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AveGali [126]
3 years ago
13

The inequality 4x + 260 < 400 represents the cost to repair Tom’s car. The cost of parts is $260 and it will take 4 hours of

work. If x represents the labor cost per hour and Tom needs to keep the total under $400, what is the highest labor cost per hour that he can afford?
Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer: The highest labor cost per hour that he can afford is $34

Step-by-step explanation:

Hi, to answer this question we simply have to solve the inequality:

4x + 260 < 400

4x < 400-260

4x < 140

x < 140/4

x < 35

Since x represents the labor cost per hour , The highest labor cost per hour that he can afford is $34  (using whole numbers, because x must be less than 35, not less or equal)

Feel free to ask for more if needed or if you did not understand something.

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What is the area of the parallelogram?<br> 48 sqrt3 cm^2<br> 48 cm^2<br> 24 sqrt3 cm^2<br> 24 cm^2
Salsk061 [2.6K]
The area of a parallelogram is base times height. 

We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse

sin(60°) = opp/hyp = x/6
√3/2 = x/6     Multiply both sides by 6
3√3 = x
x = 3√3

The height is 3 √3

Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²

Answer is C) 24 √3 cm²

3 0
3 years ago
If you are buying at item at a store for a price of $72, and there is a 6.2% tax added on top, what would be the total amount du
FrozenT [24]

Answer:

Sale Tax($): 4.5

Step-by-step explanation:

Before Tax Price ($):  72

Tax Rate (%): 6.2

Final Price Including Tax ($):  76.46

Sale Tax($): 4.46

5 0
3 years ago
Read 2 more answers
The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (3,-7) . Write the equation of the circle in
Deffense [45]

Step-by-step explanation:

The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.

The formula needed to find the minpoints is

(x,y) = (x2 + x1)/2, (y2 + y1)/2

x2 = 3

x1 = 3

y2 = 0

y1 = -7

midpoint = (3 + 3)/2, (0 - 7)/2

midp[oint = 3,-3.5

The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)

So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2

To determine r^2 you need only take the distance from the center to oneof the endpoints.

r^2 = (3 - 3)^2 + (3.5 - 0)^2

r^2 = 3.5^2

r^2 = 12.25

Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25

6 0
3 years ago
Log (3x+1) - Log (2x+5)= 1​
sleet_krkn [62]

Answer:

\huge \red { \boxed{x =  -  \frac{49}{17}}}

Step-by-step explanation:

log(3x + 1) - log(2x + 5) = 1 \\  \\ log  \: \frac{3x + 1}{2x + 5}  = log \: 10..( \because \: log \: 10 = 1) \\  \\  \frac{3x + 1}{2x + 5}  = 10 \\ \\  3x + 1 = 20x + 50 \\ 3x - 20x = 50 - 1 \\  \\  - 17x = 49 \\  \\ x =  \frac{49}{ - 17}  \\  \\  \huge \purple{ \boxed{x =  -  \frac{49}{17}}}  \\

6 0
3 years ago
The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 60. Find x.
lbvjy [14]

Answer:

Perimeter of a triangle = add all sides

Both the legs of the isosceles triangle are always EQUAL.

x+4x-6+4x-6 = 60

9x-12 = 60

9x = 60+12

9x = 72

x = 8

3 0
2 years ago
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