Which expression is the result of the perimeter of rectangle b minus the perimeter of rectangle a
Answers
6x + 10 + 4x - 4
10x + 6
Retangle A perimeter = 2(2x+8) + 2(x-1)
4x + 16 + 2x - 2
6x + 14
(10x + 6) - (6x + 14) =
10x + 6 - 6x - 14 =
4x - 8 ← answer
Related Questions
Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service charges. Company B charges $8 per hour and an additional $40 as service charges.
Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points)
Part B: Which company would charge less for renting a truck for 8 hours? Justify your answer. (3 points)
Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 2 hours? (3 points)
Answers
Company A: $7 per hour +$30 service charge =money spent
Company B: $8 per hour +$40 service charge =money spent
Part B:
Company A: $7(8)+$30 = $86
Company B: $8(8)+$40 = $104
Part C:
Company A: $7(2)+$30 = $44
Company B: $8(2)+$40 = $56
You would save $12 if you use Company A instead of Company B's truck rental.
Haley and Samuel can each make one gift box in two hours. Rachael takes three hours to make the gift box alone. If Haley, Samuel, and Rachael work together, how long will it take them to make one gift box?
Answers
It will take 40 minutes for them to make one gift box.
Combined ratesGiven that Haley and Samuel can each make one gift box in two hours, while Rachael takes three hours to make the gift box alone, to determine, if Haley, Samuel, and Rachael work together, how long will it take them to make one gift box, the following calculation must be performed, using combined rates:
1/2 + 1/2 + 1/3 = X3/6 + 3/6 + 2/6 = X8/6 = X6/6 = 1 hour8/6 = 40 minutesTherefore, it will take 40 minutes for them to make one gift box.
Learn more about combined rates in https://brainly.com/question/10729109
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Answer:It will take 40 minutes for them to make one gift box
Step-by-step explanation:
The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35.
(a) Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.
Answers
Answer:
(1) Egg Breakfast $6.50
(2) Egg Breakfast $6.50
(3) Refill #1 $0.95
(4) Refill #2 $0.95
(5) Refill #3 $0.95
(6) Refill #4 $0.95
(7) Refill #5 $0.95
Check answer: $6.50+$6.50=$13.00
$0.95+$0.95=$1.90
$0.95+$0.95=$1.90
$1.90+$1.90=$3.80
$3.80+$0.95=$4.75
$13.00+$4.75=$17.75
Total: $17.75
Two trains leave stations 252 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?
Answers
So let's have "t" represent the time by both trains.
The first train shall be Train A and the other becoming Train B, so now we have Train A going 80t miles and Train B going 100t miles.
If two trains head toward each other, they will have traveled a total of 252 miles. The faster train will have traveled further (Train B), so the meeting point will be closer to the slower train's starting point (Train A).
So now we do 80t + 100t = 252
Which becomes 180t = 252
And by diving 252 by 180, you'll get that t is 1.4
This would mean they would meet at one hour and 24 minutes.
Final answer:
The time it takes for two trains traveling towards each other at speeds of 80 mph and 100 mph, and starting 252 miles apart, is found by dividing the distance by their combined relative speed. It takes them 1.4 hours or 1 hour and 24 minutes to meet.
Explanation:
To solve the problem of calculating the time it takes for two trains to meet, we need to understand the concept of relative speed in motion problems. When two objects move towards each other, their relative speed is the sum of their individual speeds. In this case, one train travels at 80 miles per hour and the other at 100 miles per hour, giving us a combined relative speed of 80 mph + 100 mph = 180 mph.
The distance between the two trains is 252 miles, and to find the time taken for the trains to meet, we divide the total distance by the relative speed:
Time = Distance / Relative Speed
Time = 252 miles / 180 mph
Time = 1.4 hours or 1 hour and 24 minutes for the two trains to meet.
How to simplify the expression 60/(-4)
Answers
We could rewrite the problem as: [tex]\frac{60}{-4}[/tex]
Since we have a negative number, we could rewrite the fraction like this.
[tex]=-\frac{60}{4}[/tex]
Let's simplify it...
[tex]-\frac{60}{4}=-15[/tex]
Our answer would be:
[tex]=-15[/tex]
Thanks!
-TetraFish
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for beef or chicken. Out of the total 75 people who liked beef, 60 also liked chicken. There were 80 people who liked chicken.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)
Like beef Do not like beef Total
Like chicken A D G
Do not like chicken B E H
Total C F I
Part B: What percentage of the survey respondents did not like either beef or chicken? (3 points)
Part C: Do the survey results reveal a greater dislike for beef or chicken? Justify your answer. (2 points)
Answers
like chicken 60 20 80
do not like c 15 5 20
-------------------------------------------------------------------------
total 75 25 100
B. did not like beef or chicken.....5/100 = 0.05 = 5%
C. the survey reveals a greater dislike for beef...because 15% like just beef, but 20% like just chicken
Answer:
A:
like beef do not like beef total
like chicken 60 20 80
do not like chicken 15 5 20
total 75 25 100
B: 5%
C: Beef. 20% of the people do not like chicken. 25% do not like beef ( 5% from each dislike both.)
Step-by-step explanation:
Everett made 3/5 of the baskets he shot. Suppose he shot 60 baskets. How many did he make?
Answers
you then multiply 3×12 and you
get 36. So he got 36 out of 60
shots.
3 (12) 36
-- = --
5 (12) 60
An architectural drawing lists the scale as 1/4 = 1. If a bedroom measures 3 1/2 by 5 1/4 on the drawing, how large is the bedroom
Answers
Answer:
The measure of the bedroom is 14 by 21
Step-by-step explanation:
This scale represents the every measure in the drawing is a 1/4 of the original measure, so to find the original measure you must multiply the measure you find in the drawing by 4.
So for the beadroom (3 1/2, 5 1/4), you multiply each one by 4
The real measures of the beadroom are:
(3 1/2 * 4, 5 1/4 * 4)
(14,21)
The measure of the bedroom is 14 by 21
A car dealer recently sold five cars for the following profits: $10,126, $9,999, $12,398, $12,007, and $4,567. What was the mean for the profits of the sales?
Answers
Answer:
$9819.4
Step-by-step explanation:
We have been given that a car dealer recently sold five cars for the following profits: $10,126, $9,999, $12,398, $12,007, and $4,567. We are asked to find the mean for the profits of the sales.
Since mean is the average of numbers. So let us add all the profits and divide the sum of profits by number of cars.
[tex]\text{Mean for the profits of the sales}=\frac{10126+9999+12398+12007+4567}{5}[/tex]
[tex]\text{Mean for the profits of the sales}=\frac{49097}{5}[/tex]
[tex]\text{Mean for the profits of the sales}=9819.4[/tex]
Therefore, the mean for the profits of sales is $9819.4.
An angle measures 20° more than the measure of a complementary angle. What is the measure of each angle?
Answers
so
x + x + 20 = 90
2x = 70
x = 35
35 + 20 = 55
answer
the measure of each angle: 55 and 35
11 POINTS GUYS PLZ
Answer 12 and 14
Answers
12) 10.77 + 2.09 + 0.75 = 13.61
13.61 x 1.07 = $14.56
total amount = $14.56
14) C shows the possible combinations
Which is a unit rate ? 4 dollars to 3 cans 5 students to 2 teachers 6 hours and 1 book 3 miles 2 days
Answers
Hope this helps!
Answer:
6 hours to 1 book
Step-by-step explanation:
K+3d=8c-8d
solve for d
Answers
So we will get 3d = 8c - 8d - k
Now divide both sides by 3 to isolate d.
So d = 8/3c - 8/3d - k/3
Which of the following best describes the expression 6(y + 3)?
1.)The product of two constant factors six and three plus a variable
2.)The sum of two constant factors six and three plus a variable
3.)The product of a constant factor of six and a factor with the sum of two terms
4.)The sum of a constant factor of three and a factor with the product of two terms
Answers
The product of a constant factor of 6 and a factor with the sum of 2 terms
Answer: Hence, option '3' is correct.
Step-by-step explanation:
Since we have given that
[tex]6(y+3)[/tex]
This expression can be written in statement.
Here, we can see that there are two terms:
1) A constant factor of 6
2) Sum of two terms
So, according to options it can be written as :
The product of constant factor of 6 and a factor with the sum of two terms i.e. y and 3.
Hence, option '3' is correct.
Which factor does the width of the peak of a normal curve depend on?
Answers
Answer: The width of the peak depends on the Standard Deviation. The standard deviation is a measure used to quantify the variation or dispersion in the data set. If the standard deviation is low, this means that the set of data tends to be closer to the mean, then the width of the peak in the normal curve is small, for other part if the standard deviation is big, this means that the variation is big and the data set is more spread, this causes that the width of peak to be larger.
Which planet is 10 times as far as earth is from the Sun
Answers
A recipe for muffins calls for 3⁄5 of a cup of sugar and 4 cups of flour. If you want to make a bigger batch, using 5 cups of flour, how much sugar will you need?
Answers
cross multiply
4x = 5(3/5)
4x = 3
x = 3/4....it would need 3/4 cups of sugar
A triangle has angles that measure 30, 60, 90. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle?
Answers
10sin60=8.66
since you have the measure of the hypotenuse, add 10+5+8.66
=23.66
Which is an obtuse angle?
∠CAB
∠BAC
∠BCA
∠ABC
Answers
∠BCA ← answer
If n = 8 and 16 • 2m = 4n – 8, then m = ?
Answers
First, let's examine the question, and proceed to evaluate once we understand what we're dealing with.
"If n = 8, and 16 • 2m = 4n - 8, then m = ?"
This question is requesting for us to input the value for n, and then solve for m.
Here is our equation:
16 • 2m = 4n - 8
Let's plug in 8 for n.
Our equation should look like this now:
16 • 2m = 4(8) -8
First, let's get 4(8) by itself; Add 8 to both sides.
16 + 8 = 24
-8 + 8 = 0
Our equation is now:
24 • 2m = 4(8)
Multiply 4 by 8 to simplify the right side of the equation.
4 • 8 = 32
Now we have:
24 • 2m = 32
To solve for m, we need to isolate 2m and then divide both sides by 2.
Subtract 24 from both sides to isolate 2m.
24 - 24 = 0
32 - 24 = 8
Our equation is now:
2m = 8
Divide both sides by 2 to solve for m.
2m / 2 = m
8 / 2 = 4
Our final equation and solution is:
m = 4.
The value for m is 4.
I hope this helps!
Final answer:
The value of m is 0.75 when n = 8 and the equation 16 • 2m = 4n – 8 is satisfied, by performing simple algebraic operations to isolate and solve for m.
Explanation:
To find the value of m when n = 8 and 16 • 2m = 4n – 8, we first replace n with 8 in the second equation:
16 • 2m = 4(8) – 8
16 • 2m = 32 – 8
16 • 2m = 24
Now we divide both sides of the equation by 16 to isolate 2m:
2m = 24 / 16
2m = 1.5
Finally, to find m, we divide both sides of the equation by 2:
m = 1.5 / 2
m = 0.75
So the value of m that satisfies the given conditions is 0.75.
If p-1 is a factor of p^4+p^2+p-k the value of k is
Answers
p^4+p^2+p-k=0
1+1+1-k=0 k=3
The value of k is 3 if p - 1 is a factor of [tex]p^4+p^2+p-k[/tex]
How to determine the value of k?The expression is given as:
[tex]p^4+p^2+p-k[/tex]
The factor is given as:
p - 1
Set the factor to 0
p - 1 = 0
Add to both sides
p = 1
Substitute 1 for p in the expression and equate it to 0
[tex]1^4+1^2+1-k = 0[/tex]
Evaluate the exponents
1+1+1-k = 0
Evaluate the sum
3-k = 0
Add k to both sides
k = 3
Hence, the value of k is 3 if p - 1 is a factor of [tex]p^4+p^2+p-k[/tex]
Read more about factors at:
https://brainly.com/question/723406
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Write an equation ten times the sum of half a number and 6 is 8.
Answers
Is the equation. Hope this helped!
the x/2 means x over two
what is the value of D to the nearest tenth ?
Answers
26(26 + d) = 22(22 + 40)
676 + 26d = 22 * 62
26d = 1364 - 676
26d = 688
d = 688/26
d = 26.5 ← to the nearest tenth
For the equation x^2+3x+j=0 , find all the values of j such that the equation has two real number solutions. Show your work.
Answers
The solution is j<2.25, meaning all values of j less than 2.25 will provide two real solutions.
For the equation [tex]x^2+3x+j=0,[/tex] to have two real number solutions, the discriminant must be greater than 0. The discriminant, D, of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by [tex]D=b^2-4ac[/tex].
In this case, a=1, b=3, and c=j. Applying the values, we get:
[tex]D=3^2-4(1)(j)[/tex]
D=9-4j
For two real solutions, D>0. Therefore:
9-4j>0
To find the values of j, solve the inequality:
9>4j
j<9/4
Thus, all the values of j that satisfy j<2.25 will ensure that the equation x^2+3x+j=0 has two real number solutions.
What is the area of a triangle that has a height of 4 feet and a base length of 9 feet? 18 feet2 36 feet2 144 feet2 324 feet2
Answers
9 x 4 = 36
36/2 = 18
18 feet is the answer hope this helps!!
Express without negative exponents
Answers
1/5^-1 = 5
.4^-2 = 6.25
so it would be 5 x 6.25
2. If you have budgeted 12% of your monthly income for groceries, how much can you spend on groceries if you earn $950 bi-weekly?
Answers
bi weekly means you get paid every 2 weeks ( 2 times a month)
950*2 = 1900 per month for pay
1900*0.12 = 228 a month for food
Answer:
if you earn $950 bi-weekly, you earn 2 x 950 = $1900 per month. If you have budgeted 12% of your monthly income for groceries you need to find 12% of $1900: (1900 / 100) x 12 = 228. Answer: you can spend $228 a month on groceries.
HELPPPPPPPPPPPPPPPPPPPP
Answers
the y intercept is where x=0
x represents the number of months
when the number of months is 0, that is the initial number of games won
that looks to be a little below y=2, so maybe y=1.8?
the y intercept is y≈1.8
it represents the number of games won with 0 months of practice
B.
we can use y=mx+b
m=slope
b=y intercept
we know the y intercept
find the slope
slope=rise/run
the I'm going from x=0 to x=10
the rise is about 18.95 (from 1.8 to 20.75)
the run is 10
so slope would be 18.95/10=1.895
the equation would be y=1.895x+1.8
the points were (0,1.8) and (10,20.75)
how to write unit form for (2 tens 1 one) x 10
Answers
So for this problem, all you have to do is multiply the number of units of each place value, then multiple them all by 10.
(2(10) + 1(1))×10
21 × 10 = 210
Therefore, the number is equivalent and written as 210.
If the APY of a savings account is 2.4% and if the principal in the savings account is $2200 for an entire year, what will be the balance of the savings account after all the interest is paid for the year? A. $2200 B. $2252.80 C. $2300 D. $2205.28
Answers
To solve this problem, we must recall that the formula for money with compound interest is calculated as:
Total = Principal × ( 1 + Rate ) ^ n
Total = $2,200 × ( 1 + 0.024 ) ^ 1
Total = $2,252.80
Therefore the answer is letter B.