Answer:
15x-5y=1
Step-by-step explanation:
y-3x=-1/5
multiply each side by 5
5y-15x=-1
15x-5y=1
The perimeter of a triangle is 25 cm. The first side is 3 cm longer than the second side. The third side is triple the length of the first side. Find the length of each side. (NEED HELP ASAP!! FIRST ONE GETS BRAINLY!!)
Step-by-step explanation:
Let second side = x
First side = 3+x
Third side = 3(3+x) = 9 +3x
The perimeter of a triangle = 25 cm
Perimeter = sum of all sides
So,
x + 3 + x + 9 +3x = 25
12 + 5x = 25
5x = 13
x = 2.6 cm
First side = 3 + x = 5.6 cm
Second side = x = 2.6 cm
Third side = 9+3(2.6) = 16.8 cm
Consider these proportions: 4.5:1.5 6:2 7.5:2.5 9:3
Which of the following proportions belongs to the above set?
A 10.5:3.5 B 13:4 C 13.5:4.5 D 14:5
Answer:
A
Step-by-step explanation:
A triangle with vertices (-2,3), (5,4), and (-1,-1) is translated using the rule (x,y) (x-3, y+4) what are the coordinates of the image?
Answer:
(-5,7)(2,8)
Step-by-step explanation:
your just adding and subtracting the x and y with the rule it gives you
2x < 16
...................
Answer:
X could be any number from 1-6
Step-by-step explanation:
Because 2 multiplied by 1-6 equals a number lower than 16
A truck weighs 16,000 pounds. What is the weight range in tons?
Answer:
8
Step-by-step explanation:
uh idrk all ik is that 16,000 punds = 8 tons
A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs?
6 four-packs is a better deal
4 six-packs is a better deal
The office manager for the Metro Life Insurance Company orders letterhead stationery from an office products firm in boxes of 500 sheets. The company uses 6500 boxes per year. Annual carrying costs are $3 per box, and ordering costs are $28. The following discount price schedule is provided by the office supply company: ORDER QUANTITY (BOXES) PRICE PER BOX 200–999 $16 1000–2999 14 3000–5999 13 6000+ 12 Determine the optimal order quantity and the total annual inventory cost.
Answer:
The EOQ formula cannot be used here because the price of the goods varies according to the size of the purchase order. In this case, the order quantity that decreases annual inventory costs is 3,000 units per order, and total annual inventory costs = $89,060.67.
Step-by-step explanation:
if we apply the EOQ formula:
Economic order quantity (EOQ) = √[(2 x S x D)/H]S = ordering cost = $28D = annual demand = 6,500H = holding cost = $3EOQ = √[(2 x $28 x 6,500)/$3] = 348.33 ≈ 348 boxestotal annual inventory cost = [(6,500 / 348) x $28] + [(348 / 2) x $3] + (6,500 x $16) = $522.99 + $522 + $104,000
but if the company tried to benefit from discounts due to higher order quantities, total annual cost would be lower:
[(6,500 / 1,000) x $28] + [(1,000 / 2) x $3] + (6,500 x $14) = $182 + $1,500 + $91,000 = $92,682
[(6,500 / 3,000) x $28] + [(3,000 / 2) x $3] + (6,500 x $13) = $60.67 + $4,500 + $84,500 = $89,060.67
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 50.2 min. PX> 50.2)( (Report answer accurate to 2 decimal places.) The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.3 and 50.8 min. P(50.3 X50.8)-| Let X have a uniform distribution on the interval (10, 16). Find the probability that the sum of 2 independent observations of X is greater than 29.
Answer:
a) P(X > 50.2) = 0.90
b) P(50.3 < X < 50.8) = 0.25
c) P(X+Y >29) = 0.9167
Step-by-step explanation:
From the given information:
[tex]f(x) = \dfrac{1}{b-a} \ \ \ \ a<x<b[/tex]
[tex]f(x) = \dfrac{1}{52.0-50.0} \ \ \ \ 50.0<x<52.0[/tex]
[tex]f(x) = \dfrac{1}{2} \ \ \ \ 50.0<x<52.0[/tex]
a)
Let X be the random variable that follows a uniform distribution.
Such that [tex]X \sim U (50.0, 52.0)[/tex]
where;
a = 50
b = 52
[tex]P(X> 50.2) = \dfrac{b - x}{b-a}[/tex]
[tex]P(X> 50.2) = \dfrac{52 - 50.2}{52-50}[/tex]
[tex]P(X> 50.2) = \dfrac{1.8}{2.0}[/tex]
P(X > 50.2) = 0.90
b.)
To find the probability that the class length is between 50.3 and 50.8 min.
i.e.
[tex]P(50.3 <X<50.8) = \dfrac{(X_2-X_1)}{(b-a)}[/tex]
[tex]P(50.3 <X<50.8) = \dfrac{(50.8-50.3)}{(52-50)}[/tex]
[tex]P(50.3 <X<50.8) = \dfrac{(0.5)}{(2)}[/tex]
P(50.3 < X < 50.8) = 0.25
c)
Given that:
the interval = (101,16)
The probability that the sum of 2 independent observations of X is greater than 29 can be computed as follows.
here;
[tex]c = \dfrac{a+b}{2}[/tex]
where;
a = 10*2 = 20
b = 16*2 = 32
[tex]c = \dfrac{20+32}{2}[/tex]
c = 52/2
c =26
The required probability:
[tex]P(X+Y >29) = 1 - \dfrac{(b-x)\times 2}{(b-a) \times (b - c)}[/tex]
[tex]P(X+Y >29) = 1 - \dfrac{(32-29)\times 2}{(32-20) \times (32 - 26)}[/tex]
[tex]P(X+Y >29) = 1 - \dfrac{(3)\times 2}{(12) \times (6)}[/tex]
[tex]P(X+Y >29) = 1 - \dfrac{6}{72}[/tex]
P(X+Y >29) = 1 - 0.0833
P(X+Y >29) = 0.9167
A snail crawled ¾ inches in ⅕ of a minute. How long did it take the snail to crawl ½ an inch?
Tia read 0.46 of the book assigned for class. Kiana read 33 out of the 72 pages. Who read more of the book?
There are 28 male performers in a dance recital. The ratio of men to women is 7:9. How many women are in the dance recital?
women
Answer:
36 women
Step-by-step explanation:
28 divided by 7 is 4 then times the 4 by 9 and you get 36
Answer:
It is 36
Step-by-step explanation:
Solve the given initial-value problem. (Use x as the independent variable.) 2y'y'' = 1, y(0) = 2, y'(0) = 1
Answer: y(x) = (2/3)*(x + 1)^(3/2) + 1/3.
Step-by-step explanation:
We have the differential equation:
2*y'(x)*y''(x) = 1.
y(0) = 2
y'(0) = 1.
I will use the change:
u = y'
u'= y''
Then we must solve:
2*u*u' = 1.
The product does not depend on x:
u*u' = 1/2.
By looking at the problem, i know that the functions must be something like:
u = a*(x + b)^n
Where a and b are real numbers.
u' = n*a*(x + b)^(n - 1)
such that:
(x + b)^n*(x + b)^(n - 1) does not depend on x
This means that:
(x + b)^n*(x + b)^(n - 1) = (x + b)^(n + n - 1) = 0
n + n - 1 = 0
2n = 1
n = 1/2
Then:
u = a*(x + b)^(1/2)
u' = (a/2)*(x + b)^(-1/2)
The differential equation becomes:
u*u' = 1/2
a*(x + b)^(1/2)* (a/2)*(x + b)^(-1/2) = 1/2
(1/2)*a^2 = 1/2
a^2 = 1.
And by the initial conditions, we have:
y'(0) = u(0) = 1
then:
u(0) = a*(0 + b)^(1/2) = a*b^(1/2) = 1
now, if a = -1, then b^(1/2) must be negative, this can not really be then we must have:
a = 1
u(0) = 1*b^(1/2) = 1
then b = 1.
u(x) = (x + 1)^(1/2).
And remember that y'(x) = u(x).
