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3 years ago

3x+15-7x=-7 solve for x

2 answers:

6 0

You can combine like terms:(3x and -7x)
-4x+15=-7
now, we subtract 15 from both sides:
-4x=-22
finally, we divide both sides by -4
x=5.5 or 5 1/2

xenn [34]3 years ago

5 0

3x+15−7x=−7

Simplify:

3x+15−7x=−7

3x+15+−7x=−7

(3x+−7x)+(15)=−7(Combine Like Terms)

−4x+15=−7

Subtract 15 from both sides.

−4x+15−15=−7−15

−4x=−22

Divide both sides by -4.

−4x/−4=−22/−4

x=11/2

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The critical value t* gets larger as the confidence level increases. True or false?

posledela

Answer:

We can find the critical value $t_{\alpha/2}$

And for this case if the confidence increase the critical value increase so then this statement is True

Step-by-step explanation:

For a confidence level given c, we can find the significance level like this:

$\alpha=1 -c$

And with the degrees of freedom given by:

$df=n-1$

We can find the critical value $t_{\alpha/2}$

And for this case if the confidence increase the critical value increase so then this statement is True

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3 years ago

George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th

FromTheMoon [43]

We are given the equations:

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

Answer:

<span>George will choose some of each commodity but more y than x.</span>

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3 years ago

dwight bought 10 acres of land and built a house on 2.0 acres. dwight wanted to plant beets on the remaining 8.0 acres. if it ta

aleksklad [387]

Using mathematical operations and unit conversions, the number of beets that Dwight can grow on the 8 acres is <u>3,885 beets</u>.

<h3>What are mathematical operations?</h3>

Mathematical operations include the use of basic math operators to calculate the values of mathematical statements.

The math operators include addition, multiplication, division, subtraction, exponentiation, and modulus.

<h3>Data and Calculations:</h3>

The measurement of the land = 10 acres

The measurement of the house on the land = 2 acres

The remaining space on the land = 8 acres

The number of beets on 1/8 (0.125) hectare = 150 beets

1 hectare = 2.47105 acres

8 acres = 3.23749 hectares (8/2.47105)

If 0.125 hectares = 150 beets

3.23749 hectares = 150/0.125 x 3.23749

= 3,885 beets

Thus, the number of beets that Dwight can grow on the 8 acres is <u>3,885 beets</u>.

Learn more about mathematical operations at brainly.com/question/20628271

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Answer:

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Step-by-step explanation:

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