On Saturday, Mark sold 2 7/8 gallons of lemonade.On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

Answer:

Mikiala,  just remember  π is just a number. sooo

Step-by-step explanation:

we need a formula for area of a cone which is  (1/3) * π * r² * h

A = area , then

A=  (1/3) * π * r² * h

now just solve with the known info

A = 1/3 * π* [tex]6^{2}[/tex] *16

A= 192π

Answer:

603.2

Step-by-step explanation:

Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h

Answer:

the system of equations 25-x=-4y and 3x-2y=30

Step-by-step explanation:

the system of equations 25-x=-4y and 3x-2y=30

Answer:

(7, -9/2)

x=7

y=-9/2

Step-by-step explanation:

1. x=25+4y

2. 3x-2y=30

substitute 1 in 2

3. 75+12y-2y=30

simplify

10y=-45

y=-9/2

substitute y in to the second equation 3x-2y=30

3x+9=30

3x=21

x=7

Answer:

[tex]-\dfrac25c^2d^2+2c^3[/tex]

Step-by-step explanation:

[tex]-\dfrac13c^2(1.2d^2-6c)[/tex]

[tex]\implies -\dfrac13c^2 \cdot 1.2d^2+\dfrac13c^2 \cdot 6c[/tex]

[tex]\implies -\dfrac{1.2}{3}c^2d^2+\dfrac63c^2c[/tex]

[tex]\implies -\dfrac25c^2d^2+2c^3[/tex]

Answer:

Graph-d

Step-by-step explanation:

We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:

[tex]y = mx + b[/tex]

in this case,

Since Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is

In conclusion

Graph d represents Alex’s total monthly cost

Answer:

871.9 feet,

Step-by-step explanation:

tan 54 = 1200/ x   where x is the distance you have to walk.

x = 1200 / tan54

= 871.85

Step-by-step explanation:

17) no problem were noticed, just:

reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';

reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.

For more info see the attached picture.

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125

Answer:

5671.30

Step-by-step explanation:

periods = 5 years quarterly = 20 periods

 interest per period  .0335/4     (4 periods per year)

   initially 4800

FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30

Answer:

C, those who vote FOR the Ballet Measure tend to be from District 2.

Step-by-step explanation:

Look carefully, read the questions! Okay! Cya!

Those who vote for the ballot measure tend to be from District 2. The correct option is C.

To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.

District 1:

For: 13/75 ≈ 0.1733

Against: 12/75 ≈ 0.16

District 2:

For: 15/75 ≈ 0.2

Against: 10/75 ≈ 0.1333

District 3:

For: 9/75 ≈ 0.12

Against: 16/75 ≈ 0.2133

Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),

While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:

The correct option is C.

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Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

Subquestion #2

Subquestion #3

#1

[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]

[tex]\\ \rm\Rrightarrow x+24=90[/tex]

[tex]\\ \rm\Rrightarrow x=66[/tex]

#2

[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]

[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]

[tex]\\ \rm\Rrightarrow 4x=48[/tex]

[tex]\\ \rm\Rrightarrow x=12[/tex]

#3

[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]

[tex]\\ \rm\Rrightarrow 3x=126[/tex]

[tex]\\ \rm\Rrightarrow x=42[/tex]

Answer:

Below in bold.

Step-by-step explanation:

Area of a kite = 1/2 * D1 * D2   were D1 and D2 are the 2 diagonals

D1  = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9

So area = 1/2 * 7.5 * 9

= 33.75.

Answer:

33.75 Ft

Step-by-step explanation:

(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2

Answer:

20 and greater than 20

__________________________________________________________

Ask me in the comments box.

Answer:

200

Step-by-step explanation:

main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.

Answer:

the answer is 24 since 24 x 5 = 120

Step-by-step explanation:

Hope this helps you!

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

Answer:

a) 1/8

b) 8

Step-by-step explanation:

a) 1/2 x 1/2 x 1/2 = 1/8

b) since the exponent is negative it becomes positive when placed in the denominator

so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2

therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8

Answer:

9 x 8/2 = 36  l     36 x 9 = Volume

Step-by-step explanation:

we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.

hope this helps :D have a good night!

The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).

The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:

= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]

= 71.76, 78.23

The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:

= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]

= 55.27, 56.73

The 99% confidence interval when x = 40, s = 3, and n = 36 will be:

= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]

= 38.71, 41.29

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The measure of the angle ∠A will be 12°. Then the correct option is B.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle formed by two secants (lines cutting a circle at two places) intersecting outside the ring is half the distance between their arc minus the closest arc.

From the diagram, the equation is given as,

∠A = (arc DE - arc BC) / 2

∠A = (94° - 70°) / 2

∠A = 24° / 2

∠A = 12°

The measure of the angle ∠A will be 12°. Then the correct option is B.

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Answer:

Step-by-step explanation:

Remark

Choose any number at all and see what happens.

Suppose x = 8

3*(8 + 1) = 3*8 + 3

3(9) = 27

3*8 + 3 = 24 + 3 = 27

What you have shown is that the second choice is incorrect. There is at least one value that makes the equation correct (that is, both sides come to the same result.)

If choice two is false then choice one must be true since these results may give the only 2 possible results.

Answer: 1/5 or 20%

Step by Step Explanation:

Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.

Formula:  Number of outcomes divided by Favorable Outcomes

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = [tex]4/3\pi r^3[/tex]

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

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Answer:

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 =r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-2)^2 +(y-3)^2 =2^2[/tex]

[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

This is the required equation of the circle.

Answer:

5 prism all have same volume

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

In this scenario, we would use BODMAS to determine where to start.

B - Brackets

O- Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

First, let's start with the brackets.

16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.

16 X [tex]\frac{1}{2}[/tex] = 8

Next is the division sum.

32 ÷ 4 = 8

Afterwards, we multiply both answers.

8 X 8 = 64

Your answer is then minused by 2 and leads to the final answer.

64 - 2 = 62

Answer: (A) 11,-2/5

Step-by-step explanation:

when we solve the equation we get x=10 -5/2y and  3 x- 10 y = 37

then we substitute the value of "x"  3 (10-5/2y)- 10y=37

then we substitute the value oh "y" y= -2/5

solution

(x,y) = (11, -2/5)

The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is  $22.15.

In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.

Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85

Change =  $85 - $62.85 = $22.15

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Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750

(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000

(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000  

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

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