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3 years ago

1 over 3b = 4 over 5. which of the following equals b in this equation?

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

$b=2\frac{2}{5}$

Step-by-step explanation:

we have

$\frac{1}{3}b=\frac{4}{5}$

solve for b

That means ---> isolate the variable b

Multiply by 3 both sides

$\frac{1}{3}b(3)=\frac{4}{5}(3)$

simplify

$b=\frac{12}{5}$

Convert to mixed number

$\frac{12}{5}=\frac{10}{5}+\frac{2}{5}=2\frac{2}{5}$

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Given the figure below find the values of x and z <br> (12x +2)°<br> 94°<br> z°

MAXImum [283]

Answer:

z = 94

x = 7

Step-by-step explanation:

The angle with a measure of 94° and the angle labeled "z" are vertical angles

Vertical angles are congruent ( equal to each other )

Which means that because "z"s vertical angle = 94° z also equals 94°

The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles

Supplementary angles add up to equal 180

Hence, 94 + 12x + 2 = 180

^ (Note that this is the equation we will use to solve for x )

Now we solve for x

94 + 12x + 2 = 180

step 1 combine like terms

94 + 2 = 96

we now have 180 = 96 + 12x

step 2 subtract 96 from each side

180 - 96 = 84

96 - 96 cancels out

we now have 84 = 12x

step 3 divide each side by 12

84 / 12 = 7

12x / 12 = x

we're left with x = 12

6 0

3 years ago

Read 2 more answers

Parking at a large university has become a very big problem. University administrators are interested in determining the average

OleMash [197]

Answer:

Inferential statistic

Step-by-step explanation:

The art of making deductions or data driven predictions from statistical data refers to an aspect of statistics called Inferential statistics. Inferential statistics differs from descriptive statistics which is another aspect which focuses on presenting characteristics of data. Here, we make statistical deductions about the entire population from the results obtained about the sample statistic. In the scenario above, the statistic derived from the sample data will be used to make deductions about the general population of students who park in the university. Therefore, from the statistic obstaied from the sample, we infer about the population.

5 0

3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.

Ksju [112]

Answer:

The answer is y = x + 38

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4 0

3 years ago

Given ƒ(x) = 14x + 42, find x when ƒ(x) = 35. A) − 12 Eliminate B) −1 C) 1 D) 3

balandron [24]

Step-by-step explanation:

$f(x)=14x+42$

$f(x)=35$

Given the information above, we can simply set up an equation so we can find the value of x.

$14x + 42 = 35$

Subtract 42 on both sides.

$14x=-7$

Divide 14 on both sides.

$x=-\frac{1}{2}$

So, the value of x is equal to -1/2 when f(x) is 35.

6 0

3 years ago

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

3 years ago