Explanation:
A direct proportion is of the form y = kx
To find k, pick any row to divide the y over x value
k = y/x = 20/10 = 2k = y/x = 24/12 = 2k = y/x = 42/21 = 2k = y/x = 44/22 = 2No matter which row you go for, the constant of proportionality is 2. Meaning that we double the x value to get to y.
Therefore, we go from y = kx to y = 2x
can you show me how to do this problem 11/5 + 23/10 =
Answer:
The answer to the problem is 4 1/2
Answer:
9/2
Step-by-step explanation:
the answer is 9/2 or 4.5,
the solution for that I have attached below
MARK ME AS BRAINLISTLisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg. The second heaviest dog weighs 28 kg. How heavy is the third heaviest dog?
The weight of the third heaviest among the four dogs is 2 kg.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.
Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.
29 + 28 + 2 + 1 = 60 kg
The weight of the third heaviest among the four dogs is 2 kg.
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prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.
Answer:
it’s 3 x 2x 5 = 30
Then use that product and times it by 10. ( 10 x 30 )
Ans = 300 cubic centimeters
Step-by-step explanation:
3 x 5 x 2 = 30
30 x 10 = 300
Ans = 300 cubic centimeters
Help help math math math
Answer: 5a+23
Step-by-step explanation: Let us combine like terms. -7a + 12a = 5a, and 17 + 6 = 23, thus it is 5a + 23.
Answer:
slay
Step-by-step explanation:
slay
convert 5'5 into meters
It will be around 1.6metres
hope it helps
Answer:
1.65 meters
Step-by-step explanation:
1 ft = 0.3048 meters
just multiply
The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number
Answer:
The probability is probably about 55%
Step-by-step explanation:
Shaquana owns a small business selling bagels. She knows that in the last week 93 customers paid cash, 7 customers used a debit card, and 5 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Answer:The probability as a decimal to the nearest hundredth is 0.89
Step-by-step explanation:
i just did it and got it right
The probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89
What is probability?"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."
What is decimal?"A decimal is a fraction written in a special form. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place."
We have
Customers paid cash = 93
Customers used debit card = 7
Customers used credit card = 5
Number of favorable outcomes n(S)
= 93
Total number of outcomes n(E)
= 93+7+5
= 105
The probability that the next customer will pay with cash
= [tex]\frac{n(S)}{n(E)}[/tex]
= [tex]\frac{93}{105}[/tex]
= [tex]0.885[/tex]
= 0.89 (nearest hundredth)
Hence, the probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89.
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Karen, Lamar, and John sent a total of 160 text messages over their cell phones during the weekend. John sent 4 times as many messages as Lamar. Lamar sent 10 fewer messages than Karen. How many messages did they each send?
Answer:
Karen= 35 messages
Lamar= 25 messages
John= 100 messages
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the number of messages Karen, Lamar and John send be K, L and J messages respectively.
[tex]\textcolor{steelblue}{\text{\textcircled{2} Form equations with given information}}[/tex]
K +L +J= 160 -----(1)
J= 4L -----(2)
L= K -10 -----(3)
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]
Substitute (3) into (2):
J= 4(K -10)
J= 4K -40 -----(4)
Substitute (3) and (4) into (1):
K +(K -10) +(4K -40)= 160
Simplify:
6K -50= 160
6K= 160 +50
6K= 210
Divide both sides by 6:
K= 210 ÷6
K= 35
Substitute K= 35 into (3):
L= 35 -10
L= 25
Substitute L= 25 into (2):
J= 4(25)
J= 100
[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]
Thus Karen, Lamar and John sent 35, 25 and 100 messages respectively.
