Answer:
(2, -1)
Step-by-step explanation:
We can subtract x from both sides from the first equation, then multiply the first equation by 4, so it's easier to solve later:
-4x+8y = -16
4x+3y = 5
Then, we can add the 2 equations, so the x cancels out:
11y = -11
y=-1
Now, we can plug y as -1 to any of the equations above:
4x+3*(-1)=5
4x=8
x=2
Therefore, the solution to these 2 equations are (2, -1)
The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of equations is given below.
x = 2y + 4 ...1
4x + 3y = 5 ...2
From equations 1 and 2, then we have
4(2y + 4) + 3y = 5
8y + 16 + 3y = 5
11y = - 11
y = -1
Then the value of 'x' is given as,
x = 2 (-1) + 4
x = - 2 + 4
x = 2
The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.
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How to ask someone out ?
Answer:
There are so many ways! Do want me to help?
Step-by-step explanation:
solve the system of equations
Answer:
y = -3 when x = 4
Step-by-step explanation:
2x-4y = 20
x = 4
2(4) - 4y = 20
8 - 4y = 20
-4y = 12
y = -3
The graph shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled. PART A What is the unit rate for each machine? PART B Which machine can fill cartons at a faster rate? How much faster?
Answer:
A. 25, 22
B. machine 1
How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2
Step-by-step explanation:
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.
The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -
y = [(100 - 50)/(4 - 2)]x
y = 25x
AND
y = 22x describes the rate at which Machine 2 can fill cartons.
So, we can write -
Machine 1's unit rate = 25
Machine 2's unit rate = 22
It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
Therefore,
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
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[Refer to image for complete question]
HELP ASAPPPP
(8x - 14)*
(2x + 4)*
Answer:
X is 17
Step-by-step explanation:
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
Answer:
a. The equation is y = 19 x
b. The height of 13 DVD cases is 247 mm
Step-by-step explanation:
- A proportional relationship is about two quantities vary directly with
each other
- Ex: If y proportion to x, then y is varies directly with x
That means y ∝ x ⇒ y = k x, where k is the constant of variation
- The height of a stack of DVD case is proportional to the number of
case in the stack
- That means the height of DVD cases varies with the number of cases
- The height of 6 DVD case is 114 mm
a.
∵ The number of cases = x
∵ The height of the cases = y
∴ y ∝ x
∴ y = k x
- To find k lets use the first information above
∵ y = 114 mm when x = 6
- Substitute these values in the equation above to find k
∵ 114 = 6 k
- Divide both sides by 6
∴ k = 19
- Substitute the value of k in the equation above
∴ y = 19 x
* The equation is y = 19 x
b.
- We need to find the height of 13 DVD cases
∵ y = 19 x
∵ x = 13
- Substitute the value of x in the equation
∴ y = 19 × 13
∴ y = 247 mm
* The height of 13 DVD cases is 247 mm
The height will be 143 mm for a stack of 13 DVD cases.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The overall height of the 8 cases stacked on top of each other is 88 mm.
Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):
⇒ 88/ 8 = 13
⇒ 88 ÷ 8 = 13
Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:
11 × 13= 143
Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.
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The question seems to be incomplete the correct question would be:
The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
The height of the 8 cases stacked on top of each other is 88 mm.
Given g(x) = 2x - 4, solve for x when g(x) = 0
Answer:
2
Step-by-step explanation:
2×2=4 4-4=0 so the answer is 2
Answer:
2
Step-by-step explanation:
g(x)=2x-4
x=? when g(x)=0
we know,
g(x)=2x-4
0=2x-4
4=2x
x=4/2
x=2#
What is the final cost of a "$29" meal with a %20 tip?
Last one!!
Answer:
34.8 dollars
Step-by-step explanation:
multiply 29 by 1.2 to get the final answer
(60)x = 1, what are the possible values of x? Explain your answer.
Answer:
[tex]\frac{1}{60}[/tex]
Step-by-step explanation:
Problem:
The possible values of x in the equation (60)x = 1;
Solution:
Such a problem like this in which the highest power of the unknown is 1 will have just one solution.
