1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
3 years ago
9

A repair bill for you car is $553 the parts cost $265 the labor cost is $48 per hour. Write and solve an equation to find the nu

mber of hours of labor spent requiring the car
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0
48x+265=553 where x is the number of hours of labor spend requiring the car.

48x=288 (subtract 265 from both sides)

x=6 (divide both sides by 48)

6 hours of labor
You might be interested in
At a yearly basketball tournament, 64 different teams compete. After each round of the tournament, one-fourth of the teams remai
artcher [175]

Answer:

64*(1/4)^x

Step-by-step explanation:

64 is the starting number because it is given, and x represents how many rounds there are. 1/4 represents how much of the teams remain after each round.

5 0
3 years ago
If cos(x)=1/4 what is sin(x) and tan(x)
anygoal [31]
You can use the identity
  cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.

  (1/4)² +sin(x)² = 1
  sin(x)² = 1 - 1/16
  sin(x) = ±(√15)/4


Then the tangent can be computed as the ratio of sine to cosine.
  tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
  tan(x) = ±√15


There are two possible answers.
In the first quadrant:
  sin(x) = (√15)/4
  tan(x) = √15

In the fourth quadrant:
  sin(x) = -(√15)/4
  tan(x) = -√15
3 0
3 years ago
GI = 6, HI = 8, DT = 12, what is IE?​<br>a.12<br>b.16<br>c.8<br>d.4
harina [27]

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = \frac{48}{12}

EI = 4

Therefore, Option D is the correct option.

5 0
3 years ago
Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0
2 years ago
The verbal expression of 4(2x-7)=39
Free_Kalibri [48]

Answer:

x=8.375

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What's the correct answer and why?
    12·1 answer
  • Jazmine is painting picture frames. She uses 1 tube of red paint and 2 tubes of yellow paint for every 5 frames. How many tubes
    14·1 answer
  • How can you use addition and subtract to put together and separate measures of an angle and its parts
    14·1 answer
  • 3a + b/a + 4a<br> if a= 4 and b= -12
    11·1 answer
  • Find the value of this expression if x = -9.<br> x2 + 3<br> x +6
    6·1 answer
  • Polynomials math question
    11·2 answers
  • How do you isolate the variable in an inequality?
    15·2 answers
  • Mary spent a total of $354.30 for a party. She spent $200.90 on food, plus an additional $30.68 for each hour of the party. How
    6·1 answer
  • Find an equation for the line that passes through the points (-6, -6) and (4,-2)
    6·1 answer
  • Willy is an avid fisherman of the world. As he travels, he goes fishing 2 times on every mainland Country he visits and goes fis
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!