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zhuklara [117]
2 years ago
13

The graph below shows how many cookies can be made depending on how many cups of flour are used. How many cookies will be made i

f 18 cups of flour are used?
192 cookies
96 cookies
48 cookies
288 cookies

Mathematics
2 answers:
koban [17]2 years ago
7 0

Answer:

288

Step-by-step explanation:

Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.

You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change

96/6 = 16.

Now multiply 18 and 16 to get the number of cookies.

18 x 16 = 288

vichka [17]2 years ago
7 0
The answer to the following equation is 288 cookies
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Iv)<br>6x+3y=6xy<br>2x + 4y= 5xy​
Margaret [11]

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

8 0
2 years ago
Solve and check<br> SOLVE:<br> 2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4
vlada-n [284]

Good morning ☕️

______

Answer:

x=4

___________________

Step-by-step explanation:

-Solving:

2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4

2x + 5 – 6x + 21 = 6x – 10 – 4

-4x + 26 = 6x - 14

10x= 26+14

10x=40

x=4

-Checking:

x=4

2(4) + 5 – 3 (2(4) - 7) = 8+5-3(8-7) = 13-3(1) =13-3=10

2 (3(4) – 5) – 4 = 2(12-5)-4 = 2(7)-4=14-4=10.

_______________________________

:)

8 0
3 years ago
Given x=-3, y=6, and z=-4 -15+(-x)+y= Thank you for your help!
lesya692 [45]

Solution:

Given, x=-3, y=6, and z=4

Putting these values in the given equation:

-15+(-x)+y

= -15+(-(-3)+6

= -15+3+6

= -15+9

= -6

6 0
2 years ago
Which of the following is a geometric sequence
Romashka [77]

Answer:

C. -3, 3, -3, 3, ...

Step-by-step explanation:

-3×-3 = 3

3×-3 = -3

etc...

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
Describe 2 ways that an exterior angle of a triangle is related to one or more or the interior angles
shtirl [24]
The 2 angles at a vertex are supplementary (one interior and one exterior) the exterior angle is = the the sum of the 2 remote interior angles..
8 0
2 years ago
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