Write the following fractions as mixed number: 46/9, and 32/5

Answers

Answer 1

Answer:

[tex]5 \frac{1}{9}[/tex]

[tex]6 \frac{2}{5}[/tex]

Step-by-step explanation:

We can convert these improper fractions into mixed numbers by seeing how many times the denominator goes into the numerator.

In [tex]\frac{46}{9}[/tex], 9 goes into 46 5 times, with a remainder of 1. So:

[tex]5 \frac{1}{9}[/tex].

In [tex]\frac{32}{5}[/tex], 5 goes into 32 6 times with a remainder of 2, so:

[tex]6 \frac{2}{5}[/tex].

Hope this helped!

Answer 2

Answer:

5 1/9 and 6 2/5

Step-by-step explanation:

The simplest way to convert improper fractions into mixed fractions is by long division (see attached).

Write The Following Fractions As Mixed Number: 46/9, And 32/5

Related Questions

Is it true or false that this is the graph of f(x) = 3^x?

Answers

Answer: False, this is not the graph of f(x) = 3^x

=====================================================

Explanation:

Plug in x = 0 to get

f(x) = 3^x

f(0) = 3^0

f(0) = 1

That means (0,1) is on the graph. So far so good.

-------

But let's try x = 1

f(x) = 3^x

f(1) = 3^1

f(1) = 3

Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.

The red curve shows the equation y = 4^x.

What the relation of 1/c=1/c1+1/c2 hence find c​

Answers

[tex]\frac 1c=\frac1{c_1}+\frac1{c_2} [/tex]

$\frac1c=\frac{c_1+c_2}{c_1c_2}$

$\implies c=\frac{c_1c_2}{c_1+c_2}$

What is 15+(-11) simpyfied​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

4

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\15+(-11)\\----------------\\\rightarrow 15 +1(-11)\\\\\rightarrow 15 - 11\\\\\rightarrow \boxed{4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

your answer will obviously be 4

The number of solutions of |x - 1| + |x - 3| = 2 is​

Answers

Hope my answer helped u :)

Answer:

There are 3 intervals as following:

x ≤ 1

-(x - 1) - (x - 3) = 2-2x + 4 = 22x = 2x = 1

1 ≤ x ≤3

(x - 1) - (x - 3) = 22 = 2, any value of x in the same interval

x ≥ 3

(x - 1) + (x - 3) = 22x - 4 = 22x = 6x = 3

Combining the all, we get:

1 ≤ x ≤3 or x = [1, 3]

y= 3x - 15
x+y=13
find the solution

Answers

Answer:

x+3x-15=13

4x=28

x=7

......

Answer:

[tex]y = 3x - 15 \\ \\ to \: find \: x \: substitute \: y \: into \: 0\\ \\ 0 = 3x - 15 \\ - 3x = - 15 \\ divide \: both \: sides \:by \: - 3 \\ \\ x = 5[/tex]

Solve for y.
y/-1 +-7=-11​

Answers

Answer:

y = 4

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

-y = -4

Multiply each term in  − y  =  − 4  by  − 1

y = 4

Hope this can help you

Find the value of a,b,c and x from the following figure

Answers

Answer:

L=110

d=110

b=70

a=70

c=110

Let f(x)=logx. What is the average rate of change of f(x) from 2 to 3? Round to the nearest hundredth.

Answers

Answer:

Below

Step-by-step explanation:

Let m be the average rate of change.

● m = (f(3)-f(2)) / 3-2

● m = ( log3 - log2) / 1

● m = 0.176

Round it to the nearest tenth

● m = 0.18

PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST ​

Answers

Answer:
26. A
27. A

Explanation:

What is the product 1/2 * 1/8

Answers

Answer:

1/16

Step-by-step explanation:

........ .. .............

Answer:

1/16.

Step-by-step explanation:

If the question says to find the product, it means to multiply these numbers.

1/2✖️1/8.

Because you cannot cancel out any numbers, you can just multiiply the numerator and the denominator, which gives 1/16.

Hope this helped!

