A client is instructed to take
1 1/2 teaspoons of a cough syrup 3 times a day. How many teaspoons of cough syrup will the client take each day?

Answers

Answer 1
It would be 3/2 x 3/1 which would = 4 1/2
Answer 2
  1.5 * 3 = 4.5 tsp.  ;  or, write as:  " 4[tex] \frac{1}{2}[/tex]  tsp.".
___________________________________________________

Related Questions

Maricella plots two ordered pairs on the grid below.

Answers

(0, -10) is the correct answer, 

Answer:  (0,-10)

Step-by-step explanation:

The equation of a line (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

From the given graph , the line is passing through (6,2) and (8,6) is given by :_

[tex](y-6)=\dfrac{6-2}{8-6}(x-8)\\\\\Rightarrow\ y-6=\dfrca{4}{2}(x-8)\\\\\Rightarrow\ y-6=2(x-8)\\\\\Rightarrow\ y=2(x-8)+6[/tex]

To find the y intercept put x =0 , we get

[tex]y=2(0-8)+6=-16+6=-10[/tex]

Hence, the y-intercept of the graph : (0,-10)

Z varies inversely with the product of x and y. When x=2 and y =4 z=0.5 what is the value of x=4 and y=9

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf \textit{\underline{z} varies inversely with the product of \underline{x} and \underline{y}}\implies z=\cfrac{k}{xy} \\\\\\ \textit{we also know that } \begin{cases} x=2\\ y=4\\ z=0.5 \end{cases}\implies 0.5=\cfrac{k}{(2)(4)}\implies 0.5=\cfrac{k}{8} \\\\\\ 4=k\qquad \qquad \boxed{z=\cfrac{4}{xy}} \\\\\\ \textit{when x = 4 and y = 9, what is \underline{z}?}\qquad z=\cfrac{4}{(4)(9)}[/tex]

You make $0.75 for every newspaper you sell. How many newspapers do you have to sell to buy soccer cleats? (soccer cleats are $36.00)

Write an equation then solve

Answers

Okay here's the equation:
0.75x = 36.00

x is the amount of newspapers you sell. We put it as x because we dont know how much we need to sell to buy soccer cleats, which are $36.00. To solve, we will use inverse operations:
0.75x = 36.00    
0.75x / 0.75 = 36.00 / 0.75
x = 48
You will have to sell 48 newspapers to get the soccer cleats.

The school is 3.65 miles from Tonya’s house and 1.28 miles from Jamall‘s house. How much farther from school is Tonyas house than Jamall‘s house? Explain how you can use a quick picture to solve the problem.

Answers

The answer is 2.37 miles. The possible explanation for this is I can illustrate 3.65 using 3 squares for ones, 6 lines for tenths, and 5 circles for hundredths. I would now then reform 1 tenth as 10 hundredths. Then, I would subtract 8 hundredths from 15 hundredths. Then, I would take away 2 tenths from 5 tenths. Last, I would deduct 1 from 3.

Think of a number, divide it by 5 and then add 27 to the result. The resulting number is half of the original number. What was the original number?

(Answer with work please)

Answers

This Is One Answer, There Are More Then One Answer.



100 / 5 = 20 + 27 = 47 / 2 = 23.5

100 = my number
5 = divide by

100 / 5 = 20
27 = add
20 = results of last answer
Then 20 + 27 = 47
47 = results of last answer
2 = half of
Then 47 / 2 = 23.5


As part of a traffic safety campaign a speed detector was used to record speed in the entrance driveway to the Jefferson High School parking lot. The box and whisker plot shows the results.

HELP ME PLEASE ASAP

Answers

1. The highest speed is 39 mph. 2. 50 percent of the students drove between 15 and 28 mph. 3. A box and whisker plot shows the median speed. 4. 20 is the median speed for this data set. 5. A box and whisker plot is helpful in plotting variations in data and making it easy to read. It is also useful when there are multiple sets of data.

