Answer:
40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.
Step-by-step explanation:
Given:
A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution.
Now, to find the milliliters of 10% solution and 25% solution to make 20% solution:
Let the 10% solution be [tex]x.[/tex]
And let the 25% solution be [tex]y.[/tex]
So, total milliliters of solution are:
[tex]x+y=120\\\\x=120-y\ \ \ \ .....(1)[/tex]
Now, to get the milliliters of 10% solution and 25% solution to make 20% solution we solve the equation:
[tex]10\%\ of\ x+25\%\ of\ y=20\%\ of\ 120\\\\\frac{10}{100} \times x+\frac{25}{100} \times y=\frac{20}{100} \times 120\\\\0.10x+0.25y=24[/tex]
Substituting the value of [tex]x[/tex] from equation (1) we get:
[tex]0.10(120-y)+0.25y=24\\\\12-0.10y+0.25y=24\\\\12+0.15y=24[/tex]
Subtracting both sides by 12 we get:
[tex]0.15y=12[/tex]
Dividing both sides by 0.15 we get:
[tex]y=80.[/tex]
Thus, the 25% solution is 80 ml.
Now, substituting the value of [tex]y[/tex] in equation (1) we get:
[tex]x=120-y\\\\x=120-80\\\\x=40\ ml.[/tex]
Hence, the 10% solution is 40 ml.
Therefore, 40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.
The following graph represents changes in the real estate market in a given area over a period of 28 years. A graph titled Housing Price Index has years on the x-axis. From 0 to 2, the price is steady; from 2 to 4, increases; from 4 to 6, decreases; from 6 to 8, is steady; from 8 to 10, increases rapidly; from 10 to 20, decreases; from 20 to 28, increases. Using this information, consider the three following real estate investment strategies, and rank them from least to greatest according to how much profit they would likely make in this market, assuming that each of them purchased a house in this area at year 0. I. A house flipper, seeking to sell the house as soon as doing so becomes profitable, sells after 4 years. II. A long-term investor, seeking to hold onto the house for a long time, sells after 23 years. III. A moderate-term investor who will sell the house once it reaches a certain price, sells after 11 years. a. I, II, III b. II, I, III c. III, I, II d. Each of them will make roughly as much profit as the others.
Answer:
B.
II, I, III
Step-by-step explanation:
Just took test on Edge 2021
Answer:
its B. II, I, II
Cai is buying a fruit smoothie from the grocery store and wants the best deal, order the prices from the best to worst deal. (in terms of price)
Answer:
Best Fruit, Smooth and Tasty, True Smooth, Healthy Smoothie
Step-by-step explanation:
#1 =0.101 -Best Fruit
#4 =0.24 -Healthy Smoothie
#2 =0.161 -Smooth and Tasty
#3 =0.164 -True Smooth
To get my answer, I divided the price by the number of ounces for each smoothie. This would give you the price of each ounce.
Hello MAHNAMEISJAMES!
The correct answer is: (see below)
#LearnWithBrainly
https://brainly.com/question/16047910
In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Final answer:
The simplest form of the ratio of apple juice to coconut milk to orange juice given the amounts of 5 ml, 50 ml, and 15 ml respectively is 1:10:3.
Explanation:
To find the simplest form of the ratio of apple juice to coconut milk to orange juice, we will use the quantities provided: 5 ml of apple juice, 50 ml of coconut milk, and 15 ml of orange juice.
First, let's list the quantities in the order requested:
Apple juice: 5 ml
Coconut milk: 50 ml
Orange juice: 15 ml
Next, we will find the greatest common divisor (GCD) that these amounts have in common to simplify the ratio. The GCD for 5, 50, and 15 is 5.
Now, divide each quantity by the GCD:
5 ml apple juice ÷ 5 = 1
50 ml coconut milk ÷ 5 = 10
15 ml orange juice ÷ 5 = 3
So the ratio of apple juice to coconut milk to orange juice in its simplest form is:
1:10:3.
Final answer:
To find the simplest form of the ratio of apple juice to coconut milk to orange juice, divide the volume of each by the greatest common divisor. The result is a simplified ratio of 1:10:3 for apple juice, coconut milk, and orange juice, respectively.
Explanation:
In the given fruit cocktail recipe, we have the following measurements for each of the components: 15 ml of orange juice, 5 ml of apple juice, and 50 ml of coconut milk. To find the ratio of apple juice to coconut milk to orange juice in its simplest form, we will compare the volumes of each ingredient.
