Solve The Two Equations for x.

Solve The Two Equations For X.

Answers

Answer 1

Answer:

x = 7, x = 5

Step-by-step explanation:

[tex]\frac{3x+3}{8}[/tex] = 2x - 11 ( multiply both sides by 8 to clear the fraction )

3x + 3 = 16x - 88 ( subtract 3x from both sides )

3 = 13x - 88 ( add 88 to both sides )

91 = 13x ( divide both sides by 13 )

7 = x

--------------------------------------------------------------

[tex]\frac{4x-6}{7}[/tex] = 2 ( multiply both sides by 7 )

4x - 6 = 14 ( add 6 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Answer 2

3x + 3 / 8 = 2x - 11

Multiply both sides by 8

8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )

3x + 3 = 16x - 88

Add both sides 88

3x + 3 + 88 = 16x - 88 + 88

3x + 91 = 16x

Subtract both sides 3x

3x - 3x + 91 = 16x - 3x

91 = 13x

Divide both sides by 13

91 ÷ 13 = 13x ÷ 13

7 = x

x = 7

_________________________________

4x - 6 / 7 = 2

Multiply both sides by 7

( 4x - 6 / 7 ) × 7 = 2 × 7

4x - 6 = 14

Add both sides 6

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides by 4

4x ÷ 4 = 20 ÷ 4

x = 5


Related Questions

triangle ABC has A(1,2), B(3,1), and C(2,4). it is reflected across the x-axis and then across the y-axis. which point is in the resulting image

Answers

What subject is this if this is math I am good at it

Find the surface area of the following shape

Answers

Answer:

148cm will be the answer

Step-by-step explanation:

It's a cuboid

L=6cmB=4cmH=5cm

[tex] \boxed{ \sf \: tsa = 2(lb + bh + lh)} \\ \rm \mapsto \: 2(6 \times 4 + 4 \times 5 + 6 \times 5) \\ \rm \mapsto \: 2(24 + 20 + 30) \\ \rm \mapsto \: 2(74) \\ \rm \mapsto \: 148[/tex]

Find x if the average of 20, 15, 13, 17, and x is 18.

Answers

Answer:

5

Step-by-step explanation:

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Answers

Answer: I believe the answer is D

Step-by-step explanation:

Answer:

B. Number of days she trains

Mr. Meyer is planning a sixth-grade field trip to Washington DC. He divides his students evenly between 9 chaperones will lead a group of 8 students. If S represents the total number of students going on the field trip with equation models the problem?

A. 8s = 9
Or
B. s/9 =8

Answers

I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72

Hope this helps answer some questions that you may have had.

Market price of an article is 30% above its purchase price.If the shopkeeper sold it by allowing 15% discount,then (i) Calculate the market price and profit amount if the shopkeeper paid 2500 for the article​.
solution by step:

Answers

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

What exactly is profit?

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

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x + 6 = 4

what is x ??

Answers

Answer:

x= (-2)

Step-by-step explanation:

brainliest?

what is 5/11 as a decimal

Answers

5/11 as a decimal is 0.45 and it just repeats

what operation do we use 2/5 of 100? what operation is involved when you use the word of here?

Answers

Answer:

multiply

Step-by-step explanation:

2/5of 100 === 2/5 × 100

Answer =40

Answer:

multiplication

Step-by-step explanation:

the word of means to multiply, so it would be multiplication

the equation written out would look like:

[tex]\frac{2}{5}*100[/tex]

3. Find the surface area of the square pyramid.

Answers

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

Each of 6 students reported the number of movies they saw in the past year. Here is what they reported.
8,6,8,5,4,6
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]

Step-by-step explanation:

We are given this data and asked to find the data.

8, 7, 8, 5, 4, 6

The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.

[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]

First, we calculate the sum of the terms. Add up all the numbers.

sum= 8+7+8+5+4+6 sum= 38

[tex]mean=\frac{38}{number \ of \ terms}[/tex]

Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).

[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]

Let's round to the nearest tenth.

6.33333333333

The 3 in the hundredth place tells us to leave the 3 in the tenth place.

[tex]mean \approx 6.3[/tex]

The mean number of movies the students saw is approximately 6.3

Step-by-step explanation:

Terms are

8,6,8,5,4,6

[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]

[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]

[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]

Cloe Dow purchased a hot tub for $5,000. She made a 50 percent down
payment and financed the remainder. What amount did she finance?

