Answer:
Because they both equal d, you can set them equal to each other:
[tex]941-12t=523+26t\\418 = 38t\\t = 11[/tex]
Substitute t = 11 into the equation 523 + 26t = d:
[tex]523 + 26 *11 = d\\523 + 286 = d\\809 = d[/tex]
There will be 809 DVDs and Blu-ray discs sold per month in 11 months.
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hours. The Thompson family's sprinkler was used for hours. There was a combined total output of of water. What was the water output rate for each sprinkler if the sum of the two rates was per hour
This question s incomplete, the complete question is;
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.
There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour
Answer:
The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Step-by-step explanation:
Given the data in the question;
let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively
so
x + y = 55 ----------------equ1
x = 55 - y ------------------qu2
also
15x + 30y = 1050
x + 2y = 70 --------------equ3
input equ2 into equ3
(55 - y) + 2y = 70
- y + 2y = 70 - 55
y = 15
input value of y into equ1
x + 15 = 55
x = 55 - 15
x = 40
Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Convert 1;3/4 into an improper fraction
write the congruence condition in symbolic form for each pair of triangles. If wrong answer I will report. If correct answer I will mark brainliest.
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Answer:
ΔXXX ≅ ΔXXX
Step-by-step explanation:
All vertices have the same designation, so the congruence statement is ...
ΔXXX ≅ ΔXXX
Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample
Answer:
The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]
Step-by-step explanation:
Here
N = 140
and n = 20
We will use the below given formula
P(at least 1 defective) = 1 - P( 0 defectives)
P( 0 defectives) =
[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]
Dora is thinking of a number between 500 and 600
When she divides it by a 1-digit number it has a remainder of 4
What could Dora’s number be?
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Answer:
500 ÷ 8 = 62 r 4, for example
Step-by-step explanation:
In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.
The corresponding numbers could be any of ...
504 +5n . . . 0 ≤ n ≤ 19
502 +6n . . . 0 ≤ n ≤ 16
501 +7n . . . 0 ≤ n ≤ 14
500 +8n . . . 0 ≤ n ≤ 12
508 +9n . . . 0 ≤ n ≤ 10
__
For example, with the divisor being 6, and n=13, the number could be ...
580 = 6·96 + 4
write an equation in slope-intercept form for the line that has a slope of 4 and passes through the point (3,24)
Answer:
y = 4x + 12
Step-by-step explanation:
y = mx + b
'm' represents slope
'b' represents the y-intercept
use the slope and the point (3,24) as your x and y inputs to find 'b'
24 = 4(3) + b
24 = 12 + b
b = 12
y = 4x + 12
cómo resolver sopa de números encontrando resultados de divisiones por ejemplo 436/2
Answer:
Lo resuelves como de costumbre :)
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
(x-2)^2-6(x-2)+5=0
Find a Value of X
Answer:
The values of x are:
[tex]x=3,\:x=7[/tex]
Step-by-step explanation:
Given the expression
[tex](x-2)^2-6(x-2)+5=0[/tex]
Expand (x - 2)² = x² -4x + 4
[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]
Expand: -6(x - 2) = -6x + 12
[tex]x^2-4x+4-6x+12+5=0[/tex]
simplifying
[tex]x^2-10x+21=0[/tex]
Factor x² -10x + 21: (x - 3) (x - 7)
[tex]\left(x-3\right)\left(x-7\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]
solving x - 3 = 0
x - 3 = 0
Adding 3 to both sides
[tex]x-3+3=0+3[/tex]
simplify
x = 3
solving x - 7 = 0
x - 7 = 0
Adding 7 to both sides
[tex]x-7+7=0+7[/tex]
Simplify
x = 7
Therefore, the values of x are:
[tex]x=3,\:x=7[/tex]
Two sides of a triangle measure
8 centimeters and 13 centimeters. Which
of the following could not be the length of
the third side?
A 4 cm
4
C 14 cm
B 8 cm
D 18 cm
Answer:
4
Step-by-step explanation:
Answer:
A:4cm
Step-by-step explanation:
please help out, tysm. need this asap. i’m gonna mark brainliest! thanks
Answer:
E and F
Step-by-step explanation:
✔️To eliminate the variable y, we can multiply the first equation, -x + 4y = 1 by 7 and the second equation, 8x - 7y = 42 by 4. This will leave us with the variable x alone to solve for.
✔️Alternatively, we may decide to eliminate the variable x first by multiplying the first equation, -x + 4y = 1 by 8. Both equations would be equivalent, thus when we can easily eliminate the variable x leaving us with variable y to solve for.
On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation
This question is incomplete, the complete question is;
On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation
Probability 0.35 0.26 0.21 0.18
Amount gained $100 $200 $300 -$15
Option;
a) $11,143
b) $106
c) $10,200
d) $147
Answer:
the standard deviation is 106
Option b) $106 is the correct Answer
Step-by-step explanation:
Given the data in the question;
let the random variable be x
x = amount gained by customers in a lucky draw contest
so
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
so
x x² p(x) x.p(x) x².p(x)
$100 10,000 0.35 35 3,500
$200 40,000 0.26 52 10,400
$300 90,000 0.21 63 18,900
-$15 225 0.18 -2.7 40.5
TOTAL 147.3 32,840.5
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
we substitute;
Variance (x) = 32,840.5 - (147.3)²
Variance (x) = 32,840.5 - 21,697.29
Variance (x) = 11,143.21
Now Standard Deviation = √variance
so, S.D = √11,143.21
S.D = 105.56 ≈ 106
Therefore, the standard deviation is 106
Option b) $106 is the correct Answer
The constants a, b, and c are positive. Solve the inequality for x. ax - b < c
Answer:
The solution of the given inequality [tex]x < \frac{c+ b}{a}[/tex]
Step-by-step explanation:
Explanation:-
Given that the constants a, b, and c are positive
Given inequality a x - b < c
Adding 'b' on both sides, we get
a x - b + b < c
⇒ a x < c + b
Dividing 'a' on both sides, we get
[tex]x < \frac{c+ b}{a}[/tex]
A cone has a volume of 8tt cubic inches, the height is 6 inches. What is the radius of the cone?
Answer:
48
Step-by-step explanation:
multiply 8x6 which is 48 .....8,16,24,32,40,48
A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)
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Answer:
(3.4)
Step-by-step explanation:
The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.
Then the coordinates of point R are ...
(1.0) +(2.4) = (3.4)
__
Additional comment
We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.
What the mean daily snowfall
Answer:
Daily Snowfall means the amount of snow that fell on a single day.
Hope this helps!!!
Candidate B recieved 5 times as many votes as Candidate A. Whats the ratio of votes for Candidate B to votes for Candidate A?
Complete the recursive formula of the arithmetic sequence-3,-1,1,3,
b(1)=
b(n) = b(n-1)+
Answer:
b(1) = -3
b(n) = b(n-1) + 2
Step-by-step explanation:
Notice that there is a common difference in the sequence : each term is the previous one PLUS 2. Then the common difference "d" is 2 making this sequence an arithmetic sequence
b(1) = -3
b(n) = b(n-1) + 2
A rectangle is 4 times as long as it is wide. The perimeter is 30 feet. Find the dimensions.
Answer:
Express your length and width as algebraic expressions:
width = x
length = 4x
Use the formula for the perimeter of a rectangle to solve for x:
perimeter = 2(length) + 2(width)
50 = 2(4x) + 2(x)
50 = 8x + 2x
50 = 10x
5 = x
The width (x) is 5 feet and the length (4x) is 20 feet.
Step-by-step explanation:
Answer: 3 by 3 by 12 by 12
Step-by-step explanation: Two sides are x feet long. The two other sides are 4 times x feet long. 4x+4x+x+x =10x
Set that equal to 30 and solve. x=3
Plug back into the original 4x's and x's to get the lengths
The two triangles illustrate below are similar. What are the values of x and y?
Answer:
Answer is B is the right answer
At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answer:
2
Step-by-step explanation:
y = mx + b
y = total cost of the gym
m = cost per personal session
x = number of sessions
b = cost of one month
Silver gym:
y = 30x + 25
Fit Factor:
y = 20x + 45
Set them Equal to each other:
30x + 25 = 20x + 45 (get Xs on one side by subtracting 20x)
10x + 25 = 45 (isolate x by subtracting 25 from both sides)
10x = 20 (divide both sides by 10)
x = 2 personal training sessions to make the cost equal
Please help im confused
Answer:
The third one
Step-by-step explanation:
Since this is looking down on the cubes from above, I feel it is safe to assume that it is the third one.
From left to right, top to bottom:
3, 2, 2
2, 2, 1
2, 2, 1
We can see that all but 3 layers are 2 blocks high. The 3 block area is the top left corner, since it is 1 block higher than the 2 block areas, and the 1 block areas are the middle right and the bottom right areas.
Mike brought 480 crayons that came in packs of 15 how many packs of crayons did Mike buy
Answer:
32 packs of crayons
Step-by-step explanation:
480 divided by 15 equals 32.
An elevator started at the third floor, it went up
nine floors, then down six floors and then up
two floors. Where is it now?
O 25th floor
O 12th floor
O 5th floor
O 8th floor
Answer:
It would be at the 8th floor Hope it helped
Step-by-step explanation:
1
2
Janice has 3 cups of flour. She makes 5 equal-sized portions from the flour.
8
She uses one of the portions to make crepes. Each crepe uses 45 of a cup of flour.
How many crepes does Janice make?
OA
75
B.
15
c.
OD
3
Answer:
B
Step-by-step explanation:
10. 13(m - 2) = -4(11 + m) - 1
Answer:
if you're solving for M then your answer is
m = -19/17
Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more silver cars would need to be added so the ratio of green cars to silver cars is 1 to 3?
Answer:
100 more silver.
Step-by-step explanation:
The probability that an event will occur is . Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
unlikely hope it helps
Step-by-step explanation:
Michelle buys 4 theme park admission cards online and gifts them to
her nieces. What will be the charge for 5 such admission cards, if she spent
$748 on her purchase?
Answer:
$971(nine hundreds and seventy one dollars
Write an equation in slope-intercept form for the line between (2,7) and (6, 19)
Answer:
y= 3x +1
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate
Using the formula above, slope of line
[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates.
When x= 2, y= 7,
7= 3(2) +c
7= 6 +c
c= 7 -6
c= 1
Thus, the equation of the line is y= 3x +1.
help me, please!!!!!
Answer:
25 cm is the perimeter...........
Answer:
25 cm
Step-by-step explanation:
When you are told that any figure is regular it means all the sides have the same value.
A pentagon has 5 sides.
Each side is 5 cm.
The perimeter is the addition of all the sides.
To find it we just multiply
5*5= 25 cm
Hope it was helpful ;)