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valentinak56 [21]
3 years ago
8

A car starts a journey with a full tank of gas. The equation y=16 - 0.05x relates the number of gallons of gas, y, left in the t

ank to the number of miles the car has traveled, x.
A. What are the x- and y-intercepts of the graph of this equation?

B. What does x-intercept represent in the context of this problem?

C. What does y-intercept represent in the context of this problem?
Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

A.  The y-intercept is y = −0.05 x + 16 and the x-intercept is x = −20y + 320

B. The x-intercept represents the number of miles the car has traveled.

C. The y-intercept represents the number of gas in gallons.

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Leo has 11/3 cups of sugar. He uses 3/4 cups of sugar in a recipe. How much sugar does Leo have left?
Evgesh-ka [11]
It is 35/21 it shows that is can turn into a mixed number as well
7 0
3 years ago
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
velikii [3]
Check the picture below.

so, the maximum height is reached at the parabola's vertex, where x = how many seconds it took, y = how hight it went.

\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
h = &{{ -16}}t^2&{{ +36}}t&{{ +10}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

\bf \left(-\cfrac{36^2}{2(-16)}~~,~~10-\cfrac{36^2}{4(-16)}  \right)\implies \left( \cfrac{1296}{32}~~,~~10+\cfrac{81}{4} \right)
\\\\\\
\left( \cfrac{81}{2}~~,~~\cfrac{121}{4} \right)\implies \left(\stackrel{\textit{how many seconds}}{40\frac{1}{2}}~~,~~\stackrel{\textit{how many feet up}}{30\frac{1}{4}}  \right)

5 0
3 years ago
What is the value of the x in this equation 6x = 54​
seraphim [82]

Answer:

x = 9

Step-by-step explanation:

6x = 54​

Simple way of solving, all you have to do is isolate the variable "x." To do that, divide the number, 6, by both sides.

6x / 6 = 54 / 6

54 / 6 = 9

Hence,

x = 9

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Un boligrafo cuesta 30 ptas mas que un lapiz. Un muchacho ha comprado 8 boligrafos y 15 lapices. En total le han costado 700 pta
Firdavs [7]

Por un sistema de ecuaciones, tiene-se que:

  • Cada lapiz cuesta 20 ptas.
  • Cada boligrafo cuesta 50 ptas.

-------------------------

  • Considera-se un sistema de ecuaciones, con cada boligrafo custando x y cada lapiz custando y.
  • <u>Boligrafo cuesta 30 mas que un lapiz</u>, o sea, x = 30 + y
  • <u>8 boligrafos y 15 lapices cuesta 700</u>, o sea, 8x + 15y = 700

-------------------------

  • Aplicando el <u>primer ecuación en la segunda, </u>tiene-se el cuesto de cada lapiz:

8x + 15y = 700

8(30 + y) + 15y = 700

240 + 8y + 15y = 700

23y = 460

y = \frac{460}{23}

y = 20

Cada lapiz cuesta 20 ptas.

-------------------------

Por fin, el cuesto de cada boligrafo es dado por:

x = 30 + y = 30 + 20 = 50

Cada boligrafo cuesta 50 ptas.

Un problema similar es dado en brainly.com/question/24637096

4 0
2 years ago
Raul is building a house
evablogger [386]
The given situation above is an example of a geometric sequence with first term equal to three and the common ratio equal to 3. For the second day, Raul used 9 bags of cement. He used 27 bags on the third and 81 on the fourth. To answer the question, add the number of bags from second to fourth day. The answer is equal to 117 bags of cement. 
8 0
3 years ago
Read 2 more answers
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