The sum of two numbers must be 24 or greater. The product of the two numbers must be less than 60. Which system of inequalities represents this situation?

A
{x+y≥24xy<60

B
{x+y>24xy<60

C
{x+y≥24xy<60

D
{x+y>24xy<60

Answer:

C

Step-by-step explanation:

The correct answer is C

Because taking the point to be (a,b)

[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]

Answer:

13) 11C5 or 11C6 = 462

14) it appears to be only 1

DCDCDCDCDCD

15) 9 choose 6 or 9 choose  3 = 84

Step-by-step explanation:

The Constructed  confidence interval for the proportion of her photographs taken within the last year contained flowers is

[tex]CI\ E(0.57,0.65)[/tex]

From the question we are told that:

The proportion of photographs that had flowers P= 0.61

Margin of error of M.E= 0.04

Generally, the equation for Confidence interval for proportion is mathematically given by

[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E

Therefore Confidence interval is

[tex]CI=0.61 \pm 0.04[/tex]

And can also be written as

[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]

[tex]CI\ E(0.57,0.65)[/tex]

In conclusion the Confidence interval is

[tex]CI\ E(0.57,0.65)[/tex]

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Answer:

C = 8 pi cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

16 pi = pi r^2

Divide each side by pi

16 = r^2

Taking the square root

4 = r

The circumference is

C = 2 * pi *r

C = 2* pi *(4)

C = 8 pi cm

Answer:

simply

addition property of equality

simplify

multiplication property of equality

Answer:

Ranika should have known since the series of letters and numbers Radhika gave her don't make out to be a legal phone number.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4x - 8 + 2y - w

None of the terms can be combined, so there are 4 terms

4x, -8, 2y, and -w

Answer:

B: 1/6

Step-by-step explanation:

The probability a boy will get picked who owns what is 5 on the picture, out of 30 choices.  So divide 30 by 5 and get your answer :)

Please mark brainiest

Answer:

Correct answer is A. Trust me

Step-by-step explanation:

Answer:

Divide the number you want to find the percentage for by the total amount of items in that group. Then, multiply that value by 100.

Step-by-step explanation:

Ex. There are 3 boys in a group of 4. What percentage of the group are boys?

[tex]\frac{3}{4} =0.75[/tex]

[tex]0.75*100=75[/tex]

75% of the group are boys

Answer:

x = 90

Step-by-step explanation:

Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!

60 + 30 + b= 180

a + x = 180

60 + 30 + b= 180

90 + b = 180

b = 90

90 + x = 180

x = 90

exterior angle  equal to the sum of its two opposite non-adjacent interior angles.

Answer:

Let n be the total number of desserts.

Let s be the total ounces of  strawberries.

S = 4n <- answer to part a.

24 = 4n

n = 6

If she has 24 ounces of strawberries, she can make 6 desserts.

Let me know if this helps!

Step-by-step explanation:

please tell me where is the equation.

Answer:

D. How much sunlight do tomato plants need to thrive?

Step-by-step explanation:

Answer:

5+5=2×5

10 10

Step-by-step explanation:

here is your answer

Answer:

<5 and <6 are supplementary angles

<1 and <6 are vertical angles

Answer and Step-by-step explanation:

First, we need to find out the circumference of the circle.

We know that the circle has a radius of 1, and that we are finding the circumference. We'll use the circumference equation of a circle.

2[tex]\pi[/tex]r

Plug in 1 for r.

[tex]2\pi (1)[/tex] = [tex]2\pi[/tex] = circumference of circle

Now, multiply the answer (the circumference) by 4 to get the perimeter of the square.

[tex]2\pi[/tex] x 4 = [tex]8\pi[/tex] = perimeter of square

Now, divide the perimeter by 4 to get what the side of the square is.

[tex]8\pi[/tex] ÷ 4 = [tex]2\pi[/tex]

Now, multiply [tex]2\pi[/tex] by [tex]2\pi[/tex] (side times side) to get the area.

