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Flauer [41]
3 years ago
15

Ray has 4 boxes with 5 pens in each ox. Kevin has 5 boxes with 4 pens in each. Who has more pens?

Mathematics
2 answers:
suter [353]3 years ago
6 0

Answer:

They have equal

Step-by-step explanation:

Ray has 4 boxes in each is 5 pens, so it is 4*5=20 pens

Kevin hs 5 boxes, in each 4 pens, so it is 5*4=20 pens.

BaLLatris [955]3 years ago
3 0

They have the same number of pens.

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4/25 of the purchases were stuffed animals. 10/21 of them were bears. What fraction of the purchases were stuffed bears?
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Let's name all the purchases "x"

so \frac{4}{25}of them were stuffed animals, and out of that \frac{10}{21} were bears.

to get the results we have to multiply the fraction of bears by the fraction of the stuff animals:

\frac{4}{25}*\frac{10}{21}.
 
and now we simplify:
\frac{4*2}{5*21}=\frac{8}{105}

and this is the answer!






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Would it make sense to state "a dilation has a scale factor of 1" explain your reasoning
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Point A is located at (-5, 2) on a coordinate grid. Point A is translated 8 units to the right and 3 units up to create point A.
Molodets [167]

The closest distance between point A and point A' is 8.5 ⇒ B

Step-by-step explanation:

Let us revise the translation of a point

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ Point A is located at (-5 , 2)

∵ Point A is translated 8 units to the right and 3 units up

- That means add x-coordinate by 8 and add y-coordinate by 3

∴ Point A' located at (-5 + 8 , 2 + 3)

∴ Point A' located at (3 , 5)

The distance between two points (x_{1},y_{1}) and (x_{2},y_{2})

is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ Point a = (-5 , 2) and point A' = (3 , 5)

∴ x_{1} = -5 and x_{2} = 3

∴ y_{1} = 2 and y_{2} = 5

- Substitute these values in the rule of the distance

∵ d=\sqrt{(3--5)^{2}+(5-2)^{2}}

∴ d=\sqrt{(3+5)^{2}+(3)^{2}}

∴ d=\sqrt{(8)^{2}+(3)^{2}}

∴ d=\sqrt{64+9}=73

∴ d = 8.544 ≅ 8.5

The closest distance between point A and point A' is 8.5

Learn more:

You can learn more about the distance between two points in brainly.com/question/6564657

#LearnwithBrainly

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