How many cubic inches of plastic needed to fill the mold?

Answer:

4 shelfs are needed

Step-by-step explanation:

24/6= 4

The value of f(-3) will be zero

Step-by-step explanation:

Given ordered pair of function f is:

(7,0) )(-3,0) (2,0)(9,0)

The general form of ordered pair is (x,y) where x is the element of domain of function and y is the respective range value i.e. x is input and y is output

So,

In order to find the value of f(-3) we have to observe which ordered pair has -3 as input i.e. as first element of ordered pair

The required ordered pair is: (-3,0)

In the required pair, -3 is the input and 0 is the respective output

So,

The value of f(-3) will be zero

Keywords: Domain, Range

Learn more about functions at:

#LearnwithBrainly

Answer:

40

Step-by-step explanation:

Use Pythagorean Theorem to find the 3rd side, which will be 17. Then add all of the sides and you'll get the answer.

I'm not 100% sure about part A, but it looks like a regular hexagon is being constructed. Though some marks seem to be missing. Again I'm not fully certain.

But I'm sure about parts B and C.

For part B, this is showing the construction of the perpendicular bisector to segment AB. The perpendicular bisector is perpendicular to the given segment and it cuts the given segment AB in half.

In part C, a line is being constructed to go through point R such that it is parallel to line PQ.

Answer:

The answer is C) (6, -2).

Step-by-step explanation:

First, subtract both sides by y in the first equation, to figure out what x is.  

x+y-y=4-y

x=4-y

x is equal to 4-y. Use substitution to plug that in to the second equation for x.

2x-3y=18

2(4-y)-3y=18

Now, solve for y. Expand.

2(4-y)-3y=18

8-2y-3y=18

Combine like terms.

8-2y-3y=18

8-5y=18

To get y by itself, subtract 8 from both sides.

8-8-5y=18-8

-5y=10

Lastly, divide both sides by -5.

-5/-5y=10/-5

y=-2

Since we know that y is equal to -2, we can solve for x in the equation x=4-y.

x=4-y

x=4-(-2)

*Negative & Negative makes a Positive*

x=6

Therefore, your answer is x being equal to 6, and y being equal to -2.

Hope this helped!

Final answer:

To solve the system of linear equations, we first solve one equation for a variable and then substitute it into the other. Through simplification and combination of like terms, we find that the solution is (6, -2), which is option C.

Explanation:

The subject question involves solving a system of linear equations. We are given the first equation, x + y = 4, and the second equation, 2x - 3y = 18. To find the solution, we will use the method of elimination or substitution to solve for the values of x and y.

Step-by-Step Solution

Solve the first equation for y: y = 4 - x.

Substitute y in the second equation: 2x - 3(4 - x) = 18.

Simplify: 2x - 12 + 3x = 18.

Combine like terms: 5x = 30.

Divide by 5: x = 6.

Substitute x in the first equation: 6 + y = 4.

Solve for y: y = -2.

The solution to the system of equations is (6, -2), which corresponds to option C.

Answer: Last option.

Step-by-step explanation:

By definition, Inverse variation equations  have this form:

[tex]y=\frac{k}{x}[/tex]

Where "k" is the constant of variation.

In this case, it is:

[tex]g(n)=\frac{k}{n}[/tex]

Knowing that [tex]g(n) = 8[/tex] when [tex]n = 3[/tex], we can substitute values into the equation and solve for "k":

[tex]8=\frac{k}{3}\\\\8*3=k\\\\k=24[/tex]

Therefore, we can find the value of "n" when [tex]g(n) = 6[/tex] by substiuting this value and the value of "k" into the equation and solving for "n". Then:

[tex]6=\frac{24}{n}\\\\6n=24\\\\n=\frac{24}{6}\\\\n=4[/tex]

the answer is 100....... ...

Answer:

Perimeter of trapezoid ABEF= 16x +4

Step-by-step explanation:

Since it is an equilateral triangle

AC = BC = BC = 7x - 2

Point E and F is formed at mid point of line AC and BC respectively.

