Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Help me ASAP pls! Convert the measurement. Round the nearest hundredth.
Answer: 252
Step-by-step explanation:
can someone help me find the area of this decagon?
Step-by-step explanation:
the given height is also the radius of the inscribed circle and the formula for the area is S=2r^2*sqrt(5*(5-2sqrt5))=490*tan18 which roughly rounds to 156.8
GIVING BRAINLY!!! (for correct answer)
Answer:
C)3
Step-by-step explanation:
this is according to my test
ben earns 140 dollars by selling 70 hot dogs how much does ben need to sell to get 300 dollars
Answer:
Ben would earn $280 by selling 140 hot dogs.
Step-by-step explanation:
You do this by multiplying 140 x 2,
If this equals 280, then you would do 70 x 2 to make it even
If this equals 140,
Ben will sell 140 hotdogs, and make $280
Answer:
150 hot dogs
Step-by-step explanation:
1 hot dog is $2 so 140 hot dogs=$280 so if u add 10 hot dogs that would be $20 so $280+$20=$300 which is equal to 150 hotdogs
3,9, 13, 8, 10, 2
what’s the Median?
someone help?
Help Plzzzzzz.........
Answer:
The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]
The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]
Step-by-step explanation:
The line on the graph passes through the points A (0,6) and B (3,0)
b) Find the gradient of a line perpendicular to AB
First we will find gradient (slope) of AB
The formula used to find Slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=0, y_1=6, x_2=3, y_2=0[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-6}{3-0}\\Slope=\frac{-6}{3}\\Slope=-2[/tex]
So, we get slope: m = -2
Now, the gradient of line perpendicular to AB will be opposite to the slope of AB
The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]
c) Find the equation of line passing through point A and perpendicular to AB
The equation of line can be found using slope m = [tex]\frac{1}{2}[/tex] and y-intercept b
We need to find y-intercept b:
Using slope m = [tex]\frac{1}{2}[/tex] and point A (0,6)
y=mx+b
6= [tex]\frac{1}{2}[/tex] (0)+b
6=0+b
b=6
So, y-intercept is b =6
So, Equation of line with slope m = [tex]\frac{1}{2}[/tex] and y-intercept b =6 is:
[tex]y=mx+b\\y=\frac{1}{2}x+6[/tex]
So, The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]
Help help help help
Answer:
c. 12
Step-by-step explanation:
if the pentagons are similar they have a common factor.
the factor between 16 cm and 8 cm is 2, so 6*2 is 12.
Answer this question please
Answer:
No correlation
Step-by-step explanation:
There's no discernible trend in the data.
solve the inequality -2z-3<5. what is the value of z?
Hey there!
The answer to your question is z > -4
We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.
-2z - 3 < 5 add 3 to both sides
-2z < 8 divide both sides by -2, and flip the inequality sign
z > -4
Good luck! Hope it helps, and have a great day!
Answer:
The answer is z > -4
but a line down were is the (>)
I ready!
holpe it help
12 eggs for $3. How much is the cost per egg?
3 pounds of peanuts for $7.50. How much is the cost per pound?
4 rolls of toilet paper for $2. How much is the cost per roll?
10 apples for $3.50. How much is the cost per apple?
Answer:
10 cents
Step-by-step explanation:
Answer:
$0.25 for each egg
$2.5 for each pound of peanuts
$0.5 for each toilet paper roll
$0.35 for each apple
Step-by-step explanation:
3/12=.25
7.50/3=2.5
2/4=.5
3.5/10=.35
Identify the perimeter and area of a square with diagonal length 24in. Give your answer in simplest radical form!!!
(x5 + 5x4 – x3 – 22x2 + x + 6) =
(x2 + 3x - 2)
Answer:
x = 4/13
Step-by-step explanation:
I hope this helps!
what is 4 × 10^2 in scientific notation?
Answer:
104 = 10 × 10 × 10 × 10 = 10,000
Step-by-step explanation:
In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
Sam wrote exactly half of his land in his daughter's name and ⅓ of his land in his son's name. He donated the remaining 10 acres to a charity.
1. What fraction of the total plot of land did Sam donate to charity?
Answer:
he donated 1/6 of the total land to charity
Step-by-step explanation:
1/2 went to daughter
1/3 went to daughter
combined, this equals 5/6 of the total land
this leaves 1/6 to be donated
Select the number line that correctly shows the calculation for |-4|.
I will give branliest!!!
Answer:
A.
Step-by-step explanation:
Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan. If Nolan has a total of 23 pens and pencils, and so does Fiona, which of these is a number of pens or a number of pencils that either Nolan or Fiona has?
Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.
Amount determinationGiven that Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan, to determine, if Nolan has a total of 23 pens and pencils, and so does Fiona, the number of pens and pencils that either Nolan or Fiona has, the following calculation must be performed:
Pen = APencil = BN = 14A + 9B = 23 /// F = 3.5 + 19.5N = 12A + 11B = 23 /// F = 3A + 20BN = 20 A + 3 B = 23 /// F = 5 A + 18 B20 / 4 = 518 / 6 = 3Therefore, Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.
Learn more about amount determination in https://brainly.com/question/14342345
Write a story that could represent this math problem.
Answer:
the answer is 1 and 1 fourth
help me with this please:)
9514 1404 393
Answer:
parallel: 5perpendicular: -1/5Step-by-step explanation:
The equation of the given line is written in "slope-intercept form":
y = mx + b . . . . . . where m is the slope
Matching this form to the equation you have, you see that ...
m = 5 . . . the slope of your given line.
__
A parallel line will have the same slope: 5.
__
A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.
A perpendicular line will have a slope of -1/5.
Find X in this picture.
Answer:
x is in the top left of the triangle :)
Step-by-step explanation:
Answer:
its there....
Step-by-step explanation:
10n+0.3=0.1n+0.3
8th grade solving lineaar equations w/ rational coeffinents
Answer: n = 0
Step-by-step explanation: Let's solve for n, according to the linear equation given, this way:
10n + 0.3 = 0.1n + 0.3
10n - 0.1n = 0.3 - 0.3 (Like terms)
9.9n = 0
n = 0/9.9
n = 0
An aquarium costs $85
plus $2 per fish. Write an equation to
find the cost c of an aquarium plus
any number of fish f. Make a table to
find the cost of an aquarium plus 3, 4,
5, or 6 fish.
Answer:
C=85+2x
Step-by-step explanation:
c=85+2(3) -- $91
c=85+2(4) -- $93
c=85+2(5) -- $95
c=85+2(6) -- $97
The sum is rational or irrational number?
Answer:
a rational number
Step-by-step explanation:
1) First, find the sum of [tex]\frac{4}{7} +\frac{-1}{3}[/tex]:
[tex]\frac{4}{7} + \frac{-1}{3} \\= \frac{12}{21} - \frac{7}{21} \\= \frac{5}{21}[/tex]
2) Any number that can be written as a fraction is a rational number. Therefore, the sum, [tex]\frac{5}{21}[/tex], is rational.
Dividing with remainders
Tia is planting her garden with 15 plants. She wants them
planted in equal groups of 4. How many groups of 4 can she
make? How many plants will she have left over?
Answer:
im not sure but i think 3
Step-by-step explanation:
Which representation shows y as a function of x?
Answer:
D vote brainliest
Calculate the Distance between the ordered pairs (-2, 3) and (4, -7). Use graph paper if necessary.
will give brainliest:)
-2x-¼(12x-8)
answer
Answer:
here you go
Step-by-step explanation:
-5x+2
are 9x+15 and -9x-15 equivalent expressions
Answer:
Step-by-step explanation:
Yes!
Help with this would mean a lot 12 points!!
Answer: I can only solve #3 The asnwer is -1.65x
Step-by-step explanation:
Multiplying a positive and a negative equals a negative
(+)x(-)=(-)
-X x 5.5 x 0.2 x 1.5. <---- Calculate the product
and you will get -1.65x
Can someone help me on this question?
Answer:
x = 19.6
Step-by-step explanation:
By applying cosine rule in ΔBCD,
cos(30)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BC}{BD}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{BC}{16}[/tex]
BC = [tex]8\sqrt{3}[/tex]
Now, by applying sine rule in ΔBAC,
sin(45)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{AB}{BC}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}[/tex]
x = [tex]8\sqrt{6}[/tex]
x = 19.59
x ≈ 19.6