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horsena [70]
3 years ago
6

Five times a number is the same as 30 more than 8 times the number. Find the number

Mathematics
2 answers:
WARRIOR [948]3 years ago
5 0
Hello.

5x = 8x+30

5x-8x+30 = 0

-3x=-30

x=-10


Have a nice day

Pani-rosa [81]3 years ago
3 0
<span>Let x = the number

then
5x = 8x+30
-3x = 30
x = -10</span>
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The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3
Grace [21]

Answer:

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.

and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04

3 0
2 years ago
A widget company produces 25 widgets a day, 5 of which are defective. Find the probability of selecting 5 widgets from the 25 pr
PIT_PIT [208]

Answer:

0.292

Step-by-step explanation:

When we select the first widget, there are 20 good widgets from 25 total.

When we select the second widget, there are 19 good widgets from 24 total.

So on and so forth.

So the probability is:

P = (20/25) (19/24) (18/23) (17/22) (16/21)

P = 0.292

Alternatively, we can calculate this using combinations.

We are selecting 5 widgets from a total of 25. ₂₅C₅

From the 5 defective widgets, we want to select 0. ₅C₀

From the 20 non-defective widgets, we want to select 5. ₂₀C₅

So the probability is:

P = (₅C₀ ₂₀C₅) / ₂₅C₅

P = 0.292

4 0
2 years ago
Keisha bought cups of coffee and bagels for the people in her office. Each bagel cost $2 and each cup of coffee cost $1.50. Keis
-Dominant- [34]

Answer:

The number of bagels is <u>11</u> and the cups of coffee is <u>12</u>.

Step-by-step explanation:

Given:

Keisha bought cups of coffee and bagels for the people in her office. Each bagel cost $2 and each cup of coffee cost $1.50.

Keisha spent a total of $40 to buy 23 items.

Now, to find the number of cups of bagels and coffee.

As given in question:

Let x represent the number of bagels.

And y represent the number of cups of coffee.

So, the total number of items:

x+y=23

x=23-y    ......(1)

Now, the total money spent on items:

2x+1.50y=40

Substituting the value of x from equation (1):

2(23-y)+1.50y=40

46-2y+1.50y=40

46-0.50y=40

<em>Subtracting both sides by 46 we get:</em>

-0.50y=-6

<em>Dividing both sides by -0.50 we get:</em>

y=12.

<em>The number of cups of coffee = 12.</em>

Now, to get the number of bagel we substitute the value of y in equation (1):

x=23-y

x=23-12

x=11.

<em>The number of bagels = 11.</em>

Therefore, the number of bagels is 11 and the cups of coffee is 12.

6 0
3 years ago
Whats the perimeter of this small parallelogram?
Arisa [49]

Answer:

Perimeter = 18 units

Step-by-step explanation:

one side = 4

other side²  = 3² + 4² + 25

other side = √25 = 5

Perimeter = (2 x 4) + (2 x 5) = 18 units

4 0
3 years ago
Factor completely. y2+6y+8
zloy xaker [14]
If you can't see the picture the answer is: (y+4)(y+2).

Hope this helps, and May the Force Be With You!
-Jabba

4 0
3 years ago
Read 2 more answers
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