Answers
Answer:
Step-by-step explanation:
Begin by combining like terms and then factoring. Combining like terms will give you
[tex]10p^2-17p-20=0[/tex] Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.
a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:
1. 200; 2, 100; 4. 50; 5, 40; 8, 25; 10, 20
The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:
[tex]10p^2-25p+8p-20=0[/tex] and then factor by grouping:
[tex](10p^2-25p)+(8p-20)=0[/tex] and factor out from each set of parenthesis what is common:
[tex]5p(2p-5)+4(2p-5)=0[/tex] again factor out what is common:
(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are
2p - 5 = 0 so
2p = 5 and
p = 5/2 and
5p + 4 = 0 and
5p = -4 so
p = -4/5
Related Questions
find the value of x when y=37 y=9-7x
Answers
Answer:
-4
Step-by-step explanation:
The equation can be rewritten as
37=9-7x
Subtract 9 from both sides
28=-7x
Divide both sides by 7
4=-x
This means that X is equal to -4
Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?
Answers
Answer:
7 rides
Step-by-step explanation:
38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.
Explanation in steps: 38/5=7 with a remainder of 3. He can only take 7 rides because he needs 5 tickets to ride.
plese help 40 pts and brainliest if correct
Answers
Erin is volunteering at a soup kitchen. At the start of her shift, she is provided with a 16.3-
ounce jar of peanut butter. She uses it to make peanut butter sandwiches, each with 0.8
ounces of peanut butter. How much peanut butter will be left after Erin makes 20
sandwiches?
Answers
Answer:
0.3
Step-by-step explanation:
total:16.3
20*0.8=16 (amount she will use)
16.3-16=0.3
Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?
Answers
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
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What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10
Answers
it's C 0.03
0.03= 3%
0.30= 30%
3.00= 300%
I need help. Whats the answer?
Answers
One day the temperature started at - 8° F and dropped 17° by the end of the day. What was the temperature at the end of the day?
Answers
Answer: -8 - 17 = -25
Step-by-step explanation: I HOPE THIS HELPS
Answer:
-25° F
Step-by-step explanation:
We start off at - 8° F
The temperature drops 17 degrees by the end of the day
The temperature is now - 8 - 17 = -25° F
1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.
Answers
The area of the shape is 110 square centimeters
From the diagram, the shape can be subdivided into rectangles of the following dimensions:
6cm by 11cm5cm by 6cm7cm by 2cmSo, the area of the shape is the sum of the areas of the three rectangles.
This gives
[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]
Evaluate the products
[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]
Add the terms
[tex]Area = 110cm^2[/tex]
Hence, the area of the shape is 110 square centimeters
Read more about areas at:
https://brainly.com/question/8408690
#1
Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197
Please help will mark as brainliest
Will report if any links
Answers
Answer:
= 188, x = 7.89, s = 2.23
Step-by-step explanation:
= 188, x = 7.89, s = 2.23
Write the following five interest rates in descending order (greatest to least): 5.51%, 5 1/2%, 5 5/8%, 5.099%, 5.6%
Answers
Answer:
5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%
Step-by-step explanation:
5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…
So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.
The descending order of interest rates is
5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %
What is Descending Order?
When numbers are arranged in descending order, they are done so from largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.
Given data ,
Let the total number of data be = 5
Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }
On simplifying the elements in the set , we get
5.51 % = 5.51 / 100
5 1/2 % = 5.5 / 100
5 5/8 % = 5.625 / 100
5.099 % = 5.099 / 100
5.6 % = 5.6 / 100
Now , the arranging the numbers in the descending order , we get
Hence , the interest rates in the descending order is
5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %
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Rachel finished 3/4of the race in 6 hours. How long was the entire race?
Answers
Answer:
it will take a total of 8 hours to finish the race
Step-by-step explanation:
6h÷3/4=8
8% of 60 is half of what number
Answers
Answer:
9.6
Step-by-step explanation:
8% of 60 is 4.8
4.8 is half of 9.6
hope this helps! :D
have a miraculous day!! <3
Answer:
9.6
Step-by-step explanation:
8% of 60 is equal to 4.8
To find what 4.8 is half of, multiply 4.8 by 2
4.8 times 2 equals 9.6
What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?
