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horrorfan [7]
3 years ago
5

Do the ratios 8/16 and 1/2 form a proportion?

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

They both equal to one half, which makes them proportional

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What is the solution for the system of equations {9x+8y=3 6x−12y=−11?
lions [1.4K]

Answer:

( - \frac{1}{3}, \frac{3}{4} )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = \frac{-6.5}{19.5} = - \frac{1}{3}

Substitute this value into either of the 2 equations and solve for y

Using (1), then

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = \frac{6}{8} = \frac{3}{4}

Solution is (- \frac{1}{3}, \frac{3}{4} )

6 0
3 years ago
David and his friends are making lasagna for a school dinner. There will be 400 people at dinner. The recipe for 100 people uses
blagie [28]
134.4$ will be spent on hamburgers
3 0
3 years ago
Read 2 more answers
When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate
svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

  • Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505

8 0
2 years ago
A photo album costs $10.49 before discount and tax.
Gemiola [76]

Answer:

Total after tax and discount is $7.78

Step-by-step explanation:

(10.49×0.3)= 3.15

10.49 - 3.15 = 7.34

(7.34×0.06)= 0.44

7.34 + 0.44 = 7.78

7 0
3 years ago
How to solve x9+y10=4
Taya2010 [7]

Answer:

if you meant 9x+10y=4 then the x intercepts are (4/9,0) and the y intercepts are (0,2/5).

Step-by-step explanation:

5 0
2 years ago
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