Answer:
x = 8 or x = -1 is the answer
Step-by-step explanation:
3x² - 21x -24
divide with 3
x² - 7x - 8
Factorizing,
x² + x - 8x - 8
x(x + 1) -8 (x + 1)
(x - 8) (x + 1)
x = 8,-1
George has only Quarters and nickels in his piggy bank.He has a total of 90 coins.The value of the coins is $16.10. Write and solve a system that can be used to determined how many quarters and how many nickels he has.
Answer:
The number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Step-by-step explanation:
It is important to note that:
A quarter is worth 25 cents = 0.25q
A nickel is worth 5 cents = 0.05n
George has only Quarters and nickels in his piggy bank.
Let the number of
Quarters = q
Nickels = n
He has a total of 90 coins.
Hence,
q + n = 90.... Equation 1
q = 90 - n
The value of the coins is $16.10.
Hence,
0.25q + 0.05n = 16.10....Equation 2
We substitute 90 - n for q in Equation 2
0.25(90 - n) + 0.05n = 16.10
22.5 - 0.25n + 0.05n = 16.10
Collect like terms
- 0.25n + 0.05n = 16.10 - 22.5
-0.2n = - 6.4
n = -6.4/-0.2
n = 32 nickels
Solving for q
q = 90 - n
q = 90 - 32
q = 58 quarters
Therefore, the number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Simplify this expressions 5x -7 + 3x + 10
Answer:
8x + 3
Step-by-step explanation:
=5x+−7+3x+10
=(5x+3x)+(−7+10)
=8x+3
Which of the following is equivalent to 3/33x^3y^6
Answer:
Step-by-step explanation: d
which graph represents the function f(x) = 3x-2/x-2?
Answer:
solve for x and that should help match the equation to the correct grapgh, hope this help!
Step-by-step explanation:
plz help with the question
Answer:
Step-by-step explanation:
need help, I will be gaveing out points for helpers
Answer:
The 3rd answer
Step-by-step explanation:the
180-30\2
....
=75
30+2*75=
...
180
Answer:
30 + 2x = 180
Step-by-step explanation:
This is becuase we know this triangle is an isosceles triangle. (The two markings on the sides prove that.) An isosceles triangle is when two sides (so naturally also two angles) are the same. This means the other angle is x. We know that if we add all of the angles, we'll get 180. So, 30 + x + x = 180 or "30 + 2x = 180".
Also, x = 75.
Here:
30 + 2x = 180
30 - 30 + 2x = 180 - 30
2x = 150
2x / 2 = 150 / 2
x = 75
HOPE THIS HELPED!! HAVE AN AWESOME DAY!
Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many points does Denny have?
Answer:
it is 4
Step-by-step explanation:
12 ÷ 3 = 4
3 x 4 = 12
4 x 3 = 12
Hello do any no how to do this .If so can you tell me step by step please. It is called Solving Equations Puzzle.
I'm pretty sure you have to write how much they are
Pink heart is 2
Green square is 2
Blue moon 1
Answer:
Pink Heart = 2 Green Square = 6 Blue Moon = 4
Step-by-step explanation:
h ( h x g) = (b x g) = 24 left side of table
2 (2 x 3) = (4 x 6) = 24 right side of table
h(h x g ) = 2(2 x 3) = (4 x 6) = (b x g) = 24 equivalent outcomes
Someone help and please make sure the answer is right :)
1/3 of 18 helpp please
Answer:
6
Step-by-step explanation:
the answer to 1/3 of 18 is 6.
what is the middle of 1 and 6
Answer:
The middle between two numbers is the average of those numbers. So we add those two numbers together and divide by two. And the answer is (1 + 6) / 2 = 3.5
Suzy is planning to
carpet her room. Her
room measures 12
feet by 15 feet. How
many square yards of
carpeting will she
need?
Enter an algebraic inequality for the sentence. Use x as your variable.
The quotient of three times a number and 4 is no more than 13.
Answer:
3x + 4 ≤ 13
Step-by-step explanation:
What's the answer????!!!???
Answer:
3997
Step-by-step explanation:
JUST SEARCH IT UP0202000202×0]2]×
Find h. 11 in. h = [?] in. 1 1 1 14 in. Enter
Answer:
You know that the Pythagorean Theorem is:
a²+b²=c²
,
Where:
a
is the length of one of the legs,
b
is the length of the other leg, and
c
is the length of the hypotenuse.
You know the lengths of the two legs are
7 and 11
, so we'll say that
a is 7 , and b is 11
Knowing that, we can plug those into our equation and simplify like so:
7²+11²=c²
49+121=c²
170=c²
√170=c
c=13.0384
Answer:
√72Step-by-step explanation:
Use Pythagorean:
h² + (14/2)² = 11²h² + 49 = 121h² = 121 - 49h² = 72h = √72 inFind the missing side of this right
triangle.
Answer: I believe it’s 15
Step-by-step explanation:
PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELP NO ONE HELPS ME 50 POINTS I WILL GIVE MORE PROBLEMS FOR MORE POINTS JUST PLZZZZZZ HELP
Carmen is filling a tank with water at a rate of 4 gallons per minute. The tank already had 170 gallons of water in it. Suppose the tank holds a total of 350 gallons of water. How much longer will it take her to fill the tank?
(a) Write an equation to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350.
(The variable x is used to represent the number of minutes.)
o_x+_=_
or
o_-_=_
(b) Write an expression to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350
o_+_
_
or
o_-_
_
(c) How much longer will it take Carmen to fill the tank?
_ minutes
Answer: In explanation
Step-by-step explanation: 350-170=4x
Solve 180=4x
45=x 45 minutes longer
4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying
4x+170 because that is how much gas the tank can hold. You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.
45 minutes as stated above.
The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?
identity the vertex, focus, and directrix
Answer:
vertex: (0, 0)
focus: (-7, 0)
directrix: x=7
Step-by-step explanation:
divide both sides by (-1/28) and you will get y^2=-28x-28=-4p ----> p=7focus=(-p, 0) ------> (-7, 0)directrix=x=p ---------> x=7Can any one help me 11 points no lnks pls. Just help with any of these
Answer:
5. m<1 = 114 degrees
m<2 = 66 degrees
6. 2x + 3x + 4x = 9x = 180, x = 20
7. 3
8. 1/3
Hope that helps!
-scsb
Step-by-step explanation:
Answer:
66
20
3
1/3
Step-by-step explanation: Can I get brainliest? Thanks!
5. m∠2 = 180-59-55 = 66
m∠1 = 180-66 = 114
6. 2x+3x+4x=180
x(2+3+4)=180
x(9)=180
x=180/9=20
Plug back in to check:
2(20)+3(20)+4(20)=40+60+80=180
7. (3,8) to (9,24)
(9,24)/(3,8) = (3,3) so scale factor = 3
8. (12,15) to (4,5)
(4,5)/(12,15) = (1/3,1/3) so scale factor = 1/3
Determine if this table is a linear function. If so, what is the slope?
Answer:
No, it is not linear
Step-by-step explanation:
It does not steadily increase the same interval every time.
Hope this helps (:
The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1
Answer:
If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1
The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Given that;
The given function is,
⇒ f (x) = x²
Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;
⇒ g (x) = (x - h)² + k
Where, (h,k) is the vertex of the parabola.
Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),
Therefore, the equation of parabola is,
⇒ g (x) = (x - 4)² + 1
Thus, The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Learn more about the function visit:
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(PLEASE ANSWER BEFORE 12:00 TONIGHT (March 29) TY!!)
consider a rectangular prism with length 4 and width and height d
Find an expression for the volume of the prisms in terms of d.
2. compute the volume of the prism when d=1, when d=2, and when d=1/2
Answer:
Step-by-step explanation:
The expression for the volume of the prisms in terms of d is 4d².
What is a volume?Volume is the amount of space occupied by a three dimensional shape or object. For a rectangular prism:
Volume = length * width * height
From the diagram, length = 4, width = d, height = d. Hence:
Volume = 4 * d * d = 4d²
When d = 1: Volume = 4(1)² = 4
When d = 2: Volume = 4(2)² = 16
When d = 1/2: Volume = 4(1/2)² = 1
The expression for the volume of the prisms in terms of d is 4d².
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PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd
Answer:
B
Step-by-step explanation:
Please make me branlist
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Factorization by grouping means grouping the terms with common factors before factoring.
Given the equation:
ac + ad + bc + bd
Factorizing by grouping:
= a(c + d) + b(c + d)
= (a + b)(c + d)
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
Find out more on equation at: https://brainly.com/question/2972832
1. Anthony threw a ball from the top of a 10-story building that was 165 feet
tall. The equation g(165 - h) = v2 can be used to find the maximum
height the ball can attain after being thrown from the top of the building,
Rewrite the equation to highlight the maximum height attained by the
ball, h.
Answer:
[tex]h = 165 - \frac{v^2}{g}[/tex]
Step-by-step explanation:
Given
[tex]g(165 - h) = v^2[/tex]
Required
Make h the subject
[tex]g(165 - h) = v^2[/tex]
Divide both sides by g
[tex]165 - h = \frac{v^2}{g}[/tex]
Subtract 165 from both sides
[tex]165 - 165 - h = \frac{v^2}{g} - 165[/tex]
[tex]- h = \frac{v^2}{g} - 165[/tex]
Multiply both sides by -1
[tex]-1 * - h = (\frac{v^2}{g} - 165)*-1[/tex]
[tex]h = 165 - \frac{v^2}{g}[/tex]
Can someone plz correct me I got that wrong plz I beg u
Answer:
2400
Step-by-step explanation:
Multiply (9x + 2) (2x - 3). What is the product?
Answer:
18x^2-23x-6
Step-by-step explanation:
multiply: 9x*2x-9x*3+2*2x-2*3
18x^2-9X(3)3+2(2X)-2(3)
18X^2-27x+4x-6
18x^2-23x-6
Convert the fraction below into a decimal: 9/24
Answer:
0,375
Step-by-step explanation:
Answer:
0.375
Step-by-step explanation:
BRAINLIEST 40 POINTS ALL QUESTIONS PLEASE!!
Answer:
Step-by-step explanation:
The shapes have the same height, but the base of the rectangle is half the base of the triangle. They have the same area.
:::::
area of rectangle = base × height = 4 units × 6 units = 24 units²
:::::
area of triangle = ½×base×height = ½×8 units × 6 units = 25 units²
:::::
The triangle looks bigger, but isn't. Shape affects area.
This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w.
d ≥ 36
w < 68
d ≤ 4 + 2w
Which statements must be true about their heights? Select three options.
Darius is at least 36 inches tall.
Darius is at most 36 inches tall.
William’s height is less than 68 inches.
William’s height is at least 68 inches.
Darius is less than 4 inches taller than twice William’s height.
Darius is no more than 4 inches taller than twice William’s height.
(A) Darius is at least 36 inches tall.
(C) William’s height is less than 68 inches.
(F) Darius is no more than 4 inches taller than twice William’s height.
Step-by-step explanation:
edge2022
The inequality w < 68 can be written as William’s height is less than 68 inches.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.
Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')
Here, d ≥ 36
Darius is at least 36 inches tall.
w < 68
William’s height is less than 68 inches.
d ≤ 4 + 2w
Darius is no more than 4 inches taller than twice William’s height.
Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.
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