You are printing out information packets for your company. You will need a total of 6,400 pages to complete all of the packets. How many reams of 500 pages each will you need in order to print out all of these packets?
Answer:
13 reamsStep-by-step explanation
Given
Total number of pages to complete the packet = 6400 pages
If each ream contains 500pages, then:
Total number of reams needed = Total pages/number of pages per ream
Total number of reams needed = 6400/500
Total number of reams needed = 12.8
Hence you will need about 13 reams for all the packets
Please Help me! 15 Points!
Which expressions are equivalent to 2(b + 3c) ?
A: 3(b+2c)
B: (b + 3c) + (b + 3c)
C: 2(b) + 2(3c)
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step by Step instruction :)))
we have
2 (b+3c)
Distribute the number 2
2(b+3c) = 26 + 2(3c) = 26 + 6c
Verify each case
Case A) 3(b+2c)
distribute the number 3
3(b + 2c) = 36 + 3(2c) = 36 + 6c
3b + 6c is NOT equal to 2b + 6c
therefore
Choice A is not equivalent to the given expression
Case B) (b+3c)+(b+3c)
Combine like terms
b + 3c) + (b + 3c) = (b + b) = 3c + 3c = 26 + 6c
2b + 6c = 26 + 6c
therefore
Choice B is equivalent to the given expression
Case C) 2(b)+2(3c)
Multiply both terms by 2
2(b) + 2(3c) = 2b + 6c
2b + 6c = 26 + 6c
therefore
Choice C is equivalent to the given expression
♡Hope it helps♡
Answer:
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step by Step instructions:
we have
2 (b+3c)
Distribute the number 2
2(b+3c) = 26 + 2(3c) = 26 + 6c
Verify each case
Case A) 3(b+2c)
distribute the number 3
3(b + 2c) = 36 + 3(2c) = 36 + 6c
3b + 6c is NOT equal to 2b + 6c
therefore
Choice A is not equivalent to the given expression
Case B) (b+3c)+(b+3c)
Combine like terms
b + 3c) + (b + 3c) = (b + b) = 3c + 3c = 26 + 6c
2b + 6c = 26 + 6c
therefore
Choice B is equivalent to the given expression
Case C) 2(b)+2(3c)
Multiply both terms by 2
2(b) + 2(3c) = 2b + 6c
2b + 6c = 26 + 6c
therefore
Choice C is equivalent to the given expression
The cost of renting a boat at a lake is $35 per hour plus $5 for life jackets. Write an
• equation in slope-intercept form that can be used to calculate the total amount you would pay for
renting a boat. (assume only you need a life jacket)
Answer:
y = 35x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b
m is the slope, b is the constant, or y-intercept.
In this case, 5 is our constant. You pay a one-time fee of $5 for a life jacket. This price doesn't change nor do you have to pay it again, so this is your constant.
35 is our slope. 35 represents the $35 you pay for each hour with the boat. This is our slope because it will change overtime, based on x, or the number of hours you are renting the boat.
y is the total cost, since you have to add up $35 times the number of hours you are renting, plus the $5 for the life jacket.
Evaluate (-A) to the second powerfor A = 5, B = -4, and C = 2.
-5
0-25
025
Answer:
-4
Step-by-step explanation:
For the following right triangle, find the side length x.
Answer:
x = 17
Step-by-step explanation:
Since its a right triangle, you can use Pythagorean Theorem.
8² + 15² = x² (Given)
64 + 225 = x² (Simplify)
289 = x² (Add like terms)
17 = x (Square root both sides)
Write an integer that represents spending $40
Answer:
-40
Step-by-step explanation:
you are subtracting 40.
Translate this sentence into an algebraic inequality.
3 more than the product of x and 12 is less than 25.
Select one:
a. 12x + 3 < 25
b. 3 > 12x – 25
c. 3 > 12(x - 25)
Answer:
Option A
Step-by-step explanation:
Lets convert each sentence into algebric inequality.
3 more than product of x & 12 :-[tex] = > 12x + 3[/tex]
Now , 12x + 3 is less than 25 :-[tex] = > 12x + 3 < 25[/tex]
The ratio of boys to girls in a group is 7:2. If there are 60 more boys than girls, work out how many girls there are.
Answer:
Step-by-step explanation:
So, kids are divided into 8 total parts.
7 - 1 = 6 more parts that are boys. The 48 extra boys are those 6 parts.
48/6 = 8 boys per part
All parts have the equal number of kids, so one part girls also has 8.
There are 8 girls (and 56 boys. 8:56 = 1:7).
1. The cheerleading squad is selling hot dogs and cookies for a fundraiser. The cost of each hot dog is $1.50 and the cost of each cookie is $0.75. How many hot dogs and cookies can a person buy with less than $15?
Answer:
5 hot dogs and 9 cookies
Step-by-step explanation:
1.5(5)+0.75(9)<15
7.5+6.75=14.25
1. Simplify -3(2x+4)-2
6х+12
-5x-9
-6х-14
-X-2
Answer:
-6x-14 is the answer. Thx.
