Make t the subject of this formula.
r = 7 (t + 3)

Answers

Answer 1

Answer:

t= r-21

7

Step-by-step explanation:

r = 7(t+3)

expanding the bracket

r = 7t + 21

bringing t to the left hand side

7t = r - 21

divide both sides by seven

t= r-21

7

Answer 2

Answer:

t = (r/7) - 3

Step-by-step explanation:

Given equation,

→ r = 7(t + 3)

Now the value of t will be,

→ r = 7(t + 3)

→ r = 7t + 21

→ r - 21 = 7t

→ 7t = r - 21

→ t = (r - 21)/7

→ t = (r/7) - 3

Hence, value of t is (r/7) - 3.


Related Questions

Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of N'? *

Answers

Answer:    (-3, 0)

Explanation:

Point N is at (1,3)

We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.

The old x coordinate x = 1 becomes x-4 = 1-4 = -3

The old y coordinate y = 3 becomes y-3 = 3-3 = 0

The point N(1,3) moves to N ' (-3, 0)

6. If the set A = {-2, 1, 3), then the set A is a subset of the set of?​

Answers

Answer:

Step-by-step explanation:

We could invent set B:  {-2, 1, 3, 5, 6, 10} and then correctly state tht set A is a subset of B, because {-2, 1, 3} is also found in A.

which of the following is the result of the equation below after completing the square and factoring x^2+3x+8=6​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 + 3x + 8 = 6}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}[/tex]

[tex]\mathsf{8 - 6 = \boxed{\bf 2}}[/tex]

[tex]\mathsf{6 - 6 = \boxed{\bf 0}}[/tex]

[tex]\mathsf{x^2 + 3x + 2 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}[/tex]

[tex]\mathsf{(x + 1)(x + 2) = 0}[/tex]

[tex]\large\textsf{SET EACH FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}[/tex]

[tex]\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I will give brainliest if you add details:
A recent study asked the same 15 students their favorite subject at three different times: in elementary school, in middle school, and when getting ready to graduate from high school.

What percentage of students said that Math was their favorite subject in elementary school?
What is the percent of change for History being the favorite subject between elementary school and graduating from high school?

Answers

Answer:

53 1/3% for the first answer, and 33 1/3% increase for the second answer

Step-by-step explanation:

Ok, lets start up witht eh first question.

We need to find the percentage of studens that find math the be their favorite subject in elementary school.

We know that there are 15 kids in total.

We specificly see that 8 of those kids like math the most.

To find percentage, divide 8 by 15.

Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.

Next we need to find the percentag eof change that history is over elementary school to high school.

This might sound confusing, but this is basically just a change of 3 students to 4 students.

To find percentage, just divide 3 by 4:

This gets you 33 1/3%

Hope this helps!

The profit for a car company can be represented by the function P=−0.5 x² +4 x+ 12,

where P is the profit in hundred thousands of dollars and x represents the number of cars sold in thousands. What is the maximum profit the company can make?

Answers

Answer:

3x+12

Step-by-step explanation:

-0.5x*2+4x+12

Multiply 0.5x*2=x

= -x+4x+12

Add similar elements -x+4x+12

= 3x+12

Kate is 1 year and six months younger than her sister. If her sister is 14 years and 2 months old, how old is Kate?

Answers

Answer:

Kate is 13years and 4 months old,I suggest.

An article bought for $125 was sold %175. The percentage profit

Answers

Answer:

40% profit

Step-by-step explanation:

There is a profit of $50.

If you were to find the percentage, you would divide 50 by 125. This would give you 0.4

Need help on this question asap please

Answers

Answer:

3rd choice

Step-by-step explanation:

Similar triangles have congruent angles and proportional sides

They look similar but size may vary

plzz helpppp.........​

Answers

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

Which best describes the relationship between the line that passes through the points (-6, -1) and (-11, 1) and the line
that passes through the points (-3, -8) and (-5, -13)?
A. perpendicular
B. parallel
C. neither perpendicular nor parallel
D. same line

Answers

Answer: A. perpendicular

Step-by-step explanation: First, you have to determine the slope of both lines and you can do so using the slope formula: (y2 - y1)/(x2 - x1). You should get the slope -2/5 for the first line and 5/2 for the second. Because one line has a slope that is the negative reciprocal of the other, these lines are perpendicular.

Please, help. I need to prove this.

Answers

Answer:

2. angle BAD is equal to angle DCB?

3. angle CBA is equal to angle ADC, then

4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA

Step-by-step explanation:

since line BCD is equal to line DAB

AND line CBA is equal to line ADC

and because BEA triangle equals DEC, angles BEA and DEC are congruent

and angle BEC is equal to DEA

and yeah your right, it would be supplementary.

Wich Type of rectangle has not equal side lengths A. Isosceles B. Equilateral C. Scalene D. None of the above

Answers

Answer:

C. Scalene triangle

Step-by-step explanation:

Wich Type of triangle has not equal side lengths A. Isosceles B. Equilateral C. Scalene D. None of the above

scalene triangle can be regarded as triangle whereby all three sides of the triangle have different lengths. the angles in scalene triangle is also

different if measured. Some right triangles can as well be regarded as scalene triangle if other two angles( the legs) are not congruent. It should be noted that Type of triangle which has not equal side lengths is Scalene

Write an equation for the line that passes through E(4, -3) and is parallel to the line
0 = 5x - 7y - 27 Write the equation in general form.

Answers

Answer:

y= 5x/7 -27/7

if they are parallel there gradient is the same

m1=m2

y-y1=m(x-x1)

plug in the gradient and points E

y-(-3)=5/7( x-4)

y= 5/7(x) -20/7 +3

final answer

y= 5/7(x) +1/7

What trig ratio would you use to solve for x?

O Cosine
O Tangent
O Sine

Answers

Answer: Cosine

This is because cosine involves the adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

Find the ratio of sin (A) please help

Answers

Answer:

8/17

Step-by-step explanation:

take angle A as reference angle

using sin rule

sin A = opposite / hypotenuse

sin A = 16/34

sin A = 16/34

sin A = 8/17

Determinar el valor de las siguientes progresiones:

1)4, 12, 36, 108,…
2)4, 20, 100, 500,…
3)5, 10, 20, 40,…

Answers

Answer:

Step-by-step explanation:

1) . .324, 972, 2916

2) ...2500, 12500, 62500

3). . 80, 160, 320

i need help as soon as possible please and thank you

Answers

Step-by-step explanation:

yes that's the answer

can you please give me brainliest

and use DESMOS app for drawing graphs

I don’t understand the problem or question

Answers

Answer:

Part A

a. Could be a parallelogram but cannot be a rectangle

Part B

c. 100°

Step-by-step explanation:

Part A

The polygon constructed by Andrew = Four sided polygon having no right angles

From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus

The rectangle, and square both have 4 right angles

Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square

The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'

Part B

The given parameters of the rhombus EFGH are;

Angle E = 3·x + 5, angle H = 4·x

The characteristics of a rhombus are;

The sum of the interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal

The sum of the adjacent angles = 180° (The adjacent angles are supplementary)

Therefore, in the rhombus EFGH, we have;

Angle E, and angle H are supplementary angles

∴ Angle E + angle H = 180°

Substituting the values of angle E and angle H gives;

3·x + 5 + 4·x = 180°

7·x = 180° - 5 = 175°

x = 175°/7 = 25°

Angle H = 4·x

∴ Angle H = 4 × 25° = 100°

Angle H = 100°

Angle F = angle H = 100°

Therefore, angle F = 100°

in a class of 37 students,the number of students who like martial art only is double than the number of students who like athletics only .if students like both 4 like none of the games . find how many students like​

Answers

Answer:

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x = 20 students

Step-by-step explanation:

In a class of 37 students, the number of students who like marshal arts only is

double than the number of students who like athletics only. If 3 students like both

and 4 like none of the games, find out how many students like:

i. Marshal arts

ii. Athletics​

Total students in the class = 37

number of students who like Athletics only = x

number of students who like marshal arts only = 2x

Number of students who like both = 3

Number of students who like none = 4

Total = athletics + marshal art + both + none

37 = x + 2x + 3 + 4

37 = 3x + 7

37 - 7 = 3x

30 = 3x

x = 30/3

x = 10

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x

= 2(10)

= 20 students

Can someone please help me with this. ANYONE!

Answers

Answer:

Step-by-step explanation:

1 OF 3OR5

Simplify variable expressions involving like terms and the distributive property

Answers

Answer:

gracias por los puntos xd

Sarah accepted a new job at a company with a contract guaranteeing annual raises. Sarah's salary after working for nn years can be determined using the equation S=90000+3500n.S=90000+3500n. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

Rotate the triangle 90° anti-clockwise about the cross.​

Answers

Answer:

see below

Step-by-step explanation:

-90 degrees, the rule is (x, y) --------> (-y, x)

The leftmost point is at (1,1) so it will be at (-1, 1)

The top right point is at (4,1) so it will be at (-1,4)

The bottom right point is at (4,-1) so it will be at (1,4)

Help please I’ll give you the brainliest I really got to get this done

Answers

Answer:

56

Step-by-step explanation:

If the area of a circle is 36 pi, what is it's circumference?

Answers

Answer:

C = 12π or 37.7

Step-by-step explanation:

A = πr²

36π = πr²

π's get divided out and you are left with:

r² = 36

if you take the square root of 'r' it will equal the square root of 36, which is 6

C = 2πr

C = 2π(6)

C = 12π or 37.7

Answer

the answer is 12*sqrt pi

Which is the graph of linear inequality 2y > x-2?

Answers

Answer:

top line third option with shaded above.

Step-by-step explanation:

it's the third option because it's a

dotted line because it's not included (since it doesn't say greater than or equal to). Also, greater than is shaded above the line.

The third graph is the correct representation of the given inequality.

What are linear inequalities?

Linear inequalities are defined as a mathematical expression that compares two expressions using the inequality symbol.

The given inequality is 2y > x-2.

i.e y > (x-2)/2

Since the inequality sign does not contain an equals sign,  the line is drawn as a dashed line.

The upper region satisfies the inequality.

Hence, the upper shaded portion with the dashed line is the correct graph for the given inequality.

To learn more about linear inequality, use the link given below:

https://brainly.com/question/11897796

#SPJ2

m∠RST =______because they are __________ (Fill in the blanks)

Answers

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Pls I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!

Answers

Answer:

Question 1: 75 minutes

Question 2: 4:07

Question 3: 30 minutes

Question 4: 8:35

Step-by-step explanation:

An hour is sixty minutes; that's the key to solving these questions.

The time basketball was played is 75 minutes or 1 hour 15 minutes

The time I get home is at 4:07

The cook was cooked for 30 minutes.

The cheerleading was over at 8:35.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

We have,

Trey and Na Asia played basketball from 10:30 - 11:45.

From 10 to 11 we have 60 minutes.

= 60 minutes - 30 minutes [10:30] + 45 minutes [ 11:45]

= 105 minutes - 30 minutes

= 75 minutes

The time basketball was played.

= 75 minutes

= 1 hour 15 minutes

I left school at 3:15 on the bus. I got home 52 minutes later.

1 hour = 52 minutes

= 3:15 + 52 minutes

= 3  + 15 minutes + 52 minutes

= 3 + 67 minutes

= 3 + 1 hour +  7 minutes

= 4:07

The time I get home is at 4:07

Antavious makes Macaroni and cheese. He begins making it at 6:35 and finished at 7:05.

= 6:35 to 7:05

From 6 to 7 we have 60 minutes.

So,

= 60 minutes - 35 minutes [6:35] + 5 minutes [7:05]

=  65 minutes - 35 minutes

= 30 minutes

The cook was cooked for 30 minutes.

Makhiya and Madison went to cheerleading at 7:15. It was over 1 hour and 20 minutes later.

= 7:15 + 1 hour + 20 minutes

= 7 + 15 minutes + 1 hour + 20 minutes

= 8 + 35 minutes

= 8:35

The cheerleading was over at 8:35.

Thus,

The time basketball was played is 75 minutes or 1 hour 15 minutes

The time I get home is at 4:07

The cook was cooked for 30 minutes.

The cheerleading was over at 8:35.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​

Answers

Answer:

The other rational number in the operation given is:

6/5

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

r * 15/14 = 9/7

Where:

r = the other rational number.

Now we are going to solve r to identify its value in numbers:

r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]

As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7

In this form, we know the result is correct.

Write the slope-intercept form of the linear equation that has a slope of 3
and a y-intercept of -1.

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

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Management is contemplating the lease of an automatic collating machine that has a monthly capacity of 6,000,000 photocopies, with lease and operating costs totaling $1,550, plus $0.05 per 1,000 units collated.(a) Determine the total costs of collating 500,000 and 1,500,000 per month:1. With student help.2. With the collating machine.(b) Determine the monthly volume at which the automatic process becomes preferable to the manual process. A bungee jumper leaps off a cliff 122 meters from the ground. Her cord, when fully stretched, is 72 meters long, and it takes 6 seconds after the jump for it to extend fully. The distance between e jumper and the ground as a function of time can be modeled as a quadratic function. Which equation represents her distance from the ground as a function of time? 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