Answer:
A system of equivalent equations is:
x + y = -3
2x - 8y = 2
Step-by-step explanation:
Given
2x + 2y = -6
x - 4y = 2
Required
Write a system of equivalent equations
A system of equivalent equations implies that:
When the new set of equation is solved, the solution is equivalent to the original equation.
To do this, we have to carry out the same operation on both sides of the given equation.
Take for instance
2x + 2y = -6
Multiply both sides by ½
½(2x + 2y) = -6 * ½
x + y = -3
x + y = -3 is equivalent to 2x + 2y = -6
Multiply both sides of x - 4y = 2 by 2
2(x - 4y) = 2 * 2
2x - 8y = 4
2x - 8y = 4 is equivalent to x - 4y = 2
Hence, a system of equivalent equations is:
x + y = -3
2x - 8y = 2
Note that there are more equivalent equations.
The results you get depend on the operation performed on the given equation.
3. Angle RST is a right angle as shown in the figure. What is the measure of angle
UST?*
25
75 degrees
90 degrees
55 degrees
65 degrees
Answer:
Ccf
Step-by-step explanation:
2)
write place value of 3 in 32,840
Answer:
The 3 is in the ten thousands place.
3 is 30 thousand
2 is 2 thousand
8 is 8 hundred
4 is 4 tens
0 is 0 ones
Answer:
The 3 is in the hundred-thousands
Step-by-step explanation:
What is the distance between-40 and 83 on a number line
Answer:123
Step-by-step explanation:
I need help on this again :(
Answer:
"Some whole numbers are irrational numbers" False
"Some rational numbers are not whole numbers" True
"Some irrational numbers are not integers" True
"All rational numbers are integers" False
Step-by-step explanation:
Answer:
Step-by-step explanation:
1). False
2). True
3). False (all irrational numbers are not integers)
4). False
In this polygon Find x
Answer:
x=125
Step-by-step explanation:
A 7 sided figure (heptagon) has interior angles equaling 900°. (7-2)x180
900-60-90=750
6x=750
x=750÷6
x=125
What is 7/5 into a mixed number?
Answer:
improper fraction: 7/5
mixed number: 1 2/5
Answer:
1 and 2/5 or 1 2/5
Step-by-step explanation:
7/5 is a mixed number
7 - 5 = 2
The mixed number for the fraction 7/5 is 1 and 2/5
I Hope That This Helps! :)
A company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shows the total cost to rent a bicycle for different amounts of time.
What is the initial fee, in dollars, that the company charges to rent a bicycle?
Answer:
4, 3.3, and 3.2 the answer would be $10.05
Step-by-step explanation:
The initial fee that the company charges is equivalent to $2.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that a company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shown in the question gives the total cost to rent a bicycle for different amounts of time.
Assume that the initial fee is equivalent to $x. Then we can write the charge function as -
C(x) = mx + c
Now -
C(x) = {(20 - 8)/(6 - 2)}x + c
C(x) = (12/4)x + c
C(x) = 3x + c
For (2, 8) , we can write -
8 = 3 x 2 + c
c = 8 - 6
c = 2
Therefore, the initial fee that the company charges is equivalent to $2.
To solve more questions on functions, expressions and polynomials, visit the link below -
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) If the standard deviation of a random variable X is 15 and a random sample of size n=15 is obtained, what is the standard deviation of the sampling distribution of the sample mean?
Answer:
3.8731
Step-by-step explanation:
The standard deviation of the sampling distribution of the sample mean is also called the standard error of the mean expressed as;
SM = s/√n
s is the standard deviation of the random variable X
n is the sample size
Given
s = 15
n = 15
Required
Standard deviation of the sampling distribution of the sample mean.
Substituting the given parameters into the expression above;
SM = 15/√15
SM = 15/3.8729
SM = 3.8731
Hence the standard deviation of the sampling distribution of the sample mean is 3.8731
You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours. The data below are from a random sample of 11 students. 2.5 100 .5 1 1.5 3 3.5 4 3 4 2.5 What did you notice from your preliminary analysis of the data
Answer:
The data is not appropriately normal.
Step-by-step explanation:
In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.
The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.
tform. Use pencil
cult? The easiest?
Q
10-
B-
6-
11
2-
N-
-6
4
00-
6
10
4/ 2
-108
-2-
-4-
6
Answer:
I don't understand it
HELP PLEASE THIS IS DUE MONDAY! :(( GIVING 25 POINTS !!!
Answer:
For 7m^2: 8.4
For .5m^2: .6
For 12 liters of paint: 10m^2
and for 6.6: 5.5m^2
Answer:
a) 8.4
b) 0.6
Step-by-step explanation:
a) 1.2L=1m^2
8.4L = 7m^2
7 times 1.2 is 8.4
b) 1.2L=1m^2
0.6L=0.5m^2
1.2 times 0.5 or 1.2 divided by 2 is 0.6
Kacy is on her freshman basketball team. She makes 48% of her foul shots, leading her team to 14 wins in 17 games for the season.
If Kacy took 78 foul shots during the season, how many shots did she make?
Answer:
37 shots
Step-by-step explanation:
48% = 48/100
Set the ratios equal to each other so that we can find "x" the number of shots she made.
