if y=6x+8 and y=-4x-2,what is the value of x+y when the two equations are equal?

Answers

Answer 1
6x+8=-4x-2
10x=-10 /:10
x=-1
y=-6*(-1)+8
y=-6+8
y=2
Answer 2
Greetings!

Answer:

x + y = 1

Step-by-step explanation:

If the two equations are the same, then it can be shown by this:

6x + 8 = -4x - 2

We need to isolate the x values, so we need to move the -4x over to the other side making it a +4x:

6x + 4x + 8 = -2

Next, move the +8 over to the other side making it a -8:

6x + 4x = -2 - 8

10x = -10

x = -1

So now we can plug this value into the first equation:

6(-1) + 8 = y

-6 + 8 = y

y = 2

x + y = -1 + 2 = 1

So x + y = 1


Hope this helps!

Related Questions

I need help with number 14 please

Answers

3/4 of the pets were not cats
So what you need to do is make the denominator the same for all the fractions.

1/6 1/8 1/8 1/3

6, 3, and 8 all go evenly into 24 so...

you would change 1/6 to 4/24

you would change both 1/8 to 3/24

lastly you would change 1/3 to 8/24

Now the last step is to add all the fractions...

4/24+3/24+3/24+8/24=18/24

Jim earns $140 during the summer doing chores. He bought 2 sets of pens worth $25 each using his chore money. How much money was left after he bought the pen sets?

A.) $58

B.)$90

C.)$190

D.)$255

Answers

Answer:

B) $90!

I hope this helped :D

Answer:

90 is the answer

Step-by-step explanation:

90+50=140

140-50=90

There are 3.79 L in every gallon how many liters of gas does a 13.6 gallon tank hold

Answers

Answer:

51.544 L  in our tank

Step-by-step explanation:

We have a 13.6 gallon tank

Our conversion factor is 3.79 L = 1 gallon.  We want liters on top since that is where we want to end up

3.79 L /1 gallon is what we want to use

13.6 * 3.79L/1 gallon = 51.544 L  in our tank

Luz reads for 1/4 hours every night. After 8 nights, how much total time has she been reading?

Answers

Answer:

2 hours

Step-by-step explanation:

To find out how much she has read, we multiply the number of nights by how much read per night

time read = 8 nights * 1/4 hours per night

time read = 8/4 hours

time read = 2 hours

Answer: 2 weeks?


Step-by-step explanation: 1/4 x 8= 2


What is the diameter of a circle that has a circumference of 56.52 feet? Round your answere to the nearest whole number

Answers

Circumference = 2pi * radius
Diameter = 2 * radius

Circumference = pi * diameter

56.52 = pi * diameter
56.52/pi = (pi * diameter)/pi

18 = diameter

Answer:

18 = diameter

Step-by-step explanation:

Solve for x

3x-xy=4z-5y

Is it no solutionn????

From algebra1

HELP PLZZZZZZ

Answers

Answer:

x = (4z -y)/(3 – y); y ≠ 3

Step-by-step explanation:

3x – xy = 4z - 5y     Factor

  x(3-y) = 4z - y        Divide each side by 3-y

        x = (4z -y)/(3 – y); y ≠ 3

x is undefined when y = 3, so we must include the condition that y ≠ 3.

What is median of this histogram

Answers

Answer: You take the 2 middle columns in this case the purple gray looking one and the brown one and add them together divide them by 2


Step-by-step explanation:


What is the coefficient of the fourth term in the expression? 5 − 10x + 15y − 20xy


A) −
B) 20
C) −20
D) −20xy

Answers

The answer is C. -20

Answer:

C

Step-by-step explanation:

the coefficient of a term is the numeric value including the sign in front of the variable/ s

the fourth term in the expression is - 20xy

The coefficient of this term is - 20 → C


Please help I don’t know how to do this at all!

