All categories

2 years ago

Need help with this question.

Mathematics

1 answer:

Vaselesa [24]2 years ago

4 0

Answer:

4:1 (I think)

Step-by-step explanation:

Let's write some equations first:

For both prices increasing by 20:

$\frac{x+20}{y+20} =\frac{5}{2}$

then we can use cross multiplication

2x+40=5y+100

For both prices decreasing by 5:

$\frac{x-5}{y-5} =\frac{5}{1}$

same here:

5y-25=x-5

Using substitution for 5y, we get: 5y=x+20

2x+40=5y+100

2x+40=x+20+100

x=80

plugging this in to the second equation:

5y-25=x-5

5y-25=80-5

5y-25=75

5y=100

y=20

therefore we get x:y=80:20

4:1

You might be interested in

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

3 0

2 years ago

Calvina Miller makes a car payment of $214.50 every month. Her car

Akimi4 [234]

12,870 dollars. Let me know if you want me to show my work.

4 0

2 years ago

Which of the following statements are never true? Select all that apply. Three points are coplanar Two planes meet in exactly on

statuscvo [17]

Answer: Two planes meet in exactly one point

Two lines meet at exactly two points

Step-by-step explanation:

From the given statements there are two statements which are never true :-

1) Two planes meet in exactly one point .

Since when two line meets , they either meet at one point or infinite points (coincidence) , thus its impossible that they will meet at exactly two points.

2) Two lines meet at exactly two points

Since when two planes meet , the intersection of two plane always make a line not a point. Thus its impossible.

7 0

3 years ago

One cup equals approximately 236 ml. Approximately how many ml are there in one gallon

GREYUIT [131]

Answer:

<u>Approximately there are 3,785.6 milliliters in one gallon </u>

Step-by-step explanation:

Let's find out how many milliliters are there in one gallon.

1 US Cup = 236.6 ml (actual equivalence)

Let's recall that:

16 US Cups = 1 US Gallon

Therefore,

1 US Gallon = 16 * 236.6 ml

1 US Gallon = 3,785.6 ml

<u>Approximately there are 3,785.6 milliliters in one gallon</u>

5 0

3 years ago

At a sandwich shop, a plain sandwich, which costs $3.00, consists of one type of bread, one type of meat, and one type of cheese

kramer

192 possible plain sandwiches can be made because you would do 4x6x8 which equals 192.

7 0

3 years ago

Read 2 more answers