The area of the rectangular base of his friend's tank is 468.75 square inches. So, Option D is correct.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
One of Julian's friends also has a rectangular aquarium.
The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.
Let x be the length of Julian's tank.
Let y be the width of Julian's tank.
So, the Area of Julian's tank = length × Width
= xy
Since we are given
300 = xy
Now we are given that the dimensions of his friend's tank are each exactly times the dimensions of Julian's tank.
So, the length of his friend's tank = 5/4 x
So, the width of his friend's tank = 5/4 y
So, Area of his friend's tank = ( 5/4 x) (5/4 y)
= 25 / 16 xy
= 25 / 16 (300)
= 468.75
Hence the area of the rectangular base of his friend's tank is 468.75 square inches.
So, Option D is correct.
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a Watch help video
The table displays
the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
2
75
8
80
6
85
9
90
7
95
6
all sum num/n
65+1+70+2+75+8+80+6+85+9+90+7+95+6/14
599/14
mean=42.7
In Fig. R6, O is the centre of the circle and ABC = 140°. Find y. A 20° B B 70° C 80° D 240° E 280° 70° B 140° C A Fig. R6
Answer:
(C). 80 °
Step-by-step explanation:
Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack. What kind of sequence is this?
Answer:
Subtracting 7
Step-by-step explanation:
Given:
Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack.
To Find:
What kind of sequence is this?
Solve:
Let's make a table:
[1 stack] 45
[2 stack] 38
[3 stack] 31
[4 stack] 24
Now all we have to do is subtract to see what each is:
45 - 38 = 7
38 - 31 = 7
31 - 24 = 7
Thus,
[1 stack] 45 ⇒ 7
[2 stack] 38 ⇒ 7
[3 stack] 31 ⇒ 7
[4 stack] 24 ⇒ 7
Hence, each stack is going down by 7.
Kavinsky
What is the solution for the equation 6x -8 = 4x
Step-by-step explanation:
6x - 8 = 4x
6x- 4x = 8
2x = 8
x = 8/2
x = 4
[tex]...[/tex]
Answer: x=4
Step-by-step explanation:
6x-8=4x subtract 4x from both sides
-4x -4x
2x-8=0 isolate x by adding 8 on both sides
+8 +8
2x=8 divide by 2 on both sides
/2 /2
x=4
A survey was given to adult residents in a particular city. It found that 22% of the residents regularly use public transportation, and 85% of the residents have the ability to drive. 14% of the residents regularly use public transportation AND have the ability to drive. Find the probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive. Round to the nearest hundredth.
The probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be 93%.
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
[tex]\rm n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
A survey was given to adult residents in a particular city.
It found that 22% of the residents regularly use public transportation, and 85% of the residents have the ability to drive.
14% of the residents regularly use public transportation AND have the ability to drive.
Let P(A) be the probability of the adults that uses public transportation regularly and P(B) be the probability of the adults that has the ability to derive.
Then the probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be
n(A) = 0.22
n(B) = 0.80
n(A∪B) = 0.14
Then we have
[tex]n(A \cap B) = 0.22 + 0.85 - 0.14\\\\n(A \cap B) = 0.93\\\\n(A \cap B) = 93\%[/tex]
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In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the best estimate of the number of passengers?
0 8 x 10"
O 8 x 10°
O 9 x 10
O 9 x 10'
Answer:
It is D 9 x 10
Step-by-step explanation:
Black bird starts his flight path from (2, 0). his flight path reaches a maximum height of 20 yards and lands at point (38, 0).
The maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The blackbird starts his flight path from (2, 0). His flight path reaches a maximum height of 20 yards and lands at point (38, 0).
Here the bird path will be a parabola with a maximum height of 20 yards.
The total horizontal distance traveled by the bird = The distance between the points (2, 0) and (38, 0)
= √(38-2)²
= 36 yards
Thus, the maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
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A mug has a diameter of 9 centimeters and a height of 11 centimeters.
