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
kap26 [50]
3 years ago
7

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T

he amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
Mathematics
2 answers:
galina1969 [7]3 years ago
6 0

Answer:

Number of small vehicles washed were 60.

Step-by-step explanation:

Soccer team collected $800 by charging $5 for the small vehicles and $10 for larger vehicles.

Amount collected was modeled by the equation

5x + 10y = 800

Where x = Number of small vehicles

y = Number of larger vehicles

If y = 5 then we have to calculate the number of small vehicles washed.

By putting y = 50 in the equation,

5x + 10(50) = 800

5x + 500 = 800

5x = 800 - 500

5x = 300

x = \frac{300}{5}

x = 60

Therefore, number of small vehicles washed were 60.

Evgen [1.6K]3 years ago
3 0
Plug 50 into y and find x.

5x + 10 (50) = 800
5x + 500 = 800
5x = 800 - 500
5x = 300
x = 300 ÷ 5
x = 60
You might be interested in
Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work
Bingel [31]

Given that we Jenny wants to equivalent fraction of 45% then convert into reduced fraction and then convert into decimal equivalent.

She has already shown her work. We just need to find the error if any.

to convert any percent value we just divide that number by 100 because percent itself means divide by 100.

Hence first step 45%=45/100 is correct.


Then she needed to convert into reduced fraction. To do that she divided numerator and denominator both by 5 and got 9/20.

step 2 is also correct.


Now she needs to convert into decimal equivalent so she divided 9 by 20 and got 4.5 while the correct answer should be 0.45

Hence she did error when converting fraction form into decimal form.

8 0
3 years ago
Read 2 more answers
Determine whether the distribution below represents a probability distribution.
baherus [9]

Answer:

No, not a probability distribution.

Step-by-step explanation:

It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.

8 0
3 years ago
There are 3 white balls, 7 red balls, and 5 green balls in a container. A ball is chosen at random. What is the probability of c
Kisachek [45]

Answer:

(p green) 1/3

(p red) = 1/2

Step-by-step explanation:

Add the number of balls together to get the total.

3 + 7 + 5 = 15

Find the probability of choosing green.

(p green) = 5/15

reduce by 5

(p green) 1/3

Since you kept the green ball, there are now a total of 14 balls.

Find the probability of choosing red.

(p red) = 7/14

reduce by 7

(p red) = 1/2

7 0
2 years ago
Lim x→π/2 1-sinx/cot^2x<br>any genious help please ​
Simora [160]

Rewrite the limand as

(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = (1 - sin(<em>x</em>)) / (cos²(<em>x</em>) / sin²(<em>x</em>))

… = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / cos²(<em>x</em>)

Recall the Pythagorean identity,

sin²(<em>x</em>) + cos²(<em>x</em>) = 1

Then

(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / (1 - sin²(<em>x</em>))

Factorize the denominator; it's a difference of squares, so

1 - sin²(<em>x</em>) = (1 - sin(<em>x</em>)) (1 + sin(<em>x</em>))

Cancel the common factor of 1 - sin(<em>x</em>) in the numerator and denominator:

(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = sin²(<em>x</em>) / (1 + sin(<em>x</em>))

Now the limand is continuous at <em>x</em> = <em>π</em>/2, so

\displaystyle\lim_{x\to\frac\pi2}\frac{1-\sin(x)}{\cot^2(x)}=\lim_{x\to\frac\pi2}\frac{\sin^2(x)}{1+\sin(x)}=\frac{\sin^2\left(\frac\pi2\right)}{1+\sin\left(\frac\pi2\right)}=\boxed{\frac12}

4 0
3 years ago
The bisector of an obtuse angle forms:acute anglesright anglesobtuse anglesstraight angles
Lerok [7]
It forms an acute angle.

The obtuse angle is greater than 90 degrees but less than180 degrees. So if a bisector is introduced, the resulting angle is acute. An acute is less than 90 degrees.
7 0
3 years ago
Other questions:
  • If the scale of a flag from the image to the actual were 1 inch = 63.75 ft, what is the scale factor? What is an equation that c
    13·1 answer
  • Wx+yz=bc , solve for z .
    13·2 answers
  • Susan is searching for a new apartment. Her monthly salary is $1,800, and she wants to spend no more than 35% of her budget on r
    8·1 answer
  • In ms Lacee`s class there are 28 student desks.Each desk measures 26.17 inches long.If you were to line up all the desks end to
    9·1 answer
  • I need to know if I did the tables right.
    11·2 answers
  • What number is greater than 32.46 and less than 32.56 then find the difference of your two numbers
    9·1 answer
  • Ten kids line up for recess. There are five boys and five girls. How many ways are there for the 10 kids to line up so that all
    5·1 answer
  • Help so hard!!! i need help
    5·2 answers
  • Factor by grouping 20p³+15p²+24p+18​
    5·1 answer
  • Troy prepared 10 kilograms of dough after working 2 hours. How many hours did Troy work if
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!