Therefore AE = 1/2 x AC and BF = 1/2 x BC

Perimeter of trapezoid ABEF = AB + EF + AE + BF

AB = 7x - 2

EF = 2x + 8

AE = (7x - 2)/2

BF = (7x - 2)/2

Perimeter = 7x - 2 + 2x + 8 + (7x - 2)/2 + (7x - 2)/2

= 7x - 2 + 2x + 8 + 7x - 2

= 7x + 2x + 7x - 2 + 8 - 2

Perimeter of trapezoid ABEF= 16x + 4

There is no illustration, so it is impossible to answer this question. I apologize.

Answer: $480.

Step-by-step explanation:

1 year = 12

2 years = 24

$20 × 24 = $480

Answer:

$480

Step-by-step explanation:

so there is 12 months in a year but 2 years is 24 months so just do 24 times the 20 dollars on book for each month and you get that he spends $480 in 2 years

(24 times 20=$480)

Answer: 7(1+2x)

Step-by-step explanation:

7 and 14 can be divided by 7. As a result, you take 7 out and bam!

Answer:

a = 3

Step-by-step explanation:

b = 3

10*3 = 30

45-30 = 15

15/5 = a

a = 3

Answer:

15

Step-by-step explanation:

5a-10(3)=45

5a=45+30

5a=75

a=15

Answer: 3 and 2/3

Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.

Notice here however that we have 1/3 - 2/3 which will gives us a negative fraction. Since this will cause us a lot of trouble, instead, we can rewrite the first mixed number. We can do this by thinking of 6 and 1/3 as 5 + 1 and 1/3 or as 5 + 4/3 by changing 1 and 1/3 into an improper fraction.

So 6 and 1/3 can be written as 5 and 4/3.

Now we have 5 and 4/3 - 2 and 2/3.

Now, subtract the fractions.

So we have 4/3 - 2/3 which is 2/3. Then subtract the whole numbers. 5 - 2 is 3 and now we have the mixed number 3 and 2/3 which is in lowest terms.

Therefore, 6 and 1/3 - 2 and 2/3 = 3 and 2/3.

Since both fractions have common denominators we can just put them into improper fractions.

6 1/3 = 19/3

2 2/3 = 8/3

Now, we can subtract. (When you add or subtract fractions you only add or subtract the numerators, never the denominators.)

19/3 - 8/3 = 11/3

Turn into mixed number.

11/3 → 3 2/3

______

Best of Luck,

Wolfyy :)

Answer:

x = 3 , y = 5

Step-by-step explanation:

Solve the following system:

{3 y - 7 x = -6 | (equation 1)

3 y - 3 x = 6 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+(12 y)/7 = 60/7 | (equation 2)

Multiply equation 2 by 7/12:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{-(7 x)+0 y = -21 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 3 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = 3 , y = 5

Answer:

(3, 5)

Step-by-step explanation:

−7x + 3y = −6

−3x + 3y = 6

Subtract the second equation from the first.

−4x = −12

x = 3

Then substitute. → −7x + 3y = −6 → −7(3) + 3y = −6

y = 5

Answer:

They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Step-by-step explanation:

Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.

With respect to this reference,

the position of top most point is +17 [tex]\frac{3}{4}[/tex] yards

and the position of lower most point is -13 [tex]\frac{1}{4}[/tex] yards

⇒ The position of midpoint is [tex]\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}[/tex]

                                              = +2 [tex]\frac{1}{4}[/tex]

∴ They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Answer: 6 goes into 26 4 times.

Step-by-step explanation:

Because 6 * 10 is 60, we know that it cannot be more than 10.

5 * 6 = 30, so we know it cannot be more than 5.

6 * 4 = 24. Because we cannot add 6 more, we know that 24 is the highest we can go.

Answer:

4 with remainder of 2

Step-by-step explanation:

26/6=4 2/6=4 1/3

Answer:

The group lose each day 8.8 pounds.

