The zeros of a parabola are -5 and -3. The point (0, 60) is on the graph as represented by the equation.
60=a(0+5)(0+3)
What is the value of a?
−7.5
−4
4
7.5

To find the number of golf balls that can fit in the compartment, we calculate the volume of the compartment and then divide by the volume required to pack a golf ball. We can fit around 88 golf balls in the bag.

We first need to find the volume of the rectangular prism. The volume of a rectangular prism can be found by multiplying the length, width, and height. So, volume = 6 * 8 * 9 = 432 cubic inches.

Next, we can find the volume of a golf ball which is a sphere using the formula 4/3 * π * r³ where r is the radius of the sphere. The diameter of the golf ball is given as 1.7 inches, which means the radius is 1.7/2 = 0.85 inches. So, the volume of the golf ball = 4/3 * π * (0.85)^3 = 2.57 cubic inches (approx).

As per the question, in a random packing of spheres, 190% of the volume of the sphere is needed. Therefore, the required volume for each ball = 2.57 * 190/100 = 4.87 cubic inches. The total number of balls that will fit = volume of rectangle/volume of each ball = 432/4.87 = 88 (rounded down to a whole number). So, the answer is 88 balls.

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Answer:

1:7

Step-by-step explanation:

R = RED | B = BLUE | P = PINK | BL = BLACK | c = chips

10R + 10B + 12P = 32 chips

40c - 32c = 8 black chips

8BL - 3BL = 5 black chips

10R - 2R = 8 red chips

2R + 3BL = 5 chips

40c - 5c = 35 chips

5BL : 35c = 1:7

The probability that next one Susan removes is black chips is 1/7.

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

Total no. of chips = 40

No. of red chips = 10

No. of blue chips = 10

No. of pink chips = 12

No. of black chips = 8

If Susan were to remove 3 black and 2 red chips

So, No. of available black chips = 8 -3 = 5

No. of available red chips = 10 - 2 = 8

Total removed chips = 5

Total no. available of chips = 35

The probability that next one Susan removes is black chips = 5/35 = 1/7

Hence, the probability that next one Susan removes is black chips is 1/7.

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Answer:

10. Perimeter = 56 ft  ;  Area = 195 sq. ft.

11. If my math is correct, Perimeter = 76 km  ;  Area = 706 sq. km

12. Circumference = 100[tex]\pi[/tex] cm  ;  Area = 2500[tex]\pi[/tex] sq. cm

13. Circumference = 24[tex]\pi[/tex] ft.  ;  Area = 144[tex]\pi[/tex] sq. ft.

14. Perimeter = 62 ft.  ;  Area = 238 sq. ft.

15. Circumference = 22[tex]\pi[/tex] yd.  ;  Area = 121[tex]\pi[/tex] sq. yd.

16. Perimeter = 40 mm  ;  Area = 100 sq mm

Step-by-step explanation:

Answer:

i think it is A

Step-by-step explanation:

sorry if i am wrong...hope this helped, also can i have brainliest pls?

Answer:

I believe the answer is A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

C) 336 in2

Step-by-step explanation:

336 in 2

Area of base → 82 = 64

Area of each triangle →  

1

2

· 8 · 17 → 68

64 + 68 + 68 + 68 + 68 = 336 in2

The expected number of times that both coins will land on the same result in 250 throws is given as follows:

100 tosses.

The expected number is obtained applying the proportions in the context of the problem.

In the 10 tosses, 4 resulted in the same result for both coins, hence the proportion of the same result is given as follows:

4/10 = 0.4.

Hence, out of 250 tosses, the expected amount is given as follows:

0.4 x 250 = 100 tosses.

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Answer:

Variable expenses

Step-by-step explanation:

There are 4 types of expenses

-Variable Expenses:  Expenses that vary from month to month.

-Fixed Expenses: Expenses that remain the same from month to month.

-Intermittent Expenses: Expenses that occur at various times throughout the year and tend to be in large amounts.

Discretionary Expenses: Expenses for things we don't need

Answer:

-4

Step-by-step explanation:

Answer:

B) 80 × 5, then 400 ÷ 2

brainliest?

Answer:

c=25.12

Step-by-step explanation:

C=πd

C=3.14*8

C=25.12

Answer:

25.12ft

Step-by-step explanation:

take 8 and times that by 3.14, and you get:

25.12

Final answer:

To find the total earnings for Wanda's highest two consecutive quarters of employment, multiply her weekly unemployment compensation by the number of weeks in two quarters.

Explanation:

To find the total earnings for Wanda's highest two consecutive quarters of employment, we need to compare the given state and weekly unemployment compensation with the table provided. According to the table, the maximum weekly unemployment compensation for Oregon is $330. Since Wanda's weekly compensation is $360, it means that her state is Oregon. Now, we can find the total earnings for her highest two consecutive quarters by multiplying her weekly compensation by the number of weeks in two quarters (26 weeks).

