87 i think Step-by-step explanation:
Dr. Stevens mixed 10.357 grams of chemical A, 12.062 grams of chemical B, and 7.506 grams of chemical C to make 5 doses of medicine. a. About how much medicine in grams? Estimate the amount of each by rounding to the nearest tenth of a gram before finding the sum. Show your thinking. b. Find the exact amount of medicine mixed by Dr. Stevens. c. What is the difference between the exact amount and the estimated amount of medicine? d. How many grams are in one dose of medicine? Explain your strategy for solving.
Answer:
A. 29.93 grams
B. 29.925 grams
C. 0.005 grams
D. 5.985 grams per dose
Step-by-step explanation:
Chemical A = 10.357 grams
Chemical B = 12.062 grams
Chemical C = 7.506 grams
Number of doses of drugs = 5
A. About how much medicine in grams
Round each chemical to the nearest tenth
Chemical A = 10.36 grams
Chemical B = 12.06 grams
Chemical C = 7.51 grams
Total medicine in grams = chemical A + chemical B + chemical C
= 10.36 + 12.06 + 7.51
= 29.93 grams
B. Find the exact amount of medicine mixed by Dr. Stevens.
Total medicine in grams = chemical A + chemical B + chemical C
= 10.357 + 12.062 + 7.506
= 29.925 grams
C. What is the difference between the exact amount and the estimated amount of medicine
Difference = Estimated amount - Exact amount
= 29.93 grams - 29.925 grams
= 0.005 grams
D. How many grams are in one dose of medicine?
Grams in a dose = exact amount of chemicals / 5 doses
= 29.925 grams / 5
= 5.985 grams per dose
Approximately 5.99 grams per dose
It takes about 14 person-hours of labor to break up a driveway and clear away the rubble. It takes about 8 person-hours of labor to pour and smooth concrete for the new driveway.
Answer: 22 person-hours
Step-by-step explanation:
It takes 14 hours to break up the driveway and then to clear away the rubble.
Then it takes 8 hours to pour the concrete and smooth it.
Total time it will take to break up a driveway, clear away the rubble, pour the concrete, and smooth the concrete will therefore be;
= 14 + 8
= 22 person-hours
6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a system of equations and solve to find out the cost for each pound of apples and each pound of oranges.
Answer:cost of each pound of apple= $3
And cost of each pound of orange =$2
Step-by-step explanation:
Step 1
Let cost of apples = x
And cost of Oranges =y
Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as
6 x + 3y= 24----- equation 1
Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as
5x+ 4y= 23----- equation 2
Step 2
6 x + 3y= 24----- equation 1
5x+ 4y= 23----- equation 2
Using substitution method to solve the equation
6 x + 3y= 24
24-6x=3y
y= 24-6x/3 = 8-2x
Y= 8-2x
Substituting the value of y= 8-2x into equation 2
5x+ 4( 8-2x)= 23
5x+ 32 -8x= 23
32-23= 8x-5x
9=3x
x=9/3
x=3
Putting the value of x= 3 in equation 1 and solving to find y
6 x + 3y= 24
6(3) +3y= 24
18+3y=24
3y= 24-18
3y=6
y=6/3= 2
Therefore the cost of each pound of apple= $3
And cost of each pound of orange =$2
what is the measure of angle A in the triangle
Plsss help meeee :))
Answer:
i think 6(k)^2 ?
Step-by-step explanation:
What is 15/20 simplest form
Answer:
the simplest form of 15/20 is 3/4
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
yes, phone companies, are only allowed to charge for the amount of data you use
Step-by-step explanation:
What is the quotient of 2/3 divided by 4 in simples form
Answer:
2/12 is equivalent fraction for 2/3 divided by 4
Step-by-step explanation:
2
3
&
4
2
3
÷
4= ?
step 2 Multiply 2/3 with reciprocal of 4
=2
3
x1
4
=2
12
The Quotient is 1/3.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2/3 divided by 4
As, division is not possible in fraction so we will perform the multiplication
= 2/3 ÷ 4
= 2/3 x 1/4
= 2/6
= 1/3
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what is 3(5x-6)+2(x+8)?
A. 13x - 2
B. 13x+2
C. 17x+2
D. 17x-2
PLEASE PROVIDE A EXPLANATION WHY!! (I’m stuck on this question so I’m trying to figure out how to get the answer).
ASAP!
Answer:
I believe it's D. 17x-2
Answer:
D
Step-by-step explanation:
3(5x-6)+2(x+8)
=15x-18+2x+16
=15x+2x-18+16
=17x-2
Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back
Answer: 1,120 frogs
Step-by-step explanation:
If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;
= 180 - 12
= 168 frogs
168 frogs out of every 180 do not have spots. Out of 1,200 that would be;
= 168/180 * 1,200
= 1,120 frogs
PLS HELP im in a timededeedd teststs
Which is the graph of g(x) = ⌈x + 3⌉?
The average number of people who attended football games at a stadium increased from 8,000 people in the year 2005 to 12,500 in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?
56.1% is the average number of people at the games increase from 2005 to 2012
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The average number of people who attended football games at a stadium in 2005 is 8000.
The average number of people who attended football games at a stadium in 2012 is 12500.
The difference from average number of people from 2005 to 2012
12500-8000
Twelve thousand five hundred minus eight thousand
4500
To find the percentage of increase we need to divide change in number by original number
4500/8000
0.561
Now multiply with 100 because it is a hundredth part.
0.561×100=56.1
Hence 56.1% is the average number of people at the games increase from 2005 to 2012
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What is the first step in solving a proportion?
A - Cross multiply
B - Divide
Answer:
a
Step-by-step explanation:
1.cross multiplication
MARK ME BRAINELIST
how many edges does a rectangle have
Rectangle have four edges.
The sum of any two number is 21and the sum of their squares is 261.find the numbers.
Answer:
The two numbers are 6 and 15.
Step-by-step explanation:
[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]
x=6 and x=15
PLEASEEEEEEE HELPPPPPPPP!!
Answer:
Step-by-step explanation:
hi
maybe a few more lol
Answer:
Thanks, check out my music please. Its Colter Wall on yt
Step-by-step explanation:
Answer:
thx for the 50 points
hey guys I really need help and it also asks to give my answer as a decimal!
Answer:
(1,5) is your answer
Step-by-step explanation:
You would have to divide the
2 and 10 by 2 and you would get (1,5)
Hope that help!Have a GREAT day!!
And Brainiest is needed!
How many different ways can you write a ratio?
Answer:
3 different ways
Step-by-step explanation:
Answer:
3 different ways
Step-by-step explanation:
hope this helps
example of the diffrent way to write a ratio :
5 to 10
5 : 10
[tex]\frac{5}{10}[/tex]
What is pm ⋅ pn equal to?
pm − n
pm + n
pm ⋅ n
pm ÷ n
Answer: pm • pn = p(m • n)
Step-by-step explanation:
Which three-dimensional shape is created when the rectangle is rotated around axis r?
Answer: rectangular prism
Step-by-step explanation:
2(3v-5)=2(v-11)-4 can someone help me out ?
Answer:
v = -4
Step-by-step explanation:
2(3v - 5) = 2(v - 11) - 4
6v - 10 = 2v - 22 - 4
+10 +10
6v = 2v -12 - 4
-2v -2v
4v = -16
divide both sides by 4
v = -4
Hope this helps!!
The value of v = - 4.
We have the following equation -
2(3v - 5) = 2(v - 11) - 4
We have to find out the value of the variable v.
What is the solution of a equation in one variable?The solution of an equation is the value of variable for which the left hand side is equal to right hand side.
We have the following equation -
2(3v - 5) = 2(v - 11) - 4
2 x 3v - 2 x 5 = 2v - 2 x 11 - 4
6v - 10 = 2v - 22 - 4
6v - 10 = 2v - 26
6v - 2v = - 26 + 10
4v = -16
v = - 4
Hence, the value of v = - 4.
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help (S.O.S) 10 points
Owen is signing up for a gym membership with a one-time fee to join and then a
monthly fee to remain a member. The one-time fee to join the gym is $100 and the
total cost of membership, including the joining fee, would be $200 for 2 months.
Write an equation for C, in terms of t, representing the total cost of the gym
membership over t months.
The Medina's went out to eat at Chili's. If there bill was 65.20 and they gave 1p
their server a 15% tip, how much did they leave for a tip? *
Answer:
The Medinas left $9.78 for a tip
Step-by-step explanation:
Percentages
The Medinas went out to eat at Chilli's and the bill was $65.20. They tipped 15% to their server.
This percentage is calculated over the amount of the $65.20 bill, thus the tip was:
15% of 65.20 = 15/100 * $65.20 = $9.78.
The Medinas left $9.78 for a tip
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
14.3
Step-by-step explanation:
Remark
Make a rough sketch of the triangle.
Make F the right angle
Make <D = 66
E is the other angle.
Givens
EF = 32
<F = 90
<D = 66
Equation
Tan(D) = EF/FD
Solution
Tan(66) = 32/FD Multiply both sides by FD
FD*Tan(66) = 32
Tan(66) = 2.246
2.246 * FD = 32 Divide by 2.2246
FD = 32/2.246
FD = 14.25
FD = 14.3
Let u = (1,5), v = (-3, 3), and w = (2, 3). What is the direction angle of 4w - (2u + v)?
O= 59.0°
O = 173.7°
O=276.3°
O=353.7°
Answer:
D - 353.7
Step-by-step explanation:
Edge 2020
Answer:
option d
Step-by-step explanation:
edge 2023
PLEASE HELP !!!!!!!!!!!!!!! idk if this is correct or not !!!!!!! WILL MARK BRIANLIEST !!!!
Answer: It should have been correct.
Step-by-step explanation:
HELPP ASAP OR I WILL FAIL PLEASE
Step-by-step explanation:
The given equation is :
[tex]\dfrac{14+10x}{12}=-3[/tex]
Cross multiply,
[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]
This equation will have only one solution.
We can check the solution as follows :
Put x = -5 in LHS of the the given equation.
[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]
= RHS
Hence, this is the required solution.
What is the value of the Square Root of 625?
Answer:
25
Step-by-step explanation:
By prime factorisation, we get:
5 | 625
5 | 125
5 | 25
5 | 5
| 1
. So the prime factors are:
625 = 5 x 5 x 5 x 5
625 = 25 x 25
√625 = 25