Answers
Answer:
153/20
Step-by-step explanation:
We want to have the mixed fraction turned into a improper fraction to make adding them both easier. We would change 5 2/8 to 42/8 and 2 4/10 to 24/10.
We now need to get them a common denominator. The LCM (least common multiple) of 8 and 10 is 40, so we multiply 42/8 by 5/5 getting us 210/40 and 24/10 by 4/4 to get 96/40.
Finally, we add them then simplify. 96/40 + 210/40 is 306/40. We then simplify that to 153/20.
Related Questions
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Answers
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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Kevin weighed 200 pounds when he started his diet and lost 40 pounds. What percent of his original weight did
Kevin lose?
A : 40%
B: 50%
C : 20%
D: 30%
Answers
Answer:
20%?
Step-by-step explanation:
Answer:
C 20%
Step-by-step explanation:
if you where to devide in half you would get 100 pounds and 20 lost from there 20 is 20% of 100
Solve the following inequality then place the correct answer in the box provided 8x-1<15
Answers
\(8x - 1 < 15 \\ 8x < 15 + 1 \\ 8x < 16 \\ x < \frac{16}{8} \\ x < 2\)
Answer:
As Per Given Information
The given equation is 8x-1 <15
Adding both side 1 we obtain
↝ 8x - 1 + 1 < 15 + 1
↝ 8x < 16
Now dividing both side by 8 we obtain
↝ x < 2
So, the required answer is x < 2.
What is the volume of the triangular prism?
please help!! quickly its a test a look at the picture
7th grade math
Answers
The area of the triangle is:
A = (base•height) : 2 = (3•2) : 2 = 3 m2
So the volume is:
V = 3 • 8 = 24 m3
A sample of 311 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.
Answers
Answer: 0.07
Step-by-step explanation:
To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.
Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.
The total sample size is given as 311.
Therefore, the relative frequency can be calculated as:
Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)
= 21 / 311
≈ 0.0676
Rounded to two decimal places, the relative frequency is approximately 0.07.
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?
Answers
Answer:
\(\text{For topic A }:0.99\\\text{For Topic B}: 0.6875\)
Step-by-step explanation:
Topic A: Two books are ordered
Topic B: Four books are ordered
Let X= number of books arrived
The probability that a book actually arrives in time is 0.9
i.e., p=0.9
For Topic A:
\(P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99\)
For Topic B:
\(P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875\)
Find the slope of the line passing through the points (5,6) and (5,-4).
Answers
Answer:
subtract -4-6/5-5
Step-by-step explanation:
Answer is no solution
What is 56/15 as a decimal rounded to the nearest tenth
Answers
Answer:
3.73
Step-by-step explanation:
56/15
3 11/15
3.73
3.733333... —————> 3.7
Assume the average nightly payroll for a city’s downtown restaurants on the weekend is $2200 with a standard deviation of $300. The distribution has a bell-shaped curve. A manager wants to be 99% sure he has this cost covered for the next four weeks and puts away $10,000. Will he have enough? Use your z-score formula result to justify your answer. Please respond with the dollar amount and round to the nearest dollar.
Hint: Round your z-value to the hundredths place and direction of the graph will matter.
Answers
Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.
To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.
The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:
Weekly Payroll = Nightly Payroll * Number of Nights in a Week
= $2200 * 7
= $15,400
To calculate the total cost for four weeks, we multiply the weekly payroll by four:
Total Cost for Four Weeks = Weekly Payroll * Number of Weeks
= $15,400 * 4
= $61,600
Now, let's calculate the z-score using the formula:
z = (X - μ) / σ
Where:
X = Total Cost for Four Weeks
μ = Mean of the distribution
σ = Standard deviation of the distribution
z = ($61,600 - $2200) / $300
z = $59,400 / $300
z ≈ 198
To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.
For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.
Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.
Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.
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Write the following ratio as a fraction in lowest terms:
4.4 g to 1.2 pounds
Answers
Answer:
3 2/3
Step-by-step explanation:
Hope this is right
Answer: 3 2/3
Step-by-step explanation:
If angle C is a right angle and angle A equals 50º, then prove that the measure of angle B equals 40º. Which of the following would be the first step to assume in order to prove the statement above by contradiction using an indirect proof?
The measure of angle B equals 40º.
Angle C is not a right angle.
The measure of angle A equals 50º.
Angle C is a right angle.
The measure of angle B does not equal 40º.
Answers
The first step would be to assume that "the measure of angle B does not equal 40º".
Which would be the first step to prove the contradiction using an indirect proof?The first step to assume in order to prove the statement above by contradiction using an indirect proof would be to assume the opposite of what you are trying to prove.
In this case, the opposite of the statement "the measure of angle B equals 40º" is "the measure of angle B does not equal 40º".
So, the first step would be to assume that "the measure of angle B does not equal 40º".
This assumption will be used to reach a contradiction, which will ultimately prove that the original statement is true.
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find two whole numbers that are closest to v42. explain your reasoning
Answers
Answer:
The numbers are 6 and 7.
Step-by-step explanation:
4² = 16
5² = 25
6² = 36
7² = 49
√36 = 6
√42 = ?
√49 = 7
The numbers are 6 and 7.
please help i’m begging you i’ll give brainlu
Answers
Answer:
3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00
Find the distance between points A = (2, 0) and
B= (0, 9). Round your answer to the nearest tenth.
Show your work
Answers
Answer:
9.2
Step-by-step explanation:
You want the distance between A(2, 0) and B(0, 9).
DistanceThe distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, this becomes ...
d = √((0 -2)² +(9 -0)²) = √(4+81) = √85
d ≈ 9.2
The distance between A and B is about 9.2 units.
A line passes through the points (-1,4) and (4,-2). Find the equation of the line in slope intercept form.
Answers
Answer:
Your Answer mark me as brainlist
Step-by-step explanation:
slope = "rise over run" the difference in y values divided by the difference in x values
= 6/-3 = -2 = m. It's negative because as x increases, y decreases
plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)
y+2 = -2(x-2)
simply if you want
Y = -2x +4 -2 = -2x +2
or
2x +y = 2
Does anyone know the answer to this ?
Answers
Answer:
Region D
Step-by-step explanation:
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Negative association
Positive association
Nonlinear association
Answers
But in this case, it’s more exponential
Negative: start high - goes lower
Positive: start lower - goes higher
Solution: non-linear and negative
Help with this, thank you
Answers
The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
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29. Assertion :7√5, √2+21 are the irrational number. Reason: every integer is an rational number 30.
Answers
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.
An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.
In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.
Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.
The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.
In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.
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A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answers
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
What is the area of the circle? Approximate using pi equals 22 over 7 and round to the nearest square yard.
a circle with radius labeled 61 yards
a. 383 square yards
b. 192 square yards
c. 23,389 square yards
d. 11,695 square yards
help
Answers
Answer:
≈ 11695 yd^2
The answer d
Step-by-step explanation:
Given:
r = 61 yd
\(\pi = \frac{22}{7} \)
Find: a - ?
\(a = \pi \times {r}^{2} = \frac{22}{7} \times {61}^{2} ≈ 11695\)
Latoya drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 216 miles?
Answers
Answer:
8.1 gallons of gas
Answer:
8.10 or 8
Step-by-step explanation:
you divide the miles with how many tanks of gas was used to find how much 1 gallon can take you.
240/9=26.66
now that you know how much 1 gallon of gas can take you you have to divide 216 by 26.66 to find how many gallons you would need
216/26=8.10
Challenge In a company, 95% of the workers are women. If 100 people work for the company who
aren't women, how many workers are there in all?
Answers
Answer:
The answer will be, 105.26
Help
Please please send this to me
Answers
Is the correct answer
From
What is 1.004 in scientific Notation?
Answers
Answer:
1.004 written as scientific notation is 1.004 × 10 to the power of 0
Step-by-step explanation:
Answer:
1.004 in scientific notation is 1.004 × 10^0
Step-by-step explanation:
You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
Answers
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
its urgent .have an exam tomorrow .pls help
Answers
How do I solve this question?
Answers
Answer:
The correct answer is given by option a.
Step-by-step explanation:
Rational roots theorem:
In the rational roots theorem, we take the leading coefficient(which multiplies the term of x with the highest exponent) and the independent term(which does not multiply any value of x).
The possible roots have the format p/q, in which p are the factors of the independent term, and q are the factors of the leading coefficient.
In this question:
Leading coefficient: 3
Independent term: 15
Factors of the independent term: {1, 3, 5, 15} -> p
Factors of the leading coefficient: {1,3} -> q
Possible roots:
All possible values, positive or negative, in which p is divided by q. So
\(\pm \frac{1}{1}, \pm \frac{1}{3}, \pm \frac{3}{1}, \pm \frac{3}{3}, \pm \frac{5}{1}, \pm \frac{5}{3}, \pm \frac{15}{1}, \pm \frac{15}{3}\)
So, without the repeated terms, they are:
\(\pm \frac{1}{3}, \pm \frac{5}{3}, \pm 1, \pm 3, \pm 5, \pm 15\)
The correct answer is given by option a.
3x +21 6x-60 find the value of x 25 26 27 28 will.mark brainest
Answers
Answer:
Heloo
Step-by-step explanation:
Simplifying
3x + 21 = 6x + -60
Reorder the terms:
21 + 3x = 6x + -60
Reorder the terms:
21 + 3x = -60 + 6x
Solving
21 + 3x = -60 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
21 + 3x + -6x = -60 + 6x + -6x
Combine like terms: 3x + -6x = -3x
21 + -3x = -60 + 6x + -6x
Combine like terms: 6x + -6x = 0
21 + -3x = -60 + 0
21 + -3x = -60
Add '-21' to each side of the equation.
21 + -21 + -3x = -60 + -21
Combine like terms: 21 + -21 = 0
0 + -3x = -60 + -21
-3x = -60 + -21
Combine like terms: -60 + -21 = -81
-3x = -81
Divide each side by '-3'.
x = 27
Simplifying
x = 27
Answer:
x = 27Step-by-step explanation:
3x + 21 = 6x - 60
3x - 6x = -60 - 21
-3x = -81
x = 27
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation: