Answers
4x/4 = x
8/4 = 2
so 4(x+2) is 4x+8 fully factored, NOW to check, use the distributive property, Multiply 4 back into x+2
4*x = 4x
4*2 = 8
so 4(x+2) = 4x+8
Related Questions
Kathleen studied 2/3 of the night's in the month. If the month has 30 days, how many nights did she study?
Answers
2/3= x/30
Cross multiply and divide
30 x2= 60
60 divided by 3 is 20
Answer is 20
Ps: you could also find the answer by dividing 30 by 3 and that's how you get 1/3 of 3 which is 10. So 2/3 is just 10 + 10= 20
The number of nights studies in a month is 20.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of nights in a month = 30
The number of nights studied in a month.
= 2/3 x 20
= 2 x 10
= 20
Thus,
The number of nights is 20.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
Nadia charges $6.50 an hour for babysitting. She babysits 16.50 hours the first week of the month and 22 hours the second week of the month.Suppose Nadia raises her rate by $0.65 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Answers
She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.
What is another way to write 300+20+5
Answers
12% of 72 is what number?
Answers
Answer:
x = 8.64
Step-by-step explanation:
12% of 72 = (12/100) * 72/x
= 0.12 * 72
x = 8.64
8.64 is 12% of 72. Determining any kind of percentage will not be a challenge for anybody if the above procedure is followed step by step.
(I think you are in the same county like me. Is it Dadeschools in Miami. Oh and the the Chapter is Chapter 2 Lesson 3 "The Percent Proportion" right?....)
You must be a 12 Grader by now...
Mr.Mason's height is at most 4 inches mire than twice his daughters height Mr.Mason's height is 70 inches.
Answers
deshawn deposited $6500 into a bank account that earned 11.5percent simple interest each year . he earned $4485 in interest befour closing the account. if no money was deposited into or withdrawn from the account, for how many years was the money in the account round the answer to the nearest whole year
Answers
The money was in the account for 6 years.
Explanation:To find the number of years the money was in the account, we can use the formula for simple interest: I = P * r * t, where I is the interest earned, P is the principal (initial amount), r is the interest rate, and t is the time in years. We are given that Deshawn earned $4485 in interest and the interest rate is 11.5%. Let's plug in these values and solve for t:
4485 = 6500 * 0.115 * t
Simplifying the equation gives us:
t = 4485 / (6500 * 0.115) ≈ 6.1337
Rounding to the nearest whole year, we can conclude that the money was in the account for 6 years.
1. Explain how you would model 5 x 2/3
2. When you multiply 2/3 by a fraction less than one, how does the product compare to the factors? Explain.
3. There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole pie will he eat tomorrow?
A. 1/36
B. 5/36
C. 1/3
D. 2/3
4. Matt made the model below to help him solve his math problem. Which of the expressions could he have been working out? (Yes, I made the model which emojis.)
Blue Heart: Green Square
Yellow Heart: Yellow Square
Broken Heart: Blank Square
A. 3/12 x 3/4
B. 3/4 x 3
C. 3/12 x 3/12
D. 1/3 x 3/4
5. If an angle measures 100 degrees, through what fraction of a circle does the angle turn?
A. 1/100
B. 1/4
C. 100/360
D. 1/2
Answers
2. the product comes out to be a smaller number than the factor itself.
3. D 2/3
4. I am not sure about number four.Srry.
5. C 100/360
I hope I helped.
Final answer:
To model 5 x 2/3, think of having 5 groups of 2/3 each. Multiplying 2/3 by a fraction less than one yields a smaller product. Victor will eat 5/36 of the whole apple pie, and an angle of 100 degrees represents 100/360 of a full circle.
Explanation:
To model 5 x 2/3, you can visualize having 5 groups of something, with each group containing 2/3 of that item. For example, if you have 5 pies, and you take 2/3 out of each pie, you would have a total of (5 x 2/3 = 10/3) pies.
When you multiply 2/3 by a fraction less than one, the product is smaller than the original fraction of 2/3 because you're effectively taking a portion of a portion, which reduces the overall size.
