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GaryK
2 months ago
7

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s

he needs to sell to earn $100.
1.25x + 1.49 = 100

What error did Barbara make in writing the equation?
Mathematics
1 answer:
tester [12.3K]2 months ago
4 0
Her phrasing suggests that she would sell numerous water bottles and just a single iced tea. The accurate equation should be 1.25x + 1.49y = 100, as she may offer varying quantities of both.
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Line QR goes through points Q(0,1) and R(2,7). Which equation represents line QR ?
tester [12383]
(0,1)(2,7)
Calculating the slope (m) gives: (7-1) / (2-0) = 6/2 = 3

The equation is represented as y = mx + b
where the slope (m) equals 3
Utilizing either of your coordinates... (0,1).... this implies x = 0 and y = 1
Substituting to solve for b, the y-intercept
1 = 3(0) + b
which simplifies to 1 = b

Thus, the equation you seek is: y = 3x + 1....or 3x - y = -1
6 0
29 days ago
On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches
Zina [12379]

Answer:

g(x)=6(3)^x

Step-by-step explanation:

We are provided with the information that

f(x)=6(\frac{1}{3})^x

Function f is decreasing as it moves from quadrant 2 to quadrant 1, tending towards y=0

It intersects the y-axis at the point (0,6) and goes through (1,2).

Function g(x) also approaches y=0 in quadrant 2, but increases in quadrant 1.

It passes through (-1,2) and crosses the y-axis at (0,6).

Reflection across y-axis:

The transformation rule is identified as

(x,y)\rightarrow (-x,y)

Applying this rule, we derive

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

Then, by substituting

x^{-a}=\frac{1}{x^a}

for x=-1

g(-1)=6\times (\frac{1}{3})=2

for x=0

g(0)=6

Consequently,g(x)=6(3)^x holds true.

8 0
1 month ago
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A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the pr
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I appreciate the haircut, G?!?!
7 0
1 month ago
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A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle weighs 400 grams. The weig
PIT_PIT [12445]

Answer: The result is M=590-\dfrac{19}{20}V.


Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.

Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.

This means that 190 grams corresponds to 200 milliliters, thus

1~\textup{ ml}=\dfrac{190}{200}~\textup{grams},\\\\\textup{V ml}=\dfrac{19}{20}\textup{V}~\textup{grams}.

The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as

\textup{M}=590-\dfrac{19}{20}\textup{V}.


7 0
1 month ago
The amount of water flowing into a tank doubles every minute. The tank if full in an hour. When is the tank half full.
babunello [11817]
Given that the water in the tank doubles every minute, it implies that when the tank was full, it was half full just one minute prior. If it reaches fullness after 60 minutes, it was indeed double what it was a minute earlier. Hence, the opposite of doubling is halving. A minute before the tank filled completely, it was at half capacity. Therefore, it confirms that it was half full after 59 minutes.
7 0
1 month ago
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