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3 years ago

The sum of the cost of dinner d and a $12 tip divided equally between 3 people

Mathematics

1 answer:

torisob [31]3 years ago

4 0

Answer: 4

Step-by-step explanation:

First you make your equation

3d=12

Divide

You get d=4

Therefore each person pays 4 dollars of the 12 dollar tip

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

$y = - 3 {x}^{2} + 48x - 195$

We factor -3 from the first two terms to get:

$y = - 3( {x}^{2} - 16x) - 195$

Add and subtract the square of half the coefficient of x

$y = - 3( {x}^{2} - 16x + 64) + 3 \times 64- 195$

$y = - 3 {(x - 8)}^{2} + 192 - 195$

We simplify to get:

$y = - 3 {(x - 8)}^{2} - 3$

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0

3 years ago

On Monday John bought 7 apples. On Tuesday he bought 3 times as many apples as he did on Monday. How many apples did John buy on

d1i1m1o1n [39]

He brought 21 apples.

8 0

3 years ago

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The sum of fifteen and six times a number t is eighty one

topjm [15]

3.86
_____________________________________________________________

6 0

3 years ago

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Find the distance<br> (8,1)(-2,-5)

Natalija [7]

Answer:

Square root of {(-2-8)^2+ (-5-1)^2}

Square root of {(-10)^2 + (-6)^2}

Square root of 100 +36

Square root of 136 = 11.66

Distance is 11.66

3 0

3 years ago

The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2

MrRa [10]

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in glass B be x

then

$\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}$

Substituting the values ,

$\frac{8}{3} \times x = \frac{7}{2} \times 320$

$\frac{8}{3} \times x = \frac{2240}{2}$

$\frac{8}{3} \times x = 1120$

$x = 1120 \times \frac{3}{8}$

$x = \frac{3360}{8}$

x = 420

Now total volume of soda in the two glasses

=> volume of soda in glass A + volume of soda in glass B

=> 320 + 420

=>740mL

5 0

3 years ago