Answer:
Step-by-step explanation:
If quantities vary directly, then one is simply the other multiplied by a fixed number. All sets of two numbers in a direct variation are one number multiplied by a fixed number to get the second number.
Example:
1 gallon of gasoline costs $3.50
2 gallons of gasoline cost $7.00
3 gallons of gasoline cost $10.50
Is the price of gasoline a direct variation based on the number of gallons?
3.5/1 = 3.5
7/2 = 3.5
10.5/3 = 3.5
When you multiply 1 gal, 2 gal, and 3 gal by the constant number 3.5 $/gal, you get the price. Since the multiplication is always by the same number, it is a direct variation.
Answer:
x +(2x + 3) = 33
Step-by-step explanation:
two equations can be derived from the question
c = 3 + 2x equation 1
c + x = 33 equation 2
where :
c = cappuccinos
x = lattes
make c the subject of the formula in equation 2
c = 33 - x equation 3
equate 3 and 1
x +(2x + 3) = 33
Answer:
Margarita gastó <u>$40.43.</u>
Step-by-step explanation:
Tenemos la siguiente información.
<u>km recorridos por Margarita</u>
42 km - ciudad
387 km - autopista
<u>Rendimiento del carro</u>
1 galon cada 28 km - ciudad
1 galon cada 36 km - autopista
Hacemos el siguiente factor de conversión
<u>Ciudad</u>

<u>Autopista</u>

Ahoa, se sabe que 1 galon cuesta $3.30. Por lo tanto, el costo de viaje será:
Total galones = 1.5 + 10.75 = 12.25 galones
Total costo = 3.30*12.25 = $40.43.
Espero te haya servido!
Ok so area=162
since the triangles sides were cut out of a square, base=height
area=1/2bh=162
b=h
area=1/2b^2=162
times 2 both sides
b^2=324
sqrt both sides
b=18=h
the legnth of one side is 18cm
see diagram
another way, is total aera of square=areas of both triangles=162+162=324
remember area of square=side^2 so
324=side^2
sqrt both sides
18=side
answer is 18cm
Answer:
$125,000.12 last year
$375,000.36 this year
Step-by-step explanation:
Last year, her profits were x.
This year, the profits are three times greater, so they are 3x.
Altogether for both years, the profits are x + 3x = 4x.
The profits for both years combined are $500,000.48
4x = 500,000.48
Divide both sides by 4.
x = 500,000.48/4
x = 125,000.12
The profits last year were $125,000.12
This year, the profits were 3x = 3(125,000.12) = 375,000.36, or $375,000.36