Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?

Answers

Answer 1
A gets £21, B gets £14

(Use ADAM - Add, Divide and Multiply
3 + 2 = 5, £35 ÷ 5 = £7, £7 x 3 = £21 and £7 x 2 = £14

Related Questions

Scarlett bought 9 chicken wings for $3. What was the cost of the wings in wings per dollar? Express your answer in simplest form.

Answers

Answer:

3

Step-by-step explanation:

To find how much you can get for one dollar, you have to divide 9 by 3. If you have to find how many units can you get for one dollar, (you need to divide the larger number by the smaller)

Divide 9 by 3.

9/3=3

So, with $1, you can get 3 chicken wings.

Find the value of "Y" if;
Y-3 [4-2Y] = 16​

Answers

Answer:

y=4

Step-by-step explanation:

hello :

Y-3 (4-2Y) = 16​

y-12+6y = 16​

7y-12=16

so :7y =12+16

7y=28

y=28/7 =4

The high for Monday was 0 degrees Fahrenheit and the low was -4 degrees Fahrenheit. What is the difference between the high and low temperature?

Answers

One is in the negatives. The difference is 5

If P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent?

Select the option that provides both the correct answer and the correct reason.

No, because 35(13)≠18.

Yes, because 35(13)=18.

Yes, because 35+13=18.

No, because 35÷13≠18.

No, because 35+13≠18.

Answers

Answer:

P(A) x P(B) = 35 x 13 = 455

P(A∩B) = 18

=> P(A) x P(B) ≠ P(A∩B).

=> A and B are not independent.

=> Option A (No, because 35(13)≠18) is correct.

Hope this helps!

:)

A and B are not independent because 35(13)≠18), the correct option is A

What is the independent probability?

Independent events and probability can be defined as those occurrences that are not dependent on any specific event.

P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.

It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18

P(D│E) = P (D ∩ E)/ P(B)

P(D│E) = 18/13

Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.

Taking A and B as independent events, then P(D│E) = P(D).

Here, A and B are not independent because 35(13)≠18), the correct option is A.

Learn more about probability here;

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Calculate the area of this figure below​

Answers

Answer: [tex]96ft^2[/tex]

Step-by-step explanation:

We have a composite figure. We have a rectangle and a triangle. Calculate each of these figures' areas individually and add them together.

Rectangle:

length=10ft

width=8ft

[tex]Formula:A=l*w\\A=(10ft)(8ft)\\A=80ft^2[/tex]

----------------------------------------------------------

Triangle:

base: 4ft

height: 8ft

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

[tex]A=\frac{(8ft)(4ft)}{2}[/tex]

[tex]A=\frac{32ft^2}{2}[/tex]

[tex]A=16ft^2[/tex]

-------------------------------------------------------------

Add them:

[tex]80ft^2+16ft^2=96ft^2[/tex]

What is the value of x?

Answers

Answer: x = 9, y = 5

Step-by-step explanation:

If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.

set the equation equal to 60 to solve for x

7x - 3 = 60

add three to both sides

7x = 63

divide both sides by 7

x = 9

find y by setting the equation equal to 60

11y + 5 = 60

subtract 5 from each side

11y = 55

divide both sides by 11

y = 5

I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help

Answers

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.

The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

(-2 - 0)/(0 - (-1)) = -2/1 = -2

The line on the right passes through (0, 2) and (1, 0), so its slope is

(0 - 2)/(1 - 0) = -2/1 = -2

The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?

Answers

If you order 4 pizzas with delivery at Jacob’s or Ashley’s pizza place they will both be $60

Answer:

The pizza parlors cost the same when delivering 4 pizzas.

Step-by-step explanation:

For each store, the total price is

cost of pizzas + cost of delivery

The cost of delivery is just a fixed number for each store, $20 or $12.

The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.

Let x = number of pizzas

The cost of the pizzas is

Jacob's: 10x

Ashley's: 12x

Jacob's total cost (pizzas + delivery):

10x + 20

Ashley's total cost (pizzas + delivery):

12x + 12

We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.

12x + 12 = 10x + 20

Subtract 10 from both sides.

2x + 12 = 20

Subtract 12 from both sides.

2x = 8

Divide both sides by 2.

x = 4

Answer: The pizza parlors cost the same when delivering 4 pizzas.

Solve the following system of equations using elimination (addition)

5x - 6y = - 32

3x + 6y = 48

Answers

Answer:

x = 2

y = 6 1/3

Step-by-step explanation:

5x - 6y = -32

3x + 6y = 48

-----------------

8x = 16

x = 2

5(2) - 6y = 48

10 - 6y = 48

-6y = 48 - 10

-6y = 38

y = 6 1/3

Please help asap! Will give brainliest! Please answer correctly! No guessing. Check all that apply.

Answers

Answer:F

Step-by-step explanation:

Answer:

i honestly think that its A, C, D, F.

Step-by-step explanation:

for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.

For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.

For D you should draw a diagram so you can keep track of your information that you used to get the final solution.

For F, you should always make sure that you didn't mess up and that you can redo it to double check.

2. Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have eamed if her rate is 5.5% compounded annually?

Answers

Answer:

Step-by-step explanation:

interest = Amount - principal

A = P(1+r)^t

r = 5.5% = 5.5/100 = 0.055

A = 1663(1+ 0.055)^19

A = 1663 (1.055)^19

A = 4,599.270812203411

Let’s say A = 4,599

interest = 4,599-1663 = 2,936

A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer?

Answers

Answer:

475

Step-by-step explanation:

1021-71

950/2

Find the surface area.

Any help will be appreciated thank you

Answers

Answer:

Find the area of the shape

First the two triangles

3 x 4 = 12 so the area of both triangles is twelve

Now it is only 1 big rectangle left

The side lengths can be added 3 + 4 + 5 = 12

12 x 11 = 132

132+12=144

144 is the surface area/area

If you have any questions please ask

Step-by-step explanation:

What is the first step to solving the quadratic equation x2=9over 16

Answers

Answer:

divide both sides by 2

Step-by-step explanation:

divide both sides by 2 then simplify and get x = 9 over 32

Answer:

Transposing square to rhs,it becomes root

Step-by-step explanation:

[tex]x^{2} =9/16[/tex]

[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)

[tex]x= 3/4[/tex]

Hope it helps...Pls mark as Brainliest!!!

-189=4x-3(-4x+15) help me i need help badly

Answers

Answer:

Step-by-step explanation:

−189=4x−3(−4x+15)

−189=16x−45

16x−45=−189

16x−45+45=−189+45

16x=−144

16x /16

= −144 /16

x=−9

Good luck honey !!

Answer:

x=-9

Step-by-step explanation:

-3×-4= 12x -3×15=-45

4x+12x-45=-189

4x+12x=16x

16x-45=-189

16x=-144

x=-9

Which of the following values is a solution to the inequality? 12 – 5x > -8

Answers

Answer:

x < 4

Step-by-step explanation:

12 – 5x > -8

Subtract 12 from each side

12-12 – 5x > -8-12

-5x> -20

Divide each side by -5, remembering to flip the inequality

-5x/-5 < -20/-5

x < 4

???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Answer:

8

Step-by-step explanation:

7*4=28

2*4=8

Answer:

c=8

Step-by-step explanation:

Using cross. multiplication

multiply 2 by 28 2x28=56

Multiple c by 7 cx7=7c

divide both sides by 7

c=8

whats 21/40 in equivalent decimals​

Answers

The equivalent decimals for 21/40 is 0.525

y = 2 - 2
y = 3x +4
Is (4, 2) a solution of the system?
Choose 1 answer:
А)
Yes
B
No

Answers

Answer:

B. No

Step-by-step explanation:

In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.

One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:

y =? 3x + 4

2 =? 3 * 4 + 4

2 =? 12 + 4

2 ≠ 16

Thus, we know that (4, 2) is not a solution and the answer is B.

~ an aesthetics lover

a, b , c and d are four integers.
their mean is 8.
their mode is 7.
their median is 7.5.
find the four integers

Answers

7, 7, 8, 10 are the four integers

Explanation:
7 + 7 + 8 + 10 = 14 + 18 = 32 / 4 (to find mean) = 8

Mode means a number that occurs the most often, so 7 will be the answer

Median is the middle number, and that will be 7 and 8. To find median, you add up 7 and 8 together and divide the number by 2 to find the average, and that will be 7.5

The four integers are 7, 7, 8, 10

What are the integers ?

Four integers are a, b, c, d

Mean = Sum of integers/Total number of integers

         = (a+b+c+d)/4

According to the question,

Mean = 8

i.e. (a+b+c+d)/4 = 8

⇒ a+b+c+d = 32 ......(1)

Median (for even no. of integers) = ([tex]\frac{n}{2}^{th} +(\frac{n}{2}+1)^{th}[/tex] term)/2

                                                       = (2nd+3rd term)/2

                                                       = (b+c)/2

According to the question,

Median = 7.5

i.e. (b+c)/2 = 7.5

⇒ b+c = 15  .....(2)

We know that, most frequent data is the mode.

So, mode = 7 means the number 7 occurs most frequently.

7 is not more than 2 times, because if 7 occurs 3 times, then 2nd & 3rd term will be 7 & median will be (7+7)/2 i.e. 7, so 3rd term must be larger than 7 to adjust the median value, which is 7.5

Then 1st two integers are 7 & 7

i.e. a = b = 7

Now, from (2), b+c = 15  

                    ⇒ 7+c=15

                    ⇒ c =15-7

                    ⇒ c = 8

Now, from (1) we get, a+b+c+d = 32

                                 ⇒ 7+7+8+d = 32

                                 ⇒ 22+d = 32

                                 ⇒ d = 32-22

                                 ⇒ d = 10

So, a = 7, b = 7, c = 8, d = 10

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-4x = -1/2(10x + 18)

Answers

Answer:

x = -9

Step-by-step explanation:

-4x = -1/2(10x + 18)

Distribute

-4x= - 5x -9

Add 5x to each side

-4x+5x = -5x+5x -9

x = -9

Find the percent of all values in a normal distribution for which z ≤ 1.00, to the nearest tenth of percent.

Answers

Answer:

84.1% of all values in a normal distribution have z ≤ 1.00.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The percent of all values in a normal distribution for which z ≤ 1.00.

This is the pvalue of Z = 1.

Z = 1 has a pvalue of 0.8413.

Converting to percentage, to the nearest tenth.

84.1% of all values in a normal distribution have z ≤ 1.00.

Frank measured 56 cm. The actual length was 61 cm. Which expression shows his percent error?

Answers

Answer: 8.54701% difference

Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%

Solve algebraically
8x + 4y = 48
12x + 5y = 21

Answers

Answer:

[tex]x=-\frac{39}{2}\\ y=51[/tex]

Step-by-step explanation:

[tex]8x+4y=48\\12x+5y=21[/tex]

Let's solve the first equation for x or y. I'll do it for y.

[tex]8x+4y=48[/tex]

Subtract 8x

[tex]4y=-8x+48[/tex]

Divide by 4.

[tex]y=-\frac{8}{4}x+\frac{48}{4}\\[/tex]

Simplify.

[tex]y=-2x+12[/tex]

Now replace the value of y in the second equation for this.

[tex]12x+5y=21\\12x+5(-2x+12)=21[/tex]

Distribute 5

[tex]12x-10x+60=21[/tex]

Subtract 60

[tex]12x-10x=21-60[/tex]

Combine like terms;

[tex]2x=-39[/tex]

Divide by 2.

[tex]x=-\frac{39}{2}[/tex]

Now replace this in any of the equations to find the value of y.

[tex]8x+4y=48\\8(-\frac{39}{2})+4y=48\\[/tex]

8 and 2 can be simplified.

8/2=4

2/2=1

[tex]4(-39)+4y=48[/tex]

Distribute 4.

[tex]-156+4y=48[/tex]

Add 156

[tex]4y=48+156\\4y=204[/tex]

Divide by 4

[tex]y=\frac{204}{4}[/tex]

[tex]y=51[/tex]

Proof:

[tex]8x+4y=48\\8(-\frac{39}{2} )+4(51)=48\\4(-39)+204=48\\-156+204=48\\48=48[/tex]

8x+4y=48
-4y -4y
8x=48-4y
divide 8 to both sides

x=6-1/2y


substitute the given value of x into the equation 12x+5y=21

12(6-1/2y)+5y=21

distribute 12 through the parentheses

72-6y+5y=21

add like terms

72-y=21

move constant to the right hand side and change signs

-y=21-72

calculate the difference

-y= -51

change signs

y=51

solve the question for x

x= 6-1/2 x 51

x= -39/2

(x,y) = (-39/2 , 51)

Please help!! A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. What is the probability that exactly two balls are yellow?

Answers

Answer:

7/16 or (if you are looking for a word) likely

Step-by-step explanation:

Emter 2/2/8 as an inpropper fraction

Answers

Answer:

The answer is 9/4

Step-by-step explanation:

Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
What percent of students in the sample were male?
Round your answer to the nearest percent.



Answers

Answer:

14/50 or 28%

Step-by-step explanation:

THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.

EZPZ

The radius of a cylindrical water tank is4.5ft , and its height is12ft . What is the volume of the tank? Use the value for , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

[tex]763 ft^3[/tex] or 763 cubic feet.

Step-by-step explanation:

The tank is cylindrical and the volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius and h = height

The radius, r, of the tank is 4.5 ft and the height, h, of the tank is 12 ft.

Therefore, the volume of the cylindrical water tank is:

[tex]V = \pi * 4.5^2 * 12\\V = 763.407 ft^3[/tex]

Approximating to whole number, the volume of the tank is [tex]763 ft^3[/tex] or 763 cubic feet.

what is exponential decay

Answers

Answer:

Exponential decay is the decrease in a quantity according to the law. (1) for a parameter and constant (known as the decay constant), where is the exponential function and is the initial value.

Answer:

When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.

Step-by-step explanation:

Find the slope and y-intercept of the graph of the linear equation.
12. y= 4x

Answers

Answer:

Slope = 4, y-intercept = (0,0)

Step-by-step explanation:

This problem is written in slope-intercept form. Meaning it is in the form y=mx+b. "M" is the slope, and "B" is the y-intercept. With that information, we easily see that 4 is the slope of the graph (it will go up 4 points for everyone one point it goes right). It seems that there is no y-intercept though, that is because we are expected to know that y=4x is the same as y=4x+0. Meaning, the problem can also be written this way and the y-intercept must be 0.

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