Answer:
f = 3
Step-by-step explanation:
8 = 2f + 2
-2 -2
6 = 2f
/2 /2
3 = f
Parker is working two summer jobs, making $11 per hour lifeguards and $22 per hour tutoring. Last week Parker worked a total of 16 hours and earned a total of $242. Determine the number of hours Parker worked lifeguarding last week and the number of hours he worked tutoring last week
Answer:
lifeguarding: 6 hours
tutoring: 10 hours
Step-by-step explanation:
First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:
11x + 22y
Then, write a system of equations to be able to find both variables.
If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:
x + y = 16
If Parker earned a total of $242, then you know that his combined pay will be:
11x + 22y = $242
Now, you solve the system of equations (IMAGE.A):
First, solve for x:
11x + 22y = 242
11x = 242 – 22y
x = 22 – 2y
Now, plug in the x-value in the other equation:
x + y = 16
22 – 2y + y = 16
22 – y = 16
–y = –6
y = 6
This means that he has worked 6 tutoring hours.
Now, plug in the y-value to find the x-value:
11x + 22y = 242
11x + 22(6) = 242
11x + 132 = 242
11x = 110
x = 10
this means that he has worked 10 lifeguarding hours.
Answer:
10 hours lifeguarding, 6 hours tutoring
Step-by-step explanation:
You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!
d =−12 is one of two solutions of the equation |d+ 9|=3
true or false
Let's find out by replacing d with -12. Then we'll simplify the left side
|d+9| = 3
|-12+9| = 3 .... replace d with -12
|-3| = 3
3 = 3
Since we get a true statement, ie the same thing on both sides, this means the original equation is true when d = -12.
Therefore d = -12 is one of the two solutions to the original equation.
Answer: TrueAnswer:
True
Step-by-step explanation:
We can check this by substituting x = - 12 into the left side of the equation. If the result is equal to the right side then it is a solution.
| - 12 + 9 | = | - 3 | = 3 = right side
Thus x = - 12 is one of the solutions to the equation.
[ The other solution is x = - 6 ]
what is the answer to :
4 x 10³÷ 2 x 10∧12
Answer:
2x10^15x^2
Step-by-step explanation:
-x + 3 = 2 ( x + 15 )
Answer:
x= -9
Step-by-step explanation:
-x+3=2(x+15)
-x+3=2x+30
-x-2x+3=30-3
-3x=30-3
-3x=27
x= -9
Number 10 will be marked brainliest
Answer:
Sorry. Please mark as brainliest
Pool #1 is a rectangle that is 14 feet wide. The length is (14– 8)2ft.
The dimensions of the pool are: Length=________ ft Width=_________ft
Answer: the length is 6 feet. The width is 2 feet
Step-by-step explanation:
The garden pool is rectangular in shape.
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that
L× W = 12 - - - - - - - - - - 1
The length of the pool needs to be 2ft more than twice that width. This means that
L = 2W + 2 - - - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
W(2W + 2) = 12
2W^2 + 2W = 12
2W^2 + 2W - 12 = 0
W^2 + W - 6 = 0
W^2 + 3W - 2W - 6 = 0
W(W + 3) - 2(W + 3) = 0
W - 2 = 0 or W + 3 = 0
W = 2 or W = - 3
Since the Width cannot be negative, then the width is 2 feet
Substituting W = 2 into equation 2. It becomes
L = 2×2 + 2 = 6 feet
4x + 20y = -180
Put the following equation of a line into slope intercept form, simplifying fractions
Answer:
y = - [tex]\frac{1}{5}[/tex] x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
4x + 20y = - 180 ( subtract 4x from both sides )
20y = - 4x - 180 ( divide all terms by 20 )
y = [tex]\frac{-4}{20}[/tex] - [tex]\frac{180}{20}[/tex] , that is
y = - [tex]\frac{1}{5}[/tex] x - 9 ← in slope- intercept form
Write an equation that represents the scenario: Taylor’s Tow Truck charges $30 to pick up the car and then an additional 2.50 per mile driven to tow your car.
Answer:
30+2.50m=t
Step-by-step explanation:
where m represents the amount of miles driven and t represents the total of money owed
can i get brainliest please?
Answer:
joker is not see the following questions and the answers will come up on your site
angles on the same side of a transversal and in between the lines it intersects are _____?
Prayut is buying peanuts to make satay sauce to serve with
noodles. He buys a bag of peanuts for $1.20.
