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3 years ago

How many times greater is 10^2 than 10^1

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

5 0

Answer:

it is greater by ten times.

SVEN [57.7K]3 years ago

4 0

Answer:

The answer is B

Step-by-step explanation:

By looking at the question, POWER represents the number of a value by multiplying it together :

e.g

10² = 10×10

= 100

10¹ = 10

100 ÷ 10 = 10 (10×)

2³ = 2×2×2

= 8

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There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a

inna [77]

Answer:

1/2

Step-by-step explanation:

4 of the 8 marbles are blue:

4/8 = 1/2

3 0

4 years ago

A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $15 per kilogram and Pennsylvania Jack

lawyer [7]

Answer: The quantity of pepper cheddar cheese required = 2.5 kilograms

The quantity of Pennsylvania Jack required = 4.5 kilograms

Step-by-step explanation:

Let x = Quantity of pepper cheddar cheese

y= Quantity of Pennsylvania Jack

As per given , we have the following system of equations:

$x+y=7----------(1)\\\\ 15x+8y= 7\times10.50\\\\ 15x+8y=73.5------------(2)$

Multiply 8 to equation(1) , we get

$8x+8y=56---------(3)$

Eliminate (3) from (2) , we get

$7x=17.5\\\\ x=\dfrac{17.5}{7}=2.5$

Put value of x in (1) , we get

$2.5+y=7\\\\ y=7-2.5=4.5$

Hence, the quantity of pepper cheddar cheese required = 2.5 kilograms

The quantity of Pennsylvania Jack required = 4.5 kilograms

3 0

3 years ago

5) Suppose a slice of a 12-inch pizza has an area of 20 square inches. What is the angle of

devlian [24]

Answer:

The angle of the slice is 63.64 degrees

Step-by-step explanation:

Here in this question, we are concerned with calculating the angle of the slice.

What we should know are as follows;

1. A pizza is a perfect circular shape

2. A 12-inch pizza means the diameter of the pizza is 12 inches and consequently its radius will be 12/2 = 6 inches

3. A slice of a pizza represents a sector of the circle( a sector is part of a circle bounded by 2 radii and an arc)

Mathematically, to calculate the angle of the slice, we simply use the formula for the area of a sector.

Area of sector = theta/360 * pi * r^2

where Area of sector = 20 square inches

theta is the center angle we are looking for

r is the radius of the pizza which is 6 inches

Plugging these values into the area of sector equation, we have

20 = theta/360 * 22/7 * 6^2

20 = theta/10 * 22/7

22 theta = 10 * 20 * 7

theta = 1400/22

theta = 63.64 degrees which is approximately 64 degrees to the nearest degree

5 0

4 years ago

A bag contain 3 black balls and 2 white balls.

Troyanec [42]

Answer:

Step-by-step explanation:

Total number of balls = 3 + 2 = 5

$Probability \ of \ taking \ 2 \ black \ ball \ with \ replacement\\\\ = \frac{3C_1}{5C_1} \times \frac{3C_1}{5C_1} =\frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\\\\$

$Probability \ of \ one \ black \ and \ one\ white \ with \ replacement \\\\= \frac{3C_1}{5C_1} \times \frac{2C_1}{5C_1} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}$

Probability of at least one black( means BB or BW or WB)

$=\frac{3}{5} \times \frac{3}{5} + \frac{3}{5} \times \frac{2}{5} + \frac{2}{5} \times \frac{3}{5} \\\\= \frac{9}{25} + \frac{6}{25} + \frac{6}{25}\\\\= \frac{21}{25}$

Probability of at most one black ( means WW or WB or BW)

$=\frac{2}{5} \times \frac{2}{5} + \frac{3}{5} \times \frac{2}{5} \times \frac{2}{5} + \frac{3}{5}\\\\= \frac{4}{25} + \frac{6}{25} + \frac{6}{25}\\\\=\frac{16}{25}$

a) Probability both black without replacement

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

b) Probability of one black and one white

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

c) Probability of at least one black ( BB or BW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{6}{20} + \frac{6}{20} \\\\=\frac{18}{20} \\\\=\frac{9}{10}$

d) Probability of at most one black ( BW or WW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{1}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{2}{20} + \frac{6}{20} \\\\=\frac{14}{20}\\\\=\frac{7}{10}$

6 0

3 years ago

Plz have explanation with answer

Dmitry [639]

The answer is B, because a trapezoid is when the line and the dots are angled

4 0

3 years ago

Read 2 more answers