Answer:
set mary is x years old, and helen is y years old.
first sentence:x=2y
second one:4(y-8)=x+4
bring x=2y in 4(y-8)=x+4
=>4y-32=2y+4
=>2y=36
=>y=18
=>x=36
mary:36
helen:18
We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.
Let's define the variables we will be using.
m = Mary's age.h = Helen's age.We know that "Mary is twice as old as Helen’s age"
Then:
m = 2*h
"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."
(m + 4) = 4*(h - 8)
Then the system of equations is:
m = 2*h
(m + 4) = 4*(h - 8)
To solve it, we can replace m by 2*h in the second equation, so we get:
(2h + 4) = 4*(h - 8)
2*h + 4 = 4*h - 32
4 + 32 = 4*h - 2*h
36/2 = h = 18
And we know that:
m = 2*h = 2*18 = 36
So Helen is 18 years old, and Mary is 36 years old.
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a conference hall has 33 rows.the last row contains 80 seats each row has two fewer seats than the row behind it.how many seats are there second to the last row?
Answer:
there are 84 seats in the second to the last row
Step-by-step explanation:
Given that
each row has two fewer seats than the row behind it
It means that
if first row has x seats then
no of seat in second row has (x-2) seats.
and similarly
no of seat in third row =no of seat in second row - 2seats.
no of seat in third row = (x-2) seat - 2 seats = x - 4 seats
_____________________________________________
Given that
last row has 80 seats
let the number of seat in first to the last row be x
then number of seat in last row = x-2
we know number of seat in last row = 80
thus
x - 2 = 80
x = 82
Thus,
the number of seat in first to the last row is 82
Similarly let the number of seat in second to the last row be y
then number of seat in first to the last row = y-2
since number of seat in first to the last row is 82
thus
y-2 = 82
y = 82 + 2 = 84
Thus, there are 84 seats in the second to the last row.
_________________________________________________
What is the 8th term in the pattern 1,2,5,10,17
Answer:
50
Step-by-step explanation:
Question
The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot-
long board. How many pounds of pressure is needed to break a 5-foot-long board?
Provide your answer below:
Answer:
9.6
Step-by-step explanation:
60 pounds of pressure is needed to break a 5-foot-long board,
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Richard uses 24 pounds of pressure to break a 2-foot-long board.
How many pounds of pressure is needed to break a 5-foot-long board,
we have to find.
i.e. 24/2 * 5
=12*5
=60
hence, 60 pounds of pressure is needed to break a 5-foot-long board,
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8. The area of a square weightlifting platform is 16 m2. a) Sketch the platform. What are its dimensions? b) What is the perimeter of the platform?
Answer:
Step-by-step explanation:
Area of a square platform = Length × Length
A = L² (note that all the sides of a square are equal)
Given
A = 16m²
L² = 16
L = √16
L = 4m
Hence the dimension of the square is 4m by 4m (use the dimension when sketching the diagram. Al the sides is the diagram must be the same i.e 4m)
Perimeter of the square = 4L
P = 4(4)
P = 16m
Hence the perimeter of the platform is 16m
2 in every 7 students will need
glasses before they turn 15. If
there are 203 students in the
freshman class, how many will
need glasses before they turn 15?
I need help with this
Answer:
Not similar
Step-by-step explanation:
Even though
8/2=16/4,
10/3 does not have any relation to the rest. Still make sure if im right, but hope this helps!
the width of a rectangle card is 2cm less than the length and the area is 35cm²
The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²[tex].[/tex]
To Find :We have to find length and breadth of rectangle.
Solution :Let length of the rectangle be x cm.
Given that, width is 2cm less than the length.
∴ Width = (x - 2) cm
➤ Area of rectangle :
Area = Length × Width⭆ Area of rectangle = 35
⭆ length × width = 35
⭆ x × (x - 2) = 35
⭆ x² - 2x - 35 = 0
⭆ x² - 7x + 5x - 35 = 0
⭆ x(x - 7) + 5(x - 7) = 0
⭆ x = 7 or x = -5
We know that, length can't be negative.
∴ Length of rectangle = 7cm
Width = x - 2 = 7 - 2∴ Width of rectangle = 5cm
Hope It Helps!−8 3/4÷2 1/6 please show me ur work
Answer:
- 4 1/26Step-by-step explanation:
Solving in steps:
- 8 3/4 ÷ 2 1/6 =- 35/4 ÷ 13/6 =- 35/4 × 6/13 = - 35/2 × 3/13 =- 105/26 =- 4 1/26choose the expression that completes the equation 33 / 3 + 10=_______
1. 2(10+1)
2. 10(1+1)
3. 3(6+1)
4 5(3+5)
Answer:
the answer is number 3. 3 ( 6+1 )
greatest common factor for 32-4x
Answer:
4
out of
32
−
4
x
.
4
(
8
−
x
)
Step-by-step explanation:
How many significant figures in 20340 ?
There are 4 significant figures in 20340.
blake ran laps around the gym
how many decimal places would the answer have when you find the product of 43.09281×5.092?
Answer:
219.42858852
Step-by-step explanation:
URGENT!!!!! WILL MARK BRAINLIEST!!!!
Options:
AAS
SAS
AAA
ASA
solve for x
cx+(1/2c)(1/4x)+20=170
Answer:
x = 400/(3 c)
Step-by-step explanation:
Solve for x:
(9 c x)/8 + 20 = 170
Hint: | Isolate terms with x to the left-hand side.
Subtract 20 from both sides:
(9 c x)/8 = 150
Hint: | Solve for x.
Divide both sides by (9 c)/8:
Answer: x = 400/(3 c)
What number is 10 times greater than 12,052
Answer:
120,520
Step-by-step explanation:
Answer:
120520
Step-by-step explanation:
because 12052*10
what is the product of 50x0.08 M
Answer:
4
Step-by-step explanation:
11.
What must the slope of a line be if it is parallel to the line
12x + 8y = -6?
A) –
B)
C) 1
D) -12
3
WIN
2
o
A
O
B
С
o o
D
Answer:
A) -3/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Write equation
12x + 8y = -6
Step 2: Write in slope-intercept form
Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4Step 3: Find slope
Slope of a parallel line always has the same slope of the original line.
m = -3/2 (Original)
m = -3/2 (Parallel)
There are 18 girls in Mr. Brimley's math class. If 40% of the students are girls, what is the best estimation for the number of boys in the class?
A. 20
B. 30
C. 40
D. 50
Answer:Its B I got It right on my test
Step-by-step explanation:
solve each inequality and graph the solutions , ILL MARK BRAINLIST !!!!
Answer:
see below
Step-by-step explanation:
2d+21 ≤11
Subtract 21
2d+21-21 ≤11 -21
2d ≤-10
Divide by 2
2d/2 ≤-10/2
d≤-5
What is 74 divided by 12?plz help I need this assignment done before 3:30 and it’s 2 hours until time
Answer:
6.16.
Step-by-step explanation:
hope this helps.
Answer:
37/6
Step-by-step explanation:
does y= x squared represent a linear function
Answer:
no
Step-by-step explanation:
most probably a linear function. y = mx +b. what you have to notice here is the X, if the X has no exponents on it, then it is usually linear, but if the X is X squared or higher then it would not be a linear function.
Can someone help me please
Answer:
The ratio is 6
explain how the percent equation relates proportional quantities
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
The proportion is a general case of percentage. (Refer to the examples explained below).
What is the percent equation?Proportion is a general case of percentage. It describes how much of the total a particular sample is. For example, if a pie contains eight slices and you have five, the proportion is 5/8. You have a total of five out of eight. A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts. I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same. Imagine a small pizza with 6 slices and a large pizza with 8 slices. If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second. Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).Therefore, the proportion is a general case of percentage.
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A construction worker needs to move 120 ft squared (3) of dirt by using a wheelbarrow. One
wheelbarrow load holds 8 ft squared(3) of dirt and each load takes him 10 minutes to complete
. One
correct way to figure out the number of hours he would need to complete this job is
Answer:
it would take him 1.5 hours (an hour and 30min.)
Step-by-step explanation:
120 divided by 8 = 15
15 divided by 10 = 1.5
The number of hours he would need to complete this job is 2.5 hours.
What is PEDMAS rule?"PEDMAS is an order of operation used in mathematics to deal easily with complex calculations. It states that we start solving any arithmetic expression by solving the terms written in parentheses or brackets and then we simplify exponential terms and move ahead to division and multiplication operations and then, at last, we can find the answer by solving addition and subtraction operations."
According to the question
A construction worker needs to move 120 feet squared (3) of dirt by using a wheelbarrow.
One wheelbarrow load holds 8 feet squared(3) of dirt and each load takes him 10 minutes to complete.
Writing the above statement in mathematical form
= (120 ÷ 8) × 10
By using PEDMAS rule, we get
= 15 × 10
= 150 mins
= 150 ÷ 60
= 2.5 hours
Thus, the number of hours he would need to complete this job is 2.5 hours.
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What is the product of 9,028 x 100,000 written in expanded form
Answer:
902,800,000
Step-by-step explanation:
902800000, is the product of 9,028 x 100,000.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
9,028 x 100,000
=902800000
Hence, 902800000, is the product of 9,028 x 100,000.
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I need help with my homework
The value of X=37
hope this helps :)
X= 12^2 + 35^2
= √1369
= 37
Answer:
37
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c², with a and b being the 2 shortest sides of the triangle, and c being the longest.
a² b² c²
12² + 35² = 1369
Once you have c², you need to find the square root of c² to get c.
The square root of 1369 is 37. c=37
Luna brought all her savings with her to ieme, in euros,
For the first week, she spent the same amount of money
each day. The table shows how much Luna had left at the
end of each day
What was the initial value of Luna's savinge?
A.) 35 euros
B.) 350 euros
C.) 315 euros
D.) 80 euros
Answer:
The answer is B. 350 euros
Step-by-step explanation:
350 euros was the initial value of Luna's savings. Thus option B is correct.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The data that is presented suggests that there will not be a change in the first week this remains still at 315. They left out the amount that was 35.
Therefore the initial amount of the savings that the person has was the sum of both amounts.
= 315 + 35
= $350
Therefore, option B is the correct option.
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Luna brought all her savings with her to Rome, in euros. For the first week, she spent the same amount of money each day. The table shows how much Luna had left at the end of each day. What was the initial value of Luna's savings? Day Euros ? 315 1 2 280 3 245 4 210 5 175 6 140 7 105 35 euros 315 euros 80 euros 350 euros
Please help me i will give all of my points 14
Please help i need this right now
Answer:
3 7/12
Step-by-step explanation:
What is the image of figure B after a -90° rotation about the origin?
A B
B. X
C. Y
D. Z
Answer:
D. Z
Step-by-step explanation: Just took the practice test
