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murzikaleks [220]
3 years ago
10

the silver town people went to a fancy restaurant after the big event. Grammy gave the server a 15$ tip. If the tip was 20% of t

he cost of dinner, how much was dinner. what is the answer
Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer:

$15

Step-by-step explanation:

Let d represent the cost of the dinner before tip.  Then $15 = 0.20d, since 0.20 is the decimal fraction corresponding to 20%.

Solving for d, the cost of the dinner, we divide both sides of the equation $15 = 0.20d by .20, obtaining:

        $15

d = ------------ = $75

         0.20

The cost of the dinner before tip was $75.

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Allie and Ezra are sitting on flagpoles, throwing beanbags at each other. Allie's flagpole is $35$ feet tall. Ezra's flagpole is
Vedmedyk [2.9K]

Ezra has to throw a beanbag 17 feet far to reach Allie

According to the question,

The distance between Allie and Ezra's flagpoles is 15 feet

length of Allie's flagpole = 35 feet

length of Ezra's flagpole = 27 feet

Difference between Allie and Ezra's flagpole = (35 - 27) feet

= 8 feet

Now, there forms a right angled triangle, where hypotenuse is the distance that Ezra's bean bad has to cover.

Using Pythagoras theorem,

H^{2} = B^{2} + A^{2}

where H = hypotenuse,

B= Base of the triangle

A = Altitude of the triangle

we are given,

B = 15 feet,

A = 8 feet

On substituting the values,

H^{2} = 15^{2} + 8^{2}

H^{2} = 225 + 64\\H^{2} = 289\\H = \sqrt{289} \\H = 17\\

So hypotenuse = 17 feet

Ezra has to throw the beanbag 17 feet far in order to reach it to Allie.

To learn more about Pythagoras theorm from the given link

brainly.com/question/343682

#SPJ4

5 0
2 years ago
A School ordered 357 packages of pencils. If there are 42 teachers, how many packages does each teacher get?
frez [133]

Answer:

Each teacher gets 8.5 or 8 1/2 packages

Step-by-step explanation:

When you divide 357 by 42 you get 8.5 so each teacher will get 8 and a half packages of pencils. Hope this helped

8 0
3 years ago
Read 2 more answers
The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).
3241004551 [841]

Answer:

y = x + 4

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

3 0
4 years ago
Taylor has $32000 a part of which he invested at 5% and the remainder at 3%. His annual return on each investment is the same. A
ki77a [65]

Taylor have to invest the total money at 3.75%

Step-by-step explanation:

Let the part of money invested at 5% be 'a' and the part of money invested at 3% be (32000-a).

To find (a) :

The annual income for both the 5% and 3% investment is equal.

Interest= (amount x rate of interest x time) /100

Interest for 5% rate on investment

Interest = (a x 5 x 1) /100

Interest for 3% rate on investment

Interest = [(32000-a) x 3 x 1]/100

Both the interests are equal so equate both the equations.

(a x 5 x 1) /100 = [(32000-a) x 3 x 1] /100

5a = (32000-a) 3

5a = 96000-3a

8a = 96000

a = 96000/8

a = 12000

32000-a = 32000-12000

= 20000

The amount invested at 5% is $12000 and invested $20000 at 3%

Interest = (12000 x 5 x 1) /100

= 60000/100

= $600

Interest = (20000 x 3 x 1) /100

= 60000/100

= $600

Total interest = $1200

To find the rate at which the total money is to be invested to get the same annual income.

1200 = (32000 x rate x 1) /100

1200 x 100 = 32000 x rate x 1

120000 = 32000 x rate

120000/32000 = rate

Rate = 3.75%

Taylor have to invest the total money at 3.75% to get the same annual income

4 0
3 years ago
If jamie completed 5 chores, about how much money did she earn?
QveST [7]

Answer:

5(chore payment)

Step-by-step explanation:

since we dont know how much money the chore is worth it would be 5 times the money

4 0
2 years ago
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