What is the value of t that satisfies the equation below? 3(t+4)-2(2t+3)=4

Explain how you got your answer

Answer:

To solve for the value of x that makes the equation 52(x−2)=4 true, we need to first isolate the x term on one side of the equation. We can do this by dividing both sides of the equation by 52 to get rid of the coefficient in front of the x term.

Dividing both sides of the equation by 52, we get:

52(x−2) = 4

(x−2) = 4/52

(x−2) = 1/13

Next, we can add 2 to both sides of the equation to isolate the x term on the left side of the equation.

(x−2) + 2 = 1/13 + 2

x = 1/13 + 2

x = (1/13) + (2/1)

x = (13+26)/13

x = 39/13

Therefore, the value of x that makes the equation 52(x−2)=4 true is x = 39/13.

Step-by-step explanation:

Answer:

-250 feet

Step-by-step explanation:

-25x10=-250

The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

Given that,

A circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

We have to determine the resulting solid's volume.

We know that,

Volume of the original ball= 4/3πr³

Radius r=16

Volume v₁=4/3π(16)³ = 16384π/3

Volume of hole = 4/3πr³

Radius r=5

Volume v₂=4/3π(5)³ = 500π/3

Volume of the resulting solid = v₁-v₂

= 16384π/3 - 500π/3

= 15882π/3

= 16623

Therefore, The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

To learn more about volume visit: https://brainly.com/question/1578538

#SPJ4

Answer:

If the video game that Ethan bought usually costs $39.99, and it was on sale for 20% off, then the discount on the game would be $39.99 x 20/100 = $8.00. To determine the final price of the game after the discount, we can subtract the discount from the original price of the game, which gives us:

Final price = $39.99 - $8.00 = $31.99

Therefore, Ethan paid $31.99 for the video game that was on sale. This can be rounded to the nearest cent to give us a final answer of:

Final price = $31.99 ≈ $32.00.

Therefore, Ethan paid $32.00 for the video game that was on sale.

Step-by-step explanation:

The solution is Option B.

The value of y of the equation 4x + 7y = 11 is y equals the quantity negative 4 times x plus 11 end quantity over 7

y = ( -4x + 11 ) / 7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

4x + 7y = 11   be equation (1)

On simplifying the equation to solve for y , we get

Subtract 4x on both sides of the equation , we get

7y = 11 - 4x

Divide by 7 on both sides of the equation , we get

y = ( 11 - 4x ) / 7

So , on simplifying the equation , we get

y = ( -4x + 11 ) / 7

Therefore , the value of y is ( -4x + 11 ) / 7

And , y equals the quantity negative 4 times x plus 11 end quantity over 7

Hence , The value of y of the equation 4x + 7y = 11 is y equals the quantity negative 4 times x plus 11 end quantity over 7

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

Read more about panel:

https://brainly.com/question/1445737

#SPJ4

The equation of the line is y = 4x + 9

Given,

The points; (x₁, y₁) = (1, 5)

The line is parallel to, y = 4x - 2

Here,

The line given is in the Slope Intercept Form

y = mx + b

y = 4x - 2

Parallel Lines have the same slope

So,

Slope, m = 4

Then,

y = 4x + b

Since it passes through point p(1, 5) we can use these coordinates to solve for b

5 = -4 + b

Solve for b

9 = b

Therefore, the equation of the line;

y = 4x + 9

Learn more about equation of line here;

https://brainly.com/question/29647823

#SPJ4

The solution of the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55)

The first equation is

y = -3x - 2

The second equation is

5x + 2y = 15

To solve this problem we have to use the substitution method

Substitute the value of y = -3x - 2 in the second equation 5x + 2y = 15

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

5x - 6x - 4 = 15

-x - 4 = 15

-x = 15 + 4

-x = 19

x = -19

Substitute the value of x in the first equation

y = -3x - 2

y = -3(-19) - 2

= 57 - 2

= 55

Therefore, the solution of the system of equation is (-19, 55)

I have solved the question in general, as the given question is incomplete

The complete question  is

What is the solution to the system of equations

y = -3x - 2 and 5x + 2y = 15

Learn more about substitution method here

brainly.com/question/14619835

#SPJ4

Answer:

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

Let the number of miles be x.

