Answer:
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11
.
6x2+4x−15x−10
Factor out the greatest common factor from each group.
2x(3x+2)−5(3x+2)
Factor the polynomial by factoring out the greatest common factor, 3x+2
.
(3x+2)(2x−5)
A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $80 a day plus $0.75 per mile to rent the same truck. Part A: Write an equation to find the number of miles in a day at which the rental costs for Company A and Company B are the same. Part B: Solve the equation.
m=number of miles
A=$110+$0.50m
B=$80+$0.80m
$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)
$30=$0.30m Divide each side by $0.30
100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.
Two trains leave stations 420 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
2hr 48 minutes
Step-by-step explanation:
65t + 85t = 420
150t = 420
t = 2 120/150 = 2 4/5 = 2hr 48 minutes
Time taken by two trains to cover 420 miles is 2hr 48 minutes.
Given, that two trains are travelling towards each other.
Relation between speed, time and distance:
Distance = Speed × Time
When the two trains are travelling towards each other the speeds of two trains are added.
When the two trains are moving in same direction then the relative speed is difference of the two.
So, here the trains are moving towards each other.
65t + 85t = 420
150t = 420
t = 420/150
t = 42/15
t = 2hr 48 minutes
Therefore total time required by two trains to meet is 2hr 48 minutes.
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PLZ HELP ME SOMEONE!!!
Answer:
131
Step-by-step explanation:
Hope this helps
Answer:
the answer is 130.9 round it up and you get 131
Step-by-step explanation:
8x - 8 - x = 3 (6 - 2x)
Answer:
x = 2
Step-by-step explanation:
8
−
8
−
=
3
(
6
−
2
)
{\color{#c92786}{8x}}-8{\color{#c92786}{-x}}=3(6-2x)
8x−8−x=3(6−2x)
7
−
8
=
3
(
6
−
2
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Help pleaseeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
22
Pablo mixes 3 units white paint and 1 unit black paint to make gray paint
Answer:
Whats the Question?
Step-by-step explanation:
DO NOW: What is the surface area of the cube? 4 in 4 in 4 in
Answer:
96 in^2.
Step-by-step explanation:
It has 6 surfaces each of area 4*4 = 16
Answer is 6*16 = 96.
Thembi leaves school at 07:10 to get to school at 07:45. How long does it take her to school and home each week?
विपरीत अर्थवाले शब्द लिखिए ।
1. नदी २. इच्छा ३. आशा ४. अपकार
Answer:
sorry I can't understand the word
I have more questions then this
Answer:
maybe 3 option
Step-by-step explanation:
hope helpful
have a great day
Can someone pls help me plsss
Answer:
the first one
Step-by-step explanation:
1/2 and 1/5 common denominator is 10
How much does each piece cost individually?
Answer:
500 for sofa
Step-by-step explanation:
I don’t get this at all help.?
Answer:
Step-by-step explanation:
a) Volume of prism: 6 units x 4 units x 7 units = 168 cubic units
b) Area of shaded base: 4 units x 7 units = 28 square units
Volume of prism: 6 x 4 x 7
I have more question then this
Answer:
A reflection over the y axis
Step-by-step explanation:
Because reflection is an image produced by or as if by a mirror.
What is the opposite of -1.2
Answer:
1.2
Step-by-step explanation:
it's so easy it's 1.2
Answer:
The opposite of -1.2 is 1.2
The opposite of a negative number is always a positive number and vice versa.
Hope this helps you!
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
The measure of angle STV is 117°. What is the measure of angle UTV
Answer:
117 - 86 = 31°
The answe is 31
x+5/x^2 = 1/3x - 1/3x^2
Answer:
x= 3√126 /3
Step-by-step explanation:
hope this helps
Eight more than the difference of −5s and −6s is equal to the sum of 3 and 7
Answer:
s=2
Step-by-step explanation:
-5s + 6s + 8 = 3 + 7
s + 8 = 10
s + 8 - 8 = 10 -8
s = 2
please help algebra ii!
Answer:-4
Step-by-step explanation:we can easily see it on the graph
how do i solve this step by step? i dont know how to set up this equation.
Answer:
Step-by-step explanation:
The two long sides on the left and right and bisected into two equal parts each
That means that since there is an angle in common to the top little triangle and the whole diagram, the little triangle on top and the whole triangle are similar.
The ratio of similarity is 1/2
10/(5x + 5) = 1/2 Cross multiply
(5x + 5)*1 = 10*2
5x + 5 = 20 Subtract 5 from both sides
5x = 20 - 5 Combine
5x = 15 Divide by 5
5x/5 = 15/5
x = 3
A man is 23 years old. His sister is 11 years old. How many years ago was the man 3 times older than
his sister ?
Yesterday, Kofi earned 50 Cedis mowing lawns. Today, Kofi earned 60% of what he earned yesterday mowing lawns. How much money did Kojo earn mowing lawns today?
The amount of money that Kojo earn mowing lawns today is 30 cedis
To determine the amount of money that Kojo earn mowing lawns today we are going to multiply the amount she earn by the her earning percentage.
Using this formula
Amount=Earning × Earning rate
Where:
Earning=50 cedis
Earning rate=60%
Let plug in the formula
Amount=50×.60
Amount=30
Inconclusion The amount of money that Kojo earn mowing lawns today is 30 cedis
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Since Kofi earned 60% of what he earned yesterday mowing lawns, today he earned 30 Cedis.
Given the following data:
Amount earned yesterday = 50 Cedis.Percentage today= 60%To find how much money Kojo earn mowing lawns today:
In this exercise, you're required to find the amount of money earned by Kofi, if he was able to make certain amount of money the previous day.
Hence, we would determine what percentage of the money he earned today.
[tex]Today's\;earnings = \frac{60}{100} \times 50\\\\Today's\;earnings = \frac{3000}{100}[/tex]
Today's earnings = 30 Cedis
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Evan used base-10 blocks to model the product of 3 and 0.51.
How can Evan use this model to determine the product?
Enter your answers in the boxes to correctly complete each statement.
Base 10 blocks are used to perform arithmetic operations.
To model the product of 3 and 0.51, Evan needs 3 copies of 5 tenths and 1 hundredths.
The expression can be represented as:
[tex]\mathbf{3 \times 0.51}[/tex]
Express 0.51 as 0.5 + 0.01
[tex]\mathbf{3 \times 0.51 = 3 \times (0.5 + 0.01)}[/tex]
0.5 means 5 tenths0.01 means 1 hundredths3 means that, the above blocks are needed in three places.Hence, Evan needs 3 copies of 5 tenths and 1 hundredths.
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help please?
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 13 fl oz per hour. How fast was the pipe leaking in gallons per day?
In the number 6855 is the 800 1/10 of 6000
Answer:
No
Step-by-step explanation:
Work out the following:
a) 3/4 - 7/9 + 2/3
Answer: 23/36
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{7}{9} +\frac{2}{3}[/tex]
You need to find a common denominator.
The common denominator is 36. You have to get all denominators to 36.
How to do that?
Example = [tex]\frac{3}{4} *\frac{9}{9} =\frac{27}{36}[/tex].
Do that to all the fractions.
[tex]\frac{27}{36} -\frac{28}{36} +\frac{24}{36} = \frac{23}{36}[/tex]
Need help with this...pronto..please
The ratio of green pepper plants to red pepper plants in Adeline's garden is 3 to 5. If there are 20 red pepper plants, how many green pepper plants are there?
A. 35
B. 16
C. 12
D. 6
Write an absolute value equation of the form |ax+b|=cx+d that has no solution. Assume that a, b, c and d ≠0
Answer:
|x+1| = x - 1 has no solution.
Step-by-step explanation:
One interpretation of |x - a| is “the distance between the numbers x and a. So |x - b| = c means that the distance between x and b is equal to c . For this to have any solutions, we need c >= 0. When c >0 there will be exactly two solutions, one to the left of b and one to the right of b. When c = 0, the solution is unique: x = b. So, now you should be able to select the only values for b and c that produce the desired set of solutions.
How do you write 0.8 as a percentage?
Answer:
.8 equals 80%
Step-by-step explanation:
To find the percentage you multiply the decimal by 100 so .8 multiplyed by 100 equals 80 or 80%