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2 years ago

I need help please for my test

Mathematics

1 answer:

Umnica [9.8K]2 years ago

7 0

original figure (-7,-6)

final figure (-7,2)

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When 50% of a number is added to the number, the result is 135

bonufazy [111]

Let's call the unknown number x.
x+ (50% of x) = 135

x + (0.5x) = 135
1.5x = 135
x = 135/1.5
x = 90

Therefore, the number is 90

6 0

2 years ago

A circle has a radius of 5cm. find its area and circumference.

daser333 [38]

Answer:

A = 78.5

C = 31.4

Step-by-step explanation:

Circumference = 2πr

r = 5

C = 2(3.14)(5)

Circumference = 31.4

Area = $\pi r^2$

r = 5

A = $(3.14)(5^2)=(3.14)(25)=78.5$

5 0

2 years ago

What is the measure of degrees 1/8

Assoli18 [71]

Answer:

252

Step-by-step explanation:

6 0

3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

2 years ago

Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.

Lemur [1.5K]

Answer:

Kate's possible hourly rate of pay: $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms: 1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072: 2072x/2072 = 72000/2072

Solve for x: x = $34.75

Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

8 0

3 years ago