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2 years ago

Six years ago annabelle was twice as old as jason was. now, annabelle is four years older than jason. how old is jason now?

1 answer:

4 0

Now: a=j+4
6 years ago: Anabelle: a-6; Jason: j-6

$a-6=2(j-6) \\ a=2j-12+6 \\ a=2j-6 \\ \\ j+4=2j-6 \\ 4+6=2j-j \\ j=10 \\ \\ a=2(10)-6 \\ a=14$

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Marta_Voda [28]

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8 0

2 years ago

Simplify 60 - 2 + 6(4).

Talja [164]

58+24=82 is the correct answer to that question because you subtract 2 from 60 then add that to 6 multiplied by 4

7 0

3 years ago

Read 2 more answers

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter

andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

$tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }$

$sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }$

sin(2α) = 2 sinα cosα

So,

$1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})$

See what you can do with the others.

6 0

2 years ago

Mr. Ivey teaches dance at the middle school. His classes are 90 minutes long, and he spends 94% of class time teaching strength

Anton [14]

Answer:

84.6 minutes

Step-by-step explanation:

94% of 90 minutes =

= 0.9 * 94 minutes

= 84.6 minutes

8 0

2 years ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U

tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.10}})^2$

n = 4.9²

n = 24.01 ≈ 25 (Rounded off to next integer)

b) for margin of error = $0.07

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.07}})^2$

n = 7²

n = 49

c) for margin of error = $0.05

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.05}})^2$

n = 9.8²

n = 96.04 ≈ 97 (Rounded off to next integer)

6 0

3 years ago