solve the system using substitution 5x+3y=-4 y-2x=6
Solving steps:-
5x+3y=−4
y−2x=6
-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
5x+3y=−4,−2x+y=6
-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
5x+3y=−4
-->Subtract 3y from both sides of the equation.
5x=−3y−4
--> Divide both sides by 5.
x = 1/5(-3y - 4)
--> Multiply 1/5 −3y−4.
x = -3/5y - 4/5
--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.
-2 (-3/5y - 4/5) + y = 6
--> Multiply −2 times -3y - 4/ 5
6/5y + 8/5 + y = 6
--> Add 6y/5 to y
11/5y + 8/5 = 6
--> Subtract 8/5 from both sides of the equation.
11/5y = 22/5
--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.
y = 2
--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.
x = -3/5 x 2 - 4/5
--> Multiply -3/5 times 2.
x = -6 - 4/ 5
--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x = -2
--> The equation is now solved.
Answer : x = -2, y = 2
Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.
Cameron wants to buy a camera for $259. He has $50 and plans to save $20 each week. How many weeks will it take to save enough money to buy the camera? (not including
sales tax)
Answer:
About 11 Weeks
Step-by-step explanation:
I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.
8 grade math part 1 help me
2. A bakery makes muffins and cookies. Muffins are sold 18 to a box and cookies are sold 25 to a bag. They do not sell individual muffins or cookies. (a) On Saturday, the bakery made 1020 muffins. How many full boxes did the bakery use for the muffins they plan to sell on Saturday? Show your work. (b) On Monday, the bakery made 2820 cookies. How many full bags did the bakery use for the cookies they plan to sell on Monday? Show your work. (c) Look at your work from Part (a) and (b). What do the remainders represent in each problem?
19.
In a Space Needle, the elevators whisk you to the revolving restaurant at a speed of 650
feet in 60 seconds. If the revolving restaurant is 370 feet up, how long will it take you to reach
the restaurant by elevator? Round answer to two decimal places.
Divide (x^3+2x-6x-9) by (x+3)
Answer:
x² - 3x + 5 - [24÷(x+3)]
Step-by-step explanation:
1. Expand (x³ + 2x - 6x - 9)
= x³ - 4x - 9
2. Divide [x³ - 4x - 9 by x+3]
= x² + [(-3x^2-4x-9) ÷ (x+3)]
3. Divide [(-3x^2-4x-9) by (x+3)]
= -3x + [(5x-9) ÷ (x+3)]
x² - 3x + [(5x-9) ÷ (x+3)]
4. Divide [(5x-9) ÷ (x+3)]
= 5 + [(-24) ÷ (x+3)]
x² - 3x + 5 + [(-24) ÷ (x+3)]
= x² - 3x + 5 - [24 ÷ (x+3)]
Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She throws 24 pitches. The mean speed of the sample pitches is 37 miles per hour. Floretta knows from experience that the standard deviation for her pitch speed is 5 miles per hour.
H0: μ≥46; Ha: μ<46
α=0.05 (significance level)
What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
find x and y intercepts of
3x - 2x = 5
Answer:
x=5
Step-by-step explanation:
there is no y intercept
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\mathbf{Amphitrite1040:)}[/tex]
Y=3x-1 i need help now right now.
Find the domain and range of f... please help
The range is [tex]\boxed{-4 \leq y < 0}[/tex].
A number increased by 4 is less than - 12.
Answer:
is this all the information from the question
What is the solution of this inequality? r−6>−11
Answer:
r > -5
Step-by-step explanation:
r - 6 > -11
+ 6 + 6
---------------
r > -5
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Find the value of the variable.
Answer:
Step-by-step explanation:
Draw a line from S to T'
T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.
This line bisects the 50 degree angle (which is given. It also bisects PRS.
y is shown on the diagram.
Your first job is to find y
It's y + 90 + 25 = 180 because all triangles are made up of 180 degrees.
y it turns out is 65 degrees.
Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y
<PRT' + Y = 180
y = 65
<PRT' = 180 - 65 = 115
Since PRT' = 115 and since PR = PT' (They are both radii). x/2 + x/2+ 115 = 180 I'll talk about x/2 down below this.
x + 115 = 180 All triangles = 180
x = 65.
Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i
It's a very good application of circles and lines well worth your time to get to know.
A parallelogram is transformed according to the rule (x,y) - (x,y). Which is another way to state the transformation?
A. Ro.90
B. RO, 180
C. R0,270
D. RO,360°
Please help me! No links, cheaters, or rude comments please!
Answer:
hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose
Step-by-step explanation:
Answer:
a and d is correct I did the test and got 100 .
please help before it's Monday
Answer:
Mateo's data shows a negative association
Step-by-step explanation:
Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.
We can clearly see the typos found number increasing through the number of pages. Which is bad :/
Hope this helps :)
can someone give me the answers please?