In how many ways can the letters BEACH be rearranged

Answers

I Think you can make 3

Which equation shows how the properties of numbers extend to negative whole numbers by the commutative property of addition?

A) -2 + 4 = 4 + (-2)

B) -2(4) = 4(-2)

C) (-2 + 4) + 3 = -2 + (4+3)

D) -2(4+3) = (-2 x 4) + (-2 x 3)

Please help!

Answers

I think its a and  I'm not quite sure.

Maricella plots two ordered pairs on the grid below.

Answers

The location of the y intercept is found by finding the equation of the line which is y=2x-10, therefore it is (0,-10)

Answer:

B. [tex](0,-10)[/tex]

Step-by-step explanation:

We have been given an image of a line segment on coordinate plane. We are asked to find the y-intercept of line, is the line segment is extended to cross both the axes.

We will find the equation of line in slope-intercept form: [tex]y=mx+b[/tex], where,

m = Slope of line,

b = The y-intercept.

We will find slope of our given line using the coordinates of our given points (6,2) and (8,6).

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{6-2}{8-6}[/tex]

[tex]m=\frac{4}{2}[/tex]

[tex]m=2[/tex]

Now, we will substitute [tex]m=2[/tex] and coordinates of point (8,6) in slope-intercept form of equation.

[tex]6=2*8+b[/tex]

[tex]6=16+b[/tex]

[tex]6-16=16-16+b[/tex]

[tex]-10=b[/tex]

Since y-intercept of our given line is [tex]-10[/tex], which is at [tex]x=0[/tex], therefore, option B is the correct choice.

Which of the following is a situation in which an equation cannot be solved using the quadratic formula? A.) The coefficient of the x^2 term is zero B.) The right hand side of the equation is zero C.) The coefficient of the x term is zero D.) The degree of the polynomial is 2

Answers

Recall that the quadratic formula is
x=(-b+/-sqrt(b^2-4ac)/2a
So the formula cannot be used whenever a=0, in other words, the coefficient of the x^2 term is zero.  All other situations do not render the formula inapplicable.

Final answer:

An equation cannot be solved using the quadratic formula if the coefficient of the [tex]x^{2}[/tex] term is zero, as this makes it a linear equation, not a quadratic. So, option A is correct.

Explanation:

The situation in which an equation cannot be solved using the quadratic formula is when the coefficient of the [tex]x^{2}[/tex] term is zero (A). An equation is only quadratic if it is of the form a[tex]x^{2}[/tex] + bx + c = 0, where 'a' is not equal to zero. If 'a' is zero, the equation is not a quadratic equation but a linear one, and the quadratic formula cannot be applied. The quadratic formula, 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', requires a nonzero 'a' value because the denominator of the formula includes '2a'. If 'a' is zero, the formula would involve division by zero, which is undefined.

Option B is incorrect because having zero on the right-hand side of the equation does not affect the use of the quadratic formula. Likewise, option C is incorrect because the equation can still be quadratic even if the coefficient of the x term ('b') is zero; the equation becomes a pure quadratic equation. Option D suggests the polynomial is already of degree 2, which is the correct type of equation to apply the quadratic formula.

how do you find all possible combinations to pay for 65 cent lemonade. you have 3 quarters, 5 dimes, and 5 nickels

Answers

uarter = 25 cents  Dime = 10 centsNickel = 5 cents  
How to find? You can multiply or add them up until you get 65.But here’s some ways. You have 3 quarters, 5 dimes, and 5 nickels.5 x 5 = 25 10 x 5  = 5025 x 3 = 75One way, Two quarters, a dime, and a nickel.Another way, one quarter, and 4 dimes.I'm pretty sure there's more ways but I don't have time. hope it helped though! :)

Convert the following temperatures from K to °C.

100 K = °C

273 K = °C

6 K = °C

143°C = K

573°C = K

Answers

100K=-173.15C
273K=-0.15C
6K=-267.15C
143C=416.15
573C=846.15K

Formula for C to K  
K = °C + 273.15

Formula for K to C
° C = K - 273.15

we know that

The formula to convert K to C  is equal to

[tex]\° C =\°K - 273.15\°[/tex] --------> equation [tex]1[/tex]

and

The formula to convert C to K  is equal to

[tex]\° K =\°C +273.15\°[/tex] --------> equation [tex]2[/tex]

case a) [tex]100\° K[/tex]

convert to C

substitute in the equation [tex]1[/tex]

[tex]\° C =100\°- 273.15\°=-173.15\°[/tex]

therefore

the answer Part a) is

[tex]\° C =-173.15\°[/tex]

case b) [tex]273\° K[/tex]

convert to C

substitute in the equation [tex]1[/tex]

[tex]\° C =273\°- 273.15\°=-0.15\°[/tex]

therefore

the answer Part b) is

[tex]\° C =-0.15\°[/tex]

case c) [tex]6\° K[/tex]

convert to C

substitute in the equation [tex]1[/tex]

[tex]\° C =6\°- 273.15\°=-267.15\°[/tex]

therefore

the answer Part c) is

[tex]\° C =-267.15\°[/tex]

case d) [tex]143\° C[/tex]

convert to K

substitute in the equation [tex]2[/tex]

[tex]\° K =143\°+ 273.15\°=416.15\°[/tex]

therefore

the answer Part d) is

[tex]\° K =416.15\°[/tex]

case e) [tex]573\° C[/tex]

convert to K

substitute in the equation [tex]2[/tex]

[tex]\° K =573\°+ 273.15\°=846.15\°[/tex]

therefore

the answer Part e) is

[tex]\° K =846.15\°[/tex]

Rectangles ABCD and EFGH are similar. The perimeter of rectangle ABCD is 5 times greater than the perimeter of rectangle EFGH. What is the relationship between the areas of the rectangles?

A. The area of rectangle EFGH is 25 times greater than the area of rectangle ABCD.
B. The area of rectangle EFGH is 5 times greater than the area of rectangle ABCD.
C. The area of rectangle ABCD is 25 times greater than the area of rectangle EFGH.
D. The area of rectangle ABCD is 5 times greater than the area of rectangle EFGH.

Answers

C.  Area of rectangle is A=L X W

If the length is 5 times bigger and the width is 5 times bigger, than the area is 25 times bigger

Answer:

Step-by-step explanation:

Thank you






find the formula for the graph of function f(x) given in the graph above




Answers

This is a sin function since for x = 0, y = 0

The general formula of such functions is:

f(x) = A sin (bx + c) + d, where:
A= period
b = coefficient of x
c= phase shift (horizontal shift)
d= vertical shift

Since there is no vertical shift nor horizontal shift, our function becomes:

f(x) = A. sin(b.x)

In the graph we notice that A=2
Let's calculate b. Remember that the PERIOD = 2π/b, but the period given on the graph is 8π, then:
:
8π = 2π/b → and b= 2π/8π → b= 1/4

Finally the equation is : f(x) = 2.sin(x/4)

The given graph is scaled form of trigonometric function graph.

The formula for the graph function f(x) is given by:

[tex]f(x) = -2sin(\dfrac{x}{4})[/tex]

How to find the formula for f(x) for given graph?

Note down the properties one by one.

Firstly its a periodic function.

Secondly, the maximum value of the function is 2 and minimum value is -2

Thirdly the function assumes maximum or minimum value when it reaches to [tex]2 \pi n; n \in \mathbb Z[/tex]

Fourthly, the graph from the center to right side goes down then up then down then up and so on.

If you've seen graph of sine function, then you'd know that the graph is periodic(repeating same values after some interval), the maximum and minimum values being 1 and -1 and maximum or minimum values are achieved when input is [tex]\dfrac{n\pi}{2}; \: n \in \mathbb{Z}[/tex]

Plus, the graph from center to right goes up then down then up then down and so on.