$360 times 26 (*) = $9360

Therefore, the total 26-week earnings for Wanda's highest two consecutive quarters of employment is $9360.

Answer:

The diagonal * the other diagonal, all divided by two.

Step-by-step explanation:

A kite in other words is a rhombus. To find the area of a rhombus we need to multiply 1/2 * p * q

Where p is one diagonal and q is the other.

Step-by-step explanation:

[tex] \sf \:a = \dfrac{pq}{2}[/tex]

The area of a kite is half the product of the lengths of its diagonals.

Answer:

1 1/3 pound (1 pound and 1/3)

Step-by-step explanation:

u just but it in a fraction

4/3

and simplify to mixed number

1 1/3

Answer:

4/3 = 1.33

Step-by-step explanation:

Since you will be dividing the amount of kibble, the equation is 4 pounds / 3 bowls. 3/4 would be dividing the bowls and that would make no sense at all. Therefore the answer is 1.33 pounds per bowl.

Answer:

4/6

Step-by-step explanation:

Answer:

(4,-3)

Step-by-step explanation:

Answer:

(4,-3)

Step-by-step explanation:

Moving 6 units to the right would only affect the x coordinate. Sinceinc we are moving to the right, there is a positive increase in the x coordinate.

-2+6=4

So our new point is (4,-3)

Answer:

18a + 12x - 12a + 15x

6a + 27x

the answer is a

Step-by-step explanation:

Answer:

Kite, Parallelogram, and Rectangle.

Step-by-step explanation:

BTW, you spelled Urgent wrong.

The answers are, Kite, Parallelogram, and Rectangle.

Answer:

Kite, Parallelogram, and Rectangle.

Step-by-step explanation:

BTW, you spelled Urgent wrong.

The answers are, Kite, Parallelogram, and Rectangl

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

150% = 1.5

so 150% of 3 = 1.5 × 3 = 4.5

Answer:

Step-by-step explanation:

Unit price = Total price

                     number of items

= 4.14/9

= $0.46

Answer:

  [tex]b>3\frac{2}{15}[/tex]

Step-by-step explanation:

You can multiply by 15, add 8, divide by 15. (Or, you could get there directly by adding 8/15 to both sides.)

  [tex]2\frac{3}{5}<b-\frac{8}{15}\\\\39<15b-8\\\\47<15b\\\\\boxed{3\frac{2}{15}<b}[/tex]

Answer:

D; b > 3 2/15

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

the radical root symbol and long division symbol look different, and have different purposes. radical root symbol - √. the long division has so less angles.

Answer:

Probability=  No. of favorable outcomes/ total no. of outcomes

= 4/6 Since below 5 will be 4

and we need to simplify= 2/3

Step-by-step explanation:

Answer: the answer is 1/6

Step-by-step explanation:

Answer:

GCF: 4 LCM:60

Step-by-step explanation:

Answer:

gcf-6, lcm-60

Step-by-step explanation:

factors of 20: 1, 2, 4, 5, 10, 20

factors of 12: 1, 2, 3, 4, 6, 12

multiples of 20: 20, 40, 60, 80, 100

multiples of 12: 12, 24, 36, 48, 60, 72

Graphing an inequality involves drawing a number line, marking the critical value, here -5, with an open circle because it's not included in the solution, and indicate with an arrow every number greater than -5, as these are the solutions to the inequality.

To graph m > -5 on a number line, you first need to draw a straight line, representing the number line. Mark -5 on the line. Since the inequality is 'greater than' (-5), you will have an open circle at -5. The open circle indicates that -5 is not included in the solution. The solutions for the inequality are all values to the right of -5, so you would draw an arrow pointing towards the right from the open circle. This demonstrates that all numbers greater than -5 are the solution to the inequality.

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Answer:

Ten times the minutes spent exercising is 10t.

Step-by-step explanation:

Given : Expression 'ten times the minutes spent exercising'.

To find : Write the expression in algebraic form ?

Solution :

Let  t  represent the number of minutes spent exercising.

Here, "ten times the minutes spent exercising "  

Ten time means multiplying value by 10,

So the algebraic expression is '10t'.

Therefore, ten times the minutes spent exercising is 10t.

Answer:

Step-by-step explanation:

1) 4x + 3 <= 3x - 5

Subtract 3 from both sides

4x + 3-3  <= 3x - 5 -3

4x  <= 3x - 8

Subtract 3x form both sides

4x - 3x <= 3x -3x - 8

x <= -8

Answer:

CHALLENGE ACCEPTED!!

Step-by-step explanation:

4x + 3 ≤ 3x - 5

4x - 3x ≤ -5 -3

x ≤ -8

sorry, cant draw the number line but hope the solution helps.

