Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have originally

Answers

Answer 1

Answer: If $\frac { 3 }{ 4 }$ is left, that means $\frac { 1 }{ 4 }$ was spent. So $\frac { 1 }{ 4 }$ of the total amount is equal to 39.. Let's say x to the total amount. $\frac { 1 }{ 4 } \cdot x=39\n x=4\cdot 39\n x=156\n$

Answer 2

Answer: $156, $39 is 1/4 of the money so 39 * 4 = 156

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Which of the following statements best gives the reasons that a long distance telephone bill is and essential (variable) expense?

Answers

Long distance telephone bill is really expensive because you are contacting someone outer than the realms of your allowed distance calls. That is why when you call someone far away, you need to pay to the added service and benefits.

How do you do this problem?You have $22 and you use it four tickets and after you bought it, you have $6 left. How much did each ticket cost?

Answers

Answer: $4.

Explanation: Get $22 nd minus $6 you have left, and it equals $16 for the total of tickets. Then get $16 and divide it with the number of tickets, which is 4, so $4 for 1 ticket!

Hope this helps!

Question 2 of 10 What is the length of side s of the square shown below? 45 6 09 90° O A. 6 O B. 2 O C. 32 O D. 5 O E. 3 OF. 6-12

Answers

Answer:

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = $(√(2) )/(2)$ , then

cos45° = $(adjacent)/(hypotenuse)$ = $(s)/(6)$ = $(√(2) )/(2)$ ( cross- multiply )

2s = 6 $√(2)$ ( divide both sides by 2 )

s = 3 $√(2)$ → C

Last week you worked the following hours: Monday, 5½ Wednesday, 6¾ Friday, 4½ How many hours did you work in all last week? A. 16¾ B. 17½ C. 17¾ D. 18½

Answers

Answer:

A. 16¾

Step-by-step explanation:

We will convert all the mixed fractions to improper fractions.

Monday, 5½ = $(11)/(2)$

Wednesday, 6¾ = $(27)/(4)$

Friday, 4½ = $(9)/(2)$

Now, we will add all these fractions by taking the LCM of denominator.

The LCM of 2,4 and 2 is 4.

We get the following result after addition.

$(11)/(2) +(27)/(4) +(9)/(2)$

= $(22+27+18)/(4)$

= $(67)/(4)$ hours

In mixed fraction it becomes 16¾ hours.

There are 130 red, blue and green marbles in a bag. The ratio of red to blue to green is 5:3:2 respectively. How much marbles in the bag are blue?

Answers

5 parts are red
3 parts are blue
2 parts are green

There are 10 parts in the bag altogether, and they add up to 130 marbles.
So each 'part' is 13 marbles.

Red = 5 parts = 65 marbles
Blue = 3 parts = 39 marbles
Green = 2 parts = 26 marbles

65 + 39 + 26 = 130 so we ended up on the track.

One would take the ratios, and add them.
5+3+2 = 10
The divide the total number of marbles by the sum of the ratios.
130/10 = 13
And finally multiply the quotient by each of the three numbers in the ratio (5:4:3) to get the number of marbles that are each colour.
Red: 13 * 5 = 65
Blue: 13 * 4 = 52
Green: 13 * 3 = 39
Therefore, there are 52 blue marbles in the bag.

Perry Mazza wants to borrow $30,000 from the bank. The interest rate is 6% and the term is for 5 years. What is the amount of interest paid?