Solve for X and Y 1. y = 2x
6x + 3y = 12
2. y = -4x + 2
y = 6x - 8
3. y = x - 4
-4x - 6y = -16
4. x = 3y + 1
2x + 4y = 12
Answer:
Step-by-step explanation:
1. If y =2x
solve for y in (6x +3y) = 12
6x + 3(2x) = 12, 6x + 6x =12
12x = 12 , x= 1
to find y , from y =2x
y = 2(1) , ( x = 1 and y = 2)
2. y = -4x + 2
y = 6x -8
y = (-4x + 2)(6x-8)
= -4x ( 6x -8) + 2(6x-8)
-24[tex]x^{2}[/tex] + 32x + 2(6x-8)
-24x2 + 44x - 16
3. y = x -4
-4x -6y = -16
-4x - 6(x - 4) = -16
-4x - 6x - 24 = -16
-10x - 24 = -16
-10x = -16 + 24, -10x = -8
x = 0.8 , to get y , we input x value into eqn(y = x-4)
y = 0.8 -4, y = -3.2
x = 0.8, y = -3.2.
4. x = 3y + 1
2x + 4y =12
2(3y + 1) + 4y = 12
6y + 2 + 4y = 12
10y + 2 = 12
10y = 12 -2
10y = 10
y = 1, to get x
x = 3y + 1
x = 3(1) + 1 , x = 4
( x = 4 and y = 1).
Apply
7. Mr. Miller is tiling his shower floor. The blueprint of the shower
floor shown uses a scale of 1 inch 3 feet. If the tile costs
$5.99 per square foot, how much will it cost to tile the
bathroom? Round to the nearest cent if necessary. The bathrooms height is 1.25 inches in the blueprint. The bathrooms width is 1.5 inches in the blueprint
$. 101.08
Step-by-step explanation:[tex]SUPERFACE=(4.5)(3.75)ft^2[/tex]
[tex]=16.875ft^2X[/tex]
[tex]Cos:\$5.99\times \frac{1}{At^2}\times16.875{\rm ft}^2[/tex]
[tex]Cost=\$101.08y.[/tex]
I hope this helps you
:)
Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.
How to calculate area of the shower floor?In that case we use the concept of area of rectangle.
The area of a rectangle is the measure of the size of the surface enclosed by a rectangle in a two-dimensional plane. It is calculated by multiplying the length of the rectangle by its width.
In mathematical terms, the formula for calculating the area of a rectangle is:
Area = Length x Width
To find the area of the shower floor, we need to convert the blueprint measurements to actual measurements.
1 inch on the blueprint represents 3 feet, so:
Height of shower floor = 1.25 inches * 3 feet/inch
Height of shower floor = 3.75 feet
Width of shower floor = 1.5 inches * 3 feet/inch
Width of shower floor = 4.5 feet
The area of the shower floor is then:
Area = Height * Width
Area = 3.75 feet * 4.5 feet
Area = 16.875 square feet
So the cost of tiling the bathroom would be:
Cost = Area * Cost per square foot
Cost = 16.875 square feet * $5.99/square foot
Cost = $100.86
Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.
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A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car travel in 2 hours? In your computations assume that 1 mile is equal to 1.6 kilometers
Answer:
150 miles
Step-by-step explanation:
speed = 120 km per hour
1 mile = 1.6 km
speed = 120 km per hr
divide 120 with 1.6 to get in miles=120/1.6
= 75 miles per hour
speed = 75 miles per hour
So, in 1 hr, it can travel 75 miles
the distance traveled by car in 2 hours = 75 * 2 = 150
Result : Speed = 75 miles per hour , distance = 150 miles
& TW CV Name: Math Buzz Eden's mom bought 3 cartons of organic eggs at the farmer's market. Each carton holds a dozen eggs. After she got home, she combined the eggs she bought at the market with the 4 eggs left in the refrigerator. Determine the total number of eggs. Write an equation with the lettere to represent the unknown quantity and solve. equation:
Answer:
40 eggs
Step-by-step explanation:
(12 x 3) + 4 = x
36 + 4 = x
40 = x
40 eggs total
The diagram shown is two intersecting lines. The measure of 5 is 47°.
Answer:
a) 37º
b) 143º
c) 2x - 5 = 143
Step-by-step explanation:
a) Angles 5 and 7 are vertical angles and therefore have the same measurements.
b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.
c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.
