Step-by-step explanation:
Given,
x = 4
2x - 4y = 20
Now,
2x - 4y = 20
or, 2×4 - 4y = 20
or, 8 - 4y = 20
or, -4y = 20 - 8
or, y = 12/-4
or, y = -3
therefore, y = -3
Answer:
(x,y)=(4,-3)
Step-by-step explanation:
2x-4y=20
x=4
substitute the given value of x into the equation
2×4-4y=20
solve the equation for y
y=-3
A possible solution of the system is the ordered pair
(x,y)=(4,-3)
CHECK SOLUTION!
2×4-4×(-3)=20
4=4
simplyfy the quality
20=20
4=4
since all of the qualities are true, the ordered pair is the solution of the system
(x,y)=(4,-3)
hey hi I hope this helps
Please tell me the answer fast!
The question is: Fill in the box by choosing the correct option for the given factor tree of 120
Answer:
12,2,3
Step-by-step explanation:
Answer:
12,2,3 because 10×12=120 and 3×2=6
find f(-1)+g(2)
f(x)=5x-20
g(x)=x^2+5x-11
Step-by-step explanation:
f(x) = 5x - 20
f(-1) = 5(-1) - 20 = - 5 - 20
= - 25
g(x) = x² + 5x - 11
g(2) = 2² + 5(2) - 11 = 4 + 10 - 11
= 3
Thus, f(-1) + g(2) = - 25 + 3 = - 22
Answer:
Step-by-step explanation:
Substituting x as -1 in f(x), f(-1)
F(-1)=5(-1)-20
F(-1)=-5-20
F(-1)=-25
Substituting x as2 into g(x), g(2)
G(x) =2^2+5(2)-11
G(x)=4+10-11
G(x)=3
F(-1)+g(2)=-25+3
=-22
A high school track is shaped as a rectangle with a half circle on either side. A rectangle has a length of 85 yards and width of 25 yards. 2 semicircles with diameters of 25 yards are on each end of the rectangle. Jasmine plans on running three laps. How many yards will Jasmine run? Use 3. 14 for Pi. 248. 5 yd 490. 5 yd 725. 5 yd 745. 5 yd.
perimeter=2(85)+π(12.5)=220+2×12.5π
=170+25×3.14
=170+78.5
=248.5
distance ran=3×248.5=745.5 yards.
i hope this work for you
Q. no. 1
a. Find the product of x2 * x in exponential form.
Answer:
x to the power of 3 or x^3
PLEASE HELP ME ASAP ITS DUE IN 10 MINUTES
Answer:
Please see below :)
Step-by-step explanation:
I'll give the letters and match it with the numbers:
a - 3
b - 2
c - 4
d - 1
e - 2
f - 4
g - 1
h - 3
Please let me know if any of these are incorrect!
This is solving equations- word problems I need help pls
Answer: x=5
Step-by-step explanation:
18+0.85x=22.25
subtarct 18
0.85x=4.25
divide by 0.85
x=5
Which intersection forms a parabola?
Answer
A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.
Step-by-step explanation:
Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.
Determining Possible Side Lengths
The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200 miles.
Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?
< d
Answer:
300<d<700
Step-by-step explanation:
Answer:
300 < d < 700
Step-by-step explanation:
we know thatin the triangle ABCAB=500 milesBC=200 milesAC=xApplying the Triangle Inequality Theorem1) 500+200 > x------> 700 > x------> x < 700 miles2) 200+x > 500----> x > 500-200------> x > 300 milesthe solution for x is 300 < x < 700
Solve the equation for x 1/2(12x-10)=1/3(9+6x)
Answer:
x =
Exact form:
- (63/2)
Decimal Form:
- 31.5
Mixed Numbers Form:
- (31 1/2)
A triangle has a base of 14 centimeters and a height of ( 3x - 4 ) centimeters . The area of the triangle is greater than 56 centimeters . Solve the inequality 1/2 (14) ( 3x - 4 ) > 56 to find the possible values of x???
