The value of n will be 63, we converted the word to mathematical expression then found n
Word ProblemWhen we see the word "of" in a mathematic expression, it simply means multiplication
Hence we have the mathematical expression for the word in our example as
2/3*n = 42
re-write
2n/3 = 42
cross multiplying we have
2n = 42*3
2n = 126
divide both side by 2 we have
n = 126/2
n = 63
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3. I am a cube that has a length,
width, and height of 1 unit.
A cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.
What is a Cube?A cube is a three-dimensional shape that has equal length, width, and height.
We are given that the height of a cube is 1 unit. Since the length, width, and height of a cube are always equal, therefore:
Length of the cube =1 unit
Width of the cube = 1 unit.
In summary, a cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.
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Can someone please help me?
Answer:
152 ft²
Step-by-step explanation:
First, we can work out the area of the triangles using the formula 1/2 × base × height. 1/2 × 6 × 4 = 12 ft². This is the area of one triangle so we can multiply this by 2 to get the area of both triangles - 24ft².
Next, we can work out the area of the rectangular sides by multiplying the length and width together. 8 × 5 = 40ft². Again, this is the area of one rectangle so we can multiply this by 2 to get the area of both rectangles - 80ft².
Then, we can work out the area of the base by multiplying the length and width together. 8 × 6 = 48ft².
Finally, we can add all the areas together to find the total surface area of the tent. 24 + 80 + 48 = 152 ft².
Hope this helps!
Brian has reduced his cholesterol level by 10% after his last check up. If his original level was 220, what is his cholesterol level now?
100 POINTS
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?
The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.
What is the speed of a body?
The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,
[tex]S=\frac{D}{T}[/tex]
Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.
Total time the patrol boat took in hours is,
[tex]T = 5 + \frac{20}{60}[/tex]
T=5+0.3333
T=5.3333 hours
The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,
[tex]T=\frac{20}{12}[/tex]
T=1.6667 Hours
Thus, the total time is,
T=5.3333+1.6667
T=7 Hours
Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,
[tex]S=\frac{20}{7}[/tex]
S=2.857 kmph
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
two numbers have difference of 6 and a mean of 11. Find the numbers.
Mean is average 11 x 2 = 22
The two cards need to equal 22 when added together.
the difference is 6:
6/2 = 3
11-3 = 8
11+ 3 = 14
14 +8 = 22
the two numbers are 8 and 14
a punch bowl contains 58 fluid ounces of fruit juice. Ishmat adds 2 containers of lemonade to the bowl. Each container holds 6 fluid ounces of lemonade.
How much liquid is in the punch bowl after Ishmat adds the lemonade?
46 fl oz
64 fl oz
66 fl oz
70 fl oz
Answer:
70 fl oz
Step-by-step explanation:
Find how much is added to the punch bowl.
2 containers and each holds 6 fluid ounces.
2 x 6 = 12
Now find the total amount of liquid by adding the original amount and the amount added.
58 + 12 = 70
What is the volume of this container?
Answer:
1,253 in³
Step-by-step explanation:
The container can be split into two rectangular prisms. Adding their volumes together will give us the volume of the container.
The formula for the volume of a rectangular prism is length×width×height or base×height
Let's substitute!
(l×w×h)+(l×w×h)
=(7×5×5)+(11×14×7)
=175+1078
=1,253 in³
Hope this helps!
Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.
Answer:
C
Step-by-step explanation:
d / rate = time
d / 90 + d/60 = 6 hours
(2d+ 3d)/180 = 6
5d = 1080
d = 216 miles
The distance from NYC to Boston is 216 miles.
We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.
We have to determine distance between NYC and Boston.
What is the formula to calculate the distance travelled by the body moving with speed ' v mph ' for ' t hours '.The distance covered by the body will be -
d = v x t
According to question, we have -
Assume that the distance travelled by Steve from NYC to Boston be x.
Then, total distance covered for the round trip = 2x.
From NYC to Boston -
Suppose that in going from NYC to Boston, Steve takes t hours. Then
x = 90 x t (1)
From Boston to NYC -
Steve will take (6 - t) hours to travel the distance. Then -
x = 60 x (6 - t) (2)
Now, Equating the equations (1) and (2), we get -
90 x t = 60 x (6 - t)
1.5t = 6 - t
1.5t + t = 6
2.5 t = 6
t = [tex]\frac{12}{5}[/tex] = 2.4 hours
Therefore -
x = 90 x 2.4 = 216 miles
Hence, the distance from NYC to Boston is 216 miles.
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anyone know the answer?
-7.5 as a mixed number
Answer:
[tex]-7\dfrac12[/tex]
Step by step explanation:
[tex]-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2[/tex]
An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]
As we can see, the probability of this event is 2/7 = 0.28 (approx), so it's even less than 50%, hence we can conclude that the given event is less likely to happen.
The Correct choice is B
The less likely would be the best description of the likelihood of the event.
The correct option is B.
What is the probability?The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?
The probability of the event is 2/7.
To describe the likelihood of the event,
we can convert the fraction to a decimal:
2/7 = 0.2857...
Since the decimal is between 0 and 0.5, we can say that the event is "less likely" to occur.
Therefore, the best answer is B. Less likely.
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Please help NEED THE CORRECT ANSWER ASAP!!!!!
Answer:
correct answer is
A = 32
B= 24
What is the name of the shape depicted in the graph below?
A. Rose
B. Cardioid
C. Limaçon
D. Lemniscate
The name of the shape depicted in the graph below is rose, so the answer is A.
GraphsA rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.
In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.
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Instructions: Find the missing side of the triangle.
Answer:
x=15
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The legs and x and 20 and the hypotenuse is 25
20 ^2+x^2 = 25^2
400 + x^2 = 625
Subtract 400 from each side
x^2 = 625-400
x^2 = 225
Take the square root of each side
sqrt(x^2) = sqrt(225)
x = 15
y^3+2y^2+12y+16=28
I really need a step by step explanation because I want to understand. Thank youuuuu! Branliest for explanation :)
Answer:
[tex]y = 0.835193[/tex] (use the '≈' )
Step-by-step explanation:
[tex]y^3+2y^2+12y+16=28[/tex] (original equation)
[tex]y^3+2y^2+12y+16 - 28 =28 -28[/tex] (subtract 28 from both sides)
[tex]y^3+2y^2+12y-12=0[/tex] (new equation)
then use the cubic formula (i don't really know how to explain the process through a screen. I'm sorry! Hopefully, this helps enough though)
Use the greatest common factor of 84 and 48 to write the sum 84+48 as a product. Write a whole number in each black.
Answer: Below
Step-by-step explanation:
Looking at the numbers, they already seem to be multiples of fours. If we try to scale four up, 12 is the next biggest factor.
84 = 12 * 7
48 = 12 * 4
7 + 4 = 13
12 * 13 = 84 * 48
12 * 13 = 132
A taxi hurries 63 miles in 2 hours
5 minutes. What is its average speed in
miles per hour?
Answer:
30 .24 m/hr
Step-by-step explanation:
2 hours and 5 minutes = 2 + 5/60 hours = 2 5/60 hrs
63 miles / (2 5/60) = 30.24 m/hr
Step-by-step explanation:
To find the average speed, we must know this formula :
[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{Distance \: Travelled}{Total \: Time \: Taken}}} \\ \\ [/tex]
Also we know that, 2 hr 5 min = 2.083 hrs approximately so,Now, substituting the given values in the formula :
[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{63 \: miles}{2.083 \: hr}}} \\ \\ [/tex]
[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = 30.24 \: mph}} \\ \\[/tex]
Therefore,
The average speed of the taxi is 30.24 mph
can someonhelp me with this I'm stuck please help I will give brainlyest
Answer:
Table 1:
2 miles = 3520 yards
3 miles = 5280 yards
Table 2:
2 yards = 6 feet
3 yards = 9 feet
Table 3:
2 feet = 24 inches
3 feet = 36 inches
Table 4:
2 yards = 72 inches
Question 5: 4 yards, 130 inches, 10 feet
Question 6: The width of a penny
Step-by-step explanation:
Table 1: Multiply 1760 by 2 (3520), and 3 (5280).
Table 2: Multiply 3 by 2 (6), and 3 (9).
Table 3: Multiply 12 by 2 (24), and 3 (36).
Table 4: Multiply 36 by 2 (72).
Question 5: Convert all measurements to inches (the smallest value).
130 (given)
4 yards = 144 inches
10 feet = 120 inches
In greatest to least, we get 144, 130, 120.
Question 6: The length of a dollar is much wider than 1 inch, and so is a pencil. The width of a penny makes the most sense.
hope this helps!
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.
The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
Mean of 3 hours and 50 minutes Standard deviation of 30 minutes.Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
[tex]P=1-0.84\\P=0.16[/tex]
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
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Naomi wants to take yoga classes. she can take classes at the high school for a one-time fee of $20 plus $10 per class. she can join the local gym for $50 and take classes for $5 per class. which statement is true about the average cost for the two options? the high school option costs less per class for six classes. the gym option costs less per class for six classes. the high school option costs less per class for seven classes. the gym option costs less per class for seven classes.
The gym option costs less per class for six classes(Option B), and the gym option costs less per class for seven (Option D).
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Here we're specified that:
For high school classes:
one-time fee of $20 plus $10 per class.For local gym:
she can join for $50 and take classes for $5 per class.For 6 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 6 = $(20+60) = $80
(since $20 dollar is one time cost, and $10 was price for each class)
Similarly, joining local gym's $50 cost is one time, and rest of $5 is price for each class.
Local gym : $50 + $(5+5+5+5+5+5) = $20 + $5 × 6 = $(20+30) = $50
For 7 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 7 = $(20+70) = $90
Local gym : $50 + $(5+5+5+5+5+5+5) = $20 + $5 × 7 = $(20+35) = $55
Thus, the statements which are true about the average cost for the two options is given by: Option B: The gym option costs less per class for six classes., Option D: The gym option costs less per class for seven classes.
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Elaine has three types of nuts, peanuts, cashews and almonds, that she combines and stores in a large container: There are three times as many ounces of peanuts as of cashews. There are 5 more ounces of almonds than cashews_ The total weight of the mixed nuts is 20 ounces: How many ounces are there of peanuts?'
Answer:
There are 9 ounces of peanuts
Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|
help me!!! solve the inequality!! 8 ≤ x < 6
find the value of x by factoring x^2-9x-36=0
The red figure is a dilated image of the blue figure. Which diagram shows the correct
center of dilation?
Dilating the blue figure to create the red figure ensures that both figures have different sizes
The correct center of dilation is (d)
How to determine the center of dilation?The center of dilation influences the position of the image of the dilated figure.
For figure 1, the center of dilation would ensure that the red figure is to the left of the blue figureFor figure 2 and 3, the center of dilation would ensure that the red and the blue figure have the same vertexFor figure 4, the center of dilation would ensure that both triangles have the same centerThe 4 diagrams show that both figures have the same center
Hence, the correct center of dilation is (d)
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8.2.AP-5
Question Help
What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and
no right angles?
Answer:
parallelogram
Step-by-step explanation:
Parallelograms have two pairs of parallel sides and no right angles.
How a find the value of y in y = x-7?
Answer:
7
Step-by-step explanation:
Accurate information
which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =
Answer:
[tex] \frac{4}{5} > \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5} = 0.8[/tex]
[tex] \frac{1}{2 } = 0.5[/tex]
a ball is dropped from a height of one meter. every time it hits the ground, it rebounds to exactly 2/3 of the previous height. what is the total distance the ball has traveled after its hits the ground for the eigth time?
Answer:69/56 that is your answer did it help
sabir makes a chart to track the total calories he burns on the treadmill Flow
the chart below to show how many calories Sabir will have burned after following
his morning treadmill workout for seven days.
25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550 575 600 625
Calories Burned This Week
To know how many calories has Sabir burned in his workout, first identify the calories he burnt every day, and then add them.
How to know the total of calories Sabir has burned?The total of calories burnt is equal to adding the calories burnt everyday:
Total = day one calories + day two calories + day three calories, etc.Due to this, the steps recommended are:
Identify the number of calories he burned everyday.Add these results to obtain the total.Here is a hypothetical example:
Day 1: 250 calorieDay 2: 420 caloriesDay 3: 560 caloriesDay 4: 210 caloriesDay 5: 340 caloriesDay 6: 510 caloriesDay 7: 120 calories250+420+560+210+340+510+120 = 2410 calories.
Note: This question is incomplete because the chart is not given; due to this, the answer is based on general knowledge.
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