[tex]5 \frac{2}{3} + 2 \frac{1}{5} = 7 \frac{13}{15} [/tex]
Step-by-step explanation:
[tex]5 \frac{2}{3} + 2 \frac{1}{5} \\ = \frac{17}{3} + \frac{11}{5} \\ = \frac{17 \times 5}{3 \times 5} + \frac{11 \times 3}{5 \times 3} \\ = \frac{85}{15} + \frac{33}{15} \\ = \frac{118}{15} \\ = 7 \frac{13}{15} [/tex]
So, the value is 7 13/15
Hope it helpful and useful :)
Answer: The answer is 7 13/15 in fraction
Step-by-step explanation:
the solid below is made from 1 yard cubes. find it's surface area
Answer:
surface area = 28 yard²
Step-by-step explanation:
given data
1 unit length of cube = 1 yd
solution
As given image shown that rectangular solid has length 5 units, width 2 units, and height 2 units.
so we get here surface area that is we get by area of each of its faces
we can see three face are
A front = L × W = 2 × 2 = 4
A side = L × W = 5 × 2 = 10
A top = L × W = 5 × 2 = 10
so here
surface area = ( front + back ) + ( left side + right side ) + ( top + bottom ) ................1
surface area = ( 2 × front ) + ( 2 × left side ) + ( 2 × top )
surface area = ( 2 × 4 ) + ( 2 × 10 ) + ( 2 × 10 )
surface area = 8 + 20 + 20
surface area = 28 yard²
Florist ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. which shows the correct equation and value of x, the distance of 1 lap around the path at the park?
Answer:
.9167 miles per lap
Step-by-step explanation:
3.6 miles total-1.2 miles walked= 4.4 miles in laps
4.4 miles=4.8 laps
we are solving for miles per lap, so we divide 4.4m/4.8l
Answer:
The correct answer is D.
Step-by-step explanation:
Solve : 6=m-7/8
HELP!!!
Answer:
Step-by-step explanation:
[tex]6=m-\frac{7}{8}\\\\6+\frac{7}{8}=m\\\\\frac{6*8}{1*8}+\frac{7}{8}=m\\\\\frac{48}{8}+\frac{7}{8}=m\\\\\frac{55}{8}=m\\\\m=\frac{55}{8}[/tex]
find the area of the kite.
area = _[tex]m^{2}[/tex]
Answer:
24 m^2
Step-by-step explanation:
The area of a kite is the product of the diagonals divided by 2.
If the diagonals have lengths a and b, then area = ab/2
area = ab/2
a = horizontal diagonal = 2 m + 6 m = 8 m
b = vertical diagonal = 3 m + 3 m = 6 m
area = (8 m)(6 m)/2 = (48 m^2)/2 = 24 m^2
No solution 4x+2=4x+
Answer:
Any positive number will make this true.
Some answers it can be:
4x=2=4x+5
4x+2=4x+3
The speed of a boat in still water is 24 mph. It goes 15 miles downstream and comes back in 80 minutes. What is the speed of the stream? *
The problem involves calculating the speed of the current in a river using the given data: the speed of a boat in still water, the distance traveled downstream and upstream, and the total time taken. An application of the concept of relative speed helps solve the problem by setting up an equation reflecting the speeds during the downstream and upstream runs, then solving for the speed of the current.
Explanation:The problem demonstrates an application of relative speed in the context of a boat moving in a stream. Let's denote the speed of the boat by 'b', the speed of the stream by 's', the time taken to move downstream by 't1', and the time taken to move upstream by 't2'. The speed of the boat in still water is given as 24 mph.
When moving downstream, the boat and the stream are going in the same direction, so their speeds add up: the actual speed will be b+s (24 mph + s). On the other hand, when moving upstream, the boat is going against the stream, so the actual speed is b-s (24 mph - s).
The total time taken to go 15 miles downstream and return is 80 minutes or 4/3 hours. Therefore, using the formula for time (time = distance/speed), we can set up the following equation: 15/(24+s) + 15/(24-s) = 4/3
Solving this equation will give us the value of 's', which represents the speed of the stream.