Which of the following is the closest to the volume of the mug?
Answer: g
Step-by-step explanation:
4 pencils and 3 crayons are 20.7 inches. 5 pencils and 4 crayons are 26.4 inches. Each pencil is the same length as the other pencils, and each crayon is the same length as the other crayons. What is the length of 1 pencil? What is the length of 1 crayon?
Call the pencils x, the crayons y.
4x + 3y = 20.7 inches -> 16x + 12y = 82.8 inches.
5x + 4y = 26.4 inches -> 15x + 12y = 79.2 inches.
We minus the top one from the bottom -> x = 82.8 - 79.2 = 3.6 inches
Replace back : 4 x 3.6 + 3y = 20.7
14.4 + 3y = 20.7
3y = 6.3
y = 2.1
So, the length of 1 pencil is 3.6 inches, the length of 1 crayon is 2.1 inches
Recheck : 4 pencils and 3 crayons = 3.6 x 4 + 2.1 x 3 = 14.4 + 6.3 = 20.7
5 pencils and 4 crayons = 3.6 x 5 + 2.1 x 4 = 18 + 8.4 = 26.4
express the following in standard form 178000000
Answer:
1.78 × 10^8
Hope it helps you...
Eliza reads 1/7 of her book on Monday. On Tuesday and Wednesday combined, she reads three times as much as she reads on Monday. The expression 1/7r + 3(1/7r) can be used to determine the number of pages Eliza reads on Monday, Tuesday, and Wednesday combined. The variable r represents the total number of pages in the book.
Answer:
city breaking down on the camel's back
Step-by-step explanation:
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the
equation.
If y varies inversely with x, and for y = 1, x = 3, find y when x = 9
a. y(x) - 3x; y(9) - 27
c.
3
; 29.
(9) --
b.
d.
ya
2(x) = 5; (9) - 3
y()-
y(9)
3x
27
Please select the best answer from the choices provided
OA
>
B
Answer:
please see analysis
step by step explanation
[tex]if \: y \: varies \: inversely \: as \: \: as \: x \ \: meanc \\ y = \frac{k}{x} \\ where \: y = 1 \: \: x = 3 \\ 1 = \frac{k}{3} \\ k = 3 \times 1 = 3 \\ equation \: connecting \: x \: and \: y \\ y = \frac{3}{x} \\ finding \: y \: when \: x = 9 \\ y = \frac{3}{9} \\ y = \frac{1}{3} [/tex]
Out of 106 total sophomores, there were forty-eight boys who received either an A, B, or C on their first math test. Out of the twenty-eight total A’s, sixteen girls received A’s. Out of the total fifty-four B’s, thirty girls received B’s. Twelve boys received a C out of the twenty-four total C’s on the test. Which two-way table represents this information? A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 44, 28, 16. The third column is labeled B with entries 84, 54, 30. The fourth column is labeled C with entries 24, 12, 12. The fifth column is labeled Total with entries 106, 58, 48. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 12, 16, 28. The third column is labeled B with entries 24, 30, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 48, 58, 106. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 16, 12, 28. The third column is labeled B with entries 30, 24, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 58, 48, 106.
Answer:
the 2nd chart. chart B.
Step-by-step explanation:
edge 2022
The two-way table with 5 columns and 3 rows, where the first column is labeled Boys, girls, total, and the entries in the columns match the ones in the second option.
Option B is the correct answer.
What is the two-way table?A two-way table is a table used to display the frequency distribution of two categorical variables.
It is also called a contingency table because it helps to examine the relationship between two variables, to see if they are dependent or independent.
We have,
A 5-column table has 3 rows.
The first column has entries Boys, girls, total.
The second column is labeled A with entries 12, 16, 28.
The third column is labeled B with entries 24, 30, 54.
The fourth column is labeled C with entries 12, 12, 24.
The fifth column is labeled Total with entries 48, 58, 106, represents the given information.
To understand why this is the correct two-way table, let's go through each row and column of the table:
The first row of the table shows the number of boys and girls who took the test, as well as the total number of students.
We are told that there are 106 total sophomores, so the entry in the "total" column is 106.
We are also told that there are 48 boys who received an A, B, or C on the test, so the entry in the "total" column for boys is 48.
Subtracting this from the total number of students gives us the number of girls:
106 - 48 = 58.
The second row of the table shows the number of students who received an A on the test.
We are told that there are 28 total A's, and out of those, 16 were received by girls.
This means that 28 - 16 = 12 A's were received by boys.
Therefore, the entries in the "A" column are 12 for boys and 16 for girls, which matches the table.
The third row of the table shows the number of students who received a B on the test.
We are told that there are 54 total B's, and out of those, 30 were received by girls.
This means that 54 - 30 = 24 B's were received by boys.
Therefore, the entries in the "B" column are 24 for boys and 30 for girls, which matches the table.
The fourth row of the table shows the number of students who received a C on the test.
We are told that there are 24 total C's, and out of those, 12 were received by boys.
This means that 24 - 12 = 12 C's were received by girls.
Therefore, the entries in the "C" column are 12 for boys and 12 for girls, which matches the table.
Thus,
The two-way table with 5 columns and 3 rows, where the first column is labeled Boys, girls, total, and the entries in the columns match the ones in the second option.
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I have no idea what this is can someone please help
5x-x/z when x=4 and y=2
did you mean 5x-x/y?
if so:
5×4-4/2
=20-2
=18
Helium decays to form lithium. 6 2 he → 6 3 li 0 -1 e this type of nuclear decay is called .
To understand this question, we need some knowledge on radioactive decay. This type of nuclear decay is called a beta decay
Beta DecayThis is the process where a radioactive material is fired or naturally emits a beta particle which is equivalent to the lose of an electron and spontaneously becomes an entirely different element.
[tex]^6_2He \to ^6_3 Li + ^0_-_1e[/tex]
The participating actors in this nuclear reaction are
heliumlithiumelectronThis is the decay process of helium particle in which it became a lithium particle and emitted an electron in the process.
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SOLVE THE LINEAR EQUATION
0.5(0.2-x)+0.2(5x+3)=6
PLEASE HELP!
Step-by-step explanation:
0.1 - 0.5x + x + 0.6 =6
0.7 + 0.5x = 6
0.5x = 6 - 0.7
x=5.3/0.5
x=10.6 Answer
Hope this helps you
Have a good day.
Twenty five percent of grade 8 students enrolled in a summer school review
course. Fifty percent of grade 8 students found grade 8 much more difficult
than grade 7. If taking a summer school review course and finding grade 8
more difficult are independent events, what percent of those who took the
review course found grade 8 much more difficult than grade 7?
25%
10%
12.5%
18%
Answer:
25 uo
Step-by-step explanation:
Statement is not the same thing
Find the area of the rhombus. d=12 m; d1=22 m The area of the rhombus is Im?
The area of the rhombus is 132m
Formula for area of a rhombus:
Area= p * q/2
Where p = diagonal
q= diagonal
Area of the rhombus = 12 * 22/2
=132m
(3/4)^4 what is the answer to this in fraction form
Answer:
[tex]\frac{81}{256}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex](\frac{a}{b}) ^{m}[/tex] = [tex]\frac{a^{m} }{b^{m} }[/tex] , then
[tex](\frac{3}{4}) ^{4}[/tex]
= [tex]\frac{3^{4} }{4^{4} }[/tex]
= [tex]\frac{81}{256}[/tex]
Which sequences are geometric sequences? Check all that apply. Use the graph to answer the questions.
The domain of the sequence is the set of
.
The common ratio is
.
The explicit formula for the sequence is
f(x) =
(
)x − 1.
Answer: natural numbers
3
1, 3
Step-by-step explanation:
The following answers are given below
What is Geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
Given function is:
f(x)= x-1
A) The domain is the set of natural numbers.
B) The common ratio is 1.
