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3 years ago

A recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?

Mathematics

1 answer:

Oliga [24]3 years ago

4 0

Answer:

Step-by-step explanation:

You need to count by 4´s. So:

4, 8, 12, 16, 20.

3, 6, 9, 12, 14.

I lined them up for you to understand it easier

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John is twice as old as his son. In 42 years, the ratio of their ages will be 4:3. What is the son's current age?

dsp73

Answer: Jhon is 42 years old, and his son is 21 years old.

Step-by-step explanation:

Let's define:

J = John's age

S = Age of the son.

We know that:

"John is twice as old as his son"

J = 2*S

"In 42 years, the ratio of their ages will be 4:3. What is the son's current age?"

In 42, their ages will be:

J + 42 and S + 42.

And the ratio 4:3 means that:

(J + 42) = (4/3)*(S + 42)

Then we have the system of equations:

J = 2*S

(J + 42) = (4/3)*(S + 42)

To solve it we can first replace the first equation into the second one, to get:

(2*S + 42) = (4/3)*(S + 42)

2*S - (4/3)*S = (4/3)*42 - 42

S*(6/3 - 4/3) = (1/3)*42

S*(2/3) = (1/3)*42

S = (3/2)*(1/3)*42 = 21.

And we can find Jonh's age if we use the first equation:

J = 2*S = 2*21 = 42

Jhon is 42 years old, and his son is 21 years old.

8 0

3 years ago

How do I do this please help I'm in tears

irakobra [83]

F(x) is vertically stretched by a factor of 5/4 matches w/ f(x)-5/4
f(x) reflects the x axis matches w/ -f(x)
f(x) is translated 5/4 units up matches with f(x)+5/4
f(x) translated 5/4 to the left matches w/ f(x)-5/4

I didn't really know about this one but it seemed kind of easy, what was your first guesses and did you forget to put one more or was the question like that.

Hope this is right :) or if someone else has a different answer but in the meantime, good luck :)

3 0

3 years ago

Read 2 more answers

Please help i dont get this at all

Tom [10]

Answer:

$\frac{20y^{2} a^{2} }{41bx^{3} }$

Step-by-step explanation:

1) Flip the second fraction and change the operation to multiplication:

$\frac{5x^{2}y^{3} }{2a^{5}b^{4} } * \frac{8a^{7}b^{3} }{41x^{5}y }$

2) Cross cancel factors:

$\frac{5y^{2} }{2b } * \frac{8a^{2} }{41x^{3} }$

3) Multiply:

$\frac{40y^{2} a^{2} }{82bx^{3} }$

4) Simplify:

$\frac{20y^{2} a^{2} }{41bx^{3} }$

4 0

3 years ago

Read 2 more answers

.340 in expanded notation

snow_tiger [21]

(3 x .1) + (4 x .01)
x is multiplication

Since the 3 is in the tenths place, multiply by 1 tenth, same with the hundredths place, just multiply 4 by 1 hundredth

7 0

3 years ago

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A rectangle has a height of k2 + 3 and a width of k2 + 7.

ElenaW [278]

Answer:

The area of the rectangle in polynomial form is $k^4 +10 k^2 + 21$