11. Solve: (6t - 9) + 8 = 7 + 2(t - 1)

Answers

Answer 1

[tex] \large \mathfrak{Solution : }[/tex]

let's solve for t :

6t - 9 + 8 = 7 + 2(t - 1)

6t - 1 = 7 + 2t - 2

6t - 2t = 5 + 1

4t = 6

t = 6 ÷ 4

t = 3/2 or 1.5

Answer 2

Answer:

t = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

(6t - 9) + 8 = 7 + 2(t - 1) ← distribute parenthesis on both sides

6t - 9 + 8 = 7 + 2t - 2 , that is

6t - 1 = 5 + 2t ( subtract 2t from both sides )

4t - 1 = 5 ( add 1 to both sides )

4t = 6 ( divide both sides by 4 )

t = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]


Related Questions

Write the standard form of the equation of the line through the pair of points (6,3) and (-7,7)

Answers

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

A number increased by 10 is 32. How would I write that as an equation?

Answers

Answer:

4.

Step-by-step explanation:

Remember that “of” means multiplication, so from your question we infer the following equation:

(1/2)x + 10 = 12

First, subtract 10 from both sides:

(1/2)x = 2

Multiply both sides by 2 to eliminate the fraction:

x = 4

Now substitute for x in the original equation to prove this:

(1/2)x + 10 = 12

x = 4

(1/2)4 + 10 = 12

4/2 + 10 = 12

2 + 10 = 12

12 = 12

So the number, x, is 4.

it is an example of your question.

please mark me brainliest

Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°
In a triangle, the measures of the three angles are x, X-29, and x + 26. What is the measure of each angle?

Answers

Please find attached photograph for your answer. Hope it helps. Please do comment.

The US consumes an average of 5.49 million metric tons of bananas per year. There are 313 million people in the US and there are 1000 kg in 1 metric ton. Round answer (except last one) to three significant digits. 365 days in a year. (1848576 with 3 SD's become 1850000= 1.85E6) How many kilogram of bananas are consumed per person in a year?

Answers

Answer:

 17.7 kg hope this helps

for the function f(x) = 2x-5 find.
a. f(2)
b. f(0)
c. f(-3)​

Answers

Answer:

a. f(2) :

[tex]f(x) = 2x - 5 \\ f(2) = 2(2) - 5 \\ f(2) = 4 - 5 \\ f(2) = - 1[/tex]

b. f(0) :

[tex]f(x) = 2x - 5 \\ f(0) = 2(0) - 5 \\ f(0) = - 5[/tex]

c. f(-3) :

[tex]f(x) = 2x - 5 \\ f( - 3) = 2( - 3) - 5 \\ = - 6 - 5 \\ = - 11[/tex]

Solve for x on the diagram below.

Answers

So here,

x°+100°+( x+12)°= 180°(being in a straight line)

2x° + 112°=180°

2x°=180-112°

x=68/2

x=34°

draw 3 1/4 as a picture​

Answers

Im not sure if this is what you’re looking for but hope it helped!

josh and karl are 119 miles apart, traveling towards each other. If Victoria travels 12 mph and Alejandra travels 5 mph how long until they meet?

Answers

Answer:

v1+v2= 12+5= 17

T= s : (v1+v2)=119: 17= 7

Step-by-step explanation:

Help plz asap answer first gets. Brainliest

Answers

1. 3/20 or 0.15
2. 55/4 or 13.75 or 13 3/4

Answer:

1. [tex]\frac{3}{20}[/tex]                      5. [tex]\frac{3}{14}[/tex]                    9.[tex]\frac{14}{15}[/tex]

2. [tex]\frac{55}{4}[/tex]                     6.[tex]\frac{11}{10}[/tex]                    10.[tex]\frac{19}{6}[/tex]

3. [tex]\frac{7}{6}[/tex]                       7. [tex]\frac{22}{15}[/tex]                   11. [tex]\frac{47}{24}[/tex]

4.[tex]\frac{17}{12}[/tex]                       8. [tex]\frac{16}{21}[/tex]                  12. [tex]\frac{19}{42}[/tex]

hope this helps!

Find a+b, 2a+3b,|a|, and |a-b|. a=3i-5j+3k, b=2j-k

Answers

a+b=(2i−4j+3k)+(2j− k)=2i−2j+2k 2a+3b =2(2i−4j+3k)+3(2j− k)
= 4 i−8 j + 6 k + 6 j − 3 k = 4 i − 2j + 3k
|a| = 22 +(−4)2 +32 = √29
|a−b| =|(2i−4j+3k)−(2j− k)|=|2i−6j+4k|

Which property is illustrated by the following ?
if -28 = q, then q = -28​

Answers

Answer:

commutative property

Step-by-step explanation:

commutative property is when you can flip any equation and you will get the same answer. hope this helps

Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?

Answers

Answer:

5

Step-by-step explanation:

2 books at home

2 more books from the library

1 more book he bought

2 + 2 + 1 = 4 + 1 = 5

Answer: 5

What is the product of 7 x 106?

Answers

The product of 7 x106=742

WILL MARK BRAINLIEST 10 PTS!!!

Answers

Answer: cant see

Step-by-step explanation:

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression
3.(2.8) + 7

Answers

Answer:

(3-2)-8+7 is the answer do fast fast

Which of the following is an even unction?

Answers

Answer:

f(x) = |x|

Step-by-step explanation:

because f (–x) = f (x), so all of the signs are the same), then the function is even.

what is prime number​

Answers

Answer:

a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).

i will mark u brainliest please help

Answers

Answer:

30+(2x+7)+63=180(sum of angles of triangle )

30+2x+7+63=180

2x+100=180

2x=180-100

x=80/2

x=40

Answer:

[tex]\boxed {\boxed {\sf (2x+7)+30+63= 180}}[/tex]

[tex]\boxed {\boxed {\sf x=40}}[/tex]

Step-by-step explanation:

We are asked to write an equation to solve for x and use the equation to find x.

We know that the angles in a triangle must add to 180 degrees. Therefore, the sum of the three angles in this triangle: 30, 63, and (2x+7) must equal 180. We can set up an equation.

[tex](2x+7)+ 30 +63= 180[/tex]

Now we can use the equation to solve for x. First, we combine like terms on the left side of the equation. The 3 terms without variables or constants can be added.

[tex]2x+ (7+30+63)= 180[/tex]

[tex]2x+ (100)= 180[/tex]

We are solving for x, so we must isolate the variable. 100 is being added to 2x. The inverse operation of addition is subtraction. Subtract 100 from both sides of the equation.

[tex]2x+100-100= 180-100 \\2x=180 -100 \\2x=80[/tex]

x is being multiplied by 2. The inverse operation of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac {2x}{2}= \frac{80}{2}[/tex]

[tex]x= \frac {80}{2} \ \\[/tex]

[tex]x=40[/tex]

The equation is (2x+7)+ 30+63= 180 and x is equal to 40.

Josie has $147 left on her checking account she writes a check for $56 and then gets paid $225 what is the balance in her checking account now?

Answers

Answer:

A

digit to ghzhzjujzj hazing

Step-by-step explanation:

Joslin uphill to

Gun giddy

What is -1/2 (-5/6 + 1/3)?

Answers

Answer:

-1/2 (-5/6 + 1/3)?

.25

1/4

When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes. What is the constant of proportionality for this relationship?

Answers

your answer would be 1.5

Answer:

The constant of the proportionality for this relationship is tablespoons and chocolate  and cups of syrup.

Step-by-step explanation:

help please will mark brainliest

Answers

Step-by-step explanation:

option number B.......

Answer:

A) Translating 20 units right

Step-by-step explanation:

The triangle is in the same orientation as it would be on the other side of n. It would be translated 20 units instead of 10 because you reflected the triangle twice so you would need to multiply 10 by 2. The 10 also represents the triangle only being reflected once. It would be to the right because the triangle moved to the right.

At Chase Bank, you earned $50 in interest last year. If the interest rate is 4.5% and
your money was in the account for one year, what was your principal deposit, rounded to
the nearest dollar?

Answers

Answer:

$1,111

Step-by-step explanation:

Let x = principal amount

x multiplied by 1.045 will equal the final amount

Since 50 was earned, x + 50 will also equal the final amount

1.045x = x + 50

Let's move the x terms to left side by subtracting both sides by x

1.045x = x + 50

- x        - x

0.045x = 50

Divide both sides by 0.045 to isolate the x variable

0.045x/50 = 50/50

x = 1,111.111111111

plzzzz I need help

Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9​

Answers

Geometric terms are terms used for describing geometric objects

The correct responses for the geometric term modeled by each object are as follows:

16. The geometric term modelled by the tip of the needle is a point

17. The figure modelled by he rail track are lines including; Parallel lines and  intersecting lines

18. The figure modelled by the cloth is a plane with points

19. A table cloth models a plane

20. A partially opened newspaper models an angle, and two planes intersecting

21. Woven threads in a piece of cloth models intersecting lines

22.A knot in a string models a point on a line

Required:

To draw and model a figure for each relationship

Solution:

23. The required drawing of the model of line AB intersecting at Q and W is attached

24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached

25. The required drawing of the model of point Z(4, 2),  R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached

26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]

The required drawing is attached

Learn more about geometric terms here:

https://brainly.com/question/7490312

Elliot invests 15000 in an investment certificate that pays 2% compounded annually. How much interest will he have earned in 2 years?

Answers

Answer:First year:

$15300

Second year:

$15606

Step-by-step explanation:First year:

300 is 2% of 15000, so we add that. The result we have is $15300.

Second year:

306 is 2% of 15300, so we add that to the original value. The result is $15606.

Side note:

All you need to know is the Interest Rate Formula: [tex]p(1+r/100)^n[/tex]. By the way, that's the simple compound interest rate formula. The simple interest rate formula is [tex]p+(r/100)^n[/tex].

h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?

Answers

Answer:  a = (2h-108)/(t^2)

Other answer formats are possible.

===========================================================

Explanation:

Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.

What we'd do is two things

Subtract 54 from both sides Divide by 10

So the steps look like this

h = 54 + 10a

h-54 = 10a

(h-54)/10 = a

a = (h-54)/10

Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.

That means the equation h = 54+ca solves to a = (h-54)/c

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

Why did I do those examples? To build up to the equation your teacher gave you.

Let's replace c with 0.5t^2

This is because 1/2 = 0.5

The 1/2at^2 is the same as (1/2t^2)a

So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)

As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.

Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)

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

Here's another way to solve:

h = 54 + (1/2)at^2

h-54 = (1/2)at^2

2(h-54) = at^2

2h-108 = at^2

(2h-108)/(t^2) = a

a = (2h-108)/(t^2)

In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.

Two angles are complementary. One angle measures 32 degrees more than the other angle. Find the measure of the LARGER angle

Answers

[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =90\ \text{and} \ \beta =\alpha +32\text{\ then}\\\\\alpha +\alpha +32=90\\\\\Longrightarrow 2\alpha =90-32\\\\\Longrightarrow \alpha =\frac{58}{2} =29\\\\\therefore \beta =29+32=61\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 61\ degrees}}\end{array}[/tex]

Write a related addition equation for the subtraction equation.
12 – 7 = 5
A related addition equation is

Answers

Answer:

-7+12 will also give u 5 with a positive sign

23.75 divided by 9.50

Answers

Answer:

2.5

Step-by-step explanation:

please mark brainliest

What could I say for this question anybody who answers this gets brainlist
Answer ASAP!

Answers

Well simply just state ur learning goals are. In my opinion I would keep it short and simple but give a bit of detail to it. At most like 6 sentences should be ok and should work as an answer
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