Answer:1. Use substitution to solve the system of equations:
-x + 2y=7
x - 3y = 3
2. Solve the system of equations by the elimination method
a. 2x+ y = -17
x - y = 2
b. 3x + y = -15
x + 2y = -10
Answer:
(0, 1)
Step-by-step explanation:
You can solve this by using the substitution or elimination method. For this problem, I'm going to use the substitution method. First, rewrite -4x-2y=-2 in slope-intercept form, which would be y=-2x+1. Substitute the y value in -9x+3y=3 (which would be -9x+3(-2x+1)=3) and solve.
-9x+3(-2x+1)=3
-9x-6x+3=3
-15x=0
x=0
Now, substitute the x value in for the x in any equation. You can do -4(0)-2y=-2 or -9(0)+3y=3. I'm going to use -9(0)+3y=3.
-9(0)+3y=3
3y=3
y=1
Bill charges 20 dollars to come to your house. He also charges 12 dollars for each hour that he works there. If the total price of Bill’s visit is $116 how many hours was he there?
Answer:
He was there for 8 hours.
Step-by-step explanation:
Answer please .Give an explanation so I know ur not just getting points so I dont report. Thank you!
9514 1404 393
Answer:
B. 1.5 = 2p
Step-by-step explanation:
If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...
2p = 1.5
or
1.5 = 2p . . . . . . matches choice B
_____
Additional comment
Some of us would "cut to the chase" and compute the fraction directly:
p = (price of hotdog)/(price of pizza) = 1.5/2
No such choice is offered, so the next best is the equation you get when you multiply this by 2:
2p = 1.5
Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20
Answer:
OC
Step-by-step explanation:
3(b-2)
3(10-2)
3(8)
24
Which inequality is true if p=3?
A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p
Answer:
D
Step-by-step explanation:
2×3 = 6 which is less than 8
What is the second step in solving the following equation?
-3x + 5 = 20
Subtract 5 from both sides
O Divide both sides by-3
o add 3x to both sides
O Divide both sides by 3
plz help me with this problem
Answer:
2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11
Step-by-step explanation:
To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11
Can you help me on question 12?!
Answer:
A) 8/27
Step-by-step explanation:
(2/3)³ = 8/27
FIND THE VALUE OF X PLEASE HELP ME
Answer:
x = 18
Step-by-step explanation:
4(18) = 72
2(18) - 10 = 26
4(18) + 10 = 82
72 + 26 + 82 = 180
10) Julio rented a bike from Bill's Bikes. It
cost $20 plus $6 per hour. If Julio paid
$50, then he rented the bike for how many
hours?
The distance between city a and city b is 200 miles. A length of 1.7 feet represents this distance on a certain wall map. City c and city d are 2.55 feet apart on this map. What is the actual distance between city c and city d
Answer:
510
Step-by-step explanation:
200×2.55=510 this is the answer
5/8÷1/3 do you now the answer
Answer:
15/8
Step-by-step explanation:
This is a fraction so when dividing fractions you can multiply by the reciprocal.
5/8*3/1= 5*3/8*1 = 15/8
A $24,000 car depreciates at a rate of 15% annually. What is that average rate of change from year 6 to year 10?
use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7
Answer:
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
Step-by-step explanation:
The computation of the next line in the sequence is shown below:
As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one
So,
1 = 1 × n
1 + (1+6) = 2 × n
1 + (1+6) + (1+6+6) = 3 × n
So, the next line would be
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
i.e.
1 + 7 + 13 + 19 = 4 × 10
As 1 + 7 + 13 + 19 = 40
And 40 = 4 × 10
Which is the equation of a line that has a slope of -7 and a Y intercept of 2
Answer:
y = -7x + 2
Step-by-step explanation:
Evaluate the following integral using trigonometric substitution
Integral underroot dx/ 9-x^2
Answer:
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
Step-by-step explanation:
We are given the following integral:
[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]
Trigonometric substitution:
We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.
In this case, the substitution is given by:
[tex]x = a\sin{\theta}[/tex]
So
[tex]dx = a\cos{\theta}d\theta[/tex]
In this question:
[tex]a = 3[/tex]
[tex]x = 3\sin{\theta}[/tex]
[tex]dx = 3\cos{\theta}d\theta[/tex]
So
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]
We have the following trigonometric identity:
[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]
So
[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]
Replacing into the integral:
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]
Coming back to x:
We have that:
[tex]x = 3\sin{\theta}[/tex]
So
[tex]\sin{\theta} = \frac{x}{3}[/tex]
Applying the arcsine(inverse sine) function to both sides, we get that:
[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
Which pair shows equivalent expressions?
