Answer:
w = 20 feet
Step-by-step explanation:
V = lwh
600 = 5(6)w
600 = 30w
w = 20
Find the length of side x in simplest radical form with a rational denominator
Answer: 4√2
Step-by-step explanation:
The triangle is a special right triangle. Using this, you know that the legs of the triangle are 1 and 1 as the 45, 45, 90 triangle has the sides of 1, 1 and √2. That being said,
4 x 1 = 4 - This is one of your sides
4 x 1 = 4 - This is your other side.
4 x √2 = 4√2 = This your your hypotenuse or your x.
My teacher played me this song to help me remember 45, 45, 90 and 30, 60, 90 triangles. Look up "45 45 90 30 60 90 song" and look for the channel, "Scalar Learning"
I hope this answered your problem.
If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number of years.
a) 5 years b) 10 years c) 15 years
Answer:
[tex]a) A\simeq17204.28[/tex]
[tex]b) A\simeq29598.74[/tex]
[tex]c)A\simeq50922.51[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $10000
[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]
n = 4 (quarterly in a year)
a ) t = 5 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]
b) t = 10 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]
c) t = 15 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]
Answer:
Solution given;
principal [p]=$10000
rate[r]=11%
time[t]= 5 years
we have
compound amount quarterly =P(1+r/400)^4t
=$10000(1+11/400)^4×5=$17204.28431
1) In a school of 3600 students, number of boys is twice the number of girls. Find the number of girls.
Answer: 1200
Step-by-step explanation:
x is the number of boy
The number of boys is twice the number of girls: [tex]\frac{1}{2} x[/tex]
Total is 3600 students: x + [tex]\frac{1}{2}x[/tex]= 3600 → x = 2400
Therefore, the number of girls is: 2400/2= 1200
Answer: There are 2400 boys and 1200 girls
Step-by-step explanation:
x represents girls
2x represents boys
________________________
x+2x=3600
3x =3600
x=3600/3
x =1200
Number of girls = 1200
1200 * 2 = 2400
Which of the following describes independent events A and B?
1) P(A)=0.70 P(B)=0.70 P(A and B)=0.40
2) P(A)=0.40
P(B)=0.70
P(A and B)=0.28
3) P(A)=0.40
P(B)=0.00
P(A and B)=0.40
4) P(A)=0.70 P(B)=0.40
P(A and B)=0.30
600 students sat a Math exam. If 86% of students passed the exam, the percentage of people who FAILED is
Answer:
the percentage of student who failed r 14%
and their number is 84.
stay safe healthy and happy.Michael is placing cubic blocks into a box that measures 8 inches by 12 inches. each block is 1 cubic inch. he has packed the first layer of the box with 96 blocks. the box is 10 inches high. how many blocks will Michael be able to pack into the box in all?
Answer:
960
Step-by-step explanation:
First of all we can find the volume of the whole box:
8×12×10=960
then find the area of the blocks:
1×1×1=1
Finally, we divide them to find how many fit in to the box:
960÷1=960
So 960 of the blocks will fit into the box.
Find the x and y intercept of 8x+10y=15. NO LINK TO ANSWER PLEASE TYPE
Answer:
x intercept: 15/8 and yintercerpt is 3/2
Step-by-step explanation:
to find y intercept you have to put equation in standard form.
10y=-8x+15
y=--4/5x+3/2
x intercept is when y=0, so we plug in 0
0=-4/5x+3/2
4/5x=3/2
x=15/8
What is 4^4 in algerbra mathematics?
Answer:
256
Step-by-step explanation:
4 to the exponent of 4 = 256
. What is the difference between a right triangle and a obtuse triangle?
Answer:
In a right triangle two of these are merged into the same square, so there are only two distinct inscribed squares. However, an obtuse triangle has only one inscribed square, one of whose sides coincides with part of the longest side of the triangle.
Step-by-step explanation:
Erik buys a new combination for his locker at the gym.The lock has 3 dial, each with the number 0 through 9. The probability that he sets the combination as 4-3-9 is
Answer: 0.001
Step-by-step explanation:
Given
The lock has 3 dials, each with the number 0 through 9.
The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is [tex]\frac{1}{10}[/tex]
Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]
Therefore the probability of getting a combination of 4-3-9 is
[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]
A running track has two semi-circular ends with radius 24m and two straights of length 85.9m as shown.
Calculate the total area of the track rounded to 1 DP.
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer:
4:7 and 4:49
Step-by-step explanation:
P=s+s+s
A=S×S
Write the equation of the line with a slope of -2 that passes through (-5, 6).
a. y = -5x + 6
b. y=-2x – 4
c. y = -2x + 7
d. y = 4x - 2
(all of my points)
Answer:
B
Step-by-step explanation:
use y=mx+c
follow the flow
math math math math math pls help
Answer:
100-16π ft2
Step-by-step explanation
Answer:
100-16π ft2
Step-by-step explanation:
Mr. Jensen owed $34.75 on his Internet service. He accidentally paid $37.45. When his next statement came, it showed a balance of –$2.70. Which statement about this bill is true?
Mr. Jensen needs to pay $2.70 more on his next bill
Mr. Jensen needs to pay $2.70 less on his next bill.
Mr. Jensen needs to pay $5.40 more on his next bill.
Mr. Jensen needs to pay $5.40 less on his next bill.
Answer:
B
Step-by-step explanation:
if he pays 2.70 more than he is supposed to and gets a bill that says -2.70 they took that money off his next bill
Answer:
the answer is b :To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
Step-by-step explanation:
IM SO SORRY IF ITS WRONG
Find the solution of the system of equations.
-2x-6y=8
-6x-6y=0
A collection of 22 dimes and quarters has a total value of $4.00. Write a system of equations that defines this situation and solve using any method.
Where can I find I ready answers? specifically math.
Answer: you could problem look in help.k12
Step-by-step explanation:
Answer:
here on brainly it will answer you ask your question and it will answer it
Could I get help as soon as possible?
Answer:
(0, 0)
Step-by-step explanation:
It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
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I need the answer to the Problem RIGHT NOW
Indicate below whether the equation in the box is true or false 4/10=1/2
Answer:
False
Step-by-step explanation:
4/10's numerator (top number) and denominator (bottom number) can both be divided by 2. Therefore, when we do that, it will be equal to 2/5. 2/5 is not equal to 1/2. Therefore, the answer is false.
If this helps please mark as brainliest
3x²-7x+4=0
can yall help me
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]
Salma Serra purchased a truck. last year she drove the truck 12,340 miles. the fixes costs totaled $1,428 , while variable cost totaled $2,998. how much did it cost per mile to operate the truck?
Answer:
20.61952
Step-by-step explanation:
hope it helps
The solution is : cost of driving per mile is $0.42.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Given:
Luisa Díaz drove her vehicle about 7,200 miles last year.
Total fixed cost = $1,058.40
Total variable cost = $1965.60
Question asked:
How much did it cost per mile ?
Solution:
Total cost of driving 7200 miles = Total fixed cost + Total variable cost
= $1,058.40 + $1965.60
= $3024
By unitary method:
Cost of driving 7200 miles = $3024
Cost of driving 1 mile = $3024 7200
= $0.42
Thus, cost of driving per mile is $0.42
To earn more on addition click:
brainly.com/question/29560851
#SPJ2
complete question:
Luisa Díaz drove her vehicle about 7,200 miles last year. Her fixed costs totaled $1,058.40 and her variable costs were $1965.60 how much did it cost per mile
Q7.
There are 15 children at a birthday party.
The mean age of the 15 children is 7 years.
9 of the 15 children are boys.
The mean age of the boys is 5 years.
Work out the mean age of the girls.
Answer:
10
Step-by-step explanation:
Let c = sum of ages of all children.
mean age of all children = c/15 = 7
c = 15 * 7 = 105
The sum of the ages of all children is 105.
Let b = sum of ages of the 9 boys.
mean age of boys = b/9 = 5
b = 9 * 5 = 45
The sum of the ages of the boys is 45.
The sum of the ages of the girls is c - b.
c - b = 105 - 45 = 60
The number of girls is 15 - 9 = 6
mean age of girls = (sum of ages of the girls)/(number of girls) =
= 60/6 = 10
Which is an
equation of the line that has a slope of -2/3
and passes though (-1, 3)?
Answer:
y = -2/3x + 7/3
Step-by-step explanation:
y = -2/3x + b
3 = -2/3(-1) + b
3 = 2/3 + b
7/3 = b
Angle a and b are supplementary angles, and a is x-3 and b is x+14 what are the measures of angle a and b
Answer:
a = 81.5
b = 98.5
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
a = x-3
b = x+14
In supplementary angles , the formula are as follows,
a + b = 180
By putting the value, we get
x - 3 + x + 14 = 180
2x + 11 = 180
2x = 180 - 11
2x = 169
x = 169 ÷ 2
x = 84.5
So, a = 84.5 - 3
= 81.5
b = 84.5 + 14
= 98.5
In the number 576,439,260 the 4 is in
A. the millions place.
B. the thousands place.
C. the ten thousands place.
O D. the hundred millions place.
O E. the hundred thousands place,
evelyn packed this box with 1-inch cubes. which expression does NOT show how evelyn can find the volume of the box
Answer:
[tex]Volume = 2 + 3+6[/tex]
Step-by-step explanation:
Given
[tex]Length = 2[/tex]
[tex]Width = 3[/tex]
[tex]Height = 6[/tex]
See attachment for box
Required
Which does not represent volume?
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = 2 * 3 * 6[/tex] ---- (b) represents volume
Multiply 2 and 3
[tex]Volume = 6 * 6[/tex] ---- (d) represents volume
The above product can be converted to addition, as:
[tex]Volume = 6 + 6 + 6 + 6 + 6 + 6[/tex] ---- (a) represents volume
Hence:
[tex]Volume = 2 + 3+6[/tex] --- does npot represent volume
7x7x7 x 7 7 can be simplified to:
A 57
B 75
C 7x5
D 75
E 77 777
Answer:
77777
is correct answers