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3 years ago

Solve for y. 6(y+4)=-3(2y-2) +8y Simplify your answer as much as possible. y =

Mathematics

2 answers:

nadezda [96]3 years ago

7 0

Answer:

6(y + 4) = -3(2y - 2) + 8y

6y + 24 = -6y + 6 + 8y

6y + 24 = 2y + 6

Subtract -2y on both sides

4y + 24 = 6

Subtract -24 on both sides

4y = -18

y = - 4.5

Anit [1.1K]3 years ago

7 0

Answer:

-9/2 or -4.5

Step-by-step explanation:

Distribution; 6y+24 = -6y+6+8y
Combine like terms; 6y+24 = 2y+6
Put y on one side; 6y-2y = -24+6
Simplify; 4y = -18
4y/4 = -18/4
y= -9/2 or -4.5

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Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio

maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions + number of essay questions

Or, m + e = 26 .....A

Again

Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123 .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m - 3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴ m = $\dfrac{85}{5}$

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0

3 years ago

Noah drew 12 hearts and 24 circles. What is yhe ratio of circles to hearts?In simplified form

Paul [167]

Answer:

2:1

Step-by-step explanation:

24 circles:12 hearts

/12. /12

2 circles : 1 heart

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Chuge%7B%5Cgreen%7D%5Cfcolorbox%7Bblue%7D%7Bcyan%7D%7B%5Cbf%7B%5Cunderline%7B%5Cred%7B%5C

MariettaO [177]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's find out the gradient (Slope " m ") of line q ;

$\qquad \sf \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$\qquad \sf \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}$

$\qquad \sf \dashrightarrow \:m = - 4$

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

$\qquad \sf \dashrightarrow \:y - 4 = m(x - 0)$

$\qquad \sf \dashrightarrow \:y = mx + 4$

Now, plug in the value of gradient ~

$\qquad \sf \dashrightarrow \:y = - 4x + 4$

here we can clearly observe that, the Area under the curve can easily be represented as :

$\qquad \sf \dashrightarrow \:y < - 4x + 4$

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0

2 years ago

2/3b 6+7=-1 <br><br> What is the value of b?

ZanzabumX [31]

Answer:

i dont know sorry

Step-by-step explanation:

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3 years ago

Marina’s bread recipe calls for 2/3 of a cup of flour. Which amount of flour represents the same amount?

Montano1993 [528]

Answer:

4/6

Step-by-step explanation:

this is going to be your answer because 2/6 is 1/3 cup and then 4/6 is 2/3 of a cup.

5 0

3 years ago