Daniella has money automatically deposited into a savings account each week. after 3 weeks, she has $18. After 5 weeks, she has $30. the unit rate is measured in dollars per week. what is the constant of proportionality.

Answer: 28.275cm^3

Step-by-step explanation: The density equation is mass/volume, and you can rearrange the equation to figure out what the volume is. By rearanging the equation, you get that volume= mass/ density. So 11.31/0.40=28.275cm^3

Answer:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Step-by-step explanation:

Let the number of two point goals = [tex]x[/tex]

Let the number of three point goals = [tex]y[/tex]

Let the number of free throws = [tex]z[/tex]

As per the given statements:

[tex]x = 2y-77 ...... (1)[/tex]

[tex]z = x-30 ...... (2)[/tex]

Using equation (1):

[tex]z = 2y-107[/tex] ...... (3)

Total number of points from two point goals  = [tex]2x[/tex]

Total number of points from three point goals  = [tex]3y[/tex]

Total number of points from free throws  = [tex]z[/tex]

[tex]2x+3y+z=846[/tex]

using (1) and (3):

[tex]2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123[/tex]

By (1):

[tex]x = 2\times 123-77 =169[/tex]

By (3):

[tex]z =2\times 123-107 = 139[/tex]

So, answers are:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Answer:

The answer is

Step-by-step explanation:

To find the length of the shorter piece we must first find the total parts

That's

2 + 5 = 7

Looking at the ratio above we can see that 2 is the smaller part which makes it the shorter piece

Now divide 2 by the total parts and multiply by 120

That's

[tex] \frac{2}{7} \times 120 \\ = \frac{240}{7} \\ = 34.285714[/tex]

We have the final answer as

Hope this helps you

Answer:

272.17 ft

Step-by-step explanation:

Since the angle of depression of the sighting equals the angle of elevation of the lighthouse from the boat, using trigonometric ratios,

tanθ = x/d where θ = angle of sighting, x = height of lighthouse =55 ft and d = distance of boat from lighthouse at sighting

So, d = x/tanθ

when θ = 8.1°, for the first sighting,

d₁ = 55/tan8.1 = 386.45 ft

when θ = 25.7°, for the second sighting,

d₂ = 55/tan8.1 = 114.28 ft

The distance the boat traveled between the two sightings is thus d₁ - d₂ = 386.45 ft - 114.28 ft = 272.17 ft

Answer:

[tex]\Large \boxed{w=\frac{2u+9}{6} }[/tex]

Step-by-step explanation:

[tex]-2u+6w=9[/tex]

Adding 2u to both sides.

[tex]6w=9+2u[/tex]

Dividing both sides by 6.

[tex]\displaystyle w=\frac{2u+9}{6}[/tex]

Answer:

So we have this equation:

[tex]-2u + 6w = 9[/tex]

And we need to rearrange it to make the w an independent variable.

That means we need to solve the equation for w:

[tex]-2u + 6w = 9[/tex]

First thing we need to do is passing the [tex]-2u[/tex] to the right summing:

[tex]6w = 9 + 2u[/tex]

Next, we can pass the 6 (which is multiplying the w) to the right dividing:

[tex]w = \frac{9+2u}{6}[/tex]

we can also write it as this:

[tex]w = \frac{9}{6}+\frac{2u}{6}=\frac{3}{2}+\frac{u}{3}[/tex]

Answer:

The inequality for each quantity described is given as follows;

0 ≤ A + B + C + D + E ≤ 50

Step-by-step explanation:

The given information are;

The number of players each team can have = between 3 and 5

The maximum number of points a player can score in each round of the game = 10 points

The number of players in Elena's team = Elena + 4 = 5 players

The total number of points Elena's team earns at the end of the round is given as follows;

0 ≤ A + B + C + D + E ≤ 5 × 10

Where the variables A, B, C, D, and E are the points each of Elena and are  makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;

0 ≤ A + B + C + D + E ≤ 50.

Answer:

57,750

Step-by-step explanation:

you would take 7% of 55000 which is 3,850 and multiply that by 15 which is 57,750 and that is the final answer

Answer:

Quadrant II

Step-by-step explanation:

Since x < 0 and y > 0, that means the point (x,y) is located to the left and up from the origin, meaning quadrant II.

Cheers.

Answer:

27+6-2=31

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

We know:

10x - 10 = 5 ( x + 1 )

Distribute/ Multiply:

10x -10 = 5x + 5

Rearrange equation:

10x - 5x = 5 + 10

Combine like terms:

5x = 15

Divide:

x = 3

Answer:

Step-by-step explanation:

Use the Distributive Property to multiply.

3(2x + 7)  = (3 x 2x) + (3 x 7)

(3 x 2x) + (3 x 7)

Solve.

3 x 2x = 6x

3 x 7 = 21

6x + 21

You cannot simplify this.

So the answer is 6x + 21.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Answer:

AB = 24

Step-by-step explanation:

BD = 5x – 26

BC = 2x + 1

AC = 43

Using the segment addition postulate, AC = AB + BC.

