Answer: 4 5/12 miles
Step-by-step explanation: To add or subtract two fraction, you need to find a common denominator. The easiest way to do that is to just multiply the denominators of the two fractions together. 3 x 4 = 12 so I'll use 12 as my common denominator. Now that we have that, we have to convert the numerators. We must multiply the numerators by the same number we multiplied or denominators by to get the common denominator. 3 x 4 = 12, 4 x 3 = 12, 2 x 4 = 8, 3 x 4 = 12. Now the fractions we have are 9/12 and 8/12. Since they have the same denominator now we can add them. 9/12 plus 8/12 equals 17/12 or 1 and 5/12 written as a mixed number. We also add the whole numbers. 1 plus two equals 3. 3 plus 1 and 5/12 equals 4 and 5/12.
Simplify the expression:
5.2a -(4.5a +4.8a)
Answer:
-4.1a
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
5.2a - (4.5a + 4.8a)
Step 2: Simplify
Combine like terms: 5.2a - (9.3a)Combine like terms: -4.1aSimplify:
3x (x^2 + 5x – 4)
The answer is 3x^3+15x^2-12x.
What is the value of b if (3 + i) and (3 - i) are complex roots of 2x² + bx + 20 = 0?
A. -12
B. -6
C. 6
D. 10
In a recent survey, 55% of cellphone owners said they text message, what fraction of cellphone owners is this?
Answer:
11/20
Step-by-step explanation:
[tex]55\% = \frac{55}{100} = \frac{11}{20} [/tex]
Please help, this is called Writing Equations
PLSSSSSSSS HELP MEEEEE ITS DUE SOON
Answer: A = w/p
Step-by-step explanation:
A = w/p
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Answer:
Step-by-step explanation:
I just need some points
You are traveling to Sacramento, CA from Los Angeles, about 375 miles by train. If the train travels an average speed of 30 mph, how long will it take to reach Sacramento?
Answer:
12.5 hours
Step-by-step explanation:
divide 375 by 30 and you get how many hours it would take
12.5
Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3
Answer:
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Step-by-step explanation:
Least Common Multiple
We are given the polynomials
[tex]5m^7+ 35m^6+50m^5[/tex]
[tex]-20m^5-80m^4+100m^3[/tex]
Find the common factors of each polynomial, first the coefficients:
5 = 5
35 = 5*7
50 = 5*5*2
The common factor with the least exponent; 5
Now for the variables:
[tex]m^7, m^6, m^5[/tex]
The common factor with the least exponent; m^5
LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]
Similarly:
20 = 2*2*5
80=2*2*2*2*5
100 = 2*2*5*5
Common factor of the coefficients: 2*2*5=20
Common factor of variables: [tex]m^3[/tex]
LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Rearranging formula
18
4 friends weigh themselves. Bert is 20kg heavier then Arlo. Cassie is 5 kg lighter then Bert and Donnie is half of Berts weight. If their average weight is 57kg how much does Arlo weigh?
Answer:
Arlo's weight = 52.3 kg
Explanation:
Let Arlo be "x"
Then,
Arlo = x
Bert = x+20 (Because Bert is 20 heavier than Arlo)
Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)
Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)
Average = 57
Step by step Calculations:
57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex] (The whole divided by 4 because the total people is 4)
57*4 = x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]
228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]
228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]
193 -3x = [tex]\frac{x+20}{2}[/tex]
2(193 - 3x) = x + 20
386 - 6x = x + 20
386 - 20 = x + 6x
366 = 7x
x = [tex]\frac{366}{7}[/tex]
x = 52.3 kg (corrected to 3 significant figures)
Therefore Arlo's weight is 52.3 kg
9p - p + 8q - 40 + 12q
Answer: 8p+20q-40
Step-by-step explanation:
Answer:
8p+20q-40Step-by-step explanation:
[tex]9p - p + 8q - 40 + 12q[/tex]
Collect like terms and simplify
[tex]9p - p + 8q + 12q - 40 \\ 8p + 20q - 40[/tex]
The difference of n and 2 is 10
Answer:
n-2=10
n=10+2
n=12
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Answer:
12
Step-by-step explanation:
n - 2 = 10
(add 2 to the other side (Addition property of equality))
10 = n
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what is 2 2/5 divided by 2 1/5
Answer: 1.09090909091
Step-by-step explanation: I hope it helps
2. Name two lines in the diagram.
1)JK, LB
2)MA,JD
3)KC, DA
4)MI,EF
Answer:
answer is third option KC,DA
What are the solutions of the inequality?
