heather has red and green pens in her stationery cupboard. the ratio of green pens to the total number of pens is 4:11
what fraction of heathers pens are green
what is the ratio of green pens to red pens
heather has 56 red pens. how many green pens does she have

Answers

Answer 1

Step-by-step explanation:

Pen colors given  = Red and green

 Ratio;

         Green pen : Total pen

                4         :     11

Solution:

1. what fraction of heathers pens are green;

   Fraction = [tex]\frac{green pen}{total pen}[/tex]  = [tex]\frac{4}{11}[/tex]

2. Ratio of green pens to red pens:

     let the multiples = x

        Green pen   Red pen       Total pen

            4x                  ?                    11x

    Red pen  = 11x - 4x = 7x

Ratio of green pen to red pen:

            4 : 7

3. heather has 56 red pens. how many green pens does she have

   Number of red pen  = 56;

   Number of green pens = ?

     Since the ratio is;

          4 : 7

 Number of green pen = [tex]\frac{56 x 4}{7}[/tex]   = 32


Related Questions

someone help me on 2 and 3 plssssss

Answers

Answer:

<MSDBEF

Step-by-step explanation:

vqswdhbjfknhbdncdsujhc,f,jfd.sjbdvkjzsfnvb;krjbsv

help please !!!!!!!!!!!!!

Answers

Answer:

f(4)= -10

If g(x) =2, then x=0

Step-by-step explanation:

what is the place value of the 6 in 976.14

Answers

Answer:

represents the one value

Step-by-step explanation:

Ones place

what divide by -1/2 equals -7/3

Answers

It would be 3/14 hope that helps :)

What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5

Answers

Answer:

x:5

Step-by-step explanation:

The value of 'x' in the solution set is 5 Option D

How to determine the value of x

From the equation

8x -6 > 12 + 2x

Collect like terms

8x - 2x >  12 + 6

6 x > 18

Make 'x' subject of formula

x > 18/6

x >  3

If x is greater than 3, then x is 5

Therefore, the value of 'x' in the solution set is 5. Option D

Learn more about inequalities here:

https://brainly.com/question/24372553

#SPJ9

A high definition radio station charges $200 per year in addition to $50 per month for
the first 3 months to receive its broadcast.

Answers

Answer:

4

Step-by-step explanation:

A scanner can scan 20 pages and 120 seconds. How many pages can scan in 4 minutes?

Answers

Answer:

40 pages

Step-by-step explanation:

120 or 2 min x 2 = 4

20 x 2 = 40

Sorry I couldn't explain more, but I hope this helps!

Answer:

40 pages

Step-by-step explanation:

convert 4 mins -> 240 secs

then cross multiply 20/120 and x/240 (x represents the pages scanned)

u then get 120x=4800

simplify(divide)-> x=40

What decimal is equivalent to StartFraction 8 over 100 EndFraction

Answers

Answer:

8/100 is equivalent to 0.08

It is 0.08 I agree with the person answer above just show evidence

Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?

Answers

Answer:

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Step-by-step explanation:

From the question we are told that

   The sample size is n =  16  

   The population proportion =  0.5

   

     The number that of students that picked out the teachers dog is k  =  14

Generally the sample proportion is mathematically represented as

       [tex]\^ p  =\frac{k}{n}[/tex]

=>     [tex]\^ p  =\frac{14}{16}[/tex]

=>     [tex]\^ p  = 0.875 [/tex]

The null hypothesis is  [tex]H_o :  p = 0.5[/tex]

The null hypothesis is  [tex]H_o :  p >  0.5[/tex]

Generally the test statistics is mathematically represented as

   [tex]z  =  \frac{\^  p  -  p }{\sqrt{ \frac{p(1- p )}{n} }  }[/tex]

    [tex]z  =  \frac{0.875   -  0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} }  }[/tex]

    [tex]z  = 3[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  P(Z > 3)[/tex]

From the z table the probability of  Z>3  is mathematically represented as

      [tex]P(Z > 3) =  0.0013499[/tex]

So

   [tex]p-value  =  0.0013499 [/tex]

Let  assume the level of significance is  [tex]\alpha = 0. 05[/tex]

Generally from the value  obtained we see that [tex]p-value  <  \alpha[/tex] Hence  

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

What are reasons A, B, and C in the proof?

Prove: (4 · 3)l + (2 · 4)l = 20l

Statements Reasons
(4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________
= 4(3l + 2l) B. _________________
= 4(5l) Addition
= (4 · 5)l C. _________________
= 20l Multiplication

Answers

Answer:

A. Commutative property

B. Associative and distributive properties.

C. Associative property.

Step-by-step explanation:

We proceed to present which reason are utilized by supporting procedure:

1) [tex](4\cdot 3) \cdot i +(2\cdot 4)\cdot i[/tex] Given

2) [tex](4\cdot 3)\cdot i +(4\cdot 2)\cdot i[/tex] A. Commutative property

3) [tex]4\cdot (3\cdot i+2\cdot i)[/tex] B. Associative and distributive properties.

4) [tex]4\cdot (5\cdot i)[/tex] Addition.

