Answer:
$30.60
Step-by-step explanation:
What we know:
The bill for Mr. Wilson's diner meal is $25.50.
He gives a 20% tip to the waiter.
To figure out this tip, multiply 1/5 by 25.5.
1/5 * 51/2
51/10 = $5.10 tip.
Here, it's asking for the total, including the $5.10 tip. So, add $5.10 to $25.50 for $30.60 total, including the tip.
(For a simpler method *multiply 6/5 by $25.5)
A dose of 4500mg of medication has ordered for a patient. The medication comes in 5g/0.3mL. What volume will you give the patient?
please show conversions
According to the given statement the volume of medicine will give to the patient = 0.27ml.
What specifically is density?A substance's density is defined as its mass per unit volume. The most common symbol for density is, but the Latin letter D is also an option.
What is the significance of density?Density is an important topic because it tells us which compounds will float and which will sink when placed in some kind of liquid. Substances float in general if their density is smaller than the density of the liquid in which they are immersed.
ρ = m/v
ρ = density
m = mass
V = volume
According to the given information:Medicine = 4500mg
The medication comes in 5g/0.3mL
We know that:
mL = mg / 1000
So,
ml = 4500/1000
= 4.5ml
Formula for finding volume = weight/density
= 4.5/(5/.3)
= (4.5 * 0.3)/5
= 0.27ml
According to the given statement the volume will give to the patient = 0.27ml.
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At the movie theatre, child admission is $5.20 and adult admission is $8.70. On Sunday, 134 tickets were sold for a total sales of $885.80. How many adult
tickets were sold that day?
Number of adult tickets that were sold that day is 54.
Given,
Cost of child ticket = $5.20
Cost of adult ticket = $8.70
Total sales of tickets = $885.80
Let the number of child tickets sold on that day be x
Let the number of adult tickets sold on that day be y
Total number of tickets sold on that day = 134
Using the above data, we can draw relations between the given variables and make two equations. Solving the two equations for the two variables will give the answer.
Eq 1 :
5.20x + 8.70y = 885.80
Eq 2 :
x + y = 134
These two equations can be solved using the elimination method.
Multiply Eq 2 with 8.70.
=> 8.70x + 8.70y = 1165.8 - Eq 3
Substract Eq 3 from Eq1 to eliminate the variable y and find the value of variable x
5.20x + 8.70y = 885.80
- 8.70x - 8.70y = - 1165.8
______________________
- 3.5x + 0 = -280
=> 3.5x = 280
=> x = 80
Substituting the value of x in Eq 2
=> x + y = 134
=> 80 + y = 134
=> y = 134 - 80
=> y = 54
Therefore, we get the number of child tickets and adult tickets sold that day as 80 and 54, respectively.
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A recipe calls for 1 2cup of sugar and 1 2 1 cups of flour. Which of the following is a correct comparison of the sugar and flour in this recipe?
Please need help on this one
Determine which equation below have x = 15 as a solution.
A.
3x = 15
B.
x – 12 = 27
C.
4 + x = 19
D.
x
_
3= 1.5
Answer:
C, 4+x=15
Step-by-step explanation:
since you're trying to find x you need to isolate it, so use the other numbers you have, 19 and 4, subtract 4 from 19, (19-4) to get x=15.
Lees teacher gave her a picture of an angle and asked her to perform a common construction on the figure lee used a compass to draw several arcs on the original angle and a nearby ray as shown in the figure below
i think its angle bisector
i think its.......
i think itssss
carrot
this is a bit confusing for me, can someone explain, or just do it for me to show? Thank you!
Answers:
Row 1: 4 sig digits, 1.705*10^4
Row 2: 5 sig digits, 1.9080*10^-5
Row 3: 300, 1 sig digit
Row 4: 0.00246, 3 sig digits
Solve for y in terms of x. 9x + 3 2 y = 14
Answer:
x=
−32/9y +14/9
Step-by-step explanation:
When isabel began her book selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent a warehouse.
The are of the warehouse is 8100 square feet. Her only requirement is it must be squared. write a function that expresses f(x)
Answer:
x is the sidelength of the square;
f(x) = x^(2)
8100 = x^(2)
90 = x
The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is
54 less than the original number. Find the original number.
Answer:
93
Step-by-step explanation:
Let the digit in tens place be 'x' & digit in ones place be 'y'.
So , the original number = [tex]10x+y[/tex]
According to the question , [tex]x+y=12[/tex]......... .eqn(1)
When digits are interchanged ,
The new number formed = [tex]10y+x[/tex]
According to the question , [tex]10y+x=10x+y-54[/tex] ............ eqn(2)
Solving eqn(2) further ,
[tex]10y+x=10x+y-54\\=>10x-x-10y+y=54\\=>9x-9y=54\\=>9(x-y)=54\\=>x-y=\frac{54}{9}=6.......... eqn(3)[/tex]
Adding eqn(1) and eqn(3) ,
[tex](x+y)+(x-y)=12+6\\=>x+y+x-y=18\\=>2x=18\\=>x=\frac{18}{2} =9[/tex]
Putting the value of x in eqn(1),
[tex]9+y=12\\=>y=12-9=3[/tex]
∴ Original number = 93
The linear regression model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold.
Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth. When they sell 95 ice cream cones, the temperature is approximately _ °F.
Answer:
95.5 °F
Step-by-step explanation:
A linear regression model is used to represent the relationship between two variables in form of a linear equation. A linear regression line equation is in the form Y = a + bX, where X is the independent variable, Y is the dependent variable, b is the slope of the line and a is the Y intercept (the value of y when x = 0).
Given that x represents the temperature (°F) and y represents the number of ice cream cones sold.
We have the equation as y = 1.8x - 76.9.
Given a 95 ice cream cones sold, to find the temperature, we substitute y = 95 and find x:
y = 1.8x - 76.9
95 = 1.8x - 76.9
1.8x = 95 + 76.9
1.8x = 171.9
x= 95.5 °F
When they sell 95 ice cream cones, the temperature is approximately 95.5 °F
Sheila buys two concert tickets from her friend.
She pays $90 for the two tickets. She looks at the
tickets and sees that each ticket has a face value
of $52.50.
a. How much of a markdown did her friend give
Sheila? Explain how you know.
B. What was the perecent markdown, rounded to the nearst whole percent?
Answer:
15 because the 2 tickets were originally 105
Step-by-step explanation:
52.50 x 2 = 105 because 52 + 52 = 104 and .50 + .50 = 1 so 104 + 1 = 105
(1 point) The expression
where n, the leading coefficient, is:
and r, the exponent of a, is: 3
and S, the exponent of b, is: 10
and finally t, the exponent of c, is: 15
(5b¹c-5)-³(4b⁰a²)-5 equals na'bs ct
I
NOTE: The value for n may be given as a fraction or as a just number. All other values must be
Note: You can earn partial credit on this problem.
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Answer:
n = 1/128000r = -10s = -3t = 15Step-by-step explanation:
You want the simplified form of (5b^1c^-5)^-3(4b^0a^2)^-5.
Rules of exponentsThere are several useful rules of exponents here:
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
a^-b = 1/(a^b)
ApplicationSimplifying the top-level exponents first, we have ...
[tex](5b^1c^{-5})^{-3}(4b^0a^2)^{-5}=(5^{-3}b^{1(-3)}c^{(-5)(-3)})(4^{-5}b^{0(-5)}a^{2(-5)})\\\\=(5^{-3}4^{-5})a^{-10}b^{-3+0}c^{15}=\dfrac{1}{5^34^5}a^{-10}b^{-3}c^{15}=\boxed{\dfrac{1}{128000}a^{-10}b^{-3}c^{15}}[/tex]
In terms of answer requirements:
n = 1/128000
r = -10
s = -3
t = 15
Add and subtract the polynomials as indicated. (8a³-2a²-9a+8) + (8a+6) - (-a²-a+4)
Answer:
Sum of 5a
2
−3a+2+(−8a
2
+5a+6)
=5a
2
−3a+2−8a
2
+5a+6
Sum=−3a
2
+2a+8
Subtract a
2
+7a−4
=−3a
2
+2a+8−(a
2
+7a−4)
=−3a
2
+2a+8−a
2
−7a+4
=−4a
2
−5a+12
Use the Binomial Theorem to expand each binomial (2x-1)^6
A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.
What is the constant speed of Fast Freddy?
Answer:
yes this is right that you have have done
Answer:
What is the constant speed of Fast Freddy?: 1/4
What is the constant speed of Speedy Sam? : 1/8
Who ran faster?: Freddy
Step-by-step explanation:
2021 edge
Which equation represents a linear function??
Answer:
the linear function is y=-3^2+1
3) Solve for angle x. Round to the nearest whole number. Write answer in format x = ____ degrees
whats the answer gets brainliest
The radioactive isotope 14C has a half-life of approximately 5715 years. A piece of ancient charcoal contains only 81% as much of the radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal
Answer:
1758 years
Step-by-step explanation:
0.693/t1/2 = 2.303/t log No/N
t1/2 = half life of the C-14
t= time taken
No= amount of radioactive material originally present
N= amount of isotope after time t.
But N= 0.81 No
0.693/5715= 2.303/t log No/0.81No
0.00012 = 0.211/t
t =0.211 /0.00012
t= 1758 years
Select the correct answer.
Which angle is congruent to ∠ASD?
An illustration shows various angles formed at point S on line A D; from left to right, they are: A S B: 45 degrees, B S C: 45 degrees, C S D: 90 degrees, D S E: acute angle, while B S E is a straight angle and A S E is an obtuse angle.
A.
∠DSB
B.
∠ASE
C.
∠CSE
D.
∠ESB
Answer:
Step-by-step explanation:
+0 +1 +2 +3 +4 +5 +6 +8 +9 +： +； +＜ +＝ +＞ +［ +］ +a +b +c +d +e +f +g +h +i +l +m +n +o +p +r +s +t +u +v +w +y +～ +・ ...
