2 1/2 divided by 1 3/4
Answers
Answer:
10/7 or 1 3/7
Step-by-step explanation:
1. change from mixed fraction to improper fraction, 5/2 and 7/4
2. instead of the dividing the fractions as is, multiply the reciprocal which would be 5/2 multiplied by 4/7. Then you cross multiply. 2 into 2, 1 and 2 into 4, 2. So now you're left with 5 and 2/7 since 5/1 is basically 1.
3. simplify to just 10/7
Answer:
10/7 or 1 3/7
I took a test with that question.
Related Questions
Question 8
A scientist determines a plot of forest has a stable population of about 100 deer. Deer live in the interior of ecosystems. Then, a highway is built, splitting the forest into two plots of equal size.
After a couple of years, the scientist checks the number of deer in the two plots and finds the total population to be 60 deer.
Why did the carrying capacity of the habitat drop when the forest was split into two plots?
Select all that apply.
Responses
The two plots of forest have more edges than a single plot, causing a decrease in interior species. The two plots of forest have more edges than a single plot, causing a decrease in interior species.
The highway changed the climate of the region, making it less suitable for deer.The highway changed the climate of the region, making it less suitable for deer.
The two plots of forest provided more interior habitat for species other than deer. The two plots of forest provided more interior habitat for species other than deer.
The highway affected the growth of many plant species, which serve as food for the deer.
Question 9
A chicken-sized, flightless bird lives on an island in the middle of an ocean. The bird has some natural predators, which it avoids.
When people arrive at this island, they bring cats with them. Cats also hunt the bird.
What is the impact in the short term of bringing cats to the island?
Responses
The number of birds will remain the same.The number of birds will remain the same.
It is not possible to know whether there will be fewer or more birds.It is not possible to know whether there will be fewer or more birds.
There will be fewer birds.There will be fewer birds.
There will be more birds.
Answers
a) The highway affected the growth of many plant species, which serve as food for the deer. Option D
b) There will be fewer population of the birds. Option C
What is the carrying capacity?The carrying capacity of an ecosystem is the maximum number of individuals of a particular species that can be supported by the available resources in that ecosystem.
It is the point at which the population growth rate becomes zero, as the resources needed to sustain the population (such as food, water, and space) become limited. Carrying capacity can change over time due to factors such as climate change, pollution, and human activity.
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Given 2.2 <√5 <2.3, find the corresponding range for the value of each expression.
√5 +2
Answers
The range of the expression is: 4.2 < √5 + 2 < 4.3.
Explain the term range of the function?When a function is applied to its entire set of outputs, its range seems to be the set of outputs it produces. The range in the metaphor of the function machine refers to the collection of objects that really exit the machine after being fed all of its inputs.For the stated question;
2.2 < √5 <2.3 .....eq 1
To find the range of √5 +2.
2.2 + 2 < √5 + 2 <2.3 +2
4.2 < √5 + 2 < 4.3
Thus, the range of the expression is: 4.2 < √5 + 2 < 4.3.
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A block exerts a force of 84 Newtons on a table.
The pressure on the table is 30 N/m².
Work out the area of the box that is in contact with the table.
Total for question 5 is 2 marks)
pressure =
force
area
Answers
Answer:
2.8m²
Step-by-step explanation:
p = F / A
A = F / p
A = 84 / 30
A = 2.8m²
what is the value of 7 in the number 21,780
Answers
Answer:
It us in the hundreds place . Hope that helps !
classify the following set of measurements as accurate, precise, both, or neither. checking for consistency in the weight of chocolate chip cookies: 17.27 g, 13.05 g, 19.46 g, 16.92 g
Answers
The dimensions listed above are thus neither exact nor precise.
In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.
It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.
The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.
The dimensions listed above are thus neither exact nor precise.
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There are 1460 pupils in my school and 35 % are non-swimmers.
How many pupils can swim ?
Answers
Answer:
people who can swim = 1460 ÷ 100 × 35 = 14.6 × 35 = 511
Which method shows the two triangles are congruent?
A . SSS
B . SAS
C . ASA
D . AAA
Answers
Answer:
SAS
Step-by-step explanation:
It's the only answer that can satisfy with the figures
By B. SAS (side, angle, side) congruency theorem shows the two triangles are congruent
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The congruency theorem should always be consecutive angles or sides to the corresponding consecutive angles or sides.
Side PR and VS are congruent also m∠R and m∠V is similar and the sides VT and QR is also congruent.
Therefore, The congruency theorem that holds this is SAS.
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Which of the following terms refers to the whole amount to which the rate is applied?
Question 3 options:
Percentage
Term
Rate
Base
Answers
Hope this helps (:
The whole amount to which the rate is applied is called the base.
What do we mean by base?The base is the amount that is invested at a certain rate.
What do we mean by rate?The rate is the factor that is multiplied by the base to get the new amount.
What do we mean by the term?The term is the period in which the rate is multiplied by the base.
∴ We can see that the whole amount to which the rate is applied is known as the base.
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How many miles does he run in one year
Answers
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
Which correct variables describes the slope?
A.X/Y
B.Y/X
C.W/Z
D.Z/W
Answers
Answer:
c
Step-by-step explanation:
i took the test.
Are the 2 triangles congruent?
Answers
Answer:
ya they r
Step-by-step explanation:
Solve for x.
\(\mathrm{3^{2x}=11}\)
\(\sf[ Round\; to \;two \;decimal \;places\; as\; needed]\)
Answers
Step-by-step explanation:
3^2x = 11
we take the logarithm (to the base of 3) of both sides.
log3(3^2x) = log3(11)
2x = log3(11) = log(11)/log(3)
x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =
= 1.091329169... ≈ 1.09
Answer:
3^2x = 11
we take the logarithm (to the base of 3) of both sides.
log3(3^2x) = log3(11)
2x = log3(11) = log(11)/log(3)
x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =
= 1.091329169... ≈ 1.09
Step-by-step explanation:
If you spent $6.30 on seven pieces of candy. How much was each piece of candy???
Answers
Answer:
6.3/7 or $0.90
Step-by-step explanation:
6.30 = 7
6.3/7 = 1
0.9
Hope this helps!
Mandy owns a brick house in the suburbs worth $125,000, and the contents
of the house are valued at $35,000. Use the table below to calculate her
annual property insurance premium.
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
City 0.39 0.43 0.5 0.54 0.55
0 65
0.66 0.76
Suburb 0.45
0.52
0.56 0.63 0.72 0.74 0.83
0.85
Rural 0.6 0.69 0.71 0.8
0.89 0.91
1
1.02
A. $950.00
B. $744.50
C. $673.50
D. $706.50
Answers
Answer: I got $744.50. Hope this helps :)
The length of a rectangle of area 45 sq cm is 9 cm. What is its breadth ?
Answers
Answer:
breadth = 5 cm
Step-by-step explanation:
Area of a rectangle = length × breadth
breadth = Area of a rectangle / length
breadth = 45 cm²/ 9cm
breadth = 5 cm
Plz help me Plz this is 7th grade math
Answers
Answer:
d=90 e=99 f=81
Step-by-step explanation:
d is a right triangle so its a 90 degree, e is vertical angle so it would be the same as the one ajacent so its 99. F is a linear pair with e so its 81 because 180-99=81.
Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
Answers
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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utorial Exercise A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing (in m/min)
Answers
Step-by-step explanation:
volume of a cylinder is
ground area × height = pi×r²×h
r = 4
what we need to calculate is how high the water stands with one "serving" of 2m³.
that height is then added every minute (with the additional 2m³ during that minute).
so,
2 = pi×4²×h = pi×16×h
2/16 = 1/8 = pi×h
h = (1/8) / pi = 1/(8pi) = 0.039788736... m
that is rounded about 0.04 m or 4 cm.
therefore, the water rises by 0.04 m or 4 cm per minute
0.04m/min
hw to solve 6x-12/3+4=18/x
Answers
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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factor and solve if necessary
y-5y-36
Answers
Answer:
Step-by-step explanation:
-4(y+9)
Explain your answer to the question in the picture with steps please, thank you.
Answers
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Answers
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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What is the difference In -4-(-7)
Answers
Answer:
Step-by-step explanation:The Apple iPhone 7 has a 4.7-inch size display, while the iPhone 7 Plus has a 5.5-inch display. The standard iPhone 7 has a 1334 x 750 pixel resolution, while the Plus has a Full HD resolution meaning their pixel densities are 326ppi and 401ppi, respectively.
look at attachment!!!!
Answers
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
The number of significant figures in the measurement of 45.030 mm isa. noneb. fivec. six d three
Answers
the number of significant in 45.030 is five
answer: b
HELPPP ME PRECAL CLASS
Answers
the answer is g(x)= (x+6).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
from the given , we get,
f(x)=x^4
and, f(g(x))= (x+6)^4
hence, the answer is g(x)= (x+6).
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Hi, I'd be really thankful for a proper answer for this. Thank you!
Answers
1) The probabilities are given as follows:
a) More than 75: 0.0301 = 3.01%.
b) Between 60 and 73: 0.4484 = 44.84%.
c) Less than 50: 0.1057 = 10.57%.
2) The proportion of students who fail the module is of: 0.0062 = 0.62%.
3) The measures are given as follows:
Mode: 60.Median: 60.Variance: 64.How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation in this problem are given as follows:
\(\mu = 60, \sigma = 8\)
The probability that an score is more then 75 is one subtracted by the p-value of Z when X = 75, hence:
Z = (75 - 60)/8
Z = 1.88
Z = 1.88 has a p-value of 0.9699.
1 - 0.9699 = 0.0301 = 3.01%.
The probability of an score between 60 and 73 is the p-valeu of Z when X = 73 subtracted by the p-value of Z when X = 60, hence:
Z = (73 - 60)/8
Z = 1.63
Z = 1.63 has a p-value of 0.9484.
Z = (60 - 60)/8
Z = 0
Z = 0 has a p-value of 0.5.
Then:
0.9484 - 0.5 = 0.4484 = 44.84%.
The probability of an score less than 50 is the p-value of Z when X = 50, hence:
Z = (50 - 60)/8
Z = -1.25
Z = -1.25 has a p-value of 0.1057.
The proportion who might fail the test is the p-value of Z when X = 40, hence:
Z = (40 - 60)/8
Z = -2.5
Z = -2.5 has a p-value of 0.0062.
Then the statistical measures are obtained as follows:
Mode: 60. -> equals to mean.Median: 60. -> equals to mean.Variance: 64. -> standard deviation squared.More can be learned about the normal distribution at https://brainly.com/question/25800303
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Kallie works at a pet store. Part of her job is to add the correct amount of water conditioner to each fish tank the list below provides information about the number of fish tanks and the amount of water conditioner she uses.
1: there are 12 fish tanks that need water conditioner
2: Each fish tank is filled with 20 quarts of water
3: for every 10 gallon of water, Kallie uses 1 teaspoon of water conditioner
What is the total number of teaspoons of water conditioner kallie will use for all the water in 12 fish tanks?
Answers
Therefore, Kallie will need to use a total of 6 teaspoons of water conditioner for all the water in 12 fish tanks.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.
Here,
First, we need to determine the total amount of water in all 12 fish tanks. Since each fish tank is filled with 20 quarts of water, the total amount of water in all 12 fish tanks is:
12 fish tanks * 20 quarts per fish tank = 240 quarts of water
To convert quarts to gallons, we divide by 4 (since there are 4 quarts in a gallon):
240 quarts / 4 quarts per gallon = 60 gallons of water
Now, we can use the given conversion factor to determine how many teaspoons of water conditioner are needed for 60 gallons of water. Since for every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, for 60 gallons of water, she will use:
60 gallons / 10 gallons per teaspoon = 6 teaspoons of water conditioner
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A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?
Answers
The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters
What is measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.
Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.
Since we have 30 meters of fencing available, the total length of wire fencing used is:
L + 2W = 30 - W
Simplifying this equation, we get:
L = 30 - 3W
The area of the garden is:
A = LW
Substituting the expression for L from the previous equation, we get:
A = W(30 - 3W)
Expanding the expression, we get:
A = 30W - 3W²
To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:
dA/dW = 30 - 6W = 0
Solving for W, we get:
W = 5
Substituting this value back into the expression for L, we get:
L = 15
Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:
A = 5(15) = 75 square meters
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Brainliest if correct
Answers
Answer:
44% is shaded
Step-by-step explanation:
Having carefully counted, I find 44 of the squares shaded. I'm sure of it.
Answer:
Yes, the other is correct. The answer is 44%
Step-by-step explanation: