Answer:
369.7 mL of medication
Step-by-step explanation:
How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?
From the above question,
The dosage of the medication =
2.5 tsp 3 times a day
= 2.5 × 3 = 7.5 tsp per day.
Since
1 day = 7.5 tsp
10 days = x tsp
Cross Multiply
x = 10 × 7.5 tsp
x = 75 tsp of medication for 10 days.
Step 2
It is important to note that:
1 tsp = 4.929 mL
75 tsp = x mL
Cross Multiply
x = 75 × 4.929 mL
x = 369.669 mL of medication
Approximately = 369.7 mL of medication
In AABC, what is AB to the nearest tenth?
Answer:
AB = 9.5 units
Step-by-step explanation:
Here, we want to find the measure of AB
To do this, we are going to make use of the sine rule
for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle
Thus, we have it that; in a triangle ABC
a/sin A = b/sin B = c/sin C
using the triangle given;
we need the measure of the angle at C
The sum of angles in a triangle is 180
thus;
C + 93 + 48 = 180
C = 180 - 93 -48
C = 39 degrees
Now, to get the value of AB;
AB/sin 39 = 15/sin 93
AB = (15 * sin 39)/sin 93
AB = 9.5 units
You won the lottery!! You decide to first buy the expensive car you've always loved. There are lots of options. In addition to deciding whether you want an automatic or manual transmission, you have to choose an exterior color from 15 options, an interior color from 12 options, seats that have either a heating or massage option, 4 different types of audio systems, and 5 luxury packages with special extras for your car. If you pick one in each category, how many different car packages are there?
Can SOMEBODYYY please do the maths!!! PLeassssssssssssseeeeeeee
Answer:
see belowStep-by-step explanation:
Question-6:we are given a equation
[tex] \sf \displaystyle \: \log_{4}( - x) + \log_{4}( 6 - x) = 2[/tex]
to solve so
recall logarithm multiplication law:
[tex] \sf \displaystyle \: \log_{4}( - x \times (6 - x)) = 2[/tex]
simplify multiplication:
[tex] \sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = 2[/tex]
remember [tex]\displaystyle \log_{4}(4^2)=2[/tex]
so
[tex] \sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = \log_{4}( {4}^{2} ) [/tex]
cancel out [tex]\log_4[/tex] from both sides:
[tex] \sf \displaystyle \: - 6 x + {x}^{2} = {4}^{2} [/tex]
simplify squares:
[tex] \sf \displaystyle \: - 6 x + {x}^{2} = 16[/tex]
move left hand side expression to right hand side and change its sign:
since we are moving left hand side expression to right hand side there'll be only 0 left in the left hand side
[tex] \sf \displaystyle \: - 6 x + {x}^{2} - 16 = 0[/tex]
rewrite it to standard form i.e ax²+bx+c=0
[tex] \sf \displaystyle \: {x}^{2} - 6x - 16 = 0[/tex]
rewrite -6x as 2x-8x:
[tex] \sf \displaystyle \: {x}^{2} + 2x - 8x - 16 = 0[/tex]
factor out x and 8:
[tex] \sf \displaystyle \: x {(x}^{} + 2) - 8(x + 2) = 0[/tex]
group:
[tex] \sf \displaystyle \: (x - 8){(x}^{} + 2) = 0[/tex]
[tex] \displaystyle \: x = 8 \\ x = - 2 [/tex]
[tex] \therefore \: x = - 2[/tex]
Question-7:move left hand side log to right hand side:
[tex] \displaystyle \: \log(x ) + \log(x - 21) = 2 [/tex]
use mutilation logarithm rule;
[tex] \displaystyle \: \log( {x}^{2} - 21x) = 2 [/tex]
[tex]\log(10^2)=2[/tex] so
[tex] \displaystyle \: \log( {x}^{2} - 21x) = \log({10}^{2} )[/tex]
cancel out log from both sides:
[tex] \displaystyle \: {x}^{2} - 21x = 100[/tex]
make it standard form:
[tex] \displaystyle \: {x}^{2} - 21x - 100= 0[/tex]
factor:
[tex] \displaystyle \: {(x} + 4)(x - 25)= 0[/tex]
so
[tex] \displaystyle \: x = 25[/tex]
Find the mode, median, mean and range for this set of data.
Shoe Size: 10, 10, 5, 11, 7, 11, 8.5, 11, 8.5, 7,9
Select the correct response:
Mode=7, Median=7.5, Mean=7.64, Range=5
Mode=8, Median=8, Mean=7.45, Range=3
Mode=9, Median=8, Mean=8.09, Range=5
Mode=11, Median=9, Mean=8.91, Range=6
Answer:
Mode=11, Median=9, Mean=8.91, Range=6
Step-by-step explanation:
Please help! Write an equation, then solve for x
Answer:
x=30
Step-by-step explanation:
4x+2x+3x +3x=360. .... (angles of the quadrilateral add up to 360)
12x=360
12x/12=360/12
x=30
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Zach wants to buy a suitcase. The sale price is $32. What was the original price?
Submit
Answer: $6.40
Step-by-step explanation: im just way too big brained
Answer:
$40
Step-by-step explanation:
32/(1-.2)=32/.80=40
Find the volume of the cone.
Either enter an exact answer in terms of 7 or use 3.14 for .
6
5
units
Answer:
[tex]V=471\ \text{units}^3[/tex]
Step-by-step explanation:
Given that,
Radius of the cone, r = 5 units
Height of the cone, h = 6 units
We need to find the volume of the cone. The formula for the volume of the cone is given by :
[tex]V=\pi r^2 h[/tex]
Substitute all the values,
[tex]V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3[/tex]
So, the volume of the cone is [tex]471\ \text{units}^3[/tex].
I NEED HELP THIS IS DUE BY THE END OF THE DAY AND ITS 3:03 PLEASE HELPPP
find the equation of the line that passes through ( -2,8) and (5,6)
Answer: the equation is
y=-2/7x +52/7 and the slope is -2/7
Step-by-step explanation:
The product of -2 and a number is at most 10.
Find the possible numbers.
A. n ≥ -5
B. n < -5
C. n ≤ -5
D. n > -5
Answer:
a because 5 or less than 5 equals almost or less than 10
Find the output, yyy, when the input, xxx, is 303030. y = 14-0.5xy=14−0.5xy, equals, 14, minus, 0, point, 5, x y=y=y, equals
Answer:
Output, y = -1 when input, x = 30
Step-by-step explanation:
Given equation:
y = 14 - 0.5x
Where,
y = output
x = input
Find the output, y, when the input, x, is 30
y = 14 - 0.5x
y = 14 - 0.5(30)
y = 14 - 15
y = -1
Therefore,
Output, y = -1 when input, x = 30
Answer:
-1
Step-by-step explanation:
KHAN ACADEMY :)
I CAN FIND AN EXPLANATION IF NEEDED
You pay $5.80 sales tax
for a skateboard in a state
with 7.25% sales tax. Find
the selling price of the
skateboard.
Step-by-step explanation:
5.80×0.725= 4.205
5.80+4.205
= 10 .005
The company Jake uses charges $25 each month and $0.04 for each minute of usage time. Express t and terms of M
HELP I'M FAILING .....
so if you have 300 coins and you take away half how much do you have left
For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
20ml : 6ml: 15ml
Step-by-step explanation:
1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.
In ABC, mC = 30 and a = 8. If the area of the triangle is 12, what is the length of side b?
show work pls
9514 1404 393
Answer:
b = 6
Step-by-step explanation:
The area is given by the formula ...
Area = 1/2·ab·sin(C)
12 = (1/2)(8)b·(1/2) . . . . . fill in the given values
12 = 2b . . . . . . . . . . . simplify
6 = b . . . . . . . . . . . divide by 2
The length of side b is 6 units.
Can you answer the question plss I really don’t get it.
Answer:
the first one is 1 the second one is 28 /5/6
Step-by-step explanation:
trust me bro
Answer:
A= -5.6666 or -17/3
B= 28.8333 or 173/6
Step-by-step explanation:
27.1% of city employees ride the bus to work. This is up 47% from last year. What percent of employees rode the bus to work last year?
Answer:
18.44%
Step-by-step explanation:
Let :
Percentage who rode bus to work last year = x
Percentage who ride bus to work this year = 27.1%
Percentage who ride bus to work this year = [percentage who rode bus to work last year + 47% of percentage who rode bus to work last year]
Mathematically ;
27.1% = x + 47% of x
0.271 = x + (0.47x)
0.271 = x + 0.47x
0.271 = 1.47x
x = 0.271 / 1.47
x = 0.1843537
x = 0.1843537 * 100%
x = 18.435%
x = 18.44%
Describe the horizontal cross section of the triangular pyramid.
A.triangle
B.rectangle
C.trapezoid
D.square
Can someone help me with this. Will Mark brainliest.
Table of height versus width a = , b = , c = , d = , e =
Answer:
a= 6
b= 7
c= 8
d= 7
e= 6
Step-by-step explanation:
The table of height versus width shows that the values represented will be 6, 7, 8, 7, and 6.
How to calculate the values?From the given information, a = 6. Therefore, the value of b will be: = a + 1 = 6 + 1 = 7
The value of c will be:
= a + 2 = 6 + 2 = 8.
