In a group of 50 patrons, 14 patrons like lattes and espressos, 11 patrons like
espressos and cappuccinos, 7 patrons like lattes and cappuccinos, and 3
patrons like all 3 coffee drinks. Altogether, 22 patrons like lattes, 30 patrons
like espressos, and 23 patrons like cappuccinos. How many patrons don't like
any of these coffee drinks?

Answer:

x = 18.5 (large) , y = 6.25 (small)

Step-by-step explanation:

Let's start by assigning variables to each type of box.

The large box we will call "x"

The small box we will call "y"

We know that 8x + 4y = 173 (kilograms)

And 3x + 2y = 68 (kilograms)

Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.

8x + 4y = 173

3x(-2) + 2y(-2) = 68(-2)

-6x + -4y = -136  (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)

Add equations together:

2x = 37

x= 18.5

Now that we have x, just substitute it into any of the equations to get y.

You will see that y = 6.25

Please mark this brainliest, and I hope this helps!

Answer:

60

Step-by-step explanation:

bceuase i got it right just multiply

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is the opposite side of angle 30°

34 is the adjacent side of 30°

So, find the value of x, we have use tan

[tex]\bf \boxed{ tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}}}[/tex]

[tex]tan \ 30^\circ = \dfrac{x}{24} \\\\\\0.58 = \dfrac{x}{24}\\\\\\0.58*24=x[/tex]

x = 13.92

Step-by-step explanation:

the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).

the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.

a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.

so,

c = 180 - 35 = 145°

a = c = 145°

b = 35°

d = 180 - 110 = 70°

e = d = 70°

f = 110°

g = 180 - 125 = 55°

i = g = 55°

h = 125°

j = 180 - 130 = 50°

m = j = 50°

o = k = d = e = 70° (as this line crosses 2 levels)

l = f = 110°

n = 180 - m - o = 180 - 50 - 70 = 60°

s = 180 - 23 = 157°

p = 23°

r = 68°

q = 180 - p - r = 180 - 23 - 68 = 89°

t = 180 - 68 = 112°

v = w = z = 132° (as this line crosses 2 levels)

A = 180 - 132 = 48°

y = x = u = A = 48°

B = 180 - 39 - 47 = 94°

D = B = 94°

C = 39 + 47 = 86°

E = 47°

F = B + 39 = 94 + 39 = 133°

Answer

718.25 pi or 2,256.4489

Step-by-step explanation:

The volume formula for cylinders is V=pi * r^2 * h

So plug in your numbers!

r=6.5 h=17

pi times 6.5^2 times 17 = pi*718.25 or 2,256.4

Answer:

1000 my friend

Step-by-step explanation:

Answer:

10³ = 1000

Step-by-step explanation:

hope this helps

Answer:

  (b)  (x^2 + 8x + 16) + (y^2 − 6y + 9) = 11 + 16 + 9

Step-by-step explanation:

To complete the square of a binomial, the constant term of the perfect square trinomial is the square of half the coefficient of the linear term. It will always be positive.

__

a) 9 is subtracted, incorrectly

b) 16 and 9 are correctly added . . . this is the correct Step 3

c) half the linear term is added, incorrectly

d) the magnitude of half the linear term is added, incorrectly

Answer:

-8, -2, 4, 10

Step-by-step explanation:

Plug the x value into the function.

2(-6)+4 = -8

and so on for all of the values in the table.

Answer:

y = 2(-6) + 4

y = -12 + 4

y = -8

y = 2(-3) + 4

y = -9 + 4

y = -5

y = 2(0) + 4

y = 0 + 4

y = 4

y = 2(3) + 4

y = 6 + 4

y = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The first part is perfect. Fix the second inequality.

Step-by-step explanation:

The second inequality is:

4x - y > -3

Subtract 4x.

-y > -4x - 3

Multiply by -1 remember when multiplying (or dividing) by a negative number you must REVERSE the inequality symbol.

y < 4x + 3

Your line looks great, but make it dashed. And then the shading will be below the dashed line. This creates the solution set in the triangular area in the middle bottom of the graph. The point they are asking for is not the point of intersection, it is any point in the bottom triangle, which is the doubly shaded solution set area. Use (0, -5) for example.

Answer:

9 3/8 as a fraction or 9.375 as a decimal

Step-by-step explanation:

4/8 + 8 7/8 = 75/8= 9 3/8= 9.375

Answer:

15 represents where Jerry is after the elevation dropped 25 meters and then rose 40 meters.

Step-by-step explanation:

It's given that Jerry hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley

Hiked downhill = 25 meters

Hiked up = 40 meters

The given equation is

Here, hiked downhill represented by negative sign and hiked up resents by positive sign.