First, we will list the volumes of ingredients as a ratio:
Apple Juice : Coconut Milk : Orange Juice
5 ml : 50 ml : 15 ml
To simplify this ratio, we can divide each part by the greatest common divisor of the three numbers, which in this case is 5 ml. So, we get:
(5/5) ml : (50/5) ml : (15/5) ml
1 : 10 : 3
Therefore, the simplest form of the ratio is 1:10:3.
What is the measure of the other angle?
Answer:
126°
Step-by-step explanation:
The total degrees should be 180° so 126+54=180
what is 5/12 divided by 12
Answer:
5/144 is the answer of 5/12 divided by 12.
Step-by-step explanation:
y’all should help on this ASAP
Answer:
The sales are going up higher and sometimes going down.
Step-by-step explanation:
Shelia is biking at a consent speed. She travels 54 meters in 9 seconds
Answer:
[tex]6\frac{meters}{second}[/tex]
Step-by-step explanation:
Step 1: Find the unit rate
[tex]\frac{Total Distance}{Total Time}[/tex]
[tex]\frac{54}{9}[/tex]
[tex]6\frac{meters}{second}[/tex]
Answer: [tex]6\frac{meters}{second}[/tex]
The scatterplot below shows the number of year of experience of 8 different wedding photographers and the number of weddings they photographed over
the last year. Based on the scatterplot, what would be the best prediction of the number of weddings that a photographer with 7 years of experience would
photograph in a year?
Answer: 57
Step-by-step explanation:
Question 1
8 cakes of the same type have a total cost of £13.20
Work out the cost of 12 of these cakes.
(2 marks)
Step-by-step explanation:
Simple
First we have to find out cost of each cake so
Cost of 1 cake = 13.20 ÷ 8 = 1.65
Cost of 12 cakes = 1.65 × 12 = 19.8
Each cake costs £1.65, so the total cost for 12 cakes would be £19.80. So, the cost of 12 cakes would be £19.80.
Explanation:This question requires understanding of ratio and proportion. First, let's find the cost of 1 cake by dividing the total cost (£13.20) by the total number of cakes (8). Here, we get: £13.20 ÷ 8 = £1.65. This means that each cake costs £1.65. After finding the cost of a single cake, we can calculate the cost of 12 cakes by multiplying the cost of one cake (£1.65) by 12. This gives £1.65 × 12 = £19.80. So, the cost of 12 cakes would be £19.80.
Learn more about Proportion here:https://brainly.com/question/32430980
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What mistakes did Cassandra make? check all that apply
Answer: Where are the answers to choose from?
Step-by-step explanation:
Answer:
For the E D G E N U I T Y people
Step-by-step explanation:
hopefully i’ve helped you luv
4-3-2020 pls help before 3:00pm animals which ingest organic materials are classified as a?
5. Megan's lemonade recipe calls for a ratio of
6 lemons to 12 cups of water. What is the
rate for the amount of lemons per cup of
water in Megan's lemonade?
A 1/4 lemon per cup
B 1/2 lemon per cup
C 1 1/2 lemons per cup
D 2 lemons per cup
Answer:
B
Step-by-step explanation:
6 lemons = 12 cups of water
12/12=1
6/12=.5
1/2 lemon=1 cup
6.6.PS-20
Question Help
Alan has read 20% of a book. He has 48 more pages to finish. How many pages are there in the
book?
Answer:
The total number of pages in the book are 60.
Which of the following data could be graphed using a dot plot? Select all that apply.
Time taken to complete a test
Favorite pet
Zip Code
Number of cars in a household
umber of siblings
sumber
Distance de
Distance driven to school
to
School
The data that can be represented using a dot plot include 'Time taken to complete a test', 'Number of cars in a household', and 'Distance driven to school'. These are numerical data that can be categorized and ordered, thus making them suitable for a dot plot.
Explanation:A dot plot is a type of visual representation of data, best suited for data sets with relatively small sizes, and it is typically used for numerical data that can be categorized or grouped. Therefore, to see which of the options can be graphed using a dot plot, we need to select the options with numerical data that can be categorized or ordered.
Time taken to complete a test: This is numerical data that can be ordered, making it suitable for a dot plot.Favorite pet: This is categorical data, making it unsuitable for a dot plot.Zip Code: Although these contain numerical values, they are nominal data and not suitable for a dot plot as they lack a meaningful order.Number of cars in a household: It is numerical and can be categorized, making it suitable for a dot plot.A number of siblings: While this is numerical and can be ordered, it's not clear what 'number' and 'summer' refer to, so it is difficult to definitively say whether this could be graphed with a dot plot.Distance driven to school: This is numerical data that can be ordered, making it suitable for a dot plot.Learn more about dot plots here:https://brainly.com/question/22746300
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solve the emojis please worth 10 points
Answer: 367.1
Step-by-step explanation:
The answer to the missing measure based on the emoji values would be 365
How to find the value ?
