If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.
the quantity of 3 times a all over b
b over the quantity 3 times a
3 over the quantity a times b
3ab
Answer:
Option the quantity of [tex]3[/tex] times a all over b
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
where
L is the length side of rectangle
W is the width side of rectangle
In this problem we have
[tex]A=24a^{2}b\ units^{2}[/tex]
[tex]L=8ab^{2}\ units[/tex]
Remember that
[tex]W=\frac{A}{L}[/tex]
substitute
[tex]W=\frac{24a^{2}b}{8ab^{2}}=\frac{3a}{b}\ units[/tex]
What is 25 degrees lower than 57
According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?
Answer:
3
Step-by-step explanation:
explain how complex fractions can be used to solve problems involving ratios
solve the system of equations using elimination. 3p+9q=6 5p-5q=30
Mr. Wilson has 3000 in his bacon count Mrs. Nelson has 10 times as much money in her bank account as Mr. Wilson has in his big and count how much money does Mrs. Nelson have in her bank account
what else would you need yo show that ABC DEF by ASA APEX ?
If trap is an isosceles trapezoid, what is the value of x
Answer:
Option E ⇒ x = 19
Step-by-step explanation:
See the attached figure.
TRAP is an isosceles trapezoid
The shown angles are supplementary angles
So, the sum of (5x+9) and (4x) is 180
So, 5x+9 + 4x = 180
solve for x
9x + 9 = 180
9x = 180-9 = 171
x = 171/9 = 19
The answer is option E
An amusement park sells child and adult tickets at a ratio of 8 to 1. On Saturday they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child? (5 points)
6 over 15 multiplied by 2 over 14 is equal to 12 over 210
6 over 15 plus 2 over 14 is equal to 114 over 210
6 over 15 multiplied by 2 over 15 is equal to 12 over 225
6 over 15 plus 2 over 15 is equal to 8 over 15
2+6+7 = 15 total cakes
6 pineapple so probability is 6/15
then there would be 14 cakes
2 strawberry for a probability of 2/14
6/15 x 2/14 = 12/210
the first answer is the right one
Answer:
[tex]\frac{12}{210}[/tex]
Step-by-step explanation:
Strawberry cakes = 2
Pineapple cakes = 6
Chocolate cakes = 7
Total cakes = 15
Now we are given that Vincent selects a cake randomly without looking, and he will give a pineapple cake to the first child
So, probability of getting a pine apple cake in first draw = [tex]\frac{\text{No. of pineapple cakes}}{\text{Total no. of cakes}}[/tex]
= [tex]\frac{6}{15}[/tex]
Now total no. of remaining cakes = 15-1 =14
Now we are given that Vincent selects a cake randomly without looking, and he will give a strawberry cake to the second child
So, So, probability of getting a strawberry cake in second draw= [tex]\frac{2}{14}[/tex]
So, the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child = [tex]\frac{6}{15} \times\frac{2}{14} [/tex]
= [tex]\frac{12}{210}[/tex]
Hence Option A is true.
The probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child is [tex]\frac{12}{210}[/tex]
8x-12y=84 into slope intercept form
it is a fraction. it is greater than 0.5 and less than 0.9. its denominator is a square number.its numerator number is a prime number. what could be the mystery number be?
Fraction with numerator as prime number and denominator as a square number between 0.5 and 0.9 is equals to 7/9.
What is fraction?"Fraction is defined as the part of whole number divided into equal parts."
According to the question,
'x / y' represents the required fraction
'x' represents numerator of the given fraction
'y' represents denominator of the given fraction
Condition given,
0.5 < ( x / y) < 0.9
Denominator is squared number
Numerator is a prime number
(5 / 10) < ( 6 / 10) <( 7 / 10) < (7 / 9)< ( 9 / 10)
Hence, required fraction as per condition is ( 7 / 9).
Learn more about fraction here
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Line A: 2x + 2y = 8 Line B: x + y = 4 Which statement is true about the solution to the set of equations? It is (8, 4). It is (4, 8). There is no solution. There are infinitely many solutions.
You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. The basement has the dimensions shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?
How do you turn 1/8 into a fraction
explain the place value relationship when the same two digits are next to each other in a multidigit number
91 more than the square of a number in verbal form
the diagram show a straight line ABC . Find the value of p
A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
193.8 cubic inches (in3)
2325.6 cubic inches (in3)
1.35 cubic inches (in3)
16.15 cubic inches (in3)
If you triple 4 and subtract 2 each day, how many days until you have zero?* 2 6 8 12
triple 4 = 4x3 = 12
divide 12 by 2: 12/2 =6
it will take 6 days
In which situation is the distance traveled proportional to time?
A car moving in stop-and-go traffic
A person biking on a trail at 12
miles per hour for 20
minutes
A baseball hit to center field
A race car slowing down after crossing the finish line
Answer: a person on a trail at 12 miles per hour for 20 minutes
Step-by-step explanation:
just go it right!!!
In a rain forest, it typically rains 290 days out of the year. If it rains today, what is the probability that it will rain tomorrow?
a. 72%
b. 81%
c. 79%
d. 61%
The tickets in a box are numbered from 1 to 20 inclusive. If a ticket is drawn at random and replaced, and then a second ticket is drawn at random, what is the probability that the sum of their numbers is even?
Answer:
1/2
Step-by-step explanation:
no guarantees but the guy before me said 10/20 and of course if you divide 10 and 20 you get 0.5, and 0.5 is equal to 1/2.
FIRST CORRECT ANSWER GETS BRAINLIEST!
how long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2
A caters fee is based on the number of meals she provides. How much is the price per meal if the total fee is $1,088 for 64 meals?
6x + 2y = 12 solve for y
What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32
Answer:
Option (d) is correct.
[tex]\sqrt{10000x^{64}}=100x^{32}[/tex]
Step-by-step explanation:
Given : Expression [tex]\sqrt{10000x^{64}}[/tex]
We have to write a simplified form of the given expression [tex]\sqrt{10000x^{64}}[/tex]
Consider the given expression [tex]\sqrt{10000x^{64}}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{10000}\sqrt{x^{64}}[/tex]
Factor 10000 as [tex]10000=100^2[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]\sqrt{100^2}=100[/tex]
also, [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
We have,
[tex]\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}[/tex]
Thus, [tex]\sqrt{10000x^{64}}=100x^{32}[/tex]
Answer: D. 100x32
Step-by-step explanation:
Solve the equation for 10 points
6x+7=8x−15
The cruise control feature on a car is set to maintain a speed of 65 miles per hour. The car’s actual speed never varies by more than three mph. Select the inequality that represents the speed of the car while cruise control is being used.
Final answer:
The inequality that represents the speed of the car while cruise control is being used is 62 ≤ s ≤ 68, where s is the car's speed and it shows the car's speed will be at least 62 mph and at most 68 mph.
Explanation:
The cruise control feature on a car is designed to maintain a steady speed, in this case, 65 miles per hour. However, it is acknowledged that the car's actual speed can fluctuate slightly. The question asks for an inequality that represents the potential speed of the car while cruise control is in use.
Considering the car's speed can vary by up to 3 mph more or less than the cruise control setting, we can set up an inequality to describe this range of speeds. The car's speed (s) should be no more than 3 mph above 65 mph and no less than 3 mph below 65 mph. Therefore, the inequality that represents the speed s of the car would be:
62 ≤ s ≤ 68
This inequality shows that the car's speed will be at least 62 mph and at most 68 mph, encompassing the 3 mph range of variation allowed by the cruise control setting.