answer.
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
Tom [10]
2 years ago
9

Car A starts in Sacramento at 11am. It travels along a 400 mile route to Los Angeles at 40 mph. Car B starts from Los Angeles at

noon and travels to Sacramento along the same route at 75 mph. The route goes past Fresno which is 150 miles along the route from Los Angeles. How far from Fresno are the cars when they meet?
Mathematics
1 answer:
Naya [18.7K]2 years ago
8 0

Answer:

Distance from Fresno where both cars meet = 210 - 150 = 60 miles

Step-by-step explanation:

let x = distance travelled by A from Sacramento

y = distance travelled by B from Los Angeles

t = time after 12 noon that they meet

x = 50(t + 1)

y = 400 - x = 75(t) or x = 400 - 75t

so: 50(t + 1) = 400 - 75t

     50t + 50 = 400 - 75t

     50t + 75t = 400 - 50

                 t = 2,8 hrs

so y = 400 - 75(2.8) = 210 miles from Los Angeles  

distance from Fresno where both cars meet = 210 - 150 = 60 miles

You might be interested in
8,000 is blank as 800
Alecsey [184]

8,000 is 10 times as much as 800

3 0
2 years ago
Read 2 more answers
Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
photoshop1234 [79]

Y- intercept is a point where any graph crosses the y- axis.

X- intercept is a point where any graph crosses the x- axis.

This means the coordinate of the point of intersection will always have the x point as 0. So any point of the form ( 0, y) is the y- intercept. Any point of the form (x,0) is the x- intercept.

Given point are :

(0,-6) : y intercept

(-2,0) : x intercept

(-6,0): x- intercept

(0,-2): y- intercept

3 0
1 year ago
Read 2 more answers
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
1 year ago
Read 2 more answers
Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10dollar sign, 2, point, 10 per mile, and she gave the driver
Studentka2010 [4]

Answer:

2.10x+5=49.10

Distance = 21 miles.  

Step-by-step explanation:

Let x be the distance in miles between the airport and Ann's home.

We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.

We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

2.10x+5=49.10

Now let us solve our equation.

2.10x=49.10-5

2.10x=44.10

x=\frac{44.10}{2.10}=21

Therefore, the equation 2.10x+5=49.10 represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.


3 0
2 years ago
Read 2 more answers
The basketball team sell t-shirts and hats as a fundraiser. they sold a total of 23 items and made a profit of $246. they made a
hjlf
S - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h = 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.

7 0
2 years ago
Other questions:
  • The vertex of this parabola is at (-2, -3). When the y-value is -2, the x-value is -5. Determine the coefficient of the squared
    7·1 answer
  • A survey of one class at Pioneer Middle School found that 20 out of 30 students would spend $12 for a school t-shirt Suppose the
    12·2 answers
  • Make b the subject of the formula: <br><br> S=ab-bc
    14·2 answers
  • Explain why there is 1/3 cup of fruit i. Half a smoothie
    9·1 answer
  • A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent
    13·2 answers
  • What is 1.7million add 345000
    7·2 answers
  • g A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Q
    9·1 answer
  • A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is
    13·1 answer
  • Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis? On a coordinate plan
    5·2 answers
  • Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!