What is the unit price per ounce Prayut pays for the peanuts? (16 oz = 1 lb)
$0.15
$0.20
O $2.40
O $3.20
Answer:
$0.15
Step-by-step explanation:
Which expression is equivalent to the given expression?
2x^2– 14x + 24
Answer:
2(x - 3)(x - 4)
Step-by-step explanation:
Write the equation of the line that passes
through the point (-6, 5) and has a slope of 2/3
in point-slope form.
Answer:
y-5=2/3(x+6)
Step-by-step explanation:
help please :(
20 points to help
Answer:
67/24
Step-by-step explanation:
that is what my graphing calculator got, I hope its right
Answer:
2 19/24
Step-by-step explanation:
if we go by order of operations we will need to find 3/4+1/6 first because its in parenthesis. we would need to make the fractions compatible so we would turn 3/4 into 9/12, and 1/6 into 2/12. That would get us 11/12. Next up we would calculate the exponent. 2**4 is equal to 2*2*2*2, which is 16. then we would do the division. 2/3 / 16=1/24. 11/12 / 1/3= 11/4. again, we need to make them compatible so we would turn 11/4 into 66/24. finally we add 1/24 and 66/24, which is 67/24. we would turn that into 2 19/24. hope this helps!
HELP IS GREATLY APPRECIATED:)
Pia registered for an account on the website of a national magazine. The magazine charges $5 as a
setup fee and $17 per month for access to the website. What is the initial value of the function that
represents Pia's cost for access to the magazine's website over time?
A.) 0
B.) 5
C.) 17
D.) 22
Answer:
d.)22
(I'm pretty sure it's d but if not it's c)
please I need answer asap!!
Where is the point (5,-1) located in the coordinate plane? O A. In quadrant IV B. In quadrant II C. On the y-axis OD. In quadrant Ill
Answer:
A. In quadrant IV
Step-by-step explanation:
I checked it and it’s right on A P E X hope this helps:)
.a. Find the LCM of the 45 and 70
Answer:
630.
Find the Prime factorization of 45, 3 x 3 x 5
Find the prime factorization of 70, 2 x 5 x7
Multiply each factor the greater number of times it occurs.
You get 630.
LCM of 45 and 70 :
= 45 ÷ 5 , 70 ÷ 5 ( Both the numbers are being divided by 5 ; which is their smallest common factor )
= 14 , 9
= 14 ÷ 14 , 9 ( We are dividing 14 by 14 as both 9 and 14 dont have have a common factor )
= 1 , 9
= 1 , 9 ÷ 3 ( 9 is being divided by 3 )
= 1 , 3
= 1 , 3 ÷ 3 ( 3 is being divided by 3 )
= 1 , 1
LCM of 45 and 70 = 5 × 14 × 3 × 3
LCM of 45 and 70 = 630
Therefore , the LCM of the 45 and 70 = 630 .
The parking garage for a building is underground. Kennedy parks her car 4 floors below ground level. She plans to walk to the 3rd floor of the office building from her car. If she uses the stairs to walk from her car to the 3rd floor of the building, how many floors will she travel?
Answer:
5 flights of stairs
Step-by-step explanation:
The car is 4 floors below ground so she walks 4 to get to ground level. Then she walks 3 more to get to where she is going.
4 + 3 = 7 total floors
NEED HELP!!!
Which description is represented by a discrete graph?
A) Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?
B) The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?
C) Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?
D) A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?
Answer:
c
Step-by-step explanation:
ik cause you don't so deal with it
Answer:
Answer is C. Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?
Explanation:
;v;
Miranda has borrowed $2000 from Bank of America to help pay for a flat screen TV. The $2000 was obtained at a rate of 5% for a period of 36 months. How much will she have paid for the TV after the 36 months?
Answer:
u get 300Step-by-step explanation:
so what ur looking for is the "I" and first we covert 36 months in 3 years the do this set up 2000(0.05)3Sarah bought 6 rolls of paper towels. She got 214.2 meters of paper towels in all. How
many meters of paper towels were on each roll?
Answer:
35.7 meters
Step-by-step explanation:
Literally all you do is divide the overall amount by how many rolls there were. That easy.
For the function, f(x) = 2x + 1. If f(x) = 3, what is the value of x?
A. 2
B. 1
C. 7
D.0
Answer:
B. (1) is the value of x
Step-by-step explanation:
Answer:
i got -0.5
Step-by-step explanation:
Find the variation constant and an equation of variation for the given situation.
y varies directly as x, and y = 7 when x = 1/2.
