Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?

Answer:

You're correct the answer is B) [tex]-5 \leq y \leq -1[/tex]

Step-by-step explanation:

The key behind this problem is think about the function [tex]\sqrt[3]{x}[/tex] and think what happen when you plug in values in it.

So we're  going to try with some simply values for evaluate

[tex]\sqrt[3]{-8} = -2[/tex]

[tex]\sqrt[3]-1} = -1[/tex]

[tex]\sqrt[3]{0} = 0[/tex]

[tex]\sqrt[3]{1} = 1[/tex]

[tex]\sqrt[3]{8} = 2[/tex]

How you can see when plug in a negative number the function return a negative number, but when you plug in a positive number the function return a positive number (this isn't a proof of this happen in each value of the given interval, but is a good way of demonstrate the relation). This means that when you plug in a value this value is greater than the value of before, so the function  is increasing it's outputs.

Now this is good because that's mean that the limits of the range are the limits of the domain evaluates in the function (because the smaller input give us the smaller output and the same with the greater). But the given function have different operation in it, so you have to interpret this operations of this way:

So with this information you evaluate each limit of the domain [tex]\{-8, 8\}[/tex] in the function and get the limits for the range.  

[tex]f(-8) = \sqrt[3]{-(-8)} -3= \sqrt[3]{8} -3 = 2 -3 = -1[/tex]

[tex]f(8) = \sqrt[3]{-8} -3= -2 -3 = -5[/tex]

So the range of the function in the given interval is equal to [tex]\{-1, -5\}[/tex] in the interval notation is equal to [tex]-5 \leq y \leq -1[/tex]

Answer:

B. (3, 0)

Step-by-step explanation:

It's B. (3,0) because it's on the line of 3 and 0 aka x axis

Answer:

An odd integer is denoted by 2n+1 where n is an integer.

First odd integer = 2n+1

Next odd integer = 2n+3

8 ≦ (2n+1)+(2n+3) < 24

8 ≦ 2n+1+2n+3 < 24

8 ≦ 4n+4 < 24

Divide through by 4

2 ≦ n+1 < 6

Subtract 1 for all three sides:

1 ≦ n < 5

n ∈ {1,2,3,4}  

Answer:  {2n+1, 2n+3}  {1,3}, {3,5}, {5,7

Step-by-step explanation:

Step-by-step explanation:

4:6 as a fraction is 4/6

4/6 in its lowest terms is 2/3

hope this helps

Answer:

The answer is 60

Step-by-step explanation:

8x + 2x

x = 6

Substitute the value of x

8(6) + 2(6)

48 + 12

= 60

So basically 8x has a missing number and that missing number is 6 meaning that you need to multiply so you would multipy 8 times 6 and would get 48

Now that you have that answer you would do the next one which is 2 times 6 and thats 12 then you add 48 and 12 together making that 60 and your answer is 60.

Simpler

8 x 6 = 48

2 x 6 = 12

48 + 12 = 60

Hey there!

Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.

24 = 1 × 2 × 2 × 2 × 3

24 = 2³ × 3 × 1

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

Hope it helps ya!

Answer:

y = x

Step-by-step explanation:

line has a slope 1 and passes through the origin . So the equation is y = x

Answer:  

3 1/15

Step-by-step explanation:

8 2/3 - 5 3/5

find the LCD(least Common denominator)

8 10/15    -  5  9/15   =  3 1/15

Answer:

104.7%

Step-by-step explanation:

When changing a decimal to a percentage, simply move the decimal point to the right two place values to obtain your percentage:

1.047 = 104.7%

And vice versa, when changing a percentage to a decimal, move the decimal point to the left two place values to obtain your decimal.

~

Answer:

4x + 32x²

Step-by-step explanation:

4x(1 + 8x) ← multiply each term in the parenthesis by 4x

= 4x + 32x²

Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

Answer:

B

Step-by-step explanation:

Meet at the middle of the two lines

Answer:

pretty sure it's c

Step-by-step explanation:

when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2

Answer:

24.5

Step-by-step explanation:

Apply the pythagorean theorem:

35^2-25^2=c^2

1225-625=c^2

600=c^2

c=24.5

Answer:

a)x²

5²=25

b] (x+3)²

(5+3)²

(8)²=64

Answer:

4^22x

Step-by-step explanation:

Answer: It's the 3rd one. Secant line

Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

Step-by-step explanation:

two consecutive numbers means that one is larger by 1 than the other number.

so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.

to show what I mean, let's start with the second number being the larger one.

we are dealing therefore with x and (x+1).

3x + (x+1) - 2 = 144

4x - 1 = 144

4x = 145

x = 145/4

this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution.

therefore we are checking the other approach :

we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.

3(x+1) + x - 2 = 144

4x + 1 = 144

4x = 143

x = 143/4

this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution either.

and now I am beginning to think you left out some important information in the question.

could it be these 2 numbers are consecutive even or consecutive uneven numbers ?

because then the difference between the both of them is 2 and not 1.

we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :

3x + (x+2) - 2 = 144

4x = 144

x = 144/4 = 36

ah ! now that looks different !

36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.

let's check :

36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144

correct.

and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :

3(x+2) + x - 2 = 144

4x + 6 - 2 = 144

4x + 4 = 144

4x = 140

x = 140/4 = 35

35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...

so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.

x=2

1:Subtract 2x from both sides.

2:Combine 2/3 x and -2x to get -4/3

3:Subtract 3/8 from both sides. Anything subtracted from zero gives its negation.

4:Multiply both sides by -3/4,the reciprocal of -4/3

5:Multiply − 3/8 ​ times − 4/ 3 ​ by multiplying numerator times numerator and denominator times denominator.

6:Do the multiplications in the fraction −8(−3) over 3x4.

x=24/12

Divide 24 by 12 to get 2.

x=2

​

Answer:

Answer:

M = 75N

0.50 m/s²

M = 150kg

Explanation:

M = F

a6

Answer:

5

Step-by-step explanation:

Eacl side of the square has a length of 5 cm.

Answer:

55%

Step-by-step explanation:

i assume your question is from mathswatch

And this is the answer for it!

Answer:

9:4

Step-by-step explanation:

Here is the math to illustrate better:

18/2 = 9 and 8/2 = 4

Thus, The 18:8 ratio simplified

Here are the answers

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Answer:

Prime factorization: 2x2x3x3x7

Exponential form: = 2^2 x 3^2 x 7

Step-by-step explanation:

Answer:

Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is

Step-by-step explanation:

calculating the change between two points.

Answer:

hope it helps you

(•‿•).........

Answer:

Grilled cheese 1/10

Step-by-step explanation:

If you divide the rest of the fractions you get decimals and since 1/10 is still 10 grilled cheese is the favour lunch

Answer:81.79$

Step-by-step explanation:

Total Value/ Percentage

So in this case it would be 545.19 divided by 25

and you would then get your answer, 81.79$

Answer:

Step-by-step explanation:

Given formula:

(i)

Solve for i:

(ii)

P = 2500, A = 2650, find i: