Find the percent of each number.
1. 32% of 60 =

Answer:

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

Solution:

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get  

[tex]\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}[/tex]  ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get  

[tex]l_{1} = 97.5 \text { and } n_{1} = 65[/tex]

Similarly, for a chain with 14 paper clips with length to be found, we get  

[tex]n_{2}=14 \text { and } l_{2} = ?[/tex]

Now by using eqn 1, we can calculate the length of 14 paper clips  is,

[tex]\frac{97.5}{65}=\frac{l_{2}}{14}[/tex]

Rearranging the terms we get,

[tex]l_{2 }= \frac{97.5 \times 14}{65}[/tex]

[tex]l_{2}=21 \text { inches }[/tex]

Hence the length of chain with 14 paper clips is 21 inches.

Jensen can send 4 messages for $1. This is calculated by using the concept of unit rate; first find the unit cost by dividing the total cost by the total number of messages, then divide $1 by the unit cost.

The question is asking how many text messages Jensen can send for $1 if she usually spends $18 for 72 messages. This involves a concept in mathematics called unit rate, which identifies the cost (or quantity) per one unit. First, we figure out how much it costs to send one message by dividing the total cost by the total number of messages, i.e. $18/72. This gives us a unit cost of $0.25 per message. Therefore, to find out how many messages Jensen can send with $1, we divide $1 by the unit cost, giving us 4 messages. So, Jensen can send 4 messages for $1.

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Answer:

18 performers

Step-by-step explanation:

I just multiplied 30 by 0.6 (the decimal form of 60 percent) and got 18

18 kids played a musical instrument

Answer:

-5 = a; (-5, 7)

Explanation:

-y₁ + y₂\-x₁ + x₂ = m

-7 + 5\a + 8

a + 8 = 3

- 8 - 8

_________

a = -5

Obviously, we have to set the denominator equal to three to find the value of a. Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so -⅔ remains the same.

I am joyous to assist you anytime.

Answer:

100 times greater is the first 5 than the second 5 in 853,539.

Step-by-step explanation:

To find : How many times greater is the first 5 than the second 5 in 853,539?

Solution :

According to place value system,

Hundred Th.    Ten Th.   Thousand    Hundred    Tens   Ones

       8                    5                 3                5               3          9

The value of first 5 in the number 853,539 is at ten thousand place

So, The value of first 5 is 50000.

The value of second 5 in the number 853,539 is at hundred place

So, The value of second 5 is 500.

The times greater is the first 5 than the second 5 in 853,539 is

[tex]\frac{50000}{500}=100[/tex]

Therefore, 100 times greater is the first 5 than the second 5 in 853,539.

Final answer:

The first 5 in the number 853,539 is 1,000 times greater than the second 5 because it is in the ten thousands place, while the second 5 is in the tens place.

Explanation:

The question asks how many times greater is the first 5 compared to the second 5 in the number 853,539. To answer this, we compare the place values of each 5. The first 5 is in the ten thousands place while the second 5 is in the tens place.

The ten thousands place is 1,000 times greater than the tens place. Therefore, the first 5 (50,000) is 1,000 times greater than the second 5 (50).

Answer:

5

Step-by-step explanation:

Hold on I am doing it right now

Your answer is 75 hope this helps you

Answer:

The cost of the lessons taken

Step-by-step explanation:

Let

y -----> the total paid for the baseball bat and the lessons

c ----> the number of lessons

we have

y=25c+75

This is a linear equation in slope intercept form

y=mx+b

where

b=$75 -----> the price of he baseball bat (y-intercept)

m=25 $/lesson ----> the slope of the linear equation

therefore

25c represent the cost of the lessons taken

Answer:

120$ altogether

Step-by-step explanation:

There are 8 teachers and they have to pay 15 dollars so do

8×15=120

or

15+15+15+15+15+15+15+15=120

Answer:

49

Step-by-step explanation:

The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros.