Step-by-step explanation:

Given:

Fitness club members lose a combined total of 28 kilograms in 1 week.

There are approximately 2.2 pounds in 1  kilogram.

The weight loss happened at a constant rate.

Now, to find the pounds of weight the group lose in each day.

In 1 week the group lose = 28 kilograms.

So, in 1 day the group lose [tex]=28\div 7 kilograms[/tex]  (1 week = 7 days)

                                            [tex]=4 kilograms.[/tex]

According to question:

1 kilogram = 2.2 pounds.

So, 4 kilograms [tex]= 2.2\times 4 = 8.8 pounds.[/tex]

Therefore, the group lose each day 8.8 pounds.

Answer:

x = 11

Step-by-step explanation:

Given

9x - 43 = 5x + 1 ( subtract 5x from both sides )

4x - 43 = 1 ( add 43 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

The pebble hits the ground approximately 8.88 seconds after it is thrown, based on the given equation for its height.

To find out when the pebble hits the ground, we need to find the time when the height h(t) equals 0.

Given that the height h(t) of the pebble after t seconds is given by the equation:

[tex]\[ h(t) = -16t^2 + 16t + 1400 \][/tex]

We set h(t) to 0 and solve for t:

[tex]\[ -16t^2 + 16t + 1400 = 0 \][/tex]

Now, we can use the quadratic formula to solve for t :

[tex]\[ t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]

where a = -16, b = 16, and c = 1400.

Plugging these values into the quadratic formula:

[tex]\[ t = \frac{{-16 \pm \sqrt{{16^2 - 4(-16)(1400)}}}}{{2(-16)}} \]\[ t = \frac{{-16 \pm \sqrt{{256 + 89600}}}}{{-32}} \]\[ t = \frac{{-16 \pm \sqrt{{89856}}}}{{-32}} \]\[ t = \frac{{-16 \pm 300.1}}{{-32}} \][/tex]

We'll ignore the negative solution because time can't be negative in this context. So, we use the positive solution:

[tex]\[ t = \frac{{-16 + 300.1}}{{-32}} \]\[ t = \frac{{284.1}}{{-32}} \]\[ t \approx -8.88 \][/tex]

Since time can't be negative, we discard this solution. The only meaningful solution is when the pebble hits the ground. Thus, the pebble hits the ground approximately 8.88 seconds after it is thrown.

Answer:

4.03

Step-by-step explanation:

Y = kx

y = 24.18

x = 6

k = constant of proportionality

Y =kx

Step 1. Substitute number based on the formula

24.18 = k6

Step 2. Transpose Y to the left to find the ratio of constant proportionality

K = 24.18/6

Step 3. Divide Y over X

K = 4.03 (answer)

Answer:

Let the worth of the property be x

0.8x/100 = 2068

8x = 2068000

x = 258500 Rs.

Hope this helps!

Answer:

80 words. 4/5 of 100 is 80

Step-by-step explanation:

Answer: 80

5th of a minute is 12 seconds so 4/5 equals 48 seconds.

100 words per minute equals 1.66666667 words per second ( 100 divided by 60)

So 1.66666667 X 48 = 80)

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 5.2h-2.9d-16

Answer:

4 times 7 time 4 = 112

Check the picture below.

Dimensions of rectangular garden is: length = 39 feet and width = 18 feet

Given that length of the rectangle garden is three more than twice its width.

The perimeter of the garden is 114 feet

Need to determine width of the garden

Let assume width of the garden be represented by variable "x"

=>Twice of the width = [tex]2 \times x = 2x[/tex]

=> 3 more than Twice of the width= 3 + 2x = 2x + 3

As length of the rectangle garden is three more than twice its width ,

=> Length of the rectangle garden = 2x + 3  

Perimeter of the rectangle = 2( length + width)

=> Perimeter of the rectangular garden = 2 (Length of the rectangle garden + width of the garden)

= 2 (2x + 3 + x) = 2 (3x + 3 ) = 6x + 6

=> Perimeter of the rectangular garden = 6x + 6

As it is also given that Perimeter of the rectangular garden = 114 feet

=> 6x + 6 = 114 feet

=> 6x = 114 – 6

x = 18

Width of the garden = x = 18 feet

Length of the garden = = 2x + 3 = 2(18) + 3 = 39 feet

Hence dimensions of rectangular garden is length = 39 feet and width = 18 feet

The expression that represents the situation is 0.65 x = 18.2

The tool used for 28 minutes

Step-by-step explanation:

The given is:

Assume that the tool rent for x minutes

∵ The tool rental cost is $0.65 per minute

∵ The number of minutes is x

∵ The total bill for the rental = $18.20

∴ 0.65 x = 18.20

The expression that represents the situation is 0.65 x = 18.2

Solve the equation to find x

∵ 0.65 x = 18.20

- Divide both sides by 0.65

∴ x = 28

The tool used for 28 minutes

Learn more;

You can learn more about the word problem in brainly.com/question/3950386

#LearnwithBrainly

Answer:

The total number of Green team members is 160.

Step-by-step explanation:

Given 90% of the total members present at the meeting which is 144.

Let the total number of members be x.

[tex]90\%\ of x=144\\\frac{90\times\ x}{100}=144\\9x=1440\\x=\frac{1440}{9}=160[/tex]

Hence we can say that, The total number of Green team members is 160.

Answer:

160

Step-by-step explanation:

Answer:

Persian-Maine Coon-American Shorthair

Step-by-step explanation:

If you look back at the question, you will see the numbers 13.65,13.07, and 13.6. So, we'll do this by digits.

The first digit of all the numbers is 1. So we'll move on. The second digit is a3, of which all numbers have in common. So we'll move on again. So now ur down to the digits 6, 0, and 6. Well, 13.07 belongs to the Persian. Then You'll see a 6, which belongs to the Maine coon. Lastly, you have another 6, which goes to the American shorthair. Correct me if i'm wrong :-)

Final answer:

James's speed in miles per hour is calculated by dividing the distance walked (3 3/4 miles) by the time taken (7/8 hour), resulting in an average speed of approximately 4.29 miles per hour.

Explanation:

To calculate James's speed in miles per hour, we first need to determine how many hours he was walking. Since he walked for 7/8 of an hour, we then divide the distance he walked, 3 3/4 miles, by the time in hours to find his speed. The calculation is as follows:

Speed = Distance / Time

Convert 3 3/4 miles to a decimal, which is 3.75 miles. Then take 7/8 hour and convert to decimal form, which is approximately 0.875 hours. Therefore:

Speed = 3.75 miles / 0.875 hours = 4.29 miles per hour (rounded to two decimal places).

Thus, James's average speed was approximately 4.29 miles per hour.

Answer:

(a)The cost of per ounce of yogurt = $0.45

(b) The the cost of Reid's bowl = $3.51

Step-by-step explanation:

Here, according to the question :

The cost of 9.2 ounce yogurt bowl = $4 .14

The cost of 8.1 ounce yogurt bowl = $3.65

(a) Now, [tex]\textrm{Cost of 1 ounce of yogurt}  = \frac{\textrm{Price of n ounce of yogurt}}{\textrm{ n}}[/tex]

= [tex]\frac{\textrm{Price of 9.2 ounce of yogurt}}{\textrm{ 9.2}} = \frac{4.14}{9.2}   = 0.45[/tex]

So, the cost of per ounce of yogurt = $0.45

(b) Now, the amount if yogurt in Reid's Bowl =  7.8 ounces

So, the total cost of her bowl  with 7.8 ounce yogurt  = 7.8 x ( cost of 1 ounce of yogurt)

= 7.8 x ( $0.45) = $3.51

So, the the cost of Reid's bowl = $3.51

Answer:

A) $0.45 per oz

B) $3.51

4.14/9.2 = 0.45

0.45 x 7.8 = 3.51

Step-by-step explanation: