Given:
The system of equations that represent the constraints for the given situation is
[tex]x+y=4.25[/tex]
[tex]16.90x+4y=36.35[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]x+y=4.25[/tex] ...(i)
[tex]16.90x+4y=36.35[/tex] ...(ii)
Multiply equation (i) by 4.
[tex]4x+4y=17[/tex] ...(iii)
Subtracting (iii) from (ii), we get
[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]
[tex]16.90x+4y-4x-4y=19.35[/tex]
[tex]12.90x=19.35[/tex]
Divide both sides by 12.90.
[tex]x=\dfrac{19.35}{12.90}[/tex]
[tex]x=1.5[/tex]
Put this value in (i).
[tex]1.5+y=4.25[/tex]
[tex]y=4.25-1.5[/tex]
[tex]y=2.75[/tex]
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Distribution = Normal
Mean(m) = 66
Standard deviation (σ) = 3 inches
A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66
B.) % horses with height between 60 and 72
Using the relation :
X = 60 ; 72
Z = (x - mean) σ
Z = (60 - 66) / 3
Z = - 6/3
Z = - 2
P(Z < - 2) = 0.0228 (using table)
Z = (72 - 66) / 3
Z = 6/3
Z = 2
P(Z < 2) = 0.9772 (using table)
P(score being between 60 and 72):
0.9772 - 0.0228= 0.9544
C) number of samples = 25
Height less than 63 inches :
Area of dog crate
6 meters and 4 meters
Answer:
24 meters
Step-by-step explanation:
L × W = A6 × 4 = 24 metersI hope this helps!
Answer:
24 meters
Step-by-step explanation:
you do 6 times 4
The diagram of a living room is shown below. What fraction of the living room is covered by the rug? need done ASAP
Answer:
[tex] \frac{10}{27} [/tex]
Find the measure of angle b
Answer:
130°
Step-by-step explanation:
a straight line is 180°
so you have
180°-50°= 130°
Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
You can ignore a and b but can someone help me with c and d plz :)
Answer:
(below)
Step-by-step explanation:
c) the angles are in the interior on the same side of the transversal, making them supplementary
equation: 2x + 20 + 120=180 and then when solved you would get x =20
d) the angles are corresponding, which makes them congruent
equation: 3x + 10 = 100 and then when solved you would get x = 30
four times the difference of a number and 71
is 32
please mark brainlist
Step-by-step explanation:
let the number be x
4(x-71) = 32
4x - 284 = 32
4x = 316
x = 79
Which expression is equivalent to Start root80 ?
O ^4start root2end root•√5
0 start root2^4•start root5
0 start root2end root•start root2end root•start root5end root
0 start root2^2end root•start root2^2end root•start root5^2end root
Answer:
I believe your answer is C
Hope this helps!
Answer:
It's B
Step-by-step explanation:
A negatively charged balloon comes close to a positively charged cloth. What will happen
Answer:
It will attract and move towards each other
Answer: The balloon will be attracted to the cloth i hope this helps :D
Step-by-step explanation:
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
Solve the equation 5x+9=4.
Answer: x=-1
5x+9=4
-9 -9
_______
5x= -5
/5 /5
x= -1
[tex]\huge{\boxed{\sf{x=-1}}}[/tex]
[tex]\huge{\pink{Given \: Equation:}}[/tex]
Step 1:
[tex]5x + 9 = 4[/tex]
Step 2:
[tex]⇒5x = 4 - 9[/tex]
Step 3:
[tex]⇒5x = - 5[/tex]
Step 4:
[tex]⇒x = \frac{ - 5}{5} [/tex]
Step 5:
[tex]⇒x = - 1✓[/tex]
[tex]\huge{\blue{Verification:}}[/tex]
Step 1:
[tex]5x+9=4.[/tex]
Step 2:
[tex]⇒5 \times - 1 + 9 = 4[/tex]
Step 3:
[tex]⇒ - 5 + 9 = 4[/tex]
Step 4:
[tex]\red{⇒4 = 4}[/tex]
[tex]\huge{†Hence \: Vertified†}[/tex]
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation:
(1,1) ==> (-1,-1)
(4,2)==>(-4,-2)
(4,4)==> (-4,-4)
The triangle is shown below, after rotting 180 degrees about the origin.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).
When the triangle is rotated through 180 degrees about the origin,
The sing of the vertices changes.
The sign will be changed as.
(1, 2) = (-1, -2)
(4, 2) = (-4, -2)
(4, 4) = (-4, -4)
The triangle after rotating 180 degrees show.
To know more about Triangle on:
https://brainly.com/question/2773823
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Why is the base of the parallelogram 1/2 the circumference of the circle?
Consistent System of Equations
In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2
brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?
Answer:900 miles
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)
Find the area of a circle with radius,
r = 5.68m.
Give your answer rounded to 2 DP.
Answer:
101.35
Step-by-step explanation:
pir^2
pi5.68^2
32.2624
pi(32.2624)
about 101.355
Given that R = 3x + 9y
Find x when y = 6 and R=7
Give your answer as an improper fraction in its simplest form.
Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
Which analogy best represents the relationship between jobs and careers? "a muffin or a cookie," and a job is like "baked goods." "tools," and a job is like "a hammer or a screwdriver." "a building block," and a job is like "a castle or a tower." "a speedboat or a powerboat," and a job is like "a sailboat."
Correct options read:
A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”
B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”
C) A career is like “a building block,” and a job is like “a castle or a tower.”
D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”
Answer:
B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”
Explanation:
Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.
Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").
Answer:
B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”
Step-by-step explanation:
What is the value of X?
A.11
B.9
C.7
D.6
Answer:
x=6
Step-by-step explanation:
10x+21x-6=180 ( straight angle)
31x=180+6
x=186/31
x=6
Can someone please help me please asap ?? I’ll mark brainlist !!!
Answer:
C
Step-by-step explanation:
Someone help please?
Step-by-step explanation:
If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).
Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).
Divide both sides by 16 to get the true value of ONE x. Like so:
16x / 16 = 320 / 16
x = 20 (this is your third answer)
HEP I WILL GIVE BRAINLIEST!!!
Answer:
dot 3
Step-by-step explanation:
50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds
Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
How to solve rolled dice problems?From the given ,question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
The game rules are;
Same number on both dice = +3
Different numbers, with an even sum = +1
An odd sum = -2
After five rounds, score of Chloe = +1
1 = 3 + 1 + (-2) + (-2) + 1
⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.
Complete question is;
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
Read more about Dice rolls at; https://brainly.com/question/2140973
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Answer:
-2
-2
-2
-2
-2
The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).
Step-by-step explanation:
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
Answer:
domain={-7,-2,0,4} and range={2,1,5}
Step-by-step explanation:
The cost of using a telephone in a hotel meeting
room is $0.20 per minute. Which of the following
equations represents the total cost in dollars, for
h hours of phone use?
so its 12 dollars an hour
x means the cost
12(h)= x
Answer:
c = 0.20 (60h)
Step-by-step explanation:
The hotel charges $0.20 per minute to use the meeting‑room phone. This per‑minute rate can be converted to the hourly rate using the conversion 1 hour =60 minutes, as shown in the following equation.
[tex]\frac{0.20}{minute}[/tex] × [tex]\frac{60 minutes}{1 hour}[/tex] =[tex]\frac{0.20 * 60}{hour}[/tex]
Thus, the hotel charges 0.20×60 per hour to use the meeting‑room phone.
Therefore, the cost c, in dollars, for h hours of use is c=(0.20×60)h which is equivalent to c=0.20(60h).
I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Bruh.
Step-by-step explanation:
PLEASE PLEASE HELP!! NO ONE IS ANSWERING!! this is geometry ://
Answer:
onse sec and ill help
Step-by-step explanation:
NEED HELP ASAP PLEASE.
Step-by-step explanation:
true i think i think its true
x2 + 10x + 25 = 0
Solve each equation by factoring
Answer:
x=-5
Step-by-step explanation:
This is a perfect square
(x+5)^2=0
x+5=0
x=-5
5x+8y=6π solve equation for y
ZA and ZB are complementary angles. If mZA = (7x + 23)° and
mZB = (5x + 19)°, then find the measure of ZB.
Answer:
ZB= 39°
Step-by-step explanation:
complementary angles are angles that add up to equal 90
equation: 7x + 23 + 5x + 19 = 90
add like terms: 12x + 42 = 90
subtract 42 from both sides: 12x = 48
divide both sides by 12: x = 4
plug in the value of x to the equation for ZB: 5(4) + 19
simplify: ZB= 39°