Hector is mixing fruit punch in a 40-cup punch bowl for a party. He plans to
add at least 24 cups of fruit juice to the bowl before adding ginger ale.
Identify the graph that represents the amounts of fruit juice and ginger ale he
can use, and then identify a valid solution. (The graph shows the overlapping
solution region only, not the shading for each inequality.)

Answer:

$145.5

Step-by-step explanation:

Period, t = August 8.to November 8 = 3 months

Simple interest formula :

A = P(1 + rt)

A = final amount =. 7200

7200 = P(1 + (0.0825 * 3/12))

7200 = P(1 + 0.020625)

7200 = P(1.020625)

7200 = 1.020625P

P = 7200 / 1.020625

P = 7054.5009

Bank discount :

A - P

7200 - 7054.5009

= $145.4991

= $145.5

Answer:

5

Step-by-step explanation:

The ones place is the one most to the right that isn't after a decimal point.

Answer:

5, since it is all the way to the right

Step-by-step explanation:

if you ever have a big number, the number in thes ones place is ALWAYS on the far right, except if its a decimal !

i hope this helps !! :D

Answer:

[tex](b^4)^2 = b^{8}[/tex]

Step-by-step explanation:

Given

[tex](b^4)^2[/tex]

Required

Simplify

In indices, we have:

[tex](a^m)^n = a^{m*n[/tex]

So:

[tex](b^4)^2 = b^{4*2}[/tex]

[tex](b^4)^2 = b^{8}[/tex]

Answer:

124

Step-by-step explanation:

If you are talking about angles, then the answer is 124 degrees. Question is a little open, though.

I hope this helps!

Answer: B

Step-by-step explanation: An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs.

It be 12 cause from the smaller one 2*4 would = to 8 and 5*4 also = to 20 so 3*4 = to 12.

Answer:

162 ft^2

Step-by-step explanation:

the formula for finding the area of a triangle is [tex]\frac{b*h}{2}[/tex]

the base is 27 and the height is 12

[tex]\frac{27*12}{2}=\frac{324}{2} = 162[/tex]

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface areas and Volumes.

Since, we know that the lateral area of a Right circular cone is given as,

AL = πrl

here, l = slant height , r = radius of the circular base.

so now, we have to find first slant height to get the lateral surface area,

[tex]l \: = \sqrt{ {r}^{2} + {h}^{2} } [/tex]

here, r = 8 cm and h = 15,

hence,

[tex]l \: = \sqrt{64 + 225} = \sqrt{289} = 17cm[/tex]

hence, now we apply the formula,

AL = π(8) (17) cm^2

===> AL = 136 π cm^2

Answer:

b is the independent variable

c is the dependent variable

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  r = √(A/π)

Step-by-step explanation:

Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.

  A = πr²

  A/π = r²

  r = √(A/π)

Answer:

x = 5 (please read the step by step explanation)

Step-by-step explanation:

So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.

15x = 12x + 15

Same to both sides:

3x = 15

Isolate x:

x = 5

Just plug in those values and you'll be good to go! Have a good day!

Answer:

the answer to that is -1i

Step-by-step explanation:

cause if you add negative and positve you get to subtract it and get the sign of the highest number

Answer:

$67

Step-by-step explanation:

So 5x12+7=C

PEDMAS so:

5x12 = 60

60+7 = 67

67 = C

Answer:

20% antifreeze solution = 18 gal

15% antifreeze solution = 12 gal

Step-by-step explanation:

Let

20% antifreeze solution = x

15% antifreeze solution = y

x + y = 30

0.20x + 0.15y = 30 * 0.18

0.20x + 0.15y = 5.4

x + y = 30 (1)

0.20x + 0.15y = 5.4 (2)

From (1)

x = 30 - y

Substitute x = 30 - y into (2)

0.20x + 0.15y = 5.4 (2)

0.20(30 - y) + 0.15y = 5.4

6 - 0.20y + 0.15y = 5.4

- 0.20y + 0.15y = 5.4 - 6

-0.05y = -0.6

y = -0.6/-0.05

y = 12 gal

Substitute y = 12 into (1)

x + y = 30 (1)

x + 12 = 30

x = 30 - 12

x = 18 gal

20% antifreeze solution = 18 gal

15% antifreeze solution = 12 gal

Answer:

what is

Step-by-step explanation:

the the 3 4 4

Answer:

1-50

Step-by-step explanation:

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, -2)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

He made 35% of his shots he did not make 65& of his shots

Step-by-step explanation:

7/20=35%, 20/7=65%

Answer:

-23.48

Step-by-step explanation:

Hoped this helped!!

