Define the Variable, state the equation and solve for unknown

One-fourth the sum of twice a number and 7 is the same as the product of 3 and a number.

Give the right answer or I will report you :)

Answers

Answer 1

Answer:

0.7

Step-by-step explanation:

Use the parameter (x) to express the unknown quantity. Now express the given information as an equation.

[tex]\frac{1}{4}(2x+7)=3x[/tex]

Inverse operations,

[tex]2x+7=12x[/tex]

[tex]7=10x[/tex]

[tex]x=0.7[/tex]


Related Questions

Complete the table of values for y = 2x + 3

Answers

Answer:

you submit the numbers where the is x the numbers on top

check the solutions

The complete table is shown in attached figure.

The graph of y = 2x + 3 is shown in attached figure.

What is linear expression?

A linear expression is an algebraic statement where each term is either  constant or variable raised to the first power.

Given that;

The equation is y = 2x + 3

Now, For Complete the table we can calculate as;

For first column;

The value of x = -2

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × -2 + 3

y = -4 + 3

y = -1

Thus, For first column of table;

x = -2 and y = -1

And, For third column;

The value of x = 0

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × 0 + 3

y = 0 + 3

y = 3

Thus, For third column of table;

x = 0 and y = 3

And, For fourth column;

The value of x = 1

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × 1 + 3

y = 2 + 3

y = 5

Thus, For fourth column of table;

x = 1 and y = 5

And, For sixth column;

The value of x = 3

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × 3 + 3

y = 6 + 3

y = 9

Thus, For sixth column of table;

x = 3 and y = 9

Thus, The complete table is shown in attached figure.

The graph of y = 2x + 3 is shown in attached figure.

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What is the radius of
this cylinder if the
volume is 75.4 in^3 and
the height is 6 inches

Answers

Answer:

Radius of cylinder = 2 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 75.4 in³

Height of cylinder = 6 inches

Find;

Radius of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (3.14)r²(6)

75.4 = (18.84)r²

(Radius of cylinder )² = 75.4 / 18.84

(Radius of cylinder )² = 4.002123

(Radius of cylinder) = 2

Radius of cylinder = 2 inch (Approx.)

Please help me solve this question

Answers

gauthmath told me the answer is 78

5(9-x)/3 +1 less than 11
find x​

Answers

Answer:

x > [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5(9-x)}{3+1}<11[/tex]

Add 3 and 1 to get 4.

[tex]\frac{5(9-x)}{4}<11[/tex]

Use the distributive property to multiply 5 by 9−x.

[tex]\frac{45-5x}{4}<11[/tex]

Subtract  45/5 from both sides.

[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

[tex]x>\frac{-(-4)}{4 x 5}[/tex]

[tex]x>\frac{1}{5}[/tex]

Help please!!! This is my last question

Answers

Answer:

c. 203

Step-by-step explanation:

The formula is A + [tex]\frac{1}{2}[/tex] p(s)

A=area of base

p=perimeter of base

s=slant height

So plug in the numbers:  49 + [tex]\frac{1}{2}[/tex] 28(11) and solve.

The sum of and 7x2 is 10x2.

Answers

Answer:

[tex]3x^2[/tex]

Step-by-step explanation:

Then add the value that you carried above the tens place. For example, for 96 x 8, multiply 8 and 9 to get 72. Then add the 4 that you carried to get 76. This will give you a final answer of 768.

Use the distributive property to wrtie the following expression 5 (x +Y)

Answers

f venturi jude’s cans can

Answer:

5x+5y

hope this helps

have a good day :)

Step-by-step explanation:

Which value is a solution of 7/4x^2-2=-0.5+4?

Answers

Answer:

x=√154 over 7 , −√154 over 7

Step-by-step explanation:

Answer:

the answer is that x=positive or negative square root of 22 over square root of 7

Step-by-step explanation:

Kiera's dance class starts at 4:30pm and ends at 6:15 pm how long is her dance class

Answers

Kiera's dance class is 1 hour and 45 minutes long (1:45)

An object is thrown straight up from the top of a building 150 feet tall with an initial velocity of 12 feet per second. The height of the object as a function of time can be modeled by the function y = –16x2 +12x + 150, where y is the height of the object (in feet) and x is the time in seconds after it is thrown.

Answers

Answer:

will this work or help ?

Step-by-step explanation:

The given equation governs the height versus time of the object. h(0) = 64, so the ground is considered at h = 0. The question is at what time is h = 0? So, set h = 0 and solve for t.

