Consider the following system of equations
-2x+5y=19
Y=-5/6x-1/6
Use this graph of the system to approximate its solution
A. (13/4,-5/2)
B. (-5/2,13/4)
C. (-13/4,5/2)
D.) (5/2,-13/4)
Answers
Answer:
C
Step-by-step explanation:
We have the system of equations:
[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]
And we want to use the graph to approximate the solution to the system.
Remember that, graphically, the solution to a system of equations is where the two graphs intersect.
We can see that the point at which the two lines intersect is in QII.
Hence, x is negative and y is positive.
The only choices that satisfies these conditions are B or C.
However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.
Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.
So, our final answer is C.
Related Questions
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)
Answers
Answer:
318.6
Step-by-step explanation:
(3x-9) + (x+15) = 180
3x (x+15) -9 (x+15)
4x + 45x - 9x + 6 = 180
40x + 6 = 180
40x = 180 - 6
40x = 174
x = 4.34
(3x-9) = 4.34 * 3x-9 = 4.02
(x+15) = 4.34 + 15 = 19.34
180 - (4.02 + 19.34)
= 180 - 23.36
= 156.64
hope this answer helps!!
Maria tenia 6.500kg de patatas. Las envaso en sacos de 25kg y los puso a la venta a 30$ cada uno. Vendio la mitad de los sacos a ese precio y el resto los vendio todos a 2$ menos cada saco. ¿ Cuanto dinero obtuvo?
Answers
Responder:
$ 7540
Explicación paso a paso:
Dado que:
Kilogramos totales de papa = 6500
Número de kilogramos por paquete = 25
Precio por paquete = $ 30
La mitad se vendió a $ 30
El resto se vende a ($ 30 - $ 2)
Número total de paquetes de 25 kg:
6500 kg / 25 kg = 260 paquetes
Por lo tanto, paquete total = 260 paquetes
La mitad se vende a $ 30:
(260/2) * 30
130 * $ 30 = $ 3900
Resto vendido a $ 28:
(260 - 130) * $ 28
130 * $ 28 = $ 3640
Cantidad total realizada:
$ (3640 + 3900) = $ 7540
SOLVE THISSS (3x+6)/3=-1
Answers
Answer:
x = −3 TRUSSSSSSTTTT MEE
Step-by-step explanation:
area of a square field is 1600 square metre. find the cost of boundary wall if the rate of per metre is Rs. 500
Answers
Answer:
Rs. 20,000
Step-by-step explanation:
the boundary wall will act as a perimeter.
the perimeter of a square field is 4S( S = side)
S x S = area
S2 = area
S =
square root of S2= square root of area
square root of S2 = S
S = square root of area
S = square root of 1600
S = 40m
perimeter = 4 x S
= 4 x 40
= 160m
1m = rs. 500
40m = 40m x rs.500
1m
=Rs. 20,000
The total cost C for p pounds of ham if each pound cost $3.55
Write a function rule using C and p as variables.
Answers
Answer:
If each pound costs $5.46, then
p
pounds can be multiplied to 5.46 to find the costs of different amounts of lithium.
Total cost: C
5.46
p
=
C
Step-by-step explanation:
what is 100,000,000,000,000,000, divided by 100
Answers
Answer:
1e+14
Step-by-step explanation:
write and solve an equation to find the number.
The perimeter of a patio is 64 feet. The length (L) is 10 feet longer than the width (W). What is the width of the patio?
Answers
9514 1404 393
Answer:
11 feet
Step-by-step explanation:
Let L and W represent the length and width of the patio. Then ...
L = W + 10
P = 2(L + W)
Substituting for the known values, we have ...
64 = 2((W +10) +W)
64 = 4W +20 . . . . simplify
44 = 4W . . . . . . . . subtract 20
11 = W . . . . . . . . . . divide by 4
The width of the patio is 11 feet.
A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
Answers
Answer:
5t = 4b
Step-by-step explanation:
Here, we want to write a proportional relationship for b in terms of t
From the question, b represent the amount of candle burned away in a given time t hours
From what we have initially, 13 3/4 burnt in 11 hours
So in 1 hour, the amount burnt will be;
55/4/11 = 5/4
5/4 inches of candle burnt in 1 hour
5/4 inches = b/t
So b inches burnt in t hours
5/4 = b/t
5t = 4b
If Frances can paint 1/5 of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?
A. 60 minutes
B. 100 minutes
C. 400 minutes
D. 500 minutes
Answers
Answer:
C. 400 minutes
Step-by-step explanation:
20 *5 = 100
she needs 100 minutes to paint 1 wall
so for 4
100*4 =400 minutes
0.075,0.75%, 3/4.. Which of the following correctly orders the values above from least to greatest
Answers
Answer:
0.075,3/4,0.75
Step-by-step explanation:
Answer:
0.75%, 0.075%, 3/4
Step-by-step explanation:
Took the test and this is the correct answer
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.
Answers
Answer:
60 cups
Step-by-step explanation:
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.
From the above question:
1 gallon of juice = 16 cups
Then:
4 gallons of juice = c
Cross Multiply
1 × c = 4 × 16 cups
c = 64 cups of juice
Hence, 4 gallons of juice = 64 cups of juice
We are told that :
After the party, 4 cups of juice were left over.
The cups of juice people drank at the party is calculated as:
Total cups of juice - Number of cups of juice left over.
64 cups of juice - 4 cups of juice
= 60 cups of juice
Help? I would appreciate it
Answers
Answer:
$6.50 per candle
Step-by-step explanation:
19.50 / 3 = 6.50
Answer:
$6.50
Step-by-step explanation:
$19.50 divided 3 is 6.50
round 17 21/30 to the nearest whole number
Answers
Answer:
i think 18
Step-by-step explanation:
dont come at me if im wrong
the length of a rectangle exceeds its breadth by 4 cm. if the area of the rectangle is 96cm squared . find the length and breadth
Answers
Answer:
length=12; breadth=8
Step-by-step explanation:
l=w+4
w(w+4)=96
w²+4w-96=0
(w+12)(w-8)=0
width=8
length=w+4=12
Answer:
length=12; breadth=8
Step-by-step explanation:
Hope this helped have an amazing day!
I can’t solve or bring myself to understand it :/ I’m having difficulties
Answers
Answer:
x = 50
Step-by-step explanation:
Since the output is 0, x^2 is 2500 but written differently.
Just take the square root of 2500, which is 50.
50^2 = 2500
2500 - 2500 = 0
James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 inches. His work is shown below. V = B h Step 1: 324 pi = pi 12 squared h Step 2: 324 pi = 24 pi h Step 3: StartFraction 324 pi over 24 pi EndFraction = StartFraction 24 pi over 24 pi EndFraction h Step 4: h = 13.5 pi inches What is the first error that James made when calculating the height of the cylinder? In step 1, he substituted into the volume formula incorrectly. In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24. In step 4, the Pi should have canceled, making the correct answer 13.5 cm. James calculated the height of the cylinder correctly.
Answers
Answer:
I believe the answer is B let me know if it's wrong
Answer:
(B) In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24.
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2 √7
4 √10
160
Answers
Answer:4 10
Step-by-step explanation:
Answer:4 √10
Step-by-step explanation:
edgy
Answer pls question in the picture
Answers
I’m sorry I won’t be doing the solving for you because it should be easy but I will give you the logic in case you don’t know how to solve them...
Please look at the picture below
According to the theorem we know that DE is:
DE = 1/2 ( BC)
Solve for X then find the values.
Note: remember that if you want to make your life easy multiply both side by 2 to get rid of the 1/2.
a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour
Answers
Answer:
5 inches per hour
Step-by-step explanation:
Answer:
1.5 inches per hour
Step-by-step explanation:
Maria paid $240 for a table set after a discount of 40%. What was the original price?
Answers
Answer:
The original price was 400 dollars.
Step-by-step explanation:
400 times 0.4 equals 160. 400 minus 160 equals 240. Therefore the answer is 400 dollars.
I bet no one can solve this
(+)^=∑24_(=0)^▒〖(¦) ^ ^(−) 〗
HAHAHAAAAAAAAAAAAA
Answers
Answer:
free points nice
Step-by-step explanation:
What's this? Cute. Thnx for the freee pointttssss <3
Larry answered 8 out of every 10 questions on a test correctly. The test had 70 questions. How many correct answers did Larry give?----- What is the first complete ratio? (numbers)
Answers
Answer:
56
Step-by-step explanation:
70 / 10 = 7 > 8 * 7= 56 hha hope this helps
An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has
a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length
of the triangle? What is the side length of the hexagon? Show your work.
Answers
Answer:
24 i can be rong
Step-by-step explanation:
HELP ASAP!!
the questions are in the picture
Answers
Answer:
1. Y≤2x-4
2. Yes, since its a solid line it includes points on the line
Step-by-step explanation:
Answer: y [tex]\leq[/tex] 2x - 4
Formula is y = mx + b
m is the slope and b is the y-intercept.
Yes its a solution because the line passes through the point (2,0).
Mark me brainllest :D
There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?
Answers
Answer:
There are 33 cows and 26 chickens
Step-by-step explanation:
Problem Solving
This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.
Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.
Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.
We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.
Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.
62 more legs are 66/2 = 33 changes or 33 cows.
The number of chickens is 59 - 33 = 26
Answer: There are 33 cows and 26 chickens
HELP ME SOLVE THIS... BRAINLIEST AND 25 POINTS WILL BE GIVEN
Answers
HELP ILL GIVE BRAINLIEST AND LOTS OF POINTS
Use the formula d = rt to find the distance, rate, or time
24. r = 5, t = 12
25. d = 24, t = 8
Answers
Answer:
24) 60, 25) 3
Step-by-step explanation:
d=r*t
5*12=60
24) 60
d=r*t
to find rate:
d/t=r
24/8=3
25) 3
Median of 40,2,31,15,29,16 and X is 21. then X= ?
Answers
Answer:
Let us arrange this data in ascending order.
2, 15, 16, 29, 31, 40.
x has to be in the middle if it is the median.
So it becomes 2, 15, 16, x, 29, 31, 40.
There are seven numbers. The median is the 4th one.
The median is given as 21.
So x = 21.
HOPE IT HELPS YOU, PLS MARK IT AS THE BRAINLIEST :D
Select the correct answer from each drop-down menu.
Aerial's grandmother gave her $5,500.00 to save for her college education. She went to the bank to open a savings account. The bank told her they had two options available.
Account A will pay 5.5% simple interest until the account is closed.
Account B will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open. When the initial account is closed, the bonus account will be closed as well and the money from the two accounts will be combined.
If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account
is the better choice earning her
more.
Answers
If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account B is the better choice earning her $41.25 more.
An 12-ounce bottle of orange juice costs $2.64. What is the cost of the orange juice per ounce?
Answers
Answer:
22 cents per ounce
Step-by-step explanation: