The procedures will eliminate a variable in one of the equations in the system 5x - 2y = 3 3x - y = 4 is
A. Multiply the second equation by –2 then add the result to the first equation.
What are the types of solutions of a system f linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Given, A linear system,
5x - 2y = 3...(1) and 3x - y = 4...(2)
Now, To eliminate one of the variables 'x' or 'y' we can apply arithmetic operations to the linear operations.
Now, If we Multiply the second equation by - 2 and then add the result to the first equation we'll have,
- 6x + 2y = - 8
Now, Adding this to the eqn(1) variable 'y' gets cancelled and we have,
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Piper has a flower shop. She started the week with 320 flowers. Each day she sells half of the flowers in her shop.
Which graph shows the exponential decay described?
320
280
240
Flowers 200
Left
160
120
80
40
320
280
240
Flowers 200
Left
160
120
80
40
OA
Oc.
0 1 2 3 4 5 6
Days
0 1 2 3 4 5 6
Days
320
280
240
Flowers 200
Left
160
120
80
40
320
280
240
Flowers 200
Left
160
120
80
40
OB.
OD
0 1
2 3 4 5 6
Days
0 1 2 3 4 5 6
Days
Answer:
Step-by-step explanation:
the answer is C! i’m doing this right now as well
Write an equation in slope-intercept form that passes through (5, -8) and runs perpendicular to y = 5/2x + 4
y= (-2/5)x-6
Step-by-step explanation:
the slope of the line perpendicular the the given line is found by the formula m1.m2= -1 hence m2= -2/5
using the slope-intercept form
y+8= -2/5(x-5) y= (-2/5)x-6
Jessie filled a cone-shaped birthday hat with candy. if the hat had a radius of 9cm and a height of 10cm what is the volume in cubic units of candy she filled the hat with? assume that pi =3.14 and round to the nearest tenth
Answer:
Volume of a cone = 847.8 cm³
Step-by-step explanation:
Volume of a cone = 1/3hπr²
π = 3.14
radius, r = 9 cm
height, h = 10 cm
Volume of a cone = 1/3hπr²
= 1/3 * 10 * 3.14 * 9²
= (1 * 10 * 3.14 * 81) / 3
= 2543.4 / 3
= 847.8
Volume of a cone = 847.8 cm³
write an equivalent expression to 2x + 3 + 5x + 6
Answer:
2x+3+5x+6 = 7x+9
Step-by-step explanation:
2x + 3 + 5x + 6
= 2x + 5x + 3 + 6
= 7x + 9
Hope it helps
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start.
Answer:
Where the information
Step-by-step explanation:
At smiths five bags of chips cost nine dollars how much would it cost for a seven bags of chips
Answer:
$12.60
Step-by-step explanation:
k + 12 ≥20, if k = 15
HELP PLEASE!!
Answer:
Step-by-step explanation:
k= 15
k+12 ≥ 20
15+12 ≥20
27 ≥ 20 True
Each package has 21 pieces of chalk. How many packages can be made with 1,701 pieces of chalk?
Answer:
81
Step-by-step explanation:
divide 1701 by 21 to get the answer
Find the greatest common factor of 21 and 10.
Answer:
GCF of 10 and 21 is 1.2.
Step-by-step explanation:
I hope it's helpful!
Examine the linear graph to find the slope , y-intercept, and write the equation for this linear relationship
Answer:
The slope of the line is: [tex]m=-\frac{1}{2}[/tex]
The y-intercept b = 3
The slope-intercept equation of the line is: [tex]y\:=\:-\frac{1}{3}x+3[/tex]
Step-by-step explanation:
Taking two points from the given graph
(0, 3) and (6, 0)
Determining the slope m
The slope between (0, 3) and (6, 0) using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
(x₁, y₁) = (0, 3) (x₂, y₂) = (6, 0)now substitute (x₁, y₁) = (0, 3) and (x₂, y₂) = (6, 0) in the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{0-3}{6-0}[/tex]
[tex]m=-\frac{3}{6}[/tex]
[tex]m=-\frac{1}{2}[/tex]
Thus, the slope of the line is: [tex]m=-\frac{1}{2}[/tex]
Determining the y-intercept (b)
The slope-intercept form of the line equation is given by
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptFrom the graph, we can figure out the y-intercept by checking the value of y at x = 0.
If we closely check the graph, at x = 0, the value of y = 3
Therefore, the y-intercept b = 3
Slope-intercept Equation
We already know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
substituting b = 3 and m = -1/2
[tex]y\:=\:-\frac{1}{2}x+3[/tex]
Therefore, the slope-intercept equation of the line is: [tex]y\:=\:-\frac{1}{2}x+3[/tex]
The graph is also attached below.
The capacity of Dr Khan's oil tank is 1,200 litres.
There are currently 650 litres of oil in the tank.
Oil costs 77.2p per litre.
Dr Khan gets a 5% discount on the price of oil.
How much does it cost Dr Khan to fill the oil tank?
Answer:
it costs = 40337p
Step-by-step explanation:
a) 1200 - 650 = 550L
b) 77.2p - 77.2 x0.05 = 73.34p per litre
c) the total money it costs to be filled the the oil tank by Dr Khan is 73.34 x 550L = 40337
Can someone please help me with this problem please?
Answer:
6.86
Step-by-step explanation:
ask if you dont understand
what does this equal 12*5*6*100*67*82*200*419*638*35*134
Answer:
4.959395e+19
Step-by-step explanation:
12*5*6*100*67*82*200*419*638*35*134 = 4.959394955x10^19
you can always use a calculator for these large calculations
Mr. P mowed 2/7 of his lawn. His son mowed 1/4 of it who mowed the most how much of the lawn still need to be mowed. Solve using the RDW strategy
plzzz help meh I WILL MARK 50 points!!!!!!
Answer:
Step-by-step explanation:
1/3
If y = x + 3, what is y if x = 4?
Answer:
7
Step-by-step explanation:
y = x+3
y = 4+3
y = 7
brainlist plz
will give brainliest to first correct answer. find missing length
Answer: a
Step-by-step explanation:
Because i said so
mr. knox's rent during the past year amounted to $2700 per year. His rent was 20% of his income. find his income fo the last year.
Answer:
$13,500
Step-by-step explanation:
20% is 1/5, so to figure out his income we multiply 2700*5=13500
Answer:
$13,500
Step-by-step explanation:
Fraction: 20/100 = 2700/x
Find x
20x=270000
Divide 20 by both sides
X=13,500
Helppppppppp !!! Please!!!
Can someone Explain this whole thing
Answer:
Step-by-step explanation:
∵ the properties of rhombus, all sides are equal.
∴MA=MQ
MA=12
Can anyone help me with this question please
I’ll mark you as a brainliest.
Answer:
D
Step-by-step explanation:
The other options don't correspond to the figure above.
NEED HELP WITH MATH !
Answer:
1.50 liter/hr
Step-by-step explanation:
using;
[tex] \frac{6 - 3}{4 - 2} [/tex]
=3/2= 1.50 liter/hr
what is this(9 + 4) × (8 -7)
Answer:
13
Step-by-step explanation:
To solve this you have to add 9 and 4 first so you get 13. Next, you have to subtract 8 from 7 so you get 1. Now all you have to do is multiply 13 and 1 so you get 13 as your answer.
9 + 4 = 13
8 - 7 = 1
13 × 1 = 13
I hope this helps you :D
Answer:
Its 13
Step-by-step explanation:
Pretty much its 9 + 4 (13) x 1 which equals 13.
0.01 × 0.001
answer This
Answer:
0.00001
Step-by-step explanation:
1. What is the formula for Pythagorean Theorem
2. What does the A represent
3. What does the B represent
4. What does the C represent
5. Pythagorean Theorem can be used with what SPECIFIC shape?
6. If A= 4, and B = 5, what is length of the hypotenuse? Show all work
Answer:
The formula is a^2 + b^2 = c^2
Step-by-step explanation:
A and B are legs and C is the hypothunisis.
The theorem is used for triangles.
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
sqr(41) = sqr(c)^2
c = 6.403124237
PLEASE HELP!!!!
We need to know total number of miles and
we need to know the distance (in miles) between san diego to albuquerque, albuquerque to omaha, omaha to chicago (it’s labeled springfield on the map below but it’s chicago), then chicago (which is again labeled as springfield on the map below) to nashville
The scale is 1 cm to 204
THE INFORMATION, MAP, INSTRUCTIONS, SCALE, AND QUESTIONS ARE BELOW!
Answer:
total mile=(3.75+4.25+2.25+2)×204mile=12.25×204=2499mile
9514 1404 393
Answer:
765 mi867 mi459 mi408 mitotal: 2499 miStep-by-step explanation:
The estimated mileage is found by multiplying the map scale by the map distance:
#1: (204 mi/cm)(3.75 cm) = 765 mi
The last of your attachments correctly shows the mileage for each of the distances you have identified on the map.
(Please note that the map is actually showing Springfield, IL. The location of Chicago is at the south end of Lake Michigan, not in the middle of IL. Perhaps the grid incorrectly lists Chicago instead of Springfield.)
__
Of course, the total distance is the sum of the distances of the legs of the trip:
765 +867 +459 +408 = 2499 . . . . miles total distance
Which numerical expression represents 1/2 the sum of 7 and 5?
The Answer:
1/2(7 + 5)
Using the expression you found in part a, how many minutes will it take to make and pack an order for 15 parts? Show your work. help now plz
25pt
Answer:
2x + 10
= 2(15) + 10
= 30 + 10
= 40
It will take 40 minutes to make and pack an order for 15 parts.
Step-by-step explanation:
PLZ HELP WILL MARK BRANLIEST
What events in Hitler Youth have impacted individuals or ideas?
Answer:
Hitler Youth, founded in 1926, young children were taught how to use weapons and how to kill. This could have had a psychological effect on their developing minds. They were also taught the ideals and values of Hitler. They were taught that the ideal way to be was cis, straight, Christian, white, blonde, and blue eyes. Some children didn't possess these qualities negatively affecting the way they view themselves and those who did possess these traits dramatically looked down on others. The purpose of the Hitler Youth was to train children to be prepared to give their lives for their country.
Step-by-step explanation:
Alexander builds a triangular frame with side lengths of 3 ft and 5 ft and a 120∘ angle between them. Which can be the length of the unknown side of the frame?
Answer:
i got 7ft for the answer
Step-by-step explanation:
The length of the unknown side of the triangular frame is 7 ft.
What is a triangle?"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."
From the drawn triangle
According to the law of cosines
[tex]x^{2} =3^{2} +5^{2} +2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]cos 120^{0}[/tex]
⇒ [tex]x^{2} =9+25+2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]\frac{1}{2}[/tex]
⇒ [tex]x^{2} = 9+25+15[/tex]
⇒ [tex]x^{2} = 49[/tex]
⇒ [tex]x = \sqrt{49}[/tex]
⇒ [tex]x = 7[/tex]
Hence, the length of the unknown side of the triangular frame is 7 ft.
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6x^2+ x - 12?
What are the factors?