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
astraxan [27]
3 years ago
13

Two cars leave towns 600 kilometers apart at the same time and travel toard each other. One car's rate is 18 kilometers per hour

more than the other's. If they meet in 3 hours, what is the rate of the slowest carw?
Mathematics
1 answer:
Brut [27]3 years ago
7 0

Answer:

Rate = 91 km/hr

Step-by-step explanation:

In this question, Rate = Speed

Speed (s) = Distance (d) / time (t)

Distance = 600 km

Time = 3 hrs for both cars

Speed for car A = x

Speed for car B = (18+x)

Distance traveled for car A = x* 3

Distance traveled for car B = (18+x)* 3

Remember that the total distance traveled = 600 km

3x + 3*(18+x) = 600

3x + 54 + 3x = 600

6x = 600 - 54 = 546

x = 546/6 = 91

Speed of the slower car is 91 km/hr.

You might be interested in
Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
3 0
3 years ago
PLEASE HELP ASAP !!
wariber [46]

Answer:

     <u>First figure:</u>            954cm^3

     <u>Second figure:</u>      1,508yd^3

     <u>Third figure:</u>

  •          Height= q
  •           Side length = r

     <u>Fourth figure: </u>        726cm^3

Explanation:

<u></u>

<u>A. First figure:</u>

<u>1. Formula:</u>

            \text{Volume of a cylinder}=\pi \times radius^2\times length

<u>2. Data:</u>

  • radius = 9cm / 2 = 4.5cm
  • length = 15 cm

<u>3. Substitute in the formula and compute:</u>

          Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3

<u>B. Second figure</u>

<u>1. Formula: </u>

       \text{Volume of a leaned cylinder}=\pi \times radius^2\times height

<u>2. Data:</u>

  • radius = 12yd
  • height = 40 yd

<u>3. Substitute and compute:</u>

      Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3

<u></u>

<u>C) Third figure</u>

a) The<em> height </em>is the segment that goes vertically upward from the center of the <em>base</em> to the apex of the pyramid, i.e.<u>  </u><u>q  </u>.

The apex is the point where the three leaned edges intersect each other.

b) The side length is the measure of the edge of the base, i.e.<u>  r </u><u> </u>.

When the base of the pyramid is a square the four edges of the base have the same side length.

<u>D) Fourth figure</u>

<u>1. Formula</u>

The volume of a square pyramide is one third the product of the area of the base (B) and the height H).

          Volume=(1/3)B\times H

<u>2. Data: </u>

  • height: H = 18cm
  • side length of the base: 11 cm

<u>3. Calculations</u>

a) <u>Calculate the area of the base</u>.

The base is a square of side length equal to 11 cm:

          \text{Area of the base}=B=(11cm)^2=121cm^2

b) <u>Volume of the pyramid</u>:

         Volume=(1/3)B\times H=(1/3)\times 121cm^2\times 18cm=726cm^3

4 0
3 years ago
Read 2 more answers
suppose 48 out of every 120 people like baseball. of the people who like baseball 3 out of 5 play base ball if you ask 500 peopl
IceJOKER [234]

Answer:

120 people would play

Step-by-step explanation:

4 0
2 years ago
Hii! Please helpppp!! This was due like 3 days ago lol
Aleksandr-060686 [28]

Fergus has 3 1/4 cups of oats

= 13/4 cups of oats

Oatmeal bars = 2 2/3

= 8/3 cups of oatmeal used

Therefore cups of oats left = 13/4 - 8/3

= 39/12 - 32/12

= 7/12 cups of oats left

She borrowed 1 cup of oats from neighbour

7/12 + 1/1

= 7/12 + 12/12

= 19/12 cups of oats

Blueberry oats muffin = 1 3/4 cups of oats

= 7/4 cups of oats

Total she will have now = 19/12-7/4

= 19/12 - 21/12

= - 2/12

= -1/6

Which means she needs 1/6 cup of oats more

Therefore its option 4

Must click thanks and mark brainliest

4 0
3 years ago
Read 2 more answers
True or false 398+9 = 400+8
defon

Answer: False

Step-by-step explanation:

398 + 9 = 407

400 + 8 = 408

If the equation was 398 + 10 then yes it will be equal to 400 + 8

4 0
3 years ago
Other questions:
  • A volcanic cone has a diameter of 300 meters and a height of 150 meters. What is the volume of the cone?
    12·1 answer
  • ASAP ANYONE PLEASE tell me if I’m right !
    11·2 answers
  • The price of a gallon of milk at a particular convenience store has been recorded over the course of 10 weeks. At the end of the
    7·1 answer
  • A researcher tests a new toothpaste on a small sample of five volunteers.
    10·1 answer
  • Simplify the rational expression. State any excluded values.. . x-2/x^2+3x-10. . A. x^2. . B. x+5, where x is not equal to -5 .
    8·1 answer
  • The recipe calls for 1⁄4 cup of sugar. If you make a batch of cookies that is 3⁄4 the amount made in the recipe, how much sugar
    10·1 answer
  • WILL GIVE BRAINLIEST!!
    14·1 answer
  • With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health i
    15·1 answer
  • 3(4x+1)=15? X=<br> What is the solution?
    11·1 answer
  • Which one is this answer for this can someone help me pzl
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!