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
eimsori [14]
4 years ago
5

A girl scout leader rented a bus for a trip to the museum. The bus company charged $275 plus $.35 for each mile traveled over 35

0 miles. If the bus trip cost $429, how many miles was the trip
Mathematics
1 answer:
slava [35]4 years ago
5 0

Answer: The trip was 440 miles

Step-by-step explanation:

A girl scout leader rented a bus for a trip to the museum.

Let x represent the number of miles

traveled over 350 miles.

Let y represent the total cost of travelling x miles

The bus company charged $275 plus $.35 for each mile traveled over 350 miles. This means that for x miles, the cost will be

y = 275 + 0.35x

If the bus trip cost $429, it means that y = 429

To determine the number of miles,we will substitute y = 429 into the equation. It becomes

429 = 275 + 0.35x

0.35x = 429 - 275 = 154

x = 154/0.35 = 440

x = 440 miles

You might be interested in
A soap manufacturer decreases the size of its trial-size bottle of dishwashing soap to
kvasek [131]

Answer:

I do not know

Step-by-step explanation:

1234588999

4 0
2 years ago
What is the factor of x³ 5x² 2x 24?
Delvig [45]

The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

<h3>What is a factor?</h3>

A factor is a number that completely divides another number.

In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.

The numbers that can divide a number exactly are called factors.

There is none left over after division as a result.

The numbers you multiply together to produce another number are called factors.

A factor is hence the division of another number.

So, we have the expression: x³-5x²-2x+24

Now, calculate the factors as follows:

x³-5x²-2x+24

We already know that: P(-2) = 0

Hence, x+2 is a factor.

Now, other factors are: x² - 7x + 12

x² + 4x + 3x + 12

(x - 3)(x - 4)

Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

Know more about the factors here:

brainly.com/question/24351176

#SPJ4

Correct question:
What is the factor of x³-5x²-2x+24?

3 0
1 year ago
In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an
Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

BC^2=AC^2+AB^2

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

10^2=a^2+a^2

100=2a^2

\Rightarrow a^2=50

\Rightarrow a=\pm5\sqrt{2}

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

\frac{1}{2}\cdot BC\cdot AD     (1)

\Rightarrow \frac{1}{2}\cdot 10\cdot AD

And other method of area of triangle is:

\frac{1}{2}\cdot AB\cdot BC       (2)

Equating (1) and (2) we get:

\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a

\Rightarrow AD=\frac{a^2}{10}

\Rightarrow AD=\frac{50}{10}=5

Using area of triangle is: \frac{1}{2}\cdot BC\cdot AD

Now, the area of triangle ABC=\frac{1}{2}\cdot 5\cdot 10

\Rightarrow 25



4 0
3 years ago
If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help
e-lub [12.9K]

Answer:

64

Step-by-step explanation:

he's 64 inches tall

- multiply 12 by 5, which is 60

- then add four, 60 + 4 = 64

4 0
3 years ago
Simplify: −√16x^2 , when x&lt;0
Savatey [412]

Answer:

-4|x|

Step-by-step explanation:

To simplify :

-\sqrt{16x^2} , when x

In order to simplify the given expression we will take the square root of the term inside the root.

The term in the square root are perfect squares (square of an integer), so, we can write them in square of the numbers.

⇒ -\sqrt{(\pm4x)^2}   [As (\pm4x)^2=16x^2]

On taking square root the square gets removed. So, we have,

⇒ -(\pm4x)

⇒ -4|x|

Since x, so the value would be negative.

So, simplified answer is

-4|x|  (Answer)

3 0
4 years ago
Other questions:
  • Select all the toolkit functions below that are discontinuous
    14·1 answer
  • Divide $960 into a ratio of 3:5 using the unitary method.
    6·2 answers
  • If a man earns $30,000 a year, how much is his weekly pay? (Round your
    7·1 answer
  • Seven pieces of cardstock sell for $3. Tanesha spends $57 on cardstock. How many pieces of cardstock does Tanesha buy?
    14·1 answer
  • (Please show your work) (1 kwh = 3400 BTU’s 1 gallon = 8 pounds of water) The water coming into a dishwasher from a water heater
    13·1 answer
  • Can someone find the volume to thisssss
    6·1 answer
  • How many integers satisfy each inequality? -2≤x≤5
    12·1 answer
  • Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor. How many toy cars are multicol
    8·1 answer
  • The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his
    8·1 answer
  • How many 1/2 cubes could fill a 8 1/2 cm , 11 c, 2 3/4 cm box? Please provide an explanation.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!