Answer:
44 miles per hour
Answer:
44 miles per hour
Step-by-step explanation:
This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units.
2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units.
Answer:
The total volume of the solid is 1.67 cubic units.
Step-by-step explanation:
Each pyramid with a height of 2 units and a rectangular base with dimensions of 5 units × 0.25 units.
Therefore, the volume of each pyramid will be [tex]\frac{1}{3} \times \textrm {(Area of base rectangle)} \times \textrm {Height}[/tex]
= [tex]\frac{1}{3} \times (5 \times 0.25) \times 2 = 0.833[/tex] cubic units.
So, the total volume of the solid is (2 × 0.833) = 1.67 cubic units. (Answer)
Final answer:
To calculate the volume of the composite figure made from two identical pyramids with rectangular bases, we first find the volume of one pyramid using the formula for the volume of a pyramid and then multiply by two, resulting in a total volume of 1.666 cubic units.
Explanation:
The question involves calculating the volume of a composite figure made of two identical pyramids attached at their bases, with each pyramid having a rectangular base. The dimensions provided are a height of 2 units for each pyramid, and the rectangle's sides are 5 and 0.25 units. To find the volume of one pyramid, we use the formula for the volume of a pyramid, V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid. The area of the rectangular base, B, is calculated as length × width = 5 × 0.25 = 1.25 square units. Substituting the values into the volume formula gives us V = (1/3)×1.25×2 = (1/3)×2.5 = 0.833 cubic units for one pyramid. Since the composite figure is made up of two such pyramids, the total volume is 2 × 0.833 = 1.666 cubic units.
A student walks one fourth mile from her home to the store on her way to a friends house. If the store is one third of the way to her friends house, how far is her friends house from her way home ?
Answer:
three fourth mile=[tex]\frac{3}{4} mile[/tex]
Step-by-step explanation:
Given
She walks [tex]\frac{1}{4}[/tex] mile from her house to storeThe distance from house to store is one third of distance to friends house⇒
[tex]\text{Distance from house to store}=\frac{1}{3} \times \text{Distance from house to friends house}\\ \text{Distance from house to friends house}= 3\times \frac{1}{4}\\ \text{Distance from house to friends house}=\frac{3}{4}[/tex]
Distance from her house to friends house [tex]\frac{3}{4}[/tex] miles
A manufacturer of window frames knows from past experience that 15 per cent of the production will have some type of minor defect that will require adjustment. Suppose 20 windows are selected at random: How many window frames would you expect to have minor defects?
Answer: 3
Step-by-step explanation:
Given : A manufacturer of window frames knows from past experience that 15 per cent of the production will have some type of minor defect that will require adjustment.
i.e. the proportion of production will have some type of minor defect that will require adjustment. : p=0.15
If n=20 windows are selected at random , then the expected number of window frames have minor defects = np
[tex]=20\times0.15=3[/tex]
Hence, the expected number of window frames have minor defects =3
How many zeros does the function f(x)=3x^12 -17x^8+11x^4-6x+23 have
Answer:
12.
Step-by-step explanation:
The number of zeros to an equation is the highest power of the polynomial.
A quadratic equation whose highest degree is 2, has two solutions.
The equation f(x) = [tex]$ 3x^{12} - 17x^{8} + 11x^{4} - 6x + 23 $[/tex] will have 12 solutions (or zeroes) since the highest degree is 12.
what was the original number if after 40% it became 420
Answer:
588 should be the answer :)
Answer:
300
Step-by-step explanation:
Solve for x.
x+(2/5*x)=420
x=300
Danielle and Tracy are building a rectangular sandbox. Danielle has two boards that are equal in length, and Tracy has two boards that are each 5 feet longer than Danielle’s. They use the four boards as the four sides of their sandbox. Use the variable x to write an algebraic expression to relate the perimeter of the sandbox to the length of one of Danielle’s boards.
Answer:
[tex]P=4x+10[/tex]
Step-by-step explanation:
Let
x -----> the length of Danielle's board in feet
y ----> the length of Tracy's board in feet
we know that
[tex]y=x+5[/tex] ----> equation A
The perimeter of the sandbox is equal to
[tex]P=2(x+y)[/tex] ----> equation B
substitute equation A in equation B
[tex]P=2(x+x+5)[/tex]
[tex]P=2(2x+5)[/tex]
[tex]P=4x+10[/tex]
A toy car costing $50 is reduced by 10% in the sale. how much money is it reduced by?
Answer:
$5
Step-by-step explanation:
10% = 10/100 = 1/10.
1/10 of 50 = 5
Becky buys 3 books and the total cost is $24.18. What is the constant of proportionality that relates the cost in dollars, y, to the number of books, x?
Answer: 1x = $8.06y
Step-by-step explanation:
thats honestly all i know..
Solve for x.
18 + x= -2
x=
Help!
Answer: x = -20
================================
Explanation:
The expression 18+x is the same as x+18. This is because we can add two numbers in any order to get the same result. Example: 2+3 = 3+2 = 5.
Whats happening to the x is we add on 18. To isolate x, we undo this operation to subtract 18 from both sides.
Keep in mind that subtracting a negative from a negative will have us add the positive versions of the number, and the final result is ultimately negative. So that's why -2-18 = -20. You can think of it as 2+18 = 20 and you make the 20 negative.
Here's how the steps look like
--------
18 + x = -2
x + 18 = -2
x + 18 - 18 = -2 - 18 ... subtracting 18 from both sides
x + 0 = -20
x = -20
Let f and g be differentiable functions such that f(1) = 2, f'(1) = 3, f'(2) = -4, g(1) = 2, g'(1) = -3, g'(2) = 5. If h(x) = f (g(x)) , then h'(1) =
Answer:
12
Step-by-step explanation:
h(x) = f(g(x))
Using chain rule:
h'(x) = f'(g(x)) g'(x)
h'(1) = f'(g(1)) g'(1)
h'(1) = f'(2) g'(1)
h'(1) = -4 × -3
h'(1) = 12
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
A: 14/13
B: 25/7
C: 4
C: 4 is the right answer
Step-by-step explanation:
Given
a1 = -3
a15 = 53
We know that explicit formula for the arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
For the 15th, term it will be
[tex]a_{15}=-3+(15-1)d\\53=-3+14d[/tex]
Adding 3 on both sides
[tex]53+3 = -3+3 + 14d\\56 = 14d[/tex]
Dividing both sides by 14
[tex]\frac{56}{14}=\frac{14d}{14}\\d=4[/tex]
Hence,
C: 4 is the right answer
Keywords: Arithmetic sequence, Common Difference
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Answer:
C) 4 is the correct answer
What Passes through (6,-3) parallel to y= -2x-5?
Answer:
y+2x=9 is the line passing through (6,-3) parallel to y=-2x-5
Step-by-step explanation:
In the question we are given with a point (6,-3) and a line [tex]y=-2x-5[/tex]. we have to find the line passing through given point and parallel to given line.\
formula used: equation of a line passing through a point(a,b) with slope m is given by [tex](y-b) = m(x-a)[/tex].
here we have (a,b)=(6,-3) and the slope of the line is slope of [tex]y=-2x-5[/tex]
i.e, -2( coefficient of x).
therefore, substituting point and slope in formula we get [tex]y+3 = -2(x-6)[/tex]
which simplifies to [tex]y+3= -2x+12\\ y+2x=9[/tex] is asked line equation
On the middle school baseball team, 8 players are sixth graders. Of the players, 40% are sixth graders. How many
players are on the team? Explain your answer.
There are 20 players are on the team.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
On the middle school baseball team, 8 players are sixth graders.
And, Of the players, 40% are sixth graders.
Now,
Let number of players on the team = x
So, We can formulate;
⇒ 40% of x = 8
⇒ 40/100 × x = 8
⇒ 40x = 800
⇒ x = 800/40
⇒ x= 20
Thus, Number of players on the team = 20
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Final answer:
There are 20 players on the middle school baseball team in total, calculated by dividing the number of sixth graders (8) by the percentage that represents sixth graders (40%).
Explanation:
Based on the information given, if 40% of the players on the middle school baseball team are sixth graders, and there are 8 sixth graders on the team, we can calculate the total number of players on the team. We know that 40% is equal to 0.40 when expressed as a decimal. Thus, the equation to find the total number of players (T) is 0.40 * T = 8.
To find T, divide both sides of the equation by 0.40:
T = 8 / 0.40
T = 20
Therefore, there are 20 players on the team in total.
According to this information, what was the percentage of carbon-14 remaining in an object after 55 years?
Answer:
Option A that is [tex]99.34[/tex] is the correct choice.
Step-by-step explanation:
To find what percentage of carbon-14 is still remaining after [tex]55[/tex] years.
We have to pull the equation and instead of [tex]t[/tex] we will put the years in numbers that is [tex]t=55[/tex]
Lets see the equation.
[tex]C(t)=100.e^{-0.000121(t)}[/tex]
Now to find the carbon-14 percentage.
Putting the value of [tex]t[/tex] in years.
So
[tex]C(t)=100.e^{-0.000121(t)}[/tex] and [tex]e^{-0.000121(55)}=0.9934[/tex]
[tex]C(t)=100\times 0.9934 =99.34[/tex]
As mentioned that the function is already framed to find the percentage we need not to convert it or multiply with [tex]100[/tex].
So the percentage of C-14 remaining after [tex]55[/tex] years is [tex]99.34[/tex]
Option A is the correct choice.
km
Two buses leave a station at the same time and travel in opposite directions. One bus travels 10 - - slower than the other. If the two buses are 1442
kilometers apart after 7 hours, what is the rate of each bus?
Rate of the slower bus:
X
5
?
Rate of the faster bus:
Answer:
The speed of faster bus is 108 kmph and The speed of slower bus is 98 kmph .
Step-by-step explanation:
Given as :
The two buses apart 1442 km
The time taken for apart = 7 hours
Let The speed of faster bus = x kmph
The speed of slower bus = ( x - 10 ) kmph
Now Speed = [tex]\dfrac{\textrm distance}{\textrm time}[/tex]
∵ Both the buses traveling in opposite direction
So, The speed of faster bus + the speed of slower bus = [tex]\dfrac{\textrm distance cover}{\textrm time}[/tex]
Or, x + x - 10 = [tex]\frac{1442}{7}[/tex]
or, 2 x = 206 + 10
or, 2 x = 216
∴ x = [tex]\frac{216}{2}[/tex]
I.e x = 108 kmph
So, The speed of faster bus = x = 108 kmph
And The speed of slower bus = ( x - 10 ) = 108 - 10 = 98 kmph
Hence The speed of faster bus is 108 kmph and The speed of slower bus is 98 kmph . Answer
Explain how you can use the rules for dividing a negative number by a negative number to determine the sign of the quotient -0.3-0.05.
Well, the main rules for negative numbers are that a negative combined with a negative always makes a positive. This rule applies almost everywhere, except subtraction. So, the rule also applies in division. So no matter what, if you divide a negative number with a negative number, the answer should always be positive.
The expression "negative 0.3 divided by negative 0.05" or -0.3/-0.05 has a positive quotient.
What is Quotient ?
Quotient is defined as the value resulting from dividing two numbers. When dividing two signed numbers (positive or negative), divide their absolute values and follow these rules:
(+) divided by (+) equals (+)
(-) divided by (-) equals (+)
(+) divided by (-) equals (-)
(-) divided by (+) equals (-)
To have a positive quotient, both the numerator and the denominator should have the same signs, either both (+) or both (-).
negative 0.3 divided by negative 0.05 :
-0.3/-0.05 = -/- = +
Therefore, The expression "negative 0.3 divided by negative 0.05" or -0.3/-0.05 has a positive quotient.
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How would I find the area given these 4 points? Is there a formula that I just don't know
Answer: No
Step-by-step explanation:
I can’t think of one but if you have a pegboard there is a formula called Pick’s Formula
The angle measures of equilateral triangle ABC can be represented by (2x+10)degrees. Find the value of x.
A.) 60
B.) 35
C.) 55
D.) 25
5.5B+4R=285, point, 5, B, plus, 4, R, equals, 28
The above equation is true if Amit buys BBB pounds of blueberries and RRR pounds of raspberries at a farm where blueberries cost \$5.50$5.50dollar sign, 5, point, 50 per pound and raspberries cost \$4.00$4.00dollar sign, 4, point, 00 per pound. According to the equation, how much does Amit spend in total on both types of berries?
Answer:
$285
Step-by-step explanation:
Blueberries:
B = number of pounds of blueberries bought
$5.50 = price of blueberries per pound
$5.50B = total price of B pounds of blueberries
Blueberries:
R = number of pounds of raspberries bought
$4 = price of raspberries per pound
$4R = total price of R pounds of raspberries
Total:
$5.5B + $4R
Since 5.5B+4R=285, then Amit spends in total on both types of berries $285
Complete question:
5B+4R=28
The above equation is true if Amit buys B pounds of blueberries and R pounds of raspberries at a farm where blueberries cost $5.50 per pound and raspberries cost $4.00 per pound. According to the equation, how much does Amit spend in total on both types of berries?
Answer:
In total Amits spends $28 in both types of berries.
Step-by-step explanation:
The equation is
5B+4R=28
B represent the weight in pounds of the blueberries and R represent the weight in pounds of the raspberries.
B = weight in pounds of blueberries
R = weight in pounds of raspberries
The price per pound of blue berries is $5.50. The amount of blueberries he takes depending on the number of pounds Amit buys which is equals to 5B.
Cost of blueberries depending on the number of pounds = 5.5B
The price per pound of the blue berries is $4.00 .The cost of raspberries he takes depend on the number of pounds Amit buys which is equal to 4R.
Cost of raspberries depending on the number of pounds = 4R
The total cost of both blueberries and raspberries depending on the number of pounds is equals to 5B+4R=28
Total cost
5B+4R=28
In total Amits spends $28 in both types of berries.
kyle made a pot of chili with 48 ounces of ground beef and two tablespoons of chili powder he made another pot of chili with the same amount of ground beef but he used three times as much chili powder howmany pounds of ground beef per tablespoons of chili powder did he use in the second pot
Answer:
8 pounds per tablespoon
Step-by-step explanation:
2 (3) = 6
48 (1/6) = 8
Answer:
8 pounds per tablespoon
Step-by-step explanation:
2 (3) = 6
Step-by-step explanation:
help
step for step please
Answer:
x + y ≥ 35 and 15x + 8y ≥ 350
Step-by-step explanation:
Mitch is packing books into boxes.
Each box can hold either 15 small books or 8 large books.
Now, given that Mitch needs to pack at least 35 boxes and at least 350 books.
Now, if x is the number of small book-boxes and y is the number of large book-boxes,
Then, we can write from the above conditions that
x + y ≥ 35.......... (1) and
{Since total number of boxes must be at least 35}
15x + 8y ≥ 350 .......... (2)
{Since the total number of books must be at least 350 and each large book-boxes contain 8 large books and each small book-boxes contain 15 small books}
Therefore, the equations (1) and (2) are the required inequality equations that model the situation. (Answer)
Special Right Triangles: Decimal Answer. Can someone help me find A and D (round to the nearest tenth) ?Thank You!
Answer:
I don't really know but I can maybe figure it out
50PTS MANY POINTS
A horizontal line on a distance time graph represents
A) zero velocity.
B) constant negative velocity.
C) constant positive velocity.
D) constantly increasing velocity.
Explanation:
Recall that the slope is equal to the rise/run.
Rise = change in y = change in distance
Run = change in x = change in time
If we have a horizontal line, then there is no change in y. The rise would be 0 here. The run can be anything you want. Let's just call it x
Slope = rise/run = 0/x = 0
Therefore, all horizontal lines have a slope of 0.
The slope of a distance time graph represents the velocity because
velocity = (change in distance)/(change in time) = rise/run = slope
for example, a velocity of 10 meters per second represents a change of 10 meters over 1 second. The rise here woud be 10 meters and the run would be 1 second.
In parallelogram ABCD,m
Answer:
After that????? Please ask me the full question please.
Thank you
Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $140. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Beth purchased?
Answer:
The Total number of adults ticket's is 15
The Total number of Senior citizen ticket's is 5
Step-by-step explanation:
Given as :
The total number of movies tickets were bought = 20
The cost of adults tickets = $ 8.00
The cost of senior citizen tickets = $ 4.00
The total money spent on movie tickets = $ 140
Let The total number of adults tickets = A
And The total number of senior citizen tickets = S
Now, According to question
The total number of movies tickets were bought = 20
I.e The total number of adults tickets + The total number of senior citizen tickets = 20
Or, A + S = 20
And $ 8 A + $ 4 S = $ 140 .........1
I.e 8 × ( A + S ) = 8 × 20
Or, 8 A + 8 S = 160 .......2
Solving the equation 1 and 2
Or, ( 8 A + 8 S ) - ( 8 A + 4 S ) = 160 - 140
Or, ( 8 A - 8 A ) + ( 8 S - 4 S ) = 20
or, 0 + 4 S = 20
∴ S = [tex]\frac{20}{4}[/tex]
I.e S = 5
So, The number of Senior citizen ticket's = 5
Put The value of S in eq 1
So, 8 A + 4 × 5 = 140
Or, 8 A = 140 - 20
Or, 8 A = 120
∴ A = [tex]\frac{120}{8}[/tex]
I.e A = 15
So, The number of adult's tickets = 15
Hence The Total number of adults ticket's is 15
And The Total number of Senior citizen ticket's is 5 Answer
A box has dimensions of 14inches long,1.5 feet wide,and 7inches high. What is the volume of the box?
Step-by-step explanation: In this problem, we are asked to find the volume of a box which means we use the formula for finding the volume of a rectangular prism.
To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.
Volume = length × width × height
Before plugging any numbers into our length, width, or height, first notice that we have dimensions in inches and feet. To make this easier, let's first convert the width which is 1.5 feet into inches. 1.5 feet is equal to 18 inches so now we are all set.
Since the rectangular prism has a length of 14 inches, a width of 18 inches, and a height of 7 inches, we can plug this information into the formula.
Volume = (14 in.) (18 in.) (7 in.)
Volume = 1,764 in.³
Therefore, the volume of the box is 1,764 in.³.
What is 56% of 71?
Answer: 39.76
Step-by-step explanation: To find 56% of 71, first write 56% as a decimal by moving the decimal point two places to the left to get .56.
Next, the word "of" means multiply so we have .56 × 71.
(.56) (71) = 39.76
Therefore, 56% of 71 is 39.76.
a rectangular plot of land has an area of 52/96 square kilometers and a length of 4/12 kilometers what is the width of plot of land
The width of plot of land is 13/8 kilometers.
Step-by-step explanation:
Area of rectangular plot = 52/96 square kilometers
Length of plot = 4/12 kilometers
Width of plot = w
Area of rectangle = length * width
[tex]\frac{52}{96}=\frac{4}{12}*w\\[/tex]
Multiplying both sides by [tex]\frac{12}{4}\\[/tex]
[tex]\frac{52}{96}*\frac{12}{4}=\frac{12}{4}*\frac{4}{12}w\\\\\frac{624}{384}=w\\\\\frac{13}{8}=w\\\\w=\frac{13}{8}[/tex]
The width of plot of land is 13/8 kilometers.
Keywords: rectangle, area
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How many solutions does this system have?
Answer:
One solution since x=0
Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 3 to 2. Tia wants to sell a total of 50 apples and oranges. How many apples should she sell?
i have no idea how many apples should she sell
Answer:
She should sell 30 apples and 20 oranges
Step-by-step explanation:
3+2=5 so everytime she does that she gets another 5 fruit sold just add a 0 to both and boom 50. I hope thats right, im pretty sure it is