Answer:
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9Step-by-step explanation:
Proportion can be defined as the effect of changing one quantity on the other.
Given that
‘c’ is directly proportional to‘d’
It can mathematically be written as:
c∝d
A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality
[tex]c =kd[/tex]
Given that
c = 24 when d = 4
Putting the values
[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]
Putting the value of k
[tex]c = 6d[/tex]
Putting d = 8
[tex]c = 6(8) = 48[/tex]
Putting c = 54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9Find the distance, midpoint, and slope of line AB (-2,-1) and B(6,3)
Answer:
The correct answer is (2,1)
Step-by-step explanation:
The distance, midpoint, and slope are 4√5 , (2 , 1) , 1/2 respectively.
What are the distance, midpoint, and slope between two points?For any two points A( x₁ , y₁ ) B( x₂, y₂) the distance, midpoint, and slope are given by: 1) [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
2) M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }
3) m= y₂ - y₁ / x₂ - x₁
Given here the points A(-2,-1) and B(6,3)
substituting the values we get,
1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]
[tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]
[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]
[tex]d =4\sqrt {\left5 }[/tex]
2) M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2 }
= (2 , 1)
3) m = { (6 - (-2) / (3 - (-1)) }
= 1/2
Hence, distance, midpoint, and slope are 4√5 , (2 , 1) , 1/2 respectively.
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Sue juiced oranges from her orange trees. From the first two trees she collected 2/6 gallon of juice from each tree. The last tree yielded 2/3 gallon. After using some of the juice she collected for breakfast, Sue found that she only had 3/4 gallon of juice left. How much juice did she use for breakfast?
Answer:
Step-by-step explanation:
She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree. To add these two fractions, both must have common denominators.
Multiply both the numerator and denominator of 2/3 by 2. This results in 4/6.
Now you have 4/6 + 2/6 which equals 8/6. This can be converted to 1 and 2/6, further simplified to 1 and 1/3. Therefore, Sue collected a total of 1 and 1/3 gallons of orange juice.
Part A: Enter values for the ratio of
y
for the equation y = 2x.
2
х
Y
y
Value of
C
__1
-2
1
2
2
4
Y
Part B: Enter values for the ratio of for the equation y= 2x + 2.
I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWERS!!
Alex was biking along a 48 mile trail. First half of the time he was biking twice as fast as the second half of the time. If he spent 4 hours on the road, how fast was he biking at first?
Answer:
The speed in the first part is 16 mph.
Step by step explanation:
The total distance is 48 miles. The total time is 4 hours.
In the second part of the trip, he was traveling at speed s for distance d for 2 hours.
In the first part of the trip he was traveling
at twice the speed, or 2s, for distance 48 - d, for 2 hours.
speed = distance/time
distance = speed * time
First part of trip:
48 - d = 2s * 2
d + 4s = 48 Equation 1
Second part of the trip:
d = s * 2
d = 2s =
Equation 2
Equations 1 and 2 form a system of equations in two unknowns, d and s.
d + 4s = 48
d = 2s
Substitute 2s for d in equation 1.
2s + 4s = 48
6s = 48 =
s=8
The speed in the second part is 8 mph.
The speed in the first part is 2s = 2(8) =
16.
The speed in the first part is 16 mph.
Check:
d = 2s = 2(8) = 16
48 - d = 48 - 16 = 32
The second part is 16 miles. The first part is 32 miles.
16 miles at 8 mph takes 2 hours.
32 miles at 16 mph takes 2 hours.
2 hours + 2 hours = 4 hours.
Our answer is correct.
Answer: The speed in the first part is 16 mph.
Which of the following is equal to the square root of the cube root of 6 ? (1 point)
Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2
Answer:
b
Step-by-step explanation:
Last month, an airline made 2,905 reservations for flights from Cleveland, Ohio to Newark, New Jersey. After 25 cancellations, there were still 18 full flights. Which airplane made the flights?
Refer to the table to answer the questions.
A 2-column table with 4 rows. Column 1 is labeled Decimal with entries A, B, C, D. Column 2 is labeled Fraction with entries one-half, five-ninths, StartFraction 5 over 90 EndFraction, StartFraction 11 over 20 EndFraction.
Which letter should be replaced with the repeating decimal 0.5?
A
B
C
D
Answer:
d
Step-by-step explanation:
d should be kept with it
Answer:
The correct answer is the letter D. :)
Step-by-step explanation:
m−2 over 4 =5 over 20
Five minus one fourth
Answer:
can i tell u this story about when i had a dump, so like i just ate chetos so my butt was on fire and their was some fish i saw and i dicided it looked good so i ate it.
Step-by-step explanation:
oh yeah and the answer is 4.75
Answer:
19/4. /means fraction symbol
Step-by-step explanation:
5-1/4
20-1/4
19/4
Why do parallel lines never cross?
Answers Are
Answer:
C. Because they have the same slopes and different y-intercepts
Step-by-step explanation:
Answer:
Your answer would be the 3rd one.
Because they have the same slopes and different y-intercepts.
I hope that this is the answer you were looking for!
Have a great day!
What is the slope of the line with point (3,-5) and (-7,10)?
Answer:
-3/2
Step-by-step explanation:
10 -(-5)/-7-3
15/-10
-3/2
A business held a job fair for prospective employees. The number of women attending was 10 more than three times the number of men attending. A total of 180 people attended the meeting. Which system of equations could be used to find w, the number of women, and m, the number of men, at this meeting?
1. w = m + 10
w + m = 180
2. w = m + 10, , w + m = 180,
3w + m = 10
3. w + m = 180
3w + m = 10, , w + m = 180,
4. w = 3m + 10
w + m = 180
Answer:
Step-by-step explanation:
Option 4 is the correct answer
What is the solution to
2x + 8 < 3x - 4?
A) X < 12
B) X > 12/5
C) X > 12
D) X < 12/5
Answer:
A
Step-by-step explanation:
Answer:
The answer is choices C.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+8<3x−4
Step 1: Subtract 3x from both sides.
2x+8−3x<3x−4−3x
−x+8<−4
Step 2: Subtract 8 from both sides.
−x+8−8<−4−8
−x<−12
Step 3: Divide both sides by -1.
−x/-1<−12/-1
x>12
Which complex number will be located above the real axis and to the left of the imaginary axis?
A.
4i
B.
2 − 4i
C.
4i − 1
D.
-1 − 2i
Answer:
Yo dum//b butt
Step-by-step explanation:
i added u on snap cause i got a trap phone hehe so please add me backkkkkkkkk thhhhhhaaaaaaaaaaaaaaankkkkkkkkkkkkksssssssssssss
what is 130203 in cryptology
Answer:
idek
Step-by-step explanation:
idek
sdjdjdkkdeieoeoeoeoeeo
What is unit rate of 9 cups and 3 batches
Answer:
3 cups per batch
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
What is 9 divided by 3.... 3 ok so that is your answer. Hope this helped you!! Give brainliest..
Please help on question 12 or 13 as soon as possible
Answer:
to know the summation of angles: (n-2)*180
here (n) represent numbers of sides
12)we have 5 sides (n=5)
(5-2)*180=540
x=540-(105+135+92+87)=121
13)we have 8 sides (n=8)
(8-2)*180=1080
x=1080-(116+158+141+124+136+132+129)=144
I hope it will help
Refer to the circles to complete the following item.
Does AI = LD?
yes
no
Answer:
i believe it’s no. sorry if i’m wrong!
Step-by-step explanation:
What is the area of square UVWX?
Area= ... square units
Answer:
16
Step-by-step explanation:
4*4=16
Answer:
let's take the side XW
x =( -4, -4)
w = (-4,-8)
x1= -4 & x2 = -4
y1 = -4 & y2 = -8
using formula
[tex]d = \sqrt{ (x2 -x1) ^{2} + (y1 - y2) ^{2} } \\ = \sqrt[ ]{ (- 4 - ( - 4)) + ( - 4 - ( - 8))} \\ = \sqrt{0 + 4 } \\ = \sqrt{4} = 2sq.unit \: \\ now \: area \: of \: square \: = {side}^{2} \\ so \: = \: {2}^{2} = 4square \: unit \: [/tex]
here we end :P
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Work out
86
% of
570
kg
Answer:
The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.
Answer:
490.02kg
Step-by-step explanation:
In short-
86%= 86/100
"of" in maths is basically "multiply"
therefore,
86/100 * 570=x
0.86*570=x
x=490.02
help me please help
Answer:
D.) Not enough information
Step-by-step explanation:
The marks are the same, but they aren't placed in the same position in the triangles.
What is the solution set to this inequality?
x? - 12x+ 273-8
a
{x|x 3 or x 9)
{x|5SXS7)
{x|x S5 orx27)
{x|3 SXS9)
9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect
at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],
[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]
So,
[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
To know more about the diagonals
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amber must make up a vocabulary quiz. she can take it during her lunch or after school on wednesday, thursday, or friday. The tree diagram shows the possible combination of the times she can make up the quiz
Answer:
6
Step-by-step explanation:
Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4
yard pieces of yarn.
How many 6 1/4
yard pieces of yarn can Allen create from the 75 yard spool of yarn?
A. 6 pieces
B. 12 pieces
C. 20 pieces
D. 36 pieces
Answer:
B. 12 pieces
Step-by-step explanation:
75 / 6 1/4 or 75 / 6.25 = 12
Answer:
b (12)
Step-by-step explanation:
There are 123 goldfish in the tank. Goldfish like to swim 12 fish to a family. If 6 of the goldfish died before forming families, how many FULL families will be formed?
Answer:
Formed will be i think 9, but im not sure.
Which equations represent the phrase “y is two less than half of a number “?
Answer:
C and A
Step-by-step explanation:
What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!
Choose
A) 31
B) 34
C) 32
D) chicken wing
Answer: C.)32 Bestieeeee
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Una casa de dos plantas esta construida en un terreno rectangular de 66m² , tal como lo muestra los siguientes pasos si x es el frente de la casa y x+5 el largo. De la ecuacion cuadratica que define el area del terreno es x² + 5x-66=0 ¿Cuanto mide el frente de la casa?
Answer:
El frente de la casa es 6 metros.
Step-by-step explanation:
El area de la casa está dada por el área de un rectángulo:
[tex]A = f*l = x (x+5) = 66[/tex]
En donde f es el frente = x , l es el largo = x+5 y A es el área = 66m²
Si la ecuación cuadrática que define el área del terreno viene dado por:
[tex] x^{2} + 5x - 66 = 0 [/tex]
Resolviendo la ecuación cuadrática para x tenemos:
x₁ = -11 y x₂ = 6
Tomando el valor positivo, podemos decir que el frente de la casa es 6 metros.
Espero que te sea de utilidad!
Help ASAP if you want points and brainliest answer all of them
Answer:
5. D
3. B
2. C
4. miles per hour 2 1/8, hours per mile 8/17