Answer:
(x, y) = (6, 8) using linear combination
Step-by-step explanation:
The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.
Adding the two equations together gives ...
(2x -y) +(-2x +3y) = (4) +(12)
2y = 16 . . . . . . . . simplify
y = 8 . . . . . . . divide by 2
Substituting for y in the first equation gives ...
2x -8 = 4
x -4 = 2 . . . . . divide by 2
x = 6 . . . . . . . add 4
The solution is (x, y) = (6, 8).
Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $159 for parts. The total was $456.50. Write and solve an equation which can be used to determine x x, the cost of the labor per hour.
The equation to represent the problem is written as
$456.50 = 3.5x + $159
the cost of the labor per hour is $85.
How to determine the cost of the labor per hourLet x be the cost of the labor per hour.
The technician worked on the computer for 3.5 hours, so the labor cost would be 3.5x.
The total cost, including the labor and parts, was $456.50.
So, we can set up an equation to represent the total cost:
Total cost = Labor cost + Parts cost
$456.50 = 3.5x + $159
Solving for x:
Subtract $159 from both sides:
$456.50 - $159 = 3.5x
$297.50 = 3.5x
Finally, divide both sides by 3.5 to find the value of x:
x = $297.50 / 3.5
x = $85
Therefore, the cost of the labor per hour is $85.
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a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5
Write an equation for each one set the equal to each other and solve.
A: 35 + 3x
B: 27.50 + 4.50x
35 + 3x = 27.50 + 4.50x
Subtract 27.50 from both sides:
7.50 + 3x = 4.50x
Subtract 3x from both sides
7.50 = 1.50x
Divide both sides by 1.50
X = 5
Answer: 5
17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer
Answer:
Option A
Step-by-step explanation:
Let,
Length = 5x
Breadth = 4x
Perimeter = 2(l + b)
=> 144 = 2(5x + 4x)
=> 144 = 2(9x)
=> 144 = 18x
=> 144/18 = x
=> 8 = x
Therefore,
Length = 5x = 5(8) = 40 cm
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
selling price = original cost + markup value
A.
$509.95
B.
$831.57
C.
$835.49
The selling price of the item is $835.49
How to determine the selling price?The given parameters are:
Original cost = $784.50
Markup = 6.5%
The selling price is calculated as
Selling price = Original cost * (1 + Markup)
So, we have:
Selling price =$784.50 * (1 + 6.5%)
Evaluate the expression
Selling price =$835.49
Hence, the selling price of the item is $835.49
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Cellular phone service that charges per-minute will charge $15 for 70 minutes. How much would 1077 minutes cost?
Answer:
$5026
Step-by-step explanation:
if you divide 70 by 15 you get 4.66666667
then multiply 4.6666667 by 1077 and you get 5026
A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)
The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
Given the following
Initial population = 150 birdsIf there is a 16% increase, the increment will be 0.16(150)
The population B(t) as a function of time will be expreessed as:
B(t) = 150(1+0.16)
B(t) = 150 (1.16)
Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
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5 kilometers in 30 minutes how many kilometers can she run in 45 minutes
8 kilometers
1 kilometer every 6 minutes
PLEASE PLEASE HELP ME
Answer:
Assuming that it ends at 9.5. The domain is (-8 , 9.5). However, assuming it continues further to the right, it could be (-8 , ∞)
Range is the area covered vertically. Assuming it ends at 9.5 it would be (4 , -4) However, assuming it continues further down vertically, it would/could be (4 , -∞)
Neither.
Step-by-step explanation:
Domain is the area covered horizontally. Assuming that it ends at 9.5. The domain is (-8 , 9.5). However, assuming it continues further to the right, it could be (-8 , ∞)
Range is the area covered vertically. Assuming it ends at 9.5 it would be (4 , -4) However, assuming it continues further down vertically, it would/could be (4 , -∞)
It is neither because it is on the x-axis.
how do you subtract -5000 from 263
Answer:
263-5000=4737
Step-by-step explanation:
IF ITS -5000-263
if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.
[-5000+(-263)=-5263]
IF ITS 263-(-5000)
do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.
[263+5000=5263]
you have $15 and earn an additional $0.50 for each cup of water you sell. write an equation that represents the total amount of A (in dollars) you have after selling w cups of water
Answer: A = 15 + 0.5(w)
Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.
To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).
Answer:
Step-by-step explanation:
slope-intercept form is y=mx+b
m = slope = change in y/change in x
change in y/change in x = 2/1
m = 2
b = y intercept = y value when x = 0
using the slope, go left 2 units and down 4
when x = 0, y = 0
b = 0
y = mx+b when m = 2 and b = 0
y = 2x+0
y = 2x
what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i?