show your work please
Answer:
1/2 (14) ( 3x - 4 ) > 56
14/2 (3x-4) > 56
7 (3x-4) > 56
21x - 28 > 56
21x > 56+28
21x > 84
x < 4
Answer:
x > 4 or x = (4, + oo)Step-by-step explanation:
The area of the triangle is
A = 1/2bhGiven
b = 14 cmh = 3x - 4Then
A = 1/2*14(3x - 4) = 7(3x - 4) = 21x - 28If A > 56, then solving inequation:
21x - 28 > 5621x > 56 + 2821x > 84x > 84/21x > 4 or x = (4, + oo)Factors of 81q^2 –25r^2 are
Answer:
(9q + 5r)(9q - 5r)
Step-by-step explanation:
Given :-
81q² - 25r²
To Find :
Factors
Formula :-
a² - b² = (a + b)(a - b)
Solution :-
(9q + 5r)(9q - 5r)
Scott had a balance of $1910.30 in his bank account on August 1st. On August 12th, he wrote a check to the local car shop for $75.00, then on August 21st his friend gave him a check for deposit $41.50. Then he bought groceries for 210.25. How much money does she have in her bank account?
Answer: $1,666.55
Step-by-step explanation:
The amount of money that Scott will have in the bank will be the total of the money that was in the bank at the beginning of August plus any money received, less any money that was disbursed.
= Beginning balance + check from friend - check to local car shop - cash spent on groceries
= 1,910.30 + 41.50 - 75.00 - 210.25
= $1,666.55
Figure is assuming groceries were paid for by cash from bank account.
write an equation in slope intercept form for the line that has a slope of 2/3 and y intercept of (0,-5)
Answer:
y=2/3x-5
Step-by-step explanation:
Solve the equation and enter the value of y below.
4y + 15 = 39
y=--
Answer:
y=6 is the answer
Step-by-step explanation:
4y=39-15
4y=24
y=6
You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your total
profit from the sale.
Answer:
675
Step-by-step explanation:
Answer:
675
Step-by-step explanation:
where r= the radius, and h= the height of the cone. Determine the amount of liquid a paper cone can hold with a 3-inch diameter and a 5-inch height
Answer:
11.78 in³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3(πr²h)
The cone's radius is half its diameter, so is 1.5 inches. The volume is ...
V = 1/3π(1.5 in)²(5 in) = 3.75π in³ ≈ 11.78 in³
The cone can hold about 11.78 cubic inches of liquid.
_____
Additional comment
That's about 6.5 fluid ounces.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
126 Degrees
Step-by-step explanation:
Angel Z is going to be 42 degrees so 3*42 is 126
The price of a gas increases from 2.20 per gallon on Monday to 2.31 per gallon on Tuesday. What is the percent of increase?
Answer:
4.9%
But I guess you may round to 5%, just be sure to say that you rounded from 4.9%.
Write the equation of a line with slope -1/3 and y-intercept -7
A. y=-7x-1/3
B. y=-1/3x+7
C. y=-1/3x-7
brainliest answer will be given
which of these is a factor in this expression 5z^4-3+8(y^3+4)
A. -3+8(y^3+4)
B. 5z^4 - 3
C. (y^3+4)
D. 8(y^3+4)
Answer:
Step-by-step explanation:
(y^3+7)
The correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]
What is multiplicative distribution law ?distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.
according to the question
Apply multiplicative distribution law
5[tex]z^{4}[/tex] - 3 + 8[tex]y^{3}[/tex] + 32
Combine like terms
5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]
Hence, the correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]
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Direction. Read and analyze the following word problem. Choose and write the letter of the correct answer on the blank.
Answer:
22- b
23- d
24- b
Step-by-step explanation:
22- perimeter =2(length + width)=2(40+20)=120
23- width =100m
length = 3×width =3×100=300
perimeter =2(300 +100)= 800
24= hanz perimeter = 40m
Arthur's perimeter =42m
hence Arthur needs more fence
Cesar is excited that he only has 12 months left before he pays off his credit card completely. His current balance is $3,750 and his APR is 17. 5%. But when he is involved in a car accident, he is forced to use his credit card to pay a $1,000 deductible to get his car fixed. How much will Cesar’s minimum monthly payment increase if he still wants to pay off his credit card in 12 months? a. $83. 33 b. $91. 44 c. $342. 91 d. $434. 35.