Transforming sine graph to make the given graph:

First we need down then up instead of up and down. Since down is negative output in its graph and up is positive, thus we will negate the value of sine function.

[tex]-sin(x)[/tex]  will have flipped mountains and valley's in comparison to that of sin(x).

Now since the maximum  and minimum values are needed to be 2 and -2 instead of 1 and -1, thus we will scale the output with factor of 2.

[tex]-2sin(x)[/tex]  will have maximum and minimum as 2 and -2 respectively.

We need the graph to be maximum or minimum at x = [tex]2 \pi n; n \in \mathbb Z[/tex] and not at x =  [tex]\dfrac{n\pi}{2}; \: n \in \mathbb{Z}[/tex]. Thus, we will scale down the input of -2sin(x) so that it treats  [tex]2 \pi n; n \in \mathbb Z[/tex] as if it was given  [tex]\dfrac{n\pi}{2}; \: n \in \mathbb{Z}[/tex].

The scaling needs to be by 1/4 since [tex]\dfrac{1}{4} \times 2\pi n = \dfrac{n\pi}{2}[/tex]

Thus, the resultant function is [tex]-2sin(\dfrac{x}{4})[/tex]

The below plotted graph shows graph of sin(x) (in red) and that of  [tex]-2sin(\dfrac{x}{4})[/tex] (in blue).

Learn more about graph of sine function here:

https://brainly.com/question/2501002

Write the decimal 2.06 as a mixed number.

Answers

2.06 written as a mixed number can be perceived as 2 3/50. 
2 6/100

6          2              3
---     /   ---     =   ------
100     2              50

Answer: 2 3/50
I hope this helps :)

Find the three consecutive integers whose sum is 171

Answers

The answer is 56 57 58

171 / 3 = 57

56 + 57 +58 = 171

 the 3 numbers are 56, 57 & 58

When more than one function has the same name they are called ________ functions?

Answers

Hello There!

When more than one function has the same name they are called overloaded functions.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
They are called overload functions- ability to create multiple functions using the same name. 

Alex wants to start an IRA that will have $1,250,675 in it when he retires in 30 years. How much should he invest semiannually in his IRA to do this if the interest is 4.5% compounded semiannually? Assume an Annuity Due. Round to the nearest cent.

Answers

The formula of the future value of annuity due is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]×(1+r/k)
Fv future value 1250675
PMT semiannual payment?
R interest rate 0.045
K compounded semiannual 2
N time 30 years
Solve the formula for PMT
PMT=Fv÷ [(1+r/k)^(kn)-1)÷(r/k)]×(1+r/k) Plug in the formula
PMT=1,250,675÷((((1+0.045
÷2)^(2×30)−1)÷(0.045÷2))×(1+0.045÷2))
=9,828.44...Answer

Hope it helps!

Answer:

$9828.44

Step-by-step explanation:

The semi annual payment is such that the future value of the annuity due is equal to the desired amount when he retires.

The formula to calculate future value of an annuity due periodic payment of M  for time period T for given periodic return r,

A=[tex]\frac{M(1+r)^{T+1}-(1+r)}{r}[/tex]

in this question there are 30*2= 60 payments and the semi annual rate= 4.5/2= 2.25%

putting values we get

1250675= [tex]\frac{M(1+2.25%)^{60+1}-(1+2.25%)}{2.25%}[/tex]

on solving we get M= $9828.44

Alex needs to invest $9828.44 semiannually in his IRA

What is the equation of this line in standard form? −6x+11y=13 −6x+7y=−17 −6x+11y=−13 −11x+6y=−13 Number graph that ranges from negative five to five on the x and y axes. A line passes through the labeled points begin ordered pair negative four comma negative one end ordered pair and begin ordered pair one and begin fraction one-half end fraction comma, two end ordered pair

Answers

Given that the line passes through the points [tex](-4,\ -1)[/tex] and [tex](1 \frac{1}{2}, \ 2)[/tex]

The equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:

[tex] \frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the required equation is obtained as follows:

[tex]\frac{y-(-1)}{x-(-4)} = \frac{2-(-1)}{( \frac{3}{2}) -(-4)} \\ \\ \Rightarrow \frac{y+1}{x+4} = \frac{2+1}{ \frac{3}{2}+4}= \frac{3}{ \frac{11}{2} }= \frac{6}{11} \\ \\ \Rightarrow 11(y+1)=6(x+4)\\ \\ \Rightarrow 11y+11=6x+24\\ \\ \Rightarrow \bold{-6x+11y=13}[/tex]

Answer:

What is the equation of this line in standard form?

6x−11y=−13

is the answer



bo has 23 video games for sale he plans to donate the money he makes from each sale to a local charity what is the least amount of money in whole dollars bo should charge for each game in order to raise 100$

Answers

4.34782609 is the right answer divide 100 by 23 


Answer: $5

Step-by-step explanation:

Let x be the least charge for each video game.

Given : Total games for sale =23

The required minimum amount needed to raise by selling video games =$100

Then the required inequality:

Total games × x ≥  Required minimum amount

i.e. [tex]23x\geq100[/tex]

Divide 23 from both sides , we get

[tex]x\geq 4.34782608696\approx5[/tex]

Hence, Bo should Charge $5 for each game in order to raise 100$.

Find the exact circumference of a circle with an area equal to 36 sq. in.


1) 12
2) 18
3) 324

Answers

Answer:

The answer would be option 1) 12

Answer:

The circumference is [tex]C=12\sqrt{\pi }\:in[/tex].

Step-by-step explanation:

The area of a circle when we know the circumference is

[tex]A=\frac{C^2}{4\pi }[/tex]

We know the area [tex]A=36 \:{in^2}[/tex], we plug this value into the above equation and we solve for C the circumference.

[tex]36=\frac{C^2}{4\pi }\\\frac{C^2}{4\pi }=36\\\frac{C^2\cdot \:4\pi }{4\pi }=36\cdot \:4\pi \\\\C^2=144\pi \\C=\sqrt{144\pi }\\C=12\sqrt{\pi }[/tex]

The circumference is [tex]C=12\sqrt{\pi }\:in[/tex].

Which of the following best describes the square root property of equality

Answers

if they have two quantities that are equal to the same things, then they would be equal to each others.

If f(x) = f(x)g(x), where f and g have derivatives of all orders, show that f'' = f ''g + 2f 'g' + fg''.

Answers

Differentiating once, we have

[tex]f'(x)=f'(x)g(x)+f(x)g'(x)[/tex]

Differentiating again,

[tex]f''(x)=f''(x)g(x)+f'(x)g'(x)+f'(x)g'(x)+f(x)g''(x)[/tex]
[tex]f''(x)=f''(x)g(x)+2f'(x)g'(x)+f(x)g''(x)[/tex]

as needed.

I don't understand how 251/4 divided by (-3/8)= -502/3

Answers

I must assume you meant 251 / 4 (not 25 1/4).

251
-----
  4
====
   -3
-------
     8

can be evaluated by inverting the second fraction and multiplying the result:

251       -8
-----  * -----
   8        3

The 8s cancel, leaving us with -251/3.  Note that -248/3 = -83, so that the magnitue of -251/3 must be a little larger than -83.  

251 divided by 3 is 83 with a remainder of 2:  251/3 = 83 2/3

So -251/3 = -83 2/3 (answer)

Using the PEMDAS rule, the correct result is -502/3.

We have,

Using the order of operations (PEMDAS) and simplifying the fractions, we have:

251/4 ÷ (-3/8)

= 251/4 × (-8/3) (since dividing by a fraction is the same as multiplying by its reciprocal)

= -502/3

Therefore,

The correct result is -502/3.

Learn more about PEMDAS here:

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A student solved the problem below by first dividing 20 by 10. What mistake did the student make? A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?

