Answers
The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
Given a system of the equations:
x/3 + y/2 = 1/3 .... (1)
(5x)/6 - (3y)/4 = 1/6 ....(2)
Multiply 5/2 to equation (1) then subtract from equation (2), we get,
(5y)/4 + (15y)/8 = 5/6 - 1/6
(10y + 15y)/8 = 4/6
(25y)/8 = 4/6
25y = 4/6 x 8
y = 32/150
y = 0.21
To find the value of x,
x/3 + 32/300 = 1/3
x/3 = 1/3 - 32/300
x = 3(1/3 - 32/300)
x = 1 - 32/100
x = 0.68
From the given choices,
-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
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Related Questions
A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height is of the building is approximately
Answers
Answer:
10.07 meters
Step-by-step explanation:
We are given that the angle of elevation is 40° and the boy is 12 meters from the building.
This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].
The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.
Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(40^\circ)=\frac{x}{12}[/tex]
[tex]12tan(40^\circ)=x[/tex]
[tex]x=12tan(40^\circ)[/tex]
[tex]x\approx10.07[/tex]
Therefore, the height of the building is approximately 10.07 meters.
7. The graph of a linear function is shown on the coordinate grid.
(6, 1)
(-6,-5)
What is the slope of the graph of this function in DECIMAL FORM.
Answers
m = (-5 - 1)/(-6 - 6)
m = -6/-12
m = 1/2
decimal form: m = 0.5
Help help help math math
Answers
Answer:
Step-by-step explanation:
Answer:
volume of sphere is 4000cubic ft..... when
[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
3
x
−
x
2
+
6
−
3
a
−
2
−
4
−
1
b
0
6
1
8
2
c
3
d
Answers
Answer:
Here is your answer
Step-by-step explanation:
50
What are the amounts of interest and maturity value of a loan for ₱180,000 at 5 % *
1 point
A. Is = ₱18,000 ; F= ₱198,000
B. Is = ₱27,000 ; F= ₱207,000
C. Is = ₱36,000 ; F= ₱216,000
D. Is = ₱45,000 ; F= ₱227,000
Answers
Answer:
CHOPE IT HELPS YOU BRAINLIEST
Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. Henry and Jacob work together. How long will it take to fill the shelves? Justify your answer.
Answers
Answer:
3 3/4 hours
Step-by-step explanation:
If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.
Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.
Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?
A.
$30
B.
$45
C.
$60
D.
$80
Answers
Answer:
Ti's C, $60
Step-by-step explanation:
30 = 50% ---> b/c 100% - 50% = 50%, and 30 is sum
So mutiply by 2, to get 100%
60 = 100%
60 is the price of the bag
Please help me with this problem TwT. Triangles.
Answers
Answer:
X = 80°
Step-by-step explanation:
it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18
this means the two bottom angles are the same so the other would also be 50°
Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle
Enter your answer in the box.
What is the value of x?
Answers
Based on the shape and the angles already given in the diagram, the value of x must be 80°
The interior angles of a triangle must always add up to 180°
This means that the value of x is:
180 = 70 + 30 + x
180 = 100 + x
x = 180 - 100
x = 80°
In conclusion, x is 80°.
Find out more about the interior angles of a triangle at https://brainly.com/question/7888180.
Ryan has a collection of 1,200 pennies.
25% are dated before 1980
35% are dated from 1980-2000
the rest are dated after 2000
How many pennies in Ryan's collection are dated after 2000?
Answers
Answer:
480 Pennies.
Step-by-step explanation:
25% (1980) + 35% (1980-2000) = 60%
40% (2000+) Percent of 1200 is 480 Pennies.
Please helppp asappppp
Answers
Answer:x=10
Step-by-step explanation:
First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10
Which of the following numbers are whole numbers
A-0.6122
B-2469
C- 759084.2
D-435.752
E-6564.27
F-183
Answers
Answer:
B - 2469 and F - 183
Step-by-step explanation:
B and F are whole numbers because they don't have any decimal places.
Answer:
b
Step-by-step explanation:
because it's a b so you would automatically wanna put down B because It's a B
14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55
Answers
Answer:
The second one or B
Step-by-step explanation:
1/4 = 0.25 then 0.55 then 79% = 0.79
What is the correlation coefficient of y=2.6x+43.1?
Answers
Answer:
\mathrm{X\:Intercepts}:\:\left(-\frac{431}{26},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:43.1\right)
Step-by-step explanation:
Given 7x + 2 > 58, which number is not in the solution set?