To solve this set of emoji-based equations, we can treat each emoji as a variable in a system of equations. Let's assign:
Monkey Face = M
Surprise Face = S
Angry Face = A
3 M = 21
M = 21 / 7
= 7
2 S + 7 = 85
2S = 85 - 7
S = 78 / 2
S = 39
3 A + 39 = 162
3A = 162 - 39
A = 123 / 3
= 41
This means that the final value is:
= ( 2 x 39 ) + ( 41 x 3 )
= 78 + 287
= 365
How do I solve 8-b÷4=5?
Answer:
b = -12
Step-by-step explanation:
to evaluate this expression 8-b÷4=5
mathematically
8-b/4 = 5
using cross multiplication method
4 x 5 = 8 - b
20 = 8-b
collect the like terms
20-8 = -b
12 = -b
divide both sides by minus sign
b = -12
Which of the following is the value of 2x' +5x+9 when x =10?
(3) 160
(1) 259
(2) 1,290
(4) 2,059
Answer:
The correct answer is: 259.
A dentist was making note of his upcoming appointments with different aged patients and the reasons for their visits.
The probability that an appointment is with patients over 60 years old is 0.2, and the probability that it is for a broken tooth is 0.4.
What is the probability that a randomly chosen appointment is with patients over 60 years old or is for a broken tooth if those are independent events?
Answer:
.08
Step-by-step explanation:
40% of 20% is 8%
Final answer:
The probability of a randomly chosen dental appointment being with a patient over 60 years old or for a broken tooth is 0.52, given that the events are independent.
Explanation:
The probability that a randomly chosen appointment is with patients over 60 years old or is for a broken tooth, given that these are independent events, can be found by using the formula for the probability of the union of two independent events: P(A ∪ B) = P(A) + P(B) - P(A ∩ B). Since the events are independent, P(A ∩ B) is equal to P(A) × P(B).
In this case, P(patients over 60) = 0.2, and P(broken tooth) = 0.4. Since they are independent events, the probability of both occurring together is 0.2 × 0.4 = 0.08. Thus, the combined probability is 0.2 + 0.4 - 0.08 = 0.52.
The probability that an appointment is with a patient over 60 years old or for a broken tooth is 0.52, or 52%.
Assume markup is based on cost. Find the dollar markup and selling price for the following problem. (Round your answers to the nearest cent.)
Dollar markup
Selling price
Item
Burberry men's watch
Cost
$490
Markup percent
40%
Answer:
The selling price of the product = $686The markup of the selling price = 28.5 %Step-by-step explanation:
Given that the markup percent is based on the cost of the product.
The cost of Burberry men's watch = $490
Markup percent = 40 %
= 40 % (490) = $196
The new selling price of the product = 196 + 490 = $686
The markup percent of the selling price , (x%)686 = 196
x = 28.5 %
The markup is 28.5 % of the selling price
Final answer:
To calculate the dollar markup on a $490 item with a 40% markup, multiply the cost by 0.40 to get $196. The selling price is then the original cost plus the markup, totaling $686.
Explanation:
To find the dollar markup of a Burberry men's watch that costs $490 with a markup percent of 40%, you first need to convert the percentage to its decimal form by dividing by 100. This gives us 0.40. Next, you multiply the cost by the decimal form of the markup percentage to find the dollar markup.
Calculation:
$490 × 0.40 = $196
To find the selling price, add the dollar markup to the original cost.
Calculation:
$490 + $196 = $686
The dollar markup is $196, and the selling price for the Burberry men's watch is $686, both rounded to the nearest cent.
Amelia orders a special facial cleanser online. The table shows the quantity and cost for several online stores. Which is the BEST VALUE?
Answer:
It is 8 bottles.
Answer:
D) 8 bottles
Step-by-step explanation:
I had this question.
What is the area of this triangle H= 5in B= 10in
Answer:
25
Step-by-step explanation:
Plssssssssss Help ASAP!!!!!!!
Geoville County wants to build a hospital that is equidistant from its three cities L, M, and N. Which construction correctly finds the best location of the hospital?
Construction X because point C is the incenter of ΔLMN
Construction X because point C is the circumcenter of the ΔLMN
Construction Y because point E is the incenter of ΔLMN
Construction Y because point E is the circumcenter of ΔLMN
Answer:
Construction Y because point E is the circumcenter of ΔLMN
Step-by-step explanation:
we know that
The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersects.
