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Rudiy27
2 years ago
12

When Ashley left her house in the morning, her cell phone battery was partially charged. Let BB represent the charge remaining i

n Ashley's battery, as a percentage, tt hours since Ashley left her house. A graph of BB is shown below. Write an equation for BB then state the yy-intercept of the graph and determine its interpretation in the context of the problem.
Mathematics
1 answer:
Ray Of Light [21]2 years ago
4 0

Answer =

B= 50-10t

y-intercept of the function is 50 which represents the charge of the battery when Ashley left her house.

Step-by-step explanation:

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Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra
iVinArrow [24]
J = 14h
w = 12h
h = jw65

4 0
2 years ago
Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the
Anastaziya [24]

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys 1\frac{1}{2} pounds of flour, 12 ounces of coconut, and 1\frac{1}{4} pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = \frac{3}{4} pounds

He buys  \frac{3}{4} pounds of coconut.

Adding all of them together yields:

1\frac{1}{2} + \frac{3}{4} + 1\frac{1}{4} = 3\frac{1}{2} pounds

Let us also convert to ounces:

3\frac{1}{2}  / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is 3\frac{1}{2} pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

4 0
2 years ago
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10
Alborosie

Answer:

<em>The probability is 42%</em>

Step-by-step explanation:

<u>Conditional Probability</u>

It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).

If P(A) is the probability of occurrence of A, P(A\cap B) is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:

\displaystyle P(B|A)=\frac{P(A\cap B)}{P(A)}

We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.

The probability that a randomly selected band member plays the trumpet is

\displaystyle P(A)=\frac{24}{125}

The probability that he or she has both attributes is

\displaystyle P(A\cap B)=\frac{10}{125}

Thus, the required conditional probability is

\displaystyle P(B|A)=\frac{\frac{10}{125}}{\frac{24}{125}}

\displaystyle P(B|A)=\frac{10}{24}=\frac{5}{12}=0.42

The probability is 42%

5 0
2 years ago
If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200
12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

1000x = 200

x = \frac{200}{1000}

x = 0.2mg

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

x = 60*0.2

x = 12mg

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

123x = 250*12

x = \frac{250*12}{123}

x = 24.39mL

24.39mL of the solution would be given per hour.

7 0
2 years ago
Which graph represents the hyperbola = 1?
Andrews [41]

Answer:

131

Step-by-step explanation:

We have to find the graph of the hyperbola whose equation is given as:.We know that the general equation of the hyperbola is given by:where the focus of the hyperbola are at the points:(a,0) and (-a,0).Hence, the focus of the given hyperbola are the points:(3,0) and (-3,0).The figure of the hyperbola is attached to the figure.

6 0
2 years ago
Read 2 more answers
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