AB formed by (-3, 8) and (3, 2) and CD formed by (7.1) and (5, -1). Are these
parallel, perpendicular, or neither?
Answer:
Unknown
Step-by-step explanation:
ajkdfhlkhalukdjglahgfjhgdljhdfjgajdfgaiufgyhj
Marla Opper currently earns $105,000 a year and is offered a job in another city for $122,000. The city she would move to has 11
percent higher living expenses than her current city.
(a) What minimum salary should Marla require before accepting the new position?
Minimum salary required
(b) Should Marla accept the new job?
•Yes
•No
Answer:
determine the area of the square ABCD with AB=5cm and BC=3cm
Find the 6th term of the geometric sequence whose common ratio is
3/2
and whose first term is 2.
Answer:
-3072
Step-by-step explanation:
Franco, Ivanna, and Esther bought school supplies.
Each person spent between $8 and $13.
Franco bought 6 items.
Ivanna bought 3 items.
Esther bought 4 items.
The prices of the items are given below. Drag items to each box to show what each person could have bought.
So I think I had this for Imagine Math, so here is what I got :D;
Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34
Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19
Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17
I really hope this helps :DDDDDDDD
if √7-3√5 = √x-√y, determine the value of x and y where x>y.
Answer:
x = 45
y = 7
Step-by-step explanation:
To obtain the value of x and y, do the following:
√7 – 3√5
Rearrange
– 3√5 + √7
Multiply through by –1
3√5 – √7 ... (1)
Express 3√5 as a single surd
3√5 = √(3 × 3 × 5)
3√5 = √45
Replace 3√5 with √45 in equation 1
3√5 – √7
√45 – √7
Comparing
√45 – √7 and √x – √y i.e
√45 – √7 = √x – √y
x = 45
y = 7
How much fertilizer containing 30% nitrogen should be mixed with a fertilizer containing 10% nitrogen to get 10L of a fertilizer containing 12% nitrogen?
Answer:
1L of 30% fertilizer and 9L of 10% fertilizer
Step-by-step explanation:
Let x = the amount of fertilizer containing 30% nitrogen.
Let y = the amount of fertilizer containing 10% nitrogen
x + y = 10 because the two fertilizers together will be 10L
0.3x will be the amount of nitrogen in the 30% nitrogen fertilizer, and 0.1y will be the amount of nitrogen in the 10% fertilizer. If you add those together, you will get 12% of the nitrogen in the 10L mixture. This makes this equation:
0.3x + 0.1y = 0.12(10)
0.3x + 0.1y = 1.2
Now we have our two equations.
x + y = 10
0.3x + 0.1y = 1.2
We can use substitution to solve this system of equations.
x = 10 - y
Substituting this into the second equation, we have:
0.3(10-y) + 0.1y = 1.2
3 - 0.3y + 0.1y = 1.2
3 - 0.2y = 1.2
1.8 = 0.2y
9 = y
10 - 9 = 1L
There will be 9L of 10% nitrogen fertilizer and 1L of 30% nitrogen fertilizer.
Jim has 3 pairs of pants
and 2 shirts. How many
different ways can he
dress?
Answer:
2 to 5 different ways
Step-by-step explanation:
Answer:
12 different ways he can dress
Step-by-step explanation:
Let The Pant be A and Shirt be B
So, we have 3 pair of pants i.e., 6 Pants
Here, We assumed that the pant be A then 6 pants be
A₁ A₂ A₃ A₄ A₅ A₆
Now, For Shirts
We have 2 Shirts
But we assumed that the Shirt be B then 2 Shirts be
B₁ B₂
Then, We will make pair of A and B
A₁ = B₁
A₂ = B₁
A₃ = B₁
A₄ = B₁
A₅ = B₁
A₆ = B₁
A₁ = B₂
A₂ = B₂
A₃ = B₂
A₄ = B₂
A₅ = B₂
A₆ = B₂
Thus, 12 different ways he can dress
-TheUnknownScientist
The ratio of students wearing sneakers to those wearing boots is 5 to 6. If there are 36 students in the class wearing boots, and all of them are wearing either sneakers or boots, how many of them are wearing sneakers?
Answer:
15
Step-by-step explanation:
For each 11 students, 5 are wearing sneakers, and 6 are wearing boots.If you have 33 students, then you multiply by 3 to find that 15 are wearing sneakers, and 18 are wearing boots hope it helps!
What is the greatest common factor of 12a and 9a2
Answer:
For these types of problems, You must look at the coefficients and variables separately and find the GCF for each. Then, combine the two
First, take 12 and 9
Factors of both
9- 1, 3, 9
12- 1, 2, 3, 4, 6, 12
So the gcf of 12 and 9 is 3
Now do the variables a and a^2
a^2 is just a twice
The GCF is a
Now combine a and 3
Answer: GCF is 3a
Answer:
GCF is 3a
Step-by-step explanation:
I just know LOLLL