-16t^2 + 48t + 64 = 0

We can divide both sides of this equation by -16 for simpler numbers. We get

t^2 - 3t - 4 = 0

We can factor this equation:

(t - 4)(t + 1) = 0

So, t = 4 and t = -1 are solutions.

But, time must be positive, so t = -1 makes no sense, so we discard it. This leaves

 

t = 4 sec.

Which is an equation for the circle with center (-3 , 1) with a radius of 3?

A. (x−3) 2+(y+1) 2=3

B. (x+3) 2+(y−1) 2=3

C. (x+3) 2+(y−1) 2=9

D. (x−3) 2+(y+1) 2=9

Answers

Answer:

The answer is c mate .

Step-by-step explanation:

Have a good time and if you find it useful . please rate brainliest . If not Thanks anyway .

Natalie paid $20.7 for 3 small pizzas and a salad which was $3.

Answers

20.70=3p+3
17.70=3p
$5.90=p
So if you only needed the equation to describe the word problem it is
$20.70=3p+3

If you want to know how much each pizza was it is $5.90; salad $3.00

There is a 40% chance that part of your summer this year will be spent on vacation. If there are 85 days of summer vacation, how many days will you be on vacation?

Answers

32 days will be spent on vacation

Multiple Choice Find
the value of x.
A 5 B 215
C 52 D 1
10

Answers

Answer:

5 x Square root:2

Step-by-step explanation:

31, 680 divided by 45 I'm so confused​

Answers

Answer:

704

Step-by-step explanation:

calculator

Answer:

31, 680 ÷ 45 = 704

Step-by-step explanation:

Why?

Slowly divide them and its better to use long method :-)

HOPE IT HELPS

(FROM CROSS)

Find the length of the third side of each triangle - Find Hypotenuse

Answers

Answer:

First one 28

Second one 53

Step-by-step explanation:

Using pythagoras theorem

Sqrt(24^2+7^2)=28

sqrt(45^2+28^2)=53

What is the remainder when 26 – 4x4 + 4x2 – 10 is divided by x + 3?
Write only the number for the solution.

Answers

the answer is a,I took the test on edu

Please help me with this question

Answers

Answer:

B  160 ft^2

Step-by-step explanation:

Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2

6th grade, the problem solving is on the image, Thank you

Answers

Answer:

y=x+3

Step-by-step explanation:

when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b

y is the y value

m is the slope (change in y divided by change in x or, rise over run)

x is the x value

b is the y intercept (the y value where the line will touch the y axis/vertical line)

to make the equation

y=mx+b

y and x are variables so you dont need to write them

the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)

between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1

=1

when the slope is 1 you get

y=1x+b which is just y=x+b

then the y intercept

the first dot is touching the y axis line and it's y value is 3

y=x+3

hope this helps

help me please thank you

Answers

Answer:

m<A = 98.25

m<B = 81.75

m<C = 113

m<D = 113

m<E = 67

Step-by-step explanation:

3x + 12 + 5x - 18 = 180

8x - 6 = 180

8x = 186

x = 23.25

3x + 12

3(23.25) + 12

81.75

5x - 18

5(23.25) - 18

98.25

6y - 5 + 10y - 7 = 180

16y - 12 = 180

16y = 192

y = 12

6y - 5

6(12) - 5

67

10y - 7

10(12) - 7

113

Dawn weighs 80 pounds. Olivia weighs 48 ounces more. How much does Olivia weigh?

Answers

83lbs

48oz = 3lbs
80+3

10) 5 people in the neighborhood buy identical garage doors. There are 200 different codes available to open the garage
doors. What is the probability that any of the 5 neighbors have the same code?
How do you solve this problem

How do you solve the above ptoblem

Answers

I believe that the answer is 40

The scale of a map is 1in.:75km. Determine the distance between two towns that are 5.6 in. apart on the map.

Answers

Answer:

420 km

Step-by-step explanation:

75 times 5 = 375

75/10 = 7.5 times 6 = 45

375 + 45 = 420

Factor the following expressions completely. Show and check all work on your own paper.
5x2-50x+125

Answers

5x2 would be 10 and 10-50x would be negative 40x and 40x + 125 would be 165x

Trapezoid A and trapezoid B as shown on the coordinate grid.

Describe three basic transformations on trapezoid A which show trapezoid B is similar to trapezoid A. In your response, be sure to identify the transformations in the order they would be performed.

Answers

Answer:

Step-by-step explanation:

The missing diagram showing the trapezoids is attached in the diagram below.

There are three stages by which trapezoid A must be transformed into trapezoid B.

We can see three fundamental differences as follows:

rotationsize location

As a result, we will perform the following transformations: 

Right off the bat, carry out an anticlockwise rotation of Trapezoid A 90 degrees from the origin.Then, to balance the size of the dimension, elongate by a scale factor of 1/3. (As can be shown, each side is three times larger after this move, and its base is at y = -2)Finally, a three-unit down translation is carried out.

A 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce soda bottle is approximately normal. A curious student randomly selects fifteen 20-ounce soda bottles from various retailers and carefully measures their content to see if the soda company is cheating the customers. The mean and standard deviation of the fifteen bottles is 19.4 ounces and 0.25 ounces, respectively. Which of the following is the test statistic for the appropriate test to determine if the average amount of soda that is contained in their 20-ounce soda bottles is significantly less than 20-ounces?ghtly news dropping? In a survey taken in 2013, 24 out of 40 adults surveyed responded that they had watched the local TV news at least once in the last month. In a similar survey in 2010, 40 out of 50 adults said they had watched the local TV news at least once in the last month. Is this convincing evidence that the proportion of adults watching the local TV news dropped between 2010 and 2013? For a significance test with the hypotheses where p1 is the proportion of all adults who watched the local news at least once a month in 2013, and p2​ is the proportion for 2010, which of the following is closest to the standard error for the test statistic?

Answers

Answer:

A

Step-by-step explanation:

The appropriate inference procedure in this case is a one-sample t test for a mean. The test statistic for this test is [tex]t=\frac{19.4-20}{\frac{0.25}{\sqrt{n} } }[/tex].

The test statistic for this test is ;

t = 19.4 - 20/ 0.25/√n

What does "normal" describes in statistics?

Normal usually refers to the word "normal" in normal distribution.

The word normal is used when something occurs that have occured frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from mean, its chances decrease.

We are given that 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce soda bottle is normal.

The appropriate procedure in this case is a one-sample t test for a mean.

The test statistic for this test is ;

t = 19.4 - 20/ 0.25/√n

Learn more about normal distribution here:

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A company's revenue from selling x units of an item is given as R=1700x-2x^2 . If sales are increasing at the rate of 25 units per day, how rapidly is revenue increasing ( in dollars per day ) when 250 units have been sold

Answers

Answer:

The daily rate is: 17500 units per day

Step-by-step explanation:

Given

[tex]R = 1700x - 2x^2[/tex]

[tex]\frac{dx}{dt} = 25[/tex]

Required

Find [tex]\frac{dR}{dt}[/tex] when [tex]x = 250[/tex]

We have:

[tex]R = 1700x - 2x^2[/tex]

Differentiate both sides with respect to time

[tex]\frac{dR}{dt} = 1700\frac{dx}{dt} - 4x\frac{dx}{dt}[/tex]

Factorize

[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]

Substitute: [tex]\frac{dx}{dt} = 25[/tex] and [tex]x = 250[/tex]

[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]

[tex]\frac{dR}{dt} = (1700- 4*250)*25[/tex]

[tex]\frac{dR}{dt} = (1700- 1000)*25[/tex]

[tex]\frac{dR}{dt} = 700*25[/tex]

[tex]\frac{dR}{dt} = 17500[/tex]

The perimeter of a rectangular hall is 120m. If its breadth is 25m, find the length​

Answers

Answer:

[tex] 35m [/tex]

Step-by-step explanation:

Given :-

The perimeter of a rectangular hall is 120m.Its breadth is 25m .

And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,

Perimeter of rectangle :-

[tex]\implies Perimeter = 2( l + b)[/tex]

Let the length of the rectangle be x . Plug in the respective values ,

[tex]\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m [/tex]

Hence the length of the rectangle is 35 m .

Plz help me well mark brainliest!
How many units away are each of the points from the a y-axis?
A.3
B.4
C.6
D.7

Answers

It’s 4 units away from the y axis, so the answer would be B

B. 4

count the boxes from the point to the y axis, which would be 4

ignore my previous answer, i was confused, sorry.

When a single fair die is rolled, there are six possible outcomes for the die: {1, 2, 3, 4, 5, 6}.

What is the probability that the number 4 is rolled?

Answers

You are not asking for a probability but just the number of different outcomes of differences. The range is 1 to 6 for each dice throw. The range of the differences are 0–5. Therefore, there are 6 different outcomes……0,1,2,3,4,5

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