A box contains 6 blue pens and 10 red pens. What is the ratio of red pens to total pens as a fraction​

Answers

Answer 1

Answer: 5/8

Step-by-step explanation: The ratio is 10:16 because total of 16 pens and 10 being red.

Answer 2

The ratio of red pens to total pens as a fraction is 5/8.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

The ratio of red pens to total pens can be expressed as a fraction. To find this fraction, we need to divide the number of red pens by the total number of pens.

The total number of pens in the box is 6 blue pens + 10 red pens = 16 pens

So, the fraction representing the ratio of red pens to total pens is:

10/16

It can be simplified by dividing both the numerator and denominator by 2, to get

5/8

So the ratio of red pens to total pens as a fraction is 5/8. This means that out of every 8 pens, 5 are red.

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Related Questions

On the planet Umpt, there are 14 boondins to every 6 totts. If farmer
Coraz has 80 boondins on his elentire farm, how many totts are on the
farm?
No decimals. Use a mixed number if needed.

Answers

Answer:

6720

Step-by-step explanation:

What is the solution to this equation?


2x + 3 = x − 4

Answers

Answer:

x = −7

Step-by-step explanation:

2x + 3 = x − 4

Subtract 3 from both sides of the equation

2x = x −7

Subtract x from both sides of the equation

x = −7

Answer:

X=7

Step-by-step explanation:

Step 1  

Having all the  

x

terms on one side of =

Subtract  

2 x

from both sides

2 x − 2 x + 3 = 3 x − 2 x − 4

0 + 3 = x − 4

Swap round

x − 4 = 3

Step 2  

Have just  

x

on the left of =

Add  

4

to both sides

x − 4 + 4 = 3 + 4

x = 7

What is the surface area of a cylinder when the radius is 10?

Answers

You need the height of the cylinder in order to calculate the surface area.
Surface area of a cylinder: 2πr^2+2πrh
h- height
r- radius - 10
π- pi- 3.14
So just substitute: 2π(10)^2+2π(10)h

Yeah, I'm stupid.
Someone explain cause I'm not understanding

Answers

We can tell that the whole L shaped angle is 90 degrees because it has the little box in the corner. Now, the 90 degree angle is split into two parts with that line coming from the box. Those two parts of the whole 90 degree angle add up to 90 degrees.

90 = 4v + 2 + 9v - 3

Now, let's solve for v. Combine like terms.

90 = 13v - 1

Add 1 to both sides.

91 = 13v

Divide both sides by 13

7 = v

Can someone help me with this? Please-

Answers

Answer:

C

Step-by-step explanation:

Can someone help me please ?

Answers

Answer:

C I am pretty sure.

Step-by-step explanation:

For C, we can alter the equation to be 5 - 9 > 2x or -2 > x which satisfies the graph above. Similarly, we can alter the second equation to be 3x ≥ -3 or x ≥ -1 which again is true from the graph above.

There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT?

Answers

Answer:

10:15

Step-by-step explanation:

Solve

13x - 15 = 12x + 16

Answers

Answer:

x = 31

Step-by-step explanation:

I will make the explanation easy for you to understand.

Step 1: Subtract 12x from both sides.

13x − 15 − 12x = 12x + 16 − 12x

x − 15 = 16

Step 2: Add 15 to both sides.

x − 15 + 15 = 16 + 15

x = 31

Hope it helps!!!

. If the difference between a number and its reciprocal is 24/5, find the number.​

Answers

Answer:

The answer is 5/25 you just switch it

Answer:

number is 5

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , thus

n - [tex]\frac{1}{n}[/tex] = [tex]\frac{24}{5}[/tex]

Multiply through by 5n to clear the fractions

5n² - 5 = 24n ( subtract 24n from both sides )

5n² - 24n - 5 = 0 ← in standard form

(n - 5)(5n + 1) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 5 = 0 ⇒ n = 5

5n + 1 = 0 ⇒ 5n = - 1 ⇒ n = - [tex]\frac{1}{5}[/tex]

However, n > 1 , thus n = 5

That is the number is 5

In trapezoid EFGH, EF¯¯¯¯¯ and HG¯¯¯¯¯¯ are the bases. Point J is the midpoint of EH¯¯¯¯¯¯ and point K is the midpoint of FG¯¯¯¯¯ . EF=3x+2 , HG=7x−2 , and JK=15 .

