from the sum of 3a^2-ab-2b^2 and 2a^2+5ab-3b^2 subtract a^2-3ab-4b^2
4a^2+7ab-b^2
Step-by-step explanation:
Add the first two equations together:
3a^2-ab-2b^2
+ 2a^2+5ab-3b^2
---------------------------
5a^2+4ab-5b^2
Subtract that answer from the remaining trinomial:
5a^2+4ab-5b^2
- a^2-3ab-4b^2
--------------------------
4a^2+7ab-b^2
Answer:
4a^2 + ab - 9b^2
Step-by-step explanation:
First, perform the indicated addition:
3a^2-ab-2b^2
2a^2+5ab-3b^2
------------------------
5a^2 + 4ab - 5b^2
From this sum we subtract a^2 - 3ab - 4b^2:
5a^2 + 4ab - 5b^2
-(a^2 - 3ab - 4b^2
------------------------------
4a^2 + ab - 9b^2
Please help me with this
Answer:
x=8
Step-by-step explanation:
The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.
The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.
what is the ratio for 0.875?
The simplified ratio for 0.875 is 7:8 .
To express the ratio for 0.875, we need to convert the decimal value to a ratio form.
0.875 can be written as 875 / 1000 because the decimal value is equivalent to the fraction obtained by dividing the numerator by the denominator.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 125 in this case.
Dividing 875 and 1000 by 125, we get:
875 / 125 = 7
1000 / 125 = 8
So, the simplified ratio for 0.875 is 7:8 .
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Hilary walked 18 yards from her house to the library. Then she walked 288 feet to the post office. What is the total distance in yards Hilary walked? Use the conversion chart below to solve.
Answer:
37 yards
Step-by-step explanation:
Given data
Distance from house to the library= 18 yards
Distance from the library to the post office= 288 feet
Total distance in yards, first let us have all units to yards
288ft to yard= 96 yards
Hence the total distance in yards is
=18+19
=37 yards
A bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models the balance of Stephani’s account, B(t), in dollars, as a function of time, t, in months?
a: B(t) = 325(0.0995)t
b: B(t) = 325(0.005)t
c: B(t) = 0.05(325)t
d: B(t) = 325 + 12(0.005)t
The required, function that models the balance of Stephani's account is
[tex]B(t) = 325(0.005)^t[/tex]. Option B is correct.
The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, can be determined using the given information.
Given:
Bank charges a fee of 0.5% per month for having a checking account.
Stephani's account has $325 in it.
The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, is:
b: [tex]B(t) = 325(0.005)^t[/tex]
In this function, the initial balance is $325, and the bank charges a fee of 0.5% per month, which is equivalent to 0.005 as a decimal. The exponent "t" represents the number of months, and with each passing month, the balance is reduced by 0.5%.
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Please help me with the question
Answer:
3
Step-by-step explanation:
Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.
plz answer fast today
Answer:
5 + 5 + 3 × 7
Step-by-step explanation:
Correct me if I'm wrong.
Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark. How much shorter with their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead?
Answer:
If they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.
Step-by-step explanation:
Given that Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark, to determine how much shorter would their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead the following calculation must be performed, using the Pythagorean theorem:
14 ^ 2 + 48 ^ 2 = X ^ 2
196 + 2,304 = X ^ 2
√ 2500 = X
50 = X
14 + 48 - 50 = X
62 - 50 = X
Thus, if they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.
The ratio of people at a baseball game to bags of peanuts sold is 12:1. If there are 480 people, how many bags of peanuts will be sold?
I don't know how you 50th your mind to the fact 7days 7days I know that was 50th and I had no doubt about that can happen in a few months but his dream is the next one to get money to go some other time and do a few more pains in your car and get a better feel of what is the best thing for the use sharks live to the point in which 50th the world is not healthy and it
Answer: 40
Step-by-step explanation: For every 12 people, 1 bag of peanuts is sold. So for 480 people, which is 40 of 12 people, there must be 40 of 1 bag of peanuts, or 40 bags of peanuts, hope this helps!
Are there outliers in the set of data below? Hint: Use your formulas from the lesson
52, 58, 62, 66, 67, 68, 68, 70, 70, 72, 73, 74, 76, 84, 90
Question 1 options:
52 and 90
68 and 70
There are no outliers
pls help
utilizando as propriedades dos radicais calcule ⁵√32⁵
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The length of a rectangular frame is 15 inches and the width of the frame is 8 inches. What
is the length of the diagonal of this frame in inches?
Record your answer. Be sure to use the correct place value.
