Substitution method
-3x + 3y = 4
-x + y = 3
Answers
Related Questions
is 15/6 less than 2 13/18
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Answer:
no
Step-by-step explanation:
Does anyone know these answers?
Answers
Answer:
A
Step-by-step explanation:
We know the answer to the first question is 3 because GC, FB, HD are parallel to AE, so we can eliminate choices B and C, we know D is incorrect because the answer to the third question is 4
Answer:
A. 3, 3, 4Step-by-step explanation:
Parallel segments to AE are:
BF, CG, DH ⇒ 3Parallel segments to EF:
AB, CD, GH ⇒ 3Segments intersecting with EF under right angle:
AE, EG, BF, GH ⇒ 4Correct choice is A
The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?
Answers
Answer:
Step-by-step explanation:
c = children
a = adults
2200 people enter the zoo mean :
c + a = 2200
$4,550.00 is collected mean :
1.5 c + 4 a = 4550
Now you must solve system:
c + a = 2200
1.5 c + 4 a = 4550
c + a = 2200 Subtract c to both sides
c + a - c = 2200 - c
a = 2200 - c
1.5 c + 4 a = 4550
1.5 c + 4 ( 2200 - c ) = 4550
1.5 * c + 4 * 2200 - 4 c = 4550
1.5 * c + 8800 - 4 c = 4550
- 2.5 c + 8800 = 4550 Subtract 8800 to both sides
- 2.5 c + 8800 - 8800 = 4550 - 8800
- 2.5 c = - 4250 Divide both sides by - 2.5
c = - 4250 / - 2.5
c = 1700
a = 2200 - c = 2200 - 1700 = 500
1700 children and 500 adults
Proof :
c + a = 1700 = 2200
$ 1.5 * c + $ 4 * a =
$ 1.5 * 1700 + $ 4 * 500 =
$ 2550 + $ 2000 = $ 4550
The number of children and the number of adults are 1600 and 800, respectively.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.
A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.
Let x be the number of children and y be the number of adults. Then the equation is written as,
x + y = 2400 ...1
1.5x + 3y = 4800
x + 2y = 3200 ...2
Subtract equation 1 from equation 1, then
2y - y = 3200 - 2400
y = 800
Then the value of x is calculated as,
x + 800 = 2400
x = 2400 - 800
x = 1600
The number of children and the number of adults are 1600 and 800, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
vertex, maximum height, and axis of symmetry
Answers
Answer:
19 height
Step-by-step explanation:
sorry but thats all i know
hope it helps, have a nice day/night! :D
examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is
Answers
Answer:
The pattern is adding by consecutive odds.
Step-by-step explanation:
The first odd you start with is 3:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
25 + 11 = 36
...
Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.
~
Lindsey drew a scale of a city. the scale of the drawing is 1 inch = 3 yards. If the actual length of a neighborhood park is 114 yards, how long is the park in the drawing?
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Answer:
38 in
Step-by-step explanation:
114 yds divided by 3 = 38 in
40.75 in word form.
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Answer:
forty and seventy-five hundredths
Step-by-step explanation:
first number with always stay the same. after decimal each number you go up a thenths place. so in this case ten, hundreths
What is the algebraic expression for the following word phrase: "the product of x and the sum of 2 and y"?
Answers
Answer:
x(2+y)
Step-by-step explanation:
sum of 2 and y=2+y
product of x=x times expression
:. Answer =x(2+y)
there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary
Answers
Answer:
either 98 girls and 83 boys or 181 students in Ross elementary school
Step-by-step explanation:
98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.
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Choose all sets that contain the number 5.
Natural numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
Real numbers
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Whole numbers
Natural numbers
Real nunbers
Determine whether the ratios 8:7 and 15:14 are equivalent
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Answer:
They are not
Step-by-step explanation:
We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:
15:14
\/
7.5:7 ≠ 8:7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Solve for u.
–
7u–u+2u+11u=10
u=
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Bc explain
Find two numbers x and y with a sum of 200 and a difference of 82
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Answer:
Let x be the bigger number, and y be the smaller number.
[tex]x+y=200[/tex]
[tex]x=200-y[/tex]
Since the difference is 82,
[tex]x-y=82[/tex]
Substitute x in:
[tex](200-y)-y=82[/tex]
[tex]200-2y=82[/tex]
[tex]2y=200-82[/tex]
[tex]2y=118[/tex]
[tex]y=59[/tex]
[tex]x=200-59[/tex]
[tex]x=141[/tex]
Calculate the average of these values: 38, 48, 58, 68?
Answers
Answer:
53 is the average value.
Step-by-step explanation:
To find the average, or mean of multiple values you first add them all up:
38+48+58+68=212
Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).
Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.
I hope that my answer has helped you, have a great day, ask any questions you have below.
What is the value of x if a slope is 2, and a line passing through (x, 3) and (1,5).
Answers
Answer:
x = 0
Step-by-step explanation:
Slope = change in y/change in x
Slope = 5-3/1-x
2 = 2/1-x
2(1 - x) = 2
2 - 2x = 2
2 = 2 - 2x
0 = -2x
x = 0
-Chetan K
Violet is playing a board game with her friends. She earned 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve the equation for b.
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Answer:
78 + B = 91...
91 - 78 = B
91 - 78 = 13
B = 13
Step-by-step explanation:
What is the answer =2^3(10-7)/3*7?
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Hope it helps:)
Answer:
the ansewer is 56
Step-by-step explanation:
by appling bodmas rule which means if such type of operation apper in one question we work it step by step first bracket then division next multiplication then addition finaly substruction 2^3(10-7)/3*7(10-7)=32^3(3)/3*73/3=12^3*1*72^3=88*1*7=8*7=56I need word form and decimal
(I already shaded it in so that is all I need
Answers
The shading is correct for each of the three problems. Nice work.
==========================================
Problem 13
Word form = one tenth
Decimal form = 0.1
Explanation: The 1 is in the tenths place for the decimal value 0.1 to represent the fraction 1/10.
==========================================
Problem 14
Word form = eighty-five hundredths
Decimal form = 0.85
Explanation: The 8 is in the tenths place, and the 5 is in the hundredths place. Overall, 0.85 represents 85 out of 100, aka 85/100.
==========================================
Problem 15
Word form = thirty-nine thousandths
Decimal form = 0.039
Explanation: The second zero is in the tenths place. The 3 is in the hundredths place. The 9 is in the thousandths place. The decimal represents 39/1000 which you can think of it as 039/1000.
Eighty five hundredths, 0.85
Thirty nine thousandths, 0.039
Hope this helps!!!
Use the correct trig function to find the value of x. SOH,CAH, TOA
Answers
x = 18.4
Step-by-step explanation:
For this problem, we are going to use the cosine function to find x:
[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]
[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]
Company A received 2131 more patents than Company B. Together, they received patents many patents did each company receive?
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3/8 is found between which pair of fractions on a number line
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Answer:
2/8 and 4/8
Step-by-step explanation:
Answer:
2/8,4/8 or 1/4,1/2
Step-by-step explanation:
3+1=4 3-1=2
2/8=1/4
4/8=1/2
Mary was asleep from 9:pm to 5:am. How long was she asleep for?
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Answer:
8 hours
Step-by-step explanation:
Answer:
8hours
Step-by-step explanation:
what number is its own oppositie?
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Answer:
0Step-by-step explanation:
what number is its own oppositie?
The number 0 is the only number that is its own opposite.
Evan is landscaping his backyard. The yard is shaped like a rectangle and measures 80 feet by 70 feet. He wants to spread topsoil evenly over the entire surface. One load of topsoil will cover 400 square feet, 4 inches deep. How many loads of dirt does Evan need in order to cover his entire yard?
A. 14
B. 16
C. 18
D. 20
Answers
What is the scale factor for the dilation of triangle ABC
to produce triangle A'B'C'?
A. 0.25
B. 0.5
C. 2
D. 3
What is the scale factor for the dilation of triangle ABC
to produce triangle A"B"C?
A. 0.25
B. 0.5
C. 2
D. 3
Answers
Answer:
1) B 0.5
2) C 2
Step-by-step explanation:
point A (-2, 2) (0.5) = (-1, 1) A'
point B (-2, -1) (0.5) = (-1, -0.5) B'
point C (3, -1) (0.5) = (1.5, -0.5) B'
point A (-2, 2) (2) = (-4, 4) A'
point B (-2, -1) (2) = (-4, -2) B'
point C (3, -1) (2) = (6, -2) B'
Pls and thiss I beggg
Answers
Answer:
x=115°,y=50°
Step-by-step explanation:
let <B =x
115°+x=180°
x=180°-115°=65°
Since <B=<C
x+65°=180
x=180-65=115°
For y,
y+2(65°)=180°
y+130°=180°
y=180°-130°=50°
Find the equation of the line with slope 43 and y-intercept (0,−1)
Answers
Answer:
y = 43x -1
Step-by-step explanation:
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 43x -1
Gabby read 98 pages of a book then stopped. She later decided to continue the book and read 37 more pages every day.
Let d represent the number of days since Gabby decided to continue the book and p represent the total number of pages of the book she had read.
Answers
Answer:
number of days = 3
total number of pages=135
Step-by-step explanation:
98÷49= 2
37=1 day
total number of days=3days
Total number of pages read=135 pages
Find two numbers x and y with a sum of 2 and a difference of 12
Answers
Answer:
x = 7
y = -5
Step-by-step explanation:
x + y = 2
x - y = 12
( x + y ) + ( x - y ) = 2 + 12
2x = 14
x = 7
7 + y = 2
y = -5
Check:
7 + -5 = 2
7 - (-5) = 12
Correct
-Chetan K
Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...
Answers
Answer:
1724
Step-by-step explanation:
first find the nth term = -19n+5
then do -19×91+5= 1724