Carson is a high school student with two part-time jobs.He earns$6 per hour for baby sitting,and he earns $8 per hour doing clerical work for his father's business.His goal is to earn atleast $96 a week ,but because of school, he does not want to work more than 15 hours each week.
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Complete Question
Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. Let b represent the number of hours Carson works in one week at the babysitting job, and let c represent the number of hours Carson works in one week at his father's business. Which inequalities represent the constraints on what Carson can earn and the number of hours he can work in one week? Select all that apply.
A) b+c≤15
B) 6b+8c≤15
C) 6b+8c≥15
D) b+c≥96
E) 6b+8c≥96
F) 6b+8c≤96
Answer:
A) b + c ≤ 15
E) 6b + 8c ≥ 96
Step-by-step explanation:
Let b represent the number of hours he can work babysitting
Let c represent the number of hours he can work clerical work
We can derive 2 inequality equations
From the question, we are told:
He does not want to work more than 15 hours each week because of school
This means the maximum he wants to work is 15 hours, meaning he can work less than that. So we used the inequality less than or equal to Hence:
b + c ≤ 15...... Equation 1
He earns$6 per hour for baby sitting,and he earns $8 per hour doing clerical work for his father's business.His goal is to earn atleast $96 a week.
This means $96 is the least amount he wants to earn , meaning he can earn more than that. So we used the inequality greater than or equal to
Hence:
$6 × b +$8 × c ≥ $96
6b + 8c ≥ 96
Therefore, the two inequalities that represent the constraints on what Carson can earn and the number of hours he can work in one week:
A) b + c ≤ 15
E) 6b + 8c ≥ 96
how do u write 8c +10 as a equivalent product
Answer:
2(4c+5)
Step-by-step explanation:
Simplify
[tex] \sqrt{5} [/tex]
(6-4
[tex] \sqrt{?} [/tex]
3).
Answer:
√5 (6-4√3)
6√5 -4√3 ×√5
6√5 -4√15
Challenge The price of Stock A at 9 am was $14.11. Since then the price has been increasing at
the rate of $0.08 each hour. At noon the price of Stock B was $14.86. It begins to decrease at the
rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the bao
stocks be the same?
In about
it would be 6 be cause 14 -8 is 6
[tex]3^{4[/tex] pls awnser
Answer:
the answer is 81
I know cause I'm smart U. U
Find the square of the number -1/4
Answer:
0.5 = the square root of 1/4
Step-by-step explanation:
√1/4 = 0.5
But, I don't know if
it would be positive or negative for you since you asked for -1/4.
Answer:
-1
Step-by-step explanation:
because 1/4 is just a whole number just put a negative single
Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done
Answer:
the answer is 3 !
Answer:
the is answer is 3.
Step-by-step explanation:
i hope this helps :).
one third of a number increased by 7
FIRST TO ANSWER GETS BRAINLIEST & POINTS
Answer:
the answer is 3.6
can you also please mark me as brainliest?
thanks
8x + 7 = -25
What is the solution for this equation?
8x + 7 = -25
=> 8x = -25 - 7 = -32
=> x = -32/8 = -4
Answer:
-4=x
Step-by-step explanation:
8x+7(-7)=-25(-7)
8x(/8)=-32(/8)
-4=x
Posting more questions so please go to my page if you know this thank you
Answer:
I'm thinking the answer is 76 but I could be wrong
Step-by-step explanation:
Write the equation of the line in slope-intercept form. m = -4 and b=7
Answer:
y=-4x+7
Step-by-step explanation:
Slope- intercept form is y=mx+b, insert the parts of the equation for the variables that are known.
Plzzzzz help will Mark BRAINLYLIST!!!!!
Answer:
104 units
Step-by-step explanation:
One key thing to note about a reflection is that side lengths and angle measures will always remain the same on the reflected figure. With that in mind, let's note the side lengths in both the original and reflected figures.
[tex]AB=\\BC=20\\CD=30\\AD=[/tex]
[tex]A'B'=22\\B'C'=\\C'D'=\\A'D'=32[/tex]
Remember, since side lengths are the same, let's fill in the missing values with the values of the side lengths given in each of the figures:
[tex]AB=22\\BC=20\\CD=30\\AD=32[/tex]
[tex]A'B'=22\\B'C'=20\\C'D'=30\\A'D'=32[/tex]
See? Notice how the values are the same! To find the perimeter ([tex]P[/tex]) of a quadrilateral, we have to add each side length:
[tex]P=22+20+30+32[/tex]
Solve:
[tex]P=104[/tex]
Cody started a fire in a field. The fire was expanding outward in all directions forming a larger and larger circle. The radius of the circular fire was 10 feet and was increasing at 2 feet/minute when Cody called the fire department. How many minutes will it take from the time Cody called the fire department until the area of the circular fire is 45401 square feet? Type your answer to the nearest hundredth (2 decimal places).
Answer:
55.10minStep-by-step explanation:
This problem is on the mensuration of flat shapes.
given that the initial radius before Cody alerted the fire department is
10 ft
Then we can calculate the area of the fire as
Area= πr^2
Area=3.142*(10)^2
Area=3.142*100
Area=314.2ft^2
Also, given that the area of the circular fire has grown to 45401 square feet
let us solve for the radius first, then we can calculate the time taken since the radius was increasing by 2 ft/min
let the radius of the large fire be R
45401=πR^2
R^2=45401/3.142
R^2=14449.714
square both sides we have
R=√14449.714
R=120.2ft
The difference between the radius of the initial fire and the large fire is
R-r=120.2-10
=110.2ft
Hence the time taken can be calculated as
time= 110.2/2
time=55.10min
Which is rational and irrational?
Answer:
2 is irrational
3/4 is rational
pi is irrational
last on is irrational
Step-by-step explanation:
Plz help me with this
Answer:
2/3 or Two Thirds
Step-by-step explanation:
Answer:
6 over 9 is the simplest term
Step-by-step explanation: 4+2over9 = 6 over 9
Rebecca bought 1 pound of chocolate from the chocolate shop last week for $4. The next week the cost of the same 1 pound of chocolate increased to $6. What was the percent increase in the cost of a pound of chocolate?
Answer:
150%
Step-by-step explanation:
4 * 1.5 = 6.
Some one can help me please.
Answer:
x = -7
x = -2
x = 3
Step-by-step explanation:
The mayor of a town places a map of the town on a coordinate grid with Town Hall at the point (0,0) and with each unit representing a mile. Smithville is at the point (-25,10) and Jones City is at (15,12). It costs $0.18 a mile to drive a car. How much does it cost to drive from Smithville and Jones City?
Answer:
Given that the question rightly asks the amount it cost to drive from Smithville to Jones City, we have;
The question rightly asks the amount it cost to drive from Smithville to Jones City is approximately $7.209
Step-by-step explanation:
The coordinates of Smithville is (-25, 10)
The coordinates of Jones City is (15, 12)
The cost of driving a car for a mile = $0.18
Therefore, the distance from Smithville to Jones City is given by the formula for the distance, l, between two points with coordinates as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
(x₁, y₁) = (-25, 10) and (x₂, y₂) = (15, 12)
[tex]l = \sqrt{\left (12-10 \right )^{2}+\left (15-(-25) \right )^{2}} = 2 \cdot \sqrt{401}[/tex]
The distance from Smithville to Jones City = 2·√401 ≈ 40.05 miles
The amount, A, it cost to drive from Smithville to Jones City a distance of approximately 40.05 miles is therefore given as follows;
A = 40.05 miles × $0.18 ≈ $7.209
In two or more complete sentences, describe how to find the interval(s) where the function is decreasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is decreasing.
Answer:
The function is increasing when the slope is greater than zero and decreasing when the slope is less than zero. Slope is (y2-y1)/(x2-x1) or the change in y divided by the change in x.
In this case the function is decreasing when x=[-8,-5) and when x=[4,8)
So in interval notation: x=[-8,-5)U[4,8)
Step-by-step explanation:
BRAINLIEST PLEASE
A scale drawing of a conference room has a length of 5 inches and a width of 0.5 inches. if the scale is 0.5 inches = 8 feet what is the actual length of the room.
Answer:
50feet
Step-by-step explanation:
0.5=5feet
5
5f×5/0.5=50 Feet
Finn is allowed to watch TV for 30 minutes every day. Sloane is allowed to watch 4 times as much TV a day. How much TV can Sloane watch per day?
Joe's equation: 30 cross times 4 equals s
Answer:
hscuhfeehfjhjhfj
Step-by-step explanation:
ehfjehfjefhjefh
Answer:
120
Step-by-step explanation:
what number should we divide to simplify 12/14
Answer:
[tex]\frac{6}{7}[/tex] divide by 2
Step-by-step explanation:
gcf of 12 and 14
and that is 2
so [tex]\frac{6}{7}[/tex]
<3
Red
Number equivalent to 12/14 is 6/7 .
Given,
12 divided 14
Using division property,
The rules for division are:
(1) positive × or ÷ positive = positive
(2) positive × or ÷ negative = negative
(3) negative × or ÷ negative = positive
Rule for long division method,
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
Therefore,
divide, multiply, subtract, bring down and repeat or find the remainder.
Here the required value is of :
20/3
= 12/14
Divide numerator and denominator by 2
= 6/7
Hence the answer is 6/7 .
Know more about division,
brainly.com/question/10703980
#SPJ6
8. (-4,-1) and (-2,-5) *
Answer:
I got -12
Step-by-step explanation:
Solve the equation.
8m + 2 + 4m
2 (6m + 1)
0=0 many solution
Answer:
8m+2+4m=14m2
12m+2m=14m2
14m2=14m2
0=0 prove
Answer:
[tex]\sf 8m+2+4m[/tex]
[tex]\sf 8m+4m+2[/tex]
[tex]\sf 12m+2[/tex]
_________________
[tex]\sf 2 (6m + 1)[/tex]
[tex]\sf 2\times \:6m+2\times \:1[/tex]
[tex]\sf 12m+2[/tex]
joel and todd are at a pool. Joel dives in and touches the bottom of the pool, 12 feet below the surface of the water. Todd is standing on a diving platform 3 feet above the surface, waiting for his turn. What is the vertical distance between joel's hand and todd's feet?
Answer:
15 feet
Step-by-step explanation:
A typical diagram has been shown.
Joel's hand touches the bottom of the pool, point A as shown, 12 feet below the surface of the water.
Todd's foot is at the diving platform, at point B as shown, 3 feet above the surface of the water.
Let S be the point on the surface of the water.
So, the vertical distance between Joel's hand and todd's feet
=AS+SB
=12+3
=15 feet.
1/4 / 2=? What’s the answer?
Answer:
1/8
Step-by-step explanation:
divide 4 by 2 and keep the 1
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes.
Part A
How would you represent Andy’s descent as a unit rate? Express your answer as an integer.
Enter your answer in the box.
feet per minute
Answer:
rate = 10 feet / 2.5 minutes
rate = 4 feet / minute
hope dat helps UwU
and welcome to brainly!!!
A copy machine makes 24 copies per minute. How many copies does it make in 3 minutes and 15 seconds?
Answer: the first answer is 72
Step-by-step explanations
24x3=72
Which point is a solution to the inequality?
(-2, 1)
(-1, 1)
(0.2)
(3, 1)
Answer:
3,1/2
Step-by-step explanation:
Answer:
D
Step-by-step explanation: