of the wind = 65 mph
What is speed?
"It is the distance covered per unit time."
What is the formula of speed?
"speed = distance/time"
For given question,
Let, the speed of the airplane in still air = x mph
and the speed of the wind = y mph
So, the speed of the airplane with the wind = (x + y) mph
and the speed of the airplane against the wind = (x - y) mph
Here, the distance (d) = 2600 miles
An airplane takes 4 hours to travel a distance of 2600 miles with the wind.
[tex]\Rightarrow x+y=\frac{2600}{4} \\\\\Rightarrow x+y=650~~~~~~~~~~.........................(i)[/tex]
The return trip takes 5 hours against the wind.
This means, an airplane takes 5 hours to travel a distance of 2600 miles against the wind.
[tex]\Rightarrow x-y=\frac{2600}{5}\\\\ \Rightarrow x-y=520~~~~~~~~~~............................(ii)[/tex]
From equation (ii),
x = 520 + y ........................(iii)
Substitute this value in equation (i),
⇒ (520 + y) + y = 650
⇒ 2y = 650 - 520
⇒ 2y = 130
⇒ y = 65 mph
Substitute the value of y in equation (iii),
⇒ x = 520 + y
⇒ x = 520 + 65
⇒ x = 585 mph
Therefore, the speed of the plane in still air = 585 mph
and the speed of the wind = 65 mph
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I am k years old and my daughter is y years younger.
What is the sum of our ages?
What will be the sum of our ages next year?
What will be the difference of our ages next year?
The sum of our ages is
, the sum of our ages next year will be
, the difference of our ages next year will be
Answer:
sum: k + (k-y)
next year : (k+1) + ((k+1) -y)) or (k+ (k-y)) + 2
Difference: No matter what year it is the difference between the ages is the same... so (k + (k-y)) ?
Step-by-step explanation:
I hope this helps
This year, the sum of your ages is 2k - y. Next year, the sum of your ages will be 2k - y + 2, and the difference in your ages will remain y.
Explanation:If you are k years old and your daughter is y years younger, then your daughter's age is 'k - y'. The sum of your current ages is k + (k - y), which simplifies to 2k - y.
Next year, both of you will be one year older. Therefore, the sum of your ages next year would be '(k + 1) + (k - y + 1)', which simplifies to 2k - y + 2.
The difference in your ages next year would still be 'y' because the ages increase uniformly and the difference between your ages doesn't change.
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What numbers is divisible by 492,570
At the rate of $7.22 how much will Whitney eat in 40 hours
What can be answered with science?
Questions that are non-testable
Questions about things that can be measured
Questions that ask about an opinion
Questions that ask about a moral value
The perimeter is 128 inches and the width is 30 inches what is the length of the rectangle
Last year Tamera made $42,786. How much did she make each month [12 months]
A camera rental company charges a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera: A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis. A straight line joins the ordered pairs 0, 40 and 4, 120. What is the fixed amount charged? $20 $30 $40 $80
Can someone help me find 2 skews and 2 perpendicular lines thanks
William put 0.83 liter of water into a bucket. Matt put 0.98 liter of water into another bucket. When they combined their water into a bigger bucket 10% of the water spilled out. The water they collected had a weight of 1.021 kilograms per liter of water. The expression show below represents the weight, in kilograms, of the water in the bigger bucket. [0.9(0.83 + 0.98)] x 1.021 Rounded to the nearest thousandth, what is the weight, in kilograms, of the water in the bigger bucket?
1.663
1.748
1.763
1.848