What is the value of x?

Answers

Answer:

6

Step-by-step explanation:

The required value of x is 3 for the given trapezoid.

What is a trapezoid?

A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.

Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:

The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.

We can use this theorem to write the equation:

JK = (EF+HG)/2

Now we are given that:

EF=3x+2 , HG=7x−2 , and JK=15

So we can substitute these values in the equation:

15 = (3x+2+7x-2)/2

15 = (10x)/2

15 = 5x

x = 3

Thus, the required value of x is 3.

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Solve each equation and show all your work.

6x - 5 = 2x + 7

3z - 2 = 5z + 19

5x - 15 + 2x = 4x + 12

35x + 2 = 7

Answers

Answer:

x = 3

z = (-21)/2

x = 9

x = 1/7

Step-by-step explanation:

Solve for x:

6 x - 5 = 2 x + 7

Subtract 2 x from both sides:

(6 x - 2 x) - 5 = (2 x - 2 x) + 7

6 x - 2 x = 4 x:

4 x - 5 = (2 x - 2 x) + 7

2 x - 2 x = 0:

4 x - 5 = 7

Add 5 to both sides:

4 x + (5 - 5) = 5 + 7

5 - 5 = 0:

4 x = 7 + 5

7 + 5 = 12:

4 x = 12

Divide both sides of 4 x = 12 by 4:

(4 x)/4 = 12/4

4/4 = 1:

x = 12/4

The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:

Answer: x = 3

____________________________________

Solve for z:

3 z - 2 = 5 z + 19

Subtract 5 z from both sides:

(3 z - 5 z) - 2 = (5 z - 5 z) + 19

3 z - 5 z = -2 z:

-2 z - 2 = (5 z - 5 z) + 19

5 z - 5 z = 0:

-2 z - 2 = 19

Add 2 to both sides:

(2 - 2) - 2 z = 2 + 19

2 - 2 = 0:

-2 z = 19 + 2

19 + 2 = 21:

-2 z = 21

Divide both sides of -2 z = 21 by -2:

(-2 z)/(-2) = 21/(-2)

(-2)/(-2) = 1:

z = 21/(-2)

Multiply numerator and denominator of 21/(-2) by -1:

Answer: z = (-21)/2

________________________________________

Solve for x:

5 x + 2 x - 15 = 4 x + 12

Grouping like terms, 5 x + 2 x - 15 = (5 x + 2 x) - 15:

(5 x + 2 x) - 15 = 4 x + 12

5 x + 2 x = 7 x:

7 x - 15 = 4 x + 12

Subtract 4 x from both sides:

(7 x - 4 x) - 15 = (4 x - 4 x) + 12

7 x - 4 x = 3 x:

3 x - 15 = (4 x - 4 x) + 12

4 x - 4 x = 0:

3 x - 15 = 12

Add 15 to both sides:

3 x + (15 - 15) = 15 + 12

15 - 15 = 0:

3 x = 12 + 15

12 + 15 = 27:

3 x = 27

Divide both sides of 3 x = 27 by 3:

(3 x)/3 = 27/3

3/3 = 1:

x = 27/3

The gcd of 27 and 3 is 3, so 27/3 = (3×9)/(3×1) = 3/3×9 = 9:

Answer: x = 9

__________________________________________

Solve for x:

35 x + 2 = 7

Subtract 2 from both sides:

35 x + (2 - 2) = 7 - 2

2 - 2 = 0:

35 x = 7 - 2

7 - 2 = 5:

35 x = 5

Divide both sides of 35 x = 5 by 35:

(35 x)/35 = 5/35

35/35 = 1:

x = 5/35

The gcd of 5 and 35 is 5, so 5/35 = (5×1)/(5×7) = 5/5×1/7 = 1/7:

Answer: x = 1/7


Ivan rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 89 cents for each mile driven. Ivan had to pay $155.79
when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

156 miles

Step-by-step explanation:

155.79-16.95=138.84

138.84/0.89=156

When finding the slope, it is important to identify _____ coordinates.

