MATHEMATICS HIGH SCHOOL

What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?

Answers

Answer 1

Answer: 7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.

Answer 2

Answer:

Answer:

$a=7$

Step-by-step explanation:

we have

$7(a-10)=13-2(2a+3)$

Solve for a

$7a-70=13-4a-6$

Group terms that contain the same variable and move the constants to the other side

$7a+4a=13-6+70$

Combine like terms

$11a=77$

Divide by $11$ both sides

$a=7$

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Write an equation for the line that is parallel to the given line and passes through the given point. y = x + 8; (2, 16) A. y = x + 14 B. y = x – 6 C. y = x + 6 D. y = x
Paloma has a flower stand at a farmer's market. On Tuesday, she sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 13 of the price. Evaluate a numerical expression to find out how much money Paloma made. Enter your answer in the box.Paloma has a flower stand at a farmer's market. On Tuesday, she sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 13 of the price. Evaluate a numerical expression to find out how much money Paloma made. Enter your answer in the box.
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The value of x is ____ °,and the value of y is____ °. this is really confusing help please..
PLEASE Find the equation of the line............................perpendicular to the line y= 5x -1 and passes through the points (10,8)

What is the approximate area of the shaded sector in the circle shown below? A) 26.5 cm^2 B) 11.78 cm^2 C) 5.89 cm^2 D) 53.0 cm^2

Answers

Step-by-step explanation:

Please recheck and possibly resend question as there is no circle shown.

Answer to 1+4=5 2+5=12 3+6=21 8+11=?

Answers

It appears that each consecutive answer is added to the next operation such that ((1+4)=5)+2+5=12, because 2+5=7, but when added to (1+4), the answer is 12, and so on.

Thus,
(1+4)=5 + (2+5)=12 + (3+6)=21 + (8+11)=40

the answer will be 19

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instruments 3 times, she was at her maximum depth of 60 feet. Which expression best represents Laurie's maximum depth? (4) (negative 5) (3) (Negative 4) (Negative 5) (Negative 3) (Negative 5) (20) (3) (Negative 5) (Negative 20) (Negative 3)

Answers

Complete question :

Answer:

(-5) * (20) * (3)

Step-by-step explanation:

Diving 5 feets deeper = descent = negative 5 Feets

Each time instrument is checked = (60/3) = depth of 20 feets

Number of times instrument is checked = 3

Hence, maximum depth :

Diving 5 feets deeper * Each time instrument is checked = depth of 20 feets * Number of times instrument is checked

(-5) * (20) * (3) = - 60

Answer:

Step-by-step explanation:

What does the law of cosines reduce to when dealing with a right triangle? A. The Pythagorean theorem B. The formula for a triangle's area C. The law of sines D. The formula for a triangle's area

Answers

Cosine law formula is:

$a^(2) = b^(2) + c^(2) - 2*b*c*cos(A)$

where A is an angle opposite from side a.
If angle a is 90 degrees that means that cos(90) is 0 which leaves us with
$a^(2) = b^(2) + c^(2)$

This is Pythagoras theorem where a is the hypothesis and b and c are smaller sides of triangle

Answer is A)

Estimate the value of the square root of 122 to the nearest interger

Answers

Hello,
without any calculator:
Let's x the square root of 122

121<x²<144 ==>11²<x²<12²
==>11<x<12
as 11.5²=11.5*11.5=132.25 ==>11<x<11.5
x is near 11 than from 12
Answer= 11.

14x=6y-12 put this in slope intercept form

Answers

Answer:

To put the equation 14x = 6y - 12 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.

Starting with 14x = 6y - 12, we can rearrange the equation as follows:

6y = 14x + 12

Dividing both sides of the equation by 6, we get:

y = (14/6)x + 2

Simplifying further, the equation can be written in slope-intercept form as:

y = (7/3)x + 2

So, the equation 14x = 6y - 12, in slope-intercept form, is y = (7/3)x + 2.

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