Find the zeros by letting f(x) = 0, that is

- (x - 3)(x + 11) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 11 = 0 ⇒ x = - 11, thus

[tex]x_{vertex}[/tex] = [tex]\frac{-11+3}{2}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4

Substitute x = - 4 into f(x) for y- value of the vertex

f(- 4) = - (- 4 - 3)(- 4 + 11) = - (- 7)(7) = 49

Answer:

to combine integers with the same sign at their sign then give their sum the same sign as the addends

Step-by-step explanation:

if you combine it with the same sign u will get a lot of negatives than postives

Answer:

x = -11

Step-by-step explanation:

5x + 2 = 4x - 9

-2            -2

5x = 4x - 11

-4x   -4x

x = -11

Answer:

[tex]Find[/tex]  [tex]the[/tex]  [tex]number[/tex]  [tex]that[/tex]  [tex]multiplies[/tex]  [tex]itself[/tex]  [tex]twice[/tex]

Step-by-step explanation:

When you have a square root number, it should look like this:

[tex]\sqrt{4}[/tex]

[tex]\sqrt{9}[/tex]

Then you're asking how to solve it, simple.

All you have to do is find a number that times itself twice to get that specific number.

Let's look back at the examples I gave you:

[tex]\sqrt{4}[/tex]

This means that you need to find a number that multiples itself twice to get 4.

In this case, it would be two, so:

2 x 2 = 4

[tex]\sqrt{4}[/tex]  =  2

So remember, when you have a square root, you have to find a number that multiples itself twice to get the number in the square root

Answer:

1. 0.4

2. 0.8888888889

3. 3.75

4. 0.7

5. 2.375

6. 0.3 the three is ongoing

Step-by-step explanation:

All you have to do is divide the numerator(top) by the denominator(bottom) and if there is a whole number than put that before the decimal

Answer:MAFS.912.A-CED.1.1

The measures of three sides of a triangle can be represented by 2x, 3x - 5, and 4x + 2.

The perimeter of the triangle is 65 inches.

a) Give an equation to represent this situation.

b) Solve for x.

c) What are the three lengths of the triangle?

Answer: [tex]48a^4[/tex]

Step-by-step explanation:

 In this case we know that the  legs of the given right triangle have these lenghts:

[tex]12a^4[/tex] and [tex]16a^4[/tex]

By definition, the sides of a right triangle are in the ratio [tex]3:4:5[/tex]

Since:

[tex]\frac{5}{4}=1.25[/tex]

We can multiply the lenght  [tex]16a^4[/tex] by 1.25 in order to find the lenght of the hypotenuse of the right triangle:

[tex](16a^4)(1.25)=20a^4[/tex]

Since the perimeter of a triangle is the sum of the lenghts of its sides, we can write the following expression for the perimeter of the given right triangle:

[tex]12a^4+16a^4+20a^4[/tex]

Simplifying, we get:

[tex]=48a^4[/tex]

The expression in the simplest form that represents the perimeter of the right triangle with legs 12a⁴  and 16a⁴ is 48a⁴

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore,

The perimeter of the right triangle is the sum of the whole sides. Therefore, let's find the hyotenuse.

c² = a² + b²

c² = (12a⁴)² + (16a⁴)²

c² = 144a⁸ + 256a⁸

c² = 400a⁸

c = √400a⁸

c = 20a⁴

Therefore, the perimeter is as follows:

perimeter = 12a⁴ + 16a⁴ + 20a⁴

perimeter = 48a⁴

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Final answer:

The value of 3x for a rectangle with a length of x+7, a width of 2x-3, and a perimeter of 32 is 12, which corresponds to option B.

Explanation:

The question asks to find the value of 3x for a rectangle with given dimensions and perimeter. The dimensions of the rectangle are length x + 7 and width 2x - 3, with a perimeter of 32.

The perimeter (P) of a rectangle is calculated using the formula P = 2l + 2w, where l is the length and w is the width.

By substituting the given dimensions into the perimeter formula, we get:
32 = 2(x + 7) + 2(2x - 3). Simplifying this, we get:
32 = 2x + 14 + 4x - 6.
Combining like terms, we get:
32 = 6x + 8. Subtracting 8 from both sides gives us:
24 = 6x. Dividing both sides by 6 gives us the value of x, which is 4.

Finally, to find the value of 3x, we simply multiply 3 by 4, giving us an answer of 12, which corresponds with option B in the provided choices.

Answer:

x > -13

Step-by-step explanation:

-[tex]\frac{1}{4}[/tex] x (12x + 8) < -2x + 11

Factor out 4 from expression

-[tex]\frac{1}{4}[/tex] x 4 (3x + 2) < -2x + 11

reduce numbers wit greatest common divisor 4

- (3x + 2) < =2x + 11

When a - is in front of parenthesis change the sign

-3x -2 < -2x + 11

Move variable to left side and change the sign

-3x + 2x -2 < 11

Move constant to the right and change the sign

-3x + 2x < 11 + 2

Collect like terms

-x < 11 + 2

add

-x < 13

Change the signs on both sides of the inequality and flip the inequality sign

x > -13

Answer:

x > -13

Step-by-step explanation:

-13 with the red dot and go to the right where it passes -5

            ➡️ ➡️➡️

-17 -15 -13 -11 -9 -7 -5

Answer:

c + 9.

Step-by-step explanation:

That is simply c + 9. More means 'plus'.

Answer:

Step-by-step explanation:

x = c + 9

-7x+5y=10

4x-5y=-10

Find x first by eliminating the y.

Add the two equations together.

-7x+4y=-3y

+5y-+5y= 5y-5y=0

10-+10=0

-3x=0

divide both sides by -3

-3x/-3=0/-3

x=0

Find y by using x=0 into -7x+5y=10 ( using substitution  method)

-7(0)+5y=10

0+5y=10

5y=10

divide both sides by 5

5y/5=10/5

y=2

Answer:

(0,2)

The number of students participating in the math competition, where they are divided into teams of 3, must be a multiple of 3. These numbers include 3, 6, 9, etc. Any number divisible by 3 without a remainder is possible.

To determine how many students could be participating in the math competition where teams are composed of 3 students each, we must think about multiples of 3. Since teams must be evenly divided, only a total number of students that is a multiple of 3 would be possible. The concept here is similar to the division of a group assignment among students. For instance, if five students are working on an assignment and they divide it into five equal parts, each student will do one part. In the case of the math competition, we can say that 3, 6, 9, and so on are possible numbers of students participating. Simplistically, any number that can be divided by 3 without leaving a remainder is a valid answer.

Answer:

See below in bold.

Step-by-step explanation:

(1) cosec ( x + 10) = 3

Now cosec x = 1/sin x so

1 / sin (x + 10) = 3

3 sin (x + 10) = 1

sin (x + 10) = 1/3

x + 10 = 19.47 , 160.53 degrees

x = 9.47, 150.53 degrees.

(ii) cot (x - 30) =0.45

cot (x - 30)= 1 /tan (x- 30) so we have

tan (x - 30) = 1 / 0.45 = 2.2222

x - 30 = 65.77 degrees

x = 95.77 degrees.

To solve the given equations, we need to find the values of x between 0° and 180°. For the equation cosec(x+10°) = 3, we solve for sin(x+10°) = 1/3. For the equation cot(x-30°) = 0.45, we solve for tan(x-30°) = 1/0.45.

(i) To solve the equation cosec(x+10°) = 3, we need to find the value of x between 0° and 180°. To do this, we can use the reciprocal identity for cosecant: csc(x) = 1/sin(x). Therefore, csc(x+10°) = 1/sin(x+10°). Solving for sin(x+10°), we have sin(x+10°) = 1/3. From the unit circle, we know that the sine function is positive in the first and second quadrants. So, we need to find the values of x+10° between 0° and 180° where sin(x+10°) = 1/3.

(ii)To solve the equation cot(x-30°) = 0.45, we need to find the value of x between 0° and 180°. The cotangent function is defined as cot(x) = 1/tan(x), so cot(x-30°) = 1/tan(x-30°). Solving for tan(x-30°), we have tan(x-30°) = 1/0.45. From the unit circle, we know that the tangent function is positive in the first and third quadrants. So, we need to find the values of x-30° between 0° and 180° where tan(x-30°) = 1/0.45.

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Answer:

140°

Step-by-step explanation:

The interior angles of a regular nonagon are equal.

Equate the 2 given angles and solve for x

11x - 25 = 9x + 5 ( subtract 9x from both sides )

2x - 25 = 5 ( add 25 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Substitute this value into one of the given angles

9x + 5 = (9 × 15) + 5 = 135 + 5 = 140

Thus the interior angle has a measure = 140°

The interior angle of a nonagon measure is 140°.

