If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
What is percent concentration?Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.
Thus, If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
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Which of the following fractions is equivalent to 4/20? 2/6 8/16 1/2 3/6 5/10 7/11
Answer:
1/2
Step-by-step explanation:
1. In the end of semester examination, 32% students failed in Economics, Mathematics, 46%in Business, 12% in Economics and Mathematics, 9% Mathematics and Business, 10% in Economics and Business and 3% in all the three. Using Venn diagram, determine, i. Number of students that failed in exactly one course. ii. Number of students that failed in exactly two courses. iii. Number of students who passed in all the three courses. iv. Number of students who failed in at least one course.
(ii) 3% of students failed all three courses, 12% failed economics and mathematics, 9% in math and business, and 10% in econ and business. In other words, the students in these groups failed at least the two mentioned courses. Then 12% - 3% = 9% failed only econ and math but not business; 9% - 3% = 6% failed math and business but not econ; and 10% - 3% = 7% failed econ and business but not math. These groups are mutually exclusive, so the total percentage of students that failed exactly two courses is (ii) 9% + 6% + 7% = 22%.
32% failed econ, which means 32% - 12% - 10% + 3% = 13% failed only econ. Similarly, 46% failed business, so 46% - 9% - 10% + 3% = 30% failed only business. But we don't know how many students failed math, so we can't determine how many failed only math... And consequently we can't determine the proportion of students that make up the other categories.
If triangles ABC and XYZ are similar, what is the length of side b?
Please help! Will give brainliest if the answer is correct
Answer:
18+18√3
Step-by-step explanation:
We know that ,
Perimeter = 2(l + b)On substituting ,
P = 2 ( l + b ) P = 2 ( 2 + 5√3 + 7 + 4√3 ) P = 2 ( 9 + √3(5+4)) P = 2 ( 9 + 9√3) P = 18 + 18√3where is the circumvented of a right isoceles triangle located
Answer:
The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (i.e., the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (i.e. meeting at one point).
Step-by-step explanation:
I hope that helps you and the explanation is in this answer too
Find a point E on CD such that the ratio of CE to CD is [tex]\frac{3}{8}[/tex].
Answer:
Sorry if it’s wrong. But I think the answer is: -3
Step-by-step explanation:
Formula:
E= x1 + a/b (x2 -x1)
E=-9 + 3/8(7+9)
E= -9 + 3/8(16)
E= -9 + 6
E= -3
The location of point E will be at negative 3. Then the correct option is C.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
The information is given below.
CE / CD = 3 / 8
CE / ED = 3 / 5 = m / n
Then the location of the point E will be
x = [3 × (7) + 5 × (-9)] / (3 + 5)
x = (21 - 45) / 8
x = - 24 / 8
x = -3
Thus, the location of point E will be at negative 3. Then the correct option is C.
More about the section of the line link is given below.
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In 3 years Xavier will be 3 times older than Joanne is today. Joanne is 24. How old is Xavier?
Answer: he is currently 69 years old
Step-by-step explanation:
24x3=72-3=69 lol funni number
Answer:
78 years old
Step-by-step explanation:
In 3 years Joanne will be 27. Xavier is 3 times that age by the time Joanne is 27. 27×3=81. but we're looking for Xaviers age today. so we take 81 and subtract 3 which leaves us with 78
Karen paints her house in 10 1/2 days working 7 1/2 hours per day. How long would it take Karen to do the job if she worked 9 hours a day?
Answer:
8. 75 days
Step-by-step explanation:
You work for 10.5 days 7.5 hrs each day painting the house = it takes 78.75 hours to paint the house.
If you work 9 hours a day: 78.75/9 = 8.75 days
If she does the same job for 9 hours. Then the number of days will be 8.75 days.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Karen paints her house in ten and a half days, working seven and a half hours every day.
If she does the same job for 9 hours. Then the number of days is given as,
D x 9 = 10.5 x 7.5
9D = 78.75
D = 78.75 / 9
D = 8.75 days
If she does the same job for 9 hours. Then the number of days will be 8.75 days.
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A square has a side length of 4 centimeters. What is the length of the diagonal of the square? What is the length from the corner to the center of the square?
Answer:
4[tex]\sqrt{2}[/tex] cm AND 2[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
The length of a diagonal of a square means finding the hypotenuse (long side) of a right triangle with legs of the length of the side of the square. This means you can use a^2 + b^2 = c^2 to solve for the diagonal. Plugging in your values gets you 4^2 + 4^2 = c^2, simplify to get 16 + 16 = c^2, simplify further to get 32 = c^2. Isolate c by taking the square root of both sides to get [tex]\sqrt{32}[/tex] = c, which you can simplify by listing out the factors of 32 and finding pairs. 32 = 2 * 2 * 2 * 2 *2 (5 of them), meaning its square root is 4[tex]\sqrt{2}[/tex], which is the length of the diagonal. Don't forget your units! (:
For the second part, remember that the distance between the corner to the center of a square is half the diagonal of the square. You already have the length of that diagonal, so all you have to do is divide it by 2. Do so and you get 2[tex]\sqrt{2}[/tex]. Once again, don't forget your units! (:
If you're required to give decimal estimates, then pop those final answers into a calculator and round to the specified number of decimal places. No one will ask you to calculate irrational square roots, or at least no one should.
Find the slope of a line that passes through points (-1,-5) and (6,9).
