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2 years ago

Hurry Please??? Also, you need to show the work, please!!!

Mathematics

2 answers:

kvv77 [185]2 years ago

7 0

The answer is x=9
Hope this helps

jekas [21]2 years ago

4 0

Answer: X = 9

Step-by-step explanation:

You need to solve for x then to check if it's true you

plug the value in x and solve the equation.

Check if the statement is true.

You might be interested in

Find 2 consecutive even integers such that twice the larger integer is four more than half of the smaller integer

solong [7]

Answer:

0 and 2

Step-by-step explanation:

Let the two consecutive integers be 2x and 2x+2

We are given that twice the larger integer is four more than half of the smaller integer

$2(2x+2)=\frac{1}{2}(2x)+4$

$4x+4=x+4$

$x=0$

So, Two consecutive integers are 2(0)=0 and 2(0)+2=2

Hence the two consecutive integers are 0 and 2

6 0

3 years ago

Ali spends 30% monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. I

Romashka [77]

Ali saves Rs 2576 every month

Step-by-step explanation:

Step 1: Given Ali's monthly salary = Rs 18400. Calculate the amount spent on food articles

Amount spent on food = 30% of 18400 = 30/100 × 18400 = Rs 5520

Step 2: Find the remaining amount.

Remaining amount = 18400 - 5520 = Rs 12880

Step 3: Find amount spend on conveyance and clothes

Amount spent on conveyance and clothes = 40% of 12880

= 40/100 × 12880 = Rs 5152

Step 4: Find his monthly savings.

Monthly savings = 50% of 5152 = 50/100 × 5152 = Rs 2576

5 0

3 years ago

Read 2 more answers

wants the perimeter of his rectangular garden to be, at most, 60 feet. He plans on making the length 19 feet. what is the maximu

Elina [12.6K]

Answer:

width = 11 feet

Step-by-step explanation:

The perimeter of a rectangle is 2 times length + width.

He already decided that the perimeter is at most 60 feet and the length is 19 feet. Then replacing in the formula for perimeter you have:

60 = 2 ( 19 + width)

30 = 19 + width

11 = width

Therefore the maximum width is 11 feet

3 0

3 years ago

A hot air balloon went from an elevation of 6,678 feet to an elevation of 3,438 feet in 48 minutes. What was its rate of descent

gregori [183]

Answer:

The rate of descent is $-67.5\frac{feet}{minute}$

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Let

x------> the time in minutes

y----> the elevation in feet

we have

$A(0,6,678)\ B(48,3,438)$

Substitute the values

$m=\frac{3,438-6,678}{48-0}$

$m=\frac{-3,240}{48}$

$m=-67.5\frac{feet}{minute}$

4 0

3 years ago

A basketball player stands near the middle of the court and throws the ball toward the basket.

kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

Step-by-step explanation:

General equation of parabola in vertex form $y= a(x-h)^2+k$

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

$y=a(x-18)^2+12$ ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So, $6=a(0-18)^2+12$

6=324a+12

-6=324a

$\frac{-6}{324}=a$

$\frac{-1}{54}=a$

Substitute the value in 1

So, $y=\frac{-1}{54}(x-18)^2+12$

Hence a function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

8 0

3 years ago