Have a nice day:)

Evaluate the following expression. −8 × (−10) −7× 1/−1

Answers

Answer:

87

Step-by-step explanation:

[tex]-8\left(-10\right)-7 \times \frac{1}{-1}=87\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=8\times \:10-7\times \frac{1}{-1}\\\\8\times \:10=80\\\\7\times \frac{1}{-1}=-7\\\\=80-\left(-7\right)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=80+7\\\\=87[/tex]

Segment overline BD bisects angle ABC . Solve for Round to the nearest tenth, if necessary (Image not necessarily to scale.)

Answers

Answer:

Hello,

Answer 52/3

Step-by-step explanation:

using the theorem of the bissector :

[tex]\dfrac{x}{13} =\dfrac{20}{15 } \\\\x=\dfrac{20*13}{15} \\\\x=\dfrac{52}{3}[/tex]

The value of x to the nearest tenth is 18.5

Pythagoras theorem

To get the value of x, we first need to get the height of the triangle.

[tex]h^2=20^2-15^2\\h^2=400-225\\h^2=175\\h=13.23[/tex]

Next is to get the value of x

[tex]x^2=13^2+13.2^2\\x^2=343.24\\x=18.52[/tex]

Hence the value of x to the nearest tenth is 18.5

Learn more on pythagoras theorem: https://brainly.com/question/343682

I need help one this question how do you Factor 75 - 95.

Answers

Answer:

+-(1,2,4,5,10,20)

Step-by-step explanation:

well if this is factors of -20 (bc 75-95=-20)

then it will be +-(1,2,4,5,10,20)

Find the sum of −2 5/10 and −5 4/15. Then, in two or more complete sentences, explain the steps you used to add the mixed numbers.

Answers

Answer:

Exact Form: -5/2, -79/15            Decimal form: -2.5, -5.26      mixed number form: -2 1/2,   -5 4/15

Answer:

-7  9/10

Step-by-step explanation:

First, I converted the mixed numbers into improper fractions, which left me with 25/10 plus 79/15. I had to find common denominators for the both of them, and I ended up with 30. 10 goes into 30 3 times, and 3 times 25 is 75. 15 goes into 30 two times, and 2 times 79 is 158. That left me with 75/30 plus 158/30 and my first answer was 237/30. I then had to convert that improper fraction into a mixed number. 237 divided by 30 is 7 with a remainder of 27. My next answer to this problem was

7  9/10. A negative plus a negative equals a negative number, so the final answer is -7  9/10.

Given: A and B are complementary angles. B and C are complementary angles. Prove: A C

Answers

Answer:

see below

Step-by-step explanation:

Complementary means that they add to 90 degrees

<A + <B = 90  given

<B + <C = 90  given

<A + <B = <B + <C  substitution property of equality.

<A = <C  subtraction property of equality

Which expressions are factors of the quadratic function represented by this graph?
A. x and (x+6)
B. (x-6) and (x+6)
C. x and (x-6)
D. x and -6x

Answers

Answer:

C. [tex]x[/tex] and $(x-6)$

Step-by-step explanation:

The roots of the quadratic equation are $0$ and $6$.

Hence the equation is $(x-0)(x-6)=x(x-6)$

Answer:

See below

Step-by-step explanation:

HELP ASAP PLEASE!!!!!!!!!!!!!!!!!

Answers

Answer:

A

C

D

Step-by-step explanation:

√54 or√9 *√6 or √27 *√4

are equal to the answer.

You can do that by doing the square of outer number which is 3 which equals to 9 when squared and multiplying that with the number inside the square root.

The sum of three times a number and 6 is 4 times the difference of a number and "-3"

Answers

Answer:

x = 30

Step-by-step explanation:

i hope it help, sorry if its wrong

Evaluate 2a + c if a = 2 and c = -1

Answers

Answer:

[tex]2a + c \\ a = 2 \\ c = - 1 \\ then \: 2 \times 2 + - 1 \\ = 4 - 1 = 3 \\ thank \: you[/tex]

Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.


a. If c represents the cost and ݄ represents the hours, which variable is the dependent variable?


b. What would be the cost of renting 2 snowmobiles for 5 hours? please and thanks ( i"ll give brainiest )

Answers

a) The cost is the dependant variable, while the hours are the independent variable.

b) 2($37.50) = $75
Therefore it would cost $75 to rent 2 snowmobiles for 5 hours.

(x+4)^2 - (x-6)^2 - (x-1)*(x+1)

Answers

Answer:

-9

Step-by-step explanation:

How many and of which kind of roots does the equation f(x) = x3 – x2 – x + 1 have?
A. 2 real; 1 complex
B. 1 real; 2 complex
C. 3 real
D. 3 complex

Answers

C i think.................

The kind of roots does the equation f(x) is option (C) 3 real roots is the correct answer.

What is a polynomial equation?

A polynomial equation is a sum of constants and variables. A polynomial is an expression consisting of indeterminate's (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

For the given situation,

The equation [tex]f(x) = x^3 - x^2 - x + 1[/tex]

The roots of the polynomial equation can be found as follows,

Step 1:

Substitute the value of x in which the equation f(x) equals zero.

⇒ Put [tex]x = 1[/tex], the equation becomes

⇒ [tex]f(1) = 1^3 - 1^2 - 1 + 1[/tex]

⇒ [tex]f(1) = 0[/tex]

Thus [tex](x - 1)[/tex] is the one root of the equation.

Step 2:

The other roots can be found by framing the quadratic equation on dividing the equation [tex]f(x) = x^3 - x^2 - x + 1[/tex] by [tex](x - 1)[/tex]

On dividing [tex]f(x) = x^3 - x^2 - x + 1[/tex] by [tex](x - 1)[/tex] we get the quotient,

⇒ [tex](x^{2} -1)[/tex]

Step 3:

Now factorize the quadratic equation, [tex](x^{2} -1)[/tex]

It can be expand using the identity,

⇒ [tex](x^{2} -1^{2} ) = (x+1)(x-1)[/tex]            [∵ (a^2 - b^2) = (a+b)(a-b) ]

Thus the factors of the equation are [tex](x-1)(x+1)(x-1)[/tex]. So the roots are [tex]1,-1,1[/tex].

Hence we can conclude that the kind of roots does the equation f(x) is option (C) 3 real roots is the correct answer.

Learn more about polynomials here

https://brainly.com/question/1869917

#SPJ3

Find the perimeter of the square. Be sure to write the correct unit in your answer.


21 yd

Answers

Perimeter is the distance around the outside.

A square has 4 equal sides:

Perimeter = 21 x 4 = 84 yards

Answer: Perimeter = 84 yd

Explanation:

Perimeter of square = 4 × side

Side = 21 yd

Perimeter = 4 × 21

= 84 yd

Must click thanks and mark brainliest

21. Evaluate f(x) = 3x + 8 for x = 1.

Answers

Answer:

f(1) = 11

Step-by-step explanation:

f(x) = 3x + 8

Let x=1

f(1) = 3(1) +8

    = 3+8

   = 11

A school bus has seating for 75 students. There are 13 buses at a school. What is the maximum number of students
the buses can seat
225 students
750 students
975 students
985 students
Help

Answers

Answer:

75 students and 13 buses are just 75 x 13

975 students

Step-by-step explanation:

75 x 13 = 975

Answer:

975

Step-by-step explanation:

13 x 75 = 975

When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? X equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a 6 42 57 105

Answers

Answer:

The value of r is 105

Step-by-step explanation:

Quadratic equation helps us to solve any quadratic equation. The formula is:

(-b ± √b² - 4ac) ÷ 2a

For the quadratic equation ax²+bx+c

For the equation: X² - 9x - 6:

a = 1, b = -9 and c = -6

Replacing in the quadratic formula:

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

That means, the value of r is 105

Answer:

105 is right

Step-by-step explanation:

I took the test

What us 6+8(4w-7)-(2w+1)

Answers

Answer:

30w-51

Step-by-step explanation:

6+8(4w-7)-(2w+1)

Distribute

6 + 32w-56 -2w-1

Combine like terms

32w-2w  +6-56 -1

30w-51

Answer:W=1.7

Step-by-step explanation: Simplifying

0 = 6 + 8(4w + -7) + -1(2w + 1)

Reorder the terms:

0 = 6 + 8(-7 + 4w) + -1(2w + 1)

0 = 6 + (-7 * 8 + 4w * 8) + -1(2w + 1)

0 = 6 + (-56 + 32w) + -1(2w + 1)

Reorder the terms:

0 = 6 + -56 + 32w + -1(1 + 2w)

0 = 6 + -56 + 32w + (1 * -1 + 2w * -1)

0 = 6 + -56 + 32w + (-1 + -2w)

Reorder the terms:

0 = 6 + -56 + -1 + 32w + -2w

Combine like terms: 6 + -56 = -50

0 = -50 + -1 + 32w + -2w

Combine like terms: -50 + -1 = -51

0 = -51 + 32w + -2w

Combine like terms: 32w + -2w = 30w

0 = -51 + 30w

Solving

0 = -51 + 30w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-30w' to each side of the equation.

