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3 years ago

Write and solve a real-world problem that can be modeled by the equation 0.75x-18.50=0.65x

1 answer:

6 0

Diana had chocolate, and ate some, leaving 0.75 of it for Sarah.

Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate.

how much chocolate did Diana have at the beginning?

and the solution is:

0.75x-18.50=0.65x

0.75x-0.65x=18.50
0.1x=18.50
x=185

so Diana had 185 grams of chocolate.

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What is 80 percent of 50

svet-max [94.6K]

40 Why? 80%x X=50 or 80/100x X=50

3 0

3 years ago

The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f.

viktelen [127]

f(c + a) = 2.1 c + 2.1 a - 1.7

f(1/3 x - 2/3) = 0.7 x - 3.1

f(x + 2) = 2.1 x + 2.5

f(3c) = 6.3 c - 1.7

Step-by-step explanation:

The function is f(x) = 2.1 x - 1.7

We need to use this formula to find

f(c + a)
f(1/3x - 2/3)
f(x + 2)
f(3c)

To solve the problem substitute x by each value in the bracket

∵ f(x) = 2.1 x - 1.7

f(c + a) means substitute x by c + a

∵ x = c + a

∴ f(c + a) = 2.1(c + a) - 1.7

- Multiply the bracket by 2.1

∴ f(c + a) = 2.1 c + 2.1 a - 1.7

∵ f(x) = 2.1 x - 1.7

- f(1/3 x - 2/3) means substitute x by 1/3 x - 2/3

∵ x = 1/3 x - 2/3

∴ f(1/3 x - 2/3) = 2.1(1/3 x - 2/3) - 1.7

- Multiply the bracket by 2.1

∴ f(1/3 x - 2/3) = 0.7 x - 1.4 - 1.7

- Add the like terms

∴ f(1/3 x - 2/3) = 0.7 x - 3.1

∵ f(x) = 2.1 x - 1.7

- f(x + 2) means substitute x by x + 2

∵ x = x + 2

∴ f(x + 2) = 2.1(x + 2) - 1.7

- Multiply the bracket by 2.1

∴ f(x + 2) = 2.1 x + 4.2 - 1.7

- Add the like terms

∴ f(x + 2) = 2.1 x + 2.5

∵ f(x) = 2.1 x - 1.7

- f(3c) means substitute x by 3c

∵ x = 3c

∴ f(3c) = 2.1(3c) - 1.7

- Multiply 2.1 by 3c

∴ f(3c) = 6.3 c - 1.7

Learn more:

You can learn more about the functions in brainly.com/question/628130

#LearnwithBrainly

3 0

3 years ago

What is the anwser -13-4x=x+7

Luden [163]

-13-4x=x+7

+13 +13

-4x=x+20

-x -x

-5x=20

/-5 /-5

x=-4

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hope it helps

7 0

3 years ago

Determine if this conjecture is true. If not, give a counterexample.

Pavlova-9 [17]

That would be false. 122 = 144

8 0

3 years ago

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What’s 40 41 42 43 44 45 46 47 48 49 50 IQR pls fast!!!!!

aliina [53]

Answer:

IQR = 6

Step-by-step explanation:

Given:

The given set of data is:

40 41 42 43 44 45 46 47 48 49 50

Number of terms, $n=11$

Therefore, the median is given as $(\frac{n+1}{2})^{th}$ term which is the sixth term. Median = 45

(40 41 42 43 44) 45 (46 47 48 49 50 )

Now, we find the median of the lower half ( $Q_1$ ) and upper half ( $Q_3$ )of the data that are before and after the median.

The lower half of the data has the values 40 41 42 43 44.

Number of terms are 5. So, median is the third term which is, $Q_1=42$

The upper half of the data has the values 46 47 48 49 50.

Number of terms are 5. So, median is the third term which is, $Q_3=48$

Now, IQR is given as the difference of upper half median and lower half median.

$IQR=Q_3-Q_1\\IQR=48-42=6$

4 0

4 years ago

Read 2 more answers