A farmer looks out her window and sees ducks and rabbits. She says to her husband, "I see 36 heads and 80 feet." Assuming she counted correctly, how many ducks did she see

Answer:

vertex

Step-by-step explanation:

took the assignment a bit ago

Answer:

871 and 1/2 feet is correct

Step-by-step explanation:

Answer: capitalized

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Since, T is the mid point of PQ,

[tex] \therefore PT = TQ \\

7x + 9 = 9x - 5\\

9 + 5 = 9x - 7x\\

14 = 2x \\

\frac{14}{2} = x\\

7 = x \\

x = 7\\

PT = 7x + 9 = 7\times 7 + 9= 49 + 9 \\

PT= 58

[/tex]

Answer:

(0,-2)

Step-by-step explanation:

Plug in each value for the equation

-3(0) - (-2) = 2

0 - (-2) = 2

2=2

Answer:

-4,-3,-2,-1,0,+1,+2,+3..........

Step-by-step explanation:

-4 is greater than -5.

A number system is defined as a system of writing to express numbers.

An integer is the number zero, a positive natural number or a negative integer with a minus sign.

We need to find the integer which is greater than -5.

When we look into the number line we get an idea that the numbers with minus values are smaller than the positive values.

The greatest number with minus sign is smaller than the smallest number with minus sign.

-4 is greater than -5.

Not only -4 but the integers -4,-3,-2, -1, 0,1,2..... are greater.

Hence, -4 is greater than -5.

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Answer:

Hey there!

There is this equation, which states that the angle created by an inscribed angle is half the measure of the arc.

Thus, we can write: 60=5x-5

65=5x

x=13

Let me know if this helps :)

Answer:

x= 13

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

30= 1/2 (5x-5)

Multiply each side by 2

60 = 5x-5

Add 5 to each side

65  = 5x

Divide by 5

13 =x

Answer: 8hrs

Step-by-step explanation:

Answer: n=9

Step-by-step explanation:

81 = n>4*n

81 = 9(>4)*9

81 = 9*9

Answer:

$5.31/lb

Step-by-step explanation:

Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.

Answer:

$5.31 per pound.

Step-by-step explanation:

$21.25 for so

%21.25/4= $5.31

The answer is $5.31 per pound.

Answer:

the answer is 4x

Step-by-step explanation:

you are subtracting 1x

Answer:

4 miles

Step-by-step explanation:

1 1/4 there + 1 1/2 around + 1 1/4 back= 4 miles

Answer: x=20

Step-by-step explanation:

1/2x + 7  =x -3            add 3 to both sides

          +3      +3

1/2x + 10 = x          Subtract 1/2x from both sides

-1/2x          -1/2x

        10 = 1/2x

  x = 20

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

We can solve for x by simplifying the equation until we have x isolated on one side.

[tex]\frac{1}{2}x + 7 = x-3[/tex]

Subtract 7 from both sides:

[tex]\frac{1}{2}x = x-10[/tex]

Subtract x from both sides:

[tex]-\frac{1}{2}x = -10[/tex]

Multiply both sides by -2:

[tex]x = 20[/tex]

Hope this helped!

Answer:

$5

Step-by-step explanation:

$60 earned for moving 12 lawns

Amount of money per lawn is:

Answer is amount per lawn is $5

Answer:

$5

or

$5 / 1 lawn

Step-by-step explanation:

The process is quite simple - especially since you already have half of the answer.  The question says money per lawn.  The creator of the problem gave away a lot of the answer.  They already tell us the rate.  Now all ou have to do is plug the numbers in:

Money per lawn

Money / lawns (The slash is used to represent per)

What is the money? $60. So plug that in:

$60 / lawns

How many lawns? 12.  Plug that in:

$60 / 12 lawns

Now, all you have to do is either simplify the fraction or divide the denominator by the numerator - whichever one you prefer.  In that case, the rate can be any of the following:

$5

$5 / 1 lawn

Hope this helps! Tell me if I am wrong!

Answer:

[tex]\Huge \boxed{(x^2 - 4x + 16)}[/tex]

Step-by-step explanation:

x³ + 64

64 is a perfect cube. Rewrite 64 as 4³.

x³ + 4³

Apply sum of cubes formula:

a = x

b = 4

(x + 4)(x² - (x)(4) + 4²)

(x + 4)(x² - 4x + 16)

(x² - 4x + 16) is the other factor.

Answer:

rational number

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

Answer:

Rational

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

Answer:

He bought 4 drinks

Step-by-step explanation:

18.25= 2.25(5)+1.75d

18.25= 11.25+ 1.75d

18.25-11.25= 7

7= 1.75d

7/1.75

4=d

Answer:

4 drinks

Step-by-step explanation:

t = 2.25h + 1.75d

T = Total Cost

H = Hotdogs

D = Drinks

We have our total cost, which is $18.25 dollars

18.25 = 2.25h + 1.75d

We know Costas bought 5 hotdogs, so replace h with 5 and multiply :

2.25(5)

==> 11.25

Now that 11.25 dollars has been made, let's see how much money we need left to fit for the drinks.

18.25 - 11.25

==> 7

We need 7 dollars worth of drinks, so divide the cost by the amount we need to have.