0 + -30w = -51 + 30w + -30w

Remove the zero:

-30w = -51 + 30w + -30w

Combine like terms: 30w + -30w = 0

-30w = -51 + 0

-30w = -51

Divide each side by '-30'.

w = 1.7

Simplifying

w = 1.7

A cylindrical tank whose diameter is 1.4 metres and height 80 cm is initially empty. Water whose volume is 492.8 litres is poured into the tank. Determine the fraction of the tank filled with water. (4 mark

Answers

Answer:

The fraction filled with water is 7/40

Step-by-step explanation:

Okay.

Here we start by calculating the volume of the cylindrical tank.

Mathematically, that would be;

V = π * r^2 * h

From the question

r = 80 cm = 80/100 = 0.8 meters

h = 1.4 meters

π = 22/7

Plugging these values into the volume equation, we have;

V = 22/7 * 0.8 * 0.8 * 1.4 = 2.816 m^3

But mathematically;

1 m^3 = 1000 liters

So 2.816 m^3 = 2.816 * 1000 = 2816 liters

So the fraction filled with water will be;

492.8/2816 = 0.175 = 175/1000 = 7/40

Here are the ages (in years) of 10 professors at a college. , 47, 44, 48, 43, 35, 65, 56, 37, 7351 What is the percentage of these professors who are younger than 50?

Answers

Answer:

50%

Step-by-step explanation:

We are given this set of data: Age of professors in years

47, 44, 48, 43, 35, 65, 56, 37, 73,51

We can firstly rearrange the years properly in ascending order.

Hence we have:

35, 37, 43, 44, 48, 51, 53 56, 65, 73

The number of the professor given = 10 professors

The number of professors younger 50 years = 5

Therefore, the percentage of these professors who are younger than 50

Is:

5/10 × 100 = 50%

Therefore, 50% of the professors are younger than 50

1. What is the basic economic problem that societies must solve?

A Who will consume the goods and services?
B How will the goods and services be produced?
C What goods and services should be produced?
D How to allocate resources in order to best satisfy the needs and wants of people.
2.
In which economic system are price signals, resulting from supply and demand forces, the only determining factor for the goods and services that the economy produces?

A a market economy
B a traditional economy
C a mixed economy
D a command economy

3.
How do property rights influence the exchange of goods and services in the market?

A Property rights determine ownership of resources among businesses, individuals, and governments.
B Property rights prevent market failures from arising in an economy.
C Property rights allow consumers' wants and needs to control the output of producers.
D Property rights prevent producers from exhibiting profit-seeking behavior.

4.A traditional economy is an economy where ____________

A economic decisions are based on price signals from supply and demand forces.
B economic decisions are based on traditions, culture, and beliefs.
C economic decisions are made by the government.
D economic decisions are made by the government for some resources and are based on supply and demand forces for others.

5. Which economy has the highest level of consumer sovereignty?

A command economy
B market economy
C mixed economy
D traditional economy

Answers

Answers

Step-by-step explanation:

1.D

2.A

3. A

4. B

5. B

Answers!

- What is the basic economic problem that societies must solve?

       - How to allocate resources in order to best satisfy the needs and wants of people.

- In which economic system are price signals, resulting from supply and demand forces, the only determining factor for the goods and services that the economy produces?

      - a market economy

- How do property rights influence the exchange of goods and services in the market?

      - Property rights determine ownership of resources among businesses, individuals, and governments.

- A traditional economy is an economy where ____________

      - economic decisions are based on traditions, culture, and beliefs.

- Which economy has the highest level of consumer sovereignty?

      - market economy

Hope this helps! :)

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