Mr Cole has 30 students in his class. He has twice as many girls than boys. What is the ratio of girla to boys?

Answer:

[tex]A = \frac{2}{3}[/tex]

[tex]B = \frac{4}{3}[/tex]

Step-by-step explanation:

Given

[tex]X(s) = \frac{2s + 4}{s(s +6)}= \frac{A}{s} + \frac{B}{s + 6}[/tex]

Required

Find A and B

The expression can be rewritten as

[tex]\frac{2s + 4}{s(s +6)}= \frac{A}{s} + \frac{B}{s + 6}[/tex]

Take LCM of the right hand side

[tex]\frac{2s + 4}{s(s +6)}= \frac{A(s + 6 )+ Bs}{s(s +6)}[/tex]

Cancel out the denominators

[tex]2s + 4 = A(s + 6) + Bs[/tex]

Open Bracket

[tex]2s + 4 = As + 6A+Bs[/tex]

Reorder

[tex]2s + 4 = As +Bs+ 6A[/tex]

By direct comparison:

[tex]2s = As + Bs[/tex]

[tex]4 = 6A[/tex]

Solving [tex]2s = As + Bs[/tex]

Divide through by s

[tex]2 = A + B[/tex]

Solve for A in [tex]4 = 6A[/tex]

[tex]\frac{4}{6} = A[/tex]

[tex]A = \frac{4}{6}[/tex]

[tex]A = \frac{2}{3}[/tex]

Substitute [tex]\frac{2}{3}[/tex] for A in [tex]2 = A + B[/tex]

[tex]2 = \frac{2}{3} + B[/tex]

[tex]B = 2 - \frac{2}{3}[/tex]

LCM

[tex]B = \frac{6 - 2}{3}[/tex]

[tex]B = \frac{4}{3}[/tex]

Answer:

C

Step-by-step explanation:

Just re-draw the triangle reflecting the y-axis

so, here’s the work. Try to change it a bit so it doesn’t look like you copied lol

Answer:

-1/3

Step-by-step explanation:

Y2-Y1 plug in 5-4. 1

---------- ------- = --

X2-X1 plug in 0-3 -3

Answer:

[tex]-4[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]h(x)=4x+5\text{ and } g(x)=3x+5[/tex]

And we want to find:

[tex](h+g)(-2)[/tex]

This is the same as:

[tex]h(-2)+g(-2)[/tex]

Let's substitute them for their functions:

[tex]=(4(-2)+5)+(3(-2)+5)[/tex]

Multiply:

[tex]=(-8+5)+(-6+5)[/tex]

Add:

[tex]=-3-1[/tex]

Subtract:

[tex]=-4[/tex]

And we're done!

10 hundreds or 1 thousand.  

Further explanation

This question is related to place values.

10 times as many as a number is 10 multiplies the number.

Hence, 10 times as many as 1 hundred is

\boxed{ \ 10 \times 1 \ hundred \rightarrow \boxed{ \ 10 \ hundreds \ } \ }

Furthermore, 10 hundreds have the same meaning as 1 multiplies 10 hundreds which can produce 1 thousand.

\boxed{ \ 1 \times 10 \ hundred \rightarrow \boxed{ \ 1 \ thousand \ } \ }

Quick steps

Part-1

\boxed{ \ 10 \times 1 \ hundred = X \ hundred \ }

\boxed{ \ 10 \ hundred = X \ hundred \ }

Thus, \boxed{\boxed{ \ X = 10 \ }}  

Part-2

\boxed{ \ 10 \times 1 \ hundred = Y \ thousand \ }

\boxed{ \ 10 \times 100 = Y \ thousand \ }

\boxed{ \ 1,000 = Y \ thousand \ }

\boxed{ \ 1 \ thousand = Y \ thousand \ }

Thus, \boxed{\boxed{ \ Y = 1 \ }}  

- - - - - - -  

Conclusions

10 times as many as 1 hundred is _10_ hundreds or _1_ thousand.  

Learn more  

9 ten thousands divided by 10 (in unit form) brainly.com/question/4786449

How do you write 770,070 in expanded form? brainly.com/question/4725342  

100 is ¹/₁₀ of what? brainly.com/question/96535  

Keywords: 10 times as many as 1 hundreds, hundreds, thousands, place value, operations, multiply, equal, blank, quick steps

Answer:

1/16

Step-by-step explanation:

This question involves two distinct genes; one coding for seed shape and the other for cotyledon color. The alleles for round seeds (R) and yellow cotyledons (Y) are dominant over the alleles for wrinkled seed (r) and green cotyledon (y) respectively.

In a cross between a truebreeding (i.e. same alleles for both genes) pea having round seeds and yellow cotyledon (RRYY) and a truebreeding pea having wrinkled seeds and green cotyledon (rryy), the F1 offsprings will all possess a heterozygous round seed and yellow cotyledon (RrYy).

The F1 offsprings (RrYy) will produce the following gametes: RY, Ry, rY, and ry. Using these gametes in a punnet square (see attached image), 16 possible offsprings will be produced in a ratio 9:3:3:1.

According to the question, 3/16 of the F2 offsprings will possess round seeds and green cotyledons, however, only 1 of them will be truebreeding i.e. RRyy. Hence, 1/16 of the F2 offsprings will be truebreeding for round seeds and green cotyledons.

Answer:

[tex]w = \frac{1}{2}(P - 24)[/tex]

[tex]w = 153\ yards[/tex]

Step-by-step explanation:

Given

[tex]P = 24 + 2w[/tex]

Require

Solving (a):

[tex]P = 24 + 2w[/tex]

Subtract 24 from both sides

[tex]P-24 = 24-24 + 2w[/tex]

[tex]P-24 = 2w[/tex]

Divide both sides by 2

[tex]\frac{1}{2}(P - 24) = \frac{2w}{2}[/tex]

[tex]\frac{1}{2}(P - 24) = w[/tex]

[tex]w = \frac{1}{2}(P - 24)[/tex]

Solving (b):

Substitute 330 for P un the expression in (1)

[tex]w = \frac{1}{2}(330 - 24)[/tex]

Evaluate the bracket

[tex]w = \frac{1}{2}(306)[/tex]

[tex]w = 153\ yards[/tex]

Question c; seem irrelevant

Answer:19x

Step-by-step explanation:

Take x as the value of pennies

If there are twice as many quarters as pennies then the explanation should be

Pennies =x

Quarters =2x

If there are 4 times as many nickels as pennies then the explanation is

Pennies =x

Nickels =4x

If there are 5 times as many dimes as nickels then the explanation is

Nickels =4x

Dimes=20x

So the values of them all is

Pennies =x

Nickels =4x

Dimes =20x

Quarters =2x

So to get how many more dimes does the child have than quarters you subtract

20x-2x=19x

The Number of dimes the child has more than quarters is; 10 times more.

Let number of pennies be P

Since he has twice as many quarters as pennies, then;

Number of quarters; Q = 2P

Four times as many nickels as pennies. Then;

Number of nickels; N = 4P

five times as many dimes as nickels. Then;

Number of dimes; D = 5N = 5(4P) = 20P

Since number of quarters = 2P

And number of dimes = 20P

Then;

Number of dimes the child has more than quarters is; 20P/2P = 10

Thus, the child has ten times as many dimes as quarters

Read more on proportion at; https://brainly.com/question/25640375

Answer: D. 12

Step-by-step explanation:

The first step here is to find all the possible selections and the number of options for each selection:

bread: 2 options (white or wheat)

meat: 3 options (beef, ham or turkey)

cheese: 2 options (swiss or cheddar)

The total number of combinations (of different possible sandwiches that Ray can order) is equal to the product between the numbers of options for each selection, so we have:

Combinations = 2*3*2 = 12

So the correct option is D.

Answer:

D. 12

Step-by-step explanation:

Answer:

–18 feet

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Answer:

x = orgininal angle

3x +20 = supplementary angle

1. x + (3x+20) = 180

2. 4x + 20 = 180

3. 4x = 160

4. x = 40

The orginial angle is 40

The supplementary angle is 140

Step-by-step explanation:

1. define your varibles using the words given

2. add them together to equal 180, because they are supplmentary.

3. combine like terms.

4. subtract 20

5. divide by 4

6. you find x, now plug it back into your variables at the top:

x = 40

3(40) + 20 = 140

Answer:

5.14 is irrational

Step-by-step explanation:

This is irrational because it is a decimal and/or a fraction, and a rational number is a whole number such as 1, 7, 32.

Answer:

The Probability that the GHI is less than $70 in three days is 1% or 0.01

Step-by-step explanation:

Here, we want to find the probability that the GHI is less than $70.

So what we do here is to find the scenarios that could make the $60 less than $70 is three days;

Scenario 1;

Two days decrease and one day increase

That will bring the value to 60 -1-1 + 10 = $68 which is less than 70

Scenario 2;

Three days decrease

That will bring the value to

60-1-1-1 = 57 which is less than 70

Any other possible scenario to make the value of the share less than 70? NO !

