Which of the following statements describes the process for solving 4x ≥ -24?

Divide both sides of the inequality by 4 and flip the symbol.
Divide both sides of the inequality by -24 but don't flip the symbol.
Divide both sides of the inequality by 4 but don't flip the symbol.
Divide both sides of the inequality by -24 and flip the symbol.

Answer:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice

Step-by-step explanation:

We can easily obtain the answer by converting all the volumes to the same unit and comparing each of them, to see if they can make up to a gallon.

1). 6 pints apple juice and 6 cups cranberry juice

Let us convert pints and cups to gallons

1 pint = 0.125 gallons

6 pints = 6 X 0.125 = 0.75 gallons

1 cup = 0.0625 gallons

6 cups = 6 X 0.0625 =0.375 gallons

Total juice got from here is 0.75 +0.375 = 1.125gallons.

This cannot fit into the one-gallon pitcher as it is more in volume than a gallon.

2) 2 quarts apple juice and 8 cups cranberry juice.

2 quarts = 0.5 gallons

8 cups = 0.5 gallons.

Total juice got here is 0.5 + 0.5 = 1 gallon.

This can fit into the 1-gallon pitcher

3). 5 pints of apple juice and 2 quarts of cranberry juice

5 pint = 0.625 gallons

2 quarts = 0.5 gallons

Total juice got here is 0.625+ 0.5 = 1.125 gallon

This cannot fit into the 1-gallon pitcher

4). 9 cups of apple juice and 3 pints of cranberry juice

9 cups = 0.5625 gallons.

3 pints = 0.375 gallons

Total juice got here is 0.5625 + 0.375 = 0.9375 gallons.

This can fit into the 1-gallon pitcher because it is of less volume.

Hence, only these combination of drinks can fit into the 1-gallon pitcher:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice

Answer:

Step-by-step explanation:

This is a cube so the formula for the volume of a square is a³ = Volume

This means:

5³ = V

V = 125in³

Answer:

125 in^3

Step-by-step explanation:

b/c

v=L×w×h

V=5 in×5 in×5 in

v=125 in^3

Answer:

4 maybe

Step-by-step explanation:

If you do x2 +13x+ 36

you get

(x+9)x(x+4)

Answer:

Step 1:

What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)

        0=a(4-24)^2+50

       -50=a(4-24)^2

        4-24

       -20^2=400

        -50=a(400)

       -50=400a

         -50/400=-0.125

         a = -0.125

B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.

Step 2: Solve for coefficient a.

a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

                                               f(x) = a(x-h)^2 +k

b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

Not sure about this one...?

c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

f(x)=-12/25(x-25)^2+32

The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32

The graph that completes the question is added as an attachment

These are the vertex and the intercepts of the graph.

The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.

From the graph, we have:

A quadratic function is represented as:

y = a(x - h)^2 + k

Where:

vertex = (h,k)

So, we have:

y = a(x - 25)^2 + 32

Substitute the value of the x-intercept

0 = a(15 - 25)^2 + 32

Subtract 32 from both sides

a(15 - 25)^2 = -32

Solve for a

a = -0.32

Hence, the value of the coefficient a is -0.32

So, the equation in vertex form is y = -0.32(x - 25)^2 + 32

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Answer:

Add 3 each time. (for question #8)

Step-by-step explanation:

9+3=12

12+3=15

15+3=18

18+3=21

21+3=24

24+3=27

.

.

.

Answer:

x=22

Step-by-step explanation:

Label the intersection point between K and J as H. Similarly, label the intersection point between K and L as M.

The triangle proportionality theorem states that HK/JK=MK/LK.

Substitute the values into the equation above. HK=36-6=30. LK=2x-4+8=2x+4.

30/36=2x-4/2x+4

Now, solve:

30(2x+4)=36(2x-4)

60x+120=72x-144

12x=264

x=22

Answer:

Step-by-step explanation:

Step-by-step explanation:

...x=+2...

...y=-3...

Answer:

1. Y=2

2.A=1.3

5.p=28/3

Step-by-step explanation: make me brainliest

Answer:

inequality form

[tex]x \geqslant - 3[/tex]

Answer:

25920

Step-by-step explanation:

you do lxwxh

Answer:

there are 20 boys and 12 girls

Answer:

5 miles

Step-by-step explanation:

10 miles in 2 hours

so the half in 1 hour; 5 miles

Answer:

-14

Step-by-step explanation:

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

This is an interesting question, since I have to think I have ever seen a question like this asked before.

    3x³ - 5x + k   i'll try dividing by x-2  and adjust k so there is no remainder

                           3x² + 6x + 7

       x-2   |  3x³ + 0x² - 5x + k

                 3x³ - 6x

                          6x² -  5x

                          6x² - 12x

                                   7x  + k

                                   7x  - 14

                                            0    remainder is 0 if k = - 14

when I graphed   3x³ - 5x -14   and   (x-2)(3x² +6x +7)  the graphs were equivalent

The salesperson will have a commission of $262.5 and earn $612.5 in one week if he sold $750 worth of merchandise.

We first calculate the 35% commission on the $750 sales of merchandise, and then add the result to his weekly earning of $350.

35% commission on $750 = (35 × $750)/100

35% commission on $750 = $2625/100

35% commission on $750 = $262.5

salesman's earning for the week = $350 + $262.5

salesman's earning for the week = $612.5

In conclusion, the salesman will earn $612.5 if he sold $750 worth of merchandise in one week, which is the sum of his $350 per week earning and the 35% commission.

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Answer:

sqrt(26) units

Step-by-step explanation:

Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d is the distance, and (x1, y1) and (x2, y2) are the points.

d=sqrt((4-(-1))^2 + (2-3)^2)

 =sqrt(5^2 + (-1)^2)

 =sqrt(25+1)

 =sqrt(26)

Answer:

SAS is the answer in my opinion

Answer:

-27

Step-by-step explanation:

order of operations 2÷2 = 1 +53 =54

3x1 = 3 -5 = -2

54÷-2 = -27

Answer:

C) 12.56

two times 3.14 times the radius.

Answer:

[tex]\huge \orange {\boxed {a =202\degree}} [/tex]

[tex] \huge \purple {\boxed { b = 158\degree}} [/tex]

[tex]\huge \red {\boxed {m\angle SOV = 158\degree}} [/tex]

Step-by-step explanation:

In [tex] \odot[/tex] O, ST and VT are tangents at points S and V respectively.

[tex] \therefore OS\perp ST, \:and\: OV\perp VT[/tex]

[tex] \therefore m\angle OST=m\angle OVT = 90\degree [/tex]

In quadrilateral OSTV,

[tex] m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree [/tex]

(By interior angle sum postulate of a quadrilateral)

[tex] m\angle SOV +90\degree +90\degree +22\degree = 360\degree [/tex]

[tex] m\angle SOV +202\degree = 360\degree [/tex]

[tex] m\angle SOV = 360\degree-202\degree [/tex]

[tex]\huge \red {\boxed {m\angle SOV = 158\degree}} [/tex]

[tex] \because b = m\angle SOV[/tex]

(Measure of minor arc is equal to measure of its corresponding central angle)

[tex] \huge \purple {\boxed {\therefore b = 158\degree}} [/tex]

[tex] \because a + b= 360\degree [/tex]

(By arc sum property of a circle)

[tex] \therefore a = 360\degree - b[/tex]

[tex] \therefore a = 360\degree -158\degree[/tex]

[tex]\huge \orange {\boxed {\therefore a =202\degree}} [/tex]

Answer:

11 cans

Step-by-step explanation:

1 hr = 60 min

33 hrs = ? min

Setup proportion and solve for x:

[tex]\frac{1hr}{60 min} =\frac{33hrs}{xmin}[/tex]

Do butterfly method and get x = 1980 minutes

Then take the 1980 divide it by 180 to find the number of cans.

[tex]\frac{1980}{180} =11[/tex]

Answer:

85.5 miles

Step-by-step explanation:

From the attached diagram, distance between the two rest stops :

Rest stop A to Rest stop B = 2 1/4 inches

Scale factor :

1 in = 38 miles

Acrual distance would be :

2 1/4 inches would be :

2 1/4 * 38 miles

9/4 * 38 = 85.5 miles

Answer: Rosie biked 9.6 miles per week because you do 2 2/5 times 4. 2 2/5 becomes 12/5 and you just times it by 4.

Hope it helps! :D

Answer:

answer is 18

Step-by-step explanation:

.................

Answer:

11

Step-by-step explanation:

It may not be correct

Answer:

79.7

Step-by-step explanation:

average = 20x75=1440

wrong average68+86=154

correct average 1440+154/20=79.7

hope this is correct.

Step-by-step explanation:

[tex]\sqrt{1/8}[/tex]=[tex]\sqrt{1} /\sqrt{8}[/tex]

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

[tex]1/(2\sqrt{2} )[/tex]

if the denominator is a root then multiply itself by itself to get an integer

[tex]1(2\sqrt{2} )/((2\sqrt{2})(2\sqrt{2} ))[/tex]

[tex]\sqrt{2} /4[/tex]

Hope that helps :)

Answer:

hello :  

(g/f)(3) = g(3)/f(3)

but : g(3) =3(3)+2 = 11

f(3) 2(3)-4 = 2

g/f)(3) = 11/2

Answer:

d = 0.4

Step-by-step explanation:

3/2 + 1/2 = 5d - 1/2 + 1/2

2 = 5d

2 ÷ 5 = 5d ÷ 5

0.4 = d

d = 0.4