a butcher has 10 3/4 pounds of ground beef that will be process at $3.40 per pound. he divides the meat into 8 equal packages. to the nearest cent, what will be the price of each package? explain how you know that your answer is reasonable
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.
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:
What is x? 3x+4y=70 and 8x-3y=9
soppose 8 out of every 20 students are absent from school less than 5days a year.predict how many students would be absent from school less than five days a year out of 40,000 students
the foundation of a house sinking 5 inches positing or negative
5._4 - (_.8_) = -3.61
fill in the blanks please !!
Answer:
[tex]5.24-8.85=-3.61[/tex]
Step-by-step explanation:
We have been given an equation. We are asked to fill in the blanks for the given equation.
5._4 - (_.8_) = -3.61
We will find each part separately as:
For hundredths digit:
[tex]4-?=-1[/tex]
[tex]4-4-?=-1-4[/tex]
[tex]-?=-5[/tex]
[tex]?=5[/tex]
So hundredths digit would be 5.
Tenth digit:
[tex]?-8=-6[/tex]
[tex]?-8+8=-6+8[/tex]
[tex]?=2[/tex]
Ones digit:
[tex]5-?=-3[/tex]
[tex]5-5-?=-3-5[/tex]
[tex]-?=-8[/tex]
[tex]?=8[/tex]
Substitute the values in given equation.
5.24 - (8.85) = -3.61
We can verify our answer by subtracting 8.85 from 5.24.
[tex]5.24-8.85=-3.61[/tex]
Therefore, our equation would be [tex]5.24-8.85=-3.61[/tex].
I don’t understand how to do this, someone please help :)
Solve for y
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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the probability of picking a red marble from a bag of 30 marbles is 1/5. how many blue marbles must be removed from the bag to increase the probability to 1/4
To increase the probability from 1/5 to 1/4, we need to remove 24 blue marbles from the bag.
Explanation:To increase the probability from 1/5 to 1/4, we need to find the number of blue marbles that need to be removed. Let's assume there are x blue marbles in the bag. Initially, the total number of marbles in the bag is 30, and the probability of picking a red marble is 1/5. This means that (30 - x)/30 = 1/5. Solving this equation, we get x = 24. Therefore, 24 blue marbles need to be removed from the bag to increase the probability to 1/4.
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Because the initial probability of picking a red marble from 30 marbles is 1/5, there are 6 red marbles in the bag. If we want to increase the probability of drawing a red marble to be 1/4, we need to reduce the total number of marbles in the bag to 24. So, we must remove 6 non-red marbles, which could be blue.
Explanation:The subject of your question is probability in Mathematics. Initially, we have 30 marbles, and the probability of picking a red one is 1/5. So, there are 1/5 * 30 = 6 red marbles in the bag. Thus, the bag also contains 24 non-red marbles, which can be blue or other colors.
Next, we want the probability of picking a red marble to be 1/4. Since the number of red marbles will remain the same, we need to change the total number of marbles in the bag. If 'x' is the number of marbles in the bag, then 6/x = 1/4, which means x = 24. Since initially we had 30, to get to 24 we need to remove 6 marbles.
Therefore, if we remove 6 blue marbles (or any non-red marbles), the probability of picking a red marble will increase to 1/4.
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The rabbit population in a certain area is 500% of last year's population. There are 300 rabbits this year. How many were there last year? There were rabbits last year.
500% - 5.00
300 / 5 = 60
there were 60 rabbits last year
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
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items? (a) Write an equation. Let x represent the cost of one of Tanya's items. (b) Solve the equation. Show your work. (c) Check your solution. Show your work. (d) State the solution in complete sentences. Answer:
3x = 4(x-2.25)
3x = 4x-9
add 9 to both sides
3x+9 =4x
subtract 3 x from each side
x=9
Tonya's items were $9 each
Tony's items were 9-2.25 = 6.75 each
check:
9*3=27
4 *6.75 = 27
If 60 equals twice a number added to itself, find the number.
Which is the best example of a number written in scienific notations?
A) .5 x 10^5
B) .1254
C) 5.367 x 10^-3
D) 12.5 x 10^2
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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Explain if you can. I'm really confused!
I need help to calculate (The three at the end is to the third power!)
(−1)3
Thank you!!!!!!
What numbers is divisible by 492,570
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 value of 412.321 if the underlined diget is 1 on the part .321?
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
What is the quotient for -20/-2?
At the rate of $7.22 how much will Whitney eat in 40 hours
What is the value of t?
t−12/2=3t/2−3
A. –3
B. –1
C. 1
D. 3
Answer: -3
Step-by-step explanation:
(t-12)/2=(3t)/2-3
t-6=1.5t-3
t=3-6
t=-3
Hope this helps
We have that for the Question "What is the value of t?
t-12/2=3t/2 -3" it can be said that the value of t is
[tex]t=-3[/tex]
Option A
From the question we are told
What is the value of t?
t-12/2=3t/2-3
A. –3
B. –1
C. 1
D. 3
Generally the equation for the statement is mathematically given as
[tex]\frac{t-12}{2}=\frac{3t}{2}-3\\\\ Therefore\\\\\frac{t-12}{2}=\frac{3t}{2}-3\\\\Multiply through by the denominator which is 2\\\\ t-12=3t-6 \\\\ collecting like terms \\\\ t-3t= -6 +12 \\\\ therefore \\\\ t=-3 [/tex]
Therefore
the value of t is
[tex]t=-3[/tex]
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A newborn baby gained 9/16 of a pound in 1/4 of a month. What was the baby's growth rate in pounds per month?
can you graph the equation?
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?
Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long.