Answer:
6(2p-1)(p-4)
Step-by-step explanation:
Here, we want to factorize the given equation
we have to bring the right hand side values to the left
We have this as;
12p^2 - 10p = 44p - 24
12p^2 -10p -44p +24 = 0
12p^2 - 54p + 24 = 0
6(2p^2 -9p + 4) = 0
6(2p^2 -p-8p + 4) = 0
6(p(2p - 1) -4(2p - 1)) = 0
= 6(p-4)(2p-1) = 0
A circle centered at (–1, 2) has a diameter of 10 units. Amit wants to determine whether (2, –2) is also on the circle. His work is shown below.
The radius is 5 units.
Find the distance from the center to (2, –2).
StartRoot (negative 1 minus 2) squared + (2 minus (negative 2)) squared EndRoot. StartRoot (negative 3) squared + (0) squared EndRoot = 3.
The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.
Is Amit’s work correct?
No, he should have used the origin as the center of the circle.
No, the radius is 10 units, not 5 units.
No, he did not calculate the distance correctly.
Yes, the distance from the center to (2, –2) is not the same as the radius.
Answer:
3rd
C
Explanation:
Amit's mistake : The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.
The point (2,-2) is on the circle, and Amit's claim is wrong
How to determine if Amit's work is correct?The given parameters are:
Center = (-1,2)
Diameter = 10 units
Point = (2,-2)
Start by calculating the radius, r
r = diameter/2
r = 10/2
r = 5
Next, calculate the distance from the point to the center using:
[tex]r = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
This gives
[tex]r = \sqrt{(2 + 1)^2 + (-2-2)^2}[/tex]
Evaluate
r = 5
The distance from the center to the point equals the radius of the circle
Hence, the point is on the circle, and Amit's claim is wrong
Read more about circle equations at:
https://brainly.com/question/1559324
#SPJ2
please answer this question
Answer:
0.3
Step-by-step explanation:
Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.
Answer:
We have 31/36 gallons of paint left after painting the mural.
Step-by-step explanation:
"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."
==================================================================
First change each number into a improper fraction:
1 1/8 = 9/8
1 1/9 = 10/9
7/8 = 7/8
=================================================================
"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"
-We have to multiply 3/4 by 2/2 to make the denominators same.
3/4 × 2/2 = 6/8
Now subtract 6/8 from 9/8.
9/8 - 6/8 = 3/8
We will have 3/8 gallons of yellow paint.
==================================================================
"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"
- We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.
10/9 × 4/4 = 40/36
3/4 × 9/9 = 27/36
Now subtract 27/36 from 40/36
40/36 - 27/36 = 13/36
We will have 13/36 gallons of green paint.
==================================================================
"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"
-We have to multiply 3/4 by 2/2 to get a common denominator.
3/4 × 2/2 = 6/8
Now subtract 6/8 from 7/8.
7/8 - 6/8 = 1/8
We will have 1/8 gallons of yellow paint.
==================================================================
Now, we will add the leftover amounts of paint to find the answer.
3/8 + 13/36 + 1/8
Add "like terms".
4/8 + 13/36
Simplify 4/8 into 1/2
1/2 + 13/ 36
Multiply 1/2 by 18/18 to get a common denominator.
1/2 × 18/18 = 18/36
Substitute 18/36 as 1/2 in the expression.
18/36 + 13/36 = 31/36
So, We have 31/36 gallons of paint left after painting the mural.
==================================================================
Hope I helped, Have a nice day!
-Aadi x
50 POINTS- FIND THE VAULE OF X
Answer:
X=11Step-by-step explanation:
[tex]360 - 75 - 17x + 20 = 2(59)[/tex]
[tex]305 - 118 = 17x[/tex]
[tex]187 = 17x[/tex]
》
[tex]x = 11[/tex]
hope it helps...
have a great day!!
rest of the world 39 hours in 6 days if Kristen wants the same amount of hours each day how many hours did she work each day write an equation to show how you solve the problem
Answer:234
Step-by-step explanation:
pls help asap no wrong answer pls
Answer:
Answer in explanation
Step-by-step explanation:
Probability of Magic elf =
[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]
Answer:
6.66%
Step-by-step explanation:
There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.