-4(-2x+3) > 8x – 14
can someone explain why it’s infinitely many solutions?
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
Simplify 6° = 63
O A. 126
O B. 66
O C. 6-6
O D. 63
Answer:
i think its c 6-6 so good luck
Which number is a reasonable estimate for 637x35?
Answer:
20,000
Step-by-step explanation:
if you multiply those numbers you get 22,295 which rounds to 20,000
Estimate:
26k
Out of the answer choices you commented on another answer, that's the one I chose.
This recipe makes 12 flapjacks.
How much of each ingredient is needed to make 42 flapjacks by following this recipe?
Recipe: Makes 12 flapjacks
140 g margarine
120 g sugar
100 ml syrup
240 g oats
50 g raisins
PLEASE HELPPP
Answer:
Step-by-step explanation:
just times everything 3.5 as 42/12=3.5
490g margarine
420g sugar
350ml syrup
840g oats
175g raisins
If a right hexagonal prism became an oblique hexagonal prism, would that have any effect on the volume and height of the
solid? Explain your answer.
Answer:
Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.
Step-by-step explanation:
sample answer
4+6x=-3+7x
please helppp it’s due tmr
Answer:
x is equal to seven.
Step-by-step explanation:
To solve this you can move like terms to each side, then divide both sides by the coefficient of x:
4 + 6x = -3 + 7x
6x -7x = -3 - 4
-x = -7
x = 7
If Marisa saved for 10 weeks, how
much money would she have now?
Answer:
125
Step-by-step explanation:
10*10=100+25=125
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Please I need help!!
Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. How many gallons of pure alcohol should he add?
Answer:
2 gallons
Step-by-step explanation:
25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.
Two gallons of pure alcohol should he add to make hand sanitizer that contains 50% alcohol.
Percentage:Given that, 4 gallons of hand sanitizer that contains 25% alcohol.
25% of 4 gallons is 1 gallons. It means that out of 4 gallons, 1 gallon are pure alcohol and 3 gallons are non- alcohol.
We have to make a hand sanitizer that contains 50% alcohol.So that, when we add 2 gallons of alcohol in the 4 gallons of hand sanitizer.Then, that hand sanitizer that contains 50% alcohol.
Learn more about the percentage here:
https://brainly.com/question/19247356
Find the value of x.
x-2
12
36
18
24
27
36
11
9
10
12
Please help!
What is the value of x?
Answer:
12
Step-by-step explanation:
Answer: 10
Step-by-step explanation: Each side if the smaller shape is multiplied by 1.5 to get the dimensions of the larger shape. To find the value of x, you divide 12 by 1.5. Then you add 2 to that answer to get the value of x. [tex]12/1.5 = 8 + 2 = 10[/tex]
The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 miles, how many miles can be driven on 18 gallons of gas?
Answer:
3672
Step-by-step explanation:
If 8 gallons of gas were used to drive 204 miles multiply 18x204=3,672 miles
The car be driven 459 miles on 18 gallons of gas.
What is linear proportionality?A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.
Given,
8 gallons of gas is used to drive 204 miles.
Also, the number of miles driven varies directly with the number of gallons of gas used.
Therefore, (number of miles)/18 = 204/8
number of miles = 18 × (204/8)
= 18 × 25.5
= 459 miles
Hence, the car be driven 459 miles on 18 gallons of gas.
To learn more about proportionality visit:
https://brainly.com/question/2548537
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please help. i stayed up all night finishing this schoolwork i need help pleaseee please omg im begging someone to help me
Answer: Choice D) [tex]x = a\left(1-\frac{y}{b}\right)[/tex]
================================================
Work Shown:
[tex]\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\[/tex]
Explanation:
First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.
what is the answer to 5.6 times 10/11
Answer:
5.09
There will be a dash over .09
Step-by-step explanation:
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Answer:
use brainly
Step-by-step explanation:
Find the distance between (3,4) and (3,9) 
Answer:
5
Step-by-step explanation:
x values are equal, so 9-4 = 5