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3 years ago

(SAT Prep) Find the value of x in each of the following exercises:

Mathematics

1 answer:

ss7ja [257]3 years ago

4 0

Answer:

X=40 degrees

Step-by-step explanation:

Having trouble with RSM?

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Solve the following proportion for y.

LekaFEV [45]

Answer:

y = 110/3 or 36.6 (the 6 is infinite so make a line over it when entering the answer)

7 0

3 years ago

Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys f

In-s [12.5K]

Answer:

$P\text{Student will be from Kenilworth}\approx 0.256$

Step-by-step explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be $8+5+9+5+5+7=39$

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}$

$P\text{Student will be from Kenilworth}=\frac{10}{39}$

$P\text{Student will be from Kenilworth}=0.2564102564$

$P\text{Student will be from Kenilworth}\approx 0.256$

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.

7 0

3 years ago

If 1 inch is 500 miles, then 4 inches is how many miles?

tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

$1 inch=500 miles$

This can be rewritten as:

$\frac{500 miles}{1inch}$

This is representative of a unit rate, as we have a $1$ in the denominator. To calculate the number of miles in $4$ inches, simply multiply the unit rate by $4$ :

$\frac{500 miles}{1inch}*4=$

$\frac{2000 miles}{4 inches}$

This can rewritten as:

$4inches=2000miles$

Therefore, there are 2,000 miles in 4 inches.

We can check our solution by simplifying the fraction $\frac{2000 miles}{4 inches}$ by dividing both $2000$ and $4$ by $4$ to see if we achieve the unit rate:

$\frac{500 miles}{1 inch}$

Since this is in fact the unit rate, our solution is correct!

6 0

2 years ago

Read 2 more answers

What unit would you most likely use to weigh a cat

WITCHER [35]

Pounds that's what I did with my cat

7 0

3 years ago

Read 2 more answers

To mix plaster for a dental model, 35 mL of water is used for 100g of plaster. How many mL of water should be used for 250g of p

laila [671]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following rule of three:

$\begin{gathered} \frac{x}{35mL\text{ of water}}=\frac{250g\text{ of plaster}}{100g\text{ of plaster}} \\ x=\frac{250g\text{ of plaster}}{100g\text{ of plaster}}\cdot35mL\text{ of water} \end{gathered}$

Solving for x:

$\begin{gathered} x=2.5\cdot35mL\text{ of water} \\ x=87.5mL\text{ of water} \end{gathered}$

Finally we obtain that 87.5mL of water should be used for 250g of plaster.

3 0

1 year ago