Answers

Answer:

She financed $2500

Step-by-step explanation:

If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps

solve the equation for x

Answers

Answer:

1/4x=8 which also equals 32

Step-by-step explanation:

12-4=8

5/8-3/8=2/8=1/4

1/4x=8   then you would multiple each side by 4 to cancel out and 4*8=32

32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.

Answers

Answer: = 16

Step-by-step explanation: Hope this help :D

Determine the value of x.
Question 9 options:

A)

2

B)

2

C)



D)

4

Answers

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

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Is the following sequence arithmetic?
23, -7, -37, -67, …..

Answers

Answer:

No it's not an Arithmetic Sequence since it doesn't have a constant common ratio

Hope this helps!

What is the answer to this question?

Answers

Answer:

Step-by-step explanation:

Hello!

2*2* 5+ 2*2*4 =  

20 + 16 = 36 cm³

Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?

Answers

Answer:

(a) The expected value is: $0.40625

(b) The expected value is: $0.4286

Step-by-step explanation:

Solving (a): Raffle 1

Given

[tex]Tickets=800[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$450[/tex] ---- for 1

[tex]Consolation = \$100[/tex] --- for 2

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 800 * \$2[/tex]

[tex]A_1 = \$1600[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]

[tex]A_2 = \$450 +\$200[/tex]

[tex]A_2 = \$650[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$650}{\$1600}[/tex]

[tex]E(x) = \$0.40625[/tex]

Solving (b): Raffle 2

Given

[tex]Tickets=350[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$150[/tex] ---- for 1

[tex]Consolation = \$50[/tex] --- for 3

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 350 * \$2[/tex]

[tex]A_1 = \$700[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]

[tex]A_2 = \$150 +\$150[/tex]

[tex]A_2 = \$300[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$300}{\$700}[/tex]

[tex]E(x) = \$0.4286[/tex]

what percent of 20 is 3

Answers

Answer:

15

Step-by-step explanation:

Answer:

Esto es igual a igual a 0,6% m

Step-by-step explanation:

3÷100•20

I need to ask u two question for my Statistics Project. This is more of a survey.

Answers

Alrightyyyy same I need to ask a question but I gotta awnser some
Ok I can do that :))))

Help! Please anyone. I need help!

Answers

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

What is the value of S4 for infinity sigma n=1 10(0.2)^n-1

A. 2.48
B. 12.48
C. 16
D. 24

Answers

Answer:

The answer is B. 12.48.  I hope you have an amazing day <3

Step-by-step explanation:

Answer:

The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48

Step-by-step explanation:

Summation

summation is the addition of a sequence of any kind of numbers

Here we need to find the summation of first four terms.

so ,

S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex]  = 0.08

S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4

S₂ = 10 ×  [tex]( 0.2 )^{2-1}[/tex] = 2

S₁ = 10  ×  [tex]( 0.2 )^{1-1}[/tex] = 10

Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48

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write in standard rorma
y =2/3x-6

Answers

Answer:

-2/3x+y=6

Step-by-step explanation:

Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.

A line passes through the point (0,5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?

A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2x + 5

thank you !!:) <3

Answers

Answer: i think it’s D

Step-by-step explanation:

What is the circumference of this circle? Use 3.14 for pie

Answers

Answer:

37.68

Step-by-step explanation:

C=3.14 x 12

The formula for the circumference of a circle is:
c = 2(3.14) r

The image shown provided the diameter. Half of the diameter is the radius so:
12/2 = 6

r = 6

c = 2(3.14) 6

c = 37.68

7 times as much as 1/3 and 4/5

Answers

Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D



Item 5 is unpinned. Click to pin.

Using the trend line equation, what is the predicted approximate value of y when x= 4.5?




5.12

3.98

3.47

2.75

Answers

Answer:

I think the answer is 3.47

Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=

Answers

Answer:

supplementary

x = 146 degrees

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

3rd retry of this question! Please stop using bots to put in links as your answers!!! Please help me with this question! Thanks in advance!

Darius makes a shirt for $8. He sells the shirt for $18. By what percentage did Darius increase the cost of the shirt?

Answers

Answer:

He increased it by 225%

Step-by-step explanation:

18/8=2.25 and that into a percent is 225%

The side length of a square is √27
inches. What is the area of the square?
...............

Answers

Answer:

27

Step-by-step explanation:

To find the are of a square, raise the side length to the power of two (or square it). [tex]\sqrt{27} *\sqrt{27}[/tex] is simply equal to 27.

I hope this helped!

The area of the square is 27 inch².

What is Area?

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.

We have side of square is √27 inches.

So, the Area of Square

= side x side

= √27 x √27

= 27 inches²

Thus, the Required Area is 27 inch².

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