Answer:
[tex]{ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \rm{slope = \frac{9 - ( - 5)}{6 - ( - 1)} }} \\ \\ { \rm{slope = \frac{14}{7} }} \\ \\ { \boxed{ \rm{ \: \: slope = 2 \: \: }}}[/tex]
subtract 2 3/4 - 5/16
Answer:
2 7/16
Step-by-step explanation:
2 3/4 - 5/16 → 11/4 - 5/16 (convert 2 3/4 into an improper or top-heavy fraction)
11/4 - 5/16 → 44/16 - 5/16 (multiply 11/4 by 4/4 to make a common denominator)
44/16 - 5/16 = 39/16 (Subtract 44 - 5 = 39)
Simplify (convert back into mixed number)
39/16 = 2 7/16
Hope this helps!
Type SSS, SAS, ASA, SAA, or HL to
describe these triangles.
Answer:
SAS
Step-by-step explanation:
There is one common side (S)
both the triangles have 90° common (A)
Opposite sides are equal which is given (S)
They both are right angled triangles
What is the slope of the line that passes through the points 10, six and nine, five? Write your answer in simplest form
Answer:
y=x-4
Step-by-step explanation:
If you plug in the points into a graph, you can see that the slope is 1.
You can go down one and the left one, eventually you will find the y-intercept at (0,-4)
solve pls brainliest
Answer:
a. 9m/s × 27s = 243m
b. -6°C/3hrs = -2°C/hr
What single decimal multiplier would you use to increase by 15% followed by a 14% increase?
9514 1404 393
Answer:
1.311
Step-by-step explanation:
That multiplier is the product of the multipliers for each of the increases:
(1 +15%)(1 +14%) = 1.15×1.14 = 1.311
What is 6(x+4) 1 hehe
Answer:
2
Step-by-step explanation:
two plus four equals six
2/3 divided by 3/4 simplified
Will give brainliest answer
Answer:
first most option is the answer
Answer:ok A is the correct answer for this test I did this plz trust me give brainpower plz
Step-by-step explanation:
help with#14 please!!!
let's solve for f :
[tex] \dfrac{1}{f} = \dfrac{1}{a} + \dfrac{1}{b} [/tex][tex] \dfrac{1}{f} = \dfrac{b + a}{ab} [/tex]Taking reciprocal of both sides :
[tex]f = \dfrac{ab}{a + b} [/tex]4/8 x 4/8
i want some friends
answer if you like and comment if you want to be my friend
Answer:
i will be ur friend........ with pleasure
Answer:
1/8
Step-by-step explanation:
Have a good
bye bye
Need help with number 7 and eight
Answer:
7 is d
Step-by-step explanation:
8 is b. In 7 all the sum of angles will equals 360 degres
lily cleaned the coin fountain at the mall and found 20 coins consisting of nickels and quarters. Her collection totaled $2.60 . How many quarters did she find
Answer:
10
Step-by-step explanation:
eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.
Does the following system of equations
have one, none, or infinite solutions?
-4x + y = 6
-5x – y = 21
Answer:
Iv'e checked both of them and they have NO solutions so nyour answer is (None)
Step-by-step explanation:
1.
15% of what number is 45?
Answer:
15% of 300 is 45
Answer:
300
Step-by-step explanation:
If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2?
Answer:
13 newtons
Step-by-step explanation:
21 N force will the same object exert if it accelerates at a rate of 7 m/s².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to define force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given:
F = 15N
a= 3 m/s²
Now, Force = mass x acceleration
15 = mass x 3
mass = 5Kg
Now, the acceleration is 7 m/s²
F = m x a
F = 3 x 7
F = 21 N
Hence, the force exerted is 21 N.
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43% of a town has blue eyes, 46% has blonde hair, and 24% has both. What is the probability that a random person picked will have both?
Answer:
24 by 113
Step-by-step explanation:
43 + 46 + 24 = 113
the % of people with both is 24%, thus the answer will be 24 by 113
Hope its correct and helps ya :)
Suppose that $590 is deposited into an account that pays 3.5% compounded quarterly. How long will it
will take for the account to contain at least $800? Round to the nearest year.
Answer: 9 years
Step-by-step explanation:
Let 's use the compound interest formula :
[tex]\rm \displaystyle S=A\left( 1+\frac{N}{100} \right)^{\rm \big r}[/tex]
Where N- the percentage by which we raise the price ; r-years ; A-the original price
In our case
N=3,5% ; r=? ; A=590$
And we know :
[tex]\rm \displaystyle S= 800 \\\\ 590 \left( 1+ \frac{3,5}{100} \right)^{\big {r}}=800 \\\\\\(1,035)^{\big r} = \frac{80}{59}\approx1,355 \\\\\\ r= \log_{1,035}\ 1,355=8,\underline831 \approx9 \ years[/tex]
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
Step-by-step explanation:
8 vehicle.
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000
∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles
∴ 8 vehicles need to be sold by salesperson to get total earning as $4400
Is it fair to give only 5 points for such a big question?
Answer:
No
Step-by-step explanation:
Because you (or whoever asks) shouldn't give only 5 points to such a big question, because whoever answers the question might have worked really hard to answer it while you just gave them only 5 points...its not worth answering of only 5 points. In my opinion at least ♀️
Hope what I said makes sense :)
[tex]\sqrt{108k^{7}q^{8}}[/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
6k^3*q^4√3k