Answer:
Quotient given:
\frac{6-3 \sqrt[3]{6} }{ \sqrt[3]{9} }
Answer:
2 \sqrt[3]{3} - \sqrt[3]{18}
Explanation:
1) Rationalize by multiplying numerator and denominator by \sqrt[3]{9}
2)
\frac{6-3 \sqrt[3]{6} }{ \sqrt[3]{9} } \frac{\sqrt[3]{9}}{\sqrt[3]{9}}
3) Due the operations
\frac{6 \sqrt[3]{3}-3 \sqrt[3]{6.3}}{ \sqrt[3]{27} }
\frac{6 \sqrt[3]{3}-3 \sqrt[3]{6.3}}{ 3 }=2 \sqrt[3]{3} - \sqrt[3]{18}
Step-by-step explanation:
eleven times the quotient of a number and 3 minus 15
The number is [tex]\( \frac{45}{8} \).[/tex]
Let's denote the unknown number as x. The given expression can be translated into an equation:
[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 \][/tex]
To find the number, set up the equation and solve for x:
[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 = x \][/tex]
First, distribute the 11:
[tex]\[ \frac{11x}{3} - 15 = x \][/tex]
Next, move [tex]\( \frac{11x}{3} \)[/tex] to the other side of the equation by subtracting it from both sides:
[tex]\[ -15 = x - \frac{11x}{3} \][/tex]
To combine the terms on the right side, find a common denominator (3):
[tex]\[ -15 = \frac{3x}{3} - \frac{11x}{3} \][/tex]
[tex]\[ -15 = \frac{-8x}{3} \][/tex]
Now, solve for x:
[tex]\[ x = \frac{-15 \times 3}{-8} \][/tex]
[tex]\[ x = \frac{45}{8} \][/tex]
So, the number is [tex]\( \frac{45}{8} \).[/tex]
The probable question may be:
Eleven times the quotient of a number and 3 minus 15. Find the number?
A number that, when multiplied with another number, yields a result of 1 is called its multiplicative ____.
Answer:
multiplicative inverse
Step-by-step explanation:
A number that is multiplied by it's multiplicative inverse equals one.
A multiplicative inverse is also called a reciprocal.
Example:
1/7 is 7's multiplicative inverse.
[tex]\frac{7}{1} *\frac{1}{7} =\frac{7}{7} =1[/tex]
Answer:
inverse
Step-by-step explanation:
What’s the probability of getting 3 hearts out of a deck of 52?
Answer:
Probability breaks down to this basic formula:
desired outcome
total possible outcomes
Also, you need to know there are 13 spades in a deck of cards.
So, on your first draw, the chances of getting a spade are:
13 (desired outcome: pick one of the 13 spades)
52 (total possibilities: 52 cards in the deck)
But on your second draw, if you don't replace the card, your chances of getting a spade are:
12
51
because you only have 12 spades left, and 51 cards total.
Then, on your last draw, the chances of getting a spade are down to:
11
50
Since each of these probabilities depend on each other, you multiply them up to get your overall probability:
13 * 12 * 11 = 1,716
52 51 50 132,600
This reduces, or you can just divide to get a decimal.
Step-by-step explanation:
12) Melissa deposited $1,500.00 in an account that pays 6.5% interest compounded
quarterly. About what will the balance be in 7 years?
Equation:
A) $2,356.00
B) $937.00
C) $49,943.00
D) $21.00
Answer:
A) $2356.00
Step-by-step explanation:
Principal, p = $1,500.00
Interest rate, r= 6.5%
Period, t = 7 years
compounded quarterly therefore, n = 4
Amount, A = P( 1 + r/n)^ n*t
A = 1500 ( 1 + 0.065/4)^ 4*7
A = 1500( 1 + 0.016)^28
A = 1500 ( 1.016) ^28
A = 1500 * 1.57
A = $2356.00
Help please! Explain as well too please!
Answer:
abut 20.5 im sorry i dont quite know how to explain it
Step-by-step explanation:
PLZZZ HELP I WILL MARK BRAINIEST
Answer: 47.5 ft^2
Step-by-step explanation: First find the area of the rectangle using the formula length*height. This is 10*4 or 40.
Then find the area of the bottom triangle using the formula (base*height)/2. This will be (3*3)/2, which simplifies to 9/2, which is 4.5.
Then find the area of the top triangle using the same formula, which will be (2*3)/2, which simplifies to 6/2, which is 3.
Add all of these together. 40+3+4.5=47.5.
7. Which property of polynomials says that the sum of two polynomials is also a polynomial?
Answer:
Closure property
Step-by-step explanation:
The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.
For is
[tex] {x}^{2} + 2[/tex]
is a polynomial.
[tex]x - 2[/tex]
is also a polynomial.
The sum of the two polynomials is
[tex] {x}^{2} + 2 + x - 2 = {x}^{2} + x [/tex]
The result:
[tex] {x}^{2} + x[/tex]
is also a polynomial.
Answer number 5 plzzzzzzzzzzz
Answer:
4x^2 -16
Step-by-step explanation:
As with any "what must be added" problem, you subtract the parts you have from the result you want:
(3x^2 +4x +8) + (2x^2 -6x +3) + what = 9x^2 -2x -5
Identify the stuff on the left that is not "what" and subtract it from the equation:
what = (9x^2 -2x -5) - (3x^2 +4x +8) - (2x^2 -6x +3)
what = x^2(9 -3 -2) +x(-2 -4 +6) +(-5 -8 -3)
what = 4x^2 -16 . . . . . . . must be added to give the desired sum
Select the correct answer.
Why is it important to budget some money for entertainment?
A.
It is easier to stick to a budget if you can spend some money on things you enjoy.
B. Everyone should go to see a movie at least once a month.
C.
The entertainment category is a good place to save money each month for emergencies.
D. Society demands that we have access to entertainment,
Answer:a
Step-by-step explanation:
Tiffany used her debit card to buy lunch for $9.72 on Wednesday. On
Thursday, she deposited $9.72 back into her account. What is the overall
increase or decrease in her bank account?
Answer:
0
Step-by-step explanation:
she took the same amount of money out of her account as she put in.
Ellie bought two planks of wood that were each 4ft3in long and two planks of wood that were each 6ft5in long. What is the total length of the wood she purchased?
Answer:
21ft 4in
Step-by-step explanation:
4+4=8 3+3=6 8ft 6in
6+6=12 5+5=10 12ft 10in
8+12=20ft 10+6=16in
16-12=4 20+1=21
21ft 4in
What is the y-intercept of the function f(x)=4 – 5x?
–5
–4
4
5
Answer: 4
Answer:
(0,4)
Step-by-step explanation:
f(x)=4-5x
4-5(0)
5(0)=0
4-0=4
eight times a number plus 6 less than twice the number is 34
Answer: 4
Step-by-step explanation: 8 times 4 = 34
4 times 2 is 8 minus 6 is 2
32 + 2 = 34
hope this helps mark me brainliest if it did
The number that satisfies the condition 'eight times a number plus 6 less than twice the number is 34' is 4.
Explanation:This problem is a basic algebra problem. Here's how to solve it step by step:
First, let's denote the unknown number as x.According to the problem, 'eight times a number' can be written as 8x.'6 less than twice the number' is equivalent to 2x - 6.So, the full equation given is 8x + (2x - 6) = 34.Combine like terms on the left side, leading us to 10x - 6 = 34.Add 6 to both sides of the equation to isolate the terms with x, resulting in 10x = 40.Divide both sides by 10 to solve for x. Thus, x = 4.So, the number that satisfies the given condition is 4.
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Which BEST approximates the area of the geometric figure?
