x = total age of boys
x / 30 = 11yrs
Multiply both sides by 30
x = 330
y = total age of girls
y / 20 = 12
Multiply both sides by 20
y = 240
(240 + 330) / 50 = 11.4 yrs
The average age of the whole class = 11.4 years.
A class has 30 boys and 20 girls.
The average age of boys and girls is 11 and 12 respectively.
To Find:The average age of the whole class.
Solution:Boys = No. of boys × Age
Boys = 30 × 11 = 330
Girls = No. of girls × Age
Girls = 20 × 12 = 240
Average Age = Boys + Girls / Total no. of boys and girls
Average Age = 330 + 240 / 50
Average Age = 570 / 50
Average Age = 11.4
Answer:Average age of of the whole class is 11.4 .
2(y + 5) = 18 - 12
2y + 10 = 18 - 12
2y + 10 = 6
- 10 -10
2
22
y = -2
What is the name of this method ?
Answer:
Distributive property
The diagram below shows
two similar
similar rectangles.
Find the perimeter of the
combined figure.
5 cm
13 cm
Answer:
Perimeter of 1st rectangle=20cm
Perimeter of 2nd rectangle=52cm
1
=
Using two pieces of data from the table below, write the equation of a line in slope-intercept form.
-4
0
4
8
12
29
28
27
26
25
A. y = 4x - 28
B. y = - 4x + 28
OC. y= 3x-28
OD. y=x+28
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table
m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, 28 ) ⇒ c = 28
y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D
I need help with this one
Answer:
look it up
Step-by-step explanation:
4) How many km in
58,795cm?
Please help thanks!!
Step-by-step explanation:
1 km is equal to 100,000 cm.
58,795 is close to 50,000, which is half of 100,000. So our estimate would be 1/2 km to 50,000 cm.
Convert 58,795 to a decimal.
0.58795
The decimal cannot be simplified so there is
0.58795 km in 58,795 cm
Hope it helps!
Please Help!! 10 Points! Brainliest Answer
R is in between P and S. PR = 15.5 mm, RS = 13.3 mm. Find PS
Answer:
28.8mm
hope this helped you
please mark as the brainliest (ㆁωㆁ)
(25 X 43) + (25 x 57) =
Answer:
2500
Step-by-step explanation:
Step 1:
( 25 × 43 ) + ( 25 × 57 )
Step 2:
1075 + 1425
Answer:
2500
Hope This Helps :)
The height of Dougal is 1.84 metres. The height of Seb is 1.7 metres. Write the height of Dougal as a fraction of the height of Seb. Give your answer in its simplest form. Write your fraction in the form a / b eg * 19/16 would be 19/16
Answer:
No se bro suerte con eso V:
Step-by-step explanation:
combining like terms with negative coefficients
4x+5y-6xy-7x-8y-9xy?
Find the value of n-7 when n=17.
Answer:
10
Step-by-step explanation:
17-7=10
Answer:
10
Step-by-step explanation:
f(x) = n - 7
f(17) = 17 - 7
f(17) = 10
1 over 14 to the power of negative 1
Answer:
14
Step-by-step explanation:
Answer:
1/14^-1 is the same as 14/1^1
thus the answer is 14
the rule used states that a over b power negative 1 is equivalent to b over a power one
[tex]2 + \frac{60}{( - 3)} - 5( - 2)[/tex]
Simplify please
HELP I WILL GIVE BRAINLIEST I NEED ANSWER ASAP!!!
Mr. Green wants to know how far he can run. He knows he can run 103,000 mm. How many miles can he run? Show all work if you want to receive credit.
I know the answer is 0.064 miles but I need the work!! help please
Answer:
1 Mile = 1609000 mm.
1.03 × 10^5 × 6.21371192237337 = 0.064 mile
103000 /1609344= 103000 mm.
Step-by-step explanation:
The beginning process is just to find the amount that mm = miles. After that you will move the decimal to then get 0.064 of a mile.
103,000 mm is 0.064 miles
So he can run 0.064 miles.
Given,
He can run = 103,000 mm
We need to find how many miles he can run.
How many mm in a mile?1 mile = 1609344 mm
Find how many miles is 103,000 mm.
We have,
1 mile = 1609344 mm
Multiplying both sides by 103,000
103,000 x 1 mile = 103,000 mm x 1609344
Divide both sides by 1609344
( 103,000 x 1 mile ) / 1609344 = (103,000 mm x 1609344) / 1609344
0.064 miles = 103,000 mm
This means 103,000 mm is 0.064 miles.
Thus 103,000 mm is 0.064 miles
Learn more about the conversion of meters and millimeters here:
https://brainly.com/question/14699264
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The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yearly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%
Answer:
The answer is 40.1%
Step-by-step explanation:
I just took the test
The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.