For the 1st case scenario;

Two days decrease and one day increase;

The scheduled probabilities will be as follows;

Kindly recall, probability of increase = 90% = 90/100 = 0.9

Probability of decrease = 10% = 10/100 = 0.1

So probability in scenario 1 will be;

P(Two days decrease and one day increase)

= 0.1 * 0.1 * 0.9 = 0.009

Kindly note this can happen in any order and since no order was specified, we do not need to consider other cases

Scenario ii

Three days decrease

That will be;

P(three days decrease) = 0.1 * 0.1 * 0.1 = 0.001

So the addition of both since we will be having either of the two and or means addition in probability will be ;

0.001 + 0.009 = 0.01 = 1%

Answer:

84 text messages

Step-by-step explanation:

Set up a proportion and solve:

dollars / texts = dollars / texts

9.8 / 196 + 4.2 / x

9.8 * x = 4.2 * 196

9.8x = 823.2

9.8x / 9.8 = 823.2 / 9.8

x = 84

Brody would have sent 84 messages if he spent $4.20.

A ratio indicates the number of times one number contains another.

Given that, the cost of sending 196 text messages is $9.80.

Therefore,

$9.80 = 196 messages

$1 = 196/9.80 messages

$4.20 = (196/9.80)×4.20 messages

$4.20 = 84 messages

Hence, Brody would have sent 84 messages, if he spent $4.20.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ3

Answer:

P(C/R) = 0.4298

Step-by-step explanation:

Missing word "arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places )"

Solution:

Given that P(A) = 75% = 0.75

P(B) = 20% = 0.20

P(C) = 0.05

The chance of drawing a Red marble fro,

P(R/A) = 2% = 0.02

P(R/B) = 25% = 0.25

P(R/C) = 98% = 0.98

If he select Box A than the probability of Red marble drawing

= P(A) * P(R/A)

= 0.75 * 0.02

= 0.015

If he select Box  B than the probability of Red marble drawing

= P(B) * P(R/B)

= 0.20 * 0.25

= 0.5

If he select Box C than the probability of Red marble drawing

= P(C) * P(R/C)

= 0.98 * 0.05

= 0.049

So total probability of drawing Red marble is

P(R) = 0.015 + 0.050 + 0.049

P(R) = 0.114

If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is

P(C/R) = {P(C) * P(R/C)} / P(R)

P(C/R) = 0.049 / 0.114

P(C/R) = 0.429824

P(C/R) = 0.4298

Answer:

[tex]Volume_B = 630in^3[/tex]

Step-by-step explanation:

Given

[tex]Volume_A = 630in^3[/tex]

Required

Determine [tex]Volume_B[/tex]

Volume is calculated as thus:

[tex]Volume = Height * Area[/tex]

From the question, we understand that both prisms have the same height and area;

This implies that

[tex]Volume_B = Volume_A[/tex]

Substitute [tex]630in^3[/tex] for [tex]Volume_A[/tex]

[tex]Volume_B = 630in^3[/tex]

Answer:

e.  630 in³

Step-by-step explanation:

ratio and proportion of volume with the same height:

vol A = 630

h = 21

Vol A = Vol B

   h            h

630 = Vol B

   21         21

Vol B = 630 (21)

               21

Vol B = 630 in³

Answer:

5

Step-by-step explanation:

Plug is 6 for r and 0.25 for s

6(0.25)+14(0.25)

distribute

1.5+3.5=5

Hope this helps

Answer:

Step-by-step explanation:

x² - 10x + 25 = 35

Move 35 to the left side of the equation

That's

x² - 10x + 25 - 35 = 0

x ² - 10x - 10 = 0

Using the quadratic formula solve the equation

That's

From the question

a = 1 , b = - 10 , c = - 10

Substitute the values into the above formula and solve

That's

[tex]x = \frac{ - - 10\pm \sqrt{( { - 10})^{2} - 4(1)( - 10) } }{2(1)} \\ = \frac{10\pm \sqrt{100 + 40} }{2} \\ = \frac{10\pm \sqrt{140} }{2} \\ = \frac{10\pm2 \sqrt{35} }{2} \\ = \frac{10}{2} \pm \frac{2 \sqrt{35} }{2} \\ = 5\pm \sqrt{35} [/tex]

We have the final answer as

Hope this helps you

Answer:

h is the horizontal shift

Step-by-step explanation:

y = a(x – h)^2 + k

This is the equation for a parabola in vertex form

The vertex is ( h,k) and it is shifted from (0,0)

h is the horizontal shift and k is the vertical shift

Answer:

H

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

93+(68+7)=100+68=168

Answer: -12.5

Step-by-step explanation:

x(2y-3) and x=2.5 and y=-1

so you fix in the figures so it will turn to

2.5(-2-3)

so then you open the brackets with 2.5

-5-7.5

Answer: -12.5