share £54 into the ratio 1:3

Answers

Answer 1

Answer:

£13.5

£40.5

Step-by-step explanation:

Let the amount of shares be x and 3x

Therefore,

[tex]x + 3x = 54 \\ \\ 4x = 54 \\ \\ x = \frac{54}{4} \\ \\ x = 13.5 \\ \\ 3x = 3 \times 13.5 = 40.5[/tex]


Related Questions

PLEASE HELP: but The angle measurements in the diagram are represented by the following expressions.
A=10x+24°
B=6x+72°
Solve for x then find the measure of angle A:


Answers

The two angles given are alternate exterior angles i believe. Therefore they are equal. So set the equations given equal to each other and solve. Sorry if I’m wrong!

What’s the a and b from the quadratic function

Answers

Answer: a=1 b=-4

Step-by-step explanation:

Apply the equation y= a^2+bx+c


A third grade teacher is creating a ball tossing competition and has divided her students into three teams. She wants to find the best location to place the basket
so that each team has to throw the ball the same distance. Plot the point that is equidistant from all three teams.

Answers

Answer:

Is there a location drawn cause I'm pretty sure without a visual you wont be able to plot here.

An expression is given.

16

14
÷
2
+
(
3
+
2
)
2

What is the value of the expression?

46

46

34

34

26

26

16

Answers

9514 1404 393

Answer:

  34

Step-by-step explanation:

Maybe you want to evaluate ...

  16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

  16 -14÷2 +5²

Then the exponential term.

  16 -14÷2 +25

The division is evaluated next.

  16 -7 +25

Finally, the sum is evaluated.

  = 9 +25

  = 34

____

Your calculator can do this arithmetic for you.

Stuart wants to find the value of 3 - 2
Part A
Before Stuart can subtract, he needs to rewrite both fractions with a common denominator. Drag a number or an expression into each box to show how to write equivalen
fractions for 3 and 2 so the new fractions have a common denominator.
33 = 3+ 10
2} = 2+1-21
:
::
X
*8
G
::

Answers

Answer:

To subtract fractions, we usually first find a common denominator.

Find two different common denominators for 12 and 114

Use each common denominator to find the value of 12−114. Draw a picture that shows your solution.

Find 59−16. Draw a picture that shows your solution.

Find 2110−2415.

Gianna is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled i to 4 and spins a spinner with three equal-sized sections labeled Walk, Run, Stop?

Answers

Answer:12

Step-by-step explanation: basically 4x3 over the events

Multiplication is the process of multiplying. The number of different possible outcomes for Gianna's board game is 12.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The number of possible options that the die has is 4. The number of possible options the spinner has is 3. Therefore, the total number of possible options is,

Total number of possible options

= (Number of possible options on-die) × (Number of possible options on spinner)

Total number of possible options = 4 × 3

Total number of possible options = 12

Hence, the number of different possible outcomes for Gianna's board game is 12.

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You may use a calculator for this item.
Jose makes sandwiches in his restaurant. The table shows the amount of meat he uses on each sandwich.
Type of Sandwich
Amount of Meat on each Sandwich
1
Ham
4 pound
Turkey
pound
Yesterday, Jose sold 9 ham sandwiches and 10 turkey sandwiches. What was the total amount of meat, in pounds,
Jose used yesterday? Show your work or explain how you found your answer.

Answers

Answer:

49 total pounds

Step-by-step explanation:

If a 1 piece of ham is 1 pound then 9 pieces is 9 pounds if turkey si 4 pounds then 10 turkeys is 40 pounds so our answer is 49 total pounds.

What is $980.17 rounded to the nearest 10 dollars?

Answers

Answer:

$980

Step-by-step explanation:

Answer:

$980

Step-by-step explanation:

This is 980.17 the 17 is the decimal spot. what is 17 rounded to? for tens place it will be 0. The number line pushes the numbers in the tens from 10 to 49. If it gets to 50 then it goes up. however if it stays at 49 or lower the number goes down.

980 is the answer. Hope This Helps!