60x = 1
To solve this, we take the multiplicative inverse of 60;
the multiplicative inverse of 60 = [tex]\frac{1}{60}[/tex]
Use this inverse to multiply both sides of the expression;
[tex]\frac{1}{60}[/tex] [tex]x[/tex] 60x = 1 x [tex]\frac{1}{60}[/tex]
x = [tex]\frac{1}{60}[/tex]
7x -7 = 6x +11
I forgot how do answer this can you help me ??
What fraction is the same as 9/12
Answer:
3/4
Step-by-step explanation:
If you divide both the numerator and the denominator by 3 you'll get 3 over 4.
Mrs. Lovejoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if she uses every carnation? Using the information from the question above, how many of each color carnation will Mrs. Lovejoy have in each arrangement? **Enter in your answer as a list using commas in the following order "# of red, # of white, # of pink"
Answer:
36
Step-by-step explanation:
(6x + 7) + (8x-27) how do you solve
Answer:
x=+17
Step-by-step explanation:
6x+7=8x-27
We move all terms to the left:
6x+7-(8x-27)=0
We get rid of parentheses
6x-8x+27+7=0
We add all the numbers together, and all the variables
-2x+34=0
We move all terms containing x to the left, all other terms to the right
-2x=-34
x=-34/-2
x=+17
6. A spinner is divided into 8 equals sections and the sections are labeled 1 through 8. What is the probability of a success and a failure for this experiment? P (success) = one-fourth; P (failure) = Seven-eighths P (success) = one-fourth; P (failure) = Three-fourths P (success) = three-fourths; P (failure) = one-fourth P (success) = seven-eighths; P (failure) = One-eighth
Answer:
P (Success) = 1/8
P (Failure) = 7/8
Step-by-step explanation:
It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.
Only one section is considered as success and the remaining seven are failures.
So, the probability of a success is,
P (Success) = 1/8
And the probability of a failure is,
P (Failure) = 7/8
Answer:
a
Step-by-step explanation:
37.28 for 2 pair of jeans how much did they cost
Answer:
One pair of jeans costed 18.64
Step-by-step explanation:
37.28 divided by 2.
35. You run an accounting business that specializes in auditing (verifying accounting records).
One of your auditors is working on the payroll records for a company with 75 employees. Some are
part-time and some are full-time. After working for three days, your auditor tells you that the audit
is completed for half of the full-time employees, but there are still 50 employee records to audit.
Find out how many of the employees are full time and how many are part-time.
Answer:
There are 50 full-time and 25 part-time employees in the company.
Step-by-step explanation:
Total number of employee in the company = 75
Employee's records to be audited = 50
Number of audited record = 75 - 50
= 25
Records of employees to be audited = 50
Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2
= 50
The number of part-time employee's in the company = 75 - 50
= 25
There are 50 full-time and 25 part-time employees in the company.
Evaluate -8a - b if a = 10 and b = 6
-86 is the value of -8a-b when a = 10 and b = 6.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -8a-b
a and b are the variables in the given expression.
Minus is the operator of subtraction in the expression.
The value of a is given as 10 and b is 6.
Now we have to substitute the values of a and b in expression.
-8(10)-6
Eight times of ten is eighty
-80-6
Minus eighty minus six is minus eighty six.
-86
Hence, -86 is the value of -8a-b when a = 10 and b = 6.
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Explain! Prize! Thank you!!!!
Answer:
B.
Step-by-step explanation:
The answer is B since it cost $3 for 5, it would be $6 or double for 10.
Answer:
B. $6
Step-by-step explanation:
3 divided by 5 = 0.6
0.6 multiplied by 10 = $6
(I might be wrong. Sorry if I am. Don't get mad at me)
Hope I helped :)
Please consider Brainliest :)
A school has a total enrollment of 800 students. Twenty percent of those students play a sport. How many play a sport?
Answer:
160
Step-by-step explanation:
... ...... ..
....i
Answer It should be 40%
Both questions in picture! Will give brainliest!!
