a coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. w equal the price of a bottle of water. Write an equation that represents the situation.

Linear equations in slope intercept form for the given scenarios:

Juwan: y = 4x + 4

Jamie: y = 3x

Linear equations in standard form for the given scenarios:

Juwan: y - 4x = 4

Jamie: y - 3x = 0

Where, y = current stock value and x = number of times the stock value increased.

Domain: Set of natural number.

Range: Real number greater than or equal to 0.

This scenario is an example of causation.

The standard form of a line is Ax + By = C, where A and B are not both zero.

In the given scenario, we take

y =  the present stock value of Jamie and Juwan.

x = number of times the stock value increased.

where, y depends upon x.

Juwan: y - 4x = 4

Jamie: y - 3x = 0

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Juwan: y = 4x + 4

Slope = 4

y - intercept = 4

Jamie: y = 3x

Slope = 3

y - intercept = 0

The domain is the set of all the input values of a function and range is the possible output given by the function.

In this particular question, x is the number of times stock price increased. Thus, it can be 0, 1, 2, 3....set of natural number. y is the current stock price. The stock price was positive in the beginning and has been increasing since then, therefore y lies in the set of positive real number.

Causation means that one variable causes another to change, which means one variable is dependent on the other. Here, the price of stock depends upon the number of times its value increased.

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Answer:

find the product of (4m-n)and(3m-2n)

Answer:

1

Step-by-step explanation:

the number of circles which can pass through three given non-collinear points is exactly one.

the reason is that the center of such a circle must be on the (perpendicular) bisectors of the lines between each pair of these points.

these bisectors intersect at one unique point which is the center of the circle and the distance of any point from the center is the radius. So given three non collinear points fixes the center and the radius thereby giving us one unique circle.

the same way we find the circumscribing circle of a triangle, which is exactly the same situation.

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

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

[tex]\qquad \sf  \dashrightarrow \:2(l + w) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(3x + 8 + x) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(4x + 8) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 56 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 28[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x = 28 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 20\div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x =5 \: cm[/tex]

Hence, width = x = 5 cm

[tex]\qquad \sf  \dashrightarrow \:l = 3w + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 3(5)+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 15+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l =23 \:cm[/tex]

And, length = 26 cm

Answer:

4 084 080 ways

Step-by-step explanation:

The number of ways is :

[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}[/tex]

___________

Since

  18C3=816

  15C6=5 005

  9C9=1

then

[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}=816\times5005\times1= 4\ 084\ 080[/tex]

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

As we know ~

Area of the circle is :

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

And radius (r) = diameter (d) ÷ 2

[ radius of the circle = half the measure of diameter ]

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[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 4.4\div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.2 \: mm[/tex]

Now find the Area ~

[tex]\qquad \sf  \dashrightarrow \: \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {(2.2)}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {4.84}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx 15.2 \: \: mm {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 3.7 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 1.85 \: \: cm[/tex]

Bow, calculate the Area ~

[tex]\qquad \sf  \dashrightarrow \: \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times (1.85) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 3.4225 {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx 10.75 \: \: cm {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times (8.3) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 68.89[/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx216.31 \: \: cm {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 5.8 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.9 \: \: yd[/tex]

now, let's calculate area ~

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {(2.9)}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 8.41 [/tex]

[tex] \qquad \sf  \dashrightarrow \:area \approx26.41 \: \: yd {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 1 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 0.5 \: \: yd[/tex]

Now, let's calculate area ~

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times (0.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 0.25[/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx0.785 \: \: yd {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {(8)}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 64[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 200.96 \: \: yd {}^{2} [/tex]

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Answer:

the longest segment is between 14 and 9

Step-by-step explanation:

this is the best answer in my eyes

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.

The length of the diagonal of the rectangular prism is given as,

D² = L² + W² + H²

The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.

The diagonal length is calculated as,

D² = 14² + 11² + 9²

D² = 196 + 121 + 81

D² = 398

D = 19.95 cm

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

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Answer:

7.28 in change

Step-by-step explanation:

When she used 20 bucks it gave her 7.28 cents.

Let's see

[tex]\\ \rm\rightarrowtail (fog)(x)=f(g(x))[/tex]

[tex]\\ \rm\rightarrowtail f(5x-4)=20x+p[/tex]

[tex]\\ \rm\rightarrowtail 4(5x-4)+3=20x+p[/tex]

[tex]\\ \rm\rightarrowtail 20x-16+3=20x+p[/tex]

[tex]\\ \rm\rightarrowtail -13=p[/tex]

Answer:

[tex]\sf p = -13[/tex]

Step-by-step explanation:

Given functions:

[tex]\sf f(x)=4x+3[/tex]

[tex]\sf g(x)=5x-4[/tex]

[tex]\sf fg(x)=20x+p[/tex]

[tex]\sf fg(x)=f[g(x)][/tex]

This means g(x) is substituted for x in f(x).

[tex]\sf \implies f[g(x)]=4[g(x)]+3[/tex]

                 [tex]\sf =4(5x-4)+3[/tex]

                  [tex]\sf= 20x-16+3[/tex]

                  [tex]\sf =20x-13[/tex]

[tex]\sf f[g(x)]=f[g(x)][/tex]

[tex]\sf \implies 20x+p=20x-13[/tex]

[tex]\sf \implies p=-13[/tex]

Answer: 3:9, 1:3, 12:36

Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.

Find theFind tha amount of profit per bag by subtracting:

2.99 - 1.90 = 1.09

He made $1.09 profit per bag.

Now multiply the profit per bag by the number of bags:

1.09 x 12 = 13.08

Total profit = $13.08 amount of profit per bag by subtracting:

2.99 - 1.90 = 1.09

He made $1.09 profit per bag.

Now multiply the profit per bag by the number of bags:

1.09 x 12 = 13.08

Total profit = $13.08

Answer:

[tex] \sf \: Proved \: \angle \: OAD \: = \angle \: OCD[/tex]

Step-by-step explanation:

Given:

Mn is diameter of circle having centre O

and BD = OD,

To prove that:

[tex]\angle \: OAD \: = \angle \: OCD[/tex]

Solution:

Join the points O and B and draw OB,

On joining the line,

in ∆OCD and ∆OBD,

OC =OB → (Radius of same circle)

BD =CD → (from given)

OD =OD → (Common side in both the triangles)

Hence ∆OCD and ∆OBD are congruent from SSS property.

so we can say that,

[tex]\angle \: OBD \: = \angle \: OCD[/tex]

Consider above prove as statement A

Corresponding angles of congruent traingle.

in ∆ OAB,

OA = OB (radius of same circle)

hence ∆OAB is an isosceles traingle.

We know that opposite angle of isosceles traingle are always equal. hence,

[tex]\angle \: OBD \: = \angle \: OAB \\ \angle \: OAB \: = \angle \: OAD (same \: angles) \\ \angle \: OBD \: = \angle \: OAD[/tex]

Consider above prove as statement B

From Statement A & B we can say that

[tex]\angle \: OAD \: = \angle \: OCD[/tex]

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About the minus sign with 16, square root of -1 is an imaginary number i(iota). Also we know that square root of -16 will be multiplication of square root of -1 and square root of 16. So the final answer becomes, + or - 4i. Hope this helps

Step-by-step explanation:

C = 2 Pi R = 220

R = 220 / 2 pi = 35 cm

diameter = 35 x 2 = 70 cm

Area = pi r² = pi 35² = 3848.45 cm

Answer:

19.308

Step-by-step explanation:

The probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice is 0.083

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We assume that the probability of throwing a sum of 10 in a pair of fair dice is

[tex]\frac{n(5,5)(6,4)(4,6)}{n\: all\: events}[/tex]

= 3/36

= 0.083

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Answer:

I'm wonde what it is because I like this stuff

The required value of angle x in the given triangle using the sine formula is 61.31

The triangle is shown in the figure, we have to determine the value of angle x in degrees.

To determine the angle, we must apply the sine formula using the angle-side combination.
Sine formula is given as:
sinA/a = sinB/b=sinC/c
sin58/5.8=sinx/6

Simplifying the above expression:
sinx=0.877
x = sin⁻¹(0.877)
x= 61.31°

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Answer:

1. any number from 42 to 68

e.g 52

2. any number less than 42 or greater than 68

e.g 76

Answer:

I have no idea what are you talking about......

Answer:

13+26=39

Step-by-step explanation:

the 7th odd number is 13 and 13th even is 26

Answer:

[tex]\displaystyle 39[/tex]

Step-by-step explanation:

[tex]\displaystyle 39 = 13 + 26 \Rightarrow 39 = 13 + 2[13][/tex]

On a hundred chart, you will see that the seventh odd number is [tex]\displaystyle 13,[/tex]and the thirteenth even number is self-explanatory, so you should know what occurs there.

I am joyous to assist you at any time.

Answer:

8 square feet

Step-by-step explanation:

The formula of a volume of a prism:

We have

Substitute:

            divide both sides by 9

Answer:

Step-by-step explanation:

The first one is 8

The second one is 4

Answer:

4.5 inches

Step-by-step explanation:

1/15 of 67.5

This is if you are looking for the proportional height. That's all I can solve with given this info.

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

[tex]\\ \rm\rightarrowtail y=x-0.002x^2[/tex]

So

[tex]\\ \rm\rightarrowtail y=250-0.002(250)^2[/tex]

[tex]\\ \rm\rightarrowtail y=250-0.002(62500)[/tex]

[tex]\\ \rm\rightarrowtail y=250-125[/tex]

[tex]\\ \rm\rightarrowtail y=125m[/tex]

Distance:-

Answer:

true because the center of the triangle is in the middle

The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;

From a similar question, we have;

Side length of the hexagon = 8.1 m

Perpendicular distance from the center to a side of the hexagon = 7 m.

Therefore;

Cross sectional area of the hexagon, A is found as follows;

A = 6 × 0.5 × 7 × 8.1 = 170.1

Length of the tunnel, D = 3572.1 ÷ 170.1 = 21

D = 21 meters

Length of two cars and a connector, L = 8 + 8 + 3 = 19

The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.

Therefore;

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Answer:

268

Step-by-step explanation:

Divide the figure into 3 pieces, a triangle, a rectangle, and another rectangle.

Triangle area=18*(15+6+1) * 1/2, or 189

Rectangle 1= 4*11= 44

Rectangle 2= 7*5= 35

Add all up, get 268

Answer:

mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

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The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

The formula for calculating the confidence interval for proportion is expressed as:

[tex]p \pm z\sqrt{p(1-p)/n[/tex]

p is the proportion

z is the z score at 99% interval

n is the sample size

Given the following parameters

[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]

Substitute the values

[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]

Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

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The circle has a center at the origin (0, 0) and have a radius of 4 units.

A circle is the locus of a point such that its distance from a fixed point (center) is constant.

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

The circle given by the equation:

x² + y² = 16

Hence the center is (0, 0) and the radius is 4 units.

The circle has a center at the origin (0, 0) and have a radius of 4 units.

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The center is (0, 0) and the radius is 4 units.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The base of a solid is s is the region bounded by the circle is;

[tex]\rm x^2+ y^2=16[/tex]

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

On comparing with the standard equation of a circle;

h = 0 , k = 0 and r =4

Hence. the center is (0, 0) and the radius is 4 units.

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Answer:

Five feet

Step-by-step explanation:

H = A ÷ L

H = 65 ÷ 13

H = 5 ft

Answer:

Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%

Answer: 108, 132, 156, and 180

Step-by-step explanation:

If you need to add 24 to the first term for the next 4 terms, you would have

84 + 24 = 108

108 + 24 = 132

132 + 24 = 156

156 + 24 = 180

So your sequence would be 108, 132, 156, and 180 for the next 4 terms.