One way of solving systems of linear equations is by adding a multiple of one equation to the other. The multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. What should you multiply the equation y=0 y=0 by so that when added to x+y=40 x+y=40 the variable y yy will cancel out?
Answer:
Multiply y = 0 by -1
Step-by-step explanation:
Given
y = 0 (1)
x + y = 40 (2)
What should you multiply the equation y=0 by so that when added to x + y = 40, the variable y will cancel out ?
Multiply (1) by -1
y = 0 × -1
-y = 0 (1b)
Add (1b) and (2)
-y = 0
x + y = 40
(0 + x) + (-y + y) = 0 + 40
x + (0) = 40
x = 40
You should multiply the equation y = 0 by -1 so that when added to x + y = 40 the variable y will cancel out
-74.25
That the right answer
Answer:
Okay...
Step-by-step explanation:
Help me with this math problem because I’m too lazy to do it thank you if you do answer
Answer:
D. 30x + 120 ≤ 250
Step-by-step explanation:
Since we know that he bought one pair of shoes for $120 you would subtract 250-120=130 though you cant divide 130 into 30 so you would use ≤ so your answer is 30x + 120 ≤ 250
x= how many shirts he buys.
answer 2 questions about equations A and B A. 5x=20 B. x=4 1.) how can we get equation B from equation A
Answer:
Multiply/divide both sides by the same non-zero constant
Step-by-step explanation:
5x = 20
Divide each side by 5
5x/5 = 20/5
x = 4
what is 35% as a fraction
Answer:
7/20
Step-by-step explanation:
Which shows all the factors pairs of 16?
I don't understand what you are talking about, but I can list you the factor pairs of 16!
16=1,16; 2,8; 4,4
Thise are all the factor pairs
Answer:
1 x 16,
2 x 8
4 x 4
Factors of 16: 1, 2, 4, 8, 16
Video games made up 77.8% of the total revenue for a small specialty store.
A) 0.0778 B) 7.78 C) 77.8
D) 0.778
Timod at home while attending classes
Answer:
D
Step-by-step explanation:
This is saying 77.8% percent out of 100, therefore we right it like D
I hope this helped, please mark Brainliest, thank you!
13-22 super easy help please wee thank you!
the answer to the equation is -9
Which expression is equivalent to 100+20? 5(20+3)5(20+3) 4(25+6)4(25+6) 10(10+2)10(10+2) 5(20+20)5(20+20)
Answer:
Step-by-step explanation:
10 (10+2)
What is the distance between the points -30, -10 and -30, 19 in the xy plane?
A: 9 units
B: 20 units
C: 29 units
D: 49 units
Answer:
29 units..
Step-by-step explanation:
well i don't know how to insert an image of the answer...but I did it...its (c): 29 units
Hay sorry I forgot the picture last time but can some one help
Answer:
Marina's design uses more cardboard.
in Kristen's design, it uses:
3*4/2*2+10*5+3*10+4*10=132 sq inches.
in Marina's design, it uses:
6*3*2+3*7*2+7*6*2=162 sq inches.
132<162
Therefore Marina's design uses more cardboard.
The difference between 2 designs are:
162-132
=30 sq inches
Seven subtracted from the product of three and a number is 23. What is the number?
Answer:
Step-by-step explanation:
If the number is 10 so
Product of 10 and 3 = 10 x 3 = 30
Subtracting by 7 = 30 - 7 = 23
So the number is 10
1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?
Answer:
We reject H₀, we find that the current level of mercury uptake in the Everglades has decrease
Step-by-step explanation:
We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)
Test Hypothesis:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ < μ₀
Sample size 25 then n < 30 we will use t-student table
Population mean : μ₀ = 15 ppm
sample mean : μ = 14,6 ppm
sample standard deviation: s = 1 ppm
Sample size n : 25
degrees of freedom df = n - 1 df = 24
We will develop the test for CI 90% then α = 10% α = 0,1 α/2 = 0,05
For that values in t student table we find:
t(c) = 1,711 by symmetry t(c) = - 1,711
To compute ts
t(s) = ( μ - μ₀ ) / s/√n
t(s) = 14,6 - 15 / 1 /√25
t(s) = - 0,4*5 / 1
t(s) = - 2
Comparing t(c)and t(s)
|t(s)| > |t(c) | and t(s) < t(c) -2 < -1,711
Therefore t(s) in in the rejection region, we reject H₀
To pay for a $23,600 motorcycle, Raphael made a down payment of $3300 and took out a loan for the rest .on the loan, he paid monthly payments of $364.77 for 5 years. what was the total amount Rafael ended up paying for the motorcycle including the down payment and monthly payments? how much interest did Raphael pay on the loan?
Answer:
-Total amount Rafael ended up paying for the motorcycle: $25,186.2
-Interest: $1,586.2
Step-by-step explanation:
You can find the total amount Rafael ended up paying by adding up the down payment plus the result of multiplying the monthly payment for the number of months he paid:
Total payment=3,300+(364,77*60)
Total payment=3,300+21,886.2
Total payment=25,186.2
Now, to calculate the amount of interest that Raphael paid on the loan, you should subtract the price of the motorcycle from the total amount Raphael paid:
Interest=$25,186.2-$23,600
Interest=$1,586.2
What is the value of x? Round to the nearest tenths place....
Answer:
x = 12.64911064
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 14^2
36 + b^2 = 196
There is a line that includes the point (-7, 9) and has a slope of -1/7.
What is its equation in slope intercept form?
Answer:
y=-(1)/(7)x+8
Step-by-step explanation:
Rewrite in simplest terms: -10(-3m-10)-3(-8m+3) i don't usually ask questions that often but I actually need help this time. so if you know answer please :D
Answer:
The simplest form is 6m+91.
Step-by-step explanation:
Consider the given information.
[tex]-10(-3m-10)-3(-8m+3)[/tex]
First, remove the parenthesis by multiplying -10 and -3 inside the parenthesis.
[tex]30m+100-24m-9[/tex]
Now, rearrange the like terms.
[tex]30m-24m+100-9[/tex]
Combine the like terms.
[tex]6m+91[/tex]
Hence, the simplest form is 6m+91.
translate the sentence into an equation
The sum of 6 times a number and 2 is equal to 3
Answer:
6x + 2 = 3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example I'm using x)
When you put it all together, it is 6x + 2 = 3
The required equation is 6x + 2 = 3.
It is required to find the equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers
Given:
The sum of 6 times a number and 2 equals 3.
According to given question we have,
Let the number be x.
6 times a number would be
6x
The sum of 6 times a number and 2 equals 3.
6x + 2 = 3.
Therefore, the required equation is 6x + 2 = 3.
Learn more about equation here:
brainly.com/question/18760193
#SPJ2
Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.7° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min
Answer:
What I think, Is that it... It might be, It can take 3 seconds
Which proportion can be used to show that the slope of JL is equal to the slope of MP? (sorry for the horrible quality)
Answer:
The proportion can be used to show that the slope of JL is equal to the slope of MP is [tex]\frac{0-4}{-4-(-7)}[/tex] = [tex]\frac{-4-8}{-1-(-10)}[/tex] ⇒ G
Step-by-step explanation:
The rule of the slope of a line is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are two points on the line
∵ The coordinates of the point J are (-7, 4)
∵ The coordinates of the point L are (-4, 0)
∴ x1 = -7 and y1 = 4
∴ x2 = -4 and y2 = 0
→ Substitute them in the rule above to find the slope of LJ
∴ [tex]m_{JL}=\frac{0-4}{-4-(-7)}[/tex]
∵ The coordinates of the point M are (-10, 8)
∵ The coordinates of the point P are (-1, -4)
∴ x1 = -10 and y1 = 8
∴ x2 = -1 and y2 = -4
→ Substitute them in the rule above to find the slope of MP
∴ [tex]m_{MP}=\frac{-4-8}{-1-(-10)}[/tex]
∵ The slope of JL = the slope of MP
∴ [tex]\frac{0-4}{-4-(-7)}[/tex] = [tex]\frac{-4-8}{-1-(-10)}[/tex]
The proportion can be used to show that the slope of JL is equal to the slope of MP is [tex]\frac{0-4}{-4-(-7)}[/tex] = [tex]\frac{-4-8}{-1-(-10)}[/tex]
2〖sen〗^2 x+3 senx+1=0
2cotxsecx+ 2secx+cotx+1=0
senx〖cos〗^2 x=senx
2〖cos〗^2 x+2senx-12=0
2〖csc〗^2 x+〖cot〗^2 x-3=0
2 sin²(x) + 3 sin(x) + 1 = 0
(2 sin(x) + 1) (sin(x) + 1) = 0
2 sin(x) + 1 = 0 OR sin(x) + 1 = 0
sin(x) = -1/2 OR sin(x) = -1
The first equation gives two solution sets,
x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ
x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ
(where n is any integer), while the second equation gives
x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ
2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0
2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0
(2 sec(x) + 1) (cot(x) + 1) = 0
2 sec(x) + 1 = 0 OR cot(x) + 1 = 0
sec(x) = -1/2 OR cot(x) = -1
cos(x) = -2 OR tan(x) = -1
The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives
x = tan⁻¹(-1) + nπ = -π/4 + nπ
sin(x) cos²(x) = sin(x)
sin(x) cos²(x) - sin(x) = 0
sin(x) (cos²(x) - 1) = 0
sin(x) (-sin²(x)) = 0
sin³(x) = 0
sin(x) = 0
x = sin⁻¹(0) + 2nπ = 2nπ
2 cos²(x) + 2 sin(x) - 12 = 0
2 (1 - sin²(x)) + 2 sin(x) - 12 = 0
-2 sin²(x) + 2 sin(x) - 10 = 0
sin²(x) - sin(x) + 5 = 0
Using the quadratic formula, we get
sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2
but the square root contains a negative number, which means there is no real solution.
2 csc²(x) + cot²(x) - 3 = 0
2 (cot²(x) + 1) + cot²(x) - 3 = 0
3 cot²(x) - 1 = 0
cot²(x) = 1/3
tan²(x) = 3
tan(x) = ± √3
x = tan⁻¹(√3) + nπ OR x = tan⁻¹(-√3) + nπ
x = π/3 + nπ OR x = -π/3 + nπ
Helppp need help (p.s: Zearn
(50×20) - (1×20)
Step-by-step explanation:
there is 50 twenties (20) so its 50 × 20 and 1 twenty is 20
multiply 0.87 x 0.4
I'm writing this for 20 characters
Answer:
0.348
Step-by-step explanation:
Answer:
.348
Step-by-step explanation:
Hope this helped
Which number is less than 85.2 ?
086
0 85.02
O 85.8
0 85.30
rove the following statement directly from the definition of rational number. The difference of any two rational numbers is a rational number. Proof: Suppose r and s are any two rational numbers. By definition of rational, r = a b and s = c d for some ---Select--- a, b, c, and d with ---Select--- . Write r − s in terms of a, b, c, and d as a quotient of two integers whose numerator and denominator are simplified as much as possible. The result is the following. r − s = Both the numerator and the denominator are integers because ---Select--- . In addition, bd ≠ 0 by the ---Select--- . Hence r − s is a ---Select--- of two integers with a nonzero denominator, and so by definition of rational, r − s is rational.
Answer:
Step-by-step explanation:
Question:
Prove the following statement directly from the definitions.
The difference of any two rational numbers is a rational number.
Answer, see attachment for proof.
At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?
Write an equation. Let x represent the cost of one of Spongebob's items.
Solve the equation. Show your work.
Check your solution. Show your work.
State the solution in complete sentences.
Answer:
Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]
Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]
Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]
Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]
Step-by-step explanation:
Let [tex]x[/tex] denotes cost of each item bought by Spongebob.
Number of items bought by Spongebob = 3
So,
Cost of items bought by Spongebob = [tex]3x[/tex]
Cost of each item bought by Patrick = [tex]x-1.50[/tex]
Number of items bought by Patrick = 5
Cost of items bought by Patrick = [tex]5(x-1.50)[/tex]
Both Spongebob and Patrick paid the same amount of money.
So,
[tex]3x=5(x-1.50)\\3x=5x-7.5\\5x-3x=7.5\\2x=7.5\\x=\frac{7.5}{2} \\x=3.75[/tex]
So,
Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]
Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]
Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]
Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]
PLS HELP!! What is the value of X
what is the slope of the line thru passes thru (1,1) and (9,6)
Answer: 0.6
Step-by-step explanation:
x1=1
x2= 9
y1=1
y2=6
SLOPE OF THE LINE
= y2-y1/x2-x1
= 6-1/9-1
=5/8
=0.6
Pleaseeeee helppppp meeeeee
What is the price per pound of the beans ? Explain how you know that your answer is reasonable.
Answer:
we need numbers please
Answer:
$1.76
Step-by-step explanation:
:)
how do you solve for x
-3x-6y=0
Answer:
x = 2y
Step-by-step explanation:
Simplifying
3x + -6y = 0
Solving
3x + -6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
3x + -6y + 6y = 0 + 6y
Combine like terms: -6y + 6y = 0
3x + 0 = 0 + 6y
3x = 0 + 6y
Remove the zero:
3x = 6y
Divide each side by '3'.
x = 2y
Simplifying
x = 2y