Then we need to integrate u(x) over x.
let's use the change of variables:
w = x + 1
dw = dx
Then the integration of u(x) is:
y(w) = ∫(w)^(1/2)dw = (2/3)*w^(3/2) + c
where c is a constant of integration.
now we can go back to x:
y(x) = (2/3)*(x + 1)^(3/2) + c
And we know that:
y(0) = 1 = (2/3)*(0 + 1)^(3/2) + c
1 = (2/3)*1 + c
1 - 2/3 = c
1/3 = c
Then:
y(x) = (2/3)*(x + 1)^(3/2) + 1/3.
A lawn-care company loses $130 as a result of a delay. The 4 owners of the company must share the loss equally. Which expression represents each owner’s share of the loss?
Answer:
$130/4
Step-by-step explanation:
9x+10y+11x=?
Please help me
Answer:
=20x+10y
Step-by-step explanation:
Let's simplify step-by-step.
9x+10y+11x
Combine Like Terms:
=9x+10y+11x
=(9x+11x)+(10y)
=20x+10y
In ΔNOP, o = 130 cm, ∠O=61° and ∠P=40°. Find the length of n, to the nearest 10th of a centimeter.
Answer:
145.9
Step-by-step explanation:
Gave up on delta math.
Answer:
145.9
Step-by-step explanation:
What is the maximum number of times a line can cross the x-axis?
A
1
B
2
C
3
D
4
Answer:
1
Step-by-step explanation:
if it touches more than once it wouldn't be a line
plz help due in 5min
Answer:
Justin, Louise, Franklin
Step-by-step explanation:
What is the first error Jordy made in his proof?
Choose 1 answer:
Jordy used an invalid reason to justify the congruence of a pair of sides or angles.
Jordy only established some of the necessary conditions for a congruence criterion.
Jordy established all necessary conditions, but then used an inappropriate congruence criterion.
Jordy used a criterion that does not guarantee congruence.
Answer:
D: Jordy used a criterion that does not guarantee congruence.
Step-by-step explanation:
Looking at the various steps, in step five, it says;
ΔABE ≈ ΔBCD
The reason for that is given as;
Angle - Angle - Angle congruence
Now, in test for congruence, we use any of the following criteria;
SSS: Side - Side - Side
SAS: Side - Angle - Side
ASA: Angle - Side - Angle
AAS: Angle - Angle - Side
RHS: Right angle - Hypotenuse - Side
Now, AAA was used and it's not part of the criteria to be used for congruence.
AAA is not used because it's possible for 3 angles to be equal and yet the triangles not congruent.
Thus, we can conclude that Jordy used a criterion that does not guarantee congruence.
Answer: Jordy used a criterion that does not guarentee congruence
Step-by-step explanation: Khan Academy
Use the number line to find the coordinate of the midpoint of each segment. Answer and ill give brainliest
Answer:
Line Segment AB = -9.5
Line Segment CD = 2
Line Segment GE = 6.5
The midpoint of the segments using the number line are :
AB = - 9.5CD = 2 AE = -1GE = 6.5Recall the midpoint, M formula ;
M = (x1 + x2) ÷ 2
For the segments ;
Segment AB ;A = -12 ; B = - 7
M = (A + B) / 2
M = (-12 + (-7)) / 2
M = (-12 - 7) / 2
M = - 19 / 2
M = - 9.5
Segment CD;C = -2 ; D = 6
M = (-2 + 6) / 2
M = (-2 + 6) / 2
M = 4 / 2
M = 2
Segment AE ;A = -12 ; E = 10
M = (-12 + 10) / 2
M = - 2 / 2
M = - 1
Segment GE ;G = 3 ; E = 10
M = (3 + 10) / 2
M = 13 / 2
M = 6.5
HENCE, THE midpoint of the segments AB, CD, AE and GE are - 9.5, 2, - 1 and 6.5 respectively .
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A gallon of milk cost $2.79 in 200.In 2015,it cost$3.98. Round to nearest tenths place . Write in Original,New,Change,Percent Proportion,Increase or Decrease,Solution Form
Answer:Is that the way the question was asked that's confusing
Step-by-step explanation:
a population of a city increased by 140 people last year . Which situation , when combined with that increase in population in a zero overall change in population ?
Answer:
The population decreases by 140 in the next year.
Step-by-step explanation:
The increase that has no overall change in population cannot change the original amount of people there in the first place. If the population decreases by 140 in the next year, then there is no net gain or loss.
A desk fan has blades of 4 inches rotated at a rate of 249 revolutions per minute.
The unshaded regions are quarter circles. Which choice best approximates the area of the shaded region? Use ≈3.14. 24
Answer:
The probability that a point chosen at random will be in the shaded region is 0.25
Step-by-step explanation:
We have been given a small shaded circle inside a larger un-shaded circle. This is shown in the image attached below.
The area of smaller circle is 78.5 squares inches and the area of larger circle is 314 square inches. We have to find the probability that a point chosen at random will be in the shaded region.
Probability is defined as the ratio of Favorable outcome to the Total outcomes. In this case the favorable outcome is that the point should be inside the shaded region i.e. in an Area of 78.5 square inches. And the total outcome is that the point can be anywhere inside the larger circle i.e. within an Area of 314 square inches. Thus the probability that a point chosen at random will be inside the shaded region will be:
[tex]Probability =favorable-Outcome/total outcome[/tex]
[tex]=78.5/314[/tex]
[tex]=0.25[/tex]
Thus, the the probability that a point chosen at random will be in the shaded region is 0.25. This means there is a 25% chance that a randomly chosen point will be inside the shaded region.
The map shows the location of four places in a school. A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library. Peter's English class is located in the same quadrant as the auditorium. Which of the following could be the coordinates of the English classroom? (3, 2) (−3, 2) (−3, −2) (3, −2)
Answer:
i tink its D
Step-by-step explanation:
Answer: C (-3, -2)
Step-by-step explanation: because it is
The perimeter of the rectangle below is 174 units. Find the length of side BC. Write your answer without variables.
The measure of the length of the sides BC of the rectangle will be 24 units.
What is the perimeter of the rectangle?Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
The perimeter of the rectangle below is 174 units.
The length is 3z + 3 and the width is 4z.
Then the value of z will be
174 = 2(3z + 3 + 4z)
87 = 7z + 3
7z = 84
z = 12
Then the measure of the length of the sides BC of the rectangle will be
BC = 3z + 3
BC = 3(7) + 3
BC = 21 + 3
BC = 24 units
More about the perimeter of the rectangle link is given below.
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The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π?
Answer: 7.5²π square centimeters. OR 56.25π cm²
Step-by-step explanation:
Circumference = diameter × π
So the diameter is 15 cm
Area = πr²
Radius is half the diameter, so 15/2 or 7.5
Area = (15/2)²π cm²
Frank's been traveling a lot lately as part of his job. During the past 30 days, he's been out of town 18 days. What fraction represents the number of the past 30 days that Frank has been out of town? Explain how you got your answer.
Answer:
18/30
Step-by-step explanation:
He has been out of town 18 out of the 30 days. You can simplify this to 6/10.
Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount Mai has left?
Solve the equation for y.
2/5 x+y=3
Answer:
y=-2/5x+3
You subtract 2/5x from both Sides to get your answer
A bath tub in the shape of a rectangular prism is 20 meter long, 10 meter wide and 5 meter deep. How much water can it hold?
Answer:
1000 meters³
Step-by-step explanation:
20 x 10 x 5 = 1000
the units are in meters and you are measuring the volume so the units is meters³
Volume of rectangular prism is 1000 [tex]m^{3}[/tex]
1000 [tex]m^{3}[/tex] of water can a bath tub hold.
What is a rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid."
Given
Length of a bath tub = 20 m
Width of a bath tub = 10 m
Height of a bath tub = 5 m
Formula to find the volume of the rectangular prism
Volume of the rectangular prism = length × width × height
= 20 × 10 × 5
=200 × 5
V = 1000 [tex]m^{3}[/tex]
Volume of the rectangular prism = 1000 [tex]m^{3}[/tex]
Hence, Volume of rectangular prism is 1000 [tex]m^{3}[/tex]
1000 [tex]m^{3}[/tex] of water can a bath tub hold.
Learn more about rectangular prism here
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