Answer:
(-3,5)
Step-by-step explanation:
To solve using substitution, first isolate one variable in one of the given equations. Then, substitute the value you received from that equation for the matching variable in the second equation. Finally, substitute that value back into any of the equations to have both the x and y values.
1) The y in y = x + 8 is already isolated, so let's substitute that value for the y in x + y = 2. Substitute x + 8 for y in x + y = 2, then solve:
[tex]x + y = 2\\x + (x + 8) = 2 \\x + x + 8 = 2\\2x + 8 = 2 \\2x = -6\\x =-3\\[/tex]
Therefore, the x-value of the solution is -3.
2) Substitute the x value back into any of the one equations to find the value. Any choice is fine - in my work, I chose to substitute -3 for the x in y = x + 8:
[tex]y = x + 8 \\y = (-3) + 8\\y = -3 + 8\\y = 5[/tex]
Therefore, the y-value of the solution is 5.
3) Thus, the solution is (-3, 5).
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 45% solution of acid?
Answer Using the method of alligation. 40.0= 20/(10/20) qts of 50% solution to add to your 20 qts of 20% solution. 60.0= (20+40.0) qts of the final 40% solution.
2/3a-1/6=1/3 help please
Answer:
1/3a might be the correct answer...
The propability of Sachin's team winning any match is 0.45
Write down the propability of sachin's team not winning any match.
Answer:
0.55
Step-by-step explanation:
o.45 + X = 0.55
the probability of not winning is 0.55
You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?
Answer:
8
Step-by-step explanation:
Answer:
Candy bars: $13
Step-by-step explanation:
$3 magazine + $13 total of candy bars = $19
What is the price of a $13 ticket with a 8% sales tax?
Answer:
$14.04
Step-by-step explanation:
13 + 1.04 = $14.04
Answer:
Step-by-step explanation:
to find out the price
with the sales tax
13*8/100=1.04
13+1.04=14.04 is the final price
A circle has a diameter of 43cm, what is it's radius?
Answer:
21.5
Step-by-step explanation:
Hey there !!!!
to find the radius just divide by 2 because radius is the half of diameter:
43 / 2 = 21.5
( for correct divison add 21.5 + 21.5 = 43 )
hope it helped !!!
In the figure, XYZ=MNL
Find m
Answer:
m = 33°
Step-by-step explanation:
x = 33°
from picture ;
x = m = 33°
n = y = 124
I’ll give you brainlest if you answer this question correctly!
Answer:
(5,4)
Step-by-step explanation:
multiply each equation by the value that makes the coefficients of x opposite
(-1) · (4x + 6y) = (-1) · 44
4x + 2y = 28
simplify
-4x - 6y = -44
4x + 2y = 28
add the two equations together to eliminate x from the system
-4x - 6y = -44
+ 4x + 2y = 28
-4y = -16
divide each term by -4
y = 4
substitute the value for y into one of the original equations, then solve for x
-4x - 6y = -44
-4x - 6(4) = -44
-4x - 24 = -44
+ 24 + 24
-4x = -20
divide by -4
x = 5
so, since x = 5 and y = 4 ....
the solution to the independent system of equations can be represented as a point.
(5,4)
hope this helps! :)
what is -9 - (-4) =
what is 5 - -5
Answer:
1. it would be -5
2. It would be 10
Step-by-step explanation:
two negatives equal a positive.
-9+4= -5
5+5=10
What is the solution to the equation-6.5x= 59.8
Answer:
HEYYY SHAWTYYYYY
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.5x = 59.8
multiply both sides by 10
65x = 598
x = 9 and 13/65
HELP ME PLEASE I NEED THE ANSWERS
The following table shows the salary of 7 people in an office last year.
Name Income
Andy £9500
Bevan £25000
Cheryl £13250
Deva £75000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
a) £
b) £
Answer:
dfghdfgh
Step-by-step explanation:
Answer:
26285.71
Step-by-step explanation:
sum all income
divide by number of incomes
PLEASE HELP FAST READ THE QUESTION I WILL GVOE EXTRA POINTS PLUS BRAINLIST FOR A. And B. Really easy!
Answer
A) 4/11 B)7/11
Step-by-step explanation:
because there is 11 letters in PROBABILITY four are vowels and 7 are consonants. That means 4/11 chance can be a vowel
Answer:
A:
5 in 26
B:
19 in 26
Step-by-step explanation:
There are 5 vowels and 26 letters in the alphabet.
There are 19 consonants.
:)
Paula bought 8 pairs of socks. She paid $104. Two pairs of socks cost the same amount. How much did each of the others pairs of socks cost?
Answer:
The other socks cost 9$.
Step-by-step explanation:
Here are the ingredients needed to make 20 walnut biscuits.
Walnut biscuits
Ingredients to make 20 biscuits
50g butter
100g caster sugar
40g flour
50g walnuts
2 egg whites
Liz wants to make 50 walnut biscuits
Work out the amount of each ingredient she needs
Answer:
125g butter
250g caster sugar
100g flour
125g walnuts
5 egg whites
I THINK
Answer:
Step-by-step explanation:
just do x2.5
Sarah and Eva took a road trip. Sarah drove two-fifths of the miles. If she drove 128 miles , how many total miles did they drive?
I need the answer without x being the equal. thanks!
Answer: 320 miles
Step-by-step explanation:
Let the miles that they drove be represented by x.
Since Sarah drove two-fifths of the miles which is 128 miles, then the total miles would be:
= 2/5 × x = 128
0.4 × x = 128
0.4x = 128
x = 128/0.4
x = 320
The total miles is 320 miles.
I need the answers for these two questions
Answer:
$29.14
$86.68
Step-by-step explanation:
$30 before tax
Discount: 20%
100% - 20% = 80% = 0.8
0.8 * $30 = $24 after discount
Tax: 6.4%
100% + 6.4% = 106.4% = 1.064
1.604 * $24 = 25.54 after tax and discount
Tip: 15% = 0.15
0.15 * $24 = $3.60
Total = $25.54 + $3.60 = $29.14
$75 before tax
10% discount
100% - 10% = 90%
90% of $75 = 0.9 * $75 = $67.50 after discount
Tax: 7%
100% + 7% = 107% = 1.07
1.07 * $67.5 = $72.23 after discount and tax
Tip: 20% = 0.2
0.2 * $67.50 = $13.50
Total = $72.23 + $13.50 = $85.73
can the numbers 3,6 and 8 be the values for the sides of a triangle
Answer:
No
Step-by-step explanation:
The reason why is the square root of 3^2 + 6^2 does not equal 8^2.
What is the answer to this question?
Answer:
10.5cms
Step-by-step explanation:
PLEASE FOLLOW ME
CAN WE BE FRIENDS
The sum of four consecutive odd
integers is – 40.
What is the largest integer?
Answer:
136
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST!!! I'M KINDA DESPERATE NOW!!!
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
[tex]f(x)=2x^2+16\\g(x)=\sqrt{5x^{3} }[/tex]
Answer:
Part 1)
[tex]f(g(x))=10x^3+16[/tex]
Part 2)
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=2x^2+16[/tex]
Which represents the amount of money Raul earns per ticket and:
[tex]g(x)=\sqrt{5x^3}[/tex]
Which represents the number of tickets Raul sells per hour.
Part 1)
We want to find f(g(x)).
So, we substitute g(x) for f(x). This yields:
[tex]f(g(x))=2(\sqrt{5x^3})^2+16[/tex]
This can be expanded a simplified as such:
[tex]f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16[/tex]
Part 2)
Recall that f(x) outputs the amount of money Raul earns per ticket.
And g(x) inputs the amount of hours Raul works.
When we composed f(g(x)), the input and output stayed the same.
So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).
Answer:
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
Lauren Rodriguez earns $8.35 per hour as a swimming instructor. How many hours per week must she work if she wants to earn approximately $190.00 per week?
Answer:
22.75 hours per week
Step-by-step explanation:
We can see from the question that the target amount of money is $190.00 per week.
If Lauren Rodriguez earns $8.35 in one hour
then $190.00 will be earned in x hours
8.35x = 190.00
x = 190.00/8.35
x = 22.75 hours per week
Karen purchased fabric for a project she is working on. She bought 3 yards of fabric. Each yard cost $6.68. How much money did Karen spend on fabric?
Answer:
$20.04
Step-by-step explanation:
$6.68 x 3 = $20.04
Answer:
un-realistic
Step-by-step explanation:
didnt hear a single "can I speak with your manager?"
11 12 13 14 15
There were 180 people who voted at the town council meeting. Of these people, 60% voted for building a
new basketball court in the park
How many people voted against building the new basketball court? Complete the explanation of how to
find the answer
60% of 180 equals
and 180-
people that are against building the basketball court.
There are
the graphing would be easier to use because it demonstrates the numbers that are in the situation
Since only 2 of the 50 states are not connected to the mainland, what percentage of the states ARE on the mainland?
Answer:
96%
Step-by-step explanation:
too easy for me
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Which equation shows how the distributive property can be used to find the number of
Xs in both arrays?
Answer:
here is a simple version
lets make A equal the exponent so (A=^2 or 3 or whatever)
the exponent will be the amount of times you want to repeat the process.
Now lets make x = the first array, so x=3
and lets make y = the second array, y=7
now a simple equation would be (3x)(7y)^A or for this you could say
(3x)(7y)^6
Population Data
VX
Compare the mean of the population with the mean of
a sample.
2
5
10
N
4
1
5
3
The mean of the population is
00
1
4
3
The mean of the sample is
Sample Data
4
1
5
3
The difference between the mean of the sample and
the mean of the population is
Answer:
The mean of the population is
4
.
The mean of the sample is
3.25
.
The difference between the mean of the sample and the mean of the population is
0.75
.
Step-by-step explanation:
Just did it
The difference between the mean of the sample and the mean of the population is equal to 0.75
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
We are given the
2 5 10 N 4 1 5 3
The mean of the population is;
0 + 1 + 4 + 3 / 4 = 4.
The mean of the sample is;
4 + 1 + 5 + 3 / 4 = 3.25
The difference between the mean of the sample and the mean of the population is;
4 - 0.35 = 0.75
Learn more about mean;
https://brainly.com/question/17060266
#SPJ2
if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies
Answer:
4cups of chocolate chips
Hope I helped
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2 cups times two recipes
2x2=4
om sells cookies in his store. His bakery has a total of 1,850 cookies for the weekend. If 30% of his cookies are oatmeal raisin cookies, how many cookies are oatmeal raisin?
Answer:
555
Step-by-step explanation:
You turn 30% into a decimal= 0.30
Then multiply 1850*0.30 which gets you 555
A car was bought for £18,000.
It was sold for £15,300.
Express this as a percentage decrease.
Answer:
15%
Step-by-step explanation:
when 18000 is 100%, 10% is 1800. So to make 15300 we need 8.5 1800s. So 85% of 18000 is 15300 so the rest is 15%. The answer is 15%
Answer:
15%
Step-by-step explanation:
[ (18,000-15,300) / 18,000 ] x 100
= (27,00 / 18,000) x 100
= 0.15 x 100
= 15%