Answer:
153.1ml
Step-by-step explanation:
We have 12.5ml of acid in the solution.
If we want this to be 3% then we can divide this value by 3 and times by 100 to get the total value.
416.6ml total solution amount
415.6-12.5-250=153.1
A blueprint shows the master bedroom to be 5 inches long and 3 inches wide. The scale on the blueprint is 2 inches : 11 feet. What is the area (in sq ft) of the actual bedroom?
Answer:
The area of the bedroom actually is 453.75 sq ft.
Step-by-step explanation:
Given that,
A blueprint shows the master bedroom to be 5 inches long and 3 inches wide.
The scale on blueprint is 2 inches : 11 feet.
It means 2 inches = 11 feet.
Then,
1 inches [tex]=\frac{11}{2}[/tex] feet = 5.5 feet.
So,
The length of the bedroom is 5 inches = (5×5.5) feet=27.5 feet
The wide of the bedroom is 3 inches = (3×5.5) feet= 16.5 feet
The area of the bedroom actually is = length × wide
=(27.5×16.5) square ft
=453.75 square ft
Final answer:
To find the area of the actual bedroom, you need to use the scale provided on the blueprint. By setting up ratios and solving for the actual length and width, you can find that the area of the actual bedroom is 453.75 square feet.
Explanation:
To find the area of the actual bedroom, we need to use the scale provided on the blueprint. The scale states that 2 inches on the blueprint represents 11 feet in reality. So, we can set up a ratio to find the actual length and width of the master bedroom:
Length ratio: 2 inches ∩ 11 feet = 5 inches ∩ x feet
Width ratio: 2 inches ∩ 11 feet = 3 inches ∩ y feet
By cross-multiplying and solving for x and y, we can find that x = 27.5 feet and y = 16.5 feet. Therefore, the actual length of the bedroom is 27.5 feet and the actual width is 16.5 feet. To find the area, we simply multiply the length and width: Area = 27.5 feet × 16.5 feet = 453.75 square feet.
Which of the following equations could describe a square pyramid? Select all that apply.
A. 3Vh=B
B. V=1/3 lwB
C. w= 3V/lh
D. V/B=h/3
E. V=w^2h/3
F. 1/3= VBh
C. w= 3V/lh
D. V/B=h/3
E. V=w^2h/3
The equation that can describe a square pyramid include:
w = 3v/lhv/b= h/3v = w²h/3What is a square pyramid?It should be noted that a square pyramid simply means a pyramid that has a square base.
The equations that could describe a square pyramid include w = 3v/lh, v/b = h/3, and v = w²h/3. When the top is above the center of the square, it's a right square pyramid.
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Write the number five thousand and twelve in figure
Answer:
5012
Step-by-step explanation:
Five thousand: 5000
Twelve: 12
Five thousand twelve: 5000 +12 = 5012
_____
Comment on "and"
I was taught to reserve the use of "and" for indicating a decimal point. For example, "five thousand and twelve hundredths" = 5000.12
Final answer:
The number five thousand and twelve is written in numerical form as 5012, with 'five thousand' representing 5000 and 'twelve' adding 12.
Explanation:
The number five thousand and twelve written in numerical form is 5012.
When converting numbers from word form to figure form, it is essential to identify the value of each word in the context of place value. In this case:
'Five thousand' indicates 5 times 1000, which gives us 5000.'And' typically means that we are moving on to the next part of the number which in this case is 'twelve,' so we simply add 12 to the previously calculated value.Thus, combining those two values brings us to the total figure of 5012.
What is the volume of this contaniner
Answer: 4ft too the 2 power
Step-by-step explanation:
Answer:
2
Step-by-step explanat
True or false?You can represent the distance of an object underground using negative numbers.
Answer: True
Step-by-step explanation:
If you draw a vertical number line, the numbers in it will infinitely extend in both directions (up and down), having the zero 0 as the neutral number (the origin).
Then, the numbers that are above the origin are the positive integers and represent the distance of an object above zero, while the numbers below the origin are the negative integers and represent perfectly the distance of an object underground (below the origin).
The statement is true, negative numbers can be used to represent the distance of an object below a reference point, such as underground relative to the surface.
True or false? You can represent the distance of an object underground using negative numbers.
The statement is true. In mathematics, especially when dealing with physical situations like displacements and positions, using negative numbers to indicate direction is a common practice. We often choose a frame of reference and a positive direction at the beginning of a problem. In this context, for example, if we define the surface of the ground as our reference point and the direction away from the center of the Earth (upwards) as positive, then it would take sense to use negative numbers to represent the distance of an object that is located underground, indicating it is below the reference point.
what is the inerquartile range of 29, 30, 28, 32, 28, 31, 27
Your family is traveling to Mexico on vacation. You have saved 500 to spend. If with Mexican pesos is equivalent to $25 how much money will you get when you exchange $500 for Mexican pesos?
Answer: 20 pesos.
Step-by-step explanation: Your basically dividing 500 by 25. Hope this was helpful. :)
Answer:
20 ₱ (Pesos)
Step-by-step explanation:
$500 to Mexican Pesos
$25 = ₱1
25*4*5 = 1*4*5
$500 = 20 ₱
Cool Tees is having a Back to School sale where all t-shirts are discounted by 15%. Joshua wants to buy
five shirts: one costs $9.99, two cost $11.99 each, and two others cost $21.00 each.
a. What is the total cost of the shirts including the discount? b.By law, sales tax is calculated on the discounted price of the shirts. Would the total cost of the shirts
including the 6.5% sales tax be greater if the tax was applied before a 15% discount is taken, rather
than after a 15% discount is taken? Explain. c. Joshua remembered he had a coupon in his pocket that would take an additional 30% off the price
of the shirts. Calculate the new total cost of the shirts including the sales tax.
d.
If the price of each shirt is 120% of the wholesale price, write an equation and find the wholesale
price for a $21 shirt.
Answer:
a. total cost including discount = 64.47
b. sales would be greater if tax was added before
Step--step explanation:
The total cost of the shirts including the discount is $64.57 and total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The cost of one shirt after a 15% discount is $9.99 - ($9.99 x 0.15) = $8.49.
The cost of two shirts costing $11.99 each after a 15% discount
2 x ($11.99 - ($11.99 x 0.15)) = $20.38.
The cost of two shirts costing $21.00 each after a 15% discount
2 x ($21.00 - ($21.00 x 0.15)) = $35.70.
Therefore, the total cost of the shirts including the discount
$8.49 + $20.38 + $35.70
= $64.57.
If the tax is applied before the discount, then the taxable amount would be the original price of the shirts, which is $9.99 + (2 x $11.99) + (2 x $21.00) = $84.97.
The tax on this amount at 6.5% would be $5.52.
After the 15% discount, the total cost of the shirts would be $64.57, which includes the $5.52 tax.
Therefore, the total cost of the shirts after the discount and tax
$59.05 + $5.52 = $64.57.
The total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.
Hence, the total cost of the shirts including the discount is $64.57 and total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.
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Lillian says that 25% of a number will always be less than 75% of any other number.
Complete one inequality to support Lillian's claim and one to show that she is incorrect.
CLEAR CHECK
Support
25% of
< 75% of
Refute
25% of
> 75% of
Answer:
(a)25% of 100 < 75% of 100
(b)25% of -100 > 75% of -100
Step-by-step explanation:
If Lillian says that 25% of a number will always be less than 75% of any other number.
We are required to complete two inequality one of which supports and the other refutes the statement.
Support
Let our number be 100
25% of 100 < 75% of 100
25<100
This is true.
Refute
Let our number be -100
25% of -100 > 75% of -100
-25>-100
Therefore, for negative numbers, the inequality will not be true as:
-25>-100.
I'll MARK AS BRAINLIEST!! PLZ HELP!! I GIVE 25 POINTS!!
graph: y= -1/4x+6
Answer:
Straight line joining (0,6) and (24,0)
Step-by-step explanation:
y = (-1/4)x + 6
Make a straight line passing through:
y = 0 + 6 = 6
(0,6)
And
0 = (-1/4)X + 6
-6 = -x/4
x = 24
(24,0)
sorry honey but i dot have a graph to you how but
all you do is start at 6 positive and then mark a point one down and 4 to left and mark other point and then draw a line through it
There are (713)3⋅ 70 strawberries in a field. What is the total number of strawberries in the field?
Answer:
149,730 strawberries
Step-by-step explanation:
Answer:
149,730 strawberries
Step-by-step explanation:
Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply
Answer:
The domain is the set of inputs, the range is the set of outputs
The true statements are options (A) f(x) has a domain of all real numbers, and (C) g(x) has a domain of all real numbers.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
A. True: The function f(x) = (4)ˣ has a domain of all real numbers, as exponentiation is defined for any real number exponent.
