Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6

5
4
2

Answers

Answer 1

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2


Related Questions

In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?

Answers

Answer:

unit rate= 4-kilometers/minute   expected time= 56 minutes

Step-by-step explanation:

14 kilometers x 4 kilo/minute = 56 minutes

A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these rules does y represent the altitude of the hot air balloon, if x represents the number of seconds since the pilot started her landing?

Answers

Answer:

The answer is "150 seconds".

Step-by-step explanation:

[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]

[tex]time= \frac{distance}{speed}\\\\[/tex]

        [tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]

Write the equation y=4x+9 in standard form using integers.

Answers

Answer:

[tex]4x-y=-9[/tex]

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

[tex]4x-y=-9[/tex]

I hope this helped you :D

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 2 is an equation.

2x + 4y + 4 is an equation.

We have,

y = 4x + 9

This is in the slope-intercept form of an equation.

The standard form of an equation is written as:

x + y = c

We need to keep the variable in the equation on one side and a constant on the other side of the equation

Now,

y = 4x + 9

Subtract 4x on both sides.

y - 4x = 4x + 9 -4x

y - 4x = 9

-4x + y = 9

This is in the form of a standard equation.

Thus,

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

Learn more about equations here:

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f(x) = 4x – 1
g(x) = x2 - 3x + 5

Answers

5914 1404 393

Answer:

  f(1) = g(1) = 3

  f(6) = g(6) = 23

Step-by-step explanation:

Perhaps you want to know the solutions to ...

  f(x) = g(x)

Substituting the function definitions, this is ...

  4x -1 = x^2 -3x +5

  0 = x^2 -7x +6 . . . subtract 4x-1

  0 = (x -6)(x -1) . . . factor the equation

Solutions are x = 1 and x = 6, the values that make the factors zero.

The corresponding function values are ...

  f(1) = 4(1) -1 = 3

  f(6) = 4(6) -1 = 23

Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).

PLEAAAAASEEE HEEEELPPPPP!!!! ILL GIVE BRAINLIEST!!!!

Answers

Answer:

See below

Step-by-step explanation:

[tex] \huge {4}^{3}. (3 \sqrt{16} )^{ - 2} \\ \\ = \huge 64. (3 .4 )^{ - 2}\\ \\ = \huge 64. (12)^{ - 2} \\ \\ = \huge \frac{64}{(12)^{ 2}} \\ \\ = \huge \frac{64}{144} \\ \\\huge = \frac{4}{9} \\ \\ \\ \huge( {a}^{5} . {a}^{ - 2} )^{3} \\ \\ = \huge( {a}^{5 - 2} )^{3} \\ \\ = \huge( {a}^{3} )^{3} \\ \\ = \huge{a}^{3 \times 3} \\ \\ = \huge{a}^{9} [/tex]

what is the opposite of 6.34

Answers

Answer:

-6.34

Step-by-step explanation:

the answer is -6.34

The opposite is -6.34 because negatives are the opposite of positive numbers

(3x^8)(5x) simplify using Law of exponent

Answers

It would be 15x^5 if u need the steps comment

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error?

Answers

Answer:

Step-by-step explanation:

Find the complete question

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.

Which is Zelie’s error?

Zelie should have divided both numbers by 14.

Zelie should have written the ratio as 28/7.

Zelie should have written the ratio as 14/8.

Zelie should have subtracted 14 from both numbers.

Original length of pool = 28ft

If he found that it need to be 14ft longer then the actual measure = 14th

given equation is;

(28 - 7)/14 - 7 = 14/7

Scale constant  = original length/actual length

Scale constant = 28/14

Scale constant = 2

Hence the scale constant is 2

According to the option, Zelei should have divided both numbers by 14.

Answer:

Zelei should have divided both numbers by 14

Step-by-step explanation:



Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)

Answers

Answer: − 10 x + 7.5

Step-by-step explanation:

Answer:

− 10 x + 7.5

Step-by-step explanation:

Hope this helped!

Consider the two different types of elections. Which statement is true?
А
The candidates in the general election earn Electoral College votes.
B.
There is only one primary election but multiple general elections.
с
The general election decides who will run as a presidential candidate.
D
The primary election decides who will be the next president.

Answers

Answer:

D

The primary election decides who will be the next president.

Step-by-step explanation:

Answer:

the candidates in the general election earn electoral college vote

Please help I will give you brainliest. Look at the picture

Answers

Answer:

1. 24 2. 64 3. 9 4. 11 5. 7 2/5

Step-by-step explanation:

2÷5 × -4 what Is the answer please? ​

Answers

Answer:

-1 3/5

Step-by-step explanation:

2÷5 × -4

Work from left to right

2/5 * -4

-8/5

-1 3/5

what is 7/8 times 3 1/4

Answers

Answer:

hi friend , your answer would be 7/8 x 3  1/4 = 91 /32 in fraction form.

Step-by-step explanation:

so friend here is my explanation :

now you can see you are multiplying with a mixed fraction .

so :

convert the mixed fraction into improperto convert into improper fraction , you have to :denominator x whole no . part + numerator 4 x 3 + 1  =  13 / 4 now you multiply 7/ 8 x 13/491 / 32 now convert this to mixed fraction because it is in improper form that will be 2  27 / 32

hope this helps , pls mark as brainliest .

