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3 years ago

How many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

there are 5 choices for the first digit (exclude 0)

there are 5 choices for the first digit (include 0)

there are 4 choices for the first digit

there are 3 choices for the first digit

there are 2 choices for the first digit

there are 1 choices for the first digit

for a total of 5*5*4*3*2*1 = 600 numbers

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X=4y-7<br> 2x+9y=-31 <br> What be the answer

dybincka [34]

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

7 0

3 years ago

Read 2 more answers

The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

3 years ago

Help plz ill give extra points

UkoKoshka [18]

Answer:

79 degrees

Step-by-step explanation:

PQU is a straight line, so $\angle PQU = 180^\circ$ . This is also the sum of the four smaller angles. We can subtract 34+37+30 from 180 to get that $\angle SQT = 79^\circ$

(if right pls give brainliest :) )

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3 years ago

An entertainment firm offer serveral DJ choices and light shows that range in price based on the rental time period. The DJs cos

Fantom [35]

Answer:

$378\le x\le 678.$

Step-by-step explanation:

If you are booking both a DJ and a light show and the DJs cost between $219 and $369 per night and the light shows cost between $159 and $309 per night, then the possible total amount you would pay x must be between $(219+159)=$378 (the least price) and $(369+309)=$678 (the greatest price).

A compound inequality will take look

$378\le x\le 678.$

3 0

3 years ago

What do I need to do here? I don't understand.

Allushta [10]

All you have to do to solve this is to find the square root of 183.84 and multiply it by 4. Since the square root is 13.558761005342634 then that would equal one side of the square. Multiply it by 4 to get the perimeter of the entire square.

<span>13.558761005342634*4 = 54.2350440214</span>

5 0

3 years ago