B. False: The function g(x) = (4)⁻ˣ has a range of y ≥ 0, since exponentiation with negative exponent results in a positive number for any real number x.
C. True: The function g(x) = (4)⁻ˣ has a domain of all real numbers, as exponentiation is defined for any real number exponent.
D. False: The function h(x) = -(4)ˣ has a range of y ≤ 0, since exponentiation with positive exponent results in a positive number for any real number x, and multiplying it by -1 results in a negative number.
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The question seems to be incomplete, the complete question would be as:
Consider the three functions: f(x) = (4)ˣ, g(x) = (4)⁻ˣ, and h(x) = –(4)ˣ
Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply.
A. f(x) has a domain of all real numbers.
B. g(x) has a range of y < 0.
C. g(x) has a domain of all real numbers.
D. h(x) has a domain of x > 0.
Use the distributive property
Answer:
20x + 12y -21
Step-by-step explanation:
Do the operation and put in the another side.
Answer:
4(5x+3y-7) = [20x] + [12y] + [- 28]
Step-by-step explanation:
4(5x+3y-7)
1) Distribute the 4 to each term in the parenthesis.
4(5x) + 4(3y) + 4(-7)
2) Multiply.
20x + 12y - 28 ← Final Answer
ladders can be extremely dangerous if not used correctly. a 20 ft. extension ladder is played on a wall making and angle 85° with the ground. if a person at top of the ladder leaned back, rotating the ladder away from the wall, how far to the nearest foot would the person fall before he hit the ground?
Answer: Approximately 33 feet
Step-by-step explanation: Please refer to the attched diagram.
The 20ft ladder is placed on the wall at an agle of 85° with the ground.
If the person on the ladder were to lean back and fall to the ground (rotating the ladder away from the wall), then the distance he would have covered before he hits the ground is depicted by the arc as shown in the diagram. The ladder upon touching the ground would remain the same, which is 20 feet. So what the question requires is the length of the arc made during the fall, and the length of the ladder both on the wall an on the floor would be the radius (20 ft) while the angle subtended by the arc is 95° ( angles on a straight line equals 180, that is 85 + 95 = 180)
Therefore the length of an arc is given as;
Length of arc = (∅/360) x 2πr
Where ∅ = 95 and r = 95
Length of arc = (95/360) x 2 x 3.14 x 20
Length of arc = (19/72) x 125.6
Length of arc = 2386.4/72
Length of arc = 33.1444
Length of arc ≈ 33 feet (To the nearest foot)
The person on the ladder would have travelled approximately 33 feet before he/she hits the ground.
The person falls a distance of approximately 19.924 feet.
In this question, we must determine the vertical distance travelled by the person ([tex]y[/tex]), in feet. Let consider that the ladder is set between a horizontal ground and a vertical wall.
Then, the vertical distance is determined by the following trigonometric expression:
[tex]y = l\cdot \sin\theta[/tex] (1)
Where:
[tex]l[/tex] - Ladder length, in feet[tex]\theta[/tex] - Ladder angle with the ground, in sexagesimal degreesIf we know that [tex]l = 20\,ft[/tex] and [tex]\theta = 85^{\circ}[/tex], then the vertical distance travalled by the person:
[tex]y = (20\,ft)\cdot \sin 85^{\circ}[/tex]
[tex]y \approx 19.924\,ft[/tex]
The person falls a distance of approximately 19.924 feet.
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It costs $11.50 to rent a canoe and $5.50 to use the canoe for an hour. You have $28. Write an equation that represents the number $h$ of hours you can rent the canoe.
Answer:
the equation would be
28÷(11.50+5.50)
hope this helps :)
Answer:
28=5.50h+11.50
Step-by-step explanation:
Solve each equation and check.show all work
Answer:
p= 8
Step-by-step explanation:
1/2 p = 4
p = 2(4)
Answer:
p=8
Step-by-step explanation:
This will ake the problem 8/2 which is the same as 4.
Thus, 8 is your answer.
Leave 5 stars if this helped.
What is the solution to the following equation 4x+3y-z=-6
7. A rock is thrown with a height equation of h=-1612 20t 5 (where h is the height of the rock in feet at any given time of t in seconds). Will it reach a height of 30 feet? Explain your answer
Answer:
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Step-by-step explanation:
Given;
The height equation of the rock;
h = -16t^2 +20t +5
To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;
dh/dt = 0
dh/dt = -32t +20 = 0
At Maximum height.
t = 20/32
We then substitute into the height equation.
h(max) = -16(20/32)^2 + 20(20/32) +5
h(max) = 11.25 ft
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Answer:
There are no real solution to the equation [tex]h = -16t^2 +20t +5[/tex] when h = 35 ft.
