Answer:
4/5, 16/20
Step-by-step explanation:
two fractions equivalent to 8/10 are 8/10 (the original fraction itself), 16/20 (obtained by multiplying by 2), and 4/5 (obtained by dividing by 2).
To find two fractions equivalent to 8/10, we can simplify 8/10 to its simplest form and then multiply or divide the numerator and denominator by the same number to find equivalent fractions.
Step 1: Simplify 8/10 to its simplest form:
The greatest common divisor of 8 and 10 is 2. Dividing both the numerator and denominator by 2, we get 4/5.
Step 2: Find equivalent fractions:
We can multiply or divide the numerator and denominator of 8/10 by the same number to find equivalent fractions. Here are two possibilities:
Multiplying both numerator and denominator by 2:
8/10 * 2/2 = 16/20
So, two fractions equivalent to 8/10 are 8/10 (the original fraction itself), 16/20 (obtained by multiplying by 2), and 4/5 (obtained by dividing by 2).
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If you deposit $5000 into a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?
Answer:
$3250
Step-by-step explanation:
interest=deposit×simple interest×time
interest=5000×6.5%×10
5000×65/1000×10=3250
ans;$3250
Help me please? I don’t really get it TT
First, you have to move the decimal point before you divide like normally. You need to move it so that the left number is a whole number.
So, 6.39/0.9 would turn into 63.9/9.
12.75/2.5 would turn into 127.5/25.
You just move the decimal how ever many times to the right to make it a whole number. In this case, it is 1 decimal place.
what is 4325000 as a scientific notation?
Answer:
4.325X10^6
hope this helps :))
Express x in terms of y:
3(x + 2y) = 2x = 5y
The graph of G(x)=4x^2 is a vertical shrink or stretch of the parent function
Answer:
It is a vertical shrink of the parent function.
The Homerun Hitter's Academy charges thirty-five dollars per hour for batting lessons, with a registration fee of fifteen dollars per year. Janice's parents paid $155 in the month of August. Part A: Using h to represent hours, write an equation to determine how many hours of batting lessons Janice had in the month of August. Part B: Solve the equation you wrote in Part A for h
Answer:
h = 4 hours
Step-by-step explanation:
Charges per hour = $35
Registration fee = $15
Janice's parents paid $155 in the month of August.
Let
h = number of hours
equation to determine how many hours of batting lessons Janice had in the month of August.
15 + 35h = 155
B. 15 + 35h = 155
35h = 155 - 15
35h = 140
Divide both sides by 35
h = 140 / 35
= 4
h = 4 hours
what is the vertex of the graph function y=4x^2+8x-2
Answer:
vertex = (-1, -6)
Step-by-step explanation:
The function you gave is in the Standard Form : y = aX^2 + bX + c.
So you use the equation x = -b/ 2a to solve for the x coordinate of your vertex.
Based on your question, a =4, b =8 and c = -2.
So you plug that in and get x = -8/2(4). Thus, x value for the vertex is -1.
Now you plug -1 into your original equation to find your y value.
y = 4 (-1)^2 + 8 (-1) -2
So y = -6. Thus, your vertex is at pt (-1, -6)
Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across the domain.
Answer:
c: 0 < x < 60, -3.33
Step-by-step explanation:
Three witches make 20 potions in 2 hours. What is the unit rate? i need help on my math test
ok so you are looking for the unit rate.
1 hour: 10 potions
30 mins: 5 potions
1 potion: i think it is 1.666666667
i dont know if my math is right. why dont you check?
Answer:
1 potion is 6 minutes
Step-by-step explanation:
120 minutes/20 potions = 6 potions
pls help i get part a but i just don’t get part b and I have tried so many different answers
write an equation that goes through the ordered pairs (2,-1) and (4,-6)
Answer:
y = -5/2x +4
Step-by-step explanation:
Find the slope:
m = (y2 - y1) / (x2 - x1)
m = (-6 - (-1)) / (4 - 2)
m = -5 /2
y = mx + b
y = -5/2x + b
Solve for b:
y = -5/2x + b
-1 = (-5/2)(2) + b
-1 = -10/2 + b
-1 = -5 + b
b = 4
y = -5/2x + 4
State what additional information is required in order to know that the triangles are congruent for the reason given. (Your answer will be a congruency statement. You may use the = sign if you do not have equation)
SAS
Answer:
i cant see the image
Step-by-step explanation:
pls help brainless whoever gets the answer right i only have 2 attemps left + about 16 points
Answer:
BRIIIIIIIIIIII I MISSED YOU BFF
Step-by-step explanation:
which expressions are equivalent to 3 to the power of 5?
81·3
3·5
9·27
3·3·3·3·3
9·9
Answer: 3·3·3·3·3
Step-by-step explanation:
Answer:
3*3*3*3*3
Step-by-step explanation:
3 to the power of 5 is 3 times 3 5 times.
9) -5k = -10 Help me plz
Answer:
[tex]\boxed {k = 2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]k[/tex]:
[tex]-5k = -10[/tex]
-Divide both sides by [tex]-5[/tex]:
[tex]\frac{-5k}{-5} = \frac{-10}{-5}[/tex]
[tex]\boxed {k = 2}[/tex]
Therefore, the value of [tex]k[/tex] is [tex]2[/tex].
Robert wrote the numbers 4, 5, 8, 9,
10, 13, 15, and 18 and put them in a
hat. What is the probability he will
draw an odd number?
Answer:
70% chance
Step-by-step explanation:
because he has only 3veven so it not likely
Solve for x: (5x + 28)° (4x + 30)°
Answer:
x = 2
Step-by-step explanation:
The 2 angles are vertical and congruent, thus
5x + 28 = 4x + 30 ( subtract 4x from both sides )
x + 28 = 30 ( subtract 28 from both sides )
x = 2
A bag of 6 apples costs $1.35 at Sam's Orchard.
a. At this same rate, how much would 20 apples cost?
b. How many apples could you buy for $4.95?
c. What is the unit cost per apple?
Answer:
A. 20 apples cost 4.50
B. with 4.95 you can buy 22 apples
C. each apple is 0.22 cents
hopefully its right
Answer:
A. 20 apples cost 4.50
B. with 4.95 you can buy 22 apples
C. each apple is 0.22 Cents
Step-by-step explanation:
A rectangle has length = 3x + 2 and width = 2x + 5
21. Find the perimeter
Perimeter =
22. Find the Area
Area =
Answer:
Perimeter-6x+4 + 4x+10= 10x+14
Area-(3x+2)(2x+5)=6x+15x+4x+10= 25x+10
The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the
cyclist to complete a bicycle tour. Which rational function best models the data in the table?
Time, x
(hours)
12
16
2
10
Average Speed, y
(miles per hour)
8
6
9
18
6
51
201
х
O ya
96
oy - 2x
2x
3
3
Save and Exit
Next
Submit
By putting every value of table x, y = (96 / x) this gives the output of table y so that this is the correct answer.
By definition, it is known that speed equals the ratio of distance and time.
Speed = Distance / Time
Therefore, according to the definition, the last two options are the possible
Let's evaluate the First option:
y = x/96
= 12/96
= 1/8
The table is not fulfilled
Let's evaluate the Second option: (12,8)
y= 2x/3
y= 2*12/3
y = 8
NOW,
(16, 6)
y= 2x/3
2*16/3
the answer will be on a fraction
The table is not fulfilled
Let's evaluate the third option:
y = (3/2) * (1 / x)
x = 12
y = (3/2) * (1/12) = 3/24 = 1/8
The table is not fulfilled
Let's evaluate the fourth option:
y = (96 / x)
x = 12
y = (96/12) = 8
Yes, the table is met.
Option 4 ) y = (96 / x)
By putting every value of table x, y = (96 / x) this gives the output of table y so that this is the correct answer.
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Find the slope of the line that passes through each pair of points.
(5, 9), (3, 9)
Answer:
0
Step-by-step explanation:
Cost of an MP3 player: $59.95 Markup: 9%
Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Write an expression to represent this scenario where r represents the number of rides.
Answer:
y=1.4r+8.00
Step-by-step explanation:
Use the distributive property to find the product of the rational number.
-3/4 ( -1/5 - 3/5)
A. 3/5
B. 4/5
C. 9/20
D. - 3/5
After using distributive property the product of the rational number is equals to [tex]\frac{3}{5}[/tex] .
What is rational number?" Rational number is defined as the number which is represented in the [tex]\frac{p}{q} , q\neq 0[/tex] form ."
Distributive property
[tex]A ( B \± C) = AB \± AC[/tex]
According to the question,
Given product of the rational number,
[tex]\frac{-3}{4}( \frac{-1}{5}-\frac{3}{5})[/tex]
Apply distributive property to simplify the given rational number we get,
[tex](\frac{-3}{4})( \frac{-1}{5})-(\frac{-3}{4}) (\frac{3}{5})\\\\= (\frac{3}{20})+(\frac{9}{20})\\\\= (\frac{12}{20})\\\\= (\frac{3}{5})[/tex]
Hence, Option(A) is the correct answer.
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complete the table below i am stuck on it plz helpp !!!
Answer:
0 - 0 - 1
1 - 4 - 2
2 - 16 - 4
Step-by-step explanation:
I think this is right!!
Answer:
0- 0,1
1- 2,2
2- 8,4
Step-by-step explanation:
I used a calculator for this
The path of water from a hose on a fire tugboat can be approximated by the equation y = −0.0045x2 + 1.15x + 10, where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat. When the water from the hose is 3 feet above the ocean, at what distance from the tugboat is it? Round answer to nearest hundredth.
Answer:
x = 261.50 ft
Step-by-step explanation:
From the question, we want to calculate the distance from the tugboat given the height of the hose above the ocean
This means y is 3 and we want to find x
Substitute value for y
3 = -0.0045x^2 + 1.15x + 10
3 + 0.0045x^2 - 1.15x - 10 = 0
That will be;
0.0045x^2 - 1.15x - 7 = 0
we can use the quadratic formula here;
a = 0.0045
b = -1.15
c = -7
Mathematically;
x = -b ± √b^2 - 4ac/2a
Thus we have;
x = 1.15 ± √(-1.15)^2 - 4(0.0045)(-7)/2(0.0045)
We have;
x = 1.15 ± 1.2035/0.009
x = (1.15+ 1.2035)/0.009
we ignore the negative since distance cannot be negative
x = 261.50 ft
Calculate the missing term. 32/24 = 20/___
Answer:
20/30
Step-by-step explanation:
Simplest form of 32/24= 4/3
Multiply both 4 and 3 by 10= 20/30
Hope this helps!
Does anyone know how to do these i'm so confused.
Answer:
Its 2/1, the slope is at the last on on the table. You can see the ratio change.
simplify the equation and tell whether the equation has one solution, no solution, of infinitely many solutions. 9(x+5) = 20+9x+25
Answer:
Infinite Solution
Step-by-step explanation:
no matter what you put for x you would still get 9x+45=9x+45 if you put x=8 it would equal the same on both sides
The system of equations 9(x + 5) = 20 + 9x + 25 has infiinitely many solutions.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, 9(x + 5) = 20 + 9x + 25.
9x + 45 = 20 + 9x + 25.
9x + 45 = 9x + 45.
So, They are basically the same straight lines coinciding with each other and have infinitely many solutions.
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Help please,
The height of a pizza box is 1 3/4 inches. What is the height in inches of 8 pizza boxes?
Answer:
14 inches
Step-by-step explanation:
1 3/4*8=