All categories

3 years ago

What is 3 2/5 in a/b form?

Mathematics

1 answer:

Butoxors [25]3 years ago

3 0

Step-by-step explanation:

3 2/5 in a/b form.

$3 \frac{2}{5} \\ \frac{3 \times 5 + 2}{5} \\ \frac{15 + 2}{5} \\ \frac{17}{5} \\$

You might be interested in

Using a graphing utility, find the exact solutions of the system. Round to the nearest hundredth and choose a solution to the sy

Margaret [11]

Answer:

Part 1) The exact solutions are

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ and $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

$y=x^{2} +3x$ ----> equation A

$y=2x+5$ ----> equation B

we know that

When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

Find the exact solutions of the system

equate equation A and equation B

$x^{2} +3x=2x+5\\x^{2} +3x-2x-5=0\\x^{2} +x-5=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-5=0$

$a=1\\b=1\\c=-5$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-5)}} {2(1)}$

$x=\frac{-1\pm\sqrt{21}} {2}$

The solutions are

$x_1=\frac{-1+\sqrt{21}} {2}$

$x_2=\frac{-1-\sqrt{21}} {2}$

Find the values of y

First solution

For $x_1=\frac{-1+\sqrt{21}} {2}$

$y=2(\frac{-1+\sqrt{21}} {2})+5$

$y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}$

The first solution is the point $(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$

Second solution

For $x_2=\frac{-1-\sqrt{21}} {2}$

$y=2(\frac{-1-\sqrt{21}} {2})+5$

$y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}$

The second solution is the point $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Round to the nearest hundredth

First solution

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ -----> $(1.79,8.58)$

$(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$ -----> $(-2.79,-0.58)$

see the attached figure to better understand the problem

6 0

4 years ago

What inequality symbol belongs in the circle: -4 _ 5 30 POINTS!

navik [9.2K]

Answer:

Step-by-step explanation:

Inequality symbols:

< less than

> greater than

= equal to

≤ less than or equal to

≥ greater than or equal to

In this case, it is known that -4 is less than 5, or:

-4 < 5.

7 0

3 years ago

Read 2 more answers

jony is twice as old as chika. jony is now 2 years old how old will chika be when jony is 30 years old

Serjik [45]

Jony is 2 now and is 2x older than Chika. So Chika is 1 year old. This means Chika is 1 year younger than Jony. When Jony is 30, Chika is 29

5 0

4 years ago

A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if

Yakvenalex [24]

Answer:

The area of a label is $62.8\ in^{2}$

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

$LA=2\pi rh$

we have that

A can is 4 inches wide

The diameter of the can is 4 inches

$r=4/2=2\ in$ ----> the radius is half the diameter

$h=8-3=5\ in$ ----> height of the label

substitute in the formula

$LA=2(3.14)(2)(5)=62.8\ in^{2}$

5 0

4 years ago

The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar

Naddika [18.5K]

Answer:

Step-by-step explanation:

5x7=35. Unfortunately I can't show you a model to explain further.

4 0

3 years ago