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The speed of the stream is 6mph.
To find the speed of the stream, we can use the concept of relative speed.
When the boat is going downstream (with the current), the effective speed is increased by the speed of the stream. So, the effective speed downstream is v + s
When the boat is going upstream (against the current), the effective speed is decreased by the speed of the stream. So, the effective speed upstream is V- s
1. Time taken downstream
[tex]\[ t_d = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v + s} \][/tex]
2. Time taken upstream
[tex]\[ t_u = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v - s} \][/tex]
3. Total time for the round trip
The total time taken for the round trip is the sum of the time taken downstream and upstream.
[tex]\[ \frac{15}{v + s} + \frac{15}{v - s} = \frac{80}{60} \] (converted minutes to hours)[/tex]
Now, let's substitute v = 24 into the equations and solve for \( s \), the speed of the stream.
Once we have s we can find the speed of the stream.
[tex]\[ \frac{15}{24 + s} + \frac{15}{24 - s} = \frac{4}{3} \][/tex]
Multiplying both sides of the equation by ( (24 + s)(24 - s) to clear the denominators:
[tex]\[ 15(24 - s) + 15(24 + s) = \frac{4}{3}(24 + s)(24 - s) \][/tex]
Taking the square root of both sides:
s= 6
Therefore, the speed of the stream is 6 mph.
What is Mara has 7 cups of green paint and a container filled with 64 fluid ounces of yellow paint which color of paint does Mara have a lot of explain your reasoning
Answer: Mara has a lot of yellow paint
Step-by-step explanation:
Mara has less green paint because 7 cups is the same as 56 fluid ounces and 56 is less than 64 (yellow paint)
Mara has 56 fluid ounces of green paint and 64 fluid ounces of yellow paint. Therefore, Mara has more yellow paint. The calculations involve converting units of measure for an accurate comparison.
Explanation:To answer your question accurately, it would be necessary to convert the measurements to the same unit. Given that 1 cup is approximately 8 fluid ounces, Mara's 7 cups of green paint convert to 56 fluid ounces (7 cups * 8 ounces/cup).
Comparing this to the 64 fluid ounces of yellow paint, we find that Mara has more yellow paint.
The comparison was made by first converting the quantity of green paint from cups to fluid ounces for a direct, accurate comparison between the two quantities of paint. This kind of problem is a great example of why understanding units of measure is important in mathematics and in everyday life.
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Find the surface area.
24 yd
15 yd
15 yd
+13 yd
15 yd
The surface area of the figure in square yards is 1275 square yards
Surface area of a prismThe surface area of a figure is the tota sum of all the area of the faces.
For the given diagram, it consist of 2 triangles and 3 rectangles
Area of the figure = 3(24 * 15) + (13* 15)
Surfacea area = 3(360) + 195
Surface area = 1080 + 195
Surface area = 1275 square yards
Hence the surface area of the figure in square yards is 1275 square yards
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The list of multiples for 6 is infinite.
True or False?
Answer:
True
Step-by-step explanation:
As there are infinite numbers, the list of multiples are also infinite.
Multiples of 6 : 6, 12 , 18 , 24 ..............
Answer:
True; yes.
Step-by-step explanation:
Think about it, what does etc, etc mean? It means repetitive-a pattern, in a sort of way. So here are some multiples of 6:
6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294, etc.
As you can see, all I'm doing is adding 6 to every step I go. So when you say there is an infinite number, then these multiples are going to be infinite.
