Answer:
Lets choose y
-8y=3x-24y=-3/8x+3Plug in
3x+15/8x-15=45 39/8x= 60 x=480/39Answer:
I'll choose 'x' variable first to eliminate because -
-3 (coefficient of 'x' in Eqn.1) & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).Step-by-step explanation:
Eqn.1 → -3x - 8y = -24
Eqn.2 → 3x - 5y = 45
If we'll add both the equations , then '3x' would be getting cancelled first.
⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]
⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]
⇒ [tex]-13y = 21[/tex]
⇒ [tex]y = \frac{-21}{13}[/tex]
Putting the value of y in eqn.2 ,
⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]
⇒ [tex]3x + \frac{105}{13} = 45[/tex]
⇒ [tex]3x = 45 - \frac{105}{13}[/tex]
⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]
⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]
Reducing the fraction gives ,
⇒ [tex]x = \frac{160}{13}[/tex]
3 9 26
a. Use eoch digit once, make the smallest 4-digit number:
b. Use each digit once, moke the largest 4-digit number :
c. You can use one diga twice, make the smallest 4-digit number:
c. You con use one digit twice make the largest 4-digit number
.
10 (-2 + 3y) + 8y = -20
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
Find the area of the figure shown below and choose the appropriate result.
Answer:
B 14 cm
Step-by-step explanation:
First, rectangle equation formula is w x l which means 4 x 2 = 8 then triangle formula is b x h which base is 4 and height is 3 which gets 6. So 8 + 6 = 14.
Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT
Answer:
The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).
Step-by-step explanation:
A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or male.
the kitten would be gray
Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}
Answer:
the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)} is
{(-2,1),(3,2),(-3,3),(2,4)}.
Please helpppp i will mark brainlisttt
Please help quickly as possible thank you! :)
Answer:
329.5ft
Step-by-step explanation:
First one: ((4+18+26)x10)/2
Second: +(18x4)
Third: (7x5)/2
=240+72+17.5
=329.5
HELP ME PLEASEEEEEEEEEEEE
Answer:
A) 3.5 m
Step-by-step explanation:
3.5 x 2 = 7/2 = 3.5
Select the correct answer from each drop down menu. The square root of 15 look at image
Answer:
a=15
b=7
c=4
Step-by-step explanation:
[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
Answer:
Solution given;
The space occupied by a wooden block is 4cm × 2cm × 2cm=_16__cm 3 Which is equivalent to____16___mililiters
Step-by-step explanation:
we have
1cm³=1millilitre.
James wants to 3D-print 8 model car pieces per hour for 10 hours. He can produce 5 model car
pieces using 50 grams of plastic.
How many grams of plastic will he need?
Answer:
80 grams of plastic
Step-by-step explanation:
5 model cars -- 50 grams
1 model car -- (50/5) = 10 grams
8 model cars -- (10 * 8) = 80 grams
Thenks and mark me brainliest :)))
consider the series 10 j-2 (-2j+1)
Answer:
Option C
Step-by-step explanation:
Given expression for the series is,
[tex]\sum_{j=2}^{10}(-2j+1)[/tex]
Here, j = Numbers of terms (from 2 to 10)
By substituting j = 2 to 10 we can find the terms of the series.
2, 3, 4, 5, 6, 7, 8, 9, 10
So the number of terms in the given series = 9
Option C will be the correct option.
State if the triangles in the pair are similar. If so, complete the similarity statement
Answer:
they similar
triangle SRQ - SBC
Answer:
similarity statement =RS/BS=QS/CS=RQ/BC OR,
triangle RSQ≅triangle BSC
Step-by-step explanation:
what is
1/3 x (15+6)
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
[tex]\frac{1}{3}[/tex]
Then we move onto the multiplication which is the last part
[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7
why is coal a non-renewable energy source
I need answer tho this please help me
Answer:
there is two diagram 2,3, 4 and 5 this is the answer give
Help!!!
A) Mode
B) Mean
C) Median
Answer:
Median
Step-by-step explanation:
Median will be misleading are not asking for the midd;e price they are asking for the average price in this case you will use mean to find
PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?
Answer:
Pyramid Surface Area = .5 * Perim of Base * Slant Height
Slant Height^2 = 144^2 + 140^2
Slant Height^2 = 20,736 + 19,600
Slant Height^2 = 40,336
Slant Height = 200.8382433701
Surface Area = .5 * perim of base * slant height
Surface Area = .5 * 1,200 * 200.8382433701
Surface Area = 120,503 square meters
Source = www.1728.org/volpyrmd.com
Step-by-step explanation:
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 3.5%. Non money is added or withdrawn from the account. How much will be in the account after 5 years? How much will be in the account after 20 years?
Answer:
5 years : 1781.52
20 years: 2984.68
Q3) There are 200 passengers on a plane. 84 of them are women and 12 are children.
What percentage of them are:
a) women
b) children
c) neither women nor children?
A boat travels 120 miles with the current down the river in less time than it takes to travel 80 miles against the current up the river. The boat makes the entire trip in 12 hours. The speed of the boat, without the current, remains constant at 20 miles per hour what is the speed of the current.
Answer:
180 miles is answer
cuz it takes 80 miled to travel in 12 hours
Answer:
The speed of the current is 10 mph
Step-by-step explanation:
x= speed of the current
[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]
80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)
x=10
WILL
GIVE
BRAINLIST ANSWER
Answer:
22 is the range for the data set.
stay safe healthy and happy.URGENT NEED THIS DONE FAST LINKS WILL BE REPORTED
[tex]\pink{\bold{\underline{\underline{hello ♡}}}}[/tex]
Since 2x = 6, we have to divide each side by 2 to find x.
6÷2= 3
Our answer is 3.
In the image, two circles are centered at A. The circle containing was dilated to produce the circle containing B!
What is the scale factor of the
dilation?
O A. 1
OB. 2
OC. 0.5
OD.
-0.5
Which of the following gives the number of petals of the rose curve r=6cos 20 ?
(A) 1 (B)2 (C) 4 (D) 6
(E) 12
please include work
assalam o aalaikum
Step-by-step explanation:
1. At the Blue Jays game, Steven Matz (height = 1.2m) throws a baseball(140g) straight in
the air with 95N of force for 30cm.
1. What is the speed of the ball 2.4 m above the ground?
2. What is the maximum height of the ball (assuming no air resistance)?
Simplify: -4r + s - 2r - 3s
Answer:
-6r - 2s
Step-by-step explanation:
Combining Like Terms like this
-4r + s-2r - 3 s <<<
-6r + s - 3 s
= -6r - 2s <<<
Answer:
-6r - 2s
Step-by-step explanation:
susan has a total of 31 books. amy has four less than seven times the number of books compared to susan. write an equation for this situation.
Answer:
213
Step-by-step explanation:
(31x7)-4
It took lan three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7.639 cans Which equation can be used to find x, the number of cans tan collected in the third year? A X = 25,413-8,917 - 7,639 B X = 25,413 +8,917 + 7,639 CX-8,917 +7,639 D 8,917-7,639
Answers:
1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer
2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000
3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer
4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer
5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale
6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar
7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar
8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar
Pick the right one.