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4 years ago

13

Sam and John live on the same street. John is 1 year older then twice Sam’s age. When you sum their ages you get37.How old are e

ach of them

2 answers:

Lana71 [14]4 years ago

7 0

Answer:

15

Step-by-step explanation:

icang [17]4 years ago

7 0

Answer:

12 and 25

Step-by-step explanation:

2x+1+x=3x+1

37-1=36

36/3=12

12*2+1=25 and 12

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4 years ago

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3 years ago

I have a vase that is shaped like a rectangular prism. The height is 10 inches. The length of the base is 6 inches. The width of

Keith_Richards [23]

Answer:

$200in^3$

Step-by-step explanation:

To solve this, we are using the formula for the volume of a rectangular prism:

$V=whl$

where

$w$ is the width of the base

$l$ is the length of the base

$h$ is the height of the prism

We know from our problem that the height is 10 inches. The length of the base is 6 inches. The width of the base is 5 inches.

Replacing values

$V=(5in)(10in)(6in)$

$V=300in^3$

Now, to find 2/3 of that volume, we just need to multiply it by 2/3

$\frac{2}{3} V=\frac{2}{3} 300in^3$

$\frac{2}{3} V=200in^3$

We can conclude that 2/3 of the volume of the vase is 200 cubic inches.

8 0

3 years ago

Find the area of shaded portions in figures.

sertanlavr [38]

Answer:

360cm²

Step-by-step explanation:

area of the parallelogram = base x height

base = 40 -10= 30cm

height = height of the triangle

A = 30*12= 360

6 0

3 years ago

Find the lateral area and the surface area of the right prism.

liraira [26]

Answer:

390 $in^{2}$

Step-by-step explanation:

We know that the top is a rectangle triangle, we only have two of the tree sides and the one that is missing is the hypotenuse. The formula to find it is $h^{2}= a^{2} +b^{2}$

If we put the values we know it would be

$h^{2}= 5^{2} +12^{2}$

$h^{2}= 25 +144$

$h^{2}= 169$

$h=\sqrt{169}$ = 13

So now we have the lenght missing.

The area of the top and bottom is the same and we found it by the formula $\frac{(base)(height)}{2}$ = $\frac{(12)(5)}{2}$ = 30, that is the area of just one triangle, multiply by 2 and that is the area of top and bottom = 30 x 2 = 60

The area of a rectangle is base x height, we have three rectangles.

First one: 13 x 11 = 143

Second one: 5 x 11 = 55

Third one: 12 x 11 = 132

The sum of the areas would be = 60 + 143 + 55 + 132 = 390 $in^{2}$

5 0

3 years ago