48/100 = x/78
78*48 = 3744
3744/100 = 37.44
She made 37 shots
Find the vertex.
f(x) = 10x2 – 17
Answer:
(0,-17)
Step-by-step explanation:
Kevin wants to buy his mom a $35 necklace. If the necklace is 40% off, how much will Kevin have to pay?
Answer:
21 dollars
Step-by-step explanation:
like my answer pls :)
Kevin will have to pay the amount of $21 for the necklace when the necklace is 40% off.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Kevin wishes to purchase a $35 necklace for his mother. If the necklace is on sale for 40% off,
If the necklace is 40% off, Kevin will have to pay 60% of the original price, since 100 - 40 = 60.
To find out how much Kevin will have to pay, you can multiply the original price of the necklace by 60% and then divide the result by 100 to convert it to a dollar amount.
For example, if you multiply $35 by 60% and then divide by 100, you get:
($35 × 60%) / 100 = $21
Therefore, he will have to pay $21 for the necklace.
Learn more about the percentages here:
brainly.com/question/24159063
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In rectangle PQRS, PR = 18 x - 24 and QS = x + 146, find the value of x and the length of
each diagonal.
Q
S
R
a. x = 11, PR = 156, QS = 156
b. x = 10, PR = 78, QS = 78
c. x = 5, PR = 151, QS = 151
d. x = 11, PR = 174, QS = 174
e. x = 10,PR = 156 QS = 156.
Answer:
The answer is the first one, A
Step-by-step explanation:
Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottle sold. Which set of numbers would be an appropriate domain for dionne’s function?
Answer:
…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
Step-by-step explanation:
0, 1, 2, 3, 4, …
…, −4, −3, −2, −1, 0
…, −3, −2, −1, 0, 1, 2, 3, …
…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
i need to fill in this table to show a proportional relationship.
Answer:
x 2 4 10 12 20 33
y 6 12 30 36 60 99
Jen borrows $4,000 from her bank. She has a simple interest loan at a 5% interest rate and will pay it back over 4 years. How much interest will she pay on this loan?
Answer:
depends on how much she pays per month, anywhere from $16.67-$583,179.69
Use the drop-down menu to complete the statement. What is 3 divided by 2/5?
Answer:
0.3
Step-by-step explanation:
Tell me if it's wrong I have another answer
Answer:
2/5 is the correct answer.
Step-by-step explanation:
Sandpoint shopping install 80 apples on a cart he bought 20 of them what percent did he by what percent did not buy
HELP
Answer:
he bought 25% and he didn't buy 75%
Step-by-step explanation:
5x + 3= 7x - 1. Find x
Answer:
x=2Step-by-step explanation:
5x -7x = -1 -3
-2x = -4
x=2hope it helps:)
361.2 ÷ ________ = 036.12 (3 points)
a
1,000
b
100
c
10
d
1
Answer:
C. 10
Step-by-step explanation:
You can take the blank as x
so 361.2 / x = 36.12
multiply by x
361.2 = 36.12x
divide
x = 10
Answer:
C. 10
Step-by-step explanation:
When dividing a number by 10, you are moving the decimal place to the left by one placing.
361.2/10 = 36.12
Simply move the decimal from between 1 and 2 to between 6 and 1.
1. In order for cos 47 to equal sin A, what must the measure of angle A be?
Explanation:
The rule used here is
if sin(A) = cos(B), then A+B = 90.
In this case, B = 47, meaning that,
A+B = 90
A+47 = 90
A = 90-47
A = 43
Therefore,
sin(43) = cos(47)
At the Blackman High school, 86 seniors submitted college applications for early decision. This represented approximately 34% of the senior class. The Truman High School, across town from the Blackman High School, has 266 seniors. Which high school has the larger senior class?
Answer:
The Truman high school has more
Step-by-step explanation:
Black man high school only has 247
solve this and ill give all my 68 ponits to u
Answer:
Q1
slope= 100 (because 200/100=100)
y inter = 400 (400 is the initial starting point)
Y= 100x + 400
Q2
Slope= 15 (increase in 15 every time)
y inter= 0 (15-15=0)
y=15x
Step-by-step explanation:
Answer:
Q1
Step-by-step explanation:
What is the area of the obtuse triangle given below?
7
11
A. 24 sq. units
B. 36 sq. units
C. 108 sq. units
D. 54 sq. units
Step-by-step explanation:
I/2×7×11 can't be bothered using a calculator
Answer:
54 sq units
Step-by-step explanation:
What is the length of side c?
what is 6n - 15
Plz answer quickly. I need help
Answer:
n=-2.5
Step-by-step explanation:
I hope this is correct and have a great day
If it costs $104.00 for 13 hamburgers, what is the cost of 1 hamburger?
Answer: $8 for 1 hamburger
Step-by-step explanation:
First to get correct gets brainliest!!
Mary-Ann has $28, which is 2 1/3 as much money as Lola has. How much money does Lola have?
Answer:
$12
Step-by-step explanation:
Lola has x.
Mary-Ann has 2 1/3 times Lola's amount, so Mary-Ann has (2 1/3)x.
Mary-Ann has $28.
(2 1/3)x = 28
7/3 x = 28
Multiply both sides by 3/7.
x = 28 * 3/7
x = 12
Lola has $12.