The value of 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91 /32.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression is 7/8 times 3  [tex]\frac{1}{4}[/tex].

Here we are multiplying fraction to mixed fraction.

We will convert mixed fraction to improper fraction.

To convert into improper fraction,

we will use the formula;

fractional number = denominator x whole no . part + numerator

numerator part of fractional number = 4 ×3 +1 = 13

Now we have 13/4

Multiply 7/ 8 x 13/4 = 91 / 32

Therefore , the 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91/32.

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What is 3,050 divided by 75 with a remainder?

Answers


3050 dived by 75 is 40.6 Decimal Form

The quotient from the given division is 46 and the remainder is 50.

Given that, 3500 divided by 75.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 3500/75

75|3500|46

     300

    _____

       500

       450

   ______

        50

Thus, quotient = 46 and remainder=50

Therefore, the quotient from the given division is 46 and the remainder is 50.

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Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa

Answers

tfff am I supposed to do about this

Divide. 495 ÷ 10,000 = _____ 4.950 0.0495 0.4950 0.00495

Answers

Answer:

0.0495

Step-by-step explanation:

used a calculator

0.0495.

[tex]495 / 10000 = 0.0495.[/tex]

B)

Plzs help I give u BRAINLIST

Answers

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

y = |x|-2 how do I graph this

Answers

Answer:

Look below

Step-by-step explanation:

The normal absolute value graph is a v shape in the origin, so just go to (0, -2) because of the -2

Hope this helps!!!!

Graph:

(-7) • (-5) what does it equal to

Answers

Answer:

35

Step-by-step explanation:

Negative × negative = Positive-7 × -5 = 35

I hope this helps!

Answer:

35

Step-by-step explanation:

Simplify

(-7) X (-5)

Negatives cancel out so its going to be positive

That's how you get 35.

Please help me with this question!!

Answers

Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]

Jessie was dividing these two fractions:

[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]

And got the incorrect result

[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]

The correct result is 2 pounds per quart

17z = 16z − 15 whats z ?

Answers

Answer:

z = -15

Step-by-step explanation:

17z = 16z − 15

Subtract 16z from each side

17z-16z = 16z-16z − 15

z = -15

50 POINTS ASAP PLZ HELP NOW IM IN TEST
One factor of the polynomial 6x^3-x^2+8x+5 is (2x+1) What is the other factor of the polynomial? (Note: use long division)

Answers

3x^2 - 2x + 5

Good luck! (:

Find the value of x.

Answers

Answer:

x = 65

Step-by-step explanation:

2x - 14 + 64 = 180

2x + 50 = 180

2x = 130

x = 65

Answer:

x=65

Step-by-step explanation:

64+2x-14 = 180

(4x5)3

Using the exponential notion and simplify pls

Answers

Evaluate or simplify?
It would be 8000 I think. I’m sorry if it’s wrong!

The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?

Answers

Answer:

In cm 360

In meters 3.6

Step-by-step explanation:

had the same question but had to answer in both and got em right

Please need help fast. Look at the picture.

Please explain.

Answers

The answer is 17

This is because 1 + 2 must equal 180 as they are in a straight line.
So 4x + 2 + 110 = 180
Take away 110 from both sides
4x + 2 = 70
Take away 2 from both sides to get 4x = 68. Finally, divide both sides by 4 to get x = 17

The triangles shown below must be congruent . True or false ? ​

Answers

Answer:

False

Step-by-step explanation:

The angles are the same, but we know nothing about the sides

For triangles to be congruent, the sides have to be the same length

Since we don't have information about the sides, we do not know if they are congruent.

Answer:

false

Step-by-step explanation:

brainliest plz


Put these numbers in order from greatest to least.
7.8
6.3
6.61
6.4

Answers

7.8, 6.61, 6.4, 6.3 is the answer
7.8,6.61,6.4,6.3
This is the answer hope you get it :)

A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for each additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 mins and 210 minutes of talk time on two different occasions respectively. find the amount he has to pay if he uses 140 mins of talk time.

Answers

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  Ethan paid $26.80  for 175 mins

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

$32.40 for 210 minutes

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = [tex]\frac{5.6}{35}[/tex]  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = [tex]\frac{18}{120}[/tex]  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2

Find the value of x.

X

(x-58)

Answers

Answer:

119 degree

Step-by-step explanation:

The both x and x-58 are coincident to each other so they have sum of 180 degree.

So,

x + x-58 = 180

2x= 180+58

x= (180+58)/2

x= 119

Answer:

As you should know, the sum of angles of any triangle is 180º, as a quadrilater is two times a triangle, the sum of its angles is 360º

So we know the sum of its angles is 180º and we know there are two angles of 90º, one indicated with a square.

The other two angles measuer x and x - 58, and, if we know that they sum 360, we can do an equation.

90 + 90 + x + (x - 58) = 360

122 + 2x = 360

2x = 360 - 122

2x = 238

x = [tex]238/2[/tex]

x = [tex]119[/tex]

Sowe know one angle measueres 119º and the other 61º

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