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3 years ago

How do u convert a fraction into a decimal

1 answer:

3 0

You have to divide the numerator (top number) by the denominator (bottom number). For example, 1/2 is 0.5
However, some end up as never-ending decimals, like 1/3, which converts to 0.333 repeating.

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charles is 22 years older than his sister danielle. in 10 years he will be twice as old as danielle. how old is each of them now

andriy [413]

9514 1404 393

Answer:

Charles: 34
Danielle: 12

Step-by-step explanation:

If Charles is 22 years older, he will be double Danielle's age when she is 22. If that is 10 years from now, Danielle is 12 and Charles is 34.

3 0

2 years ago

Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc

Vadim26 [7]

Answer: r = 1.69 inches

h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

$V=\frac{1}{3}\pi r^{2}h$

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

$9=\frac{1}{3}\pi r^{2}3$

$\pi r^{2}=9$

$r^{2}=2.864$

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

$9=\frac{1}{3}\pi (2)^{2}h$

$h=\frac{9(3)}{4 \pi}$

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

6 0

3 years ago

Need help fast right now. Find the surface area of each solid. Round to the nearest tenth of necessary.

Mice21 [21]

Answer:

5)surface =2(lb*bh*hl)

=2(12*4+4*4+4*12)

=2(48+16+48)

=2(96+16)

=2*112

=224inc^2

6)surfacearea=2*pi*r(r+h)

=2*3.14*2(2+1)

=6.28*2*3

=6.28*6

=37.68m^2

7 0

3 years ago

Solve each system of equations below by the substitution method. And show your work.

Simora [160]

Instead of typing it all on here, I included my explanations with the work.

7 0

3 years ago

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is