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Delvig [45]
3 years ago
14

One-third of the students in Mrs. Hayko's class walk to school. Of the students who do not walk to school, four-fifths take the

bus.
What fraction of the students in Mrs. Hayko's class take the bus to school?

How many students might be there in her class.
Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0

1/3  of the students walks

1 -1/3 = 2/3   so 2/3 of the students do not walk

of the student who do not walk 4/5 take the bus

2/3 * 4/5 = 8/15  

8/15 of her students take the bus

There must be at least 15 student

We only want whole numbers of students, so they must be in multiples of 15

15,30,45,60 etc

Mrs H has either 15 or 30 students.  Higher multiples would be too many students in the class

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I need to solve cy−7=5d+3y for y, any help?
iVinArrow [24]
Given cy - 7 = 5d + 3y, we solve for y as follows:

cy - 3y = 5d + 7

y(c - 3) = 5d + 7

y = (5d + 7) / (c - 3)
8 0
3 years ago
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Write your answer as a fraction or as a whole or mixed number.<br> 27pts
statuscvo [17]

<u>What we know</u>:

  • Bird feeder capacity:             -->  2 4/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<em>Lets first convert the mixed partial fraction --> improper fraction</em>

<em>        --> for easier calculation</em>

<em />

<u>After Conversion:</u>

  • Bird feeder capacity:             -->  14/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

<u>Solve:</u>

  Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>

<u></u>

<u>Answer: 4</u>

<u></u>

Hope that helps!

4 0
2 years ago
Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proport
sergiy2304 [10]

Answer:

y = 25·x shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship

m = 105.25·n shows a proportional relationship

Step-by-step explanation:

An equation that shows a proportional relationship is of the form, y = kx

Where;

k = The constant of proportionality = y/x

Therefore, the equation, y = 25·x shows a proportional relationship

The constant of proportionality = k = y/x = 25

Similarly, the equation m = 105.25·n shows a proportional relationship

The constant of proportionality = k = m/n = 105.25

When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship

The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.

Therefore;

y = 25·x shows a proportional relationship

m = 105.25·n shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship.

6 0
3 years ago
Jose's car can drive 12 miles on each gallon of gas. How many gallons will he need to drive 3,298 miles?✱
masya89 [10]

Answer:

274.84 gallons.

Step-by-step explanation:

Divide 3,298 by 12

3298/12 =274.84

6 0
3 years ago
What is the slope of the line below
Fofino [41]

Answer:

C. \frac{1}{2}

Step-by-step explanation:

You can use the formula to find the slope: \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

(-1.5, 1.5) & (1.5, 0)

\frac{0-(-1.5)}{1.5-(-1.5)} =\\\\\frac{0+1.5}{1.5+1.5} =\\\\\frac{1.5}{3} =\\\\\frac{1}{2}

The slope is \frac{1}{2}

3 0
3 years ago
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