[tex]2\pi[/tex] x  [tex]2\pi[/tex] = [tex]4\pi[/tex]

The answer is A. [tex]4\pi[/tex]

#teamtrees #PAW (Plant And Water)

I hope this helps!

Brainliest is appreciated,

Step-by-step explanation:

x³×15-6

15x³-6

2. Let the number be y, then

(4×y)+(5/3)

4y+5/3

Answer:

w=-7/2z

Step-by-step explanation:

to solve for w you firstly have to group the like terms

5w-3w=2z-9z

2w=-7z

then you have to divide both sides by 2 inorder to remain with w on one side.

2w/2=-7/2

w=-7/2

I hope this helps

Answer:

Step-by-step explanation:

Correct choice is A

Answer:

1/7

Step-by-step explanation:

We can us the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3-4)/(-9- -2)

   = (3-4)/(-9+2)

   = -1 /-7

   =1/7

Answer:

Given:

(sin5x−sinx)(cos4x−cos6x)

(cosx−cos3x)(sin8x+sin2x)

Use the formula:

sina+sinb=2sin(

2

a+b

)cos(

2

a−b

)

sina−sinb=2cos(

2

a+b

)sin(

2

a−b

)

cosa−cosb=−2sin(

2

a+b

)sin(

2

a−b

)

(sin5x−sinx)(cos4x−cos6x)

(cosx−cos3x)(sin8x+sin2x)

=

(2cos

2

6x

sin

2

4x

)(−2sin

2

10x

sin

2

−2x

)

(−2sin

2

4x

sin

2

−2x

)(2sin

2

10x

cos

2

6x

)

=

(2cos3xsin2x)(2sin5xsinx)

(2sin2xsinx)(2sin5xcos3x)

=1

I put the line/graph on the attached file, when you draw the line make sure it goes through some of the points that I plotted.

Answer:

380 miles

Step-by-step explanation:

Let the time he travelled on the second day = t

Then the first day's time is t + 2

The first day's distance is d+20

The second day's distance is d

The second day's distance is also 60*t or d = 60*t

First day: 40*(t+2)  = d + 20

Put the second day's distance into the first day's equation

40(t+ 2) = 60t + 20       Now solve for t. Remove the brackets

40*t + 80 = 60t + 20    Subtract 20 from both sides

40t + 80 - 20 = 60t      Combine

40t + 60 = 60t              Subtract 40t from both sides

60 = 60t - 40t

60 = 20t                       Divide by 20

t = 60 / 20

t = 3

Day 2s distance = 60*3 = 180

Day 1s distance = 40*5  =200

Total                                  380

You may ask where the 20 went. It is a fact relating the distance of day 1 with day 2. No one actually travelled the 20 miles. It is just that there is a difference of 20 miles in the two distances.

Answer:

19 sin + 20 cosec

explanation

9 sin A + 10 sinA + 33 -13 cosecA

19 sin + 20 cosec

Answer:

127

Step-by-step explanation:

[(-33) + 46 + 68] - (15 - 61)

(114-33)-(-46)

81+46

127

Answer:

100000 = 8 (4) ^t

Step-by-step explanation:

We are multiplying by 4 each time

y = a (4)^t

The initial amount is 8

y = 8 (4)^t

We want to get to 100000

100000 = 8 (4) ^t

Answer:

B

8 ⋅ 4^t  = 100,000

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Of means multiply and is means equals

42% * N = 8.4

.42 N = 8.4

Divide each side by .42

N = 8.4/.42

N =20

Answer:

Step-by-step explanation:

Let the number be 'x'

42% of x = 8.4

[tex]\dfrac{42}{100}*x=8.4\\\\x=8.4*\dfrac{100}{42}\\\\x=\dfrac{840}{42}\\\\x= 20[/tex]

Answer:

5. -10/9

6. -5500/21

7. 1 39/167

8. -31/492

Answer:

13 units

Step-by-step explanation:

Using the right triangle formed by the 2 legs and the slant height s

The legs are 12 and 10 ÷ 2 = 5, with hypotenuse s

Using Pythagoras' identity in the right triangle, then

s² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )

s = [tex]\sqrt{169}[/tex] = 13