1) 6
2) 8
3) 10
4) 12

Answers
Answer:
option 1
Step-by-step explanation:
7x + 2 > 58 ( subtract 2 from both sides )
7x > 56 ( divide both sides by 7 )
x > 8
So only values greater than 8 are in the solution set
6 is not greater than 8, then is not in the solution set
Help ASAP pleaseee
A line passes through the points (-4,1) and (-3,3) this line can be modeled by the equation y=mx+b
What is the values of m and b?
Answers
Answer:
2/1=2
Step-by-step explanation:
y=mx+b= 2
3-1=2
-3-(-4)=1
2/1=2
Answer:
m = 2 and b = 9
Step-by-step explanation:
i think yes, bc the equation is y = 2x + 9
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!
Answers
Answer:
3200 meters
Step-by-step explanation:
because it is
Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
The number of laps around the track to run for 3.1 miles is 12.5.
What is unit conversion?Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
We have,
The track length = 400 meters
One lap = 400 meters.
We have,
3.1 miles
1 foot = 0.3048 meter ____ (1)
We know that,
[ 1 mile = 5280 foot ]
So,
3.1 miles = 3.1 x 5280 foot
3.1 miles = 16368 foot
From (1),
3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters
Now,
Since 400 meters is one slap.
The number of laps in 4988.9664:
Divide 4988.9664 by 400
= 4988.9664 / 400
= 12.47
Rounding to the nearest tenth.
= 12.5
Thus the number of laps around the track to run for 3.1 miles is 12.5.
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PLEASE HELP!!! I’ll mark as brainiest!
Answers
Answer:
1. (-2, 3)
2. (-4, -6)
3. (3, -6)
4. (-5, 2)
5. (9, 1)
1. (-3, -2)
2. (6, -4)
3. (6, 3)
4. (-2, -5)
5. (-1, 9)
PLZ HELP, I need it done in like 20 mins. PLZZZ
Answers
Answer:
16.8
Step-by-step explanation:
Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator
What is mL BCD ?
THANK U <3
Answers
m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°
Ok done. Thank to me :>
Trevor earns $7.80 an hour take home pay and works 20 hours each week. Trevor wants to buy a new laptop computer to take to college that costs $780. How many weeks will it take for Trevor to achieve his goal? a. 4 weeks b. 5 weeks c. 6 weeks d. 7 weeks
Answers
Answer:
5 weeks
Step by step
7.80 x 20 = 156
156 x 5 = 780
Answer: B) 5 weeks
Step-by-step explanation: I know your struggling and that's why you need this answer. your welcome cutie.
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Thank you for whoever solves this, I will make sure to add brainliest if possible
Answers
Answer:
66,000 kg·km/hr
Step-by-step explanation:
p = mass × velocity
p = (1200 kg) × (55 km/hr) = 66,000 kg·km/hr
_____
Additional comment
Here, we have used the standard metric units for momentum. The units you choose can be any mass·velocity units that meet your needs.
if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank
Answers
Because there are 5 week days so most likely they will meet up on those days
Ed and Sally are taking a tour of Paris. There are 333 different types of tours (walking tour, bike tour, and trolley tour) and 222 different times each tour is offered (morning and evening). They each created a display to represent the sample space of randomly picking a type of tour and a time.
Whose display correctly represents the sample space?
Answers
Answer: the answer is sally only
out of 300 students at rsm summer camp 180 are boys what fraction of all students are boys
Answers
Answer:
3/5
Step-by-step explanation:
so first of all...
out of
300
students,
180
are boys.
180/300
which, simply by 60
3/5
so.. 3/5 of the people at rsm (whatever that is) summer camp are boys! Explanation isn't good, but you didn't really ask for it so i think you're ok... I guess. Now i just need an answer to my problem...
In rsm summer camp, fraction of boys is 3/5.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
Given that,
Total number of students at rsm summer camp = 300.
Total number of boys at rsm summer camp = 180.
To find the fraction of boys to all students.
Fraction of boys = number of boys / total number of students
= 180 / 300
= 18 / 30
= 3 / 5
The required fraction of boys is 3/5.
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pls help i will give brainliest!!!!! :)
Answers
Answer: c.50 is the answer
The original price of a camera was 7200.00. I
was given a discount of 36%. How much did I pay for
the camera?
Answers
Answer:
$4,608.00
Step-by-step explanation:
Subtract 36% from 7,200 and you get 4,608.
2x + 16 = 22x
Variables on both sides
Answers
answer: Subtract sixteen from both sides of the equation
2 +16 -16=22x -16
x = 4/5
Write the equation of the line parallel to y - 3x=4 and containing (3,10)
Answers
If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]
Answers
Answer:
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Distributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]
Step 2: Simplify:
Rewrite [Exponential Distributive Property]: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex][tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]
[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]
Take x^2 common and cancel.[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
