The equation X/y = w/z satisfies the Dividendo Theorem.
The Dividendo Theorem, also known as the Proportional Division Theorem or the Constant Ratio Theorem, is a principle in mathematics that relates to ratios. According to the theorem, if two ratios are equal, then the ratios of their corresponding parts (dividendo) are also equal.
In the given equation X/y = w/z, we have two ratios on both sides of the equation. To determine if the equation satisfies the Dividendo Theorem, we need to compare the corresponding parts.
In this case, the corresponding parts are X and w, and y and z. If X/y = w/z, then we can conclude that the ratios of their corresponding parts are equal.
To understand why this is true, consider the concept of ratios. A ratio expresses the relationship between two quantities. When two ratios are equal, it means that the relationship between the corresponding quantities in each ratio is the same. In other words, the relative size or proportion of the quantities remains constant.
By applying the Dividendo Theorem to the equation X/y = w/z, we can determine that the ratios of X to y and w to z are equal. This implies that the relative sizes or proportions of X and y are the same as those of w and z.
Therefore, we can confidently say that the equation X/y = w/z satisfies the Dividendo Theorem.
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Write an recursive formula for a_n and the n^th term of the sequence 3, -18, 108, If You answer this, you might become Brainliest
Answer:
an=a1+(n-1)*-6
Step-by-step explanation:
a1= 3
the recursive formula is an= a1+ (n-1)d
d= how you get from one to the other
to get from 3 to -18 you could either subtract 21 or multiply it by -6
to find which one you have to look at the next number which is 108
to get from -18 to 108 you would either add 126 or multiply it by -6
since multiplying by -6 is in both that is the answer
d= -6
an=a1+(n-1)*-6
What is x- intercept of the equation 7x + 3y = 21
Answer:
no c xd estoy en séptimo no en otra cosa xd
PLEASE HELP ASAP!!!!! 50 POINTS!!!!
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply.
Answer:
6m,6m,13m
Step-by-step explanation:
PLZ HELPP REWARD BRIANLIEST
Answer:
x = 3 x = -4
x = 1 x = 8
Step-by-step explanation:
x² + x - 12
(x + 4) (x - 3)
x + 4 = 0
x = - 4
-----------
x - 3 = 0
x = 3
x² - 9x + 8
(x - 8) (x - 1)
x - 8 = 0
x = 8
-----------
x - 1 = 0
x = 1
Please help me: which statement is not true?
Answer:
I'd say III. Could be wrong.
Answer:
#3
Step-by-step explanation:
KL is shorter in length compared to CD which means if you divide both by BC they will not equal each other
Ribbon costs $1.25 per meter. What would be the cost of 250 centimeters rounded to the nearest cent? HINT:
centimeters to meters before calculating the price
Answer:
The answer should be $3.125 or $3.13 rounded.
Step-by-step explanation:
First I divided 1.25 by 100 because 1 meter equals 100 centimeters.
1.25 ÷ 100 = 0.0125
Now that we know that it costs 0.0125 for 1 centimeter we multiply it by 250.
0.0125 * 250 = 3.125
Since it says to round to the nearest cent, the answer should be 3.13
Hope this helps! :)
A_____is a ratio that compares two measures
Answer:
rate
Step-by-step explanation:
A rate is a ratio that compares two different quantities that have different units of measure.
Three friends are comparing their weekly paychecks. Donald discovers that he earned one-third of Michael's paycheque, and $80 less than Jacob's paycheque. Together, the three friends earned $2920 in one week. How much did each friend earn?
Answer: Michael's paycheque = $ 1704
Donald's paycheque = $ 568
Jacob's paycheque = $ 648
Step-by-step explanation:
Let x = Michael's paycheque
Donald's paycheque = [tex]\dfrac13x[/tex]
Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]
Together, the three friends earned $2920 in one week.
[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]
Michael's paycheque = $ 1704
Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]
Jacob's paycheque = $ 568+80 = $ 648
What is Turtle divided by Kitten? YALL I NEED HELP ASAP ON THIS!!!!!!1
Answer:
rabbit!
Step-by-step explanation:
:-)
9. Henry joined an art class that charges
$125 for the cost of supplies, plus $25
per class. Henry wants to spend no more
than $500 on art classes. Which
inequality can be solved to find the
number of classes Henry can take?
A 25x + 125 < 500
B 125x - 25 > 500
C 25x 2 625
D 125x + 25 S 500
Answer:
Step-by-step explanation:
[tex]25x+125\le 500[/tex]
Your family is on the way to Disneyland! On the freeway you have driven for 120 minutes at a constant speed of 65 miles per hour before you stop for lunch. After lunch you get back on the freeway with a bit of traffic and drive at a constant speed of 40 miles per hour for 30 minutes before stopping for gas. How far did you drive in all? Use a ratio method.
Answer:
150 miles
Step-by-step explanation:
A solid has an area of 1cm squared. The solid is dialated to a new area of 2,401cm squared what was the scale factor? Show your work
Answer:
1 : 2401
Step-by-step explanation:
Given that:
Area of solid = 1cm²
New area after dilation = 2401 cm²
The scale factor :
Old area : new area
1 cm² / 2401 cm²
Hence, the scale factor is
1 : 2401
A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?
Answer:
$2.3/gallon
Step-by-step explanation:
62.10 divided by 27 = 2.3
Answer:2.3$
Step-by-step explanation:
To find a unit rate you need to see how much for 1, so in this case you would divide 62.10 by 27 and get 2.3$ per gallon
Hayden reaches into his dresser and pulls out a red shirt, but does not like it and throws in onto the bed. What is the chance that the next shirt he pulls out of the dresser will be Purple?
A. 2/10
B. 4 in 10 chance
C. 4 in 9 chance
D. 1/9 chance
Answer:
how many of each color are in the dresser?
Step-by-step explanation:
What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Answer:
y = 1.25x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
( -4 , -3 ) ( 8 , 12 )
12 + 3 15 = 5
8 + 4 12 = 4
↑ slope = 5/4
↓ point slope form: y - y₁ = m ( x - x₁ )
y + 3 = 5/4 ( x + 4 )
y + 3 = 5/4x + 5
-3
y = 5/4x + 2
answer the quetions please look below
Answer:
38 in^2 and 26 in^2
Step-by-step explanation:
1. The formula of the area of a trapezoid is [tex]A = \frac{1}{2} (b_{1} + b_{2})h[/tex] where b = base and h = height.
So, [tex]A = \frac{1}{2} (7+12)(4)[/tex] = 38 [tex]in^{2}[/tex]
2. [tex]A = \frac{1}{2}(5+8)(4)[/tex] = 26 [tex]in^{2}[/tex]
No, Betsy is not correct. She likely forgot to multiply by 1/2 when calculating the area. The correct answer is 26 inches squared.
Halla el Perímetro y Area de las siguientes figuras: 1) Triángulo de lados 6 cm × 8 cm × 5 cm, con base en 8cm y altura de 3,73 cm. 2) Circunferencia de diámetro 4,5 cm.
Answer:
1) El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
Step-by-step explanation:
El perímetro es una medida de la distancia alrededor de una figura y el área da una idea de qué tanta superficie cubre dicha figura.
Entonces, el perímetro es la medida obtenida como resultado de la suma de los lados de una figura geométrica plana. Es decir, el perímetro es lo que mide el contorno de la figura.
El área de un triángulo es igual a base por altura dividido por 2.
Siendo r el radio de la circunferencia, el perímetro será calculado como:
P=2*π*r
y el área será:
A=π*r²
1) En este caso, el perímetro es calculado como:
P= 6 cm + 8 cm + 5 cm= 19 cm
Y el área del triángulo es calculada como:
[tex]A=\frac{base*altura}{2} =\frac{8 cm*3.73 cm}{2}[/tex]
A= 14,92 cm²
El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) Siendo el diámetro un segmento de recta que va desde un punto de la circunferencia a otro y pasa por el centro del círculo y l radio la distancia desde el centro del círculo hasta un punto de la circunferencia, entonces, el radio es la mitad del diámetro.
Siendo el diámetro de la circunferencia 4,5 cm, entonces el radio r tiene un valor de 2,25 cm.
Entonces el perímetro será calculado como:
P=2*π*2,25 cm
P= 14,14 cm
y el área será:
A=π*(2,25 cm)²
A= 15,90 cm²
La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
En el puenlo de tamalemeque desean construir un parque de forma rectangular con un camino diagonal cuanto debe medir el camino si el parque deberia tener de 80 metros de largo y 60 de ancho como se puede determinar la medida,argumente su respuesta utilizando lo que sabe de matematicas
Answer:
El camino diagonal debe medir 100 metros de largo.