What is the probability that a data value in a normal distribution is between a z-score of -0.28 and a z-score of 0.64? Round your answer to the nearest tenth of a percent. A. 90.9% B. 58.1% C. 34.9% D. 73.3%
Answer:
[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]
[tex]P(Z<0.64) =0.739[/tex]
[tex]P(Z<-0.28) =0.390[/tex]
And with the difference we got: 0.739-0.390 = 0.349
And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:
C. 34.9%
Step-by-step explanation:
For this case we want this probability:
[tex] P(-0.28 <Z< 0.64)[/tex]
And we can find this probability using the normal standard distribution and with the following difference:
[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]
If we find the individual probabilities we got:
[tex]P(Z<0.64) =0.739[/tex]
[tex]P(Z<-0.28) =0.390[/tex]
And with the difference we got: 0.739-0.390 = 0.349
And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:
C. 34.9%
The probability of a value falling between z-scores of -0.28 and 0.64 in a normal distribution is found by taking the cumulative area under the standard normal curve for each z-score and calculating their difference, which results in approximately 34.9% after rounding. Thus, the correct answer to the student's question is option C) 34.9%.
The question addresses the calculation of probabilities for specific ranges of z-scores in a normal distribution. To find the probability that a data value is between a z-score of -0.28 and a z-score of 0.64, we need to look at the standard normal distribution table or use a statistical software that provides the cumulative area up to these z-scores.
The probability of a value being less than z = 0.64 is P(Z < 0.64). According to the z-table, this probability is approximately 0.7389. Similarly, the probability of a value being greater than z = -0.28 (which is equivalent to less than due to symmetry) can be found as 1 - P(Z < -0.28), which, when referred to a z-table, gives a value of about 0.6103. Therefore, the total probability of a value being between z = -0.28 and z = 0.64 is the difference between these two probabilities, 0.7389 - (1 - 0.6103) = 0.3492 or 34.92%.
However, this value needs to be rounded to the nearest tenth of a percent, which yields 34.9%. So the correct answer is C. 34.9%.
I only need e f g done!!! WIll give brainliest!!
Answer:
E) the new price is going to be $3.92
Work: 3.50 × 12 / 100 = 0.42
3.50 + 0.42 = 3.92
F) Dont understand what this one is asking
G) You would save 1.03$ with the 10% off.
Work: 10.3 x 10 / 100
103 / 100
$1.03
hope this helps
A ladder is leaning against the side of a 10 meter house if the base of the ladder is 3 meter away from house how tall is the ladder?
Answer:
Depth A trough is 12 feet long and 3 feet across the top (see figure). ... 3 8 25. Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. ... Construction A construction worker pulls a five-meter plank up the side of a ...
Step-by-step explanation:
Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . How can he order them ?
Answer:
Allan can order them from least to greatest.
Step-by-step explanation:
Answer:
First, Allan should write the fractions as decimals by dividing the numerator by the denominator. Then he can plot the points on the number line. Reading the plotted points from left to right gives the points in order, from least to greatest.
Step-by-step explanation:
Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.
What is the constant of proportionality?
miles per gallon
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Please help me on this question ASAP :)
Answer:
x=12, y=4
x=3, y=1
x=18, y=6
Step-by-step explanation:
To solve for x in the given table, you can plug in the values x into the rule and solve for y.
The list of all factors for 32 is 1,2,4,8, and 32.
True or False
Answer:
False
Step-by-step explanation:
The list of all the factors of 32 is 1, 2, 4, 8, 16, and 32
PLEASE HELP
Figure ABCD is reflected across the y-axis.
What are the coordinates of A' , B' , C' , and D' ?
Enter your answer in each box.
The coordinate for A, B, C, and D: (Current coordinates)
A: (-1, 4)
B: (-5, 8)
C: (-5, 4)
D: (-4, 2)
Once we reflect acorss the y-axis the coordinates become:
A': (1, 4)
B': (5, 8)
C': (5, 4)
D': (4, 2)
In this situation the coordinates just become positive.
I hope this helps!
PLEASE HELP
Answer as a decimal with four decimal places
2.5x0.3 =
(0.3 is a repeating fraction)
Answer: 0.8333
Step-by-step explanation:
y = 200 + 350x , y = 3x When x = 7, which equation has the greater value?
Answer:
y=200+350x
Step-by-step explanation:
3*7=21
200+350*7=2450
solve for A A/20 = 7
Answer:
A = 140
Step-by-step explanation:
Answer:
in my opinion the answer is A=140
Step-by-step explanation:
1. The buzz about coffee A recent study of over 400,000 older people in eight states asked participants whether or not they drank coffee and followed them for 13 years. The researchers found that coffee drinkers tend to live longer than non-coffee drinkers.
a. What is the statistical question that the researchers were trying to answer? b. Identify the population and the sample.
c. Is this an observational study or an experiment? Explain.
Answer:
a. The correlation between drinking coffee and longevity among older people
b. The population is the entire population of older people
The sample is the over 400,000 older people from eight states
c. It is an observational study
Step-by-step explanation:
a. A statistical question is a question that results in different answers from different respondents. Here the statistical question the researchers are trying to answer is if there is a correlation between drinking coffee and longevity among older people
b. The population is the entire population of older people and the sample is the over 400,000 older people from eight states
c. An observational study is one in which the researchers sought or collect data based on what is obtainable and make conclusions based on the sought or obtained data. An experiment is one in which the effects of inputs from the researchers on a group is recorded
From the description of the question, therefore, the study is observational.
The researchers were trying to determine if coffee drinkers live longer than non-coffee drinkers. The population studied was older people in eight states, with a sample size of 400,000 participants. The study was an observational study that followed participants for 13 years.
Explanation:a. The statistical question that the researchers were trying to answer is whether coffee drinkers live longer than non-coffee drinkers.
b. The population in this study is older people in eight states, while the sample is the 400,000 participants who were involved in the study.
c. This study is an observational study because the researchers observed the participants' coffee consumption and followed them for 13 years without intervening or manipulating any variables.
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The expression (5 + 3) - (3 + 7) is a
sum.
product.
difference.
Answer:
DIFFERENCE
Step-by-step explanation:
It is a difference because you are subtracting or finding the difference between 5+3 and 3+7.
c=4h+9f +4p solve for F
Answer:
the answer to your question will be f = c/9 - 4h/9 - 4p/9
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
YO PLEASEEE HELP ASAP !!!!
What is the factored form of this quadratic trinomial?
x2 − x − 42
A. (x + 6)(x − 7)
B. (x + 14)(x − 3)
C. (x − 6)(x + 7)
D. (x − 14)(x + 3)
Answer:
The answer is A. (x+6)(x−7)
Step-by-step explanation:
I used a calculator.
Answer:
other person is right...
Step-by-step explanation:
its right on plato/edmentum though.
Easy Question, Easy Points
Topic: Volume
Focus on question 12
Answer:
V = 0.6 m.
Step-by-step explanation:
Volume = l x w x h
in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m
Please mark as brainliest :)
Answer:
V=.6m
Step-by-step explanation:
Please mark as brainliest
Which Venn diagram is NOT correct?
There is no picture how do I help
Can someone please help me on this?
Answer:
D just did it your welcome
Step-by-step explanation:
Which functions have real zeros at 1 and 4? Check all that apply.
Answer:
B, D
Step-by-step explanation:
These are the correct answers.
Answer:
B. f(x) = x2 – 5x + 4
D. f(x) = –2x2 + 10x – 8
Step-by-step explanation:
guy above me is right
The expression x2 – 12x + 36 factors to (x - )^2
Answer:
(x-6)^2
Step-by-step explanation:
x^2-12x+36
=(x-6)(x-6)
=(x-6)^2
What is the probability that the product of two dice is greater than
15 on two separate rolls?
Answer:
25/324
Step-by-step explanation:
Make a table of possible products:
[tex]\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&1&2&3&4&5&6\\2&2&4&6&8&10&12\\3&3&6&9&12&15&18\\4&4&8&12&16&20&24\\5&5&10&15&20&25&30\\6&6&12&18&24&30&36\end{array}\right][/tex]
Of the 36 results, 10 are greater than 15.
The probability the product is greater than 15 on a single roll is 10/36 = 5/18.
The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.