A 4 square units
B 7 square units
C 9 square units
D 11 square units
By decomposing the figure in simpler ones, we conclude that its area is 9 square units.
How to get the area of the figure?
Let's read the figure from the top.
First, we can see in the top two triangles that have an area of half a square unit, then adding these two we have one square unit.
Below that, there are 4 square units inside the figure.
On the left and right sides, there are triangles of base of 1 unit and height of 2 units, then each of these triangles has an area of:
a = 1*2/2 = 1 square unit
And we have 2 of these triangles, so the total area is 2 square units.
Finally, on the bottom we can see 4 triangles like in the top part, we know that each one of these measure 0.5 square units, then the 4 add up to 2 square units.
Adding all the areas above, we see that the total area is:
A = (1 + 4 + 2 + 2) square units = 9 square units.
So the correct option is C
If you want to learn more about area, you can read:
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On Monday 3/12 of the students went on a field trip. What fraction of the students did not go on the field trip?
3/4 of the students did not go on the field trip.
On Monday, 3/12 of the students went on a field trip.
To find out what fraction of the students did not go on the field trip, we need to subtract the fraction that went on the field trip from the whole student body, which is represented by the fraction 1 or 12/12.
Let's perform the subtraction step-by-step:
Convert 1 to a fraction with the same denominator as 3/12: 1 = 12/12Subtract 3/12 from 12/12: 12/12 - 3/12 = 9/12Simplify the fraction 9/12: 9/12 = 3/4Therefore, 3/4 of the students did not go on the field trip.
5. Solve the following equation for A : 2A/3 = 8 + 4A
A.-2.4
B. 2.4
C. 1.3
D. -1.3
E. O
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{2A}{3}[/tex] = 8 + 4A
Multiply through by 3 to clear the fraction
2A = 24 + 12A ( subtract 12A from both sides )
- 10A = 24 ( divide both sides by - 10 )
A = - 2.4 → A
In a class of 32 students, 4 students were absent on Monday. What percent
of the students were absent on Monday?
Answer:
12.5%
Step-by-step explanation:
Our of 32 students, 4 students were absent on Monday, which means to get the percentage, we divide 4 by 32 and then turn it to percentage, by multiplying by 100
4/32= 0.125
0.125X100
= 12.5%
Answer:
12.5% of the students were absent on Monday
Step-by-step explanation:
32 students = 100 students
16 students= 1/2 of the class
8 students= 1/4 of the class
4 students= 1/8 of the class
HELP
Find the measure of angle z in the following figure,
Answer:
B
Step-by-step explanation:
so you know that where it around angle c you use supplementry angels. this makes it 180-130=50.
you then know that the triangle is 90degrees plus 50 degrees plus x =180
90+50+z=180
140+z=180
z=40
Answer:
B) ∠z = 40°
Step-by-step explanation:
All three angles of a triangle add up to 180°. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.
If ∠ADC = 130° then:
180° - 130° = 50°
Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.
180° - 50° - 90° =
180° - 140° = 40°
~Hope this helps!~
33. Farmer Deanna looks out her window and counts a total of 64 legs on a total of 20 animals. If she has only
sheep and chickens, how many of each does she have? (Hint: Sheep have 4 legs each and chickens 2 legs each.
Answer:
12 sheep
8 chickens
Step-by-step explanation:
x+y=20, x=number of sheep and y=number of chickens
4x+2y=64. (Total number of legs)
Solve the system algebraically or graphically.
1. Multiply the top equation by -2 then add the equations together to solve for x.
Or
1. Solve for y in the top equation and substitute that for y in the second equation.
Then
2. Put x into either equation to solve for y.
Christopher walks 15 miles in 5 hours . At this rate , how many miles does he walk in 10 hours
Answer:
30 miles
Step-by-step explanation:
First divide 15 and 5 because you need to know how much he did in a hour
Next multiple it by 10
A slice is made perpendicular to the base of a right rectangular prism, as shown.