We know that BD = BC, BD = 5x-26 and BC = 2x+1.  We can set up an equation to find the value of x:

5x - 26 = 2x + 1   Subtract 2x from each side

5x - 26 - 2x = 2x + 1 - 2x

3x-26 = 1  Add 26 to each side

3x-26+26 = 1+26

3x=27  Divide both sides by 3

3x/3 = 27/3

x = 9

This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.

We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have

43 = AB + 19  Subtract 19 from each side

43 - 19 = AB + 19 - 19

24 = AB

Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

Answer: 96

Step-by-step explanation:

Answer: 96 inches

Step-by-step explanation:

1 Feet=12 inches

--------------------------------

So.....

8 Feet= 12 × 8 inches

8 Feet= 96 inches

Hope this helps!! :)

Please let me know if you have any question

Answer:

4 in, 8 in, 15 in

Step-by-step explanation:

If x, y, z are the three pieces, then:

x + y + z = 27

y = 2x

z = 3 + 3x

Substitute the second and third equations into the first.

x + 2x + 3 + 3x = 27

6x + 3 = 27

6x = 24

x = 4

y = 8

z = 15

Complete question is;

The function ​f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?

Answer:

227 units

Step-by-step explanation:

We are given the function;

​f(x) = (25000 + 280x)/x

Where;

f(x) is the average cost per unit

x is the number of units

Now, we want to find out how many units the company must produce to have an average cost per unit of $390.

Thus, plugging $390 for f(x), we have;

390 = (25000 + 280x)/x

When we cross multiply, we get;

390x = 25000 + 280x

390x - 280x = 25000

110x = 25000

x = 25000/110

x ≈ 227

Answer:

[tex]x = \frac{4}{9}[/tex]

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

[tex]x = 0.444[/tex]

Convert to fraction

[tex]x = \frac{444}{1000}[/tex]

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

[tex]x = \frac{444}{1000 - 1}[/tex]

[tex]x = \frac{444}{999}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 37

[tex]x = \frac{444/37}{999/37}[/tex]

[tex]x = \frac{12}{27}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 3

[tex]x = \frac{12/3}{27/3}[/tex]

[tex]x = \frac{4}{9}[/tex]

Hence;

There winning fraction is [tex]\frac{4}{9}[/tex]

Answer:

624ft^3

Step-by-step explanation:

the formula for volume is lengthxwidthxheight.

so it would be 13x6x8

and that sum is 624ft^3

Answer:

-4(v+1)

(-4 X v ) + -4 X 1

-4v + -4

it is your polynomial equation....

If you eat 3 slices of pizza in 2 minutes, you will be able to eat 15 slices of pizza in 10 minutes.

Answer: 11

Step-by-step explanation: divide the total length of pvc pipe by the individual piece

Domain:  [tex]-4 < x \le 4[/tex]

Range:  [tex]-2 \le y < 5[/tex]

=======================================

Explanation:

The domain is the set of allowed x values.

The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain.

The right most point is at (4,-2). So [tex]x \le 4[/tex]

Combine [tex]-4 < x[/tex] and [tex]x \le 4[/tex] together to get the domain [tex]-4 < x \le 4[/tex]

----------------------

The range is the set of possible y values.

The range spans from -2 to 5, including -2 but excluding 5. This is because the smallest y value possible is y = -2, and the upper bound for the y values is y < 5 due to the open hole.

Therefore the range is the compound inequality [tex]-2 \le y < 5[/tex]

Answer: domain - -4

Range- -2

Step-by-step explanation:

Answer:

There are 6 seating orders possible.

Step-by-step explanation:

1. Andrew, Marco, Kenjo

2. Marco, Kenjo, Andrew

3. Kenjo, Marco, Andrew

4. Kenjo, Andrew, Marco

5. Andrew, Kenjo, Marco

6. Marco, Andrew, Kenjo

Answer:

[tex]=-\frac{331}{288}=-1.14930\dots[/tex]

Step-by-step explanation:

[tex](\frac{7}{8} + \frac{3}{4} )\times (\frac{5}{36} - \frac{11}{13} )\\\\\mathrm{Join}\:\frac{7}{8}+\frac{3}{4}:\quad \frac{13}{8}\\\\=\frac{13}{8}\left(\frac{5}{36}-\frac{11}{13}\right)\\\\\mathrm{Join}\:\frac{5}{36}-\frac{11}{13}:\quad -\frac{331}{468}\\\\=\frac{13}{8}\left(-\frac{331}{468}\right)\\\\=-\frac{13}{8}\times\frac{331}{468}\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=\frac{1}{8}\times\frac{331}{36}\\\\=-\frac{1\cdot \:331}{8\times\:36}\\\\=-\frac{331}{288}[/tex]

Answer:

Answer:

I think its 4

Step-by-step explanation:

hope this helps

g(x)=x+2

g(5)=?

now

g(5)=5+2

=7

Answer:

32°C

Step-by-step explanation:

 59°C - 27°C = 32°C

Answer:

a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Answer:

repeating decimals are rational becoz they can be written in the form p/q

Step-by-step explanation: