To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?
Answers
Answer:
Hey there! The answer you selected is correct!
Step-by-step explanation:
$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!
The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;
d + c ≤ 15.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now it is given that,
Money from walking neighbor's dog = $6 per hour
Money from car wash = $7.5 per hour
Total Number of hours of work not more than 15 hours
Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars
So, money from walking neighbor's dog = 6c
and money from car wash = 7.5d
Therefore total money saved = 6c + 7.5d
∵ Total Number of hours of work is not more than 15 hours
⇒ d + c ≤ 15
∵ Tom needs to make at least $75 to cover prom expenses
⇒ 6c + 7.5d ≥ 75
The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;
d + c ≤ 15.
To learn more about inequality :
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Related Questions
1
What is the measure of angle x?
64°
X
45
109
64
180
71
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Answer:
A
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 64° + 45° = 109° → A
Answer:
A
Step-by-step explanation:
64+45=109
180-109=71
180-71=109 *
*This step is only if you want to check your work!
What is the value of -2/5 divided by 6/8 PLEASE HELPPP
Answers
Answer:
The steps to do :
[tex] - \frac{2}{5} \div \frac{6}{8} [/tex]
[tex] = - \frac{2}{5} \times \frac{8}{6} [/tex]
[tex] = - \frac{1}{5} \times \frac{8}{3} [/tex]
[tex] = - \frac{1 \times 8}{5 \times 3} [/tex]
[tex] = - \frac{8}{15} [/tex]
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Answers
. 。 • ﾟ 。 .
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. 。 ඞ 。 . • •
ﾟ Red was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
can red have brainliest?
Can someone pleasee help I’ll mark brainlist!!!
Answers
Answer:4/C
Step-by-step explanation:
Answer:
2.4
It is the 1st one
Step-by-step explanation:
There are 60 min in 1 hour so divide 60/20min = 3
Then multiply 4/5*3 = 2.4
HOpe this helps
Karen cut away 49 centimeters of rope. Before that, she had 807.49 centimeters of rope. How much rope does Karen have left?
Answers
Answer:
758.49 cm
Step-by-step explanation:
1. Subtract
8 0 7 . 4 9
4 9 . 0 0
7 5 8 . 4 9
HELP IMMEDIATELY PLEASE, WILL GIVE BRAINLIEST!!!
Answers
Answer:
The slope is -1/3 I think.
Answer:
slope = 1/3
Step-by-step explanation:
We can look at the points where the graph exactly intersects a point. Those points are: (10, 50), (40, 60), and (70, 70). The slope is the difference of y divided by the difference of x. You can subtract any two points. Your final answer would be (70-60)/(70-40) = 10/30 = 1/3
Is Mabel correct?
A. Mabel is correct.
B. No, she made a mistake in step 2
C. No, she made a mistake in step 3
D. No, she made a mistake in step 4
Answers
(
4
x
−
3
)
(
(
x
−
2
)
2
)
=
4
x
3
−
19
x
2
+
4
x
−
12
4
x
3
−
19
x
2
+
28
x
−
12
=
4
x
3
−
19
x
2
+
4
x
−
12
Step 1: Subtract 4x^3 from both sides.
4
x
3
−
19
x
2
+
28
x
−
12
−
4
x
3
=
4
x
3
−
19
x
2
+
4
x
−
12
−
4
x
3
−
19
x
2
+
28
x
−
12
=
−
19
x
2
+
4
x
12
Step 2: Add 19x^2 to both sides.
−
19
x
2
+
28
x
−
12
+
19
x
2
=
−
19
x
2
+
4
x
−
12
+
19
x
2
28
x
−
12
=
4
x
−
12
Step 3: Subtract 4x from both sides.
28
x
−
12
−
4
x
=
4
x
−
12
−
4
x
24
x
−
12
=
−
12
Step 4: Add 12 to both sides.
24
x
−
12
+
12
=
−
12
+
12
24
x
=
0
Step 5: Divide both sides by 24.
24
x
24
=
0
24
x
=
0
Answer:
x
=
0
Answer:
D. No, she made a mistake in step 4
Step-by-step explanation:
Are tools ‘required’ to make accurate and precise measurements?
Answers
Triangle FGH is graphed on the coordinate plane below.
On a coordinate plane, triangle F G H has points (negative 6, negative 8), (negative 2, negative 3), (negative 4, negative 2).
The figure is rotated 180° using the origin as the center of rotation. How do the coordinates of the vertices of the preimage compare to the coordinates of the vertices of the image?
(x, y) right-arrow (y, x)
(x, y) right-arrow (negative y, negative x)
(x, y) right-arrow (negative x, negative y)
(x, y) right-arrow (x, negative y)
Answers
Answer:
(x, y) right-arrow (negative x, negative y) ⇒ (x, y) → (-x, -y)
Step-by-step explanation:
Let us revise the rotation about the origin
If point (x, y) rotated about the origin by angle 90° counterclockwise (or 270° clockwise), then its image is (-y, x) . The rule is (x, y) → (-y, x)If point (x, y) rotated about the origin by angle 180° counterclockwise ( or 180° clockwise), then its image is (-x, -y) . The rule is (x, y) → (-x, -y)If point (x, y) rotated about the origin by angle 270° counterclockwise (90° clockwise), then its image is (y, -x) . The rule is (x, y) → (y, -x)Let us solve the question
∵ The vertices of triangle FGH are (-6, -8), (-2, -3), (-4, -2)
∵ The figure is rotated 180° using the origin as the center of rotation
→ By using the 2nd rule above
∴ The vertices of its image are (6, 8), (2, 3), (4, 2)
∴ The rule is (x, y) → (-x, -y)
The coordinates of the vertices of the preimage compare to the coordinates of the vertices of the image do (x, y) right-arrow (negative x, negative y) ⇒ (x, y) → (-x, -y)
Answer:
B. they over explaining
Step-by-step explanation:
Choose the correct equation to solve the problem: Five friends equally split a restaurant bill that comes to $32.50. How much does each person pay?
x/5 = 32.50
5x = 32.50
x + 5 = 32.50
x - 5 = 32.50
Answers
Find the reciprocal of the following rational number
Answers
Answer:
where are the numbers
Step-by-step explanation:
Need help pls I dot understand
Answers
Janet bought g number of packs of gum. Each pack of gum costs $0.79. Write an expression that shows how much change she will get back from paying with a $20 bill.
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B. 20 - 0.079g
C. 20 + 0.79g
D. 20 - 79g
Answers
What is 24.9% to a fraction in simplest form?
Answers
Answer:
The answer is 249/1000
Step-by-step explanation:
solve for x. 3x+2=38
Answers
3x=36
then divide by 3 to get an answer of
x=12
The value of x by solving for x from 3x +2 = 38 is; 12.
According to the question;
We are required to solve for x from 3x+2=383x+2 = 383x = 38 - 23x = 36x = 12The value of x from the equation is; x = 12
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320
Step-by-step explanation:
2(-7)²-8(-7)(4)-√4=
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Sonya works on a cruise ship and sleeps in a cabin that is 6 feet below sea level. The main deck is 35 feet above Sonya's cabin. How far above sea level is the main deck? add unit of measure!*
Answers
Answer: 29 ft above sea level
Step-by-step explanation:
if she is 6 feet under that could be considered -6, the main deck is above sea level so +35, so it would be 35-6=29 ft
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Answers
4>m
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The water level dropped three feet every week for five weeks. By how much did the water level change? PLEASE HELP
Answers
Answer:
It changed by -15 FT
Explanation:
3 x 5 + 15
máximo comun divisor de 20 12 36
Answers
Answer:
El procedimiento para hallar el MCD de 12, 20, 36:Descomponer los números en su factores primos
12 2 6 2 3 3 1
20 2 10 2 5 5 1
36 2 18 2 9 3 3 31
Factores primos de 12 = 22 . 3
Factores primos de 20 = 22 . 5
Factores primos de 36 = 22.32
MCD = 21 = 2
Step-by-step explanation:
{(2,-1),(-2,4),(2,5),(3,6)}
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Answers
Answer:
Domain(x): -2,2,3
Range(y): -1,4,5,6
(I put them in order numerically)
Step-by-step explanation:
The Domain is all the x values of the points given. It's always the first number of a point.
The range is the y values, it's always the second number given in a ordered pair!
Hope this helps! :)
Written as a simplified polynomial in standard form, what is the result when
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Answers
Answer:
Yes, will be
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Because the 4x it doesn't t affect the 6x and the 6x is
[tex]6 \times x[/tex]
So the result will be 4x
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-9x^2 + 16x - 4
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
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The answer would be D
Step-by-step explanation:
2.10 would be a little after 2.
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Answer:
the answer is
Step-by-step explanation:
D
Express the fraction 11/30 in decmail form
Answers
Answer:
.36666667
Step-by-step explanation:
hope this helped
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Answers
Answer:
figure is missing mate
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Answers
Answer:
The cube of twice a number.
Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.
Step-by-step explanation:
have a nice day, please give me brainliest
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Answers
Answer:C
Step-by-step explanation:
The angles must equal 180 degrees.
Answer:
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