D) An explicit formula representing the sequence is an =[tex]a_1^{r-1}[/tex]
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If 2/8 of a class has a pencil and 2/6 of the class has pins but no pencils, how many more students have pins then pencils?
Answer:
.
Step-by-step explanation:
what expression represents the quotient of 17 and 4
Answer:
17 * 4
Step-by-step explanation:
A quotient is the answer to a multiplication problem.
You, Bryce, and Karissa are trying to determine which paper towel brand will
win the contest.
Bryce wants to use the data to determine which team cleans the fastest. Use
the information from all three time intervals to determine rates for each
brand.
Which team (Brand A, Brand B, or Brand C) do the data suggest can clean the
spill the fastest?
Explain how you determined your answer, including specific rates for each
bran
The data of brand C suggests that brand C has the fastest clean time because it has the least average time
How to determine the brand that suggest the fastest?To do this, we simply calculate the average time of each brand.
From the complete question, we have:
Brand A: 20, 40, 60
Brand B: 30, 60, 90
Brand C: 15, 30, 45
The average is calculated using:
Average = Sum/Count
So, we have:
Brand A = (20 + 40 + 60)/3 = 40
Brand B = (30 + 60 + 90)/3 = 60
Brand C = (15 +30+ 45)/3 = 30
The least clean time is 30 (brand C).
Hence, the data of brand C suggests that brand C has the fastest clean time
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The band is raising money for their spring trip They need to raise at
least $1500. Earlier in the year, they made $575 on their annual fruit sale.
Now they are selling donuts, where they will earn $5 profit for each box
of donuts they sell. Which inequality could be used in order to
determine the number of boxes of donuts, d, they must sell in order to
meet their goal?
The inequality to represent the number of boxes of donuts,d, they must sell in order to meet their goal is 575 + 5d ≥ 1500
How to write and solve inequality equation?Amount needed = $1500Annual fruits sale = $575Profit per box of donuts = $5Number of donuts boxes = dThe inequality
575 + 5(d) ≥ 1500
575 + 5d ≥ 1500
5d ≥ 1500 - 575
5d ≥ 925
d ≥ 925 / 5
d ≥ 185 boxes of donuts
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Mrs. Wilkinson can buy a 20-ounce box of cereal for 3.60 or a 28-ounce box of cereal for 4.20. What is the better buy? Explain.
Answer:
the 20 ounce box
Step-by-step explanation:
because its less money per ounce
If 5 times a number increased by 30 is 15, what is the number?
9
3
-3
-15
Answer: -3
Step-by-step explanation:
5 times -3 is -15
-15 + 30 is 15
42. Which of the following expressions is equal to
(sin 60°)(cos 30º) + (cos 60°)(sin 30°) ?
F. cos(60° -30°)
G. cos(60° +30°)
H. sin(60° -30°)
J. sin(60° +30°)
K. sin(60* 430")
+ °
2
Answer:
sin ( 60° + 30° )
Step-by-step explanation:
There is a formula : -
sn ( A + B ) = sin A cos B + cos A sin B
Here,
A = 60°
B = 30°
So,
( sin 60° ) ( cos 30° ) + ( cos 60° ) ( sin 30° ) = sin ( 60° + 30° )
what equation is parallel to the line y=-3x+1 and goes through (-5,-6)
Step-by-step explanation:
Hey let solve this!!!the formular we're to use is the point slope formula
y - y1 = m( x - x1 ) from y = - 3x +1SLOPE = -3
and x1= -5 y1 = -6
HENCE
Y - Y1 = M (X- X1)
y-(-6) = -3( x--5)
y+ 6 = -3 (x+5 )
y+6 = -3x -15
y= -3x-15-6
y= -3x -21
hope this helpsplease rate and mark brainliest!!! Given an = a + (n − 1)(d)
and the sequence
2, 9, 16, 23,..., identify the 50th
term in the sequence.
A. 343
B. 345
C. 49
D. 700
Answer:
345hope this helps
Step-by-step explanation:
