Question is incomplete, complete question is given below.
The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except _____.
A) 2/3
B)3/2
C)1 1/2
D)18/12
Answer:
A) 2/3
Step-by-step explanation:
Given:
The fraction is [tex]\frac{9}{6}[/tex]
By solving the above fraction to its simplest form we get
[tex]\frac{9}{6}=\frac{3\times3}{2\times2}=\frac{3}{2}[/tex]
Now For Option A which is [tex]\frac{2}{3}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is Not equivalent to given fraction.
Now For Option B which is [tex]\frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Now For Option C which is [tex]1\frac{1}{2}[/tex]
Solving above equation to simplest form we get,
[tex]1\frac{1}{2}= \frac{1\times2+1}{2}=\frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Now For Option D which is [tex]\frac{18}{12}[/tex]
Solving above equation to simplest form we get,
[tex]\frac{18}{12}= \frac{6 \times 3}{6 \times 2} = \frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Hence all answer B C and D are all equal to [tex]\frac{3}{2}[/tex] except A which is [tex]\frac{2}{3}[/tex]
Richard and Teo have a combined age of 24. Richard is 9 years older than twice Teo's age. How old are Richard and Teo?
Answer:
R+T=24
2t+9=R
(2t+9)+t=24
3t+9=24
3t=15
t=5
r+5=24
r=19
Teo is 5 and Richard is 19
Richard is 19 years old and Teo is 5 years old.
Explanation:To solve this problem, we'll start by assigning variables to Richard's age (R) and Teo's age (T).
From the given information, we can form the following equations:
R + T = 24 (the combined age of Richard and Teo is 24)R = 2T + 9 (Richard is 9 years older than twice Teo's age)We can solve this system of equations by substituting the second equation into the first equation, which gives us:
(2T + 9) + T = 24
Combining like terms, we get 3T + 9 = 24. Subtracting 9 from both sides gives 3T = 15. Dividing by 3, we find T = 5.
Substituting this value back into the first equation, we get R + 5 = 24. Subtracting 5 from both sides gives R = 19.
Therefore, Richard is 19 years old and Teo is 5 years old.
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It takes a machine 15 minutes to put
labels on 300 cans of soup. At this rate,
how many minutes will it take the
machine to put labels on 500 cans of
soup?
I need ASAP please explain also If I need to times or divide with these I get confused
Answer:
25
Step-by-step explanation:
To calculate rate, divide the number of cans by the time to get "Cans per minute".
300/15min = 20/min
Let m represent minutes and c for cans.
We write an equation for the problem:
c = 20m
We want to know the time for 500 cans, so substitute 500 for c.
500 = 20m
Isolate m and solve:
m = 500/20
m = 25
It will take 25 minutes to put 500 labels.
what is the simplified answer to 5+3w+3-w
Answer:
5 + 3w + 3 - w = 2w + 8Step-by-step explanation:
[tex]5+3w+3-w\qquad\text{combine like terms}\\\\=(3w-w)+(5+3)\\\\=2w+8[/tex]
What is the answer? Solve 4 ⋅ (−6)
How many kilograms of lentils will each person get if 3 people share 1/5 of a kilogram of lentils equally?
Answer:
1/15 of a kilogram
Step-by-step explanation:
Answer:1/15 of a kilograms
Step-by-step explanation:
1/5 divided by three is the same as 1/5*1/3. 1*1 =1 and 5*3 =15
The perimeter of a rectangle is twice the sum
of its length and its width. The perimeter is
40 meters and its length is 2 meters more
than twice its width.
Answer:
The width of the given rectangle = 6 m
The width of the rectangle = 14 m
Step-by-step explanation:
Let us assume the width of the rectangle = k
So, the length of the rectangle = 2 + 2 ( The width) = 2 + 2 k
Perimeter of the rectangle = 40 meters
Now, PERIMETER OF THE RECTANGLE = 2(LENGTH + WIDTH)
or, 40 = 2 ( k + (2 + 2 k))
⇒ 2( 3 k + 2) = 40
or, 2(3 k) + 2(2) = 40
or, 6 k = 40 - 4 = 36
⇒ k = 36 / 6 = 6, or k = 6
Hence, the width of the given rectangle = k = 6 m
The width of the rectangle = 2 + 2 k = 2 + 2(6) = 14 m
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answer:
250 students
Step-by-step explanation:
Another way of saying this is:
40% of all six-grade students are 100 of them.
So,
40% of total is equal to 100
We can translate this into an algebraic equation and solve for the total number of students.
Let total number of students be "t"
Also, note "of" means "multiplication" and "is" means "equal"
Lets translate word equation to algebraic:
"40% of total is equal to 100"
40% * t = 100
Converting percentage to decimal by dividing by 100, we have:
40% = 40/100 = 0.4
Now, we have:
0.4 * t = 100
We can now solve for t:
[tex]0.4 * t = 100\\t=\frac{100}{0.4}\\t=250[/tex]
Hence,
the total number of students is 250
Answer:
250 students
Step-by-step explanation:
I will mark Brainliest and 5 s.
Here is part one I will post part two after I get an answer for this one.
Thank you so much!❤️
Answer:
Part 1) The rate of change of the linear function is [tex]\frac{1}{3}[/tex]
Part 2) The initial value is -4
Step-by-step explanation:
Part 1) Find the rate of change
we know that
The rate of change of the linear function is the same that the slope of the linear function
To determine the slope we need two points
Looking at the graph
take the points (0,-4) and (3,-3)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{-3+4}{3-0}[/tex]
[tex]m=\frac{1}{3}[/tex]
therefore
The rate of change of the linear function is [tex]\frac{1}{3}[/tex]
Part 2) Find the initial value
we know that
The initial value or y-intercept is the value of y when the value of x is equal to zero
Looking at the graph
when the value of x is equal to zero
The value of y is equal to -4
so
The y-intercept is the point (0,-4)
therefore
The initial value is -4
A total of 814 tickets were sold for the school play. They were either adult tickets or student tickets. There were 64 more student tickets sold than adult tickets. How many adults tickets were sold?
Final answer:
To solve the problem, we set up an equation with 'x' representing adult tickets and concluded that 375 adult tickets were sold for the school play.
Explanation:
The question involves solving a numerical problem related to ticket sales. To find the number of adult tickets sold for the school play, we can set up an algebraic equation. Let x represent the number of adult tickets and x + 64 represent the number of student tickets (since there were 64 more student tickets sold than adult tickets). The total tickets sold were 814, so we can write the equation as follows:
x + (x + 64) = 814
Combining like terms, we have:
2x + 64 = 814
Subtracting 64 from both sides, we get:
2x = 750
Dividing both sides by 2, we obtain:
x = 375
Therefore, 375 adult tickets were sold for the school play.
Latoya, Henry, and Manuel served a total of 112 orders Monday at the school cafeteria. Latoya served 7 more orders than Henry. Manuel served 3 times as many orders as Henry. How many orders did they each serve?
Answer:
Henry: 21
Latoya: 28
Manuel = 63
Step-by-step explanation:
x = orders henry served
x + 7 = orders latoya served
3x = orders manuel served
x + (x + 7) + 3x = 112
5x + 7 = 112
5x = 105
x = 21
x + 7 = 21 + 7 = 28
3x = 3 * 21 = 63
The bears at the zoo eat
875 pounds of food each week. How
much do they eat per day?
Answer:
They eat 125lbs of food a day
Step-by-step explanation:
You do 875 divide by 7 for the days of the week and you get 125
Answer:
125 pounds
Step-by-step explanation:
One week is equivalent to 7 days
If the bears eat 875 pounds each week all we have to do to get the answer is divide 875 by 7.
875 ÷ 7 = 125
Hope I helped!
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A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble after t
seconds is given by the equation h - 16t" + 16 + 1400. How long after the pebble is thrown will it hit the ground?
The pebble will hit the ground about
seconds after it is thrown.
A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 16 t plus 1400
h=−16t2+16t+1400. How long after the pebble is thrown will it hit the ground?
Answer
The pebble hits the ground after 9.8675 s
Step-by-step explanation:
Given
waterfall height = 1400 feet
initial velocity = 16 feet per second
The height, h, of the pebble after t seconds is given by the equation.
[tex]h(t) = -16t^{2}+16t+1400[/tex]
The pebble hits the ground when [tex]h = 0[/tex]
[tex]h=-16t^{2}+16t+1400[/tex] ---------------(1)
put [tex]h=0[/tex] in equation (1)
[tex]0=-16t^{2}+16t+1400[/tex]
[tex]-16t^{2}+16t+1400=0[/tex]
Divide by -4 to simplify this equation
[tex]4t^{2}-4t-350=0[/tex]
using the Quadratic Formula where
a = 4, b = -4, and c = -350
[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]t=\frac{-(-4)\pm\sqrt{(-4)^{2}-4(4)(-350) } }{2(4)}[/tex]
[tex]t=\frac{4\pm\sqrt{16-(-5600) } }{8}[/tex]
[tex]t=\frac{4\pm\sqrt{16+5600 } }{8}[/tex]
[tex]t=\frac{4\pm\sqrt{16+5616 } }{8}[/tex]
The discriminant [tex]b^{2}-4ac>0[/tex]
so, there are two real roots.
[tex]t=\frac{4\pm12\sqrt{39 } }{8}[/tex]
[tex]t=\frac{4}{8}\pm\frac{12\sqrt{39 }}{8}[/tex]
[tex]t=\frac{1}{2}\pm\frac{3\sqrt{39 }}{2}[/tex]
Use the positive square root to get a positive time.
[tex]t=9.8675 s[/tex]
The pebble hits the ground after 9.8675 second
The equation 22 = 2y + x represents the perimeter of a flower garden with
length y (in feet) and width x (in feet). Solve for y. Then find the length of the
flower bed when the width is 2 feet, 3 feet, and 4 feet.
Answer:
[tex]y = \frac{22-x}{2}[/tex]
For width = 2 ft, the length of the flower bed = 10 ft.
For width = 3 ft, the length of the flower bed = 9.5 ft.
For width = 4 ft, the length of the flower bed = 9 ft.
Step-by-step explanation:
Here, the Perimeter of the flower garden is given as
22 = 2 y + x
: where, y : Length of the garden
and x : Width of the garden .
Now, solving for y in the above expression,we get
22 = 2 y + x ⇒ 22 - x = 2 y
or, [tex]y = \frac{22-x}{2}[/tex]
Now, when the width (x) = 2 feet
Length of the flower bed [tex]y = \frac{22-x}{2} = \frac{22-2}{2} = \frac{20}{2} = 10[/tex]
or, x = 10 ft
⇒For, the width = 2 ft, the length of the flower bed = 10 ft.
when the width (x) = 3 feet
Length of the flower bed [tex]y = \frac{22-x}{2} = \frac{22-3}{2} = \frac{19}{2} = 9.5[/tex]
or, x = 9.5 ft
⇒For, the width = 3 ft, the length of the flower bed = 9.5 ft.
when the width (x) = 4 feet
Length of the flower bed [tex]y = \frac{22-x}{2} = \frac{22-4}{2} = \frac{18}{2} = 9[/tex]
or, x = 9 ft
⇒For, the width = 4 ft, the length of the flower bed = 9 ft.
A boat goes 50 km downstream in the same time that it takes to go 30 km upstream. The speed of the stream is 3km/hour. Find the speed of the boat in still water.
Answer:
The speed of the boat in still water is 12 km/hour.
Step-by-step explanation:
Given:
Boat goes 50 km downstream and 30 km upstream. The speed of the stream 3 km/hour.
Now, to find the speed of the boat in still water:
Let the speed of boat in still water be [tex]x km/hour[/tex].
The speed of the downstream be [tex]x+3[/tex]
And, the speed of the upstream be [tex]x-3[/tex]
And, now we find the time by putting the formula:
[tex]Time = \frac{Distance}{Rate}[/tex]
So, downstream time is:
[tex]downstream\ time = \frac{50}{x+3}[/tex]
So, upstream time is:
[tex]upstream\ time = \frac{30}{x-3}[/tex]
According to question:
Time upstream = Time downstream
[tex]\frac{30}{x-3} = \frac{50}{x+3}[/tex]
By cross multiplication:
[tex]30\times (x+3)= 50\times (x-3)[/tex]
[tex]30x+90=50x-150[/tex]
By taking variables in one side and taking numbers on the other side we get:
[tex]90+150=50x-30x[/tex]
[tex]240=20x[/tex]
Dividing both sides by 20 we get :
[tex]12=x[/tex]
Therefore, the speed of the boat in still water is 12 km/hour.
What is the slope of this graph?
4
14
−14
−4
The slope of the given line with points (0, -3) and (-2, 5) is -4.
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis. We can also think of slope as the rise over run. The slope of a line also describes the amount of angle a line forms from the positive x-axis.
From the given graph we can determine two points when x = 0 , y = -3 and when x = -2 , y = 5.
∴ The points of the given line are (0, -3) and (-2, 5).
We know the slope of a line is rise over run which is (y₂ - y₁)/(x₂ -x₁).
Therefore the slope of the given line is,
= (5 + 3)/(-2 - 0).
= 8/-2.
= -4.
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is 4/10 more, less or equal to half
Answer:
less
Step-by-step explanation:
5/10 is equal to one half, but 4/10 is less than one half
A plumber is making steel ring to fit around a pipe with diameter
of 5 centimeters. How long does the steel ring need to be to fit
around the pipe? (Use 3.14 for Pi.)
A. 15.7 cm
B. 19.63 cm
C. 31.4 cm
D. 78.5 cm
Answer:
The circumference of the pipe can be derived by 2(pi) r = 2 (3.14) (2.5)= 15.7. Hence the steel ring needs to be 15.7 cm. (option A).
The length of the steel ring necessary to fit around a pipe with a diameter of 5 cm is 15.7 cm, found using the formula for the circumference of a circle. This formula is Circumference = Pi * Diameter.
Explanation:The student wants to find out how long a steel ring needs to be to fit around a pipe with a diameter of 5 centimeters. This involves finding the circumference of a circle, which uses the formula Circumference = Pi* Diameter. So, to find the needed length of the steel ring, we substitute the given diameter into the formula.
Step 1: Write down the formula: Circumference = Pi*Diameter.
Step 2: Substitute the given diameter of 5 cm into the formula: Circumference = 3.14 * 5 cm.
Step 3: Calculate the circumference: Circumference = 15.7 cm.
Therefore, the steel ring needs to be 15.7 cm long to fit perfectly around the pipe. So, the answer is A. 15.7 cm.
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Which statement best represents the equation below?
10+(-10)=0
A.A dog runs 10 feet to the left and then runs another 10 feet to the left.
B. A
girl earns $10 in 10 hours.
C. a bottle contained 10 Litters Of juice after 10 Litters spilled on the floor.
D. a car goes 7 feet and then reversed 7 feet.
Answer:
D
Step-by-step explanation:
its like going from point A to point B and then back to point A
Find the number if:
1.12 of it is 56
Answer:
The number is 50.
Step-by-step explanation:
1.12x=56
x=56/1.12
x=50
The computer Joel wants is on sale for
$980. The original price of the computer
is $1,125. The computer includes a
printer and a mouse pad. How much
will Joel save?
Answer:
Joel will save $145.
Step-by-step explanation:
1125-980=145
A shade of green paint is to be mixed with 3 parts blue and 2 parts yellow Ten gailions of green paint are to be mixed
How many gallions of yellow paint must be used?
4
2
5
6 2/3
Answer:
4
Step-by-step explanation:
If we were to work backwards, 4 would be the 2 part in the equation, already done. 2x2=4. so that means that the other number must also be multiplied by 2, making the number 6. 6+4 is 10, meaning ten gallons. message me with any remaining questions!
There are 4 gallons of yellow paint are needed to mixed with the ten gallons of green paint.
To calculate how many gallons of yellow paint must be used to mix with blue paint in order to make ten gallons of green paint, using a ratio of 3 parts blue to 2 parts yellow, we first need to understand the total ratio parts. The ratio given is 3:2, which means there are 3 + 2 = 5 parts in total. Since we want to mix ten gallons of green paint, we need to split these ten gallons according to the ratio.
First, we calculate the value of one part by dividing the total gallons of green paint by the total number of parts:
10 gallons / 5 parts = 2 gallons per part
Now, since we have 2 parts yellow, we need:
2 parts imes 2 gallons per part = 4 gallons
Therefore, to make ten gallons of green paint with the given ratio, 4 gallons of yellow paint must be used.
A television at Best Buy is on sale for 35% off. If the tv's original price was $1,800, what is the sale price?
The tv is on sale for
Final answer:
The sale price of the television, after a 35% discount on the original price of $1,800, is $1,170.
Explanation:
To calculate the sale price of the television that was originally priced at $1,800 and now has a 35% discount, we need to determine what 35% of the original price is and subtract it from the original price.
Step-by-Step Calculation
Find 35% of $1,800:
(35/100) × $1,800 = $630.
Subtract the discount from the original price:
$1,800 - $630 = $1,170.
Therefore, the sale price of the television is $1,170.
Choose the equivalent factored form
The sales tax is $49 on the purchase of a dining room set for $980. Find the sales tax rate
The sales tax rate is 5%.
Step-by-step explanation:
Given,
Amount of sales tax = $49
Price of dining room set = $980
Sales tax rate = [tex]\frac{Amount\ of\ sales\ tax}{Price\ of\ dining\ room\ set}*100[/tex]
Sales taxa rate = [tex]\frac{49}{980}*100[/tex]
[tex]Sales\ tax\ rate=\frac{4900}{980}\\Sales\ tax\ rate=5\%[/tex]
The sales tax rate is 5%.
Keywords: percentage, division
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Homer's annual salary is $74,308. If he works all 52 weeks a year, how much is he paid each week?
Answer:
Step-by-step explanation:
You need to divide 74308 divided by 52 which equals 1429.
if x:6as3:9,then x is equal to
Answer:
x=2
Step-by-step explanation:
x/6=3/9
simplify 3/9 into 1/3
x/6=1/3
cross product
6*1=3x
6=3x
x=6/3=2
x=2
2y÷8-2y=-10
pls answer by today
Answer:
40/7
Step-by-step explanation:
Answer: y=5.7 approx.
Step-by-step explanation:
2y÷8-2y=-10
follow order of operations and simplify a bit first
2y÷8-2y=-10 becomes 1/4y-2y=-10
you can keep on going
so 1/4y-2y=-10 becomes -7/4y=10
y=5.7 approx.
Part one
Find the cost to park for a day and the hourly rate to rent a paddleboat.
Answer:
Total cost for a day=246 dollars
Hourly rate=10 dollars
Step-by-step explanation:
Let the Total cost be a function of 't' (time),i.e. total cost=R(t)
let R(t)=at+b where a and b are some constants belonging to real numbers
Now substitute t=1 in above equation
R(1)=a+b⇒16=a+b
substitute t=2,
R(2)=2a+b⇒26=2a+b
Now solving a+b=16 and 2a+b=26,
we get a=10 dollars/hour and b=6 dollars
Therefore the cost function is, R(t)=10t+6
where 10 dollars/hour is the hourly rate and 6 dollars is the base charge.
To get the Total charge for one day substitute t=24 in R(t)
⇒R(24)=10*24+6=246 dollars
PLEASE HELP QUICK
What is the measure of
42°
48°
90°
180°
Answer:
I would say the answer is 90 degrees
Answer:
360-48-42-90-48-42=90°
what is the answer of 67 × 27
Answer:
1809
Step-by-step explanation:
Answer:
67 x 27 = 1,809 have a good day