What is the value of x in the solution to the system of equations below?
15x - 12y = 13
30x + 9y = 4
Answer:
1/3
Step-by-step explanation:
Use the elimination method.
15x - 12y = 13
30x + 9y = 4
If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.
-2(15x - 12y = 13)
30x + 9y = 4
You should have these two equations now:
-30x + 24y = -26
30x + 9y = 4
Add them together now. You should get this now.
33y = -22
Divide both sides by 33. You should get y = -2/3
Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.
30x + 9 (-2/3) = 4
30x - 6 = 4
30x = 10
30 30 (divide 30 and 10 by 30)
x = 1/3
Write an equation in slope-intercept form for the graph shown.
Answer:
y = -3x + 2
Step-by-step explanation:
b is your y intercept, where the line crosses the y axis
m is your slope, since the line is going down we know it is negative
the slope was -6/2, which simplifies to -3
What is the best piece of advice you’ve ever received?
Answer: i dunno
Step-by-step explanation:
Which mapping diagram represents a relationship that is a function?
Mapping A
Mapping B
3
7
O Mapping A
O Mapping B
O both Mapping A and Mapping B
Answer:
Mapping A
Step-by-step explanation:
Find the product of 5/6 and 42
Answer: Its 35 hope this helped
Which expression is equal to (7 * 2) 2?
A)(7 + 2) × 2
B)(2x2)+7
C)7x(2 x 2)
D)(2 x 7) + (2x2)
Answer:
C. 7 * (2 * 2)
Step-by-step explanation:
Figure out the original expression to see the equivalent expression.
(7 * 2) * 2
14 * 2
28
We have to look for an expression that equals 28.
A is (7 + 2) * 2.
(7 + 2) * 2
9 * 2
18
A equals 18, so it's not equivalent to the original expression.
Now B, which is (2 * 2) + 7
(2 * 2) + 7
4 + 7
11
B equals 11, so it is also not equivalent.
Now C; that is 7 * (2 * 2)
7 * 4
28
C equals 28, so that is equivalent. Although we have found our answer, we need to make sure it's right by evaluating D. ((2 * 7) + (2 * 2))
(2 * 7) + (2 * 2)
14 + 4
18
D, like A, equals 18, so it is also incorrect.
C is the only expression that is equivalent to (7 * 2) * 2, so it is the answer.
 How do I know whether this is a function or not? And can someone EXPLAIN the steps on how to determine on how it would be a function please?
Answer:
Yes
Step-by-step explanation:
A function would be f(x), a output for each x input.
The slope intercept form is y - mx + b! *keep this in mind*
If you graph this as well, it would be easier to see if its a function too. If the line crosses through it once, it is indeed a function. If it doesn't, it isn't
Hope this helps
Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.
Answer: 16 yards would be your answer
The scale factor of ABCD to QRST is 1:2
The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.
Rectangle ABCD has a width of 8 yards and a length of 20 yards.
Rectangle QRST is similar to rectangle ABCD.
Rectangle QRST has a length of 40 yards.
Scale factor:Therefore, the scale factor of ABCD to QRST can be calculated as follows:
let
x = width of rectangle QRST
8 / x = 20 / 40
8 / x = 1 / 2
x = 16
The scale factor of ABCD to QRST is 1:2
Perimetersperimeter ABCD = 2(8 + 20) = 56 yards
perimeter QRST = 2(16 + 40) = 112 yards.
learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults
Can someone plz help me like please
Answer:
1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000
Determlne the circumference of a circle with a radius of 8 meters.
O 50.2 meters
O 100.5 meters
O 201.0 meters
O 25.1 meters
Answer:
The first one
Step-by-step explanation:
answer = 50.2
Answer:
50.2
Step-by-step explanation:
182632929236+188274739393974473
Answer:
the answer id
188274922026903709
Answer:
Exact Form: 188274922026903709
Decimal Form: 1.88274922*10^17
Step-by-step explanation:
I NEED HELP ON THIS PLEASE
Answer:
5 1/3
Step-by-step explanation:
i think
SOMEONE PLEASE ANSWER ALL 7 QUESTIONS DUE IN 10 MINUTES WILL MARK AND 5 STARS!!!
Please help! The first one to answer correctly I'll give 200 points and the brainliest
The population of a city increases by 4,000 people each year. In 2025 the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A.p=4x+50
B.p-450=4(x-5)
C.p-15=4(x-450)
D.p=4x+15
Answer:
fgfhdfg
Step-by-step explanation:
c
There are 372 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answer:show ur homework page I have the same one I think
Step-by-step explanation:
is y=x-6 linear????????
