I still don't get how to do this: Solve for t then simplify your answer. -6/5t=9

Answers

Answer 1

Answer:

t= -15/2       or       t= -7.5

Step-by-step explanation:

We are given the equation:

[tex]\frac{-6}{5}t=9[/tex]

and asked to solve for t. Therefore, we must isolate t on one side of the equation.

t is being multiplied by -6/5. The inverse of multiplication is division. We should divided both sides by -6/5, but we are dividing by a fraction. Instead, we can multiply by the reciprocal.

To find the reciprocal, flip the numerator (top number)  and denominator (bottom number).

-6/5 ----> -5/6

Multiply both sides of the equation by -5/6

[tex]\frac{-5}{6} *\frac{-6}{5}t=9 *\frac{-5}{6}[/tex]

[tex]t=9 *\frac{-5}{6}[/tex]

[tex]t=\frac{9}1 *\frac{-5}{6}[/tex]

Multiply across the numerator and denominator.

[tex]t= \frac{9*-5}{1*6}[/tex]

[tex]t=\frac{-45}{6}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 3.

[tex]t=\frac{-45/3}{6/3}[/tex]

[tex]t=\frac{-15}{2}[/tex]

[tex]t= -7.5[/tex]

t is equal to -15/2 or -7.5


Related Questions

Which model represents a fraction less than Three-fifths? A circle divided into 5 equal parts. 4 parts are shaded. A circle divided into 5 equal parts. 2 parts are shaded. A circle divided into 5 equal parts. 6 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.

Answers

Answer:

The correct answer is:

A circle divided into 5 equal parts. 2 parts are shaded.

Step-by-step explanation:

To determine the fraction less than three-fifths, let us convert the word problems into figures and compare the values:

[tex]Three-fifths = \frac{3}{5} = 0.6[/tex]

a) A circle divided into 5 equal parts. 4 parts are shaded (four-fifths)

[tex]Four-fifths = \frac{4}{5} = 0.8\ (more\ than\ three-fifths)[/tex]

b) A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)

[tex]Two-fifths = \frac{2}{5} = 0.4\ (less\ than\ three-fifhs)[/tex]

c) A circle divided into 5 equal parts. 6 parts are shaded = [tex]\frac{6}{5} = 1.2[/tex] (more than three-fifths)

d) A circle divided into 10 equal parts. 8 parts are shaded [tex]= \frac{8}{10} = 0.8\ (more\ than\ three-fifths)[/tex]

Therefore, the fraction less than three-fifths = A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)

A circle divided into 5 equal parts. 2 parts so the answer is B

explanation:

Hope this works<3

pls show work and explain how to do it

Answers

Step-by-step explanation:

1. We can see that the two vertical lines are parallel. Since one angle is 80º, then the other side should be 100º, since the straight line is 180º.

2. If the angle on the right is 80º, then that means the angle with y and 40º add up to 100º.

3. 100º - 40º = 60º.

Our final answer: y = 60º

I hope this helps!

Daryl is twice the difference of Amy’s age and 5. If their combined age is 50, how old is Darly

Answers

Answer:

30

Step-by-step explanation:

What is m RMS in the figure below?
RA
P
M
128°
T
A 26
B 38
C 52
D 128

Answers

Answer:

Option (B)

Step-by-step explanation:

There are two lines PS and QT intersecting each other at a point M.

It's given that m∠PMT = 128° and m∠QMR = 90°

Since ∠PMT and ∠QMS are the vertical angles so these angles will be equal in measure.

∠PMT = ∠QMS

128° = m∠QMR + m∠RMS

128° = 90° + m∠RMS

m∠RMS = 128° - 90°

m∠RMS = 38°

Therefore, Option (B) will be the answer.

The following graph shows a proportionality between y and x in the graph ?

Answers

Answer:

3/1 is the ans

Step-by-step explanation:

here y is in 3

and x is in 1

so proportonality will be 3/1

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x x that support your conclusion. x − 5 = x−5= 5 − x 5−x

Answers

Answer:

It has 1 solution

[tex]x=5[/tex]

Step-by-step explanation:

Given

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

Required

Determine the number of solution

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

Collect Like Terms

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

[tex]2x = 10[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{10}{2}[/tex]

[tex]x = \frac{10}{2}[/tex]

[tex]x = 5[/tex]

Since the value of x is 5, then the equation has 1 solution

[tex]x = 5[/tex] is its only value

Is the number a rational number? Help me out please!

Answers

Answer:

first answer

Step-by-step explanation:

Hi, this is correct because repeating decimals are rational numbers.

Rational numbers can be written by a fraction of integers.

If there is a pattern, it means that this is the division of two integers.

hope this helps

Answer:

yes

Step-by-step explanation:

Rachel plans to study 2 hours for her next exam how might plotting her

Answers

Can you pls give more information

what would be the answer to g+3=17

Answers

Answer:

g = 14

Step-by-step explanation:

g + 3 = 17

minus 3 from both sides

g = 14

Please help me with this!! (20 points)

Answers

Answer:

BC, BD

Step-by-step explanation

If right please brainly

What is the justification for the step taken from line 2 to line 3?

Answers

Answer:

They subtracted 2x from both sides.

Step-by-step explanation:

They removed 2x from each side because in order to find x it will have to be removed on one side. Since 2x - 2x = 0 it is 2x is out of the equation for the right side and on the left side -2x -(-4x) = -6x which means that there is one x variable left in the equation thus making it solvable.

1. Each of the six cards shows a shape.
N
3
X
5
4
z
a. Which pair of cards shows a shape and its image after a rotation?
b. Which pair of cards shows a shape and its image after a reflection?

Answers

Answer:

a). Cards (1) and (4)

b). Cards (3) and (5)

Step-by-step explanation:

(a). From the cards attached,

  If card (1) is rotated by an angle of 180° counterclockwise, we get the image given in card (4).

  Therefore, card (4) will be the image of card (1) after a rotation.

(b). If we reflect card (3) across a horizontal line (or x- axis) image card (4) is obtained.

   Therefore, card (3) and card (5) is the pair of cards.

Janice published a novel. Last month the book sold 1326 copies, earning Janice a total of $1579.76. This month the book sold 1445 copies. How much should Janice expect to receive in royalties this month?

Answers

$1,721.53. That’s your answer.

2. Simplify the expression
6xy*(2xy = x?)

Answers

Answer:

2+2=4

Step-by-step explanation:

Idk how to solve these

Answers

i think it’s 7, angle GHE

Convert the decimal to a fraction. 0.185

Answers

Answer:

37/200

Step-by-step explanation:

.185= 185/1000

reduce to- 37/200

Hope this helps.

please someone help me to prove this..​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\sin x+\sin y=2\sin \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\sin x-\sin y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=-2\sin \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\sin 5-\sin 15+\sin 25 - \sin 35}{\cos 5-\cos 15- \cos 25 + \cos 35}[/tex]

[tex]\text{Reqroup:}\qquad \qquad \qquad \dfrac{(\sin 25+\sin 5)-(\sin 35 + \sin 15)}{(\cos 35+\cos 5)-(\cos 25 + \cos 15)}[/tex]

[tex]\text{Sum to Product:}\quad \dfrac{2\sin \bigg(\dfrac{25+5}{2}\bigg)\cos \bigg(\dfrac{25-5}{2}\bigg)-2\sin \bigg(\dfrac{35+15}{2}\bigg)\cos \bigg(\dfrac{35-15}{2}\bigg)}{2\cos \bigg(\dfrac{25+15}{2}\bigg)\cos \bigg(\dfrac{25-15}{2}\bigg)-2\cos \bigg(\dfrac{35+5}{2}\bigg)\cos \bigg(\dfrac{35-5}{2}\bigg)}[/tex][tex]\text{Simplify:}\qquad \qquad \dfrac{2\sin 15\cos 10-2\sin 25\cos 10}{2\cos 20\cos 15-2\cos 20\cos 5}[/tex]

[tex]\text{Factor:}\qquad \qquad \dfrac{2\cos 10(\sin 15-\sin 25)}{2\cos 20(\cos 15-\cos 5)}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{\cos 10\bigg[2\cos \bigg(\dfrac{15+25}{2}\bigg)\sin \bigg(\dfrac{15-25}{2}\bigg)\bigg]}{\cos 20\bigg[-2\sin \bigg(\dfrac{15+5}{2}\bigg)\sin \bigg(\dfrac{15-5}{2}\bigg)\bigg]}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{\cos 10[2\cos 20\sin (-5)]}{\cos 20[-2\sin 10\sin 5]}\\\\\\.\qquad \qquad \qquad =\dfrac{-2\cos10 \cos 20 \sin 5}{-2\sin 10 \cos 20 \sin 5}\\\\\\.\qquad \qquad \qquad =\dfrac{\cos 10}{\sin 10}\\\\\\.\qquad \qquad \qquad =\cot 10[/tex]

LHS = RHS:  cot 10 = cot 10   [tex]\checkmark[/tex]

what is 7.3 estimated to

Answers

The whole number of 7

The difference of the squares of two positive consecutive even integers is 12. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer

Answers

Answer:

2 and 4.

Step-by-step explanation:

(x+2)^2 - x^2 = 12

x^2 + 4x + 4 - x^2 = 12

4x + 4 = 12

4x = 8

x = 2.

Hence the integers are 2 and 4.

Find and describe the error in the followig work -3(2x+3)=21 -6x+9=21 -6x=12 x=-2

Answers

Answer:

-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.

Step-by-step explanation:

When you distribute -3 with 2x+3 you multiply both values by -3.

-3*2x = -6x

-3*3 = -9 <- This is where the error is. It's -9, not +9.

Two angles from a liner pair. The measure of one angle is 4 times the measure of the other angle. Find the measure of each angle

Answers

Answer:

x = 36 degrees, the smaller angle.

4(36) = 144 degrees, The larger angle.

36 + 144 = 180 degrees.

Cleomenius.

Answer:

x = 36 degrees, the smaller angle.4(36) = 144 degrees, The larger angle.36 + 144 = 180 degrees.

Step-by-step explanation:

(1)adjacent- two non-overlapping angles that share a common vertex and a common side

(2)the non-common sides are opposite rays.

(3)adds up to 180

The parking lot at a grocery store has 90 cars in it. 90% of the cars are blue. How many cars are blue?
a 10 cars
b 81 cars
c 810 cars
d 100 cars

Answers

Answer:

81 blue cars

Step-by-step explanation:

Total Cars = 90

How much % are blue = 90

=> 90 x 90/100 = How many cars are blue

=> 8100/100 = the number of cars that were blue

=> 81 = cars that were blue.

There 81 blue cars in the parking lot.

[GIVING BRAINIEST] What is 18/6

Answers

Answer:

3

Step-by-step explanation:

18/6 = 3

15+21 distributive property

Answers

The answer is 36

Explanation

Need help! Will mark BRAINLIEST!!!

Answers

Answer:

1) 3

2) 7

3) 4

4) 13

5) 5

6) 6

7) 11

8) 8

9) 7

10)80*

11)45*

12) Can't really see sorry

13) Is that the whole question? If not just comment the whole thing and Il'l try answer it ☺ Hope that helped!

Answer:

1. RS = - 2-(-5) = 3

2. R5 = 2 -(-5) = 7

3. ST = 2- (-2) = 4

4. RU = 8-(-5) = 13

5. PQ is a straight line with the length of 5 units.

6. QR is a straight line with the length of 6 units.

7. PR is a straight line with the length of 11 units.

8. AC = 24

4x=24

x=6

AB=6

9. BC = 15

3x=15

BD = 3x + 4x - 13

= 22

I might be wrong

help on math question pls!!

Answers

[tex]-5*(-7)=35[/tex]

[tex]|35|=35[/tex]

[tex]-1*35=-35[/tex]

Hope this helps.

頑張って!

Between which two integers does square root of /51 lie

Answers

Answer:

7 and 8

Step-by-step explanation:

Consider the perfect squares either side of 51

49 < 51 < 64 , thus

[tex]\sqrt{49}[/tex] < [tex]\sqrt{51}[/tex] < [tex]\sqrt{64}[/tex] , that is

7 < [tex]\sqrt{51}[/tex] < 8

Answer:

7 and 8.

Step-by-step explanation:

7^2 = 49 and 8^2 = 64.

Please help!!! I'll mark you brainiest and give you as many Points as possible!!!!!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]f(x) = 40( \frac{1}{4} )^{x} [/tex]

Answer: its a

Step-by-step explanation:

Solve for x. Round if needed. Image is below.

Answers

Answer:

x = 16

Step-by-step explanation:

3x + 1 = 49 ( vertical angles )

Subtract 1 from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

2. Which of the following is a common factor of *
4x? - 12x² and 8x² - 4x?

Answers

Answer:

Im not sure but hiiiiiiiiii.

Step-by-step explanation:

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