Then we have the following equation:

Solve it for x:

The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold is 4t + 6.25b ≥ 630.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold will be:

4(t) + 6.25(b) ≥ 630.

4t + 6.25b ≥ 630.

Therefore, the inequality is 4t + 6.25b ≥ 630..

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

Answer:

x = −1 and y = 3

Multiply the second equation by -1, then add the equations together.

(−x−7y=−20)

−1(−6x−7y=−15)

Becomes:

−x−7y=−20

6x+7y=15

Add these equations to eliminate y:

5x=−5

Then solve5x=−5for x:

5x=−5

5x/5 = -5/5

x = -1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−x−7y=−20

Substitute−1 for x in −x −7y = −20:

−(−1)−7y=−20

−7y+1=−20(Simplify both sides of the equation)

−7y+1+−1=−20+−1(Add -1 to both sides)

7y = -21

-7y/-7 = -21/-7

y=3

As per the concept of survey, Nonresponse is the type of bias that happens when individuals with certain characteristics are less likely to respond to surveys than others.

What is the working process of survey?

In general terms, survey refers a set of questions people are asked to gather information or find out their opinions, or the information gathered by asking many people the same questions.

Here we need to find the type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.

As we know that, when respondents to a survey question or the entire survey are unable or unwilling to respond, this is known as nonresponse bias. Individuals have many excuses for not responding and a cause of error must be systematic in order to be categorized as biased.

Here the distinction between respondents and non-respondents frequently plays a role in explaining why there was no response.

Therefore,  Non-response bias, also known as participation bias, is sometimes the result of shoddy survey design and poor questionnaire targeting.

To know more about Survey here.

https://brainly.com/question/13532910

#SPJ4

Answer: Juana's monthly cost is .05 per text. Tonya's is .5 per text. The correct answer to your question is Tonya pays $20 for 150 messages because that is not true

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Do old total minus the new total to get the difference then divide by old to total.

The correct answer would be (B).

Answer: 55 square feet

Step-by-step explanation:

To find area:
Length * Width

11 * 5 = 55

Answer: 55 sq. feet

explanation : 5 x 11 is 55, so 55 square feet

It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.

The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.

A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

Learn more about Parabola here:

brainly.com/question/21685473

#SPJ4

Answer: can you provide the graph so i can give an answer?

Step-by-step explanation:

The value of sin U of the right triangle is as follows:

sin U = 12 / 13

A right angle triangle are triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the angles position. The sides of a right triangle are as follows:

The angles and side of a right triangle can be found using trigonometric ratios as follows:

sin U = opposite / hypotenuse

where

opposite side = 12

hypotenuse side = 13

Hence,

sin U = 12 / 13

learn more on right triangle here: https://brainly.com/question/28367416

#SPJ1

The amounts of each substance are given as follows:

The graphic solution of a system of equations is given by the point of intersection of the equations that compose the system.

The variables that define the system in this problem are given as follows:

Yaritza sold a total of 75 pounds of peaches and grapes, hence:

x + y = 75.

Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75, and she made $225, hence:

2.5x + 3.75y = 225.

As given by the image at the end of the answer, the intersection of these two equations in the graph is given as follows:

(45, 30).

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer: -8 and 4 or 16 and 2

Step-by-step explanation:

A pair of integers that satisfies the given conditions is -8 and 4.

When multiplied, the product of -8 and 4 is -32. When added, the sum of -8 and 4 is -4. Therefore, -8 and 4 are a pair of integers that satisfies the given conditions.

To verify this solution, we can multiply -8 and 4 to get -32, and then add -8 and 4 to get -4. This confirms that -8 and 4 are a valid solution to the problem.

It is also possible to find other pairs of integers that satisfy the given conditions. For example, another pair of integers that satisfies the given conditions is -16 and 2. When multiplied, the product of -16 and 2 is -32. When added, the sum of -16 and 2 is -4. Therefore, -16 and 2 are another pair of integers that satisfies the given conditions.

Answer:

-1/2

Step-by-step explanation:

Rise/Run

The slope and y-intercept of a graph can be determined by examining the equation of the line.

The slope is the coefficient of the x-term (the number next to x in the equation) and the y-intercept is the number that the line crosses the y-axis (the constant in the equation). For example, if the equation of a line is y = 2x + 5, then the slope is 2 and the y-intercept is 5. To graph the line, you can use the slope and y-intercept. Start at the y-intercept and move up or down the number of units indicated by the slope. For example, if the slope is 2, move two units up or two units down and plot a point. Repeat this process until the graph is complete.

To know more about y-intercept refer to the link  brainly.com/question/14180189

#SPJ4

The equation of the line that passes through (1,2) and is perpendicular to the given line is y = -x + 3 with slope 2.

Given line: y = 2x - 1

We know that two lines are perpendicular if their slopes are negative reciprocals of each other.

The provided line's slope is m1 = 2.

Therefore, slope of the line that passes through (1,2) and is perpendicular to the given line = m2 = -1/2

Now, we can use the point-slope equation of a line to find the equation of the line:

y = -x + 3

Learn more about slope here

https://brainly.com/question/3605446

#SPJ4

Work done by the person for the displacement of 100m along +x-axis with constant velocity and mass of 10kg is equal to 0Joule.

As given in the question,

Mass of a person 'm' = 10kg

Displacement of the person while walking along +x axis 'd'= 100m

Constant velocity = 2m/s

Let 'w' be the work done by the person

Work = Force × Displacement

Force = mass × acceleration

Acceleration = (final velocity - initial velocity)/ total time taken

Here, Constant velocity ⇒final velocity - initial velocity = 2- 2

                                                                                      = 0m/s

⇒Acceleration = 0m/s²

⇒Force = 10 × 0

             = 0Kgm/s²

⇒Work done = 0 × 100

                     = 0 Joule

Therefore, work done by the person for the given displacement, velocity, and mass is equal to zero Joule.

Learn more about work done here

brainly.com/question/16976412

#SPJ4

Since the ΔEFG is similar to ΔHIJ, so side HI is equivalent to the measure of length of segment [EF] divided by the scale factor [K].

        equilateral triangle, scalene triangle, isosceles triangle etc.

We have triangle ΔEFG is similar to triangle ΔHIJ.

Since ΔEFG is similar to triangle ΔHIJ, then we can write -

EF/HI = FG/IJ = EG/HJ = K [constant]

Since the side lengths are not given, we can write -

EF/HI = K

HI = EF/K

Therefore, since the triangles ΔEFG is similar to ΔHIJ, the side HI is equivalent to HI = EF/K.

To solve more questions on 2 -D figures, visit the link below-

brainly.com/question/25950519

#SPJ1

The probability that it will be a king or a diamond is 4/13

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

There are 52 cards, of which 4 are kings.

There are 52 cards, of which 13 are diamonds.

But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.

So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.

There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.

Hence, the probability that it will be a king or a diamond is 4/13.

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ4

(a) the percent of those  who have a dog also have a cat is  40% .

(b) the percent of those who have a cat also have a dog is  60% .

In the question ,

it is given that ,

the percent of children who have a dog = 45% ,

the percent of children having cat = 30%

the percent of children having dog and cat = 18% ,

Part(a)

the percent of children that have a dog also have a cat is

= (number of children that have dog and cat)/(number of children having dog)

= 18/45

= 0.4 = 40% .

Part(b)

the percent of children that have a cat also have a dog is

= (number of children that have dog and cat)/(number of children having cat)

= 18/30

= 0.6 = 60% .

Therefore , the required percent for part(a) is 40% and part(b) is 60% .

Learn more about Percent here

https://brainly.com/question/27379247

#SPJ4

Answer: 0.109011627907

Step-by-step explanation:75 divided by 688 =0.109011627907

Answer: I may not be much of a help, but....

Step-by-step explanation: Count up each year by 2%, and then do the rounding! I really do hope this helps!

Answer:

Step-by-step explanation:

So basically ur adding  2 % every year.