For the apple pie scenario, Victor plans to eat 1/6 of the 5/6 of a pie that is left, so the amount he will eat is (5/6 x 1/6 = 5/36) of the whole pie, which means the correct answer is Option B, 5/36.
Without the visual model provided, it is challenging to determine exactly which expressions Matt could have been working out. However, if you can provide the model, the answer would depend on the relationship between the hearts, squares, and the blank squares in Matt's model.
An angle of 100 degrees represents 100/360 or roughly 5/18 of a full circle since a full circle has 360 degrees. Therefore, the answer is Option C, 100/360.
Can someone help me out here . Thanks!
Answers
Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does joseph have?
Answers
number of joseph's DVDs= 56 * 5/4 = 70
19.25 X 0.12=
please show work
Answers
3p-4=8and 2p=4 is it equivalent
Answers
+4 on both sides to get
3p=12
divide each side by 3 to get p=4
2p=4
divide off 2 on both sides to get
p=2
Is 2=4? If it is then it is equivelent, if it isnt then theyre not.
3p=12
p=4
2p=4
p=2
So no, they are not equivalent.
Hope this helps :)
A bakery used 475 pounds of apples to make 1000 apple tarts. each jar contains the same amount of apples. how many pounds of apples are used in each tart.
Answers
-475
the answer is525
because i think you have to divide it ... i think
$4.30 markup, 40% discount, 6% tax
Answers
1% = 0.043
40% = 1.72
6% = 0.258
everything = 6.278 $
which parachute has a slower descent a red parachute that was 10 feet in 4 seconds or a blue parachute that falls 1
2 feet in 6 seconds
Answers
list all of the factors of 72
Answers
To find the factor(s) "72" just write out the muliples that equals 72
A certain TV can be purchased from the manufacturer for $160. A certain online retailer has a standard markup of 30%, and a certain superstore has a standard markup of 40%.
(a) What is the price of the TV when purchased online? What is the price of the TV when purchased at the superstore?
(b) What is the difference between the prices in Part (a)? How does this relate to the difference in the markup?
Answers
Answer:
The price of the TV purchased online is $208
The price of the TV purchased at the superstore is $224
Explanation
To solve this, we are going to use the markup formula solved for price:
[tex]Price=markup*cost+cost[/tex]
where
[tex]markup[/tex] is expressed in decimal form
- For the online retailer:
We know that the the TV can be purchased from the manufacturer for $160, so [tex]cost=160[/tex]. We also know that its markup is 30%; to express the markup as a decimal, we just need to divide it by 100%, so [tex]markup=\frac{30}{100} =0.3[/tex]. Now we can replace the values in our formula to find the price of the TV at the online retailer:
[tex]Price=markup*cost+cost[/tex]
[tex]Price=0.3*160+160[/tex]
[tex]Price=48+160[/tex]
[tex]Price=208[/tex]
The price of the TV purchased online is $208
- For the superstore:
The cost is the same, so [tex]cost=160[/tex]. The markup this time is 40%, so [tex]markup=\frac{40}{100}=0.4[/tex]. Let's replace the values to find the price:
[tex]Price=0.4*160+160[/tex]
[tex]Price=64+160[/tex]
[tex]Price=224[/tex]
The price of the TV purchased at the superstore is $224
(b)Answer
The difference between the prices is $16
The difference relates to the markup in two ways:
- When the markup increases 10% (from 30% to 40%), the price of the TV increases by $16.
- When the markup increases 10% (from 30% to 40%), the price of the TV increases 7.7%.
Explanation
To find the difference of our prices, we just need to subtract the price of the TV purchased at the superstore from the price of the TV purchased online:
$224 - $208 = $16
Now, to find how much the cost increased when the markup increases from 30% to 40%, we are going to divide the result of the difference of the two prices by the price of the TV at the online retailer, and then multiply by 100%:
[tex]\frac{16}{208} *100=7.69[/tex]
Which rounds to 7.7%
We can conclude that when the markup increases 10% (from 30% to 40%), the price of the TV increases 7.7%.
We can also conclude that when the markup increases 10% (from 30% to 40%), the price of the TV increases by $16.
Answer:
a) The price online of the TV is 208$
And in the superstore, it is 224$
b) The difference between the prices is $16.
208 - 224 = 16
The market difference is related as follows:
When the markup increases by 10% (from 30% to 40%), the price of the TV increases by $16.
which is a solution of the inequality y < x - 8
Answers
A solution to the inequality 'y < x - 8' is any point where the y-value is less than the x-value minus 8. An example solution is the point (10, 1). To find all solutions, one would graph the boundary line y = x - 8 and shade the region below it, without including the line itself.
Explanation:The question 'which is a solution of the inequality y < x - 8' falls within the subject of Mathematics, specifically under the topic of inequalities in algebra. A solution to this inequality is any ordered pair (x, y) where the y-value is less than the x-value minus 8. For example, if x is 10, then y must be less than 2 to satisfy the inequality, such as the point (10, 1).
To visualize this, you would graph the line y = x - 8 and then shade the region below this line on a coordinate plane. The shaded region represents all the points where the y-coordinate is less than the x-coordinate minus 8, thus showing all the potential solutions to the inequality. Points on the boundary line are not included since the inequality is strictly less than, not less than or equal to.
estimate then find the product 48x38
Answers
Lilah completed the division problem below.
7.84 divided by 2
Select True or False for each statement.
A. The first step of the division is to multiply 7.84 and 2 by 10
B. The quotient will be a whole number.
C. The quotient multiplied by 2 will equal 7.84
D. The first digit of the quotient will be in the ones place.
E. The quotient will have two decimal places.
Answers
B - True
C - True
D - False
E - True
-----
7.84 / 2 = 3.92
f(x)=x^2-x-1 , average rate of change of f over interval -1 greater than or equal to x less than or equal to 1
Answers
The average rate of change of the function f(x)=x^2-x-1 over the interval from -1 to 1 is calculated as the change in the function's values over the change in x, which results in -1.
Explanation:The average rate of change of a function f(x) over a given interval [a, b] is defined as the change in f(x) divided by the change in x. It is equal to the value of the function at point b minus the value of the function at point a, divided by (b-a).
For the function f(x)=x^2-x-1, we are given the interval from -1 to 1. In this case, a=-1 and b=1.
So first calculate f(a) and f(b), i.e., f(-1) = (-1)^2 -(-1)-1 = 1, and f(1) = (1)^2 -(1)-1 = -1.
Then, plug these values into the average rate of change formula, which gives us (-1-1) / (1 - (-1)) = -2 / 2 = -1. So the average rate of change of the function f over the interval from -1 to 1 is -1.
Learn more about Average Rate of Change here:https://brainly.com/question/34745120
#SPJ11
Jamal is planting seeds for garden nursery.he plants 9 seeds In each container.if Jamal has 296 seeds to plant ,about how many containers will use?
Answers
Chris wants to leave a 15% tip on the price of the food, calculated before sales tax. What is the maximum cost of food the group can order and not go over $63? Help Please
Answers
First way is... You want to find out what 15% off $63 so a way to do it is you first want to find out what 10% of $63 is which would be 6.3 because you jus have to move the decimal place to the left one place. Which leaves you with the left over 5% which is half of the 10% which we have got 6.3 so half of that would be 3.15. So add those together and you get 9.45. I hope this is what you wanted to know.
Just because!!!
The other way that you could have done it is that you could have done it the decimal way... $63x0.15 to get 9.45 the same answer as above.
A family is tracking its spending habits. Over the past year, the grocery bill has ranged from $110 to $170.
Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale to use for the y-axis? Explain your reasoning.
(b) What is a good interval to use for the y-axis? Explain your reasoning.
Answers
B. Months. 12 points on the y axis is more then enough to make a graph.
If my answer helped, please mark it is "the brainliest answer"
Thanks
-j
Answer:
A. $10
B. 12 points
Step-by-step explanation:
Let, the x-axis represents the number of months and y-axis represents the money for the grocery.