-2x > 6

-2x ÷ -2 > 6 ÷- 2

x > -3

1/8(3x - 16) < 4

3/8x - 2 < 4

3/8x < 4 + 2

3/8x < 6

x = 16

x - 3/2 ≥ -5

x - 3 ≥ -5 × 2

x - 3 ≥ -10

x ≥ -10 + 3

x ≥ 7

Answer:

b. 1/2, -1/2

Step-by-step explanation:

[tex]\frac{-4+5}{2}, \frac{2+(-3)}{2} =(\frac{1}{2} ,\frac{-1}{2}[/tex]  )

Answer:

B) 40 games won

Step-by-step explanation:

5+3=8

64 /8 = 8

8×5 = 40 games one

Answer:

im sorry if this is late but the answer is 34x2. goodluck :D

Step-by-step explanation:

I took the test

34x² represents the area of the shaded region. Option b is correct.

Two concurrent rectangle are given dimension of smaller rectangle is 9x and 6x. larger rectangle has offset of x with smaller rectangle. So the dimension of the larger rectangle is 9x+2x and 6x+2x . space between the rectangle is shaded and area of the shaded portion to be determine.

rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.

Now the area of the shaded portion,
= area of larger rectangle - area of smaller rectangle
= 11x*8x  -  9x*6x
= 88x - 54x
= 34x

Thus, 34x² represents the area of the shaded region.

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Answer:

a. 40/250

b. 70/250

c. Preferring diet soda and preferring hamburgers are not independent events

d.  Preferring regular soda and preferring hot dogs are not independent events

Step-by-step explanation:

We are given:

                      Regular Soda    Diet Soda    Total

Hamburgers             90                 40            130

Hot Dogs                   70                 50           120

Total                          160                90          250

a. The probability that someone who prefers diet soda will also prefer hamburgers can be calculated as:

No. of people who prefer hamburgers and diet soda / Total no. of people

40/250

b. The probability that someone who prefers hot dogs will also prefer regular soda can be calculated as:

No. of people who prefer hot dogs and regular soda/Total no. of people

70/250

c. For two events to be independent, they must fulfill the condition:

P(A and B) = P(A) * P(B)

P(Diet Soda) = No. of people who prefer diet soda/total no. of people

                     = 90/250

P(Hamburgers) = No. of people who prefer hamburgers/total no. of people

                     = 130/250

P(Diet Soda and Hamburgers) = 40/250

Now, we need to check:

P(Diet Soda and Hamburgers) = P(Diet Soda) * P(Hamburgers)

40/250 = 90/250 * 130/250

40/250 ≠ 11700/62500

So, we can conclude that these two events are not independent events.

d. P(Regular Soda) = No. of people who prefer regular soda/total no. of people

                     = 160/250

   P(Hot dogs) = No. of people who prefer hot dogs/total no. of people

                     = 120/250

P(Regular Soda and Hot Dogs) = 70/250

Now, we need to check if:

P(Regular Soda and Hot Dogs) = P(Regular Soda) * P(Hot dogs)

70/250 ≠ 160/250 * 120/250

So, these two events are not independent.

The solutions obtained are Part (a): The probability is 0.444, Part (b): The probability is 0.583, Part (c): Preferring diet soda and preferring hamburgers are not independent and Part (d): Preferring regular soda and preferring hot dogs are not independent.

Probability and Independence Analysis

Let's analyze the data provided from Manuela and Stephen's survey:

Regular Soda Diet Soda Total

Hamburgers 90 40 130

Hot Dogs 70 50 120

Total         160 90 250

→ Part A: Probability that Someone Who Prefers Diet Soda Also Prefers Hamburgers

The number of people who prefer diet soda is 90, and among them, 40 prefer hamburgers. Therefore, the probability is calculated as follows:

P(Hamburgers|Diet Soda) = 40 / 90

                                          ≈ 0.444

→ Part B: Probability that Someone Who Prefers Hot Dogs Also Prefers Regular Soda

The number of people who prefer hot dogs is 120, and among them, 70 prefer regular soda. Therefore, the probability is:

P(Regular Soda|Hot Dogs) = 70 / 120

                                            ≈ 0.583

→ Part C: Independence of Preferring Diet Soda and Preferring Hamburgers

To determine if these events are independent, we check if:

P(Diet Soda AND Hamburgers) = P(Diet Soda) * P(Hamburgers)

Calculations:

→ P(Diet Soda AND Hamburgers) = 40 / 250

→ P(Diet Soda) = 90 / 250

→ P(Hamburgers) = 130 / 250

→ P(Diet Soda AND Hamburgers) ≠ P(Diet Soda) * P(Hamburgers)

Since the equality does not hold, these events are not independent.

Part D: Independence of Preferring Regular Soda and Preferring Hot Dogs

We test the same independence condition for regular soda and hot dogs:

→ P(Regular Soda AND Hot Dogs) = P(Regular Soda) * P(Hot Dogs)

Calculations:

→ P(Regular Soda AND Hot Dogs) = 70 / 250

→ P(Regular Soda) = 160 / 250

→ P(Hot Dogs) = 120 / 250

→ P(Regular Soda AND Hot Dogs) ≠ P(Regular Soda) * P(Hot Dogs)

Therefore, these events are also not independent.