Proportional numbers are numbers with the same equivalent ratio
98/126 is proportional to 84/108
The number is given as:
[tex]Number = \frac{84}{108}[/tex]
Reduce fraction to the lowest term
[tex]Number = \frac{7}{9}[/tex]
Reduce 86/110 to the lowest term
[tex]Number = \frac{86}{110}[/tex]
Divide by 2/2
[tex]Number = \frac{43}{55}[/tex]
43/55 is not equivalent to 7/9
Reduce 98/126 to the lowest term
[tex]Number = \frac{98}{126}[/tex]
Divide by 14/14
[tex]Number = \frac{7}{9}[/tex]
7/9 is equivalent to 7/9.
Hence, 98/126 is proportional to 84/108
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A pine tree measured 40 1 / 2 feet tall. Over the next 7 1 / 2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was the average yearly growth rate of the height of the tree?
The average yearly growth rate of the height of the tree is 2 1/3 feet
Given:
original height of the pine tree = 40 1/2 feet
Height in next 7 1/2 years = 57 feet
Change in height = Height in next 7 1/2 years - original height of the pine tree
= 57 height - 40 1/2 feet
= 17 1/2 feet
Average growth rate yearly = Change in height / number of years
= 17 1/2 feet ÷ 7 1/2 years
= 35/2 ÷ 15/2
= 35/2 × 2/15
= (35 × 2) / (2 × 15)
= 70/30
= 2 10/30
= 2 1/3 feet
Therefore, the average yearly growth rate of the height of the tree is 2 1/3 feet
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Multiply. Write the answer in simplest form. 3/7 x 2 5/6
193/42
3×6+25×7÷4218+175÷42193/42Help help help help help help help math math
Answer:
Step-by-step explanation:
5x + 10 + 10x + 5 = 180
15x + 15 = 180
15x = 165
x = 11
A certain hybrid car with a 16 gallon gas tank can travel 35 miles on battery alone and then it uses its gas. The car can then travel 45 miles per gallon of gas used. Assume the car starts with a full tank of gas. Fill in the missing values.
Answer:
X miles ( 35, 125, 265, 310)
m = 35 + 45x
755
Step-by-step explanation:
Hope this helps, btw have an awesome day
how much solutions does 2x = 2x + 1 have?
Answer:
no solution
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
What is the slope of the line containing the points (17,92) and
(21, 44)?
Answer:
-9.6
Step-by-step explanation:
92-44/17-21
Answer:
-12
Step-by-step explanation:
Formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify the values:
[tex]y_2=44[/tex]
[tex]y_1=92[/tex]
[tex]x_2=21[/tex]
[tex]x_1=17[/tex]
Plugin the values; solve:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{44-92}{21-17}[/tex]
[tex]= \frac{-48}{4}[/tex]
[tex]\bold{m=-12}[/tex]
Therefore, the slope of the line containing the points (17,92) and
(21, 44) is -12.
Which item produces the magnetic field in the electromagnet?
A-paperclips
B- a switch
C-paint brushes
D- a magnet
Answer:
Its ethier a switch or magnet
pls help meee
6.) in a repeating musical pattern, there are 56 beats in 7 measures. How many measures are there in 104 beats?
Answer:
23 measure
Step-by-step explanation:
because 56/7 = 8
so 104/8=23
Answer:
13 measures
Step-by-step explanation:
for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.
Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.
104 ÷ 8 = 13
help pls dawg i aint tryna get an F
Answer:
The answer is d hope this helps!!
Step-by-step explanation:
Divide by lomg division
What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?
Answer:
1
Step-by-step explanation:
First, find out what the product would be if you multiply 20 with the fraction:
(3 * 20)/5 = 60/5 = 12
12 = 12 ∴ (3/5)(20) = 12
As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.
It’s number 5 what is the domain and range plz help urgent
Answer:
Domain: -2,-1,0,3 Range: -2,-1,0,3
Step-by-step explanation:
The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)
plz helppppppppppopppppp
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Can the sum or multiplication of two palindromic numbers be another palindromic number?
Answer: No.
Step-by-step explanation:
If you multiply 1001 by 1001 it's not another palindromic number.
calculate the area please help
Answer:
99 cm²Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
(11 * 18) : 2 =
198 : 2 =
99 cm²
What is the slope of the line?
Answer:
[tex] - \frac{2}{3} [/tex]
Step-by-step explanation:
Pick two points on the graph: (4, -5) and (1, -3)
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope
[tex] = \frac{ - 5 - ( - 3)}{4 - 1} [/tex]
[tex] = \frac{ - 5 + 3}{3} [/tex]
[tex] = - \frac{2}{3} [/tex]
2(7x-5)-6x+2=0 help me out
[tex]2(7x-5)-6x+2=0\\\\\implies 14x -10 -6x +2=0\\\\\implies 8x -8 =0\\\\\implies 8(x-1) =0\\\\\implies x -1 =0\\\\\implies x =1[/tex]
Solve for x given that AC = 4, CE = 8, AB = X - 8, and BD = 2.
What is the measurement of AB?
What is 1.231 rounded to the nearest hundredth?
1.23 would be your answer.
Have a great day! :)
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Evaluate the expression when c=4 and y=-4.
6(4) (-4)
Answer:
6×4×(-4)
24×(-4)
-96
Step-by-step explanation:
Hope it will help you...
Write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3
Answer:
y=1/3x-8
Step-by-step explanation:
The slope intercept form of a line is y=mx+b
m stands for slope and b stands for y intercept
So ... simply put 1/3 in for m and -8 in for b
What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?
Answer:
final balance = 24,634.02
compound interest = 19,634.02
Step-by-step explanation: not my answer
Good morning! May somebody help me as soon as possible? Like ASAP ASAP possible
Answer:
i hope you'll understand
Step-by-step explanation:
[tex] - x - 2y = 5 \\ 3x + 2y = 9 \\ - x - 2y - 5 = 3x + 2y - 9 \\ - 4x - 4y - 4 = 0( \div by \: - 1) \\solution 4x + 4y = 4[/tex]
A car travels 108 miles on 8 gallons of gas. Find the distance the car can travel on 25 gallons of gas.
337.5 miles, or 337 miles!
Answer: It will be able to travel 162 miles
Step-by-step explanation:
2. Write an equation in slope-intercept form for the line with a slope of -9 and a
y-intercept of 18.
Answer:
y = -9x + 18.
Step-by-step explanation:
The general form is y = mx + c , where m = the slope and c = y-intercept.
[tex]\huge\boxed{Hi \: there! :)}[/tex]
We are given the slope of the line: -9.
We are also given its y-intercept: 18.
Slope-Intercept Form:
[tex]\huge\sf\{y=mx+b[/tex]
Where
m is the slope and b is the y-intercept.
Plug in the values:
y=-9x+18
[tex]\huge\boxed{Therefore, \: our \: equation \: is: y=-9x+18}[/tex]~An Unknown Dreamer
Good luck!
Miriam has 3 packages of pencils. Each
package has 6 pencils. She needs an
eraser for each pencil. How many erasers
will she need to buy?
Tell which OPERATIONS you will use. Then
solve the problem. (Very important).
Answer:
18
Step-by-step explanation:
you will use multiplication
3(packages of pencils)×6(pencils)=18pencils
so she will need 18 erasers for each pencil
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is k=1/4
Step-by-step explanation:
For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.
A movie theater charges $7.00 for adults and $2.00 for senior citizens. On a day when people paid for admission, the total receipts were $1225. How many who paid were adults? How many were seniors?
Answer:
7.00+2.00=9.00
2.00-7.00=5.00
Which of the following is NOT an equivalent expression for the confidence interval given by 161.7
Choose the correct answer below.
O A. 161.7 +27.8
B. 175.6 -13.9
O C. 175.6 + 13.9
OD. (161.7.189.5)
According to the confidence interval given, the non-equivalent expression is:
A. [tex]161.7 \pm 13.9[/tex]
The interval given is:
[tex]161.7 \leq \mu \leq 189.5[/tex]
Which can also be written as: (161.7.189.5)
The point estimate is the halfway point of the interval, hence:
[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]
The margin of error is half the difference of the bounds, hence:
[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]
According to the point estimate and to the margin of error, the interval can also be written as:
[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]
[tex]175.6 \pm 13.9[/tex]
Hence, the only expression which is non-equivalent is:
A. [tex]161.7 \pm 13.9[/tex]
You can learn more about confidence intervals at https://brainly.com/question/25779324