Answer:
x=34/5 , y= -4/5Step-by-step explanation:
[tex]\begin{bmatrix}\frac{x-5}{3}+\frac{y+2}{3}=1\\ \frac{1}{3}x-\frac{1}{2}y=\frac{8}{3}\end{bmatrix}\\\\\\\frac{x-5}{3}+\frac{y+2}{3}=1\\\\\mathrm{Subtract\:}\frac{y+2}{3}\mathrm{\:from\:both\:sides}\\\\\frac{x-5}{3}+\frac{y+2}{3}-\frac{y+2}{3}=1-\frac{y+2}{3}\\\\Simplify\\\\\frac{x-5}{3}=1-\frac{y+2}{3}\\\\\mathrm{Multiply\:both\:sides\:by\:}3\\\\\frac{3\left(x-5\right)}{3}=3\times\:1-3\times\frac{y+2}{3}\\\\Simplify\\\\\frac{3\left(x-5\right)}{3} =x-5\\\\3\cdot \:1-3\cdot \frac{y+2}{3}[/tex]
[tex]=-y+1\\\\x-5=-y+1\\\\x-5=-y+1\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\\\x-5+5=-y+1+5\\\\Simplify\\\\x=-y+6\\\\\mathrm{Substitute\:}x=-y+6\\\\\begin{bmatrix}\frac{1}{3}\left(-y+6\right)-\frac{1}{2}y=\frac{8}{3}\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}\frac{-5y+12}{6}=\frac{8}{3}\end{bmatrix}\\\\Solve\:for\:y\\y=-\frac{4}{5}\\\\\mathrm{For\:}x=-y+6\\\\\mathrm{Substitute\:}y=-\frac{4}{5}\\\\x=\frac{34}{5}\\\\x=\frac{34}{5},\:y=-\frac{4}{5}[/tex]
What does the diagram show about Earth’s interior?
The outer core is the hottest region.
The mantle is hotter than the outer core.
The continental crust is the coolest region.
The inner core is cooler than the lithosphere
Answer:
C. The continental crust is the coolest region.
Step-by-step explanation:
Because the closer you get to the earth's interior, the hotter it gets.
In ΔNOP, p = 72 inches, o = 84 inches and ∠O=19°. Find all possible values of ∠P, to the nearest degree
Answer:
16
Step-by-step explanation:
The value of the angle m∠P is given by the law of sines and m∠P = 16°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔNOP
Now , the measure of side p = 72 inches
The measure of side o = 84 inches
And , the measure of angle ∠O = 19°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin p / 72 = sin o / 84
Multiply by 72 on both sides , we get
sin p = ( 72 / 84 ) sin ( 19 )°
On further simplification , we get
sin p = ( 0.857 ) x 0.325568
sin p = 0.279058
Taking inverse on both sides , we get
p = sin ⁻¹ ( 0.279058 )
p = 16.204°
Therefore , the value of p is 16°
Hence , the measure of angle ∠P = 16°
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The measure of one interior angle of a parallelogram is 42 degrees more than twice the measure of another angle. Find the measure of each angle.
Answer:Measure of the angles are 50, 130, 50 & 130
Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.
enter image source here
Let one angle be A
Other adjacent angle b will be 180-a
Given b = 2a + 30. Eqn (1)
As B = 180 - A,
Substituting value of b in Eqn (1) we get,
2
A
+
30
=
180
−
A
∴
3
a
=
180
−
30
=
150
A
=
50
,
B
=
180
−
A
=
180
−
50
=
130
Measure of the four angles are
50
,
130
,
50
,
130
there are 13 boys and 10 girls in the classroom. What is the ratio of boys to girls
Answer:
13 to 10 13:10 13/10 all the same.
it can't be simplified because 13 can't be made smaller in equal proportions to 10.
Step-by-step explanation:
Answer:
13 to 10
Step-by-step explanation:
I haven't done this since 2nd grade
A bag contains 5 back marbles 10 red marbles and 20 blue marble which statement is true
Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. What is the total cost of the project?l
Answer:271.66$
Step-by-step explanation:
Two pizza delivery drivers compared the mean numbers of
deliveries they completed in one day.
Answer:
B
Step-by-step explanation:
Ape x
Answer:
Step-by-step explanation:
C
Calculate the sum between the fractions below in simplest form *(write as a mixed number)*
PLZ HELP!!!!!!
Answer:
1 2/8 and 1 1/15
Step-by-step explanation:
10/8 is equal to 1 and 2/8
16/15 is equal to 1 and 1/15
PLS HELP ILL GIVE BRAINLIEST
Answer:
I believe that the answer is 13 feet long
Which inequality describes the possible values of x?
B
F
12
50°
с
E
G
(5x-10)
10
D
A. 2
O
B. 2
C. 2
D. 2 < x < 22
Answer:
Step-by-step explanation:
ive done this before and the answer to the equation is c and also truss me on this if you want. I wouldnt
The inequality that describes the possible value of x is 2< x < 22.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Given that ∠A = 50°
AB ≈ DE ≈ EF
BC = 12
CD = 10
And the ∠E = (5x - 10)°
From the Graph, we can see that Angle A is the alternate angle to angle G
Alternate angles are the angles that occur on opposite sides of the transversal line. We can easily spot two interior alternate angles by drawing Z. The value of alternate angles is equal.
thus, ∠A = ∠E
50° = 5x -10
5x = 60
x = 12
Therefore, from the given options the value of x lies in the inequality 2 < x < 22.
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A large aquarium should contain 10,000 liters of water when it is filled correctly. It will overflow if it gets up to 12,000 liters. The fish will get sick if it gets down to 4,000 liters. The aquarium has an automatic system to help keep the correct water level. If the water level is too low, a faucet fills it. If the water level is too high, a drain opens. One day, the system stops working correctly. The faucet starts to fill the aquarium at a rate of 30 liters per minute, and the drain opens at the same time, draining the water at a rate of 20 liters per minute. How long will it take until the tank starts overflowing or the fish get sick (if it started with 10,000 liters of water)?
Answer:
The water level is rising because it is filling 10 more liters than it is draining
16.7 hours
Step-by-step explanation:
The rate at which the tank is filled and the rate at which the tank is draining
are constant.
Correct response;
The tank will start overflowing after 3 hours and 20 minutes. Method used to obtain the above response;Given:
Volume of water in the aquarium = 10,000 liters
Volume level at which the tank overflows = 12,000 liters
Level of the volume at which the fish get sick = 4,000 liters
Rate at which water enters the tank = 30 liter per minute
Rate at which the tank is draining the water = 20 liters per minute
Required;
The time it will take until the tank starts overflowing.
Solution:
Water that needs to be added to the tank before it begins to overflow = 12,000 liters - 10,000 liters = 2,000 liters
Let x represent the time after which the tank starts overflowing, the
(constant) rate of change function that gives the time it takes for the water
to overflow is therefore;
30·x - 20·x = 2,000
10·x = 2,000
x = 200 minutes = 3 hours and 20 minutes
The time it to overflow is 3 hours 20 minutes.Learn more about rate of change functions here:
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Mohamed wants to buy a television that costs $800, including taxes. To pay for the television, he will use a payment plan that requires him to make a down payment of $200, and then pay $65 each month for 10 months. What is the percent increase from the original cost of the television to the cost of the television using the payment plan?
Answer:
6.25%
Step-by-step explanation:
I'm simply returning the favor.
If the down payment is $200, then we can subtract:
$800 - $200 = $600
Then we can find the "rent" times ten, then subtract it from the $600 left to pay.
$65*10 = $650
Now here is the hard part. We know that 600 < 650. So we need to subtract 650 from 600.
$650 - $600 = $50
Now we need to find how much more Mohamed paid than the original price.
$850 is _____% more than $800.
$850 is 106.25% more than $800.
Subtract 100% to get the difference.
6.25% is your answer.
Hope this helps. Have a nice day.
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=8°, and BC = 6.4 feet. Find the length of DB to the nearest tenth of a foot.
Answer:
6.3
Step-by-step explanation:
Answer:
6.3 feet
Step-by-step explanation:
cosB= hypotenuse/adjacent = x/6.4
cos8 = x/6.4
6.4 cos8= x
x= 6.3377 = 6.3 feet
Which statement about the dilation of these triangles is true?
O The scale factor is
1/2
The scale factor is 2.
The scale factor is 3.
The scale factor is 4.
Given:
The figure of two triangles.
To find:
The scale factor.
Solution:
We know that,
[tex]\text{Scale factor}=\dfrac{\text{Side of Image}}{\text{Corresponding side of original figure}}[/tex]
In the given figure,
[tex]\text{Scale factor}=\dfrac{5(2)}{5}[/tex]
[tex]\text{Scale factor}=2[/tex]
The scale factor is 2. Therefore, the correct option is B.
how does a fraction model help you
Answer:
Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.
Step-by-step explanation:
At Janice's current age she is not only 5 times as old as Ross, but she is also 28 years older than Ross. How old is Janice?
Janice's age is 35 years.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Ross age = x
Now,
Janice age = 5x ____(1)
Janice age = x + 28 _____(2)
From (1) and (2),
5x = x + 28
5x - x = 28
4x = 28
x = 7
Now,
Janice age.
= 5 x 7
= 35
Thus,
Janice's age is 35 years.
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The doubling period of a bacterial population is 15 minutes. At time t= 80 minutes, the bacterial population was 90000
Answer:
here i finished!
hope it helps yw!
Step-by-step explanation:
The doubling period of a bacterial population is 15 minutes.
At time t = 90 minutes, the bacterial population was 50000.
Round your answers to at least 1 decimal place.