A large bluefin tuna caught by fishing boat A in the Atlantic Ocean wighed 1305 pounds. This is 796 pounds less than 6 times the weight of a bluetin tua caught by fishing bout B in the Atlantic Ocean. Find the weight of the tur
caught by fishing boat B in the Atlantic Ocean
The weight of the tuna caught by fishing bout B pounds

Answers

Answer:

350.17 pounds

Step-by-step explanation:

Set up an equation where x is the weight of the tuna from bout B:

1305 = 6x - 796

Solve for x:

2101 = 6x

350.17 = x

So, the weight of the tuna is approximately 350.17 pounds

What is 7 3/4 - 1/3 =

Answers

Answer: 215/12

Step-by-step explanation:

7 3/4 - 1/3
27/4 - 1/3
27/4 x 3/3 = 81/12
1/3 x 4/4 = 4/12
81/12 - 4/12 = 77/12
77/12 = 6 5/12

haha that’s a lot of work, lol


The list shows the numbers of each type of pie baked at a bakery today.
• 13 apple
• 4 pecan
• 3 pumpkin
What percentage of the pies baked today were NOT apple?

Answers

35%, because the apple pies account for 65% of the pies made

The percentage of pies baked that were not apple was 33.33 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The number of apple pies baked at the bakery = 13

The number of pecan pies baked at the bakery = 4

The number of pumpkin pies baked at the bakery = 3

So ,

Total number of pies baked at the bakery =
Number of apple pies baked at the bakery + Number of pecan pies baked at the bakery + Number of pumpkin pies baked at the bakery

Total number of pies baked at the bakery = 13 + 4 + 3

                                                                      = 21

Now ,

The number of pies that were not apple = Number of pumpkin pies baked at the bakery + Number of pecan pies baked at the bakery

The number of pies that were not apple = 4 + 3

                                                                   = 7

And ,

The percentage of pies that were not apple =

( The number of pies that were not apple / Total number of pies baked at the bakery ) x 100 %

The percentage of pies that were not apple = ( 7 / 21 ) x 100 %

                                                                         = ( 1 / 3 ) x 100 %

                                                                         = 33.33 %

Hence , the percentage of pies that were not apple is 33.33 %

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Write the equation of the line that has a slope of ½ and a y-intercept of -2.

Answers

Answer (assuming it can be in slope-intercept form):

[tex]y = \frac{1}{2}x-2[/tex]

Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write the line's equation in slope-intercept form, or y = mx + b format. To write a full equation, substitute the m and the b for real values.

The m represents the slope of the line. Thus, substitute [tex]\frac{1}{2}[/tex] for m. The b represents the y-intercept. Thus, substitute -2 for b. This gives us the following equation and answer:

[tex]y = \frac{1}{2}x -2[/tex]

QUESTION IN THE PHOTO

Answers

Answer:

ans is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What is the value of A in this equation? sin(53.2°) = cos(A)
(I need this answer ASAP please)

Answers

Answer:

[tex]A= 35.8[/tex]

Step-by-step explanation:

Given

[tex]sin(53.2) = cos(A)[/tex]

Required

Find A

In trigonometry

[tex]sin(\alpha) = cos(\theta)[/tex]

Then

[tex]\alpha + \theta = 90[/tex]

So, this gives:

[tex]54.2 + A= 90[/tex]

Make A the subject

[tex]A= 90-54.2[/tex]

[tex]A= 35.8[/tex]

En la promoción “La tómbola del descuento” de una tienda de autoservicio los clientes obtienen distintos descuentos por sus compras. Si Alma pagó $160.00 por un artículo cuyo precio original era de $200.00, ¿de cuánto fue el descuento que obtuvo en la tómbola?

Answers

Respuesta:

el descuento fue de 20%

Which of the following values for x is true for 4x > 10?


Help please

Answers

Answer:

x=3

Step-by-step explanation:

this is because if you try each salution this is the knly one that is greater than 10

Please help with this problem

Answers

Answer:

Step-by-step explanation:

you can think they come in pairs :

3 crates and 5 boxes = 8 (crates +boxes)

40 (crates+ boxes) are maximum to be hold so we can have 40/8 = 5 such pairs

the truck can hold

3 *5 = 15 crates and 5 *5 =25 boxes

Answer :15 crates and 25 boxes

Simplify the following expression. 3 ^11/5 dived 3-^9/5

Answers

Answer:

81 is the answer cause u just have to aolve the 3^11^5 first ana comes and divide with the answer ot 3^-9/5.

A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 9.

