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4 years ago

The model represents an equation. What value of x makes the equation true?

Mathematics

1 answer:

ch4aika [34]4 years ago

8 0

Let's build the equation counting how many x's and 1's are there on each side.

On the left hand side we have 5x's and 8 1's, for a total of $5x+8$

On the left hand side we have 3x's and 10 1's, for a total of $3x+10$

So, the equation we want to solve is

$5x+8 = 3x+10$

Subtract 3x from both sides:

$2x+8 = 10$

Subtract 8 from both sides:

$2x=2$

Divide both sides by 2:

$x=1$

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Cho is making a rectangular garden, where the length is x feet and the width is 2x + 8 feet. He wants to add garden stones aroun

zmey [24]

Answer:

38 feet

Step-by-step explanation:

P(x) = ℓ(x) + ℓ(x) + w(x) + w(x)

= x + x + (4x - 1) + (4x - 1)

= (x + x + 4x + 4x) + (-1 -1)

= 10x - 2

P(4) = 10(4) -2 = 38

The perimeter is 38 feet when the length is 4 feet long, so Cho will need to

cover 38 feet with garden stones.

6 0

3 years ago

In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of th

IrinaVladis [17]

Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.

   (The side adjacent to angle C ) divided by (hypotenuse)

is the cosine of angle C .

(adjacent) / (10 inches) = cos(40 degrees)

Multiply each side by (10 inches):

      Adjacent side = (10 inches) x cos(40) =

(10 inches) x 0.766 =

7.66 inches (rounded)

6 0

4 years ago

Read 2 more answers

Solve absolute value equations and show work step by step please due tomorrow

Sergio039 [100]

Answer:

12) x = 10 or x = -10

13) b = 3 or b = -3.

14) r = 6 or r = -2

15) n = 0 or -2

Step-by-step explanation:

12) Given, 4|x| + 3 = 43

Now, for x ≥ 0, |x| = x and for x < 0, |x| = -x

So, for x ≥ 0, the equation becomes 4x + 3 = 43

⇒ 4x = 40

⇒ x = 10

Again, for x < 0, we have - 4x + 3 = 43

⇒ - 4x = 40

⇒ x = - 10

Therefore, the solution of the equation is x = 10 or x = -10. (Answer)

13) Given, 3|b| + 5 = 14

Now, for b ≥ 0, |b| = b and for b < 0, |b| = -b

So, for b ≥ 0, the equation becomes 3b + 5 = 14

⇒ 3b = 9

⇒ b = 3

Again, for b < 0, we have - 3b + 5 = 14

⇒ - 3b = 9

⇒ b = - 3

Therefore, the solution of the equation is b = 3 or b = -3. (Answer)

14) 9|2r - 4| + 1 = 73

Now, for 2r - 4 ≥0 i.e. r ≥ 2, then

9(2r - 4) + 1 = 73

⇒ 2r - 4 = 8

⇒ 2r = 12

⇒ r = 6

Again, for (2r - 4) < 0 i.e. r < 2, then

9(4 - 2r) + 1 = 73

⇒ 4 - 2r = 8

⇒ 2r = - 4

⇒ r = -2

Hence, the solutions are r = 6 and r = -2 (Answer)

15) For, 10n + 10 ≥ 0 i.e. n ≥ -1, then

1 + 4(10n + 10) = 41

⇒ 10n + 10 =10

⇒ 10n = 0

⇒ n = 0

Again, for 10n + 10 < 0 i.e. n < -1, then

1 - 4(10n + 10) = 41

⇒ 10n + 10 = - 10

⇒ 10n = -20

⇒ n = -2

Hence, the solution is n = 0 or -2 (Answer)

4 0

4 years ago

A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it

34kurt

Answer:

16 inches

Step-by-step explanation:

Note: it should say 56π inches instead of 56 inches otherwise no option is correct

Given

Diameter of the wheel = 16 in

Full circumference of the wheel

C =πd = 16π

Bike moves

56π

The wheel turns:

56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

3 0

4 years ago

Is 19.8 a rational or irrational

Llana [10]

It is rational................

3 0

4 years ago