So, 15 represents that Jerry hiked up 15 meters from his starting position.

(2, the hill was 15 meters higher than the elevation of his starting point)

Answer:

2.

Step-by-step explanation:

The hill was -25 + 40 = 15 meters highe than starting point.

Answer:

12

Step-by-step explanation:

hope it helps

Answer:

Its 12

Step-by-step explanation:

The system of equations that Sam can use is given by:

A 13b + 4t =327.50, 6b + 2t = 142.96

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:

13b + 4t = 327.50.

The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:

6b + 2t = 142.96.

Which means that option A is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]

Answer:

7140

Step-by-step explanation:

Hey there!

This is the correct answer because First, you need to calculate what is 40% of 11900 which is 4760, and then subtract it from 11900.

Finally you would end up with 7140

Answer:

The area is 154 square feet

Step-by-step explanation:

#1

#2

Convert to Vertex form of parabola y=a(x-h)²+k

We need calculator now

On comparing

As a is negative so parabola is opening downwards hence vertex is maximum

#3

When h(t) is 0 ball hits the ground

On solving we get t=-1/16 or 4

Take it positive

At 4s it reach the ground

#4

Domain is set of all t values (Time axis)

Here

ball starts from 0s and hits 0 again at 4s

So domain=[0,4]

Answer:

(a)  66 ft

(b)  66.015625 feet

(c)  4 s

(d)  0 ≤ t ≤ 4

Step-by-step explanation:

[tex]h(t)=-16t^2+63t+4[/tex]

Part (a)

[tex]t=2 \implies h(2)=-16(2)^2+63(2)+4=66[/tex]

Therefore, the height of the ball after 2 seconds is 66 feet

Part (b)

The maximum height will be the turning point of the parabola.

To find the turning point, differentiate the function:

[tex]\implies h'(t)=-32t+63[/tex]

Set it to zero:

[tex]\implies h'(t)=0[/tex]

[tex]\implies-32t+63=0[/tex]

Solve for t:

[tex]\implies 32t=63[/tex]

[tex]\implies t=\dfrac{63}{32}=1.96875[/tex]

Input found value of t into the function and solve for h:

[tex]\implies h(1.96875)=-16(1.96875)^2+63(1.96875)+4=66.015625[/tex]

Therefore, the maximum height of the ball is 66.015625 feet

Part (c)

The ball will hit the ground when h(t) = 0

[tex]\implies -16t^2+63t+4=0[/tex]

[tex]\implies 16t^2-63t-4=0[/tex]

[tex]\implies 16t^2+t-64t-4=0[/tex]

[tex]\implies t(16t+1)-4(16t+1)=0[/tex]

[tex]\implies (t-4)(16t+1)=0[/tex]

[tex]\implies t=4, t=-0.0625[/tex]

As time is positive, t = 4s only

Part (d)

As time is positive, and the ball hits the ground when t = 4 s, the domain should be restricted to:  0 ≤ t ≤ 4

Answer:

Volume of cone = 1/3 Area of base × height

= 1/3× πr² × h

= 1/3×3.14×8²×9

= 602.88 m³

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a cone has a radius of 8 meters and a height of 9 meters and we have to find the volume of the cone.

[tex] \: [/tex]

To Find the volume of the cone, we must know this formula :

[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]

Where,

Now, we will substitute the values in the formula :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(8)}^{2} \times 9 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 64 \times 9 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 576 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1808 .64 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1808 .64}{3} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_{(cone) }= 602.88 }}}}}}} \\ \\[/tex]

Therefore,

The Pythagorean Theorem is used to solve for the hypotenuse of a right triangle.

The formula for solving it is [tex]a^2 + b^2 = c^2[/tex], as a represents one side of the triangle, and b represents the other side. C is the hypotenuse as which we are trying to solve for.

Answer:

of Example 6

5 and 14

Step-by-step explanation:

IN EXAMPLE 6

Opposite angles are equal so you equate the first one like this

3x + 20 = 10x - 15

15 + 20 = 7x

35/7 = x

x = 5

In next question b

It is a straight line thus it's 180°

so 4n + 22 +8n -10 = 180

12n + 12 = 180

12n = 180 - 12

n =168÷ 12

n = 14

Answer:

[tex] {108in}^{2} [/tex]

Step-by-step explanation:

to get the surface area of a pyramid you must take half of the product of the perimeter times the slant length and THEN add the area of the base to the total.

In this problem, the perimeter is 24. Slant height is 6, and area of the base is 36

1/2(24*6)+36= 108

If this answer helped you, I would appreciate it if you gave me the brainliest :D

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a

Answer:

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.