4x + 6 over 2 equals 3x - 15 over 3​

4x + 6 Over 2 Equals 3x - 15 Over 3

Answers

Answer 1

Answer:

x = -8

Step-by-step explanation:

[tex]\dfrac{4x+6}{2}=\dfrac{3x-15}{3}\qquad\text{cross multiply}\\\\3(4x+6)=2(3x-15)\qquad\text{use the distributive property}\\\\(3)(4x)+(3)(6)=(2)(3x)+(2)(-15)\\\\12x+18=6x-30\qquad\text{subtract 18 from both isdes}\\\\12x=6x-48\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8[/tex]

Answer 2

x=-8

Given equation is (4x+6)/2=(3x-15)/3, we need to find x

What is cross multiplication method?

Multiply the numerator of one fraction to the denominator of other and denominator of the first term to the numerator of another term is called Cross Multiplication Method.

Given, (4x+6)/2=(3x-15)/3

Apply cross multiplication method

3(4x+6)=2(3x-15)

12x+18=6x-30

12x-6x=-30-18

6x=-48

Divide both sides by 6

x=-8

Therefore value of x in  (4x+6)/2=(3x-15)/3 is '-8'.

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Related Questions

Which of the following numbers is NOT a Solution of the inequality 6x–5>4x–7?
A)1
B)0
C)-1
D)-2

Answers

Answer:

B

Step-by-step explanation:

Final answer:

The solution to the inequality 6x–5>4x–7 is x > -1. The given numbers that are larger than -1 are 1 and 0, which leaves -1 and -2. From these, -1 is the only given number that is not greater than -1, so it is the number that is not a solution to the inequality.

Explanation:

To begin, let's simplify the given inequality, 6x–5>4x–7. Subtract 4x from each side to isolate x terms on one side, obtaining 2x - 5 > -7. Then, add 5 to both sides to isolate the term with x, obtaining the inequity 2x > -2.

Finally, divide by 2 to find x > -1. So any value greater than -1 would be a solution to the inequality.

Reviewing the options:

A) 1 is a solution because it is greater than -1B) 0 is a solution because it is greater than -1C) -1 is not a solution because it is not greater than -1D) -2 is not a solution because it is not greater than -1

However, according to the question we need to find the number that is not a solution, so the answer is C) -1.

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A function has a maximum value of 12.375 and x-intercepts of 0.41 and 1.84

Answers

Answer:

Step-by-step explanation:

X=1.125 hope this helps!

Preserve
What is this 3 digit number

Answers

100 I don’t really know


−64=6(5n−3)+2(n−7)-64=6(5n-3)+2(n-7)

Answers

Answer:

no solution

Step-by-step explanation:

30n-18+2n-14-64=30n-18+2n-14

32n-96=32n-32

-96=-32<-----false statement, therfore it is no solution

What is the answer to this question? Simplify:

Answers

Answer:

19

Step-by-step explanation:

15-(-36/9)

15 + 4

19

Answer:

11

Step-by-step explanation:

36/-9 can be reduced to -4

15--(-4) is the same as 15+(-4) which is the same as 15-4

15-4=11

Is this the right answer?

Answers

Answer:

It would be -22, not 22%. She is $22 in debt, which is why it is negative.

Solve a Mixture Word Problem
Question
Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a
pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how
many pounds of cereal squares should he use?
Provide your answer below:
lb cereal squares,
Ib nuts
B FEEDBACK
MORE INSTRUCTION
SUBMIT
Content attribution

Answers

Answer: Orlando mixed five pounds of cereal squares and 25 pounds of nuts.

Answer:

5 lbs cereal squares.

25 Ibs nuts.

Step-by-step explanation:

Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.

Total weight of the party mix is 30 pounds.

[tex]x+y=30[/tex]              ..... (1)

It is given that,

Cost of nuts = $7 per pound

Cost of cereal = $4 per pound

The cost of mix = $6.50 per pound.

[tex]7x+4y=6.50\times 30[/tex]

[tex]7x+4y=195[/tex]          ..... (2)

Substitute the value of x in equation (2) from equation (1).

[tex]7(30-y)+4y=195[/tex]

[tex]210-7y+4y=195[/tex]

[tex]-3y=195-210[/tex]

[tex]-3y=-15[/tex]

Divide both sides by -3.

[tex]y=5[/tex]

Substitute y=5 in equation (1).

[tex]x+5=30[/tex]

Subtract both sides by 5.

[tex]x=30-5[/tex]

[tex]x=25[/tex]

Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.

PLEASE HELP!
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). Find the equations of the three medians of triangle ABC

Answers

Answer:

y= -7/6x+6

y= -1/2x+8

x = -3

Step-by-step explanation:

Find the slope of the lines of the triangle. Then you can find the perpendicular  slope of that (the slope of the altitudes) by inversing it and switching the = or - sign. Then you have a point the altitude goes through (one of the vertices) and the slope. Then you can make the equation.

---
Nathaniel started collecting rocks. He started his collection with two rocks on the first day, then four rocks on the second day, then
elght rocks on the third day, and then sixteen rocks on the fourth day.
Assuming this pattern continues, what will be the total size of Nathaniel's rock collection on the 10th day?

Answers

Answer:

Step-by-step explanation:

u keep multiplying see 2*2= 4*4=16*16=256*256=65536*65536= etc

Answer:

plato: 1,024

Step-by-step explanation:

2. On a recent field trip, students paid $15 for
each ticket. If $675 is the total cost, how many
tickets were purchased?
a. Write an equation:
b. What is the constant of proportionality?​

Answers

Answer:

See below.

Step-by-step explanation:

Cost of tickets = number of tickets *  cost of 1 ticket

The number of tickets purchased was  675/15 = 45.

a. C = 15n   .

b. Constant of proportionality is 15.

Answer: $675 + $15 =

Step-by-step explanation:

first add the 5 and 5 together drop the zero carry the one then add 1 and 7 plus 1 which is 9 then add 6 plus zero and ur answer should be 690

If f(x) = х2 – 2x and g(x) = 6х +4, for which vаluе оf x does (f + g)(x) = 0?

Answers

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4

Equating to zero, that is

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ⇒ x = - 2

Answer:

[tex]\boxed{\text{x = -2}}[/tex]

Step-by-step explanation:

ƒ(x) = x² - 2x

g(x) = 6x + 4

(f + g)(x) = x² - 2x + 6x + 4 = x² + 4x + 4  

[tex]\begin{array}{rcr}x^{2} + 4x + 4 & = & 0\\(x + 2)^{2} & = & 0\\x+2 & = & 0\\x & = & \mathbf{-2}\\\end{array}[/tex]

[tex](f + g)(x) = 0 \text{ when } \boxed{\textbf{x = -2}}[/tex]

Check:

[tex]\begin{array}{rcl}(-2)^{2} + 4(-2) + 4 & = & 0\\4 - 8 + 4 & = & 0\\0 & = & 0\\\end{array}[/tex]

OK.

There are 52 weeks in one year. If cindy drew three pictures each week, for 2 years, how many pictures did cindy draw?

Answers

Final answer:

Cindy drew a total of 312 pictures over two years, calculating from three pictures per week for 52 weeks each year, then doubling the result for the two years.

Explanation:

To calculate the total number of pictures Cindy drew over two years, we start by determining the number of pictures she draws each week.

Since Cindy draws three pictures each week, we multiply that number by the number of weeks in one year.

There are 52 weeks in one year.

So, the number of pictures Cindy draws in one year is:

3 pictures/week × 52 weeks/year = 156 pictures/year

Since the question is about a two-year period, we multiply the annual amount of pictures by two:

156 pictures/year × 2 years = 312 pictures

Therefore, Cindy drew a total of 312 pictures over two years.

P=3L-3W solve for L (literal equation)

Answers

P=3L-3W

Move -3W to the other side. Sign changes to +3W

P+3W=3L-3W+3W

P+3W=3L

Divide both sides by 3 to get L by itself

P/3+3W/3=3L/3

Cross out 3 and 3, divide by 3 and then becomes 1*1*W=W

Cross out 3 and 3, divide by 3 and then becomes 1*1*L=L

P/3+W=L

Answer:

L=P/3+W

What is the procedure for solving the equation 1/2x = 16?

a) add 1/2 to both sides of the equation

b) subtract 1/2 from both sides of the equation

c) multiply both sides of the equation by 2

d) multiply both sides of the equation by 1/2

Answers

The correct answer would be:
C. Multiply both sides of the equation by 2


I hope that this helps you!

Find the slope of the line passing through the
points
(-9, 2) and (7,2)

Answers

Answer:

0

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]

I am joyous to assist you anytime.

The glasses that Pierre wants to buy cost $230. If he waits for them to go on sale next week, he can get a 15% discount. How much will he save if he waits?

How much will the glasses cost if he waits?

Answers

Answer:

$34.50 saved

Step-by-step explanation:

230 - 15% = $195.5

230 - 195.5 = 34.5 saved

How are absolute values used to describe quantities ?

Answers

Answer:

Absolute value is a number's distance from 0, so when comparing quantities, such as positive and negative, the greater absolute value is of that number.

For ex:

|-11| > |6| ,  because |-11| = 11, |6| = 6, and 11 > 6.

So, |-11| > |6|

Absolute values are used to describe the distance of any values from the point 0. Hence, absolute values are used to express the positive value a quantity.

Quantities may be positive or negative depending on their relative position from Zero.

Positive values are to the right of Zero; While negative values are to the left of Zero.

Since quantities maintain equal distance either to the left or right of Zero; Absolute values are only concerned with the magnitude of a quantity from Zero and not the direction.

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My math problem is 920÷310 can somebody please help me

Answers

Answer:

2.967741935

Step-by-step explanation:

In a lab, a substance was cooled by 36°C over a period of 9 hours at a constant rate. What was the change in temperature each hour?

Answers

The substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

In this lab scenario, we are given that a substance was cooled by 36°C over a period of 9 hours at a constant rate. Let's denote the change in temperature as ΔT (Delta T) and the time interval as Δt (Delta t) in hours.

To find the change in temperature each hour, we can use the formula for the rate of change of temperature:

ΔT/Δt = Rate of change of temperature

Given that the total change in temperature (ΔT) is 36°C and the total time period (Δt) is 9 hours, we can now plug these values into the formula:

ΔT/Δt = 36°C / 9 hours

Simplifying this, we get:

ΔT/Δt = 4°C/hour

So, the change in temperature each hour, represented as ΔT/Δt, is 4°C. This means that the substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

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a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?

Answers

Answer:

The ratio between won and lost is [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

The question in English is

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

[tex]x=21\ games[/tex]

[tex]y=12\ games[/tex]

we know that

To find the ratio divide the number of games won by the number of games lost

so

[tex]\frac{x}{y}[/tex]

substitute the values

[tex]\frac{21}{12}[/tex]

Simplify

[tex]\frac{7}{4}[/tex]

estimate the square root of 27 over 4 to the nearest 10th

Answers

Answer:

1.3

Step-by-step explanation:

Solve the equation 5x + 7y = 35 for y.

Answers

Answer:

B. [tex]y= 5 - \frac{5}{7} x[/tex]

Step-by-step explanation:

okay, so you are trying to get y alone on one side. The first thing you want to do is try to get 7y alone on one side. You do that my subtracting 5x on both sides. You get 7y = 5x +35

Then you divide 7 on both sides and get y = -5/7x + 5

The equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

The correct option is B.

To solve the equation 5x + 7y = 35 for y, we need to isolate y on one side of the equation.

Let's begin by subtracting 5x from both sides:

5x + 7y - 5x = 35 - 5x

The 5x terms cancel out on the left side, leaving us with:

7y = 35 - 5x

Now, to isolate y, we divide both sides of the equation by 7:

(7y) / 7 = (35 - 5x) / 7

Simplifying further, we have:

y = (35 - 5x) / 7

Therefore, the equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

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How can you solve for x in the proportion 7/8 = x/24?
Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.
Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.
Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

The answer is x=21. You have to do cross multiplication

Answer:

The answer is D

Step-by-step explanation:

Flower: Anthony decides to decorate a ballroom with r= 3n + 20 roses, where n is the number of dancers. It occurs to Anthony that the dancers always come in pairs. That is, n=2p, where p is the number of pairs. What is r as a function of p?

Can anyone explain the process of how to answer this problem?

Answers

Answer:

r= 6p + 20

Step-by-step explanation:

given:

r= 3n + 20

also given that n = 2p

substituting n=2p into the above equation

r= 3n + 20

r= 3(2p) + 20

r= 6p + 20

The U.S. is 3.794 million square miles. Approximately 650,000 square miles are worked for food production. What percent of the U.S. is worked for food production?

Answers

650,000/(3.794x10^6)=17.13%

Final answer:

Approximately 17.12% of the U.S. is worked for food production.

Explanation:

The U.S. is 3.794 million square miles in total. Approximately 650,000 square miles are worked for food production. To find out the percent of the U.S. that is worked for food production, divide the area worked for food production by the total area of the U.S. and then multiply by 100.

Percentage = (Area worked for food production / Total area of the U.S.) x 100

Percentage = (650,000 / 3,794,000) x 100 = 17.12%

Is my student correct?​

Answers

Answer:

Yes

Step-by-step explanation:

There hasn't been a chemical change, rather, just a physical change. All that had happened was a liquid turning into a solid, which doesn't require a change in elements of the liquid itself.

Answer:

YES

Step-by-step explanation:

BECAUSE A CHEMICAL CHANGE STAYS THE SAME AND A PHYSICAL CHANGE CAN GO BACK TO NORMAL

Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT? Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ

Answers

Answer:

m∠QRT = 90°

m∠QRT = m∠SRT

Step-by-step explanation:

Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.

RT is angle T bisector, so angles QTR and STR are congruent.

Consider two triangles QTR and STR. In these triangles:

TR ≅ TR (reflexive property); ∠QTR ≅ ∠STR (given);QT ≅ ST (given).

By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so

QR ≅ SR ∠QRT ≅ ∠SRT

Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to [tex]\frac{1}{2}\cdot 180^{\circ}=90^{\circ}[/tex]

So, true options are

m∠QRT = 90°

m∠QRT = m∠SRT

Answer:

The correct options are;

m[tex]\angle[/tex]QRT [tex]=90^o[/tex]

m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT

Step-by-step explanation:

Given information;

The triangle QST is isosceles with QT ≅ ST.

The angle STR ans RTQ are congruent.

Now, consider two triangles QTR and STR

In the following triangle

1. TR  ≅  TR (having reflective property)

2. [tex]\angle[/tex]QTR ≅ [tex]\angle[/tex]STR (as given in question)

3. QT ≅ ST (as given in information)

Now, according to SAS postulate , two congruent triangle have congruent corresponding to their sides ,

Hence ,

1. QR ≅ SR

2. [tex]\angle[/tex]QRT ≅ [tex]\angle[/tex]SRT

Since, this above two angles are congruent they will have same measure

That will be

[tex]=(180/2)\\=90 ^o[/tex]

Hence, The correct options are;

m[tex]\angle[/tex]QRT [tex]=90^o[/tex]

m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT

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What is 2/28=7/8 cross multiplied

Answers

Answer:

see the explanation

Step-by-step explanation:

we have

[tex]\frac{2}{28}=\frac{7}{8}[/tex]

we know that

To cross multiply, start by multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction.