Step-by-step explanation:
Podemos encontrar el camino usando Pitágoras:
[tex] D^{2} = L^{2} + A^{2} [/tex]
En donde:
D: es el camino diagonal = hipotenusa
L: es el largo = 80 m = cateto
A: es el ancho = 60 m = cateto
Entonces, el camino diagonal es:
[tex] D = \sqrt{L^{2} + A^{2}} = \sqrt{(80 m)^{2} + (60 m)^{2}} = 100 m [/tex]
Por lo tanto, el camino diagonal debe medir 100 metros de largo.
Espero que te sea de utilidad!
12y + 29y +48y + 2ly + 13y + 7y
Answer:
Add all of the numbers then put a Y at the end.
Step-by-step explanation:
its just combining like terms, if their all Y. its jist adding with a letter at the end
Can someone help me thank you I have to show my work for these problems
Answer:
4. perimeter = 232cm
area = 1600cm²
5. perimeter = 30m
width = 8m
Step-by-step explanation:
Perimeter is the sum of the all the sides of a figure.
Area is given as length times breadth
message me for the rest of the answers and explanation
can you say it in order
A real estate agent earns 3% commission for the sale of a $575,000 home. What is the commission earned?
A computer store pays $150 for a computer. The percent of markup is 45%.
What is the markup of the computer? What is the selling price of the computer?
A video game that regularly sells for $55 is on sale for 25% off.
What is the discount? What is the sale price of the video game?
Step-by-step explanation:
For the real estate agent: To find percent of a number, you can just divide by 100 and times it by the percent number, in this case it is 3.
$575,000 / 100 = $5,750
$5750 * 3 = $17,250
The agent earns $17,250.
For the computer store: Use the percentage and multiply it by 0.45, or whatever the percentage is.
150 * 0.45 = 67.5. This is the markup.
Now add the original value back to the markup.
150 + 67.5 = 217.5. This is the selling price of the computer.
For the video game: Use the percentage and multiply it by 0.25, or whatever the percentage is.
$55 * 0.25 = $13.75. This is the discount.
Now subtract the discount from the first value.
$55 - $13.75 = $41.25. This is the sale price.
Mrs. Wilson wants to buy a portable TV for her kitchen. She has space on her counter for a TV that is 18 inches high by 15 inches wide. The store salesperson asks for the length of the diagonal. What should she tell him?
Find q.
60 °
30 °
4
q
Write your answer in simplest radical form.
Answer:
q = 4√3
Step-by-step explanation:
the value of q = 4. root 3 = 4√3 units .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
What is the difference in finding the exact vs approximate volume?
Answer:
An exact number is one that has no uncertainty. An example is the number of tires on a car (exactly 4) or the number of days in a week (exactly 7). An approximate number is one that does have uncertainty. ... The number can be the result of a measurement.
Step-by-step explanation:
Jim mad 2/3 of a pound weighed pizza. He gave the pizza to 6 friends. What was the weight of pizza each friend got?
The scalene triangle ABC is translated 2 units to the right on a coordinate plane to form the scalene triangle DEF. The measure of segment AB=6 units, the measure of segment BC=5 units, the measure of segment CA=4 units, and m∠ABC=41°. Which of the following is a corresponding measure of triangle DEF?
Answer:
C: EF = 4 Units
Step-by-step explanation:
Dhruv is 24 years older than Sanjay.10 years back Dhruv’s age was five times the age of Sanjay. Find their ages.
Answer:
Sanjay age=16 years; Dhruv age = 40 Years
Step-by-step explanation:
Let Sanjay’s present age be ‘x’, then Dhruv age is x+24
10 years back, Sanjay’s age was (x-10) years and Dhruv’s age
was (x+14)
Given: x+14 =5(x-10)
X=16 years
Sanjay age=16 years; Dhruv age = 40 Years
30 is 60% of what number
Answer:
the answer is 50
Step-by-step explanation:
x=30×100/60
x=50
verify the segments are parallel
Step-by-step explanation:
I don't have a answer but try photo math app it might help you a lil