Answer:
x+6=y and 3x=12
Step-by-step explanation:
Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:
x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:
3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)
So our statements/equations are:
x+6=y and
3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)
The scale model of a statue is 1 inch to 11.2 feet. If the model is 5.8 inches, what is the length, in feet, of the actual statue?
The length of the actual statue in feet would be = 64.96 ft
What is scale model?A scale model is defined as the the exact type of an object but with a different measurement.
The scale model of a statue = 1 In = 11.2 ft
The length of the model = 5.8 inches
Therefore it length in feet = X ft
That is; 1 in = 11.2 ft
5.8 in = X ft
make X ft the subject of formula;
X ft = 5.8 × 11.2 = 64.96 ft
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Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?
The question is incomplete. The complete question is :
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere. A sphere with height h and radius r. A cylinder with height h and radius r. Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?
Solution :
Amie should have multiplied 54 by two-thirds.
Given that sphere and the cylinder have the same radius as well as same height. The volume of the cylinder is 54 inch cube.
Volume of the sphere = [tex]$\frac{4}{3}\pi r^3$[/tex] .......... (i)
Volume of cylinder = [tex]$\pi r^2h$[/tex] ....................(ii)
Therefore, the ratio of sphere volume to cylinder volume is,
[tex]$\frac{4}{3}\pi r^3 : \pi r^2 h$[/tex] ......(iii)
Divide both the sides by [tex]$\pi r^2$[/tex] , we get
[tex]$\frac{4}{3} \ r : h$[/tex] ..........(iv)
We know that the height of the sphere = diameter of the sphere
The diameter of the sphere is D = 2r
Also the sphere height = cylinder height
So, the height of the cylinder = 2r
Therefore, substituting the height of the cylinder as 2r that is represented as h in equation (iv) is given by :
[tex]$\frac{4}{3} \ r : 2r$[/tex] .............(v)
Now dividing both the sides by 2r, we get
[tex]$\frac{2}{3} : 1$[/tex] ..................(vi)
Thus for equation (vi), we see, sphere volume = [tex]$\frac{2}{3}$[/tex] of the cylinder volume
∴ sphere volume = [tex]$\frac{2}{3}\times 54$[/tex]
= 36 meter cube
Thus, Amie should have multiplied 54 by [tex]$2/3$[/tex] .
The points (14, –3) and (–10, –3) fall on a particular line. What is its equation in slope-intercept form?
y = -3
Step-by-step explanation:Slope intercept form is y = mx + c.
"m" is the slope and "c" is the y-interecept.
The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.
This means y = 0x + c
You can substitute 14 for y and -3 for x from the first point to get:
-3 = 0(14) + c
-3 = c
y = 0x + -3
Which is the equation of the line in slope-intercept form.
This is the same as saying y = -3, as for every x value, y will always be -3.
SOMEBODY PLEASE HELP ME BY GIVING ME ANSWERS AND EXPLANATIONS. I NEED YOUR HELP AS SOON AS POSSIBLE OR I AM GOING TO GET BAD GRADES!
Answer:
here you go
Step-by-step explanation:
8)10
9)3
10)increase
11) decrease
12)increase
13)constant
At a benefit concert, fifteen bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?
On solving the provided question, we can say that - he need 56 answers he need to get correct if he want a grade of 80 percent on a test with 70 questions
what is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.
Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56 Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.
So, the maximum number of questions you may omit is 14. As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.
20% of 70
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Annie round $280. 05$ to the nearet hundred. Bobby round $280. 05$ to the nearet ten. Ciro round $280. 05$ to the nearet integer. Denie round $280. 05$ to the nearet tenth. What i the um of Annie' anwer, Bobby' anwer, Ciro' anwer, and Denie' anwer?
The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.
What is rounding off the numbers?A number is simplified when it is rounded off, preserving its value while moving it closer to the next number. It is done for whole numbers as well as decimals at various places of hundreds, tens, tenths, etc.
If the number following the decimal is between 0 and 4, a number may be rounded off to its lowest value. If the number after it is between 5 and 9, the number will be rounded off to a greater value.
Annie rounds $ 280.05 to the nearest hundred
$ 280.05 will be equal to $ 300
Bobby rounds $ 280.05 to the nearest ten
$ 280.05 will be equal to = $ 280
Ciro rounds $ 280.05 to the nearest integer
$ 280.05 will be equal to = $ 280
Denise rounds $ 280.05 to the nearest tenth
$ 280.05 will be equal to = $ 280.1
Then, the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer = $ 300 + $ 280 + $ 280 + $ 280.1 = $ 1140.1
Therefore,
The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.
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What is the area of the red region?
Answer:
Exact: A = (3.28 + 8π) cm²
Approximate: A = 57.13 cm²
Step-by-step explanation:
The right part of the red figure is a rectangle which is half of the square.
The left half of the red figure is a semicircle.