Answer:

y = 1/2x

Step-by-step explanation:

y - 2 = 1/2 (x-4)

y = 1/2x - 2 + 2

y = 1/2x

(The y - intercept is 0 because -2 and 2 cancels each other out)

Hope this helps :)

Let me know if there are any mistake!!

The slope intercept form of the equation y - 2 = 1/2 (x - 4) will be

⇒ y = 1/2x

What is equation of line?

The equation of line in slope intercept form is defined as;

y = mx + b

Where, 'm' is slope of line and 'b' is y-intercept.

Given that;

The equation of line is;

y - 2 = 1/2 ( x - 4 )

Now,

We can change the equation of line in slope intercept form as,

y - 2 = 1/2 ( x - 4)

Solve as;

y - 2 = 1/2 x - 1/2 × 4

y - 2 = 1/2 x - 2

Add 2 both side,

y - 2 + 2 = 1/2 x - 2 + 2

y = 1/2 x

Thus, The slope intercept form of the equation y - 2 = 1/2 (x - 4) will be;

⇒ y = 1/2x

Learn more about the equation of line visit:

https://brainly.com/question/18555692

#SPJ5

Answer:

Step-by-step explanation:

C - 3(2^x).

Answer:

0.48

Step-by-step explanation:

Given the data:

X:

10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98

Sum of each of the numbers :

1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17

Probability that sum of the number's digit is odd:

Number of odd sum / total numbers

Number of odd sum = 12

Total numbers = 25

12 / 25

= 0.48

Answer:

26. ∠ABC=44

27. ∠ABC=86

28. ∠ABC=116

Step-by-step explanation:

Since BD bisects ∠ABC in each diagram, ∠ABD=∠DBC.

26.

∠ABD=∠DBC

5x+2=7x-6

2x=8

x=4

∠ABC=∠ABD+∠DBC

=5(4)+2+7(4)-6

=20+2+28-6

=44

27.

∠ABD=∠DBC

11x-12=8x+3

3x=15

x=5

∠ABC=∠ABD+∠DBC

=11(5)-12+8(5)+3

=55-12+40+3

=86

28.

∠ABD=∠DBC

9x-23=5x+13

4x=36

x=9

∠ABC=∠ABD+∠DBC

=9(9)-23+5(9)+13

=81-23+45+13

=116

Total number of Marbles is = 5 + 8 + 7 = 20

Total number of non-red marbles = 5 + 7 = 12.

P( Not yellow) 12/20 = 3/5.

Answer:

3/5

Step-by-step explanation:

Answer:Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

Step-by-step explanation:

Answer:

m = -100

Step-by-step explanation:

(1/5)m -12 = -32

add 12 on both sides

(1/5)m = -20

multiply both sides by 5

m = -100

Answer:

m = -100

Step-by-step explanation:

So in order to solve this equation we are going to have to convert 1/5m to a decimal, this will make it easier to solve the equation:

1/5m = 0.2m

Next we are going to take our 0.2m and place it within the equation where 1/5m is:

⅕m - 12 = -32  or 0.2m - 12 = -32

So now we are going to add 12 to both sides of the equal sign in the equation to segregate the 0.2m within the equation:

0.2m - 12 = -32  or 0.2m + (-12 + 12) = (-32 + 12)

making the equation look like this:

0.2m = -20

now we are going to divide 0.2 from both 0.2m and -20 to get the value of m:

0.2m/0.2 = -20/0.2

Thus getting the answer:

m = -100

So how do we know that -100 is the value of m? well we check our work of course by substituting -100 in place of m!

⅕(-100) - 12 = -32  or 0.2(-100) - 12 = 32

0.2(-100) - 12 = 32

-20 - 12 = -32

-32 = -32

Answer:

y< −x/3 −2

Step-by-step explanation:

I hope this is what you need if not let me know and ill edit the answer

Answer:

The factors are [tex]2v+3,2v+3[/tex].

The factors are not [tex]4v+3,4v+3[/tex]

Step-by-step explanation:

Equation is [tex]4v^2=-12v-9[/tex].

This equation can be written as follows:

[tex]4v^2+12v+9=0[/tex]

Here,

[tex]12v=6v+6v[/tex]

Therefore,

[tex]4v^2+6v+6v+9=0\\2v(2v+3)+3(2v+3)=0\\(2v+3)(2v+3)=0[/tex]

So, the factors are [tex]2v+3,2v+3[/tex].

The factors are not [tex]4v+3,4v+3[/tex]