Answer:
6. slope= -4/5 Y-intercept is 3
7.
a.y=-2x
b.y=1x+1
c.5/2x-1
d.y=4x+3
e.y=-3/2x-5
Step-by-step explanation:
Solve. x 2 = 7
pls help!!
Answer:
x = 14
Step-by-step explanation:
1) Multiply both sides by 2.
x = 7 * 2
2) Simplify 7 * 2 to 14.
x = 14
Answer:
D.
Step-by-step explanation:
when using diversions in fractions to whole numbers you will always multiply the denominator by the whole number. So 2 x 7 equals 14. :))
Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?
Answer:
y=150(x/2)
Step-by-step explanation:
y = 150(x/2)
y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.
x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.
With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).
Find the slope. Name the unit rate
Answer:
The slope is 4/5 i dont know unit rate though, hope this helps:)
4*5=5*4
Distributive property
expanded form true
Step-by-step explanation:
Prime number after 167, 118, 82, 57, 41,
The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
Prime numbers are numbers that are divisible by 1 and itself.
This are number greater than one with only two factors which are 1 and itself.
In other words, this number, when they are divided by another number other
than 1 or itself , one will get a remainder that is not zero.
Example of prime numbers are 2, 5, 7, 11, 13 etc.
The prime numbers after 167, 118, 82, 57, 41 are as follows:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
learn more about prime number here: https://brainly.com/question/26013414
PLZ HELP ME WITH MY MATH HOMEWORK!!!!!! SHOW WORK
Answer:
Step-by-step explanation:
-(4q+8) + 6q = 12q - 5/6(18q + 6)
Open brackets:
<=> - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6
<=> - 4q - 8 + 6q = 12q - 15q - 5
Put q in one side and non q in one side:
<=> - 4q + 6q - 12q + 15q = 8 - 5
<=> 5q = 3
<=> q = 3/5
Evaluate: 3cos 80° cosec 10° + 2 sin 59° sec 31°
correct answer will be marked as Brainliest.
Given that
3 cos 80° cosec 10° + 2 sin 59° sec 31°
⇛3 cos(90°-10°) cosec 10°+2 sin (90°-31°) sec 31°
We know that
sin (90° - A) = cos A
cos (90°-A) = sin A
⇛3 sin 10° cosec 10° + 2 cos 31° sec 31°
⇛3 sin 10° (1/sin 10°) + 2 cos 31° (1/cos 31°)
⇛3 (sin 10°/sin 10°) + 2 (cos 31°/cos 31°)
⇛3 (1) + 2(1)
⇛3+2
⇛5
Answer: Therefore, 3cos 80°cosec 10°+2cos 59°sec 31° = 5.
also read similar questions: (sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^
https://brainly.com/question/87846?referrer
Answer:
5
Step-by-step explanation:
you can rewrite this as
3cos(90*-10*) x 1/sin(10*) + 2sin(90*-31*) x 1/cos(31*)
=3sin(10*) x 1/sin(10*) + 2cos31* x 1/cos(31*)
reduce with sin(10*) to get
3+2cos(31*) x 1/cos(31*)
cross out the cos 31* on both sides to leave you with
3+2
5
Please Help Me - Calc.
[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]
[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]
[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]
The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.
Incorrect Work/Solution
Identify and explain the Error
x
(6x + 3) + (3x +1) + x + x
6x + 3x + x +x+3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Correct Work/Solution
Share a Strategy
Answer:
Refer to link below:
Step-by-step explanation:
https://brainly.com/question/25868816?referrer=searchResults
Find the sides, and the value of x and y.
Answer:
[tex]\huge\boxed{x=15;\ y=4}[/tex]
Step-by-step explanation:
Proportion:
[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]
[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]
substitute x = 15:
[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]
please help meeeeeeee due in 5 minutessssssssssssss
Answer:
I think it would be 6. But im not 100% sure
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Mean x¯¯¯ 12.875
Median x˜ 11.5
Mode 15
Range 34
Minimum 6
Maximum 40
Count n 16
Sum 206
Quartiles Quartiles:
Q1 --> 8.5
Q2 --> 11.5
Q3 --> 14.5
Interquartile
Range IQR 6
Outliers 40
A car is traveling at a speed of 70 miles per hour. What is the car's speed in miles per hour? How many miles will the car travel in 5 hours?
BRAINLIEST!Because he holds a degree in environmental science, Jared is the environmental inspector for a company that manufactures Styrofoam. What is one task that Jared would perform as part of his job?
A.
Jared oils the large press that forms the Styrofoam.
B.
Jared makes a schedule for Styrofoam deliveries.
C.
Jared tests the air quality in the room where the Styrofoam is stored.
D.
Jared designs the assembly line for the factory.
Answer: I looked it up please give a brainliest if correct:
Step-by-step explanation: I looked it up y copying and pasting and thats probably what you should have done never hurts to try new ways a lot of people said D.
Answer:
I would say D.
Step-by-step explanation:
Please double check i don't want you to fail your quiz