The other ratio equivalent to (3, 5) will be (9, 15).
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that, Cory is reading a graph of equivalent ratios. If 1 of the ratios is represented as 3,5 which could be another ratio
In the given options,
a) (6, 8) = 3, 4
b) (8, 6) = 4, 3
c) (9, 15) = 3, 5
Since, (9, 15) = 3, 5
Hence, the equivalent ratio will be (9, 15).
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Find the side of a square whose area is 36 sq.cm
Answer:
6cm
Step-by-step explanation:
LxW=Area
6x6=36
if the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by
If the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by
Let the length and width of the rectangle be a and b, respectively.
The area of this rectangle is ab sq. units
Now we have a new rectangle whose length is increased by 20% of that of the previous rectab\ngle
Hence, the length is 120/100 X a units
= 6a/5 units.
The width is increased by 50% hence the increased width will be
150/100 X b units
= 3b/2 units.
The area of the new rectangle is
6a/5 X 3b/2
= 9ab/5 sq, units
The area has increased by
9ab/5 - ab
= 4ab/5 sq. units = 0.8ab sq units
Now the percentage increase will be
0.8ab/ab X 100
= 80%
Hence the area has increased by 80%
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Keisha sells hats for $10.50 each and scarves for $12.75 each.
Write an equation that represents the total cost, C, of h hats and 6 scarves.
Enter your answer in the space provided.
The equation that represents the total cost, C, of h hats and 6 scarves is C = 10.50h + 76.5
How to write equation?
Amount Keisha sells each hat = $10.50
Amount Keisha sells each scarves = $12.75
Total cost = C
Number of hats = h
Number of scarves = 6
Total cost = Amount Keisha sells each hat(Number of hats) + Amount Keisha sells each scarves(Number of scarves)
C = 10.50(h) + 12.75(6)
C = 10.50h + 76.5
Therefore, C = 10.50h + 76.5 is the equation which represent the total cost of hats and scarves.
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PLEASE HELP I NEED ANSWER AND STEPS TO THIS
The measure of angle E in the triangle is 60°
What is an equation?An equation shows the relationship between numbers and variables in an expression.
From the diagram:
∠ABE + ∠EBC = 180° (sum of angles in a straight line)
120 + ∠EBC = 180
∠EBC = 60°
∠EBC = ∠ECB = 60° (isosceles triangles have equal base angles)
∠EBC + ∠ECB + ∠BEC = 180° (sum of angles in triangle)
∠BEC + 60 + 60 = 180
∠BEC = 60°
Angle E is 60°
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the radius of a car is 13 inchines. how many revolutions per minute is the wheel making when the car is traveling 40 mph
The wheel is making approximately 31028 revolutions per minute when the car is traveling 40 mph.
To calculate the revolutions per minute (RPM) of the wheel when the car is traveling 40 mph, we need to use the equation:
RPM = (Speed) / (Circumference)
First, we need to determine the circumference of the wheel. The circumference is equal to 2 × pi × radius.
Circumference = 2 × pi × 13 inches = 81.68 inches
Now we can use this value to calculate the RPM:
RPM = (40 mph) / (81.68 inches)
To convert the speed from mph to inches per hour, we multiply by the number of inches in a mile (63360 inches)
RPM = (40*63360 inches/hour) / (81.68 inches)
RPM = 31028.40353
Therefore, the wheel is making approximately 31028 revolutions per minute.
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Helppppppp ASAP please
Answer:
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
Step-by-step explanation:
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
This means m∠NQL + m∠QNM = 180
80 + m∠QNM = 180
m∠QNM = 180 - 80 = 100
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
which theorem is used in this parallelogram?
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
This means m∠NQL + m∠QNM = 180
80 + m∠QNM = 180
m∠QNM = 180 - 80 = 100
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Ms. Lea ate ¾ of a bag of skittles, Ms. Peter ate 65% of her bag of skittles and Mr. Thomas ate 0.85 of his bag. Ms. Cassie ate ⅘ of her bag. Who ate the most? Explain how you know.
2. Write in order from least to greatest
30%, 23%, ⅕, 0.18, 2/9, 0.25
The person who ate the most of their bag of skittles is Mr. Thomas.
The order from least to greatest is:
0.18, ⅕, 2/9, 23%, 0.25, 30%
How to find the ate the most ?To find the person who ate the most of their bag of skittles, convert all the quantities that the people had eaten, to decimals and the person with the largest decimal would have eaten the most:
Ms. Lea:
= 3 / 4
= 0. 75
Ms. Peter:
= 65 / 100
= 0.65
Mr. Thomas :
= 0. 85
Ms. Cassie:
= 4 / 5
= 0.80
Mr. Thomas therefore ate the most.
How to order the quantities ?Once again, convert all the decimals and then order them:
30%:
= 30 / 100
= 0. 30
23% :
= 23 / 100
= 0.23
1 / 5 :
= 1 ÷ 5
= 0. 20
2 / 9 :
= 2 ÷ 9
= 0.22
The order is therefore:
0.18, ⅕, 2/9, 23%, 0.25, 30%
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What is an angle that forms a square corner and has a measure of 90°
Answer:
right angle
Step-by-step explanation:
its 90
I have always been curious about this question.
What is 2+2 ???
Is it 22 or 4
Answer:
Step-by-step explanation:
both >:D
Answer: 4
Step-by-step explanation:
1. Hold up two fingers on both hands.
2. Then you count how many fingers are up on both hands.
3. Then you put your answer on your paper
4. Last is you turn it in
Read the problem below about Uncle Ralph. You are asked to solve it in two different ways and then reflect on your method of solution.
Uncle Ralph says that if you can tell him the number of each type of coin in his pocket, then you can have the money. He gives you this information.
• He has only dimes and quarters.
• He has 17 coins in his pocket.
* The coins are worth $3.35
Can you get Uncle Ralph's money?
a. Solve the problem graphically. (Desmos?)
b. Solve the problem algebraically.
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
what is solution ?addressing a problem by a method or action; giving a justification for the remedy. a number of different variable values that all agree with an equation, specifically The solution is any value of a variable in an equation that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal and so fulfills the equality. The act of solving an equation entails locating its solution or solutions. One approach to express a solution's concentration is as a percentage of a solute in the solvent. The mass of the solute to the mass of the solution ratio or the mass of the solute to the mass of the solution ratio are two other ways to calculate the percentage.
given
q represents the number of quarter
17 - q represents the number of dimes
0.25q + 0.10(17 - q) = 3.35
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
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parabolic cylinder Definition
In mathematics, especially in analytical geometry, a parabolic cylinder is a three – dimensional quadratic surface (or a quadric surface) given by the equation {{x}^{2}}+2ay=0x 2
+2ay=0. In other words, a parabolic cylinder is a cylinder having a parabola as its directrix. Thus, it is a developable quadric surface. However, not all cylinders are quadric surfaces.
A parabolic cylinder is a three-dimensional surface that is defined by a specific equation in the form of {{x}^{2}}+2ay=0.
It is considered a special type of quadric surface, which is a general term used to describe a wide range of surfaces that can be defined by a quadratic equation. Quadric surfaces include conic sections (such as circles, ellipses, and parabolas), cylinders, and hyperboloids, among others.
The key characteristic of a parabolic cylinder is that it is a cylinder with a parabola as its directrix. The directrix of a parabolic surface is a line that the parabola is symmetric about. In the case of a parabolic cylinder, the parabola is the cross-section of the cylinder, which means that if you were to slice the cylinder perpendicular to its axis, you would get a parabolic shape.
--The question is incomplete, answering to the question below--
"Define parabolic cylinder."
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The diagram shows a square pizza box with side lengths of
18 inches. In the box is a circular pizza with a radius of 8
inches. What is the difference between the area of box and
the pizza?
Use π = 3.14 and round your answer to the nearest
hundredth.
Please help
Answer: The area of the square pizza box is 324 square inches.
Step-by-step explanation:
The area of the square pizza box is 18 inches x 18 inches = 324 square inches. The area of the circular pizza is π x (8 inches)^2 = 201.06 square inches. The difference between the area of the box and the pizza is 324 square inches - 201.06 square inches = 122.94 square inches. (rounded to the nearest hundredth).
HELP!
im not to sure on this one...
Can anyone please help me answer this question?
Show that the following statement is true for all natural numbers n
a. 1 + 2 + 3 + ⋯ + = n (n + 1)/ 2
b. 1 + 4 + 7 + ⋯ . +(3 − 2) = n (3n - 1)/ 2
Step-by-step explanation:
bfuchx mkch
vncjv
nck
vk
fhf
Answer is in the attached png file
Solve the inequality 7/2 > b + 9/5
Answer:
7/2 > b + 9/5
-9/5 -9/5
7/2-9/5>b
35/10-18/10>b
17/10>b
1 7/10 > b
b<17/10
b<1 7/10
I rewrote the inequality in many forms just in case if you needed it. The bolded forms are all the same except two have improper fractions, two have mixed numbers, and the b is on the right hand side for two whereas in the other two b is on the left hand side.
Step-by-step explanation:
Answer:
b < 17/10
Knowledge NeededTo solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.
Rule
If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.
However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.
For example:
> to <
[tex]\geq[/tex] to [tex]\leq[/tex]
QuestionSubtract 9/5 on both sides.
7/2 - 9/5 > b + 9/5 - 9/5
Combine like terms,
7/2 - 9/5 > b
Find the LCD of 7/2 and 9/5 to solve.
LCM of 2 and 5: 10
Multiply both top and bottom of both fractions by 10/their denominator.
35/10 - 18/10 > b
17/10 > b
b < 17/10
HELP PLEASE IM CATCHING UP LAST MINUTE!!!! :((((
Answer: y = 2x + 4
Explanation: Find the slope, and then create the equation using y=mx+b form.
What is a common way to remember the definitions of the trig ratios
The SOH-CAH-TOA is an easy way to remember trig ratios.
What are trigonometric ratios?
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle.
SOH-CAH-TOA: an easy way to remember trig ratios
The word sohcahtoa helps us remember the definitions of sine, cosine, and tangent. Here's how it works:
SOH, Sine is opposite over Hypotenuse sin(A) = opposite/hypotenuse
CAH, Cosine is Adjacent over Hypotenuse cos(A) = Adjacent/hypotenuse
TOA, Tangent is opposite over Adjacent tan(A) = Opposite/Adjacent
For example, if we want to recall the definition of the sine, we reference
SOHS, since sine starts with the letter S. The O and the H help us to remember that sine is opposite over hypotenuse.
Hence, the SOH-CAH-TOA is an easy way to remember trig ratios.
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Bernie wants to write equations in the form y=mx+by=mx+b for the lines passing through point pp that are parallel and perpendicular to line rr. First he finds the slopes of these two lines. What could he do next to find the yy-intercepts?.
The next step to find the y intercepts is the substitute the value of m2 and coordinate of point P in the equation of the line intercepts from equation y= mx + b and then solve for b in each equation.
Bernie wants to write equations in the form of y=mx+b where m stands for slope. The line passing through the point P and that is perpendicular to the s and parallel to the line r.
we are aware that if two lines are parallel then the slopes are equal.
So, m1=m2
and if two lines are perpendicular then product of slopes equal to -1
m1×m2=-1
the y intercepts are the point of intersection between the straight line.
y = mx +b and the y axis. The y intercepts value of y when x=0.
The next step to find the y intercepts is the substitute the value of m2 and the coordinate of point P in the equation of the line intercept from equation y=mx +b and then solve for b in each equation.
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8(x - 5) - 3x
5-4(2x-1)
x-3(4x+5)
Answer:
5x-40
-8x+9
11x-15
Step-by-step explanation:
8x-40-3x
8x-3x-40
5x-40
~
5-8x+4
5+4-8x
9-8x
~
x-12x-15
11x-15
25. if only the positive integers from 1 through 49, inclusive, are written on a piece of paper, what is the sum of all the digits that are written on the paper?
The sum of all the digits that are written on the paper is 625.
The numbers from 1 to 49 inclusive can be represented as a list of digits from 1 to 49. To find the sum of all the digits, we can use the formula for the sum of the first n natural numbers.
In this case, 49 is the n-th natural number, so the sum of all the digits is n(n+1)/2. The sum of the digits of the numbers between 1 and 49 is 49(50)/2 = 1225.
We can also find the sum of digits by adding up the digits of the numbers from 1 to 49 one by one, we can see that every number from 1 to 49 has at least one digit and a maximum of two digits.
The numbers from 1 to 9 have one digit, and numbers from 10 to 49 have two digits. To find the sum of the digits, we will add all the digits of the numbers from 1 to 49.
The digits of the numbers between 1 and 9 are 1, 2, 3, 4, 5, 6, 7, 8, 9, and the digits of the numbers between 10 and 49 are 1, 2, 3, 4, 5, 6, 7, 8, 9.
The sum of the digits of the numbers between 1 and 49 is 1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9 = 90.
In conclusion, the sum of all the digits that are written on the paper is 625, this can be found by adding up the digits from 1 to 49, every number from 1 to 49 has at least one digit and a maximum of two digits, the numbers from 1 to 9 have one digit and numbers from 10 to 49 have two digits.
The sum of the digits of the numbers between 1 and 49 is 90, this can be found by adding 1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9.
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I need help with this please I need someone
Answer:
the question is not clear enough to be answered so please state it well
a ton is defined as 2000.0 lbs and 1.00 kilograms is approximately 2.2 lbs. how many grams are in 1.00 tons?
1.00 tons is 907185 grams.
1kilogram-2.20462 lbs -------1
1 ton= 2000lbs -------2
from 1 and 2
1 ton = 2000/2.2 kilogram
2000lbs =909.09 kilogram
∴1 ton= 909.09 kilogram
Now 1 Kilogram =1000gram
so, 909.09 kilogram= 1000x909.09
=907185 grams.
Therefore, 1.00 tons is equivalent to 907185 grams.
Ton is one of the several units of measurement along with pounds, kilograms, and grams for weight measurement. Pounds is denoted by lbs. Ton is of three types:
short ton- It is equivalent to 2240lbs. It is widely used in the USAlong ton- It is equivalent to 2000lbs. It is widely used in the UKtonne- This is equivalent to 2,204.6226 lbs or 1000 kilograms.To know more about weight measurement visit:
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4p^2-p=0
Greatest common factor? I think?
The factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.
What is greatest common factor?The greatest common factor, which is the product of two or more numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's factors have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF).
Given that [tex]4p^2 - p = 0[/tex]:
Solve the equation to find the value of p:
[tex]4p^2 - p =0\\\\p(4p -1 ) = 0\\[/tex]
Here, the value of p = 0 or the value of (4p - 1) =0.
For (4p -1) = 0, the value of p is:
p = 1/4
Hence, the factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.
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Is 11 over 20 greater than 1 or less than 1
Answer:
11/20 is less than
Step-by-step explanation:
Since 11/20 is a fraction and 1 is a whole number.
Kim has 0.2 of a book left to read. She plans to read the same amount of the book each day for 5 days. How much of the book will she read each day? (easy 5th grade question)
KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Kim has 0.2 of a book left to read. She plans to read the same amount of the book each day for 5 days.
Kim reads the remaining part of the book in 5 days
Thus in 5 days she reads 0.2 parts of the book
Then in 1 day she would read 0.2/5=0.04 parts of the book
Hence, KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.
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A sum of ` 4000 is to be used to give 10 cash prizes to students
of a school, for their overall academic performance. If each
prize is ` 50 less than its preceding prize, find the value of each
prize.
The value of each prize based on the information is 625.
How to calculate the value?From the information, the sum of 4000 is to be used to give 10 cash prizes to students of a school, for their overall academic performance and each prize is 50 less than its preceding prize.
Based on the information, the following can be deduced:
a = first term = unknown
n = 10
d = common difference = -50
This will be slotted into the arithmetic sum as:
n/2 [2a + (n - 1)d]
10/2[2a + (9 × -50)] = 4000
a = (4000 + 2250) / 10
a = 625
The value is 625.
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Please help me on this
Answer:
D. I, II, III, and IV
Step-by-step explanation:
When looking at a parallelogram you know that Q'R'S'T' is 2/3 the size of QRST.
Due to this you know that the length of QR is 2/3 of Q'R'
Due to the image you also know that R' and T' are the same angle, and since angles do not change size like side lengths, you know that angles R' T' and R and T are all equivalent
That guarantees III to be correct as well since angles Q and Q' are equivalent
IV is also correct because, T'S' is 2/3 of TS
Which type of systems of linear equations in two variables has no solution?
Answer:
If one of the equations of the system of linear equations with two variables has no solutions, then the system of equations has no solutions.
Solve for x. (You will have two answers.) *
|3x - 5| = 11
Your answer
Answer:
x = 16/3 , -2
Step-by-step explanation:
Solving an absolute value equation
|3x - 5| = 11
Separate into two equations, one positive and one negative.
3x-5 = 11 and 3x-5 = -11
Add 5 to all sides
3x-5+5 = 11+5 3x-5+5 = -11+5
3x = 16 3x = -6
Divide by 3
3x/3 = 16/3 3x/3 = -6/3
x = 16/3 x = -2
Answer:
13x=11+51(collecting like terms)
13x=62
make X subject of formular
X = 62/13
X= 4.76 or 4.8
multiply and divide fraction i ready quiz level e
Answer:
Step-by-step explanation:
the answer
actually its option b