Now, as we have the range of the grocery bills from $110 to $170.
Thus, taking the scale of $10 on y-axis will give us 7 intervals in which the changes in the grocery bills can be viewed.
Hence, a scale of $10 is a good scale.
Further, as y-axis represents the number of months. Thus, taking 12 months will be sufficient to plot the graph and show the changes in the grocery bills.
Hence, 12 points representing months are sufficient.
Gina hiked down a canyon and stopped each time she descended ½ mile to rest. She hiked a total of 4 sections. What is her overall change in elevation?
Answers
-5 1/3 divided by 2 3/4 in fraction form
Answers
Yolanda and her 3 brothers shared a box of 156 toy dinosaurs. About how many Dino's did each child get?
Answers
Yolanda and her 3 brothers are sharing 156 toy dinosaurs. By dividing 156 by the total number of children, which is 4, we find that each child gets 39 toy dinosaurs.
Explanation:The question requires us to divide a certain number of items, specifically toy dinosaurs, equally among a group of children. Yolanda and her 3 brothers share a total of 156 toy dinosaurs. To find out how many dinosaurs each child gets, we need to perform a simple division operation.
Since there are 4 children in total (Yolanda plus her 3 brothers), we divide the total number of toy dinosaurs by 4:
156 toy dinosaurs ÷ 4 children = 39 toy dinosaurs per childTherefore, each child would receive approximately 39 toy dinosaurs.
Final answer:
To determine how many toy dinosaurs each child receives, divide 156 (the total number of dinosaurs) by 4 (the number of children), resulting in 39 dinosaurs per child.
Explanation:
The subject of this question is Mathematics, and it belongs to the Middle School grade level. The question involves dividing a set of items equally among a group of children, which is a basic arithmetic problem.
Yolanda and her 3 brothers together make a group of 4 children. To find out how many toy dinosaurs each child gets, we divide the total number of toy dinosaurs by the number of children:
Total number of toy dinosaurs: 156
Number of children: 4
Number of dinosaurs per child = 156 ÷ 4
= 39
So, each child would receive approximately 39 toy dinosaurs.
350 yards to 420 yards
Answers
The range from 350 yards to 420 yards is of 70 yards.
To understand the range from 350 yards to 420 yards, it is important to recognize that this involves simple subtraction and addition within a specific interval. The interval is calculated as follows:
The lower limit: 350 yardsThe upper limit: 420 yardsThe range between these two distances is:
Lower Limit: 350 yardsUpper Limit: 420 yardsTo find the difference, which represents the span or range between these two points, simply subtract the smaller number from the larger number:
420 yards - 350 yards = 70 yards
Thus, the range between 350 yards and 420 yards is a total of 70 yards.
Chelsea earns $30 per day plus $5 for every sale that she makes at her job. On thursday ,she wants to earn at least $60
Answers
30+5x=60
30+5(6)
30+30=60
A bathtub holds about 2 hectoliters of water. If 25 liters of water are let down the drain, how many liters of water are still in the bathtub?
Answers
200 − 25 = 175 liters
Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralf, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?
Answers
WORKINGS
Let Dominic’s weight be represented by ‘D’
Let Ralf’s weight be represented by ‘R’
Let Peter’s weight be represented by ‘P’
Given,
Dominic now weighs half as much as Ralf;
D = ½ R
R = 2D ….. (Equation I)
Peter weighs three times as much as Dominic;
P = 3D ….. (Equation II)
Together they weigh 720 pounds
D + R + P = 720 pounds ….. (Equation III)
How much does Dominic weigh?
D is unknown?
Substitute equation I (R = 2D) for the value of R in equation III
D + R + P = 720 pounds ….. (Equation III)
D + 2D + P = 720 pounds
3D + P = 720 pounds ….. (Equation IV)
Substitute equation II (P = 3D) for the value of P in equation IV
3D + P = 720 pounds ….. (Equation IV)
3D + 3D = 720 pounds
6D = 720 pounds
D = 720/6 pounds
D = 120 pounds
Therefore, Dominic weighs 120 pounds.