:
We can use the formula:
A = Ao*2^(t/d); where:
A = amt after t time
Ao = initial amt (t=0)
t = time period in question
d = doubling time of substance
In our problem
d = 15 min
t = 90 min
A = 50000
What was the initial population at time t = 0
Ao * 2^(90/15) = 50000
Ao * 2^6 = 50000
We know 2^6 = 64
64(Ao) = 50000
Ao = 50000/64
Ao = 781.25 is the initial population
:
Find the size of the bacterial population after 4 hours
Change 4 hr to 240 min
A = 781.25 * 2^(240/15
A = 781.25 * 2^16
A= 781.25 * 65536
A = 51,199,218.75 after 4 hrs
whats 9.125 estimated?
Answer:
9
Step-by-step explanation:
9.125 rounded to the nearest number is 9
If this helps please mark this answer as the brainliest
Answer:
9.000
Step-by-step explanation:
I think it is 9.000 because the number is below is 5 which means you round down which will give you 9.000
I hope this helps;)
(not %100 sure)
Manny is paid semimonthly. His semimonthly salary is $1,239. What is his annual salary?
Answer:
Semimonthly is twice a month. There are 12 months in a year, which means Manny will get paid 12 x 2 = 24 times a year.
His annual salary is:
$1,239 x 24 = $29,736
it takes a word processor 28 minutes to word process and spell check 10 pages. Find how long it takes her to word process and spell check 45 pages.
hlep plz i need your help brainly
Answer:
2 cm and 7 cm
Step-by-step explanation:
6/3 and 21/3 = 2 and 7
30 kg of tomatoes cost $93. how much would 14 kg cost
Answer:
$43.4
Step-by-step explanation:
Let's say x is the cost per kilgram
30x = 93
x = 3.1
14x = 43.4
you move right 7 units. you end at (4,-4) where did you start? someone please help fast.
Answer:
(-3 , -4)
Step-by-step explanation:
When you move right on a coordinate plane, you go up positively on the X axis. So in order to find where you started, simply reverse the change by subtracting 7 from 4, and you get -3.
yo if you gave me brainliest that would be pretty poggers, as it turns out that only a small percentage of you guys are actually subscribed, so please hit that thanks button, and consider giving me brainliest. it's free, and you can always change your mind later.
What is cos(r)
(Picture)
Answer:
cos = adj/hyp
= 16/20
= 4/5
I have four questions if you will answer them I will Venmo you $10
directions: make sure to change all problems 1 - 4 from standard form to slope intercept form and find the solution of each system of equations make sure to show your work to receive full credit
Explain how to find the slope and y-intercept by just looking at the equation
y = x - 2. Then graph the equation and verify your answers.
Caitlyn was traveling at 16 m/s and creatures be to 4 m/s in three seconds. What was Caitlyn's acceleration?
Answer:
-4m/s²
Step-by-step explanation:
(4m/s - 16m/s) / 3s = -12m/s / 3s = -4m/s²
Each tape diagram represents I whole.
1
3
2
H
Choose the tape diagram that represents the equation,
Choose 1 answer:
?+ ?
? + ?
Hi! From what I know, your answer should be 5n = 1.75.
This is because all 5 of those n's ultimately equal the large box of 1.75 on the top. Think of it as fractions. if we replaced 1.75 with 1, those n's would each be 1/5.
Lydia invested $5900 in an account paying an interest rate of 2 5/8% compounded monthly. Jace invested $5900 in an account paying an interest rate of 2 1/8% compounded continuously. After 19 years how much more money would lydia have in her account than jace to the nearest dollar.
Answer:
$875.18
Step-by-step explanation:
Given data
Lydia
P=$5900
Interest rate=2 5/8% >>21/8= 2.625%
compounded monthly.
First, convert R percent to r a decimal
r = R/100
r = 2.625%/100
r = 0.02625 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 5,900.00(1 + 0.0021875/12)^(12)(19)
A = $ 9,710.01
Jace
P=$5900
Interest rate= 2 1/8% >>> 17/8>> 2.125%
Time= 19 years
First, convert R percent to r a decimal
r = R/100
r = 2.125%/100
r = 0.02125 per year,
Then, solve our equation for A
A = Pert
A = 5,900.00(2.71828)^(0.02125)(19)
A = $ 8,834.83
Hence the difference in their account balance is
= 9,710.01- 8,834.83
=$875.18
Therefore Lydia has $875.18 more money than Jace
Answer: $875
Step-by-step explanation: $875.18
Write the linear equation in slope intercept form of a line that is not parallel or perpendicular to y = x - 4
Answer:
y = xa - (4 + b)
where a or b do NOT = 1
Step-by-step explanation:
changing a changes the angle of the line, where as changing b changes how high up or down the y-axis the line crosses at
the current problem draws a line that is 45 degrees and crosses the y-axis at -4, we can change that in any way, if we make a = 3, then the slope will be 3 times greater then if it was 1, if it was 1/3 then it would be 1/3 of the slope, making it seem flatter and less steep
i hope this helps you create your own formulas now and in the future, this is a reference sheet i made for my own schooling, though i used a different example problem
as always. y = mx + b and have a great day :D