7 / 1.75

==> 4

Castos needs to buy 4 drinks.

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Let's simplify step-by-step.

[tex]Log (5) + (3 log (2)) - \frac{log(4)}{log(10)}[/tex]

[tex]= 0.69897 + 3(log (2)) - \frac{log (4)}{log (10)}[/tex]

[tex]= 0.69897 + (3) (0.30103) - \frac{log (4)}{log(10)}[/tex]

[tex]= 0.69897 + 0.90309 - \frac{log (4)}{log(10)}[/tex]

[tex]= 1.60206 - \frac{log(4)}{log(10)}[/tex]

[tex]= 1.60206 - \frac{1.60206}{log (10)}[/tex]

[tex]= 1.60206 - \frac{1.60206}{1}[/tex]

[tex]= 1.60206 - 0.60206[/tex]

[tex]= 1[/tex]

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Have a great day/night!

❀*May*❀

Answer:

The rate of the jet in still wind is 1160 MPH and the rate of the wind is 240 MPH.

Step-by-step explanation:

Distance equals rate times time (d = rt)

Against the wind, the rate is:

4600 = r * 5

r = 4600/5 = 920 MPH

With the wind, the rate is:

4200 = r * 3

r = 4200/3 = 1400 MPH

Let W be the rate of the wind in MPH. We know that:

(rate of the jet against the wind) + (rate of the wind) = (rate of the jet with the wind ) - (rate of the wind), so:

920 + W = 1400 - W

2W = 480

W = 240 MPH

And the speed of the jet in still air would be:

1400 - 240 = 1160 MPH

Answer:

Step-by-step explanation:

-7+14=7

D.7

Answer:

Original height = 144 cm

Increase height = 148.5 cm

Change in height = 148.5 - 144 = 4.5 cm

Percentage change = change/original ×100

= (4.5 / 148.5) × 100

= 3.03%

The height increased by 3.03%.

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

148.5 - 144 = 4.5

[tex]\frac{Difference}{Initial Amount}[/tex] × 100

[tex]\frac{4.5}{148.5}[/tex] × 100 = 3.03 ≈ 3%

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Have a blessed day!

Answer:

it is unlikely that the spinner lands on pink. ​

Step-by-step explanation:

[tex]1- \frac{1}{8}\\ = 7/8[/tex]

There is 7/8 chance it is not going to land on pink

Answer:

The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions

Step-by-step explanation:

hope it help

Answer:

D = b² - 4ac

Step-by-step explanation:

if,

ax² + bx + c = 0

Answer:

191.56

Step-by-step explanation:

Given

191.5638

Required

Approximate

Approximating to the nearest hundredth implies that, only to digits after the decimal point is needed

This is:

191._ _

The third digit after the decimal point will approximated using the approximation rule;

Since, the third digit after the decimal point (3) is not up to 5, it'll be approximated to 0 and added to the second digit (6)

So, we have:

191.5 _

The next digit is calculated as 6 + 0 = 6

Hence, the full approximated number is 191.56

Answer:

b = -3

Step-by-step explanation:

Solve for b:

4 b - 4 2 + 24 = 20 - 16

-4×2 = -8:

4 b + -8 + 24 = 20 - 16

Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):

4 b + (24 - 8) = 20 - 16

24 - 8 = 16:

4 b + 16 = 20 - 16

20 - 16 = 4:

4 b + 16 = 4

Subtract 16 from both sides:

4 b + (16 - 16) = 4 - 16

16 - 16 = 0:

4 b = 4 - 16

4 - 16 = -12:

4 b = -12

Divide both sides of 4 b = -12 by 4:

(4 b)/4 = (-12)/4

4/4 = 1:

b = (-12)/4

The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:

Answer: b = -3

Answer: $1,412.52

Step-by-step explanation:

Formula to calculate the accumulated amount if P principal invested for t years at a rate of interest r that compounded daily is given by:-

[tex]A=P(1+\dfrac{r}{365})^{365t}[/tex]

Given: P= $2,335.69

r= 4.3%= 0.043

t= 11 years

Then,

[tex]A=2335.69(1+\dfrac{0.043}{365})^{365\times11}\\\\=2335.69(1+0.000117808219178)^{4015}\\\\=2335.69(1.000117808219178)^{4015}\\\\= 2335.69(1.6047566747)\\\\=3748.09044309\approx3748.21\\\\\Rightarrow\ A=\$3748.21[/tex]

Interest earned = A-P

= $3748.21- 2335.69.

= $1412.52

Hence, Neal earned $1,412.52 as interest.

Answer:

C.) (b+a)(c+x) = True

E.) (a+b)(x+c)  = True

Step-by-step explanation:

all others are not equal.

Answer:

divide by 2

Step-by-step explanation:

because if you subtract 4 -8 =you would get 4then 4-4=0 so eliminate subtract 4 and you can tell the number isnt going higher so you wouldnt add or multiply your welcome

Answer: Go here https://quickmath.com/webMathematica3/quickmath/equations/solve/basic.jsp

Step-by-step explanation:

It will show you how

Answer:

She made 10 additional cakes

Step-by-step explanation:

x = additional cake

20 = base salary

y = 4x + 20

60 = 4(x) + 20

40 = 4(x)

x = 10