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2 years ago

Felicia drew the pictures at the right to show 3_8is greater than 3_ 4. What was Felicia’s mistake?

1 answer:

8 0

Answer: Felicia made a mistake with this whole statement. $\frac{3}{4}$ is greater than $\frac{3}{8}$ because, when you have 3 out of 4 of something it's much closer to becoming 4 right? But when you have 3 of 8, you're much farther from making it a whole number.

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How are percent diagrams used to solve real-world problems

fgiga [73]

<span>One fourth of the students in Mrs. Singh’s music class chose a guitar as their favorite musical instrument. There are 24 students in Mrs. Singh’s music class. How many students chose a guitar as their favorite musical instrument? There are students in Mrs. Singh’s music class. Divide the number of students equally into 4 sections. Fill in the number in each section students % ---- %--- So, students chose guitar as their favorite musical instrument. </span>

3 0

2 years ago

Read 2 more answers

The quadratic 8x^2+12x-14 has two real roots. What is the sum of the squares of these roots? Express your answer as a common fra

leonid [27]

Answer:

23/4

Step-by-step explanation:

8 0

2 years ago

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The diameter of a circle is 3.2 meters. Which is the circumference of the circle rounded to the nearest hundredth of a meter?

Paraphin [41]

Answer:

10.05 meters

Step-by-step explanation:

If the diameter is 3.2 meters, then the radius is 1.6 meters.

Use the circumference formula, C = 2 $\pi$ r, and solve for C

C = 2 $\pi$ r

C = 2 $\pi$ (1.6)

C = 3.2 $\pi$

C = 10.05

So, to the nearest hundredth of a meter, the circumference is 10.05 meters

4 0

2 years ago

The average speed to go by car from home to college is 30 miles per hour. The average speed to go back home from college is 20 m

Levart [38]

Answer:

24 mph for both 60 miles and 40 miles.

Step-by-step explanation:

We need to find how long it takes to get to college and from it.

Speed x time (x) = Distance (60)

30x = 60

x=2

It takes two hours to get to college

20x = 60

x = 3

It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average

30+30+20+20+20=120

120/5= 24

The average speed for the round trip is 24.

To do the second part, we follow the same process, but replace 60 with 40 for distance.

30x=40

x= 1.33

20x=40

x=2

We can add the total distance and divide by total time to find the average.

The total distance is 80. Time is 3.33

80/3.33=24

The average speed is still 24.

3 0

2 years ago

Find the length of side x in the simplest radical form with a rational denominator.

krok68 [10]

Answer:

$\sqrt{2}$

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

$tan(45)=\frac{x}{\sqrt{2}}$

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by $\sqrt{2}$ . $\sqrt{2}$ multiplied by itself is simply 2. Try it! We also want to multiply the numerator by $\sqrt{2}$ , but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

$tan(45)=\frac{x\sqrt{2} }{2}$

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

$\frac{x\sqrt{2} }{2*2} =x\sqrt{2}$

$tan(45)*2=2$

We can plug 2 in for the x in the numerator now:

$\frac{2\sqrt{2} }{2}$

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of $x=\sqrt{2}$

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0

3 years ago