Answers

Answer:

16 times the square root of 6

Step-by-step explanation:

2 radical54 simplifies:

2(radical6 x radical9), which is 6 radical6

and 5 radical24 simplifies:

5(radical6 x radical4), which is 10 radical6,

10 radical6 + 6 radical6=

16 radical6

a 33 m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36m Find the length of the shadow

Answers

Answer:

14.39

Step-by-step explanation:

a^2 + b^2 = c^2

33^2 + b^2 = 36^2

1089 + b^2 = 1296

1089 - 1089 + b^2 = 1296 - 1089

b^2 = 207

b = 14.39

3+2(2p+4t) some one plz HELP ME.

Answers

Answer:

3+4p+8t

Step-by-step explanation:

We have been given an expression:

3+2(2p+4t)

We will simplify the equation:

Firstly, we will open the parenthesis by multiplying it with the 2 given outside of the parenthesis we get:

3+4p+8t

Since, we have two variables so it can not be further solved therefore,

This is the maximum simplification of the given expression.


Look at the table below showing an example of a checkbook ledger. Adrienne has several receipts from recent transactions that she entered in her records. The receipts include an ATM receipt for a $60.00 withdrawal (plus a $2.00 transaction fee), a grocery store receipt for $32.50, and a $1,200 paycheck deposit slip. When she finishes entering her transactions, Adrienne realizes that her balance is incorrect. Assuming that Adrienne’s beginning account balance was $320.00, why is her balance incorrect?

Answers


I think it's "Adrienne did not enter her ATM withdrawal correctly"


Answer:

" Adrienne did not enter her ATM withdrawal correctly."

D.

Step-by-step explanation: <3

What is the value of cos 0 given that (-2,9) is a point on the terminal side of 0?

Answers

Answer:

The value of cos 0 = - 2 sqrt(85) /  85 = - 0.216930458

Step-by-step explanation:

cos 0 = ?

Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9

cos 0 = x/r


r=sqrt(x^2+y^2)

Replacing the known values:

r=sqrt( (-2)^2+(9)^2)

r=sqrt(4+81)

r=sqrt(85)


cos 0 = x/r

cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458


Rationalizing:

cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]

cos 0 = - 2 sqrt(85) /  [sqrt(85)]^2

cos 0 = - 2 sqrt(85) /  85






a ferris wheel can accumulate 75 people in 30 minutes how many people could ride the ferris wheel in 4 hours what was that rate per hour

Answers

Answer:

600 people

Step-by-step explanation:

We can use ratios to solve this problem.

Change the 30 minutes in to hours

30 minutes = .5 hours


75 people               x people

---------------- = -----------------------

.5 hours                    4 hours


Using cross products

75*4 = .5 *x

300 = .5x

Divide each side by .5

300/.5 = .5x/.5

600 =x

Emma,brandy,and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the 3 ropes will be the same length.Write a division sentence using compatible numbers to estimate the length of each rope

Answers

Answer:

30 ÷ 3 = 10 ft each


hope it helps :)))

Step-by-step explanation:

29.8 you can estimate it to 30

so you would divide 30 ÷ 3 = 10

Given f(x)=5x+5, find f(-4)

Answers

f(-4) This means that x is -4, so you can plug in -4 for "x" in the equation


f(x) = 5x + 5

f(-4) = 5(-4) + 5

f(-4) = -20 + 5

f(-4) = -15

The cost of a car rental is twenty-five dollars a day plus ten cents a mile. What is the total cost, in dollars, if the car is rented for three days and driven a total of six hundred and sixty miles? A) 86 B) 91 C) 97 D) 141

Answers

Answer:

The total cost is D) $141

Step-by-step explanation:

To solve we can use the equation: [tex]y=25d+0.10m[/tex]

d= number of days  m= number of miles

We know both of these values so we can plug them in and solve.

y= 25(3) + 0.10(660)

y= 75 + 66

y = 141

Layla and Carson work at the same store. Last week, Layla worked 8.75 hours, which was 25% of the amount of the time that Carson worked. How many hours did Carson work last week

Answers

Divide 8.75 by 35 and multiply the result by 100 to get 25 hours.


Which inequality is represented by the number line graph?
A) x > -6
B) x < -6
C) x ≥ -6
D) x ≤ -6

Answers

The correct answer is option (D).

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The graph shows an open circle at -6,

which implies that -6 is not a solution to the inequality.

The shaded arrow on all values shows that values are smaller than -6 and  x < -6 is the inequality that represented on the line graph.

The required inequality is x < -6.

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What is the value of arcsin (0) in degrees

Answers

arcsin 0 asks for the angle whose sin is 0.
That angle is 0 - sin(0) = 0

Answer:

0

Step-by-step explanation:

full answer guide attached

Someone please help!!!!!

I'm bad at math!!!

(5b - 9) - 3(8 - 2b)

Also, could you give me tips on how to solve these kind of problems?

Thanks.

- A Math Disaster

Answers

1. distribute the -3
(5b-9)(-24+6b)
and then the rest depends on what you are looking for

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on a certain object, the acceleration of the object is 6 /ms2 . If the acceleration of the object becomes 5 /ms2 , what is the force?

Answers

Answer: [tex]F=15N[/tex]


Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

[tex]F=ka[/tex]

Where [tex]F[/tex] is the force acting on the object, [tex]a[/tex] is the object's acceleration and [tex]k[/tex] is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting [tex]F=18[/tex] and [tex]a=6[/tex] into the equation and solving for [tex]k[/tex]:

[tex]18=k6\\k=\frac{18}{6}\\k=3[/tex]

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

[tex]F=3(5)\\F=15[/tex]

3. The result is:

[tex]F=15N[/tex]

The acceleration that an objects gains is given by the mass of the object.

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

[tex]Mass, \, m = \dfrac{F}{a}[/tex]

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

[tex]Mass \ of \ the \ object, \, m = \dfrac{18 \, N}{6 \ m/s^2} = 3 \, kg[/tex]

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

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what is the name of the angle formed by the rays please show the work

Answers

Answer:

∠RQP

Step-by-step explanation:


I think its vertical angles. Remember that the definition of vertical angles are angles that are opposite of each other and have the same angle measures. u can usually tell these angles exist when it forms an x like the one in the picture.

or it may just be angle rqp and it's just me reading to much into it

Which equation represents the following word sentence? The opposite of g times the quantity 2 plus 5.

Answers

Answer:

-g * (2+5)

Step-by-step explanation:

The opposite of g times the quantity 2 plus 5

Opposite means put a negative sign

times means multiply

Quantity means parenthesis

plus means addition

-g * (2+5)

Final answer:

The problem 'The opposite of g times the quantity 2 plus 5' translates into the mathematical equation -g*(2+5) or -g*7 in which g is multiplied by 7, and the result is negated.

Explanation:

The word sentence 'The opposite of g times the quantity 2 plus 5' can be represented by the equation -g*(2+5) or -g*7, where * denotes multiplication, + denotes addition, and - denotes opposite or negation. Therefore, the interpretation of the sentence is 'multiply g by 7 and then take the opposite or negative of the result'. The use of parentheses ( ) in the equation ensures we first perform the addition within, according to the order of operations in math, most commonly known as BIDMAS/BODMAS or PEMDAS rules.

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What is 341/1000 in words

Answers

Three-forty one over one thousand XD

Denise’s rock sample weighs 684 grams Pauline’s rock sample weighs 29,510 centimeters how much heavier is Denise’s sample than Pauline’s

Answers

Answerenise's rock sample has  

38

,

890

centigrams more mass than that of Pauline

:


Step-by-step explanation:


Will give lots of points/write a rule to describe each transformation

Answers

Step-by-step explanation:

What number(s)?


Evaluate (precalculus)

Answers

Answer:

Option 4 which is 1,430.

Step-by-step explanation:

Step 1

In this this step we will break up the terms in the summation symbol using the rules for manipulation summations.

[tex]\sum_{i=1}^{n}(aX^2_i+k)=\sum_{i=1}^{n}(aX)+\sum_{i=1}^{n}k\\\\\sum_{i=1}^{n}(aX^2_i+k)=a\sum_{i=1}^{n}X^2+nk.[/tex]

This means that for our case, the sum can be simplified to be,

[tex]\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2+11\times(-8)\\\\\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2-88[/tex]

Step 2

In this step we use the formula for the sum of the first n squares to evaluate the first part of the sum in step 2. The formula for the sum of the first n squares is,

[tex]\sum_{i=1}^{n}n^2=\frac{n(n+1)(2n+1)}{6} \\\\\implies\sum_{i=1}^{11}i^2=\frac{11(11+1)(2\times 11+1)}{6} =506[/tex]

Step 3

In this step we use the result from step 1 to evaluate the sum.[tex]3\sum_{i=1}^{11}i^2-88=3(506)-88=1,430.[/tex]

The correct answer is Option 4,which is  1,430.



Answer:

[tex]\boxed{\boxed{\sum_{i=1}^{11}(3i^2-8)=1430}}[/tex]

Step-by-step explanation:

The given expression is,

[tex]\sum_{i=1}^{11}(3i^2-8)[/tex]

[tex]=\sum_{i=1}^{11}(3i^2)-\sum_{i=1}^{11}(8)[/tex]

[tex]=3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)[/tex]

we know that,

[tex]\sum_{i=1}^{n}i^2=\dfrac{n(n+1)(2n+1)}{6}[/tex] and

[tex]\sum_{i=1}^{n}c=cn,\text{ Where c is a constant}[/tex]

Hence,

[tex]3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)=3\left(\dfrac{11(11+1)(2(11)+1)}{6}\right)-8(11)[/tex]

[tex]=3\left(\dfrac{11(12)(23)}{6}\right)-8(11)[/tex]

[tex]=3\left(506}\right)-8(11)[/tex]

[tex]=1518-88[/tex]

[tex]=1430[/tex]

The angle bisector of a triangle divides the triangle into two similar triangles
-always
-sometimes
-never

Answers

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

Triangle

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

Angle bisector of the triangle.

To find

The angle bisector of a triangle divides the triangle into two similar triangles always, sometimes, or never.

How to show the condition?

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

More about the triangle link is given below.

https://brainly.com/question/25813512

The angle bisector divides a triangle into two similar triangles Option B) sometimes, specifically when the triangle is isosceles.

1. Isosceles Triangle: In an isosceles triangle, two sides are equal in length. When the angle bisector of the vertex angle is drawn, it also bisects the base, creating two congruent triangles (by the Angle Bisector Theorem). Congruent triangles are always similar, so in this case, the statement holds true.

2. Scalene Triangle: In a scalene triangle, none of the sides are equal. When you draw the angle bisector of one of the angles, it won't necessarily bisect any other side into two equal lengths. Hence, the resulting triangles formed by the angle bisector won't necessarily be similar.

So, the angle bisector divides the triangle into two similar triangles sometimes (when it's an isosceles triangle) but not always (when it's a scalene triangle).

at a farmers market two vendors sell fresh milk. one vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. which is the better deal?

Answers

Answer:

The second dealer is better.

Step-by-step explanation:

To figure this out we need to divide the price by the amount of milk. Lets do both at the same time.

3.8/2=   2.7/1.5=

3.8/2=1.9   2.7/1.5=1.8

The second dealer is better.

Price per unit is the cost of the sing unit or measure of goods or the service provided.The second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.

Given information-

First vendor sells 2 liters for $3.80.

Second vendor sells 1.5 liters for $2.70.

What is price per unit?

Price per unit is the cost of the sing unit or measure of goods or the service provided.

Price per unit helps to compare the two product with there cost. The less will be the price per unit of a product the product will be more cheaper.

Price per unit is the ratio of the total cost to the number of units.

The vendor which provide more milk in less rate will be the better deal.

As first vendor sells 2 liters for $3.80. Thus the price of milk per liter is,

[tex]P_1=\dfrac{3.80}{2} \\P_1=1.90[/tex]

Hence the first vendor sells the 1 liter milk in $1.90.

As Second vendor sells 1.5 liters for $2.70. Thus the price of milk per liter is,

[tex]P_2=\dfrac{2.70}{1.5} \\P_2=1.80[/tex]

Hence the second vendor sells the 1 liter milk in $1.80.

Hence the second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.

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