What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.

The quantity of salt in grams needed to complete the experiment is 180 grams.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Quantity of salt needed = (grams of baking soda x ratio of salt) / ratio of baking soda

(3 x 420) / 7 = 180 grams

To learn more about ratios, please check: https://brainly.com/question/25927869

Answer:

In the survey, 123 students picked math as their favorite subject.

Step-by-step explanation:

Answer:123 was chosen by the students since it is their favorite subject.

Answer:

CA ≈ 10 cm

Step-by-step explanation:

Since we know 2 sides and 1 angle we can use the Law of Cosine to find the third side.

CA = √(AB²+CB²- 2· AB· CB· cos 50°)

CA = √(7² +13² -2·7·13· cos 50°)

CA = √(49 +169 -116.987345)

CA = √101.012655

CA = 10.0505

CA ≈ 10 cm

Answer:

[tex]25\sqrt{3} \ [units^2].[/tex]

Step-by-step explanation:

1) one side of the given rectangle can be calculated as:

10*sin30°=5 [units].

2) another side of the given rectangle can be calculated as:

10*cos30°=5√3 [units].

3) finally, the area required is:

5*5√3=25√3 [units²].

The bus tickets and price are illustrations of a quadratic function, and the maximum revenue the bus company can earn is $5107.6

The variable representation used in this scenario are:

The price is given as:

Price = $156

The number of seats is given as:

Seats = 56

When the bus is at half capacity, we have:

Seats = 28

As the price decreases by $5, the rider gains 2 more.

So, the revenue equation is:

y = (156 - 5x)(28 + 2x)

Expand

y = 4368 - 140x + 312x - 10x²

Differentiate

y' = 0 - 140 + 312 - 20x

Evaluate the sum

y' = 172 - 20x

Equate to 0

172 - 20x =0

Add 20x to both sides

20x = 172

Divide both sides by 20

x = 8.6

Substitute x = 8.6 in y = (156 - 5x)(28 + 2x)

y = (156 - 5 * 8.6)(28 + 2 * 8.6)

Evaluate

y = 5107.6

Hence, the maximum revenue the bus company can earn is $5107.6

#SPJ1

Read more about revenue equations at:

https://brainly.com/question/19104371

hope it helps...!!!

Answer:

Check the image That’s I provided

Answer:

there all below

Step-by-step explanation:

Mean: 51.5

There is no mode so you would put "No mode.''

Median: 51

hope this helps <33

Answer:

Rebecca did a shorter run then Stacy

Rebecca ran a longer distance than Josie

Josie ran a longer distance than Finn

Step-by-step explanation:

if Rebecca’s distance was shorter than Stacy’s and longer than Josie, then Stacy’s running distance would have to be more that Josie’s and Finn’s.

1.Stacy

2.Rebecca

3.Josie

4.Finn

weekly raise= $145

an integer describing how the raise will affect her paycheck.

Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of $ 145.

So after completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

therefore, in this way end of every week her salary will increase by $ 145.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Number of blocks having volume of 2 m³ in the wall ~

[tex]\qquad \tt \dashrightarrow \: \dfrac{600}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:300 \: \: blocks[/tex]

Step-by-step explanation:

No of blocks will a wall will have =

Volume of wall / volume of one block

putting the known values ,

No of blocks = 600m³/2m³

No. Of blocks = 300 blocks

Answer:

11 + 12 = 23

Step-by-step explanation:

The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the number of miles rode by Breanna and c represent that of Courtney.

c = b + 180

The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180

Find out more on equation at: https://brainly.com/question/2972832

For any polygon:-

Here

Base is triangle

Area=

Volume:-

Answer:

the answer is 1

Step-by-step explanation:

ok

Answer:

A = 0.43      B = 0.49

Step-by-step explanation:

For A: The options are between 0.40 and 0.45. A is plotted on the 3rd line from 0.40. That makes the answer 0.43.

For B: It is in the middle of 0.45 and 0.50. It is plotted on the 4th line from 0.45, which is 0.49.

A = 0.43; B = 0.49

Answer:

1

Step-by-step explanation:

X power y would be written as 2^0, and any number to the power of 0 is equal to 1.

1

I didn't know this was possible so I looked it up :)

Have an amazing day/afternoon/night! <3

letter b :) its a little above 2, but not enough to be 2.5

Answer:

476.37

Step-by-step explanation:

$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37

Answer: [tex](x-7)^2+(y+2)^2=11^2[/tex] ; [tex]A=121\pi[/tex]

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

Begin by grouping the 'x' terms and 'y' terms:

[tex](x^2-14x)+(y^2+4y-68)=0[/tex]

Complete the square for the second polynomial:

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

[tex](x^2-14x)+(y^2+4y+4-4-68)=0[/tex]

[tex](x^2-14x)+(y^2+4y+4)-4-68=0[/tex]

[tex](x^2-14x)+(y^2+4y+4)-72=0[/tex]

[tex](x^2-14x)+(y+2)^2-72=0[/tex]

Do the exact same process with the other polynomial:

[tex](x^2-14x-72)+(y+2)^2=0[/tex]

Complete the square:

[tex](\frac{14}{2} )^2=49[/tex]

[tex](x^2-14x+49-49-72)+(y+2)^2=0[/tex]

[tex](x^2-14x+49)-49-72+(y+2)^2=0[/tex]

[tex](x^2-14x+49)-121+(y+2)^2=0[/tex]

[tex](x-7)^2-121+(y+2)^2=0[/tex]

Bring the 121 to the other side to get:

[tex](x-7)^2+(y+2)^2=121[/tex]

[tex](x-7)^2+(y+2)^2=11^2[/tex]

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

[tex]A=\pi r^2=121\pi[/tex]

Answer:

X=6

Step-by-step explanation:

1. 6(2x-10)+22=3x+16

2. 12x-60+22=3x+16

Is that the answer you are looking for

Answer:

6.5 inches

Step-by-step explanation:

Finding the height of the cylinder

Volume = 936 π in³

diameter = 24 inches

r = 24 ÷ 2

r = 12 inches

Volume = 936π

πr²h      = 936π

         [tex]\bf \sf h= \dfrac{936 \pi }{r^2*\pi }\\\\h = \dfrac{936 * \pi}{12*12* \pi}\\\\h = \dfrac{936}{12*12}\\\\\\\boxed{height = 6.5 \ inches}[/tex]

Answer:

6.5 i got 100

Step-by-step explanation:

The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

FICA tax comprises Social security tax + Medicare tax.

Where: Social security tax=6.2%, Medicare tax=1.45%, FICA tax =7.65%

The total annual fica tax for an annual salary of $38,480 is given by;

FICA tax=($38,480×6.2%)+($38,480×1.45%)

FICA tax=$2,385.76+$557.96

FICA tax= $2,943.72

Hence, the total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

Learn more about FICA tax here:

brainly.com/question/1154643

Answer:

16

Step-by-step explanation:

Lets first solve the right side :)

(3^5)^4 -> 3^20 = 3486784401

Now lets solve the left side :)

When we multiply the bases to exponets, we add the exponets together :)

Lets see what numbers equal 20 when added :)

4 + 4 = 8 Nope!!

4 + 5 = 9 Not at all!!

4 + 20 = 24 Too big!!

4 + 16 = 20 Perfect!!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The answer you are looking for is in D- 16

Explanation:

Included in attachment

Answer:

-3

Step-by-step explanation:

The general rule can be found by noticing patterns such as the numbers get smaller by 3 from the first term 3 towards the next 0 and towards next one -3

term 1: 3

term 2 : 3 -3 = 0

term 3 : 0 -3 = -3

The general rule of 3;0;-3​ is subtract 3

Answer:

6/1

Step-by-step explanation:

The reciprocal is always the opposite. for example, the reciprocal of 9/10 is 10/9

Answer:

6 or 6/1

Step-by-step explanation:

The opposite reciprocal is when a fraction is flipped upside down (the reciprocal part) and with the signs changed (the opposite).

For -1/6

[tex]\frac{-1}{6} < ==flip\ the\ fraction\\\\\frac{6}{-1}\\\\ -6 < ==change\ the\ sign\\\\6[/tex]

Hope this helps!

Each angles of a polygon with 5 sides and more, that is pentagon, hexagon and so on have angles which are all obtuse.

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angled.

An obtuse angle is an angle which is greater than 90 degrees.

Each angles of a polygon with 5 sides and more, that is pentagon, hexagon and so on have angles which are all obtuse.

Find out more on angle at: https://brainly.com/question/25770607

Answer:

1. x - 12 = 14 {brother's age minus 12 equals sister's age}

x = 26 {added 12 to each side}

Your brother is 26.

2. x+8.95=21.35  

now you must subtract 8.95 by both sides which equals x =12.4

3. 29 compact cars.

The total number of vehicle is 37. So you can just subtract 37 by 8 which gives 29.

4. x +73=95

subtract both sides by 73. which equals 22

5. $160      He originally spent $123.45 and was left with $36.55 you just add both numbers and that's what you get altogether.

6. X-225=548

Solve for x

Add 225 to both sides. So x - 753

I hope this helps! Please dont mark this wrong or delete this i worked really hard! I hope this helps tho! :)

Answer: Right angled triangle

Step-by-step explanation: Find picture attached

Answer:

[tex]a - 10 = \frac{a}{5 } - 2 \\ \\ \implies \: a - 10 = \frac{a - 10}{5} \\ \\ \implies \: 5a - 50 = a - 10 \\ \\ \implies \: 5a - a = - 10 + 50 \\ \\ \implies \: 4a = 40 \\ \\ \implies \: a = \cancel\frac{40}{4} \\ \\ \implies \: a = 10[/tex]

hope helpful ~

Answer:

a-10=a/5-2

a-10=a/3

3(a-10=a/3)

3a-30=a

3a-a=30

2a=30

a=15