Step-by-step explanation:
-3(2x+4)-2
6x-4-2
6x-6
Find the slope and the y-intercept of the line.
y=-1/2x+8 PLS HEEEEEEEEEEEEEELP
Answer:
slope: -1/2
y-intercept: 8
Step-by-step explanation:
y=mx+b is the linear equation
m=slope
b=y-intercept
When buying a car, Esther can choose a 2-door or 4-door car with leather or cloth interiors in black, silver, or white. How many different combinations can be made with the car options?
Answer value
Answer: I think 12
Step-by-step explanation: all the posibilitys-
1. 2 doors
2. 4 doors
3. silver
4. black
5. white
6. cloth
7. leather
What is the ratio of the calories Robyn
burned on Wednesday to the calories she
burned on Monday?
A. 4:3
B. 3:2
C. 5:3
D. 5:4
Answer:
Step-by-step explanation:
7
Pls tell me what I put under m and +b
this qeustion cannot be solved! never seen it before andusally there is a number instead of a y
a hockey team scored the following number of goals in their last 5 games: 2,3,5,3,2 which is the mean absolute deviation of the number of goals?
The required mean absolute deviation of the number of goals is 0.8.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
The mean absolute deviation of the number of goals is a measure of how far the individual scores deviate from the mean (average) score.
To find the mean (average) score:
Mean = (2 + 3 + 5 + 3 + 2) ÷ 5 = 15 ÷ 5 = 3
Next, we find the absolute deviation for each score:
Absolute deviation for score 2: |2 - 3| = 1
Absolute deviation for score 3: |3 - 3| = 0
Absolute deviation for score 5: |5 - 3| = 2
Absolute deviation for score 3: |3 - 3| = 0
Absolute deviation for score 2: |2 - 3| = 1
Mean absolute deviation is given as,
= (1 + 0 + 2 + 0 + 1) ÷ 5 = 4 ÷ 5 = 0.8
So, the mean absolute deviation of the number of goals is 0.8.
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Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
Which component is missing from the process of photosynthesis?
Carbon Dioxide + ________ + Sunlight → Glucose + Oxygen
Light Energy
Sugar
Plants
Water
Answer:
Water i hope it is correct
Can someone help me please
find the probability of the compound event.
not spinning a 2 and flipping heads
there are 4 sections on the spinner.
Answer:
67
Step-by-step explanation:
The length of a ship is 247 metres, correct to the nearest metre.
Write down the minimum length of the ship.
Answer:
246.50
Step-by-step explanation:
7th grade work help please
will give brainliest:)
Answer: 67.27
Step-by-step explanation:
7.1 x 7.1 for the square = 50.41
7.1 divided by 2 = 3.55
3.55 x 4.75= 16.86
Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same
Add the 50.41 and the 16.86 and you have your answer!
What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x9
Ox=-13
O x=
Ox=2
Ox=3
13
The solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2(4-3x)+5(2x-3) = 20-5x+9
x is the variable in the equation.
Plus and minus are the operators
Apply distributive property.
8-12x+10x-15=20-5x+9
Take the variable terms on one side and constants on other side
5x-12x+10x=20-8-15+9
3x=6
Divide both sides by 3
x=2
Hence, the solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
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Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate.
How many liters of water does he drink in 3 hours?
Answer:
6
Step-by-step explanation:
Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?
2 dollars for each pencil
Answer:
Two dollars each
Step-by-step explanation:
Answer:
6/3 is 2. That's the total cost of each pencil.
Step-by-step explanation:
37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?
Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
Terry sees this offer refurbished phone 35% off now only £78 how much was the phone before the discounted price
Answer:
the price before the discounted price is £120
Step-by-step explanation:
The computation of the price before the discounted price is shown below:
After giving 35% off the price is £78 that means it is 65% value
So we have to determine the 100% value
So,
= £78 × 1 ÷ 0.65
= £120
Hence, the price before the discounted price is £120
Nicholas bought 24feet of fabric at afabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholaspaid with a $50bill, how much change should he have received?
Answer:
24x1.35=32.4
He should have recieved $32.40 in change.
a camera listed price of $535.98 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sale tax included. Round your answer to the nearest cent, IF needed.
Answer:
The camera's final price will be $588.24.
Step-by-step explanation:
First you want to turn the percent into a decimal. 9.75%=.0975
Then, you want to multiply 535.98 by .0975.
You get $52.26 when you round to the nearest cent. The you add 52.26 to the original price and you get your answer!
A jar contains 21 marbles: 8 white, 3 green, and 10 red. Write the described ratio in simplest form.
A. number of white marbles to number of green marbles.
Answer:
The question you posted was a bit confusing for me, but I'm assuming that you want the simplified ratio of the number of white marbles to the number of green marbles.
The answer would be 8:3.
Step-by-step explanation:
There are 8 white marbles and 3 green marbles, so you get 8:3. And since 8 and 3 are relatively prime, no simplifying is needed.
The answer is 8:3.
What is the difference between a system of equations and a system of inequalities?
(Pls help man it’s worth like 25 points im desperate because I have no brain)
Answer:
"The solution(s) of a system of linear equations give points of intersection of specific lines or planes. The solution(s) of a system of linear inequalities give areas of intersection wherein any specific pair of points or lines are solutions. PROCESS-WISE there are little differences between solving systems."
Step-by-step explanation:
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