Evaluate each expression if a = 6, b = 3, and c = 2.
A | 6 + c
B | a - b
C | 2 c
D | a - 1
E | c + 4
F | a/b
G | b ÷ 3
H | ab
If x=9 and y=−3, evaluate the following expression:4y+3x
Answer:
15
Step-by-step explanation:
4y + 3x = 4 x -3 + 3 x 9
4 x -3 = -12
3 x 9 = 27
-12 + 27 = 15
Answer:
15
Step-by-step explanation:
4(-3) + 3(9)
-12 + 27 = 15
is my answer rightt!!
Answer:
Siiiiii
Step-by-step explanation:
Evaluate 8d, when d=12
Evaluate 75/d (75 divide by d), when d = 5
Evaluate 6p^2 + 8(6 times p to the second power plus 8), when p = 4
Answer:
9615104Step-by-step explanation:
Given:
d = 12 find 8dd = 5 find 75/dp = 4 find 6p² + 8Computation:
d = 12 find 8d
8(12)
96
d = 5 find 75/d
75 / 5
15
p = 4 find 6p² + 8
6(4)² + 8
6(16) + 8
96 + 8
104
Help me find measure of angle 1!
NEED HELP ASAP
A car rental agency charges $50.00 per day plus $0.18 for each mile driven (x). The total cost for one day's rental can be calculated using the expression below.
$0.18x + $50.00
Using this expression, how much will it cost to rent a car for one day and drive 192 miles?
Answer:
I think it's $50.18 I'm not sure . hope that I helped you .
2. Find the 6th term of each geometric sequence
9, 45, 225, 1125,...
Answer:
28125
Step-by-step explanation:
The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].
Help QUICK! Pointless answers will be reported.
A model car is drawn at a scale of 21 to 1. If the model car is 9.2 in long, how long is the actual car in feet?
During a store's closing sale, everything is 65% off. Victors goes into the store to buy a shirt and a pair of pants, and spends 15.40 before tax.How much would he have spent without the sale
Answer:
$51.33
Step-by-step explanation:
Everything is off 65% so that means that $15.40 if 35% of the original price(100%-65%)
Set up Equation:
[tex]\frac{15.40}{x} = \frac{30}{100}[/tex]
Simplify:
[tex]\frac{15.40}{x} =\frac{3}{10}[/tex]
Multiply the first numerator by the last denominator and the first denominator by the last numerator
[tex]3x=154[/tex]
Divide 3 by both sides:
x= 51.33
help me please. Very much appreciated
Answer:
63mm
Step-by-step explanation:
7mm+8mm=15.
15×15=225
12×12=144(area equals base times height) add 225-144=81(here we are using the Pythagoras theory) so you search for the square root of 81 which is 9 meaning the height is 9. since we say area is 1/2base times height we should take 1/2 ×9×12=63.if the answer doesn't match with the answer in your book please tell me right away so that I can try another method thank you
Just onve more question
same as the other one
Answer:
x = 2
Step-by-step explanation:
4(5 - 2x) + 3 = 7
Distributive property , multiply (5-2x) by 4:
20 -8 x + 3 = 7
Combine like terms:
23 - 8x = 7
Inverse add and subtract:
23 - 7 - 8x + 8x = 7 - 7 + 8x
16 = 8x
Inverse divide:
16/8 = 8x/8
x = 2
Enter an expression equivalent to (a^2b^3b)^4 in the form, a^m b^n?.
write a number sentence using "of" to describe what portion of the brownie pan with purchased
Just do the proportions
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcyclist stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed
Answer:
50 km/hr
Step-by-step explanation:
OK, this is how I solved this problem.