2(8)

Then, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.

7(28)

Next, set the 2 products equal to each other.

2(8)=7(28)

-23=5+ 4x what does x equals?

Answers

Answer:

x = -7

Step-by-step explanation:

- 23 = 5 + 4x

- 5   = - 5

- 28 = 4x

/4     = /4

- 7 = x

Answer: x= -7

Step-by-step explanation:

you basically add 5 with 5 and they cancel out

You add 5 to -23 and get -28=4x and divide 4x and -28 which gets your answer

What is x minus 1???

Answers

Answer:

N/A

p-by-step explanation:

x minus 1 is already a simplified expression (can only be solved if you know x)

Depends on the x actually but usually x maybe
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Outdoor Experiences, Inc. sells a tent that collapses down into a roll that is as big as a roll of toilet paper. The tent can be easily carried in a backpack. The tent has been in the market for two years, and the compnay is spending a lot on advertising to stimulate selective demand. The tent is in which stage of the product life cycle? PLEASE ANSWER ASAP!!Read the passage and answer the questions."Everyday Things"Often, we do not scrutinize the little things that make our lives easier. We do not really recognize the value of the simple luxuries we enjoy today. When was the last time you thought about how much easier your life is because of . . . the wooden pencil in your hand? Living in a land of plenty like America makes us easy prey for ingratitude. We should show some appreciation for the little everyday things, like wooden pencils, that make written communication easier.The wooden pencil first dates back to 17th century Europe. The first wooden pencils were eraserless. Imagine the anxiety of making mistakes! It was not until the American Civil War years that erasers were added to wooden pencils. Lead pencils date back to early Roman times, when Romans wrote with lead styluses. We still call them "lead" pencils, but actually, what is inside the modernday pencil is graphite. Early pencils were merely long sticks of graphite inserted into wooden sticks that had been hollowed out by hand. Pencils were not massproduced until 1662 in Nuremberg, Germany. In 1762, George Washington used a threeinch pencil to survey the Ohio Territory. In 1812, William Monroe, a cabinetmaker of Concord, Massachusetts, began to massproduce wooden pencils in America.Even the color of the pencil today is significant. In the 19th century, China was renowned for producing the best graphite in the world. Pencil makers in the U.S. wanted to convey to consumers that they only used Chinese graphite. Therefore, they painted them yellow, a color the Chinese associate with respect and royalty. This way, American manufacturers let their buyers know that they used Chinese graphite exclusively. It is amazing how such a tradition has a profound effect on something as mundane, yet important, as pencil production. Seventyfive percent of all pencils produced in America today are yellow. Now that you know the history of that little, yellowpainted graphite stick in your hand, remind yourself once in a while to be thankful for the everyday things that people so long ago did without.Microwave OvensI never thought about my microwave oven until it stopped working one day. I pressed start and then a strange silence, not a steady, busy hum, ensued. It was an essential part of my 20minute lunch period until the day it retired unannounced. For a week, I battled with messy saucepans and sticky wooden spoons to heat my lunch each day. When I finally bought a new microwave, I vowed never to take for granted this great convenience of modern life.Part A:In the section titled "Microwave Ovens," what made the microwave oven such an "essential part" of the author's lunch period?Group of answer choicesThe author had only a short lunch period, and it was difficult to clean up dishes after heating lunch using saucepans.The meals made for microwaves came pre-packaged, making it easy to consume in a short amount of time.The microwave had settings that were perfect for reheating leftovers the author brought to work from home.The microwave cooked things much faster than the traditional toaster oven that it had replaced.Which statement from the passage BEST supports the response in Part A?I never thought about my microwave oven until it stopped working one day.I pressed start and then a strange silence, not a steady, busy hum, ensued.For a week, I battled with messy saucepans and sticky wooden spoons to heat my lunch each day.When I finally bought a new microwave, I vowed never to take for granted this great convenience of modern life.\\\ Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. 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