The given expressions are 9x+5 and 11x-25.

A regular nonagon is one in which all the 9 sides are of equal length and the 9 interior angles are of equal measure. On the other hand, when the sides of a nonagon are of unequal lengths and the angles are of different measures, it is called an irregular nonagon.

Now, equate the 2 given angles and solve for x.

That is, 11x - 25 = 9x + 5 ( subtract 9x from both sides )

⇒2x - 25 = 5 ( add 25 to both sides )

⇒2x = 30 ( divide both sides by 2 )

⇒x = 15

Substitute x = 15 value into one of the given angles

9x + 5 = (9 × 15) + 5 = 135 + 5 = 140

Therefore, the interior angle of a nonagon measure is 140°.

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Answer:

15x+100(3) ≥ $1500

x ≥ 80 pages

Step-by-step explanation:

Let x represent the number of  pages.

Manuel receives $15 per page = 15x

Plus $100 per month. Manuel would like to work for 3 months = 15x+100(3)

He wants to make at least $1500 during the summer

Thus the inequality we get is:

15x+100(3) ≥ $1500

Now solve the equation to find minimum number of pages:

15x+300 ≥ $1500

Combine the like terms:

15x ≥ 1500-300

15x ≥ $1200

Divide both sides by 15

15x ≥ $1200/15

x ≥  80 pages

Answer:

-1 3/8

Step-by-step explanation:

Answer:-3/4 = -6/8

-6/8 + 5/8= -1/8

Step-by-step explanation:

Answer:

hey user!

your answer is here...

laws ( rules ) of reflection are :-

• angle of incidence is equal to angle of reflection.

• the incident ray, Normal ray and reflected ray all lie in same plane.

cheers!!

Step-by-step explanation:

[tex]\bf \cfrac{36}{80}\implies \cfrac{~~\begin{matrix} 2\cdot 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 3\cdot 3}{2\cdot 2\cdot ~~\begin{matrix} 2\cdot 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 5}\implies \cfrac{9}{20}[/tex]

Answer:

9/20

Step-by-step explanation:

find a common factor and divide both the numerator and the denominator by that factor until there's no way to keep simplifying anymore. or use a calculator. but don't do that. you won't learn that way. im a bad teacher sorry.

Answer:

width = 7 cm

Step-by-step explanation:

length = 35 cm

Perimeter = 84 cm

2 * ( l + b) = 84

2 * ( 35 +b ) = 84

       35 +b  = 84 / 2

        35 + b = 42

                 b = 42 -35

                   b = 7

width = 7 cm

Answer:

The value of x in log x + log 3 = log 18 is 6.

Solution:

From question, given that log x + log 3 = log 18 ---- eqn 1

Let us first simplify left hand side in above equation,

We know that log m + log n = log (mn) ----- eqn 2

Adding log m and log n results in the logarithm of the product of m and n (log mn)  

By using eqn 2, log x + log 3 becomes log 3x.  

log x + log 3 = log 3x ---- eqn 3

By substituting eqn 3 in eqn 1, we get

log 3x = log 18  

Since we have log on both sides, we can cancel log and the above equation becomes,

3x = 18

[tex]x = \frac{18}{3} = 6[/tex]

Thus the value of x in log x + log3 = log18 is 6

Answer:

the answer is 6

I even toke the test as well.

it is not 6.00001

Step-by-step explanation:

Answer:

Step-by-step explanation: 18x2+4=30

Answer:

amy is 11.

Step-by-step explanation:

in the problem it explains that brandy is 4 years younger than twice amys age. if we say that amy is 11 then we can verify the answer because 11*2 is 22-4 is 18.

hope this helps- cam:)

Answer:

Step-by-step explanation:

6< 3x + 9

-3x < 9-6

-3x < 3 .( -1 )                                            

3x > 3                          

x > 3/3

x > 3

3x + 9 ≤ 18

3x ≤ 18-9

3x ≤ 9

x ≤ 9/3

x ≤  3

S = {XeIR/ 3 > x  ≤ 3 }

Not sure if the solution looks like this

Answer:

Step-by-step explanation: