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1 year ago

There are y cupcakes in the class. It is two more than 4 times the number of donuts (X). How many donuts are there in the class?

Mathematics

1 answer:

Snezhnost [94]1 year ago

6 0

Answer:

Step-by-step explanation:

The given relationship between x and y can be solved for x.

<h3>given relation</h3>

There are 2 more cupcakes (y) than 4 times the number of donuts (x):

y = 2 +4x

<h3>solve for x</h3>

y -2 = 4x . . . . . subtract 2

x = (y -2)/4 . . . . divide by the coefficient of x . . . . matches 3rd choice

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Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

$C^{n} _{r}=\frac{n!}{(n-r)!r!}$

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

$C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364$

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3 years ago

Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, p

saveliy_v [14]

Answer:

Price of Caleb's groceries before tax = $64

Step-by-step explanation:

Let the price of groceries before tax be =$ $x$

Sales tax charged = $1.60

Sales tax rate =2.5%

Sales tax charged in terms of $x$ will be = 2.5% of the Original price of grocery = $2.5\% of x = 0.025\times x=0.025x$

So, we have,

$0.025x=1.60$

Dividing both sides by $0.025$

$\frac{0.025x}{0.025}=\frac{1.60}{0.025}$

∴ $x=64$

∴ Price of Caleb's groceries before tax = $64

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3 years ago

What is the value of the function f(x) = 2x – 5 when x = 22? 17 39 49 105

vlabodo [156]

Substitute 22 for x
2(22)-5
44-5
39

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3 years ago

Read 2 more answers

I need a 5 digital number

azamat

Answer:

What do you mean by that?

Step-by-step explanation:

5 0

3 years ago

The ordered pair below represents a point of the line3y+4x=5. enter the missing y- Coordinate for this point in the box

Igoryamba

9514 1404 393

Answer:

(-1/4, 2)

Step-by-step explanation:

Substitute the given information into the equation and solve for y.

3y +4(-1/4) = 5

3y -1 = 5 . . . . . . simplify

3y = 6 . . . . . . . . add 1

y = 2 . . . . . . . . . divide by 3

The point is (-1/4, 2).

4 0

3 years ago