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3 years ago

Which equation can be used to represent the statement?

Mathematics

2 answers:

lord [1]3 years ago

8 0

Answer:

16 = $\frac{6x}{5}$ - 8

Step-by-step explanation:

Topic: One Unkown equation, mixed numbers

first we have to establish our variables, we only have one so we call

x = "a number"

and we start building our one unknown equation part by part by reading

"Sixteen is the same" means in math that "x ="

"one and two tenths" 1 $^{2/10}$

this means we have (remember how to sum fractions?)

1 + 2 / 10 = 10/10 + 2/10 = 12/10 = 6/5

so " one and two tenths times a number added to negative 8" become $\frac{6x}{5}$ + (-8)

so we have our equation

16 = $\frac{6x}{5}$ + (-8) or 16 = $\frac{6x}{5}$ - 8

serg [7]3 years ago

7 0

Answer:

of the number is X, 16 = 1 + (2/10)×X - 8

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Problem 3. if f(x) = /2x-5 and g(x) = 5x? -- 3, find (gºf)(x). (Step by step please<3)

kramer

(1) f(x) = x² - 4x + 2, g(x) = 3x - 7

(f o g) (x) = f(g(x)) = f (3x - 7)

= (3x - 7)² - 4(3x - 7) + 2

= (9x² - 42x + 49) + (-12x + 28) + 2

= 9x² - 57x + 79

(2) g(x) = -6x + 5, h(x) = -9x - 11

(g o h) (x) = g(h(x)) = g (-9x - 11)

= -6(-9x - 11) + 5

= 54x + 66 + 5

= 54x + 71

(3) f(x) = √(2x - 5), g(x) = 5x² - 3

(g o f) (x) = g(f(x)) = g(√(2x - 5))

= 5 (√(2x - 5))² - 3

= 5 (2x - 5) - 3

= 10x - 25 - 3

= 10x - 28

8 0

3 years ago

The mean per capita consumption of milk per year is 140 liters with a standard deviation of 22 liters. If a sample of 233 people

salantis [7]

Answer: 0.0192

Step-by-step explanation:

Given : The mean per capita consumption of milk per year : $\mu=140\text{ liters}$

Standard deviation : $\sigma=22\text{ liters}$

Sample size : $n=233$

Let $\overline{x}$ be the sample mean.

The formula for z-score in a normal distribution :

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For $\overline{x}=137.01$

$z=\dfrac{137.01-140}{\dfrac{22}{\sqrt{233}}}\approx-2.07$

The P-value = $P(\overline{x}$

Hence, the probability that the sample mean would be less than 137.01 liters is 0.0192 .

4 0

4 years ago

Solve for v in terms of s, t, u, and w. wv=uts v=___

laiz [17]

$wv=uts\implies v=\frac{uts}{w}$

we needed to eliminate w, do so by diving both sides by w and obtain the above result :)

Hope this helps.

8 0

3 years ago

7. Krista wrote a list of factors and a list

Hatshy [7]

Answer:

3:12, 5:50, 7:14, 11:22

Step-by-step explanation:

All these numbers are multiples of each other. They are also divisible by each other. 12 is divisible by 3, 50 is divisible by 5, 14 is divisible by 7, and 22 is divisible by 11.

Hope this helps.

6 0

3 years ago

A drawer contains quarters and nickels. There are 200 total coins valuing $30.00. Think about a system of equations that can be

Margaret [11]

Answer:

100

Step-by-step explanation:

Let n and q represent the numbers of nickels and quarters, respectively. A suitable system of equations is ...

n + q = 200 . . . . . . there are 200 coins in the drawer

5n +25q = 3000 . . .their value is $30.00

For mixture problems like this, it is often a good idea to substitute for the variable representing the contributor of lower value. That is, we want to write an expression for n that we can use for substitution.

Using the first equation to solve for n, ...

n = 200 - q

Substituting this into the second equation gives ...

5(200 -q) +25q = 3000

1000 +20q = 3000 . . . . . . simplify

20q = 2000 . . . . . . . . . . . . subtract 1000

q = 100 . . . . . . . . . . . . . . . . divide by 20

n = 200 -q = 100 . . . . . . . . the number of nickels, as we want

_____

Comment on the solution

We solved for q, then had to do an extra step to find the value of n that the problem asks for. Had we written q = 200-n and used that for substitution, we would have ended with the equation -20n = -2000. This would give the answer for n directly (with no additional steps required).

Sometimes working with negative numbers is uncomfortable or results in errors, so we chose to use the solution method that would avoid negative numbers.

___

Comment on the problem statement

We are told about coins in a drawer, and we are asked about coins in a jar. There is not enough information to answer the question asked. We have had to assume that both refer to the same quantity of coins—an assumption that is not supported by anything in the problem statement.

8 0

3 years ago

Read 2 more answers