Answer:
[tex]\displaystyle y=14\cdot x[/tex]
Step-by-step explanation:
Directly Proportion
It's said that y varies directly proportional as x, if:
[tex]y=k\cdot x[/tex]
Where k is a constant of proportionality.
We know that y=7 when x=1/2.
Using the above condition, we can find the value of k:
[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]
Solving for k:
k=14
Thus, the equation is:
[tex]\boxed{\displaystyle y=14\cdot x}[/tex]
In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94º. Based on the information that is provided, which could be a correct set of sides for this set of angles?
O side QR = 7 cm. side RS = 10 cm , side QS = 12.6 cm
O side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm side
O QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
O side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
You know, it's easier to draw it out to figure out the answer!
It's side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm. So, it's D. (last option)
Answer:
D
Step-by-step explanation:
I got it right on the test. 100%
I need help asp . I'm running out of time
Answer:
A = 104 ft²
Step-by-step explanation:
We're given that the width of the rectangle is 8 so that's the value of w. All we have to do is just plug in 8 into the equation:
A=w²+5w
A=(8)²+5(8)
A=64+40
A = 104 ft²
issac is a clothing salesman working on straight commission. He sold $1311
this week and gets 9% commission. How much did he earn?
Answer:
Isaac earned $117.99 this week
Step-by-step explanation:
Percentages
The N% of a quantity M is calculated as follows:
N * M / 100
Isaac earns a 9% commission for his sales.
This week he sold $1,311, thus his commission is:
9 * 1,311 / 100 = 117.99
Isaac earned $117.99 this week
The ratio of the male and female teachers is 3:4 in Aadarsh H.S. School. If the number
of male teachers is 12, find the number of female teachers.
d)
7
Answer:
there is 16 female teachers because 4 * 4 is 14
male is eqaul to 12
so therefore female is eqaul to 3/4*12=9
Select the correct answer from each drop-down menu. Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is given by the function C(n) = 60 + 0.45n. The function that models the number of cupcakes Lisa makes in h hours is n(h) = . The cost function in terms of hours, h, is given by . Lisa's cost for making cupcakes for 2 hours is .
Answer:
Step-by-step explanation:
from the question, we are told that Lisa bakes 3dozens cupcakes every hour, to know the amount she makes in h hours, we will use the equality postulate as shown;.
3 dozens = 1hour
n(h) = h hour
Cross multiply
n(h) × 1 = 3×h
n(h) = 3h
Hence the function that models the number of cupcakes Lisa makes in h hours is n(h) = 3h
To get the cost function in terms of hours, we will find the composite function C(n(h))
C(n(h)) = C(3h)
Given C(n) = 60 + 0.45n
C(3h) is derived by substituting n as 3h in the function as shown;
C(3h) = 60+0.45(3h)
C(3h) = 60+1.35h
Hence the cost function in terms of hours, h, is given by 60+1.35h
To get the cost for making cupcakes for 2 hours, we will substitute h = 2 into the expression C(h) = 60+1.35h
C(2) = 60+1.35(2)
C(2) = 60+2.70
C(2) = 62.70
Hence the cost for making cupcakes for 2 hours is $62.70
Answer:
The function that models the number of cupcakes Lisa makes in h hours is n(h) = 36h. The cost function in terms of hours, h, is given by 60 + 16.2h. Lisa's cost for making cupcakes for 2 hours is $92.40
.
Step-by-step explanation:
What is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?
Answer:
y = x + 6
Step-by-step explanation:
A line that is perpindicular to y = -x + 20 would be y = x. Now, we have to solve for the y-intercept. Knowing the line must cross through (-4,2) we can solve for the y-intercept using the equation y = x which is just up one over one. Going over 4 units to get to x = 0 means going up 4 units to get to y = 6. Now we know the y-intercept is 6. This means the final equation is y = x +6.
ryan deposited 4,000$ into his savings account at the interest rate of 4%for 5 years ate the end of the 5 years how much money would be in ryan's account worksheet
Answer:
$4,800
Step-by-step explanation:
you take $4000 and multiply by .04 to get interest for one year. Then multiply by 5 for the years and that is $800. and $800 + $4000 - $4800.
7.
If 3 tickets to a certain show cost $13.20, what would 7 tickets cost?
What is this answer?
Answer:
$ 30.8Step-by-step explanation:
ratio and proportion:
3 tickets = 7 tickets
$13.20 x
then cross multiply: 3 (x) = 13.20 (7)
simplify: 3x = 92.4
solve for x = 92.4 / 3
x = $ 30.8
therefore,
7 tickets costs $ 30.8