A. estimated
B. exact
C. any ​

Answers

Answer:

b the exact coordinates

What is the slope of the graphed line

Answers

Answer:

3/9 or 1/3

Step-by-step explanation:

change in y over change in x is the slope

youre going up 3 and right 9, so 3/9 which simplifies to 1/3

just a lil some some so please help me

Answers

Answer:

The answer to this is agree . Hope it helps.

Rena's grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown. A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent. How much will Rena have in this account after 4 years? Enter the correct answer in the box.

Answers

Answer:

$3,955

Step-by-step explanation:

Given that:

Initial deposit = $3500

Simple rate of interest = $3.25%

Number of years = 4

Simple interest = (principal * rate * time)

Principal = Initial deposit = $3500

Interest = $3500 * 3.25% * 4

Simple Interest = $455

Amount that will be in account after 4 years :

$3500 + $455 =$3955

‼️ WILL GIVE BRAINLIEST AND 50 POINTS ‼️
>ALGEBRA I

If you can answer this super quickly, I will give you what I promised. Please answer all, no explanations needed.

Just questions 1&2, question 1’s options for all of them are:

•commutative property of
•addition property of equality
•2x = 8
•distributive property
•division property of equality
•x = 4
•multiplication property of equality
•subtraction property of equality

Answers

Answer:

All Real Numbers

Step-by-step explanation:

[tex]\text{Some equations, such as } 2x=2x \text{ have \bf all real numbers }\text{ as the solution.}[/tex]

The equation has infinity solutions. So, in this question as[tex]x\in \mathbb{R} \implies Dom(f)=(-\infty, \infty)=\mathbb{R}[/tex]

Just considering the problem as a function.

In rectangle FGHK, FC = CH = 8.5 cm. What is the area of rectangle FGHK?

8.5 cm
15cm^2
120cm^2
125.5cm^2

Answers

Answer:

we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres

120 square centimeters is the area of rectangle FGHK.

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

here, we have,

from the given figure,

we have the width is 8 cm and the diagonal line is 17 cm

so to get the length you're going to use Pythagoras theorem

so 8 centimeters will be represented by a

17cm will be represented by c

then length will be represented by b

so b squared is equals to c squared minus a squared

say 17 squared - 8 squared

17 squared is 289 while 8 squared is 64

the result will be 225

so b squared is equals to 225

to get b we will get the square root

so b is equals to 15

so our length is 15

the area is equals to length x width

so 15 * 8

you get 120 square centimeters.

hence, 120 square centimeters is the area of rectangle FGHK.

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the perimeter of the pentagon below is 63 units. Find the value of x

Answers

Answer:

7

Step-by-step explanation:

2x+10+11+(x+2)+(3x-2)=63

2(7)+10+11+(7+2)+(3(7)-2)=63

x=7

7 is the value of x

What are sides of a pentagon with different sides ?

If the sides of a pentagon are not equal in measure, it is termed as an irregular pentagon. In this case, the perimeter of the pentagon can be calculated by using the basic formula, Perimeter = sum of its sides.

Given,

side 1 = 2x

side 2 = 10

side 3 = x+2

side 4 = 11

side 5 = 3x-2

Sum of all the sides of the pentagon,

2x+10+(x+2)+11+(3x-2)=63

2x+10+x+2+11+3x-2=63

6x+21=63

6x=63-21

6x=42

x=42/6

x=7

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A square has an area of 4 m^2 What is the length of each side?

Answers

Answer:

length of each side is 2 metres

Step-by-step explanation:

square area = b^2

4 square m = b^2

square root of 4 = b

therfore b = 2

I need help with this algebra question can someone explain the steps on how you solve it ?

Answers

Answer:

27

Step-by-step explanation:

(5+√2)²

you distribute the ² in the ()

so 5²+√2²

5²=25

√2²=2 because the √ and ² cancel each other out and you get 2

so now you have

25+2

which equals

27

Given expression:

             (5 + [tex]\sqrt{2}[/tex])²

Now let us solve this problem by simplifying it;

    (5 + [tex]\sqrt{2}[/tex])²:

   the power implies the expression in the bracket should be repeated twice:

        = (5 + [tex]\sqrt{2}[/tex])  (5 + [tex]\sqrt{2}[/tex])

  Then expand the bracket by distribution;

     =  (5 x 5) + 5([tex]\sqrt{2}[/tex]) + 5([tex]\sqrt{2}[/tex]) + 2

     = 25 + 10[tex]\sqrt{2}[/tex] + 2

     =  27 + 10[tex]\sqrt{2}[/tex]

What is the lower quartile? (CAN ANYONE HELP:))

Answers

can u repost this question the picture is just completely black

Explain to Alana why she might not want to blast her boss on social media just yet.

