Ask question

Ask question

All categories

4 years ago

9

While visiting a friend's home, I saw kittens and chickens playing in the backyard. Counting heads, I got 18. Counting feet, I g

ot 50. How many kittens and how many chickens were in the backyard?

1 answer:

andrew11 [14]4 years ago

5 0

Answer:

11

Step-by-step explanation:

The 25 pairs of feet were 7 more than the number of heads, so there were 7 kittens. Hence there were 18-7 = 11 chickens.

You might be interested in

Which of the following sets of lengths can Sean use to make a right triangle?

Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

$c^2=a^2+b^2$

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

$18^2=5^2+15^2$

$324=250$ ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

$16^2=8^2+12^2$

$256=208$ ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

$15^2=5^2+13^2$

$225=194$ ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

$17^2=8^2+15^2$

$289=289$ ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0

3 years ago

Write the equation in slope intercept form?

Anika [276]

Answer:

the third one

Step-by-step explanation:

add 2y and 16 to both sides. then divide by 2

7 0

3 years ago

Read 2 more answers

What is y= 4^x with the domain of (-2,0,3)

Elena L [17]

Step-by-step explanation:

$\text{Put}\ x=-2,\ x=0\ \text{and}\ x=3\ \text{to the equation}\ y=4^x:\\\\y=4^{-2}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\y=\dfrac{1}{4^2}=\dfrac{1}{16}\\-----------------\\\\y=4^0=1\\-----------------\\\\y=4^3=64$

7 0

4 years ago

Select the correct answer. Which term is a term in this expression? -3x - 7(x+4) OA x + 4 O B. -7 Ос. -3x OD. -3

bearhunter [10]

Answer:

D. -3x

Step-by-step explanation:

Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.

-3x follows the above rule, so -3x is a term.

5 0

3 years ago

Easy math!!! Do #13 and #14 (#15 optional)<br> Please show work!

Andru [333]

13. Let A = the amount of money in the given time, P = principal amount; the amount of money you start with, T = time in years, R = interest rate, and N = amount of times interest is compounded each year.

The formula for compound interest is:

$A = P(1 + \frac{R}{N} )^{NT}$

Now, we find in the information from the description needed to plug in. P = $1000, R = 7% or 0.07, N = 1 time a year, T = 3 years

$A = 1000(1 + \frac{0.07}{1})^{1(3)}$

This simplifies to:

$A = 1000(1 + 0.07)^{3}$

And again to:

$A = 1000(1.07)^{3}$

Plug this into a calculator:

A = 1225.043 or ≈1,225.04

14. (x² + 3)(x - 3)(x + 3)

I'm going to do FOIL method on the second and third binomials first and simplify. This gives you:

(x² + 3)(x² - 9)

Then you do the FOIL method again to get:

x⁴ - 9x² + 3x² - 27

And combine like terms for your answer:

x⁴ - 6x² - 27

Number 15 doesn't give you a number to set the polynomial (that results from multiplying those two binomials) equal to so I'm guessing it wants you to set said polynomial equal to zero and solve for x then plug back in.

If not, your area is found by the equation 3x² - 5x - 12

4 0

3 years ago