Answers
When solving this equation I took the point given (1,4) and subtracted five units from one and five units from four. The reason being because they are asking you what the translation would be if 1 were to be moved 5 units the left causing it to be negative and moving 4, 5 units down causing it also to be negative because of its direction being moved.
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)
Find the solution
Y = -3x - 5
Answers
-5/3
Explanation:
A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?
O 20
O 5
02
O 16
Answers
The sample standard deviation is 2. Therefore, the correct answer is option C.
Given that, a sample of n=5 scores has M=20 and s²=4.
The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.
The standard deviation is simply the square root of the variance;
Here, [tex]s=\sqrt{4}[/tex]
[tex]s=2[/tex]
Therefore, the correct answer is option C.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
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help plz I don't know what I'm doing
Answers
Answer:
d
Step-by-step explanation:
Answer:
Sorry for the late response / Its D
Step-by-step explanation:
Plz mark brainliest
44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *
Answers
Answer:
check online for more information
c. What variable will be eliminated when the equations are combined after
the multiplication? (1 point)
Answers
Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.
Step-by-step explanation: Happy to help :D
A donut shop made 50 donuts. They put frosting on 2 of the donuts. What is the ratio of the
number of donuts with frosting to the number of donuts without frosting?
50:48
2:48
50:2
2:4
Submit
Answers
Answer:
50-2
Step-by-step explanation:
there is 50 donuts and 2 that are frosted :)
Step-by-step explanation:
2 have frosting, therefore 50-2 = 48 don't.
so, the ratio is for frosting vs. non-frosting
2 : 48 (which would be also 1 : 24).
Mo has a bag of sweets she has 3 chews and2 mints left Seh picks out a sweet what is the probability that she picks a mint
Answers
Answer:
2/5
Step-by-step explanation:
If she has 3 chews and 2 mints left, the probability that she picks a mint is 2/5 as they are only 2 mints and 3 chews and 2+3 = 5. So the awnser is 2/5.
Need help l don’t understand due soon
Answers
Answer:
x = 9
Step-by-step explanation:
44 = 2(3x-5)
2(3x-5) expanded is 6x -10
44= 6x -10
+10 to both sides
=
54 =6x
54 divide by 6 = 9
x = 9
please mark as brainlesit is correct.
Answer:
First solve the paranthesis, 2*3x and 2*5, from here we will get the new equation, 44= 6x-10, now you can change sides of the known values to simplfy the question, 44+10=6x -> 54=6x, now divide each side by 6 to find x, 9=x
Step-by-step explanation:
You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Answers
Answer:
You:If it’s was 6 cups of citric I’d be to 32 water
Your friend: if it was 4 cups it’d be 12 water
Step-by-step explanation:
I believe your friends is more acidic because your Is being diluted more
Use the parabola tool to graph the quadratic function f(x) = x2 – 12x + 27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
+ Move
Parabola
Undo
Redo
Rese
10
9
8
7
6
5
D
2
3
2
1
Answers
Answer:
7
Step-by-step explanation:
you would chose 7 because it has more and less value
my Christmas present to you
Answers
and have a happy new year!
Mark sews at a constant rate. He stitches 5 pillows in 8 minutes. What is the constant of proportionality for the relation of pillow to hours.
Answers
Answer:
9
Step-by-step explanation:
9 pillows per hour i believe
Which expression is equivalent to 7 − 9 ?
Answers
Answer:
Try subtracting 9 from 7 to find the value.
Step-by-step explanation:
NO LINKS!
Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answers
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
----------------------------------
Part C: 9 (8 + 9)
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
----------------------------------
Easy! :D (if you don't mind, may I get brainliest please?)
Please help trigonometry
Answers
Answer:
= 59.36
Step-by-step explanation:
S = 207
so, tan(16) = H/S
tan(16°) = 0.28674539
so H = tan(16) * S = 0.28674539 * 207 = 59.35629573
so the tree high = 59.36 foot
Answer this question!
Answers
Answer:
I would tell you
Step-by-step explanation:
you need to put 2 y and 2 x and that you need to divide