Which function is best represented by this graph? Brainliest
Answer:B
Step-by-step explanation:the slope is 1/4, and it crosses the y axis at -2.
Represent the number 144 in four different ways using repeated multiplication.
example: 4 x 4 x 3 x 3
Please help me with this question I am having difficulty with it
Answer:
The first x=4 y=8
Step-by-step explanation:
2x-5 = y-5
x+1 = y-3
Multiply the second by -2(to eliminate x)
2x-5 =y-5
-2x-2= -2y+6
ADD BOTH
-7 = -y+1
y=8
PLUG y
x+1 =y-3
x+1 =8-3
x+1=5
x=4
Which ratio is less than 7/15?
9/15
2/5
3/5
24/45
Answer:
2/5 :)
Step-by-step explanation:
Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is
10.5 m long. How long is the hall on her plan?
cm
Answer:
Step-by-step explanation:
Scale factor = 4 : 500
= 1 : 125
Let the length of hall in her plan = x cm
1 : 125 = x : 1050
[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]
Cross multiply,
1*1050 = x*125
[tex]\sf x =\dfrac{1050}{125}[/tex]
x = 8.4 cm
The length of the hall in her plan = 8.4 cm
Find the vertex of this parabola:
y = -4x2 + 8x - 13
Answer:
Below in bold.
Step-by-step explanation:
y = -4x2 + 8x - 13
Divide first 2 terms by -4:-
y = -4(x^2 - 2x) - 13
Convert to vertex form by completing the square:
y = -4[(x - 1)^2 - 1] - 13
y = -4(x - 1)^2 + 4 - 13
y = -4(x - 1)^2 - 9 <---------- Vertex form
y = a(x - j)^2 + k <---------- General form with vertex = (j, k).
So comparing, we see that the vertex is (1, -9).
Evan walked 2 1/8 miles to his aunts house. He has already walked 6/8 mile. How much farther does Evan have to go?
Rewrite 2 1/8 as 17/8
Now subtract:
17/8 - 6/8 = 11/8 = 1 3/8
answer : 1 3/8 miles left
Laura and Martin obtain a 20-year, $170,000 conventional mortgage at 8.5% on a house selling for $190,000. Their monthly mortgage payment, including principal and
interest, is $1475.60.
a) Determine the total amount they will pay for their house.
b) How much of the cost will be interest?
c) How much of the first payment on the mortgage is applied to the principal?
C. How much of the first payment on the mortgage is applied to the principle
may anyone please help me with this too , thank you so much
7) 7bc cubed
8) 6x to the power 8
The product of two positive rational numbers is greater than either factor.
Provide at least two examples to show that this statement is only sometimes true
Answer: 1/2 x 1 = 1/2
1/3 x 3 = 1
Step-by-step explanation: 100% Sure! :D
Paul rents a car for $30 a day. Write an expression to show the relationship between the number of days Paul rents the car and the total dollars (t) he spends?
The expression that can be used to show the relationship between the number of days and the total dollars (t) he spends is t = 30d
How to write expressionsCost of renting a car per day = $30Number of days Paul rents the car = dTotal amount John spends = $tThe equation:
Total = cost per day × number of days
t = 30 × d
t = 30d
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A rectangular table cloth measures 150cm by 200cm.the area of the table cloth in square meters is ?
Answer:
30,000
Step-by-step explanation:
150 x 200
Explanation:
To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.
Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of each pen if. Y=80
I need it know
Answer:
30 pesos
Step-by-step explanation:
Given
Had 200 pesos originallyspends 'y' pesos on a notebookBought 4 colored pens with the rest of the moneySolving
Let money of the pen = x, money of notebook = y4x + y = 2004x + 80 = 2004x = 120x = 30 pesosQuestion 2:
If the following frequency distribution shows the average number of students per teacher in the 50 major cities of Pakistan
Class Limits Frequency
9-11 3
12 – 14 5
15 – 17 12
18 – 20 18
21 – 23 8
24 – 26 4
Table 1
Determine
• Range
• Mean
• Median
• Mode
• Standard Deviation
• Relative Dispersion
• Variance
• Kurtosis
With the frequecy distribution shown in the 50 cities of pakistan,
range = 18mean = 18.1median = 19.8333mode = 19.125kurtosis = 2.7508Standard deviation = 3.75How to find the Range= highest value - lowest value
= 26.5 - 8.5
= 18
How to find the mean= ∑ f x / ∑ f
= ∑ f x / N
= 905 / 50
= 18.1
median
= lower limit + ( N/2 - C ) * h / ( frequency of the class interval )
C = cumulative frequency preceeding to the median class frequency
h = class interval
= 18.5 + ( 50 / 2 - ( 5 + 12 ) ) * 3 / 18
= 18.5 + 1.3333
= 19.8333
How to find the modeThe mode is the value with the highest frequency occurence. This is under class 18 - 20
mode = lower limit + ( ( f1 - f0 ) / (2*f1 - f0 - f2 ) ) * h
f1 = fequency of the modal class
f0 = freqency of the preceeding modal class
f2 = frequency of the next modal class
h = class interval
= 18.5 + ( ( 18 - 12 ) / (2 * 18 - 12 - 8 ) ) * 3
= 18 + ( 0.375 ) * 3
= 19.125
How to find the standard deviation= sqrt ( 1 / N ∑ f ( x - x' )^2 )
= sqrt (1 / 50 * 706.5
= 3.7589
How to solve for relative dispersion= standard deviation / mean
= 3.7589 / 3
= 1.2530
What is the variance?= ( standard deviation )^2
= ( 3.7589 )^2
= 14.1293
How to solve for kurtosis= ∑ f ( x - x' )^4 / ( N * ( standard deviation )^4 )
= 27459.405 / ( 50 * 3.7589^4 )
= 2.7509
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solve please. find volume
The figure given in the image is a cuboid which have 3 sides, with Length, breadth and height, it's basically a 3-D shape, so here for volume of the cuboid, we can just multiply all the sides and we will be just done then after writing the SI unit of volume against it
[tex]{:\implies \quad \sf So,\:\: Volume=4\dfrac{2}{5}\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=\bigg(\dfrac{20+2}{5}\bigg)\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=\dfrac{22}{5}\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=22\times 2\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=44\times 3=\boxed{\bf{132\:\: m^{3}}}}[/tex]
Ann got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbons at a craft store. The price of the ribbon was 17 cents per yard. If after that purchase there was $10.41 left on the card, how many yards of ribbon did Ann buy?
Since the price of the ribbon is 17 cents per yards, the number of yards of ribbon Ann bought is 27 yards.
How to find the length(yard) from the cost(dollars)She has 15 dollars in her debit card.
She bought bulk ribbons at a craft store.
The price of the ribbon is 17 cents per yards. Therefore,
17 cents = 0.17 dollars
Hence,
Amount debited from her account = 15 - 10.41 = $4.59
Therefore, she spent a total of $4.59 .
The yards of ribbon bought = 4.59 / 0.17
The yards of ribbon bought = 27
Therefore, Ann bought 27 yards of bulk ribbon.
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The mathematics faculty at a college consists of 12 professors, 6 associate professors, 9 assistant professors, and 8 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer: [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
P(a) or P(b) = P(a) + P(b)
This means that the probability of a or b is the same of the probability of a plus b
So let's see the probability of a, selecting a professor
[tex]\frac{12}{12+6+9+8} \\\\\frac{12}{35}[/tex]
We won't simplify just yet so that addition will be easier later
Now let's see the probability of selecting b, an instructor
[tex]\frac{8}{12+6+9+8} \\\\\frac{8}{35}[/tex]
Now add the 2 probabilities together
[tex]\frac{12}{35} +\frac{8}{35} =\frac{20}{35}[/tex]
Simplify.
[tex]\frac{20}{35} =\frac{4}{7}[/tex]