System of equations by elimination
2x - 3y = 5
2x + 2y = 10

System Of Equations By Elimination 2x - 3y = 52x + 2y = 10

Answers

Answer 1
2x-3y=5
2x=5+3y
X=5+3y/2



2x+2y=10
2(x+y)=10
x+y=10/2
x+y=5
X=5-y

Related Questions

PQ=RQ and PS=RS
What does b=?

Answers

[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.

The following steps can be used in order to determine the measure of angle b:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

[tex]\angle Q + \angle P + \angle R = 180[/tex]

[tex]\angle Q + 2\angle R = 180[/tex]

[tex]2\angle R = 180-60[/tex]

[tex]\angle R = 60^\circ[/tex]

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

[tex]\angle P + \angle S + \angle R = 180[/tex]

[tex]\angle S + 2\angle R = 180[/tex]

[tex]2\angle R = 180-90[/tex]

[tex]\angle R = 45^\circ[/tex]

Step 4 - Now, the measure of angle b is calculated as:

[tex]\angle b = 60-45[/tex]

[tex]\angle b = 15^\circ[/tex]

The measure of angle b is 15 degrees.

For more information, refer to the link given below:

https://brainly.com/question/7915845

How old am I if 2 times my age increased by 244 is 400?

Answers

Answer:

78

Step-by-step explanation:

400-244=156

156/2=78

Answer:

78 years old

Step-by-step explanation:

400 − 2 x = 244

400 − 244 = 2 x

156 = 2 x

so the answer would be 78 years old...

Hope that was helpful.Thank you!!!

I NEED HELP! WILL BE GIVING BRAINLIEST TO THE CORRECT ANSWER + 30 POINTS!!!!

Answers

Answer:

l = 20 cm

w = 12 cm

Step-by-step explanation:

P = 64 = 2w + 2l

2w = 4 + l

64 = 4 + l  + 2l

64 - 4 = 3l

3l = 60

l = 20 cm

2w = 20 + 4

2w = 24

w = 12 cm

A bus travels the 240 miles from Boston to New York. It departs at 11:00 a.m. and arrives in New York at 3:00 p.m. What is the average speed of this bus?

Answers

Answer: 60miles/hours

Step-by-step explanation:

From the question, a bus travels the 240 miles from Boston to New York and the bus departs at 11:00 a.m. and arrives in New York at 3:00 p.m. The time taken by the bus is (3:00pm - 11:00am) = 4 hours.

Average speed = Distance/Time

Average speed =240miles/4 hours

Average speed= 60miles/hours

The the average speed of this bus is 60miles/hour.

Find the third side in simplest radical form

Answers

Answer:    3*sqrt(6)

=========================================================

Work Shown:

We see that one of the legs is unknown. We'll call this 'a'.

The other leg is b = 2, which becomes b^2 = 4

The hypotenuse (always opposite the 90 degree angle) is c = sqrt(58). This turns into c^2 = 58 when you square both sides.

---------

Use the pythagorean theorem to get

a^2+b^2 = c^2

a^2+4 = 58

a^2 = 58-4

a^2 = 54

a = sqrt(54)

a = sqrt(9*6)

a = sqrt(9)*sqrt(6)

a = 3*sqrt(6)

The third side in simplest radical form is x=3[tex]\sqrt{6}[/tex]

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios, metric relationships, or the Pythagorean Theorem.

For solving this question, you need to apply the Pythagorean Theorem that says: (hypotenuse)²= (leg1)²+(leg2)².  

The question gives:

Hypotenuse= [tex]\sqrt{58}[/tex]Leg1= 2Leg2= third side = unknow

Applying the Pythagorean Theorem, you have:

([tex]\sqrt{58}[/tex])² = 2²+ x²

58=4+x²

x²=58-4

x²=54

x=[tex]\sqrt{54}[/tex]

x=[tex]\sqrt{2*3^3}[/tex]

x=[tex]\sqrt{2*3^2*3}[/tex]

x=3[tex]\sqrt{2*3}[/tex]

x=3[tex]\sqrt{6}[/tex]

Learn more about the Pythagorean theorem here:

brainly.com/question/11528638

#SPJ6

What is 3(4a−3)−(6a+5)? (Thank you to everyone for their hard work!)

Answers

Answer:

6a−14

Step-by-step explanation:

Answer:

[tex]=6a-14[/tex]

Step-by-step explanation:

[tex]3\left(4a-3\right)-\left(6a+5\right)\\\mathrm{Expand}\:3\left(4a-3\right):\quad 12a-9\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\\mathrm{Simplify}\:3\cdot \:4a-3\cdot \:3:\quad 12a-9\\=12a-9\\-\left(6a+5\right):\quad -6a-5\\=12a-9-6a-5\\\mathrm{Simplify}\:12a-9-6a-5:\quad 6a-14\\=6a-14[/tex]

Please help with this question​

Answers

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]

[tex]\frac{5^{8+-2}}{5^4}[/tex]

[tex]\frac{5^{6}}{5^4}[/tex]

[tex]5^{6-4}[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

PLEASE HELP ME FOR 5 POINTS

Answers

Answer:-7n-21-8-64n

-71n-29

Step-by-step explanation:

Answer: -71n - 29

Step-by-step explanation:

-7n - 21 -8 - 64n

Collect like terms:

-7n - 64n -21 - 8

Alex, Stephen and Bridget share some sweets in the ratio 4:1:1. Alex gets 36 sweets. How many sweets are there altogether?

Answers

Answer:

There are 54 total sweets  

Step-by-step explanation:

Alex: Stephen : Bridget : total

4:          1          :      1       : 4+1+1 = 6

Alex gets 36

36/4 = 9

Multiply each number by 9

Alex: Stephen : Bridget : total

4*9:          1*9   :      1*9    :    6*9

36:               9 :         9     :   54

There are 54 total sweets  

There r 54 sweets in total

PLEASE HELP ME I NEED HELP

Answers

Answer:

Step-by-step explanation:

V = 4/3(π)(3)^3

V= 4/3(27)π

V= 36π

V = 113.1 cm^3

Suppose the 3 schools have succeeded in raising
the following amounts of money on day 7:
School A: $5,400, School B: $5,600, School C:
$3,800. Which statement is true?
Click on the correct answer.
School B is below its goal.
School C is at its goal.
School A is above its goal.​

Answers

Answer:

school b

Step-by-step explanation:

it has more

Answer:

School C

Step-by-step explanation:

It got more than its original amount

It is 4 : 12 p.M. 4:12 p.M.4, colon, 12, start text, space, p, point, m, point, end text Emma's mom will be home from work in 70 7070 minutes, and Emma has gymnastics lessons at 6 : 00 p.M. 6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How much time will Emma have between the time that her mom gets home from work and the beginning of gymnastics lessons?

Answers

Answer:

40 Minutes.

Step-by-step explanation:

The current time = 4:12 p.M.

Emma's mom will be home from work in 70 minutes.

70 minutes = 1 hour 10 Minutes= 1: 10 Hours

[tex]\left\begin{array}{ccccc}&4&:&12 &p.m.\\+&1&:&10&\\--&--&--&--&--\\&5&:&22&p.m\end{array}\right[/tex]

Therefore, Emma's Mom will get home by 5: 22 p.m.

Emma has gymnastics lessons at 6 : 00 p.M.

To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.

[tex]\left\begin{array}{ccccc}&6&:&00 &p.m.\\-&5&:&22&\\--&--&--&--&--\\&00&:&40&\end{array}\right[/tex]

Emma  will have 40 Minutes.

Answer:

38

Step-by-step explanation:

70 mins

​  

 

=60 mins+10 minutes

=1 hour+10 mins

=1 hour and 10 mins

​  

 

Hint #22 / 5

\begin{aligned} &4{:}12 + \greenD{1\text{ hour}}=5{:}12\\\\ &5{:}12 +\purpleD{10\text{ minutes}}=5{:}22 \end{aligned}  

​  

 

4:12+1 hour=5:12

5:12+10 minutes=5:22

​  

 

Emma's mom will be home at 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text

How much time will Emma have between 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text and the beginning of gymnastics lessons at 6{:}00\text{ p.m.}?6:00 p.m.?6, colon, 00, start text, space, p, point, m, point, end text, question mark

Hint #44 / 5

\blueD{8}\text{ mins} + \maroonD{30}\text{ mins} = 38\text{ mins}8 mins+30 mins=38 minsstart color #11accd, 8, end color #11accd, start text, space, m, i, n, s, end text, plus, start color #ca337c, 30, end color #ca337c, start text, space, m, i, n, s, end text, equals, 38, start text, space, m, i, n, s, end text

Hint #55 / 5

Emma will have 38 minutes between the time that her mom gets home from work and the beginning of gymnastics lessons. FROM KHAN ACADEMY THO.

What is the value of m in the equation 1/2 m - 3/4 n equals 16 when n equals 8

Answers

Answer:

m =44

Step-by-step explanation:

1/2 m -3/4 n = 16

Let n =8

1/2 m - 3/4(8) = 16

1/2 m - 6 = 16

Add 6 to each side

1/2 m -6+6 = 16+6

1/2 m = 22

Multiply each side by 2

m = 22*2

m = 44

Answer:c

Step-by-step explanation:

Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)

Answers

Answer: (2, 6)

Step-by-step explanation:

y - x > -3

x coordinate is 2 and y coordinate is 6

Plug in the x and y coordinates

6 - 2 = 4

4 > -3

PLLLSSSSSS HURRRYYYY To convert Celsius temperatures to Fahrenheit, you can use the expression 9/5 (C + 32). Tom says that another way to write this expression is 9/5 C + 32. What error did Tom make?
A. Tom did not make an error.
B. Tom should have simplified the fraction .
C. Tom did not distribute to both terms in parentheses.
D. Tom should have added inside the parentheses before multiplying.

Answers

Answer:

C.

Step-by-step explanation:

If you are distributing, you must distribute the outside to both terms in the inside.

What is the probability of a number less than 4 showing when a number cube is rolled?

Answers

Answer:

50 percent

Step-by-step explanation:

Answer: there is a 50% chance

Step-by-step explanation:

there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2

write 10 examples of cyllnder in your daiy life

Answers

Step-by-step explanation:

milk container

a room spray

coke can

Answer:

Pipes

Cold drink cans

Water tanks

Battery

Gas cylinder

Candle

Test tube

Beaker

Fire extinguisher

Pls Halp...

Rewrite the expression as a sum of terms, where each term is in the form k*a^n.


sqrt( a ) ( 2a^2 - 4/a )

Answers

Answer:

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

Step-by-step explanation:

The expression to be rewritten has the following form:

[tex]\sqrt{a} \cdot (2\cdot a^{2}-\frac{4}{a} )[/tex]

A polynomial as a sum of terms consists in a sum of terms of the form [tex]c_{i} \cdot a^{k(i)}[/tex], where [tex]c_{i}[/tex] and [tex]k_{i}[/tex] are the i-th coefficient and exponent. The expression has to be expanded to create the sum of terms:

[tex]a^{\frac{1}{2} }\cdot (2\cdot a^{2} - 4\cdot a^{-1})[/tex]

[tex]2\cdot a^{1 + \frac{1}{2} } - 4\cdot a^{-1+\frac{1}{2} }[/tex]

[tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex]

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

What can you say about the value of a if the equation y = ax^2 -8 has no solutions?

Answers

The value of a has no solutions

Simplify 12 square root of 7

Answers

Answer:

Step-by-step explanation:

[tex]12\sqrt{7}\\=31.74901[/tex]

Wang Xiu Ying is gift wrapping boxes in the shape of a cube for her class fundraiser. She calculates that the surface area, S SS, in square feet, of a cube-shaped box with a side of m mm feet is given by the function S ( m ) = 6 m 2 S(m)=6m 2 S, left parenthesis, m, right parenthesis, equals, 6, m, squared. She also finds that the cost, C CC, in dollars, of wrapping a box with a surface area of x xx square feet is given by the function C ( x ) = 0.15 x + 0.25 C(x)=0.15x+0.25C, left parenthesis, x, right parenthesis, equals, 0, point, 15, x, plus, 0, point, 25. Find an explicit expression that models the costs of wrapping a cube shaped box with a side length of m mm feet.

Answers

Answer:

[tex]C(m)=0.9m^2+0.25[/tex]

Step-by-step explanation:

The surface area of a cube-shaped box with a side of m feet is given by the function:

[tex]S(m)=6m^2[/tex]

The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:

[tex]C ( x ) = 0.15 x + 0.25[/tex]

We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.

In the cost function, C(x), x is the surface area, therefore:

[tex]S(m)=x;$ and$\\C ( S(m) ) = 0.15(6m^2) + 0.25\\C(m)=0.9m^2+0.25[/tex]

To find the cost of wrapping a cube of side length m feet, we use the explicit function:

[tex]C(m)=0.9m^2+0.25[/tex]  

root 3 cosec140° - sec140°=4
prove that

Answers

Answer:

Step-by-step explanation:

We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]

Proof:

From trigonometry identity;

[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]

[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]

From trigonometry, 2sinAcosA = Sin2A

[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

[tex]\frac{4(sin(420-140)) }{sin280}[/tex]

= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]

triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV

Answers

Answer:

TV=6 inch

Step-by-step explanation:

If Triangle JKL is similar to Triangle TUV, the following ratio applies.

[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]

Suppose f(x) = x². Find the graph of f(x - 2)
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4

Answers

Answer:

the answer is graph 1

The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base

Answers

Answer:

[tex]9\; \rm m[/tex].

Step-by-step explanation:

Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with [tex]\rm 12\; m[/tex]. The three labelled lines in this diagram will form a right triangle.

The line marked as [tex]15\; \rm m[/tex] will be the hypotenuse of this right triangle.The line marked as [tex]12\; \rm m[/tex] will be one of the triangle's legs.The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.

Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:

[tex](\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2[/tex].

In this particular right triangle:

[tex](\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2[/tex].

[tex](\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2[/tex].

Therefore, the height of this ridge would be [tex]\sqrt{81}\; \rm m = 9\; \rm m[/tex]. (Note the unit.)

Please help!!!!!! !!!!!!!!!!!!!!!!

Answers

Answer:

Yes

Step-by-step explanation:

Yes because there is only 1 y value per x value.

Answer:

yes

Step-by-step explanation:

There is a one to one correspondence and this will pass the vertical line test

Simplify 18x2y/27xy3z

Answers

Answer: 2/3xy^-2z

Step-by-step explanation:

18/27 = 2/3

x^2 / x = x

y / y^3 = y^-2

z isn’t changed

Put the variables together after dividing and you get 2/3xy^-2z.

Step-by-step explanation:

do you mean like this?

18x²y/27xy³z =

if yes the answer is like this

18/27 = 2/3

x²/x = x

y/y³ = 1/y²

1/z = 1/z

multiply all and that's the answer

⅔ * x * 1/y² * 1/z =

[tex] \frac{2x}{3 {y}^{2} z} [/tex]

I will mark you brainliest! How much money did Nikki orginally invest?

Answers

Answer:D

Step-by-step explanation:

The Answer will be- D

Factor the expression 15x+10 using the GCF.

Help plz ASAP will give brainliest to first who solves!

Answers

Answer:

The greatest common factor is 5.

15x+10=5(3x+2)

Let D be the set of all students at GSU students, and let M(s) be 's is a math major," let C(s) be s is a computer science student," and let E(s) be "s is an engineering student." Express each statement using quantifiers, variables, and the predicates M(s), C(s), and E(s). a. No computer science students are engineering students. b. Some computer science students are also math majoers.

Answers

Answer:

Step-by-step explanation:

Recall the logic quantifiers [tex]\forall, \exists[/tex] which means for all/for every and exists.

a) This means that for every student in D that is a computer science this implies that the student is not an engineering student. So for a student s in D such that C(s) then  E(s) is false. This is symboled by

[tex]\forall s \in D C(s) \implies \neg E(s)[/tex]

b) By saying "some computer science students" this means that there exists some studenst that study computer science and are also math majors. This is symboled by

[tex]\exists s \in D C(s)\land M(s) [/tex]

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