A = LW + ½πr²
A = (4 cm)(8 cm) + ½(π)(4 cm)²
A = (32 + 8π) cm² (exact)
A = 57.13 cm² (approximate)
find f(k-1) when f(x)=5x^2+3x-6
please help its urgent!
Answer: 5k^2-7k-4
Step-by-step explanation: substitute (k-1) in for the x's
5(k-1)^2+3(k-1)-6
(k-1) * (k-1) = k^2-2k-1
5(k^2-2k-1) = 5k^2-10k+ 5
then do 3(k-1)-6
3k-3-6 (combine like terms)
3k-9
5k^2-10k+5 +3k-9 (combine like terms again)
5k^2-7k-4
hope this helps (^_^)
what is the speed of a car that is traveling 150 miles in 3 hours? Show your work
Answer:
[tex]speed = \frac{distance}{time} \\ speed = \frac{150}{3} \\ = 50 \: miles \: per \: hour[/tex]
3)I NEED HELP FAST
Beth cuts a green apple into 6 slices. She ate 5 slices and gave 1 slice to her sister,
Eva. What fraction of the apple did Eva receive?
Answer:
uhhh ima guess 1/2
Step-by-step explanation:
because 6-5 is 1 and 1 is 1/2 in fractions ig
413.33 The 3 in the hundredths place is _____ times the value of the 3 in the tenths place.
Answer:
The value of the 3 in the tenths place is 10 times the value in the hundredths place
Step-by-step explanation:
Ok
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
B.
hope this helps
have a good day :)
Step-by-step explanation:
PLEASE HELP ME WITH PROBLEM C
1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 feet per year.
a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.
Y=3/4x+3
b) What does the y-intercept represent in your equation
Y=3. 3 stands for feet tall
c) Determine the height of the tree in 3 years.
a) To write an equation in slope-intercept form to represent the growth of the Magnolia trees over time, we can use the formula y = mx + b, where x represents the number of years, y represents the height of the tree in feet, m represents the slope (or rate of growth) of the tree, and b represents the y-intercept (or the height of the tree at x = 0).
In this case, the slope (m) of the tree is 3/4 feet per year and the y-intercept (b) is 3 feet, as the trees are initially 3 feet tall when they are purchased. Plugging these values into the formula gives us:
y = (3/4)x + 3
This equation represents the growth of the Magnolia trees over time.
b) The y-intercept of an equation in slope-intercept form represents the value of y when x is equal to 0. In this case, the y-intercept of the equation y = (3/4)x + 3 is 3 feet. This means that when x is equal to 0 (when no years have passed), the height of the tree is 3 feet.
c) To determine the height of the tree in 3 years, we can substitute 3 for x in the equation y = (3/4)x + 3 and solve for y. This gives us:
y = (3/4)(3) + 3
= 9/4 + 3
= 21/4
= 5.25 feet
Therefore, the height of the tree in 3 years is approximately 5.25 feet.
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours
Over the course of the three hours, 41.25 gallons of water passed through the pipe in total.
We know that the rate of flow for the first hour was 50% slower than the rate of flow for the second hour. So, if the rate of flow in the second hour was 15 gallons per hour, the rate of flow in the first hour would be:
15 gallons/hour * (100% - 50%) = 15 gallons/hour * 50% = 7.5 gallons/hour
We also know that 25% more water flowed through the pipe in the third hour than in the second. So the rate of flow in the third hour would be:
15 gallons/hour * (1 + 25%) = 15 gallons/hour * 1.25 = 18.75 gallons/hour
To find the total number of gallons of water that flowed through the pipe during the entire three hours, we can multiply the rate of flow for each hour by the number of hours:
First hour: 7.5 gallons/hour * 1 hour = 7.5 gallons
Second hour: 15 gallons/hour * 1 hour = 15 gallons
Third hour: 18.75 gallons/hour * 1 hour = 18.75 gallons
Adding these values we can find the total amount of water that flowed through the pipe during the entire three hours
7.5 gallons + 15 gallons + 18.75 gallons = 41.25 gallons
So, in total 41.25 gallons of water flowed through the pipe during the entire three hours.
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Find the measure of ∠d. PLEASE HELP
Answer:
107
Step-by-step explanation:
3x + 16 + 5x - 4 = 180 (Being linear pair)
8x + 12 = 180
8x = 180 - 12
8x = 168
x = 21
3x + 16 = 3 * 21 + 16 = 79
< C = 79 ( being corresponding angles)
< d + < c = 180 ( being linear pair)
< d = 180 - 79
< d = 107
Hope it will Help :)❤
A 2 3/4inch candle burns down in 11 hours. At what rate does the candle A burn, in inches per hour?
Answer:
0.25 in/h
Step-by-step explanation:
1. change 2 3/4 t0 2.75
2. 2.75/11= 0.25
I need help ASAP plsss
Answer:
a) B
b) C
Step-by-step explanation:
I’m doing homework and this may be easy for others but I’m not that good at learning quickly. Take ur time it’s fine. Please help
the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.
Check the picture below.
to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table
[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]
The product of 15 and a number has a result in 15 what is the number
1
Step-by-step explanation:To find an unknown number we can use properties of equality.
Algebraic Method
Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.
We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.
To find x, divide both sides by 15.
x = 1Identity Property of Multiplication
Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:
a * 1 = aThis means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.
Graph the following system of inequalities
Answer:
dbhfjdbbfnfkdnnslskdkdlpxskndndmxlxnd
Step-by-step explanation:
dbndndkekdldpdkdelskndnflspdldnnenwoqpcnnspshkdhfbeodbsogbsobdjdbjwiwjbfjdongnfffdadw
Which transformation on triangle XYZ results in a triangle that is similar, but not congruent, to triangle XYZ?
A. a translation 3 units to the right
B. a reflection across the line y = - 2x + 3
C. a rotation 90° clockwise around the origin
D. a dilation centered at the origin with a scale factor of
Answer: Choice D
Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.
Answer:
D.
Step-by-step explanation:
Congruent means that the triangles are exactly the same in shape and size.
Dilating the triangle is the only answer that will change its size.
5. A rock is dropped off of a bridge that is 50 feet above a river. How long will it take the rock to hit the
water? (Hint: remember, the initial velocity is zero),
Help me with this plz guys ur my only hope
Pi = 3.14
Diameter (d) = 86 cm
•°• Radius (r) = 86 ÷ 2 = 43 cm (radius is 1/2 of diameter)
Area of the circle = ?
Formula,
[tex]\pi( {r})^{2} [/tex]
Substitute the value of 'r' & pi in the formula.
[tex]\pi(43) {}^{2} \\ = 3.14 \times 43 {}^{2} \\ = 3.14 \times 1849 \\ = 5805.86 \: \: cm {}^{2} [/tex]
⎆ The area of the circle is about 5805.86 cm² (approx.)
48% of student in a school are girls. a student is picked at random.what is the probability that a boy is picked
Answer:
0.52
Step-by-step explanation:
From the above question:
48% of students in a school are girls.
Let the total percentage of students = 100%
The percentage representing boys = 100% - 48% = 52%
Hence, the probability that a boy is picked = P(boy) = Percentage of boys/ Total percentage
P(boy) = 52%/100%
= 0.52/1
= 0.52
Therefore, the probability that a boy is picked is 0.52
A farmer is using a random sample to predict the number of broken eggs in a shipment of 3,000 eggs. Using a calculator, the farmer generates the following random numbers. The numbers 1-250 represent broken eggs. 477 2,704 2,116 900 1,044 238 81 1,672 619 187 755 1,509
Based on this sample, how many broken eggs might the farmer expect?
Answer:
238
Step-by-step explanation:
can anyone help?! Will mark brainliest!
Answer:
Volume are over 120-177 because the layers are communicate each factors and angles..
Step-by-step explanation:
both 6 have 3 factors
A are for equation
5 centimeters are not allowed to communicate with other lessons and Numerator numbers...
HOPE IT HELPS!!
A certain United States flag has a perimeter of 58 feet. The length of the flag is 9 feet longer
than the width. What are the dimensions of the flag?
The dimensions of the flag are:
length = 19 feet and width = 10 feet
Let 'l' be the length of the flag and 'w' be the width of the flag.
The length of the flag is 9 feet longer than the width.
So, we get an equation
l = 9 + w ............(1)
The flag has a perimeter of 58 feet.
We know that the formula for the perimeter of rectangle:
P = 2(l + w) ..............(2)
Here, P = 58 feet
Substitute the value of P in equation (2)
58 = 2(l + w)
29 = (9 + w) + w ..........(from (1))
29 - 9 = 2w
2w = 20
w = 10
Substitute this value in equation (1),
l = 9 + 10
l = 19 feet
Therefore, length = 19 ft and width = 10 ft
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Find the area of this circle. Use 3.14 for pie?
Answer:
3.141592658
Step-by-step explanation:
a parallelogram shaped patio has a rectangular rug in the middle jwhat is the area of the patio around the rug?
Answer:
12" 15"
Step-by-step explanation:
What's the fewest number of people in a room where it's probable (>50%) that a pair of them share a birthday
There is a probable (>50%) that two people in a room with 23 people will share the same birthday.
What is probability?Probable means likely to occur or prove true, or having more evidence for than against, or evidence that inclines the mind to belief but leaves some room for doubt, or affording ground for belief.
Even while it may appear odd that only 23 people are needed to achieve a 50% likelihood of a shared birthdate, this conclusion is made more logical by keeping in mind that birthday comparisons will be done between all potential pairs of people.
There is a 50% chance that two people in a room with 23 people will share the same birthday. Though it may seem strange, it is mathematically accurate.
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