Answer:
10
Step-by-step explanation:
If there is a direct relation between two variables x and y then it can be represented as
y = kx ,
where y is dependent variable
x is independent variable
k is constant of variation
_____________________________
First condition
y = 400
x = r
using y = kx then relationship will be
400 = kr
finding k here
k = 400/r
Second condition
y = r
x = 4
using y = kx then relationship will be
r = 4k
finding k
k = r/4
since in both condition equation is same
thus, value of k will also be same
thus,
400/r = r/4
=> 400*4 = r*r
=> 1600 = r^2
[tex]\sqrt{r^{2} } = \sqrt{1600} \\r = 40[/tex]
Thus, 40 is the value of r
k = r/4 = 40/4 = 10
Thus, constant of variation is 10 which is correct choice.
To cross validate
k = 400/r = 400/40 = 10
Answer:
40
Step-by-step explanation:
[tex]\frac{r}{400}[/tex] = [tex]\frac{4}{r}[/tex]
cross multiply - 400*4 = 1600 and r*r = r^2
square both - √1600 = 40
HURRY!!! ILL MARK U BRAINLIEST!! After completing the fraction division StartFraction 7 Over 3 EndFraction divided by StartFraction 2 Over 9 EndFraction, Bai used the multiplication below to check his work. StartFraction 21 Over 2 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 42 Over 18 EndFraction = StartFraction 7 Over 3 EndFraction Which is the most accurate description of Bai’s work? Bai found the correct quotient and checked his work using multiplication correctly. Bai found the correct quotient but checked his work using multiplication incorrectly. Bai found an incorrect quotient but checked his work using multiplication correctly. Bai found an incorrect quotient and checked his work using multiplication incorrectly.
Answer:
The answer is a.
Bai found the correct quotient and checked his work using multiplication correctly.
Step-by-step explanation:
I know this cuz I did the test on edge :))
Anyways plz give me the brainliest!!
Answer:
ITS A
Step-by-step explanation:
i did it on edge 2020
pls give Brainliest.
pleasee help me
2t+ 1 = 3t-1 + 3
3 4
Answer:
t = -1
Step-by-step explanation:
[tex]2t + 1 = 3t - 1 + 3[/tex]
Collect like terms and simplify
[tex]2t - 3t = - 1 + 3 - 1 \\ - t = 1[/tex]
Divide through by -1
[tex] \frac{ - t}{ - 1} = \frac{ 1}{ - 1} \\ t = - 1[/tex]
Answer:
t = - 2
Step-by-step explanation:
[tex]\frac{2t + 1}{3} = \frac{(3t-1) + 3}{4}[/tex]
First we need to cross multiply to get rid of the division to make it easier to solve.
Multiply 2t+1 by 4 and (3t-1) + 3 by 3
4 ( 2t + 1 ) = 3 ( ( 3t - 1 ) + 3 ) On the right we need to combine terms.
4 ( 2t + 1 ) = 3 ( 3t - 1 + 3 )
4 ( 2t + 1 ) = 3 ( 3t + 2 ) Multiply
4 * 2t + 4 * 1 = 3 * 3t + 3 * 2 Remember order of operations. Multiplication comes before addition and subtraction.
4 * 2t + 4 * 1 = 3 * 3t + 3 * 2
8t + 4 = 9t + 6 Subtract 8t from each side
8t - 8t + 4 = 9t - 8t + 6
4 = t + 6 Subtract 6 from each side
4 - 6 = t + 6 - 6
4 - 6 = t
- 2 = t
Which list of integers is in order from greatest to least? -11, -18, -33, 9, 24 -33, 24, -18, -11, 9 24, 9, -33, -24, -11 24, 9, -11, -24, -33
Question
Which list of integers is in order from greatest to least?
a) -11, -18, -33, 9, 24
b) -33, 24, -18, -11, 9
c) 24, 9, -33, -24, -11
d) 24, 9, -11, -24, -33
Answer:
d) 24, 9, -11, -24, -33
Step-by-step explanation:
The question asked us which list of integers is in order from greatest to least. This means, we should arrange the integers in descending order from the highest to the least or lowest number.
24< 9< -11< -24 < -33
Hence, from the greatest to the least =
24, 9, -11, -24, -33
Option d), is correct.
Please help!!! I'll mark you brainiest and give you as many Points as possible!!!!!
Answer:
Option C
Step-by-step explanation:
[tex]f(x) = 40( \frac{1}{4} )^{x} [/tex]
Answer: its a
Step-by-step explanation:
What would happen if I double the 4 and the 6 in 4-6
The answer is -4. The answer just is multiplied by 2.
[GIVING BRAINIEST] What is 18/6
Answer:
3
Step-by-step explanation:
18/6 = 3
The following graph shows a proportionality between y and x in the graph ?
