MULTIPLE CHOICE QUESTIONS

Write log4 14 as a logarithm of base 3. HELP!!!!!

Sonja [21]

It would be log3 14/log3 4
Hope this helps. (:

3 0

2 years ago

A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket

Harman [31]

A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket for $45.Let y represent the net profit in dollars when they have sold x tickets

Which of the following information about the graph of the relationship is given?

Choose 1 answer:

A

Slope and x-intercept

B

Slope and y-intercept

C

Slope and a point that is not an intercept

D

x-intercept and y-intercept

E

y-intercept and a point that is not an intercept

F

Two points that are not intercepts

Answer:

A. Slope and x-intercept

Step-by-step explanation:

We are told that each Ticket cost $45 , so the number of ticket sold should be multiplied by the cost of 1 ticket , Also; we were informed that x tickets were sold, this implies that the amount will be $45 multiplied by x , which is $45x. To find the profit (y) , then we must find the cost of 18 tickets which will give us the cost price and then subtract it from the selling price ($45x).

NOW:

Given that :

a charity organization had to sell 18 tickets

and one ticket cost for $45

Then 18 tickets = $45 × 18 = $810

Let y represent the net profit in dollars when they have sold x tickets

So : y = 45 x - 810

Relating the above equation with equation of a straight line y = mx +c ,

where :

m and c = the numbers on the gradient line ; &

y = slope

x = intercept where the graph crosses y - axis

Thus; the information given is the :Slope and x-intercept

8 0

3 years ago

The sum of two consecutive number is 15. the number are and solve

Fiesta28 [93]

By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,

Let us take :-

First number = x
Second number = x + 1

According to the Question :-

$\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }$

Therefore :-

First number = 7
Second number = 8

Hence the two numbers are 7 and 8. 

7 0

2 years ago

One vegetable warehouse had 210 tons of potatoes, another one had 180 tons. 90 tons of potatoes were delivered to the first and

kow [346]

Answer:

The number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.

Step-by-step explanation:

Let

x: number of days

y: amount of potatoes

We can express the amount of potatoes in each warehouse using linear equations:

Warehouse #1: $y_1 = 90x+210$

Warehouse #2: $y_2 = 120x+180$

We need to find the value of x when $1.2*y_{1} =y_{2}$

Substituting the expressions for y1 and y2 in $1.2*y_{1} =y_{2}$ :

$1.2*(90x+210) =120x+180$

Applying distributive law:

$108x+252 =120x+180$

Solving the equation by subtracting 108x and 180 on both sides:

$108x+252-108x-180 =120x+180-108x-180$

$252-180 =120x-108x$

$72 =12x$

Now we divide by 12 on both sides:

$\frac{72}{12} =\frac{12x}{12}\\6=x\\x=6$

Therefore, the number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.

4 0

3 years ago

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost a total of $228. Write an

yaroslaw [1]

Adults = 9
Children = 2

Let x be the number of adults.
11-x is the number of children.

22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.

11 - x = 11 - 9 = 2 number of children.

To check:

22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228

7 0

3 years ago

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