Let r = original rate of speed
t = time after the stop to finish the trip
Time for trip without stopping is 225/r
(1) 1.5 + .5 + t = 225/r This is a time equation
(2) 1.5r + t(r + 10) = 225 This is a distance equation
(1) 2 + t = 225/r (2) 1.5r + tr + 10t = 225
2r + tr = 225
tr = 225 - 2r 1.5r + 225 - 2r + 10(225/r - 2) = 225
t = 225/r - 2
-.5r + 225 + 2250/r - 20 = 225
-5r + 2250 + 22500/r - 200 = 2250
-5r^2 + 2250r + 22500 - 200r = 2250r
5r^2 + 200r - 22500 = 0
5(r^ + 40r - 4500) = 0
5(r - 50)(r + 90) = 0
r = 50 or r = -90
The rate cannot be negative, so the original speed 50 km/hr
This not an easy problem and I hope you were able to follow my work
Answer:50km hope that helped pls mark me brainliest :))
A value of a car is $24,000. You pay it off by making payments of $6200 a year. Write and equation for when the car would be payed off
Answer: 24,000 / 6,200 = x years
Step-by-step explanation:
The car is valued at $24,000.
Yearly payments are $6,200.
The year that it will be paid off can be dtermined by calculating how long it would take $6,200 to get to $24,000.
You can do that by dividing $24,000 by $6,200.
Assume the number of years for the car to be paid off is x:
24,000 / 6,200 = x years
When solved:
= 24,000 / 6,200
= 3.87 years
Ms. Simonetti mows the lawn with a gas lawn mower. In order to work, oil
must be mixed into the gasoline. The oil to gas ratio must be 3:50. How
much oil must she put into a 2.5 L of gasoline. *
Plzz help will mark brainliest don't do it for the points plzz!!!!
Mrs. Piazza's class is voting on where to take a field trip. 1/4 of the students want to go to the zoo and 1/8 of the students want to go to the aquarium. The rest of the students want to go to a baseball game. What fraction of the class wants to go to a baseball game?
Answer:
5/8
Step-by-step explanation:
The fraction of students that went to the baseball game can be known by adding the fraction of students that went to the zoo and the aquarium and subtracting it from 1
Sum of the fraction of students that went to the zoo and the aquarium
= [tex]\frac{1}{4} + \frac{1}{8}[/tex]
[tex]\frac{2 + 1 }{8}[/tex]
= [tex]\frac{3}{8}[/tex]
Fraction of students that went to the baseball game = 1 - [tex]\frac{3}{8}[/tex]
[tex]\frac{8}{8} - \frac{3}{8}[/tex] = [tex]\frac{5}{8}[/tex]
BRAINLIEST TO CORRECT
Answer:
Step-by-step explanation:
Please find the area of this rectangle.
Answer: third choice A=6x^2-7x-3 inches squared
Step-by-step explanation:
so i am hqving trouble with a particular question and hoping somebody could help me with it. this is the particular question 47 + 10x = -10x + 7
Step-by-step explanation:
given 47 + 10x = -10x + 7
[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]
When 4 times the number x is added to 13, the result is 8. what number results when 2 times x is added to 7
Answer:
.
Step-by-step explanation:
.
Answer:
[tex]4 \frac{1}{2} [/tex]
Step-by-step explanation:
Let's find the value of x first.
From the first sentence:
4x +13= 8
Subtract 13 from both sides:
4x= 8 -13
4x= -5
[tex]x = - \frac{5}{4} [/tex]
[tex]x = - 1 \frac{1}{4} [/tex]
2 times x is added to 7 → 2x +7
2x +7
[tex]= 2( - \frac{5}{4} ) + 7 [/tex]
[tex] = - \frac{5}{2} + 7[/tex]
[tex] = 4 \frac{1}{2} [/tex]
Maria is training to be a long distance runner. She runs once every day. On the average, each day that Maria has run, she has improved her time by 20 seconds. Today she ran for the fifth time. Her time was 10 minutes 48 seconds. What was Maria's running time the first day she ran?
Answer:
9 mins and 8 secs
Step-by-step explanation:
The drama club was selling tickets to the school play. Adult tickets cost $8.00 each, and student tickets cost $5.00 each. The little theater holds 142 people and was sold out for both Friday and Saturday. The total sales for the two days were $1,940. How many people got tickets for both Friday and Saturday combined
Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.