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3 years ago

BRAINLIST ASAP

Mathematics

1 answer:

kifflom [539]3 years ago

6 0

Answer:

25.50

Step-by-step explanation:

-5 notebooks $2 each

-4 pencils $1.50 each

-2 packs of markers $3.75 each

5(2)+4(1.50)+2(3.75)

$23.5

23.5 times 8.5/100

1.9975

plus 23.5

25.4975

rounded to 25.50

You might be interested in

If point G is rotated 90 degrees counter clockwise around the origin, what is the resulting point?

Alex787 [66]

Answer: Point F

Step-by-step explanation:

the formula for rotation of 90 degrees counter-clockwise is (-y, x).

G=(-3,-2)

After 90 degrees counter-clockwise G is =(2,-3) which is equal to point F.

5 0

3 years ago

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ = 31.62

AysviL [449]

Answer:

A sample size of at least 737 specimens is required.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the width M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$M = 3, \sigma = 31.62$

So:

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 2.575*\frac{31.62}{\sqrt{n}}$

$3\sqrt{n} = 81.4215$

$\sqrt{n} = 27.1405$

$n = 736.60$

A sample size of at least 737 specimens is required.

6 0

4 years ago

Given the points R (6,-2) and T (-9,- 7), find the coordinates of point S on line RT such that the ratio of RS to ST is 3 : 2 p

Sholpan [36]

Answer:

(-3, -5)

Step-by-step explanation:

By using the distance formula, we see that the length of RT is $\sqrt{(6+9)^2+(-2+7)^2}$ which equals $5\sqrt{10}$ .

The ratio of RS to ST is 3:2, so we can write the distance of RS as $(5\sqrt{10} / 5) * 3$ which equals $3\sqrt{10}$ . The distance of ST is then $2\sqrt{10}$ .

Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:

$\sqrt{(6-x)^2+(-2-y)^2} = 3\sqrt{10}$ and $\sqrt{(-9-x)^2+(-7-y)^2} = 2\sqrt{10}$

We solve for x and y, getting (-3, -5).

3 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a t

faltersainse [42]

Answer:

one large box equals 15.75kg

one small box equals 13.75kg

Step-by-step explanation:

First, identify your variables:

Let "l" represent the weight of one large box.

Let"s" represent the weight of one small box.

Then, stack the two equations on top of each other:

$5l+3s=120\\7l+9s=234$

Next, multiply the first equation by 3 so we can use elimination of the "s" variable to find the "l" variable first:

$3(5l+3s=120)\\7l+9s=234\\\\15l+9s=360\\7l+9s=234$

Now, subtract the two equations to cancel out the s-variable and find the l-variable:

$15l+9s=360\\-(7l+9s=234)\\8l=126\\\frac{8l}{8}=\frac{126}{8}\\l=15.75$

Then, substitute your l-variable in the original first equation to find the s-variable:

$5l+3s=120\\5(15.75)+3s=120\\78.75+3s=120\\78.85-78.75+3s=120-78.75\\3s=41.25\\\frac{3s}{3}=\frac{41.25}{3}\\s=13.75$

With all the information that is collected, you find that one large box weighs 15.75kg and one small box weighs 13.75kg.

4 0

3 years ago

A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour. If Brian keeps his pace, how long will it take him

denpristay [2]

Answer:

2.053 hours

Step-by-step explanation:

From the question,

A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour.

If Brian keeps his pace, how long will it take him to run a half marathon?

This is calculated as:

6 1/3 miles = 1 hour

13 miles = x hour

Cross Multiply

6 1/3 miles × x hour = 13 miles × 1 hour

x hour = 13 miles × 1 hour/6 1/3 miles

x hour = 13 ÷ 6 1/3 miles

x hour = 13 ÷ 19/3

x hour = 13 × 3/19

x hour = 39/19

x hour = 2.0526315789 hours

Approximately = 2.053 hours

It will take him 2.053 hours to run a half marathon.

4 0

3 years ago