The value of d is also the value of b which will be 7. Lastly, the value of e will be 6.
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Please Help-
K + ⅓ = 5 ⅛ | K = ?
Show Your Reasoning.
Answer:
[tex]4\frac{19}{24}[/tex]
Step-by-step explanation:
I hope I did this right:
So first thing to do is set up the equation.
[tex]K + \frac{1}{3} = 5\frac{1}{8}[/tex]
Next thing to to is subtract 1/3 from both sides to get:
[tex]K = 5\frac{1}{8} - \frac{1}{3}[/tex]
Next up, you will multiply each of the fractions by the opposing value
(multiply 1/8 by 3 and 1/3 by 8)
[tex]K = 5\frac{3}{24}[/tex][tex]-\frac{8}{24}[/tex]
Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.
K = [tex]\frac{123}{24}[/tex][tex]-\frac{8}{24}[/tex]
Finally, you subtract 123 over 24 by 8 over 24.
K = [tex]\frac{123}{24} - \frac{8}{24} = \frac{115}{24}[/tex]
Then just simplfy the 115/24 to get
[tex]4\frac{19}{24}[/tex]
In a fruit cocktail, for every 100 ml of orange juice you need 12 ml of apple juice and 8 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answer:
3:2:25
Step-by-step explanation:
ratio=
12:8:100
6:4:50
3:2:25
Length of TV is 12π in. The diameter is?
Answer:
Diameter = 54 units
Step-by-step explanation:
Given:
Angle θ = 80'
Length of arc TV = 12π
Find:
Diameter
Computation:
Length of arc = [θ/360][2πr]
So,
12π = [80/360][2πr]
54 = 2r
r = 27
Diameter = 2r
So,
Diameter = 54 units
Select the margin of error that corresponds to the sample mean that corresponds to each population:
A population mean of 360, a standard deviation of 4, and a margin of error of 2.5%
369
368
367
Answer:
(351.04, 368.96)
range values of 1.96 standard deviation are 352.16 to 367.84
answer is 367
The ratio of boys to girls in Ms. Jefferson's class is 3 to 4. There are 16 girls in the
class.
What is the total number of students in Ms. Jefferson's class?
Answer: 28
Step-by-step explanation:
there are 3 boys for every 4 girls, so 4 times 4 is equal to 16. Now just multiply 3 times 4. 16 + 12 = 28.
(solve for x) x/6 -2 = 13
Answer:
[tex] \bf \huge90[/tex]
Step-by-step explanation:
Given that :x/6 - 2 = 13to find :solve for x explanation :⟼ x/6 - 2 = 13
step 1 : Simplify both sides of the equation.
⟼ x/6 - 2 = 13
⟼ 1/6 x + - 2 = 13
⟼ 1/6 x - 2 = 13
step 2 : add 2 both sides
⟼ 1/6 x - 2 + 2 = 13 + 2
⟼ 1/6 x = 15
step 3 : Multiply both sides by 6.
⟼ 6 × (1/6 x) = (6) × (15)
⟼ 6/6 x = 90
⟼ x = 6/6 × 90
⟼ x = 90.
∴ x = 90.
verification :lets take x = 90.
⟼ (90) / 6 - 2 = 13
⟼ 90/6 - 2 = 13
⟼ 15 - 2 = 13
⟼ 13 = 13.
hence verified ☑️A bag contains 25 kg of flour. A baker used 80% of it to bake bread. How much flour,in kg,remained ?
Answer:
5 kg flour remains
Step-by-step explanation:
80% of the original 25 kg comes to 0.80(25 kg), or 20 kg. We convert 80% to its decimal equivalent, 0.80, to get this result
The amount of flour remaing is then (1.00 - 0.80)(25 kg), or 0.20(25 kg) = 5 kg.
5 kg flour remains.
Answer:
25 - 20 = 5 kg
Steps:
25×80/100 = 25×8/10 = 200/10 = 20 kg
25 - 20 = 5 kg
Math help pls all 4 questions please
Answer:
a)32500
b)0.00604
c)2.4×10^6
d)1.47x10-³
Step-by-step explanation:
plz can i get brainliest:)
The volume is 120.9 in. What is the missing dimension (X)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x = 2.5
Explanation:
5.2 * 9.3 * x = 120.9
120.9 / 5.2 = 9.3 * x
23.25 = 9.3 * x
23.25 / 9.3 = x
x = 2.5
I hope this helped!
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- Zack Slocum
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In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
how many take neither?
Answer: 9
Step-by-step explanation:
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
students who take neither: 35 - 26 = 9.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
now,
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
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