2. Including the outlier, what is the Q1, Q3, and IQR of the data set?
id
A.Q1 = 29; Q3 = 29; IQR = 2
B.Q1 = 27; Q3 = 29; IQR = 28
C.Q1 = 28; Q3 = 27; IQR = 1
D.Q1 = 27; Q3 = 29; IQR = 2
2 hot
Solve the below equations put the answer in radical form.
If the mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3. Then what is the value of 'x'.
Answer:
x = 3
Step-by-step explanation:
Given that,
The mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3.
We need to find the value of x.
We know that, Mode is the number in a data with Max frequency. x can be 3 or 7. If x = 7, mode becomes 7 and if x = 3, mode equals 3.
Hence, the value of x is equal to 3.
What is the measure of angle C?
Answer:
angle C = 36°
Step-by-step explanation:
Fun fact that I found out:
all interior angles of a triangle added together = 180°
5x + 3x + 2x = 180°
combine like terms:
10x = 180°
divide both sides of the equation by 10:
x = 18°
angle C = 2(18°) = 36°
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
Answer: 60
Step-by-step explanation:
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is
0.07 and the probability that the flight will be delayed is 0.19. The probability that it
will not rain and the flight will leave on time is 0.75. What is the probability that it is
raining and the flight is delayed? Round your answer to the nearest thousandth.
Step-by-step explanation:
P(rain and flight delayed) = P(rain) x P(flight delayed) = 0.07 x 0.19
= 0.013 (nearest thousandth)
Answer: 0.01
Step-by-step explanation:
the person above did it wrong, this answer is for sure correct.
Given f(x)=9+x and g(x)=3x-2, evaluate: fg(x)
Answer:
(f*g)(x) = 3x^2 + 25x - 18
Step-by-step explanation:
(f*g)(x) represents the product of the two functions f and g:
(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,
(f*g)(x) = 25x - 18 + 3x^2, or
(f*g)(x) = 3x^2 + 25x - 18
Please help me, GodBless.
Answer:
Rate of change is 1
Step-by-step explanation:
Well rate of change in a function is basically slope
theres 1 rise and.1 run
1/1=1
So rate of change is 1
HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
please help im desperate!!!
Answer:
1st one = 4th option
2nd one = 3rd option
Step-by-step explanation:
i get alot of these please help
Answer:
18 is 3 more than 9- false
18 is 3 times as much as 6 - true
9 is 3 times as much as 27- false
9 is 3 more than 6 - true
what is the distance between (6,-7) (3,-5)
Answer:
4,684 km
Step-by-step explanation:
Aidan bought a pizza cut into 5 slices. If he ate one slice for lunch, what percentage of the pizza remained uneaten?
Answer:
80%
Step-by-step explanation:
You started of with 5/5 once one slice was eat it became 4/5
you must then convert 4/5 into a percent
To convert a fraction to a percent, divide the numerator by the denominator. Then multiply the decimal by 100.
so 4 divided by 5 =0.8
0.8 x 100= 80
80%
Grayson is deciding between two truck rental companies. Company A charges an initial fee of $40 for the rental plus $2 per mile driven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let A represent the amount
Company A would charge if Grayson drives x miles, and let B represent the amount
Company B would charge if Grayson drives a miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Grayson needs to drive 45 miles with the rented truck.
A=
B=
_______ is $_____ cheaper than _____ when driving 45 miles.
Plz before in 10mins.
Answer:
A is 10 dollar cheaper than B
Step-by-step explanation:
A : 40 dollars plus 45*2=90
90+40= 130 dollars
B:100 dollars 45*1=45
100+45= 145 dollars
Answer:
A is 15$ cheaper than b
Step-by-step explanation:
A= 40+(45*2) = 40+90=130$
b= 100+45 =145$
Factor the Expression= -3x + 12
Answer:
-3(x-4)
Step-by-step explanation:
to factor, you have to find the gcf of both numbers. the gcf is -3
Answer:
-3 (x-4)
Step-by-step explanation:
Take a negative three out of each part of the problem.
PLEASE HELP!!! ILL GIVE BRAINLIEST
A map of a highway has a scale of 2 inches=33 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch=30 miles . How far apart are the rest stops on the new map?
How many inches apart are the rest stops?
Answer:
.305
Step-by-step explanation:
Step-by-step explanation:
2/33=6/x
x=99
since there are 11 rest stops and you are trying to find the space in the middle of the two rest stops.
99/11 rest stops
9 miles in between rest stops
9/y=30/1
9/30=y
3/10=y
.3 inches=y
Hope that helps :)
Legs are 5ft and 25ft what is the hypotenuse round to the nearest tenth
Answer:
15ft
Step-by-step explanation:
Need actual help (please hurry)