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3 years ago

There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys

Mathematics

2 answers:

yaroslaw [1]3 years ago

5 0

Answer:

14 are boys

Step-by-step explanation:

5 goes into 35 7 times, so you would multiply 7 x 2 and get 14

agasfer [191]3 years ago

3 0

Answer: 14 boys

Step-by-step explanation:

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The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

Leya [2.2K]

Answer:

The equation of the circular wheel is $x^2+(y-74)^2=(70)^2$ .

Step-by-step explanation:

Given :

Radius of Ferris wheel r = 70 feet.

The distance between the wheel and the ground = 4 feet.

Also, the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel.

So the x coordinate of center of wheel must be 0 , and y coordinate = 70 + 4 = 74

Thus, Coordinates of center = (0,74)

The equation of circle is given by :-

$(x-h)^2+(y-k)^2=r^2$

Now center (h,k) = (0,74) and r = 70 , we get

$x^2+(y-74)^2=(70)^2$

Hence, the equation of the circular wheel is $x^2+(y-74)^2=(70)^2$ .

6 0

3 years ago

Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)

vredina [299]

Answer:

value: $66,184.15
interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

The future value of the annuity due is $66,184.15.

The total interest earned is the difference between the total of deposits and the future value:

$66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

3 0

2 years ago

A leg of a right triangle measures 63 yards,

erma4kov [3.2K]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which equation best represents the graph above

Svet_ta [14]

Answer:

x = -1

Step-by-step explanation:

Since the line is completely vertical there is no slope.

When a line is completely vertical, the setup is x = ___ (fill in the blank with the number that the line intersects on the x axis, in this case -1.)

When a line is completely horizontal (not applicable in this problem) the setup is y = ___ (fill in the blank with the number the line intersects on the y axis.)

7 0

3 years ago

If f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)

BartSMP [9]

The equation of f(x) is f(x) = x + 4

<h3>How to determine the equation?</h3>

The given parameters are

f(-1) = 3 and f(1) = 5

Start by calculating the slope (m) using:

$m = \frac{f(1) - f(-1)}{1 - -1}$

This gives

$m = \frac{5 - 3}{1 + 1}$

Evaluate

m = 1

The equation is then calculated as;

f(x) = m(x - x1) + f(-1)

This gives

f(x) = 1(x + 1) + 3

Expand

f(x) = x + 4

Hence, the equation of f(x) is f(x) = x + 4