Answers

If she can’t find another job Alana may have to go back to her boss. It is also unprofessional even if she knows she has another job set up.

Write down in terms of n an expression for the nth term of the following sequence 12,10,8,6,4

Answers

Answer:

n-2

Step-by-step explanation:

there is an obvious pattern. Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8. The common difference is -2, so the formula for the nth term is 12-2(n-1).

This can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12.

The 5th term is 14-10=4; the 6th is 14-12=2. And so on. This is the formula The expression for the total number of tiles in the nth term is the sum of the areas of the rectangles, n2 + n(n – 1) + 2, which can be simpli- fied to 2n2 – n + 2. quadratic sequences with visual models these are just examples: The nth odd number is given by the formula 2*n-1.
In linear sequences only, the 'nth-term rule' gives the value of any term in that sequence at position 'n'. It is written as 'xn ± y' where x = the constant difference between term values and y is a particular number. The rule allows you to work out the terms of a sequence. An arithmetic progression is a sequence where each term is a certain number larger than the previous term. The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1.

what is the domain and range of f(x)=35x​

Answers

Answer:

Domain and Range are all real number

Step-by-step explanation:

Answer is above

Find the diameter of the semicircle whose area is 1232 cm2​

Answers

Area of semicircle =

[tex] \frac{ {\pi \: r}^{2}}{2} [/tex]

Area of the given semicircle = 1232 cm^2

[tex] \frac{ {\pi \: r}^{2}}{2} = 1232 \\ = > {\pi \: r}^{2} =( 1232 \times 2) \\ = > \frac{22}{7} {r}^{2} = 2464 \\ = > {r}^{2} = ( \frac{2464 \times 7}{22} ) \\ = > {r}^{2} = 784 \\ = > r = \sqrt{784} \\ = > r = 28cm[/tex]

[tex]d = r \times 2 \\ d = (28 \times 2 )cm\\ d = 56cm[/tex]

Hence, the diameter of the circle is 56cm

I’m u sure on this one

if molly had 6.5 jars of honey how many does she have if she takes away 1.684

Answers

Answer:

bro how u have 6.5 jars and how someone take away 1.684 jars???? this dont make no sense

Step-by-step explanation:

4.816 is the answer but i wouldnt know how that would be possible

Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added

Answers

Complete question :

Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.

1. Standard deviation 11) Median 111) Mean

Answer:

Standard deviation - increased

Median - cannot be determined

Mean - decrease

Step-by-step explanation:

The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.

The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

Michael to 12 tests in his math class.

His lowest test score was 78.

His highest test score was 98.

On the 13th Test, he earns a 64.

Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.

The standard deviation will increase because the gap between the mean and 64 will increase.

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

More about the statistics link is given below.

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These steps were used to construct the perpendicular bisector of segment DE.
Which statement MUST be true?
PHOTO ABOVE






Answers

Answer:

haha imagine math

Step-by-step explanation:

Answer: MD=ME

Step-by-step explanation:

Those are the only ones that are actually equal to eachother. Plus I hate you to the other person who didn’t answer the question but said “lol imagine math”

Find the midpoint of the line segment joining the points R(-3,3) and S(1,6).
The midpoint is

Answers

Answer:

[tex]Midpoint = ( -1 , 4.5)[/tex]

Step-by-step explanation:

[tex]\frac{-3 + 1}{2}[/tex]  [tex],[/tex] [tex]\frac{3+6}{2}[/tex]

[tex]\frac{-2}{ 2}[/tex] [tex],[/tex]  [tex]\frac{9}{2}[/tex]

[tex]Midpoint = (-1, 4.5)[/tex]

Hope this helps

plz mark brainliest

The midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).

What is a midpoint?

A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.

The midpoint is calculated by using the formula:- ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2.

Given points are R(-3,3) and S(1,6). The midpoint of the given points are calculated as below:-

M = (-3+1 ) / 2 , ( 3 + 9 ) / 2

M = ( -1,4.5)

Therefore, the midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).

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