Answer:
See belolw
Step-by-step explanation:
[tex]P=53\text{ft}[/tex]
[tex]P = a+b+c[/tex]
[tex]53=2x-15+x+1+3x-29[/tex]
[tex]53=6x-43[/tex]
[tex]96=6x[/tex]
[tex]x=16[/tex]
[tex]a=2x-15[/tex]
[tex]a=2(16)-15[/tex]
[tex]\boxed{a=17}[/tex]
[tex]b=x+1[/tex]
[tex]b=16+1[/tex]
[tex]\boxed{b=17}[/tex]
[tex]c=3x-29[/tex]
[tex]c=3(16)-29[/tex]
[tex]\boxed{c=19}[/tex]
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]
Find the slope of 12,-7 and 2,-2
Answers: -0.5 m
here you go
Brent caught 9 tilapia and 8 catfish. What is equivalent to the ratio of catfish to tilapia?
Answer:
8:9
Step-by-step explanation: the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
I hope this helps plz tell me if its wrong so i can fix it :)
HELP ME PLS IT"S DUE TODAY. JUST GIVE ME THE ACTUAL ANSWER IF YOU KNOW IT PLUS ILL GIVE YOU 5 STARS!!!!
Answer:
the answer is we dont know cuz theres no question
ok then it should be the bag wit 8lb
Answer:
Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).
Answerr this. Will also give branliest. helpp
Answer:
Angles 1 and 9 are corresponding angles
2 and 3 same side interior angles
8 and 12 are OTHER
6 and 12 are alternate interior
1 and 2 are linear pairs
15 and 11 are alternate interior
8 and 9 are same side interior
2 and 4 are corresponding
Step-by-step explanation:
Use the graph!
Brainliest??Hope it helped!
∠1 and ∠9 = Corresponding angles
∠2 and ∠3 = Same side interior angles
∠8 and ∠12 = Other
∠6 and ∠12 = Alternate interior angles
∠1 and ∠2 = Lineae pair
∠15 and ∠11 = Alternate interior angles
∠8 and ∠9 = Same side interior angles
∠2 and ∠4 = Corresponding angles
1. If f(x) = 6x2 and h(x) = 3x, then (f/h)(x)
A2
B2x
C2x2
0.00054 - (3.2 x 10-4)
in scientific notation and standard notation
Answer:
in scientific notation it is − 32x+4.00054
Step-by-step explanation:
thats all i know
At a video arcade, action video games usually cost $12.50. This week, they are on sale for 30% off. What is the sale price of the action video games?
Answer:
3.75
Step-by-step explanation:
Answer:
$8.75
Step-by-step explanation:
for every 5 hours that he works, andre is paid $60.20.
how much is he made in hour 1?
how much did he make in hour 2?
how much did he make in hour 3?
how much did he made in hour 4?
how much did he make in hour 5?
Answer:
here it is
Step-by-step explanation:
Simply divide 5 INTO 60.20 to get $ per hour.
Another way of saying this is divide $60.20 BY 5.
If ∠3 and ∠4 are complementary angles, m∠3 = (x+24)°, and m∠4 = x°, then find the measures of ∠3 and ∠4.
Answer:
[tex]\huge\boxed{3 = 57 \textdegree}[/tex]
[tex]\huge\boxed{4 = 33 \textdegree}[/tex]
Step-by-step explanation:
When two angles are complementary, their angle lengths add up to 90°.
Therefore, we can make the equation
[tex](x+24) + (x) = 90[/tex]
Now we can solve for x.
[tex]2x+24=90[/tex] [tex]2x=66[/tex] [tex]x = 33[/tex]Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.
We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.
[tex]33+24\\\\57[/tex]
Hope this helped!
need help pease its due at 11;59pm today explian
Answer:
65
Step-by-step explanation:
you add all the numbers inside.
80+35= 115
You have to make sure it equals to 180 to find angle 1.
Therefore, 180-115=65.
If you can walk 3 miles in an hour, how many miles can you walk in 30 minutes, given the
3
same pace?
A. 1 1/6 miles
B. 1 2/3miles
C. 6 2/3miles
D. 1 1/3 miles