What is the area of the resulting two-dimensional cross-section?
168, 280, 140, 20, and 240 are the options given
Answer:
3212333222555321233322321
Step-by-step explanation:
Answer:
B. 280
Step-by-step explanation:
The dimensions of the cross sections would be:
Base = 14
Height = 20
Find the area:
14 × 20 = 280
Of the 140 pages in a book, 25% of them have illustration. How many pages have illustration?
What is the answer? Please! ill mark brainliest!
The base of the glass house to the right is a rectangle. What’s the perimeter of the base of the house?
Final answer:
The perimeter of a rectangle is found by adding up the lengths of all its sides.
Explanation:
The perimeter of a rectangle is found by adding up the lengths of all its sides. In this case, the base of the glass house is a rectangle.
Let's say the length of the base is 12 meters and the width is 8 meters. To find the perimeter, we add up the lengths of all four sides: 12 + 8 + 12 + 8 = 40 meters.
Need help asppppppppppppp!!!!!!!!
Answer:
40
Step-by-step explanation:
72-32=40
Help me with this math question please.
Answer:
No
Step-by-step explanation:
Write the ratios of erasers to cost (dropping the dollar sign) as fractions:
(number of erasers)/(price): 2/1 and 10/4
The question is if the ratios 2/1 and 10/4 are equivalent.
2/1 = 2
10/4 = 2.5
A proportion is setting two ratios equal. Here, one ratio equals 2, and one ratio equals 2.5.
Since the ratios are not equivalent, the relation is not proportional.
What is the domain of the values shown on the table? What does the domain represent?
A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used.
B) D: {0 ≤ y ≤ 360}; The domain represents the amount of gas used.
C) D: {0 < x < 12}; The domain represents the number of miles the car can travel.
D) D: {0 < y < 360}; The domain represents the number of miles the car can travel.
Answer:
Option A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used
Step-by-step explanation:
Let
x ----> number of gallons used (independent variable)
y ---> number of miles remaining (dependent variable)
we know that
The domain of a function is the set of all possible values of x
so
The domain represents the amount of gas used
D: {0 ≤ x ≤ 12}
what is x+3(x-2)-6 simplified?
Answer:
4x-12
Step-by-step explanation:
x+3x-6-6
4x-6-6
4x-12
Answer: 3
Step-by-step explanation:
x + 3( x - 2) - 6 = 0
x + 3x - 6 - 6 = 0
4x - 12 = 0
4x = 12
dividing both sides by 4
x = 12/ 4
x = 3
Which describes the pedestrian crossing sign shown?
Answer:
i do not have he info needed
Step-by-step explanation:
Answer:it’s b
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!
A car dealership sells a car in a basic model (b) the fully-loaded model (f) for $20,000 and $25,000 respectively. During the month of June, the dealership sells 40 of these cars with sales totaling $880,000. How many of each model does the dealership sell?
A) 10 fully loaded and 20 basic
B) 16 fully loaded and 24 basic
C) 26 fully loaded and 9 basic
D) 30 fully loaded and 12 basic
Answer:
b
Step-by-step explanation:
The car dealership sold 24 basic model cars and 16 fully-loaded model cars. This was determined by creating and solving a set of linear equations based on the given information.
Explanation:This question can be approached using the method of linear equations. We know that the total number of cars sold is 40 and the total sales is $880,000. We can represent the number of basic model cars as 'b' and the fully-loaded model cars as 'f'. The cost of a basic model car is $20,000 and for a fully-loaded model, it is $25,000. Therefore, we can establish two equations:
b + f = 40 (number of cars sold) 20000b + 25000f = 880000 (total cost)
The system of these linear equations could be solved either by Substitution or Elimination method. Through careful calculation, it can be found that the answer is b=24 (basic models) and f=16 (fully-loaded models).
So, the correct answer is Option B : The dealership sold 16 fully loaded models and 24 basic models.
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