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3 years ago

Solve algebraically for x and explain each step( using mathematical vocbuary) for the following: 2(x+5)+ 3x = 30

1 answer:

8 0

First do distributive property
2x + 10 + 3x = 30
Now combine like terms
5x + 10 = 30
Subtract 10 from both sides
5x = 20
Divide both sides by 5
x = 4

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3 years ago

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Reena bought a mobile phone for 16,240 that included a GST of 12%. Find the price of the mobile phone before the GST was added.

NNADVOKAT [17]

Answer: 14500

Step-by-step explanation:

Let the price of the mobile phone before the GST was added be represented by x.

Therefore,

x + (12% × x) = 16240

x + 0.12x = 16240

1.12x = 16240

x = 16240/1.12

x = 14500

The price of the mobile phone before the GST was added was 14500

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3 years ago

A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a=a1+

egoroff_w [7]

Answer:

$a=\frac{3\times 7}{7}+\frac{12}{7}$ (First step for obtaining a common denominator for the two fraction)

$a=\frac{33}{7}\text{ m/s}^2$

Step-by-step explanation:

$\text{Given Expression: }a=a_1+\frac{F}{m}$

where,

a is acceleration of an object.(Need to calculate)

$a_1=3.00\text{ m/s}^2$

$F=12.0\text{ Kg.m/s}^2$

$m=7.00\text{ kg}$

$\text{Substitute }a_1, \text{ F, and m into expression and we get}$

$a=3+\frac{12}{7}$

Now we will simplify above expression for a

First we make common denominator.

Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get

$a=\frac{3\times 7}{7}+\frac{12}{7}$ (First step for obtaining a common denominator for the two fraction)

Now we combine the numerator

$a=\frac{21+12}{7}$

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3 0

3 years ago

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I need help on this one asap pliz

Doss [256]

$C(5,4)(.40)^4(1-.40)^1=5(.4)^4(.6)^1=0.0768$

That's 7.68% = 7.7% (rounded)

Note: C(5, 4) is the number of combinations of 5 things taken 4 at a time. You may have seen this written as $_5C_4$

In general, $C(n,r)=\frac{n!}{r!(n-r)!}$

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3 years ago

Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 90% confidence

poizon [28]

Answer:

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Step-by-step explanation:

A. One has 90% confidence that the sample proportion is equal to the population proportion.

Confidence interval gives an interval estimate, not an equality

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Ture.

C. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Also true but One has 90% confidence is not good interpretation.

D. 90% of sample proportions will fall between the lower bound and the upper bound.

Lower bound and upper bound is given to estimate population proportion.

4 0

3 years ago