5) [tex](4\cdot 5)\cdot i[/tex] C. Associative property.

6) [tex]20\cdot i[/tex] Multiplication/Result.

If necessary, combine like terms. (5x+1)(5x-1)

Answers

Answer:2 5x^2-1

Step-by-step explanation:

Oxygen makes up about 20% of the volume of air. Which of these expresses the amount of air made up of oxygen?
PLZ I GIVE BRAILIEST

Answers

Answer:

Step-by-step explanation:

in decimal it is 20.00, in fraction it is 1/5.

HELP ME !I don’t know exactly how to do this

Answers

Answer:

x + 5

Step-by-step explanation:

Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5

I am so sorry if I am wrong!!

i cant find the answer to 2 1/4 times 1/6?.. can someone help a kid out

Answers

Answer:

0.375 or 3/8

Step-by-step explanation:

calculator :)

5|7+4x|-7=48
Please help

Answers

Answer: 1.2

Step-by-step explanation:

first multiply 5 by 7 to get 35, and 5 by 4x to get 20x. Then add negative 7 to 35 and we have 28 subtract 28 from both sides getting 20x=20, so x is 1

9(9r + 3s - 9)
Evaluate this

Answers

Answer: 81r +27s-81

Explanation:
9×9 = 81 r
9×3 = 27 s
9x-9 = -81

frst to answer this gets brainliest!!!!

1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64

Answers

Answer:

1. 14.91

2. 173.48

3.100.86

Step-by-step explanation:

all the answers are rounded to the nearest hundredth place, i believe.

Look at this particle model, what state of matter does it represent? *

Answers

Answer:

Solid

Step-by-step explanation:

All of the particles are closely pressed to gather and they are not freely moving around, instead, they are just vibrating. This is what happens in solids, the particles are so close together that objects cannot move through them.

The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is

Answers

Answer:

[tex]D(x,y) = (-1.5,3.5)[/tex]

Step-by-step explanation:

Given

[tex]E = (-3,2)[/tex]

[tex]F = (3,8)[/tex]

[tex]ED: DF = 1 : 3[/tex]

Required

Determine the coordinates of D

This is calculated as thus:

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-3,2)[/tex]

[tex](x_2,y_2) = (3,8)[/tex]

[tex]m:n = 1:3[/tex]

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]

[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]

[tex]D(x,y) = (-1.5,3.5)[/tex]

A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi

Answers

Answer:

1639.91

Step-by-step explanation:

to work out surface area of a cylinder u do

A=2πrh+2πr2

hope this helps :)

Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).

Answers

Answer:

[tex]\huge\boxed{y=-x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1;\ y_1)[/tex] - point on a line

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

We have

[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]

substitute

[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]

600 students are studying in a private
school, the average monthly fee of a
student is Rs. 1200. How much amount for
tax does the school pay to the government
as education service tax at the rate of 1% in
a year? *​

Answers

Answer:

600 ×1200=720,000

720,000×12=8,640,000

8,640,000×1%=8,640,000÷100%=86,400

86,400 per year

What is the probability of scoring a total of 6

Answers

what are the choices
can you explain some more please

How do you do this question?

Answers

Answer:

B

Step-by-step explanation:

This is a ratio of polynomials.  As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.

Using Limit Comparison Test:

an = (2 + 4n) / (1 + n²)⁴

bn = 4 / n⁷

lim(n→∞) an / bn = 1

The limit is greater than 0, and bn converges, so an also converges.

How many hundredths are in one tenth how many thousandths are in one hundredth

Answers

Answer:

10 hundredths

Step-by-step explanation:

One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.

What is the interquartile range (IQR) of the salaries?
25
35
70
100

Answers

Answer:

First you order the data from least to greatest

then find the mean

next you Calculate the median of both the lower and upper half of the data

The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

Find the distance from G(-3, -1) to the line whose equation is y = 4

Answers

The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5

How to find the Distance of a Line?

We are given the coordinate of point G as G(-3, -1).

We want to find the distance between that coordinate and the line y = 4.

Comparing the line with the equation Ax + By + C = 0 gives;

B = 1 and C = -4

Now, Equation for distance between line and coordinate axes points is;

d = |Ax + By + C|/√(A² + B²)

Thus;

d = |0(-3) + 1(-1) - 4|/√(0² + 1²)

d = |-5|

Since absolute value, then d = 5.

Read more about Distance of a Line at; https://brainly.com/question/7243416

#SPJ1

A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
pharmaceuticals. What are his annual total earnings?

Answers

100% = $420,000

3.5% = 3.5/100 × 420,000

= $ 14,700

Commission he earned = $14,700

Annual total earnings= $50,000 + $14,700

= $ 64,700

Answer:

14,500

Step-by-step explanation:

Find the slope of the line y=4x+2

Answers

Answer:

M=4

Step-by-step explanation:

I hope this helps!

Marking Braniest!!! What is 100÷4÷4÷4

Answers

Answer:

1.5625

Step-by-step explanation:

100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625

Answer:

1.5625

This is what I think is the answer

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