Answer:yeA
Step-by-step explanation:
Yea
Answer:
yes
Step-by-step explanation:
Y=Mx + b is linear and in this case we have Y= 0x - 6 or Y=0x + (-6).
Kristin conducted an experiment in her science class to see how water drained from a contamer The given graph shows the data
that Kristin collected as a function of the height of the water over time
Krisin's two most accurately plotted points for the rate of flow of the water occurred when the height of the water was
fifty-five centimeters after four seconds and when the height was twenty centimeters after fourteen seconds
Use these two data points to determine the equation for the line of best fit for Krisin's experiment
Answer:
y = -3.5x + 69.
Step-by-step explanation:
Find the x-intercept and the y-intercept of the graph of the equation 6x+2y=36
is a percent a constant of proportionality
Answer:
Yes.
Step-by-step explanation:
A percent can be represented as a fraction and a fraction is a constant of proportionality.
6·(10-x)
helppp plssss
Answer:
6(10-x)
60-6x
Step-by-step explanation:
prove me wrong
Which of these equations is in slope intercept form?
O 2x + 4y = 24
O y-6 = -1/2(x-0)
O y=-1/2x+6
Y1-Y2/X1-X2
Answer:
[tex]y = \frac{1}{2} x + 6[/tex]
Step-by-step explanation:
Remmeber that the slope-intercept form is:
[tex]y = mx + b[/tex]
Find the difference.
-3.4 -(-1.9)
Answer:
The answer is -1.5.
Step-by-step explanation:
-3.4 - (-1.9)
-3.4 + 1.9
-1.5
Can someone help me please
==========================================================
Explanation:
This is a 45-45-90 right triangle. Any triangle of this form is isosceles, where the two legs are the same length. In this case, m and n are those two legs. So m = n.
We can then apply the Pythagorean theorem to say
a^2 + b^2 = c^2
m^2 + n^2 = (9*sqrt(2))^2
m^2 + m^2 = 9^2*(sqrt(2))^2
2m^2 = 81*2
m^2 = (81*2)/2
m^2 = 81
m = sqrt(81)
m = 9
As a shortcut, the hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. If m is the length of the leg, then m*sqrt(2) is the length of the hypotenuse. So in a sense, we take this thought process backwards to go from a hypotenuse 9*sqrt(2) to a leg length of 9.
A rectangular book measures 3 x 5. What is the length of its
diagonal?
Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts
Answer:
12:9
Step-by-step explanation:
Answer:
Step-by-step explanation:
12:9
Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?
Answer:
the volume of the cone is
15in^3
Step-by-step explanation:
Step one:
parameters of the cone
radius r = 3 in
height h= 5 in
Step two:
the expression for the volume of the cone is
V= 1/3πr^2h
substitute
[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]
Please help me if you can
Answer:
1)-9x^5 + 7x^2 + 3 2) -2x2 • (x - 7) 3) -23v^2 + 7v + 4 4) is just 7x
Binda is working on an art project that requires 32 feet of ribbon. She has 17 1/2 feet of ribbon, but needs to purchase more ribbon to have enough to finish her art project. All of the ribbon will be cut into piece that are 1/4 foot long. Write and solve an equation that can be used to determine the number of feet of ribbon, x, that Binda needs to purchase to finish her art. How many 1/4 foot pieces of ribbon can Binda make from all 32 feet of ribbon?
Answer:
x + 17.5 = 32 (subtract 17.5 from 32 to get your answer)
14.5 feet of ribbon Binda needs to purchase
32 / 0.25 = 128 pieces of 1/4 foot ribbon
Answer:
x + 17.5 = 32 (subtract 17.5 from 32 to get your answer)
14.5 feet of ribbon Binda needs to purchase
32 / 0.25 = 128 pieces of 1/4 foot ribbon
Step-by-step explanation:
i have 3 green cubes,4 red cubes,2 black cubes,and 6 yellow cubes .what is the probability that i will randomly choose a red cube.
Answer:27%
Step-by-step explanation: 4/15
A video game displays 88 frames in 4 seconds on Penelope's computer. What is the rate in frames per second?
A.
21 frames per second
B.
20 frames per second
C.
22 frames per second
D.
23 frames per second
Answer:
it's answer is C 22 frames per second