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alina1380 [7]
3 years ago
15

Harini has twice as many sweet as Dora. After eating 18 sweets each she has 5 times as much as Dora. How many sweets did Harini

start with?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

9514 1404 393

Answer:

  48

Step-by-step explanation:

Let d represent the number of sweets Dora has to start with. Then 2d is the number Harini had. After they each ate 18, the ratio of their numbers is ...

  (2d -18)/(d -18) = 5/1

  2d -18 = 5(d -18) . . . . . multiply by d-18

  72 = 3d . . . . . . . . . . subtract 2d-90

  24 = d . . . . . . . . . divide by 3

  2d = 48

Harini started with 48 sweets.

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The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni
Alina [70]

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188           (units are "people")

t + b = 38                                                                      (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b:   6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40.  Thus, b = 20   (booths)

There are 20 booths and (38 - 20), or 18, tables.

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3 years ago
Destiny is planning a ice cream social. I local park right outside shelter for $40 in charges nine dollars per gas for ice cream
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Step-by-step explanation:

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2 years ago
Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)
arlik [135]

Answer:

y = \frac{4}{3} x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x ← is in slope- intercept form

with slope m = - \frac{3}{4} , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{3}{4} } = \frac{4}{3} , then

y = \frac{4}{3} x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = \frac{4}{3} x - 12 ← equation of perpendicular line

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3 years ago
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