Answers

Answer:

you are only rolling 1 dice the probability of getting 9 is 0 there are only 6 sides to one die

Probability of getting a 9 is 0

Give that;

Total number of outcome in die = 6

Total numbers are {1, 2, 3, 4, 5, 6}

Find:

Probability of getting a 9

Computation:

Number of outcome 9 come in a die = 0

So,

[tex]Probability = \frac{Number\ of\ favourable\ outcomes}{Total\ outcomes}[/tex]

Probability of getting a 9 = 0 / 6

Probability of getting a 9 = 0

Learn more:

https://brainly.com/question/23044118?referrer=searchResults

can someone please help

Answers

I believe b good luck !!

9514 1404 393

Answer:

  C.  √15 units

Step-by-step explanation:

The Pythagorean theorem tells you of the relationship between the sides and diagonal of the rectangle:

  8² = 7² +?²

  64 = 49 + ?²

  15 = ?² . . . . . .subtract 49

  ? = √15 . . . . . take square roots

If a(x) = 3x + 1 and b(x)= VX-4, what is the domain of (bºa)(x)?
0 (-0,00)
0 (0.00)
O [1,00)
O [4,00)

Answers

The domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex].

How to apply composition between functions

The composition of two functions consists in replacing the variable of the former function ([tex]b(x)[/tex]) by the latter function ([tex]a(x)[/tex]). If we know that [tex]b(x) = \sqrt{x-4}[/tex] and [tex]a(x) = 3\cdot x +1[/tex], then the composite function:

[tex]b\,\circ\,a \,(x) = \sqrt{(3\cdot x+1)-4}[/tex]

[tex]b\,\circ\,a\,(x) = \sqrt{3\cdot x-3}[/tex]   (1)

Since the composite function is a square root function, then the domain fulfill the following inequation:

[tex]3\cdot x -3 \ge 0[/tex]

[tex]x \ge 1[/tex]

Hence, the domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex]. [tex]\blacksquare[/tex]

To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372

Factor by grouping.
9x3 – 39x2 – 30x

Answers

Given:

The expression is

[tex]9x^3-39x^2-30x[/tex]

To find:

The factors by grouping method.

Solution:

We have,

[tex]9x^3-39x^2-30x[/tex]

Taking out common factors, we get

[tex]=x(9x^2-39x-30)[/tex]

Splitting the middle term, we get

[tex]=x(9x^2-45x+6x-30)[/tex]

By grouping method, we get

[tex]=x(9x(x-5)+6(x-5))[/tex]

[tex]=x(x-5)(9x+6)[/tex]

Therefore, the factor form of given expression is x(x-5)(9x+6).

Ruth's gross paycheck last week was $445.50 from working 27 hours. What is her hourly
pay rate?

Answers

______________________________

= $445.5 ÷ 27Hrs= 16.5= $16.50Ruth's Hourly Pay Rate Is $16.50

______________________________

Dakari makes 2 dozen jars of jam. The total weight of all of the filled jars is 211.2 ounces. When empty, each jar weighs 1.2 ounces. The equation_____?_______
can be used to calculate the weight, j, of jam in one jar. The weight of jam in one jar is ______?________
ounces. Pls fill in blanks

Answers

Answer:

Step-by-step explanation:

Answer:

a and c for the blanks

Anthony received $150 for his birthday this year. This was $20 less than half the amount he received last year. How much money did Anthony receive for his birthday this year?

Answers

Answer:

Step-by-step explanation:

Anthony received last year

150-20=130 dollars

needhelp

select the correct answer
what are the ratios equvialnt to each other
a 1:6 and 2:9
b 2 :23 and 4:8
c 1:64 and 4:16
d 1:16 and 4:64

Answers

D. 1:16 and 4:64 are equivalent
D. 4:64 simplified is 1:16 so they are equal

PLEASE HELP ITS DUE IN 3 MIN WILL MARK BRAINLEST

Answers

Answer:60mm

Step-by-step explanation:

288,000 π = (4/3)πr³

Divide both sides by π

288,000 = (4/3)r³

Multiply both sides by 3/4

216,000 = r³

Take the cube root of both sides

60 = r

find the sum of four consecutive odd numbers is 80. find the number.​

Answers

17, 19, 21, 23 is your answer!

Sam decided to go to the amusement with his sister. He paid $10 for parking and $12.50 per ticket. Determine the y-intercept. Write your answer as an ordered pair (x, y) .

Answers

Answer: (0,10)

Step-by-step explanation: y=mx+b

y=12.5x+10

0=12.5x+10

10 is y because its on the outside

What is the mean of a binomial distribution with 20 trials and a probability of success for each trial of 30% ?

Answers

90 ala llame si manifiesta tu fiesta José nada

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