Shelby is a certified medical assistant at a local hospital. She is responsible for monitoring the
amount of medicine in a patient's blood every hour. She takes the patient's blood and measures
150 mg of medicine 2 hours after it was administered. Later she measures 60 mg of medicine
14 hours after it was administered. Write an equation that models this situation. How many
hours would it take for the medicine to be completely out of the patient's system?

Answer:

15

Step-by-step explanation:

Distribute where possible

10v + 30 - 4v -6v -6 -9

Combine like terms and do the math

15

Answer: The first 3 answers from the top

Step-by-step explanation:

The number of cups of chocolate chips she should use is 3 cups.

Consider a cookie recipe in which 1½ cups of chocolate chips are needed to make 25 cookies.

She decided to double the number of cookies.

Therefore,

Remember she wants to double the size of cookies,

25 cookies =  1½ cups of chocolate chips

2(25 cookies) = ?

cross multiply

number of cups of chocolate chips required = 50 × 1.5 / 25

number of cups of chocolate chips required = 75 / 25

number of cups of chocolate chips required = 3 cups

Therefore, the number of cups of chocolate chips she should use is 3 cups.

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Answer:

C. 25%

Step-by-step explanation:

if you add 4 4 times, you get 16, and .25 equals 1/4.

Hope this helps!

Answer:

25%

Step-by-step explanation:

4/16 = 0.25 = 25%

Answer:

The girls ran 8 laps in one hour, for the boys it is 48:6

Step-by-step explanation:

The girls ran 4 laps in 30 minutes so per hour is was be 8 laps because 4x2. So on the paper it would be 4x2=8

For the boys it would be 8x6 which is 48 dollars in one hour and 6 laps per hour so it would be 48:6 so just put 8x6=48 and it should work.

The time takes Ben to walk to the library is 80 minutes.

Given that, Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would walk to school 3 miles away.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken Ben to walk to the school be x, so the time taken to walk to the library be x+20.

Now, 4 : x+20 :: 3 : x

⇒4x=3(x+20)

⇒4x=3x+60

⇒x=60

So, x+20=80

Therefore, the time taken by Ben to walk to the library is 80 minutes.

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The Line t || Line v the  value of angle m∠5  is 69.28° .

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Line t || Line v

m∠5 =5x + 45

m∠7 = 12x - 11,

According to given question we have

Line t || Line v

Using the property of interior angles on same sides we get

m∠5 =m∠7

5x + 45=12x - 11

compare like terms we get

45-11=12x-5x

34=7x

x=34/7°

By put the value of x

m∠5 =5x + 45

m∠5 =5*34/7+45

m∠5 =485/7=69.28°

m∠7 =12x - 11=12*34/7-11

m∠7 =331/7°

m∠7 =47.28°

Therefore, the Line t || Line v the  value of angle m∠5  is 69.28° .

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With an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

Two numbers with HCF 6 can be:

6a, 6b where a, b are coprime numbers a, b > 1 as numbers greater than 6.

As a result, a and b can be 2 or 5.

The numbers are 6 × 2 and 6 × 5.

Therefore, with an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

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f(x) = -2x² + 8x - 8 by computing f(-1) + f(1) we get -20 and we don't need to calculate f(1) - f(1) it will be 0.

A function can be thought of as an output for the given inputs.

According to the given question f(x) = -2x² + 8x - 8 we have to compute

A. f(-1) + f(1) = { -2(-1)² + 8(-1) - 8 } + { -2(1) + 8(1) - 8 }.

f(-1) + f(1) = { (-2 - 8 - 8) + (- 2 + 8 - 8) }

f(-1) + f(1) = - 18 - 2.

f(-1) + f(1) = - 20.

B.  f(1)-f(1) = 0 ( we don't need to calculate )

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we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Let the cost of number of movies be x and the cost of number of video games be y.

So, the equations are:

5 x + 3 y = 39

2 x + 12 y = 75

2 x = 75 - 12 y

x = 75/2 - 6 y

Put it in the first one, we get that:

5 ( 75/2 - 6y) + 3y = 39

375/2 - 30 y + 3 y = 39

27 y = 187.5 - 39

27 y = 148.5

y = 148.5 / 27

y = $ 5.5

x = 75/2 - 6 y

x = 37.5 - 6 (5.5)

x = 37.5 - 33

x = $ 4.5

Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

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Answer:

the respuesta is 54

Step-by-step explanation:

are not

Answer:

Geometric sequence with a common ratio of 1/3

Step-by-step explanation:

Each term is 1/3 of the previous term:
First term is : 162
Second term: 162 x 1/3 = 162/3 = 54
Third term : 54 x 1/3 = 54/3 = 18

and so on

The ratio of a term to its previous term is therefore 1/3 and this is called a common ration

This kind of sequence where each term is a multiple (1/3) of the previous term is called a geometric sequence

The products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345

The partial product is given as

240

Express 240 as a product of its factors

So, we have

240 =  1 * 240

240 =  2 * 120

240 =  3 * 80

240 =  4 * 60

240 =  5 * 48

240 =  6 * 40

240 =  9 * 30

Next, we test the options

3 x 3,388

Express all values other than the ten-place value as 0

3 x 0080

Evaluate the product

3 x 0080  = 240

8 x 2,612

Express all values other than the ten-place value as 0

8 x 0010

Evaluate the product

8 x 0010 = 80

4 x 5,376

Express all values other than the ten-place value as 0

4 x 0070

Evaluate the product

4 x 0070 = 280

6 x 4,345

Express all values other than the ten-place value as 0

6 x 0040

Evaluate the product

6 x 0040 = 240

3 x 6,828

Express all values other than the ten-place value as 0

3 x 0020

Evaluate the product

3 x 0020 = 60

Hence, the products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345

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keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ I = (300)(0.15)(\frac{3}{2})\implies I=67.5[/tex]

The volcano is growing larger by 1 cm/year.

In order to determine if the volcano is growing or wearing down, determine the cm that the volcano wears down each year. To do this, we would be dividing the total cm the volcano wears down by the number of years.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The cm the volcano wears down each year = 20 cm / 5 = 4cm

10 / 2 = 5cm

5cm - 4cm = 1 cm

This means that the volcano is growing at 1 cm per year.

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Answer: [C] P = 5000T + 93,000

Step-by-step explanation:

Answer:

3 heartbeats

Step-by-step explanation:

The cat's heartbeats are 45 per 15 seconds.
To find out how many heartbeats it does per second (instead of 15), we should divide this amount by 15.

[tex]\frac{45}{15} \to 3[/tex]

Answer:

Step-by-step explanation:

45beats/15sec = 3beats/sec

Answer:

The Answer is D

Step-by-step explanation:

you just have to look for the letter that's giving you it not subtracting it. And look for the right amount.

Answer:

x = 3

y = 15

Step-by-step explanation:

Carlos pays monthly for his cable bill $67.15

For over 5 months Carlos wrote a total of 5 checks for $335.75 to make payment for his cable TV service.

The same amount is paid for the cable bill every month.

Therefore the amount paid every month can be calculated as follows

= 335.75/5

= 67.15

Hence the amount paid monthly for the cable bill is $67.15

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Answer:

19 7/20 feet

Step-by-step explanation:

1. [tex]2\frac{5}{8}[/tex] pieces of wood

[tex]2\frac{5}{8} * 6 = 15\frac{3}{4}[/tex]

2. [tex]1\frac{1}{5}[/tex] pieces of wood

[tex]1\frac{1}{5} * 3 = 3\frac{3}{5}[/tex]

3. Combined

[tex]15\frac{3}{5} +3\frac{3}{5} = 19\frac{7}{20}[/tex]

Answer:

33124

Step-by-step explanation:

please rate as brainliest

The value of the numbers x and y is a 3 and 25.

According to the statement

We have to find that the value of the numbers.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

One number is seven more than six times another number. If the sum of the numbers is 28.

Then

Let The first number = y

The second number = x

Hence, y = (7 + 6x)

Their sum is therefore;

x + 7 + 6x = 28

7x = 21

x = 3

Hence, the second number is a; 7 + 6x = 7 + 6(3);

y = 25.

So, The value of the numbers x and y is a 3 and 25.

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Answer:

horizontal line isywgwueve

Answer:

310

Step-by-step explanation:

189+122=311

(311 rounded to the nearest ten is 310.)

The coordinates of the new vertices of the rectangle are P''(x, y) = (- 1, - 4), Q''(x, y) = (- 6, - 4), R''(x, y) = (- 6, - 1) and S''(x, y) = (- 1, - 1).

In this question we find the coordinates of the four vertices of the rectangle, whose locations are described in the statement. Each point must be transformed by the following sequence of rigid transformations:

If we know that P(x, y) = (1, 4), Q(x, y) = (6, 4), R(x, y) = (6, 1) and S(x, y) = (1, 1), then the locations of the images of the four vertices are:

P'(x, y) = (1, 4) + (0, - 8)

P'(x, y) = (1, - 4)

P''(x, y) = (1, - 4) + (- 2, 0)

P''(x, y) = (- 1, - 4)

Q'(x, y) = (6, 4) + (0, - 8)

Q'(x, y) = (6, - 4)

Q''(x, y) = (6, - 4) + (- 12, 0)

Q''(x, y) = (- 6, - 4)

R'(x, y) = (6, 1) + (0, - 2)

R'(x, y) = (6, - 1)

R''(x, y) = (6, - 1) + (- 12, 0)

R''(x, y) = (- 6, - 1)

S'(x, y) = (1, 1) + (0, - 2)

S'(x, y) = (1, - 1)

S''(x, y) = (1, - 1) + (- 2, 0)

S''(x, y) = (- 1, - 1)

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Answer:

this is called as ascending order, it is when numbers are arranged from least to greatest

here is the answer:

ivan:0.58

pete:0.537

kat:0.4996

Step-by-step explanation:

so you have to look at the nmbers and how many digits they have for example,

ivan's number has 3 digits so its the least

kat has 5 digits so its the greatest

Answer: x=-7, y=0

Step-by-step explanation:

You can see just by the set up that the x values cancel each other out without you having to do anything(-2x+2x=0). Because of this, you can add the two equations to eliminate the x values.

-2x+8y = 14

2x+8y= -14    -------->   16y=0

When you isolate the variable, you get y=0. Now you can choose one of the original equations and substitute 0 into the y value.

-2x+8y = 14 ---> -2x+8(0) = 14 ----> -2x+0 = 14 ---> -2x=14

When you divide both sides by -2, you get x=-7.

Answer:

2,736

Step-by-step explanation:

hope this helps! :)

Answer:

159.25

Step-by-step explanation:

you just have to multiply 13 by 12.25