Answer:
3/1 is the ans
Step-by-step explanation:
here y is in 3
and x is in 1
so proportonality will be 3/1
-2, -1, -1, 0, -1, 1, -2, … Find the next 3 numbers in the sequence above. Describe the pattern.
Answer: -2, -1, -1, 0, -1, 1, -2, -1, -1, 0
Step-by-step explanation:
When you are looking at the problem
" -2, -1, -1, 0, -1, 1, -2, … Find the next 3 numbers in the sequence above. Describe the pattern."
you want to observe the pattern, now For example
1, 2, -1, -4 .. and so on
so there is a pattern here if looked at hard enough it goes 1 - 2 = -1 - -3 = -4
when you find the pattern it gets really easy.
Hope this helped!
Between which two integers does square root of /51 lie
Answer:
7 and 8
Step-by-step explanation:
Consider the perfect squares either side of 51
49 < 51 < 64 , thus
[tex]\sqrt{49}[/tex] < [tex]\sqrt{51}[/tex] < [tex]\sqrt{64}[/tex] , that is
7 < [tex]\sqrt{51}[/tex] < 8
Answer:
7 and 8.
Step-by-step explanation:
7^2 = 49 and 8^2 = 64.
Convert the decimal to a fraction. 0.185
Answer:
37/200
Step-by-step explanation:
.185= 185/1000
reduce to- 37/200
Hope this helps.
What is m RMS in the figure below?
RA
P
M
128°
T
A 26
B 38
C 52
D 128
Answer:
Option (B)
Step-by-step explanation:
There are two lines PS and QT intersecting each other at a point M.
It's given that m∠PMT = 128° and m∠QMR = 90°
Since ∠PMT and ∠QMS are the vertical angles so these angles will be equal in measure.
∠PMT = ∠QMS
128° = m∠QMR + m∠RMS
128° = 90° + m∠RMS
m∠RMS = 128° - 90°
m∠RMS = 38°
Therefore, Option (B) will be the answer.
The parking lot at a grocery store has 90 cars in it. 90% of the cars are blue. How many cars are blue?
a 10 cars
b 81 cars
c 810 cars
d 100 cars
Answer:
81 blue cars
Step-by-step explanation:
Total Cars = 90
How much % are blue = 90
=> 90 x 90/100 = How many cars are blue
=> 8100/100 = the number of cars that were blue
=> 81 = cars that were blue.
There 81 blue cars in the parking lot.
Daryl is twice the difference of Amy’s age and 5. If their combined age is 50, how old is Darly
Answer:
30
Step-by-step explanation:
Janice published a novel. Last month the book sold 1326 copies, earning Janice a total of $1579.76. This month the book sold 1445 copies. How much should Janice expect to receive in royalties this month?
Solve for x. Round if needed. Image is below.
Answer:
x = 16
Step-by-step explanation:
3x + 1 = 49 ( vertical angles )
Subtract 1 from both sides )
3x = 48 ( divide both sides by 3 )
x = 16
Find and describe the error in the followig work -3(2x+3)=21 -6x+9=21 -6x=12 x=-2
Answer:
-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.
Step-by-step explanation:
When you distribute -3 with 2x+3 you multiply both values by -3.
-3*2x = -6x
-3*3 = -9 <- This is where the error is. It's -9, not +9.
Describe the steps to copy angle CAB∠ C A B.
Answer:
Step-by-step explanation:
Construction: To copy angle CAB.
i. On angle CAB, with center A and any radius; draw an arc to intersect CA at E and AB at F.
ii. Place a divider at EF to copy the angle.
iii. Draw a separate straight line MN of approximate length to AB.
iv. Mark point P on MN. Place the divider with radius EF at P to mark Q.
v. Draw a line LM from M through Q.
vi. Therefore, angle CAB would be equal to angle LMN.
15+21 distributive property
what would be the answer to g+3=17
Answer:
g = 14
Step-by-step explanation:
g + 3 = 17
minus 3 from both sides
g = 14
What is the justification for the step taken from line 2 to line 3?
Answer:
They subtracted 2x from both sides.
Step-by-step explanation:
They removed 2x from each side because in order to find x it will have to be removed on one side. Since 2x - 2x = 0 it is 2x is out of the equation for the right side and on the left side -2x -(-4x) = -6x which means that there is one x variable left in the equation thus making it solvable.
Peter plays on the varsity basketball team. So far this season he has scored a total of 52 points. He scores an average of 13 points per game. How many more games must Peter play in order to score 117 points?
Answer:
5 more games.
Step-by-step explanation:
117 - 52 = 65.
65 / 13 = 5.
Is the number a rational number? Help me out please!
Answer:
first answer
Step-by-step explanation:
Hi, this is correct because repeating decimals are rational numbers.
Rational numbers can be written by a fraction of integers.
If there is a pattern, it means that this is the division of two integers.
hope this helps
Answer:
yes
Step-by-step explanation:
Jackson drops a pumpkin off a balcony from
a height of 64 feet. Analyze the time in seconds it takes
for the pumpkin to smash on the ground.
Answer:
t = 1.15 seconds.
Step-by-step explanation:
The pumpkin is dropped from the height of = 64 feet.
Now we have to find the time taken to reach the pumpkin on ground. Use the below formula to find the time taken.
H = ½ gt^2
H = height
g = 9.8 (always contant )
t = time taken.
Now insert all the values in the formula.
H = ½ gt^2
64 = ½ ×9.8× t^2
(64×2) / 9.8 = t^2
t = 1.15 seconds.
pls show work and explain how to do it
Step-by-step explanation:
1. We can see that the two vertical lines are parallel. Since one angle is 80º, then the other side should be 100º, since the straight line is 180º.
2. If the angle on the right is 80º, then that means the angle with y and 40º add up to 100º.
3. 100º - 40º = 60º.
Our final answer: y = 60º
I hope this helps!
Which model represents a fraction less than Three-fifths? A circle divided into 5 equal parts. 4 parts are shaded. A circle divided into 5 equal parts. 2 parts are shaded. A circle divided into 5 equal parts. 6 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.
Answer:
The correct answer is:
A circle divided into 5 equal parts. 2 parts are shaded.
Step-by-step explanation:
To determine the fraction less than three-fifths, let us convert the word problems into figures and compare the values:
[tex]Three-fifths = \frac{3}{5} = 0.6[/tex]
a) A circle divided into 5 equal parts. 4 parts are shaded (four-fifths)
[tex]Four-fifths = \frac{4}{5} = 0.8\ (more\ than\ three-fifths)[/tex]
b) A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)
[tex]Two-fifths = \frac{2}{5} = 0.4\ (less\ than\ three-fifhs)[/tex]
c) A circle divided into 5 equal parts. 6 parts are shaded = [tex]\frac{6}{5} = 1.2[/tex] (more than three-fifths)
d) A circle divided into 10 equal parts. 8 parts are shaded [tex]= \frac{8}{10} = 0.8\ (more\ than\ three-fifths)[/tex]
Therefore, the fraction less than three-fifths = A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)
A circle divided into 5 equal parts. 2 parts so the answer is B
explanation:
Hope this works<3
Definición de forma estándar y ejemplo????
Answer:
Las reglas para escribir un número en forma estándar es que primero escribes un número entre 1 y 10, luego escribes × 10 (a la potencia de un número). En una calculadora, generalmente ingresa un número en forma estándar de la siguiente manera: Escriba el primer número (el que está entre 1 y 10). Presione EXP
Step-by-step explanation:
Shanelle invested $10,000, and at the end of one year, she received $805 in interest. She invested part of the money in an account earning 10% simple interest and the remaining money in an account earning 7%simple interest. How much did she invest in each account?
Step-by-step explanation:
Let the first part be x. Then,
the second part will be (10000-x).
So, According to question,
(10% of x) + { 7% of (10000-x)} = 805
(10/100*x) +{7/100*(10000-x)} = 805
(x/10) + (70000-7x/100) = 805
Then,
We will take the lcm of 10 and 100 which is 100 and then add both the fractions.
Solution:
10x + 70000-7x/ 100 = 805
3x + 70000/100 = 805
3x + 70000 = 805*100
3x + 70000 = 80500
3x = 80500-70000
3x = 10500
x = 10500/3
x = 3500
So the first part is 3500.Then,
the second part will be (10000-3500)
= 6500
HOPE IT WILL HELP YÔÛ.♥️♥️
Two angles from a liner pair. The measure of one angle is 4 times the measure of the other angle. Find the measure of each angle
Answer:
x = 36 degrees, the smaller angle.
4(36) = 144 degrees, The larger angle.
36 + 144 = 180 degrees.
Cleomenius.
Answer:
x = 36 degrees, the smaller angle.4(36) = 144 degrees, The larger angle.36 + 144 = 180 degrees.
Step-by-step explanation:
(1)adjacent- two non-overlapping angles that share a common vertex and a common side
(2)the non-common sides are opposite rays.
(3)adds up to 180
5j+15=12j-13 please solve
Answer:
j=4
Step-by-step explanation:
5j+15=12j-13
Answer: j = 4
Step-by-step explanation:
5j + 15 = 12j - 13
5j = 12j - 28 Subtract 15 from both sides
-7j = -28 Subtract 12j from both sides
j = 4 Divide -7 from both sides
90 + 12 = 6(15 + 12)