Answer:
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]
[tex]y-3x=4[/tex]
[tex]-[/tex]
[tex]\underline{y-x=-4}[/tex]
[tex]-2x=8[/tex]
[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]
solve for x
[tex]-2x=8[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]
[tex]x=-4[/tex]
[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]
[tex]y-\left(-4\right)=-4[/tex]
[tex]y+4=-4[/tex]
[tex]y=-8[/tex]
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
Divide. Write your answer as a fraction or mixed number in simplest form.
10 • 3 3/4
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
The required solution to the given expression is 37 1/2 in mixed number form.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 10 ÷ 3 3/4
When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.
Thus, the required solution to the given expression is 37 1/2 in mixed number form.
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Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is x +
0.2x.
Which expression is equivalent and why?
O A. (0.2) because the cost of the haircut can be factored out.
B. 1.02x because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
C. 1.2x because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x because adding $20 to the haircut is the same as multiplying
the cost by 1.2.
Answer:
it is c
Step-by-step explanation:
Answer:C.
Step-by-step explanation:
Ape x
Help me pleaseeeeeeeeeeee
Answer:
slope = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (1, 6)
m = [tex]\frac{6-2}{1+4}[/tex] = [tex]\frac{4}{5}[/tex]
Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?
Answer:
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Step-by-step explanation:
Given that :
Let
Bruno's age = x
Mothers age = 8 + 2x
Father's age = 8 + 2x + 3 = 2x + 11
x + 8 + 2x + 2x + 11 = 94
5x + 19 = 94
5x = 75
x = 75 /5
x = 15
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?
Answer: 8.125 inches
Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125
Mario tracks his heart rate after throwing warm-up pitches before a game. In 1/4 minutes, Mario's heart beats 28 times
Answer:112
Step-by-step explanation: 1/4 divided by 28/1 = 1/112
Answer:
112 and very light
Step-by-step explanation:
what is the equation of the line in slope intercept form
Answer:
y=-5x
Step-by-step explanation:
andy has 901 cards for a big game if he gives away 789 how much does he have left
Answer:
the answer is 112
Step-by-step explanation:
901-789=112
The US spends on average 10,200 dollars on each student per year. There are about 77,000,000 students in the United States. How much money is spent on students each year? Write your answer in scientific notation first.
Answer:
10700 to the 7 power ould be your answer
Step-by-step explanation:
10700
Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?
Answer:
Step-by-step explanation:
Let's do an example.
60:90:100
100 plus 90 plus 60 is 250
ben gets 90 of that 250
or 9/25.
2(2-x) =4(-2+x)
What’s the answer?
(With work please)
Answer: x=2
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2(2−x)=4(−2+x)
(2)(2)+(2)(−x)=(4)(−2)+(4)(x)(Distribute)
4+−2x=−8+4x
−2x+4=4x−8
Step 2: Subtract 4x from both sides.
−2x+4−4x=4x−8−4x
−6x+4=−8
Step 3: Subtract 4 from both sides.
−6x+4−4=−8−4
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
............ help lost of points available
Answer:
c
Step-by-step explanation:
Please Help!!!!!!!!!!!!!!!!!
Carlo is building a wooden box that is shaped like a cube. He wants the box to have a volume of 64 cubic inches. How many square inches of wood does Carlo need to build the box?
Answer:
Area of wood required = 96 in²
Step-by-step explanation:
Since volume of a cube = Length × Width × Height
64 = (Side)³
Side = 4 inch
Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube
= 6(Area of one side of the box)
= 6(Side)²
= 6(4)²
= 96 inch²
Therefore, 96 square inches of wood will be required to build the wooden box.
Answer:
Step-by-step explanation:
1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.
2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .
3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.
4. Carlos needs 96 square inches of wood to build his box.
George records the number of questions he has answered on DFM per day over 14 days, and puts the data in the bar chart below.
Find the total number of questions.
Answer:
18 is the total number of questions George answered in 14 days.
Step-by-step explanation:
The given chart:
The x-axis is showing the total number of questions George answered The y-axis is showing the frequency of days on which George answered the questions.The given chart is showing that:
George answered the 5 questions on the first 4 days;George answered the next 6 questions on the next 5 days;George answered the next 7 questions on the last 5 days';Hence, the total questions he answered will be:
5 + 6 + 7 = 18
Therefore, 18 is the total number of questions George answered in 14 days.
Keesha will mow grass for $8 per hour write in standard form
Answer: y = 8x
Step-by-step explanation:
Eighteen subtracted from half of a number (In an algebraic expression)
Answer:
1/2x-18
Step-by-step explanation:
18 subtracted from half of a number
We assume that the "number" is x
so 1/2x is the half of a number
We now need to have 18 subtracted from that so 1/2x-18
Nora read 1/9 of a book on Monday and 2/5 on Tuesday. What fraction of the book does she have left to read
Answer:
Step-by-step explanation:
On Monday, Nora read ¼ of the book, therefore she is left with ¾ of the original book.
Then on Tuesday, she read 2/5 of what was left on Monday therefore she is left with 3/5 of ¾ of the original book. This is equal to:
(3/5) (3/4) = 9/20
She still needs to read 9/20 of the book or 0.45 or 45% of the book.
HELP MEEEEEE
The following graph shows a bus's record of the number of passengers it picked up over the course of a day.
Bus Passengers by Hour
75
75
70
65
62
58
55
Passengers
50
45
43
40
41
36
37
31
28
Time
How many people rode the bus over the course of the day?
7:00 am
8:00 a.m.
9:00 am
10:00 am
11:00 a.m.
12:00 pm
1:00p.m.
2:00 p.m.
3:00 p.m.
4:00 p.m.
5:00 p.m.
6:00 p.m.
Answer:
40+62+58+43+36+55+41+28+31+37+75+64= 570 people
Step-by-step explanation:
If you add all the no.of people who rode the bus, you will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day and as you said, the graph given above is number of passengers who rode bus throughout the day. Also, do not look at the time given, it is useless according to the question.
I hope it helps.
There are 570 people rode the bus over the course of the day.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
From the values on the graph which is presented in the table above, the number of people who rode the bus during the 12.00 hour is 55.
If we add all the no.of people who rode the bus, tjen we will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day
Since the graph given above is number of passengers who rode bus throughout the day.
Therefore, we have;
40+62+58+43+36+55+41+28+31+37+75+64= 570 people
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len won a gift card for 100 cups of tea
Answer:
what is the question?
Step-by-step explanation:
Answer: nice going Len
Step-by-step explanation:
What's he gonna do with all the tea
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, I will give brainliest to whoever answers correctly, thank you.
Answer:
y = -9/8x + 7Step-by-step explanation:
Slope-intercept form is:
y = mx + bPoints given:
(0, 7) and (8, -2)y-intercept is
b = 7 as per the first pointAnd the slope is:
m = (-2 - 7)/(8 - 0) = -9/8So the line is:
y = -9/8x + 7Answer:
Required Answer:-points are
(0,7)(8,-2)slope =m
[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]
y intercept:-
7
Hence the equation is
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]
Solve for t in the equation
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5
rohit has two pieces of ribbon pices one 20cm long and other 65 cm long .he wants to cut them into smaller pices of equal length for craft project in such a way thaty no ribbon is left.
Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?
Answer:
The E came before H
Step-by-step explanation:
If the amount of vat paid by a customer while buyong a bag at 13℅ vat rate rs 143 ,find the cost of bag without vat
Step-by-step explanation:
vat %=13%
vat=143
vat = vat% of sp (i.e sp without vat)
143 = 13/ 100 of sp
143*100=13sp
14300/13 = sp
sp=4766.67
therefore the cost of bag without vat is rs.4766.67
You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost
Answer:
0.45 cents
Step-by-step explanation:
We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.
2.70 ÷ 6 = 0.45
Therefore each pencil costs $0.45
I hope this helps, have a great day! :)
Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️
Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=
Uh yes I’m sorry I am just trying to get answers
870.497 ÷ 0.823=?
round your answer to the nearest whole number
Answer:
870.497 ÷ 0.823=1.057 so to the nearest whole number it would be 1
Step-by-step explanation:
cause 0-4 numbers are rounded down
Jennifer is buying a new dress for the school dance. The dress is marked 34.50$ and there is a sales tax of 6 1/2% what is the tax that jennifer must pay
2x 1/2 x3 2/3 im goin to be need a lot of helpppp
Answer:
3.66666666667
or
3.67(rounded to the nearest tenth)
Step-by-step explanation:
2x 1/2 x3 2/3 = 3.66666666667
Ace Carlos
Developer
Answer:
=3 2/3
Step-by-step explanation:
2 x 1/2 x 3 2/3
2 x 1/2 = 2/2 = 1
1 x 3 2/3
=3 2/3