Answer:
1+2i
Step-by-step explanation:
midpoint: (6 + -4)/2 + (-2 + 6)/2 i
= 1+2i
you and your friend are both saving your allowance for summer vacation. You start with $50.50 in the bank, and your allowance is $8.50 per week. Your friend starts with $8.00 in the bank, and they get twice as much for allowance. After how many weeks do you have the same amount of money
Answer:
5
Step-by-step explanation:
17+8+17+17+17+17=93
8.50+50.50+8.50+8.50+8.50+8.50=93
Complete the table using the equation y = 5x + 3.
x -1 0 1 2 3
y -? ? ? ? ?
Answer:
See below
Step-by-step explanation:
When x=-1, y=5(-1)+3=-5+3=-2
When x=0, y=5(0)+3=0+3=3
When x=1, y=5(1)+3=5+3=8
When x=2, y=5(2)+3=10+3=13
When x=3, y=5(3)+3=13+3=16
Therefore, this is the correct table:
x -1 0 1 2 3
y -2 3 8 3 16
(w-10x) (w+10x) Use the Identities to solve this question
We are provided that –
(w-10x) (w+10x)Applying identity –
a² - b² = (a + b)(a - b)[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]
Find the unknown number in the equation 16 x 7 = 28 x n. 4 7 8 10
Answer:
the answer is 4
Step-by-step explanation:
16×7= 112
112÷28=4
Subtract
O
O
Iw + 4 from
I W .
+3
10-1
-w+1
w+7
- 7 / 20 + 7
7
-
O
O
Answer: (1/4)w - 1
Step-by-step explanation:
[(1/2)w + 3] - [(1/4)w + 4]
[(1/2)w - (1/4)w] + [3 - 4]
(1/4)w - 1
Solve. 34x+78=414 Enter your answer as a mixed number in simplest form in the box. x =
Answer:
The answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Step-by-step explanation:
34x + 78 = 414=> 34x = 414 - 78=> 34x = 336=> x = 336/34=> [tex]9\frac{30}{34} = 9\frac{15}{17}[/tex]Conclusion:
Therefore, the answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer: X= 9 over 2
I think this is the right answer
sorry if it is not
This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
У
Х
(2, 3)
Write down the coordinates of the vertex of the curve with equation
a) f(x) + 5
b) –f(x)
help me please
Answer:
Below in bold.
Step-by-step explanation:
a) the curve moves up 5 units, so
the vertex is (2, -3 + 5)
= (2, 2).
b) - f(x) is the image of f(x) in the x-axis so
The vertex is at (2, 3).
Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please
[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]
5. Name the side included by
AB
AC
BC
none of these.
Answer:
AB
Step-by-step explanation:
Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which statement is an example of the transitive property of congruence?
A. If A EFG = AHJK, then AHJK = A MNP.
B. AEFG = AEFG
C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
D. If A EFG - AHJK, then AHJK - A EFG.
Answer:
my answer was d. 90 percent sure .
Step-by-step explanation:
The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
Meaning of the transitive property of congruenceThis transistive property holds congruent figure. it is states that: If Figure A is equal to figure B and Figure B is equal to Figure C, then Figure A will be equated to Figure C.
For example: AB = CD; CD = EF, then AB = EF
if angle A is equivalent to angle B and angle B is equivalent to angle C; then angle A will be equivalent to angle C
in conclusion, The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
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PLEASE HELP ITS 10TH GRADE GEOMETRY
Hope you could get an idea from here.
Doubt clarification - use comment section.
help plz (asap) ..............................................................................
Answer:
oof u alone kid
Step-by-step explanation:
can anyone find the area to this?
Answer:36
Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12
PLS HELP AND ANSWER CORRECTLY 15 POINTS AND BRAINLIEST!!!
how can you test to see if a given point is in the solution set of a system of inequalities?
Answer:
you can plug the point into the inequality and see if it works
Step-by-step explanation:
If I have xy>4 and I want to test the point 4,6 I would take xy which would be 4 and 6 because those are the numbers from the coordinates. when writing coordinates x is the first number and y is the second. 4 times 6 because x times y which is xy is equal to 24 now we have 24>4 and this is true
How far dose a kangaroo travel in 2 minutes
Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)
Answer:
B. y = 1/3x + 3
Step-by-step explanation:
Answer: I think the answer is B
please help 50 pts and brainliest if correct
Answer:
C
Step-by-step explanation:
it makes sense yah?
Answer:
C) Three fourths of the fish he caught were less than 50.5 pounds
Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh
the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school
Answer:
1 1/12
Step-by-step explanation:
Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)
Find common denominator, which is 24
6 times 4 equals 24; 11 times 4 equals 44
4 times 6 equals 24; 3 times 6 equals 18
44/24 - 18/24 (subtract only top numbers (44-18) = 26
26/24 simplified is 13/12 or 1 1/12
Hope it's right :)