Answers

Answer:


Step-by-step explanation: The student divided the number of wins by the number of losses.

The student should have divided the number of wins by the total number of games.

The student should have first added 20 and 10 to find that there were a total of 30 games.



Answer:

SAMPLE RESPONSE: The student divided the number of wins by the number of losses, instead of dividing the number of wins by the total number of games. The student should have divided 20 by 30.

Step-by-step explanation:

other answer: The student divided the number of wins by the number of losses.

The student should have divided the number of wins by the total number of games.

The student should have first added 20 and 10 to find that there were a total of 30 games.

Action movies make up 85% of Devon’s movie collection. If he has 20 movies, how many action movies are in Devon’s collection ? Explain your reasoning to classmate

Answers

Simplu convert 85% by skipping to decimal points, making it .85

Multiply 20 and .85.

20 x .85 = 17

17 action movies are in Devon's collection.
Action movies make up 85% of Devon's collection. His collection consists of 20 movies. Therefore, 85% of 20 movies are action movies.

85% of 20....turn ur percent to a decimal..." of " means multiply
0.85(20) = 17.....so Devon has 17 action movies <=

The Soup Shack usually makes tomato soup with 9 tomatoes for every 12 cups of soup. Today, they made 8 cups of soup with 6 tomatoes. How does today's soup compare to the usual recipe?

Answers

Answer:  We compare today's soup to the usual recipe by using "Unitary Method".

Step-by-step explanation:

Since we have given that

The Soup Shack makes tomato soup with 9 tomatoes for every 12 cups of soup.

For every 12 cups of soup , 9 tomatoes is needed

For every 1 cup of soup , the number of tomato is needed is given by

[tex]\frac{9}{12}=\frac{3}{4}[/tex]

Today, they made 8 cups of soup with 6 tomatoes ,

For 8 cups, 6 tomatoes are used .

For 1 cup, number of tomato is used is given by

[tex]\frac{6}{8}=\frac{3}{4}[/tex]

So, we can see that both the soup has same quantity .

∴ We compare today's soup to the usual recipe by using "Unitary Method".

Heather drove at a constant rate. She traveled miles in 3 hours. How far did Heather travel in 1 hour?

Answers

Ok, to solve this, say she drove x miles in three hours, then her constant speed is x/3. So, she travels x/3 miles per hour.
Hope this helps

The distance travelled for 1 hours will be h / 3 miles

She travels at a constant rate. Therefore, the speed is the same for any journey or distance covered.

Speedspeed = distance / time

If she travels h miles in 3 hours the rate will be as follows;

rate = h / 3 miles per hour

Therefore, if she travels 1 hour at the same rate , the distance travel can be computed as follows;

h  / 3 = d / 1

Therefore,

cross multiply

h = 3d

d = h / 3

The distance travelled for 1 hours will be h / 3 miles

learn more on rate here: https://brainly.com/question/30722

If a flower is 6.5 cm wide, its width expressed in millimeters is x mm, where x is

Answers

X=65 mm hope this helps.

A unit of measure is the actual unit in which the associated values are measured.  If a flower is 6.5 cm wide, its width expressed in millimeters is 65 mm,

What is Unit of Measurement?

A Unit of measure is the actual unit in which the associated values are measured.

Unit of Measurement is used as a standard for measurement of the same kind of quantity. The weight is measured in kilograms, grams. The kilogram is unit of mass. litres is the unit of measuring liquids and length is measured in different units, feet, inches, meters, kilometers, centimeters.

We know that 1 centimeter = 10 milli meters.

So if a flower is 6.5 cm wide, its width expressed in millimeters is x mm

We need to find the value of x.

6.5 cm = 6.5×10

=65

So 6.5 cm in millimeters is 65 mm.

Hence if a flower is 6.5 cm wide, its width expressed in millimeters is 65mm.

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A chicken soup recipe calls for 15 cups of chicken stock. How much is this in quarts?

Answers

15 cups would be 3.75 quarts
Other Questions
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