The amount by Cesar’s minimum monthly payment increase will be $91.44.
What will be the amount?Cesar only has 12 months left before he pays off his credit card completely.
His current balance = $3,750
APR = 17.5%
Now we use the formula :
[tex]\rm Present \ value \ of \ anuity= P=( 1-\frac{1+r}{r} })^{-n}[/tex]
PV = Present Value
P = Periodic payment
r = rate per period
n = number of period
Now for the first case:
PV of annuity = $3,750
P =?
r = 17.5% annually = % monthly monthly
n = 12 months
Now we put the values in the formula
[tex]3750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]
[tex]P=\dfrac{3750}{\dfrac{1-0.8405}{0.01458} }[/tex]
[tex]P=342.91[/tex]
Now for the second Case :
PV of annuity = 3750 + 1000 = 4750
P =?
r = 17.5% annually = % monthly = monthly
n = 12 months
Putting the values in the formula
[tex]4750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]
[tex]P=\dfrac{4750}{1-\dfrac{1+\frac{17.5}{1200} }{\frac{17.5}{1200} } }[/tex]
[tex]P=\dfrac{4750}{\dfrac{0.1595}{0.01458} } =434.35[/tex]
Cesar's increased monthly payment will be
434.35 - 342.91 = 91.44
Hence, the amount by Cesar’s minimum monthly payment increase will be $91.44.
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Justin has 64 ounces of lemonade to divide among 9 people. When he types 64÷9 into his calculator, the number that appears is 7.111111111. How much lemonade should he give to each person?
The number of lemonade should Justin give to each person is 7 with one lemonade still left.
It is given that Justin has 64 ounces of lemonade to divide among 9 people.
We have to find out that how much lemonade should he give to each person.
What will be the value of each part , if 120 is divided in 6 equal parts ?
The value of each part will be 120 divided by 6 or 120 ÷ 6 or 20 i.e., 120 is divided into 6 equal parts of 20 each.
As per the question ,
No. of ounces of lemonade to divide among 9 people = 64
No. of lemonade each people will get = 64 ÷ 9
or
64 ÷ 9 = 7.1111
So , we can't equally divide it because if 7 each is divided between 9 people , one lemonade will still be left.
i.e.,
7 × 9 = 63
64 - 63 = 1
1 still left
Thus , the number of lemonade should Justin give to each person is 7 with one lemonade still left.
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You need to earn at least $300 for a school fundraiser washing cars. You charge $12 for trucks
and SUVs and $8 for cars. Write an inequality that represents how many vehicles need to be washed
to earn your goal.
yoko made $323 for 17 hours of work. at the same rat how much would she make for 8 hours of work
Answer:
$152
Step-by-step explanation:
To find Yoko's hourly pay, we will divide the $323 she made after working by 17, which is the number of hours she worked:
323 ÷ 17 = 19
We now know that Yoko makes $19 an hour (dang, she's probably a doctor or something) however, we're not done yet.
We will multiply $19 by 8 hours of work to see how much she'll make after 8 hours:
19 × 8 = 152
Yoko makes $152 after 8 hours of work.
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~Roi
What is x/5 + 3 = 10 solve for x
Answer: x=35
Step-by-step explanation: hi! i’m happy to help. subtract the three from both sides, multiply the entire problem by 5 to even out the x, and there’s your answer :)
Trey started an assignment at 3:44 PM and finished it at 4:23 PM. How long did it take him? Give your answer in minutes.
Don't mind answer. Not sure if it's correct
#3`1
A bag has three marbles: one red, one blue, and one yellow. The marbles are pulled from the bag one at a time without replacing them. In how many different orders could the marbles be pulled from the bag?
The number of different orders that the marbles can be pulled from the bag is 6 ways
Combination and permutation of numbersIf a bag contains one red, one blue, and one yellow, then the total number of marbles contained is 3 marbles.
If the marbles are pulled from the bag one at a time without replacing them, the number of different orders that the marbles can be pulled from the bag is expressed as:
[tex]3C_1=\frac{3!}{(3-2)!} \\3C_1=\frac{3!}{1!}\\ 3C1=3! = 6ways[/tex]
Hence the number of different orders that the marbles can be pulled from the bag is 6 ways
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