Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups

Step-by-step explanation:

x = pounds birdseed

y = pounds sunflower seeds

x + y = 30

0.57x + 0.87y = 30×0.81

with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.

from the first equation we get

x = 30 - y

and we use that in the second equation :

0.57×(30-y) + 0.87y = 30×0.81 = $24.30

17.1 - 0.57y + 0.87y = 24.3

0.3y = 7.2

y = 24

x = 30 - y = 30 - 24 = 6

she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.

The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Learn more on dilation here: https://brainly.com/question/10253650

The current flowing in the AC circuit is 0.11 A.

The given parameters:

The impedance of the circuit is calculated as follows;

[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]

The current in the AC circuit is calculated as follows;

[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]

Thus, the current flowing in the AC circuit is 0.11 A.

Learn more about AC circuit here: https://brainly.com/question/14341432

Answer:

x=3, y=-6

Step-by-step explanation:

As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!

Let’s begin with our detailed answer:

As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.

So in our system of equations:

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

To eliminate this question we can divide the top part by -3:

[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]

Let‘s sum these system of equation and we get: [tex]y=-6[/tex]

We can now insert y as -6 and solve for x:

[tex]3x-12=-3[/tex]

[tex]x=3[/tex]

So, [tex]x=3, y = -6[/tex]

Answer:

(3, - 6 )

Step-by-step explanation:

3x + 2y = - 3 → (1)

9x + 4y = 3 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 9x - 6y = 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = 12

- 2y = 12 ( divide both sides by - 2 )

y = - 6

Substitute y = - 6 into either of the 2 equations and solve for x

Substituting into (1)

3x + 2(- 6) = - 3

3x - 12 = - 3 ( add 12 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 6 )

Answer:

9x = 72; x = 8 times as many stamps

Step-by-step explanation:

Answer:

9×=72;×=8 times as many stamps

Answer:

7/10

this should work

Step-by-step explanation:

Step-by-step explanation:

x = the first number of the sequence

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519

6x + 1 + 2 + 3 + 4 + 5 = 519

6x = 504

x = 84

so, the third number is x+2 = 84 + 2 = 86

Answer:

11

Step-by-step explanation:

11*2=22

29-7 =22

Answer:

11

Step-by-step explanation:

Let x be your number

Is means equals

2x = 29-7

2x= 22

2x/2 = 22/2

x =11

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Let the number be x

#11

[tex]\\ \sf\longmapsto x+6=20[/tex]

#12

[tex]\\ \sf\longmapsto x-7=4[/tex]

#13

[tex]\\ \sf\longmapsto x(x+1)=31[/tex]

#14

[tex]\\ \sf\longmapsto 2x+2=13[/tex]

#15

[tex]\\ \sf\longmapsto x-1=18[/tex]

#16

[tex]\\ \sf\longmapsto x^2+4=17[/tex]

#17

[tex]\\ \sf\longmapsto x^2/2=18[/tex]

#18

[tex]\\ \sf\longmapsto x+90/2=70[/tex]

Answer:

[tex]\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}[/tex]

Step-by-step explanation:

[tex]-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}[/tex]

Answer:

the answer is 14

Step-by-step explanation:

[tex]1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14[/tex]

hope this helped

The sum of the bases of a trapezoid using height is 20 cm is 14 cm.

Thus, option (A) is correct.

The formula to calculate the area of a trapezoid is given by:

Area = 1/2 x height x sum of bases

Given that the area is 140 cm² and the height is 20 cm.

Now, rearrange the formula to solve for the sum of the bases:

Sum of bases =  (2 x Area) / (height)

Substitute the given values:

Sum of bases =  (2 x 140) / (20)

                       = 14

So, the sum of the bases is 14 cm.

Thus, option (A) is correct.

Learn more about area of Trapezium here:

https://brainly.com/question/16508383

#SPJ3

Answer: 3 hours

Step-by-step explanation:

Answer:

1950-1980

Step-by-step explanation:

...........

Answer:

5:1

Step-by-step explanation:

divide eatch side

Answer:

It's 1:5

Step-by-step explanation:

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time =  251 miles.

Answer:

Below.

Step-by-step explanation:

(i) Speed of the bus = 270/6 = 45 km/hour.

(ii) In 9 hours it travels 45 * 9 = 405 km.

Answer:

His son is 3 years old.

Step-by-step explanation:

33 years old ... 3 less than ....  =  36

36/12  =  3

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

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

y - x =2

y = x + 2

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

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]

Answer:

(-4,-5)

Step-by-step explanation:

The coordinates of the midpoint for x = sum of x/2=2

The coordinates of the midpoint for y = sum of y/2=-2

firstly to work out x coordinate:

[tex] \frac{x + 8}{2} = 2[/tex]

rearrange to find x which is -4

work out y coordinate:

[tex]\frac{y + 1}{2} = - 2[/tex]

rearrange to find y which is -5

so coordinates are (-4,-5)

Answer:

2

Step-by-step explanation:

Answer:

2000.

Step-by-step explanation:

First, calculate both sides. 2.5x10^3= 2500 and 5x10^6=5000000

then divide 5000000/2500 = 2000

Answer:

A, B and C

Step-by-step explanation:

They all can mirror to overlap perfectly with the other side of the shape.

D and E can not

I hope this helps :)

Answer:

A    C     B

Step-by-step explanation:

those are the right answers i just did it hope it helps

Answer: call 911

Step-by-step explanation: call 911

Check the picture below.

Answer:

41

Step-by-step explanation:

53/106 = x/82 similar triangles

x=41

Answer:

Mark as brainlist

Step-by-step explanation:

Steps for dividing fractions

Find the reciprocal of the divisor. Reciprocal of 35: 53.

So, 920 ÷ 35 = 920 × 53.

= 9 × 520 × 3 = 4560.

After reducing the fraction, the answer is 34.

Answer:

3/4

Step-by-step explanation:

9/20:35=9/20/3/5

=9/20*5/3

=45/60

=simplify both numbers by 15

=3/4

Answer:

Marsha has driven 252 miles

Step-by-step explanation:

In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.

Hope this helps!

Answer: 252 miles

Step-by-step explanation:

Answer:

300 seconds

Step-by-step explanation:

There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.

5 x 60 = 300

-hope it helps

Answer:

360 sec

Step-by-step explanation:

this is because 60sec is one mintute

so 60x5= 360

Answer:

The second years payment is 17689.

Step-by-step explanation:

If the first year is $10,205 then you subtract 10205 from 27894 which is 17689.

Equation: $27894-$10,205= $17689