When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:
= (Correlation coefficient)² x 100%
= 0.633² x 100%
= 0.4007 x 100%
= 40.1%
In conclusion, 40.1% of the variation in salary can be explained by age.
Find out more at https://brainly.com/question/3560028.
Find the distance between the points with the coordinates shown.
(-8,5) and (7,-3)
Answer:
17
Step-by-step explanation:
please answer this question for geometry
Answer:
D is the correct answer in 95% sure :)
Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent
What is the length of the diagonal, d, of the rectangular prism shown below?
Round your answer to the nearest tenth - my god someone please help I’ve been up all night and just need sleep :(
Step-by-step explanation:
using Pythagoras theorem
d}^{2} =4}^{2+7}^{2}
d}^{2}=16+49
d}^{2}=65
d}^{2}=√65
[tex] \sqrt{d } ^{2} = \sqrt{65} [/tex]
d=8.06 or 8
A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy
every 6 hours. Machine B makes 1,296 pieces of candy every 8 hours.
Which statement best compares the machines?
Machine B makes candy faster than machine A because machine B made more candy.
Machine A makes candy faster than machine B because machine A took less time.
Machine B makes candy faster than machine A because machine B made more pieces of
candy per hour.
Machine A makes candy faster than machine B because machine A made more pieces of
candy per hour.
Which of the following is equivalent to the given equation 7x2 = 98x - 343
a
(x+4)(x-3)
(x-7)
b
(x-6)(x+7)
d
Answer:
(x-7)
Step-by-step explanation:
i guessed and got it right
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Answer:
10.75 is the answer I think
An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?
Answer:
7.2 gallons
Step-by-step explanation:
2.25 x 3.2 = 7.2
Answer:
7.2
Step-by-step explanation: :>
Given the graph below, which of the following statements is true?
Ту
5
4
3
1 2
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all X-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with
multileve
Answer:
it’s d on edg
Step-by-step explanation:
The equation which represents the graphed function is; y = (-1/3)x + 3
What is Equation of a line?The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.
here, we have,
By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.
Additionally, the slope of the line can be evaluated by considering the two points given;
Slope, m = (2-3)/(3-0)
Slope, m = -1/3
Hence, the equation of the line is;
y = (-1/3)x + 3
Read more on equation of a line;
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a square patio has an area of 200 square ft. how long is each side of the patio to the nearest foot? please answer quickly! will give brainliest.
Answer:
100
Step-by-step explanation:
cause they its 100
Answer:
14 feet
Step-by-step explanation:
Use the square area formula, A = s², where s is the side length
Plug in the area and solve for s:
A = s²
200 = s²
14 = s
So, each side of the patio is 14 feet
Which expression is equivalent to pq ?
P + q
P - q
P/q
qp
Answer:
qp
Step-by-step explanation:
pq = p * q
In multiplication like this, the order doesn't matter:
5 * 3 = 15
3 * 5 = 15
2 * 9 = 18
9 * 2 = 18
Thus,
pq = p * q = q * p = qp
Answer: qp
can anyone help? i’ll mark brainliest
|4x + 4| = 15
First, let's get rid of the absolute value signs to get the first solution.
4x + 4 = 15
Subtract 4 from both sides
4x = 11
Divide each side by 4
x = 11/4 or 2.75
Now, let's get the solution by changing 15 to -15.
4x + 4 = -15
Subtract 4 from both sides
4x = -19
Divide both sides by 4
x = -19/4 or -4.75
The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine which submarine has the greater range of depths.
Submarine A Submarine B
Minimum Depth −146 ft −194 ft
Maximum Depth −532 ft −621 ft
Answer:
Range A = 386ft
Range B = 427ft
B has the larger range.
Explanation:
To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.
Sub A:
-146ft - (-532ft) = 386 ft
Sub B:
-194ft - (-621ft) = 427 ft
Submarine B has a larger range.
You are creating identical coupon booklets to sell for a fundraiser. You have 40 dry-cleaning coupons, 24 coupons for a local restaurant, and 31 movie theater coupons. 5b) You find one additional movie theater coupon. What is the greatest number of identical coupon booklets you can make?
Answer:
if you're trying to make it with one of each kind in each booklet the answer is 24
Solve the literal equation cy−7=5d+3y for y.
y=
Answer: y = 5d + 7 / c - 3
Step-by-step explanation:
Step 1: Add -3y to both sides
cy - 7 + -3y = 5d + 3y + -3y
= cy - 3y - 7 = 5d
Step 2: Now, add 7 on both sides
cy - 3y - 7 +7 = 5d +7
= cy - 3y = 5d +7
Step 3: Factor out y
y(c - 3) = 5d + 7
Step 4: Divide both sides by c-3
y(c - 3) / c - 3 = 5d+7 / c-3
Your answer for this should be
y = 5d + 7 / c - 3
Hope this helped!