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WITCHER [35]
2 years ago
7

A typical small bag of colored candies has about 135 candies in it, 27 of which are blue.At this rate,how many blue candies woul

d you expect in a pile of 1000 colored candies?
Mathematics
1 answer:
borishaifa [10]2 years ago
4 0
There are 135 colored candies in a small typical bag, in which in every 135 colored candies, there are 27 blue candies.
Now, if there are 1 000 pile of colored candies, how much is the total number of blue candies.
First, let’s identify how many 135 candies are there in 1 000 candies
=> 1 000 / 135
=> there are 7.407407…. repeating decimals.
Now, let’s multiply this by 27
=> 7.407… x 27
= 200, thus, there are 200 blue candies in 1000 pile of colored-candies.



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An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in 10 minutes. It takes 20 minu
IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking​ rate, so athlete's jogging speed would be x+5 miles per hour.

\text{Distance}=\text{Rate}\cdot \text{Time}

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}

D_{\text{walking}}=\frac{x}{3}

While jogging, we will get D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}

D_{\text{jogging}}= \frac{(x+5)}{6}

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

\frac{x}{3}=\frac{x+5}{6}

Cross multiply:

6x=3x+15

6x-3x=15

3x=15

\frac{3x}{3}=\frac{15}{3}\\\\x=5

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: x+5\Rightarrow 5+5=10

Therefore, athlete's jogging speed is 10 miles per hour.

3 0
3 years ago
Pyramid = 40
Y_Kistochka [10]

Answer:

A. 39,000.

Step-by-step explanation:

Volume of the lower prism = 30^3= 27,000

Volume of the pyramid = 1/3 area of the base * height

= 1/3 * 900 * 40

= 1200

Volume of the whole solid = 27000 + 12000

= 39,000,

5 0
2 years ago
Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals.
marin [14]
Distance between two points P(x1,y1), Q(x2,y2):
D=sqrt((x2-x1)^2+(y2-y1)^2)

Polygons are generally named in order along the perimeter, so that for a rectangle ABCD, AC or BD are diagonals.
Here, we need the distance between points A(4,3) and C(-4,-2)
Applying the above formula for distance between two points, 

D=sqrt((4-(-4))^2+(3-(-2))^2)=sqrt(8^2+5^2)=sqrt(64+25)=sqrt(89)
6 0
3 years ago
Is 9.707 greater than 9.717
stepan [7]
No 9.717 is greater than 9.707 because 9.717 would be seven hundred seven thousandths and 9.717 would be seven hundred seven teen hundredths.
8 0
3 years ago
I was in the middle of a math test when one of the questions had ק as part of the equation. Can anyone tell me what it means? I
horsena [70]
Do you think it could be 'rho' (density)? Like the thing you use for calculating pressure in fluids?

...or maybe it's just a fancy P.
6 0
2 years ago
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