The quotient of −4 1/2 ÷ (−2 2/3) would be equal to 1 1/16 as a mixed number, in simplified form.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
Thus,
[tex]\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}[/tex]
We have been given that [tex]-4 \dfrac{1}{2}[/tex] ÷ (-[tex]2 \dfrac{2}{3}[/tex])
But first convert the mixed fraction into simple fraction
[tex]-4 \dfrac{1}{2}[/tex] = -9/2
(-[tex]2 \dfrac{2}{3}[/tex]) = -8/3
Thus, we have to divide the terms;
[tex]-4 \dfrac{1}{2}[/tex] ÷ (-[tex]2 \dfrac{2}{3}[/tex])
-9/2 ÷ -8/3
-9/2 x -3/8
27/ 16
In a mixed fraction; [tex]1\dfrac{1}{16}[/tex]
Hence, the quotient of −4 1/2 ÷ (−2 2/3) would be equal to 1 1/16 as a mixed number, in simplified form.
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Bills had enough to buy no more than 1/2 pound of cheese. How much cheese could he buy?
Bill can buy less than or equal to (≤) a 1/2 pound of cheese.
Hope this answers the question.
solve for w w- 8=32
answer choices
4
24
40
256
Mrs. Carothers is considering reserving a room at the Hotel Indigo for a trip to Fox Theater. Hotel Indigo charges $717 for a 3 night stay.
Mrs. Carothers looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and show your work
what is the answer to this including shown work?
what is the perimeter of the trapezoid graphed below?
To transport 228 people to an island island ferry make six different trips on each trip the ferry carries the same number of people how many people does the ferry transport on each trip
Answer:
38 people
Step-by-step explanation:
Given: To transport [tex]228[/tex] people to an island island ferry make six different trips on each trip the ferry carries the same number of people.
To Find: how many people does the ferry transport on each trip.
Solution:
Total number of people to be transported [tex]=228[/tex]
Total number of trips made by island ferry [tex]=6[/tex]
As ferry carries same number of people in each trip
number of people ferry transport in each ferry [tex]=\frac{\text{total number of people to be transported}}{\text{total number of ferries}}[/tex]
putting values,
[tex]=\frac{228}{6}[/tex]
[tex]38[/tex]
Hence number of people ferry transport in each island ferry is [tex]38[/tex].
Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.20 on
Write the steps for how to use a number line to multiply a 2 digit number by 20
Is 27 a percent square?
Section J in an arena has 20 rows. Each row has 15 seats. Our tickets cost $18 each. If all the seats are sold, how much money with the Arena collect the section J
In a poll, respondents were asked whether they had ever been in a car accident. 215 respondents indicated that they had been in a car accident and 449 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth, if necessary
The probability of getting someone who has been in a car accident will be 0.3238
Number of people that indicated that they had been in a car accident = 215 respondents
Number of people that said that they had not been in a car accident = 449
The probability of getting someone who has been in a car accident will then be calculated as:
= 215/664
= 0.3238
Therefore, the probability of getting someone who has been in a car accident will be 0.3238
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write the rule that applies to the following number:0÷7=0
What is the circumference and area of a circle with a radius of 4 meters? Round your answer to the nearest tenth. (Use 3.14 for Pi.)
Answer: Circumference = 25.1 meters.
Area = 50.2 square meter.
Step-by-step explanation:
The circumference of a circle is given by :-
[tex]C=2\pi r[/tex]
Area of circle is given by :-
[tex]A=\pi r^2[/tex], where r is the radius.
Given : Radius = 4 meters
Then circumference of the circle will be :-
[tex]C=2(3.14) (4)=25.12\approx25.1\text{ meters}[/tex]
Area of circle is given by :-
[tex]A=(3.14)(4)^2=50.24\approx50.2\text{ meters}^2[/tex]
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Δ ABC is isosceles. Angles B and C are congruent. If m∠B = (5x + 5)° and m∠C = (7x - 25)°, Find m∠A. A) 10° B) 15° C) 20° D) 80°
Answer:
option C
[tex]20\°[/tex]
Step-by-step explanation:
we know that
An isosceles triangle has two equal angles and two equal sides. The two equal angles are the base angles and the third angle is the vertex angle
In this problem the base angles are angle B and angle C
so
m∠B=m∠C
substitute
[tex](5x+5)\°=(7x-25)\°[/tex]
[tex](7x-5x)\°=(5+25)\°[/tex]
[tex]2x=30\°[/tex]
[tex]x=15\°[/tex]
m∠B=[tex](5x+5)\°=5*15+5=80\°[/tex]
Remember that the sum of the internal angles of the triangle is equal to [tex]180\°[/tex]
Find m∠A
m∠A=[tex]180\°-2*80\°=20\°[/tex]
ron has a 4 1/2 pound bag of beans. he wants to sell the beans in 2/3 pound bags. how many whole bags can he fill?
Henry invest 4500 at a compound interest rate of 5% per annum. At the end of n complete years the investment has grown to 5469.78. Find the value of n
The value of n is 4. This means that it took 4 years for the investment to grow to £5469.78.
How to calculate the value of nWe can use the compound interest formula to solve this problem:
A = P(1 + r/n)nt
where:
A is the future value of the investment
P is the principal amount invested
r is the annual interest rate
n is the number of times per year the interest is compounded
t is the number of years
In this problem, we have the following information:
A = 5469.78
P = 4500
r = 0.05 (5%)
n = ?
t = n
We can plug these values into the formula and solve for n:
5469.78 = 4500(1 + 0.05/n)n
1.2155066 = (1.05)n
n = 4
Therefore, the value of n is 4. This means that it took 4 years for the investment to grow to £5469.78.
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Find the equation of the tangent plane to (a) z = 4x 2 − y 2 + 2y at (−1, 2, 4)
Solve the system of equations using elimination. 2x + y = 9 8x – 2y = 6
If you know that a < b, and both a and b are positive numbers, then what must be true about the relationship between the opposites of these numbers? Explain.
Answer: just copy and paste
We want to find the relationship between the opposites of a and b, given that both are positive and a < b.
That relation is:
-a > -b.
Remeber that the opposite of a real number is just -1 times that number.
The opposite of a is: -a
The opposite of b is: -b
Remember that for negative numbers, the closer the number is to zero, the larger is the number.
Because we know that a and b are positive, and a < b, then we know that a is closer to zero.
So for -a and -b, we know that -a is also closer to zero (then -a is larger than -b), so the relationship between these two is:
-a > -b.
When a < b and both a and b are positive numbers, the opposites of these numbers will have opposite signs.
Explanation:In mathematical terms, when two positive numbers add, the answer has a positive sign. Similarly, when two negative numbers add, the answer has a negative sign. However, when a negative number is added to a positive number, the answer will depend on the magnitudes of the numbers:
If the positive number is greater than the negative number, the answer will have a positive sign.If the positive number is smaller than the negative number, the answer will have a negative sign.So, in the given scenario where a < b, if both a and b are positive numbers, the opposites of these numbers will have opposite signs.
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The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents the year.
Which is the best prediction for the number of new cases in year 15?
A. 194
B. 96
C. 328
D. 614
Answer: B 96
Step-by-step explanation:
By evaluating the function in x = 15, we will see that in the year 15 there will be 96 cases.
Which is the best prediction for the number of new cases in year 15?
The function that predicts the number of cases in the year x is given by:
[tex]y = -2x^2 + 36x + 6[/tex]
So we just need to evaluate that function in x = 15, this means replacing x by 15.
[tex]y = -2*15^2 + 36*15 + 6 = 96[/tex]
So we can expect that in the year 15, there will be around 96 cases. Then the correct option is B.
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Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
fill in the table using this function rule. y=-4x+2
x y
-1
0
1
2
To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.
To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.
For x = -1, substitute x = -1 into the equation: y = -4(-1) + 2
For x = 0, substitute x = 0 into the equation: y = -4(0) + 2
For x = 1, substitute x = 1 into the equation: y = -4(1) + 2
For x = 2, substitute x = 2 into the equation: y = -4(2) + 2
By evaluating the expressions, you will obtain the corresponding y-values for each x-value.
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A $15,000, 11%, 120-day note dated Sept. 3, is discounted on Nov. 11. Assuming a bank discount rate of 9%, the proceeds would be
a graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47.6 ml what is the volume of the granite piece in cubic centimeters?
The volume of the piece of granite is 6.1 cubic cm if the graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder, displacing the level to 47.6 ml.
What is volume?
It is defined as a three-dimensional space enclosed by an object or thing.
We have:
Volume of the water filled in the cylinder = 41.5 ml
Volume after placing the piece of granite = 47.6 ml
The volume of the piece of granite = 47.6 - 41.5 = 6.1 ml
As we know 1 ml = 1 cm³
The volume of the piece of granite = 6.1 cubic cm
Thus, the volume of the piece of granite is 6.1 cubic cm if the graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47.6 ml.
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At a certain college, the probability that a student attends full-time is 0.320 and the probability that the student attends part-time is 0.680. At the same college, the probability that a student receives financial aid is 0.570 while the probability that a student does not receive financial aid is 0.430. If a student is randomly selected, what is the probability that the student attends full-time and does not receive financial aid?
the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).
To find the probability that a student attends full-time and does not receive financial aid, we can use the multiplication rule for independent events.
Given:
- Probability of attending full-time: [tex]\( P(\text{full-time}) = 0.320 \)[/tex]
- Probability of not receiving financial aid:[tex]\( P(\text{no financial aid}) = 0.430 \)[/tex]
By the multiplication rule, the probability of both events occurring is the product of their individual probabilities:
[tex]\[ P(\text{full-time and no financial aid}) = P(\text{full-time}) \times P(\text{no financial aid}) \][/tex]
[tex]\[ = 0.320 \times 0.430 \][/tex]
[tex]\[ = 0.1376 \][/tex]
Therefore, the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).
On a map, 12 inch represents 45 mile.
What distance on the map represents 1 mile?
A 2/5 in.
B 5/8 in.
C 1 3/5 in.
D 2 1/2 in.
5/8 in.
i just took a test.
Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5
Answer:
coefficient = 80
The power of x = 3
The power of y = 4
Step-by-step explanation:
did the test on plato/edmentum and got it right
What is the amount of sales tax on a suit priced at $2977 if the sales tax rate is 4%?
Decrease £1280 by 60%
Which fraction is equal to 0.20%? 1/20 1/40 1/50 1/400 1/500