Step-by-step explanation:
Here we have the equation for the height of the rock in ft given as
[tex]h = -16t^2 +20t +5[/tex]
For the rock to reach 30 ft we must have
[tex]30 = -16t^2 +20t +5[/tex]
That is [tex]0 = -16t^2 +20t +5 - 30 = -16t^2 +20t -25[/tex]
[tex]0 = -16t^2 +20t -25[/tex] or
[tex]16t^2 -20t +25 = 0[/tex]
From which it is observed that since the root of the equation is given by the quadratic formula
b² should be greater than 4·a·c however
(-20)²[tex]\ngeqslant[/tex] (4×16×25)
Hence the equation has only imaginary roots.
What is the combined weight of all the kittens? Weight of kittens: 1/4 pound: 2 kittens. 3/8 pound: 3 kittens. 1/2 pound: 3 kittens. 5/8 pound: 3 kittens
the average of wieght od the kittens in the slether?
DIRECTIONS: Use this information to answer Parts A and B. Scientists measure temperature in degrees Celcius and in kelvin. A temperature in kelvin is 237.15 greater than the temperature in degrees Celcius. Question 1 Part A What is an equation that relates the temperature K, in kelvin, to the temperature C, in degrees Celsius?
The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.
K as the temperature in Kelvin,
C as the temperature in Celsius.
We're given that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. So, we can express this relationship as an equation:
[tex]\[ K = C + 237.15 \][/tex]
This equation shows that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature. Similarly, to convert from Kelvin to Celsius, you subtract 237.15.
Here's the equation:
[tex]\[ K = C + 237.15 \][/tex]
1. **Definition of Kelvin and Celsius Scales**:
- Kelvin (K): Kelvin is an absolute temperature scale where 0 Kelvin represents absolute zero, the lowest possible temperature where particles cease to move. One Kelvin is equal in magnitude to one degree Celsius.
- Celsius (C): Celsius is a temperature scale based on the freezing and boiling points of water, where 0 degrees Celsius represents the freezing point of water and 100 degrees Celsius represents the boiling point of water at standard atmospheric pressure
2. **Relationship between Kelvin and Celsius**:
- To convert from Celsius to Kelvin, you add 273.15 to the Celsius temperature. This adjustment is made because the Kelvin scale starts from absolute zero, which is -273.15 degrees Celsius.
3. **Given Relationship**:
- The given information states that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. This means that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature.
- We can express this relationship mathematically as [tex]\( K = C + 237.15 \).[/tex]
- Here, [tex]\( K \)[/tex] represents the temperature in Kelvin, and [tex]\( C \)[/tex]represents the temperature in degrees Celsius.
- Adding 237.15 to the Celsius temperature converts it to Kelvin.
- The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.
Which one is bigger 25 mm or 3 cm
Answer:
3 cm
Step-by-step explanation:
3 cm converted to mm would be 30 mm which is bigger than 25 mm
The numbers of dots in the four triangular arrays form a sequence...
Answer:
B
Step-by-step explanation:
A contractor had $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each. What is the greatest number of hammers the contractor can buy with the money he has remaining?
Answer:
4 hammers
Step-by-step explanation:
Please refer to the attached image for explanations
Solve the equation
x-5=36-7(x+7)
Answer: x = -1
Step-by-step explanation:
1) x - 5 = 36 -7x -49
2) x - 5 = -13 -7x
3) x + 7x =- 13 +5
4) 8x =- 8
5) x = -1
Please mark this as the brainliest answer! :) I hope this helped! <3
there are 2 piles of paper on a desk. each pile has the same number of papers. there are 12 people in all on the desk. how many papers are in each pile?
Answer:
6
Step-by-step explanation:
for 12 papers?
12 is the total amount
2 is the amount of piles
12 divided by 2 is 6.
there are 6 papers in each pile
Final answer:
To find out the number of papers in each pile, divide the dozen papers by the two piles, resulting in 6 papers per pile.
Explanation:
The question asks about dividing papers into two piles with an equal number of papers in each pile. Since it mentions there are 12 papers in total on the desk, we know that the number 12 represents a dozen, which is a common grouping for small objects to make counting and handling more efficient. To find out how many papers are in each pile, we simply divide the total number of papers by the number of piles. There are 2 piles on the desk, so we would perform the following calculation:
Determine the total number of papers: 12 (a dozen).Divide the total number of papers by the number of piles: 12 papers ÷ 2 piles = 6 papers per pile.Therefore, each pile contains 6 papers.
help with properties of rhombus,rectangles and squares
Answer:
<1 : 36 degrees
<2 : 90 degrees
<3 : 36 degrees
<4 : 54 degrees
Step-by-step explanation:
First off, rhombus's have right angles formed at the middle, meaning that <2 is 90 degrees. Then, it's given that angle is 54 degrees, and its alternate interior angle is the one that is adjacent to <3. To find <1, add 90 and 54, and subtract that from 180. So <1 is 36 degrees. So that automatically makes < 3, 36 degrees and < 4, 54 degrees.
An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with length 16m, width 10m, and depth 5m. Suppose water is pumped into the pool at a rate of 40m3 per hour. How many hours does it take to fill the empty pool?
Answer:
it will take 20hrs to fill the pool
Answer:
It would take 20 hours to fill the pool.
Step-by-step explanation:
We are give the Dimensions of the Pool. Recall that Volume of a Rectangular Prism is V = l*w*h which will return 800[tex]m^{3}[/tex]. Using Dimensional Analysis and recalling that the rate is being pumped at a rate of [tex]\frac{40m^{3}}{h}[/tex], [tex]\frac{m^{3} }{\frac{m^{3}}{h} } = h[/tex] so, just divide the Volume by the Rate given since they are under the same units: [tex]\frac{16*10*5}{40} = \frac{800}{40} = 20 hours[/tex].
The number of trees in a forest follows the logistic growth function , where t is the time in years. According to the growth model, how many trees will there be after 50 years? A. 14,285 b. 18,092 c. 20,874 d. 21,386
Answer:
D. 21,386
Step-by-step explanation:
The question is incomplete. Here is the complete question.
"The number of trees in a forest follows the logistic growth function,
f(t) = 32000/1+12.8e^-0.065t where t is the time in years. According to the growth model, how many trees will there be after 50 years?"
Given the logistics growth function,
f(t) = 32000/1+12.8e^-0.065t
To calculate the number of trees that will be there after 50years, we will substitute the value of t = 50 into the function
f(50) = 32000/1+12.8e^-0.065(50)
f(50) = 32000/1+0.496
f(50) = 32000/1.496
f(50) = 21,385.94
f(50) = 21,386
Number of trees that will be there after 50years is 21,386years
The 24 colleges of interest to a high school senior include 8 that are expensive (tuition more than $20,000 per year), 8 that are far from home (more than 200 miles away), and 5 that are both expensive and far from home.
A. If the student decides to select a college that is not expensive and within 200 miles of home, how many selections are possible?
B. If the student decides to attend a college that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home, how many selections of two colleges are possible?
For part A, the student has 13 colleges to choose from that are not expensive and near home. For part B, the total possible selections of two colleges is 156, considering the student won't attend the same college before and after the transfer.
Explanation:The subject of this question pertains to probability and set theory, a branch of mathematics. We use the principle of inclusion and exclusion to solve the problem.
For part A. there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are far from home which means 24 - 8 = 16 are near. But remember, there are 5 colleges that are both expensive and far, hence these 5 colleges got subtracted twice. So, we need to add them back. The number of colleges that are not expensive and near home are 16 + 16 + 5 = 37. However, this goes beyond the total number of colleges, so we subtract 24 from it to get the correct count of 13.
For part B, the number of ways before transferring are the same as in part A, 13. The number of ways after transferring, there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are near which means 24 - 8 = 16 are far. Adding the count of not expensive and far gets us 16 + 16 = 32. Subtract the total number of colleges to get the correct figure 32 - 24 = 8. Nothing the student can't attend the same college before and after the transfer, so the count of total selections is 13 choices for the first selection multiplied by 12 choices for the second selection, getting us a total of 156 possible selections.
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How do I solve this ???
Answer:
6
Step-by-step explanation:
area is base times height so 3 times 2 is 6
Hello there!
The area of the purple rectangle is 6 m^2, because 3x2 is 6, and the area of the green one is 24 m^2. Add them together to get the total area:
24 + 6 = 30 m^2
:)