In the construction Y the point E represent the circumcenter of triangle LMN
The distances EM, EL and EN are congruent , because represent the radius of the circle.
That means. that the point E is equidistant from the three vertices
In the context of the problem, the hospital (point E) is equidistant from its three cities L, M, and N
A hyperbola is represented using the equation (x-1)^2/4-(y+2)^2/16=1. What are the slopes of the asymptotes?
Answer:
the slope of the asymptotes are: 2 and -2
Step-by-step explanation:
As we know the hyperbola equation is:
[tex]\frac{(x-h)^2}{b^2}-\frac{(y-k)^2}{a^2}=1[/tex]
Given the hyperbola equation:
[tex]\frac{(x-1)^{2} }{4} - \frac{(y+2)^{2} }{16} = 1[/tex]
We have a=2 and b=4, h=1 and k=-2
and the asymptote equation of a translate hyperbola with equation is:
[tex]y=\pm\frac{b}{a}(x-h)+k[/tex]
We substitute this values to get:
[tex]y=\pm\frac{4}{2}(x-1) -2[/tex]
<=> y = 2x -4 or y = -2x
so the slope of the asymptotes are: 2 and -2
Answer:
m=2
b=-4
Step-by-step explanation:
Just did it on edg
what is the volume of a sphere with a radius of 6in.
Answer: 288π in³
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is [tex]v =\frac{4}{3} \pi r^{3}[/tex].
Here, we are given that our sphere has a radius of 6 inches.
So plugging into the formula, we have [tex](\frac{4}{3})(\pi)(6 in.)^{3}[/tex].
Start by simplifying the exponent.
(6 in.)³ is equal to 6 inches · 6 inches · 6 inches or 216 in³.
So we have [tex](\frac{4}{3})(216 in^{3})(\pi)[/tex].
Notice that we can cross cancel 3 and 216 to 1 and 72.
So we have (4)(72in³)(π) which is equal to 288π in³.
So the volume of the sphere is 288π in³.
Determine the intercepts of the line 2x+5y=-5
Y-intercept (_,_)
X-intercept (_,_)
|6m-54|, if m<9 help rsm
Answer:
[tex] |6m - 54| \: > \: 0[/tex]
Step-by-step explanation:
Let
[tex]y = |6m - 54| [/tex]
We can factor 6 to get:
[tex]y = 6 |m - 9| [/tex]
This is the graph an absolute value function that opens upwards.
The vertex is at (0,9)
The range is
[tex]y \geqslant 0[/tex]
For m<9, the graph is always above the x-axis.
Therefore for m<9,
[tex] |6m - 54| \: > \: 0[/tex]
Answer:
|6m-54| ≥ 0
Step-by-step explanation:
Given: m<9 = m is less than 9
Solution:
|6m-54| > 0 is partially right, instead of just a regular sign of >. It should be ≥. Simply the answer is |6m-54| ≥ 0.
[BTW. I go to RSM too.]
how do i find length of surface area
Step-by-step explanation:
Label the length, width, and height of your rectangular prism.
Look at the six faces of the prism.
Find the area of the bottom face.
Find the area of the top face.
Find the area of the front and back faces.
Find the area of the left and right faces.
Add the six areas together.
hope this helps. :)
have a nice day.
Shelbi is drawing plans for a garden, measured in feet, which is shown on the coordinate plane.
напритиране на партнерамент
What is the area of Shelbi's garden in square feet?
21 square feet. 24 square feet 28 square feet 32 square feet
Answer:
32
Step-by-step explanation:
Answer:
D. 32
Step-by-step explanation:
The time, t, in hours, it takes to get to a certain destination varies indirectly as the speed of the car, s. If it takes 3.25 hours at a speed of 72 mph to reach a destination, how many hours will it take to reach the same destination at a speed of 36 mph?
A. 14.625
B. 6.5
C. 13
D. 1.625
Answer:
the answer is D
Step-by-step explanation:
Answer:
B. 6.5
Step-by-step explanation:
If we're going somewhere at half the speed, it will take double the time. 36/72 = 1/2, and 6.5/3.25 = 2.
Chaz needs $4.77 for new batteries. He has $2.80. How much more money does he need?
Answer:
1.97
Step-by-step explanation
2.80 + n=4.77
4.77 - 2.80= 1.97
Answer:
$ 1.97
Step-by-step explanation:
Need = 4.77 - 2.80 = 1.97