A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10
Answer:
its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.
Identifying a binomial experiment In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment _________ binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
binomial random variable with mean E(X) = and Let X be the number of card selections with outcome "General." Then X is a standard deviation o =________
Answer:
1, this is a binomial experiment.
Step-by-step explanation:
this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.
we have that X follows the binomial distribution
X ~ Binomial(n = 3, p = 0.50)
we have 3 outcomes( general, applied, theoretical).
mean = E(X)
= np
= 3(0.5)
= 1.5
standard deviation = σ = √np(1-p)
= √3(0.5)(1-0.5)
= √1.5(0.50)
= √0.75
= 0.8660
the mean = 1.5
the standard deviation = 0.8660
The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?
A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these
sum is the answer to addition problem.
less than is subtraction and "times" is multiplication.
So we have
3x+2=5x-4
So the answer is C.
Also, i'm bored so imma solve it.
3x+2=5x-4
-2 -2
3x=5x-6
-5x -5x
-2x=-6
/-2 /-2
x=3
---
hope it helps
15 points!!!
Write an
equation of the parabola shown.
Answer:
y=1/2x-4
Step-by-step explanation:
find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,
Which equation represent the following situation : Andre withdrew
spending money from his checking account that initially had $982. What
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982
Answer:
Try 60
Step-by-step explanation:
982-922=60
PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left $1.10 as a tip. The tax was 4% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
all info is needed answer of the total bill is:275 us
Step-by-step explanation:
10x1.10=11= tax
100/z=4/11
275
*!!!* please help me!! i’ll mark brainliest if the answer is right!
Answer
Roundworm is 9ft long and the tapeworm is 60 feet long
Step-by-step explanation:
If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)
--Please help, ill give 30 points and brainiest if your correct!!--
Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2
Answer:
The amount in table as positive negative numbers: -5, 4, -1, 3, -2.
The spinner lands on red the change to Lisa's amount of money is -$5.
Step-by-step explanation:
Consider the provided table.
Part(A)
The table list how much a player receives or pays for various.
Paying some money is represented by a negative sign while receiving money is represented by a positive sign.
For red they needs to pay $5 which can be written as -5.
For blue they received $4 which can be written as 4.
For yellow they needs to pay $1 which can be written as -1.
For green they received $3 which can be written as 3.
For orange they needs to pay $2 which can be written as -2.
So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.
Part(B)
Now, we need to describe the change to Lisa’s amount of money when the spinner lands on red.
If spinner lands on red then she needs to pay $5.
Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.
Find three rational number between 2/3 and 3/4.
First pls
Answer:
21/30, 22/30, 23/30
Step-by-step explanation:
Help pls I don’t understand this my teacher didn’t teach this
Answer:
x = 60
Step-by-step explanation:
The tip of the triangle's angle is 100 (b/c 180-80)
x + 100 + 20 = 180
x + 120 = 180
x = 60
Answer:
Step-by-step explanation:
X=60
The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for
Given diameter (D) = 100
Radius = D/2 = 50
Circumference = πD
= 100π
= 314.15926535898
Note: Triangle may not be drawn to scale.
Suppose a = 10 and b = 2.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
Answer:
Step-by-step explanation:
more info
Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
What is Trigonometric function?In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Given,
a = 10, b = 2
Draw the figure using the given data
Apply Pythagorean theorem to find the third side or hypotenuse
[tex]c^{2}=a^{2} +b^{2}[/tex]
[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]
c = 10.19 units
We know sin θ = Opposite side / Hypotenuse
Sin A = [tex]\frac{10}{10.19}[/tex]
sin A = 0.98
cos θ = Adjacent side / Hypotenuse
cos A = [tex]\frac{2}{10.19}[/tex]
cos A =0.20
tan θ = Opposite side / Adjacent side
tan A = [tex]\frac{10}{2}[/tex]
tan A = 5
Hence, the Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
Learn more about Trigonometric functions and Pythagorean theorem here
https://brainly.com/question/14669175
#SPJ2
Represent the following Percent as a decimal, 87.5%
Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable
Answer is in the file below
tinyurl.com/wpazsebu
whats 3/2 divided by 8/3 in fraction form
Answer:
9/16
Step-by-step explanation:
3/2 / 8/3 =
3/2 x 3/8 = 9/16
Hope that helps!