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3 years ago

ANSWER SUPER QUICK

Mathematics

1 answer:

faltersainse [42]3 years ago

3 0

Answer: The required equation is $x=(7\times12-34.5)\div8\frac{1}{4}$

Maria can cut 6 sections from the remaining rope.

Step-by-step explanation:

The total length of rope = 7 feet

since 1 feet = 12 inches

Therefore, 7 feet= $7\times 12=84\ inches$

Let x be the number of sections.

Since the instructions are to use 34.5 inches of rope to tie a tarp on top the the tent. Then, the remaining rope should be cut 8 1/4 inch sections to tie tent to stakes in the ground.

then the required equation will be

$x=(7\times12-34.5)\div8\frac{1}{4}\\\Rightarrow\ x=(84-34.5)\div \frac{33}{4}\\\Rightarrow\ x=49.5\div8.25\\\Rightarrow\ x=6$

So, maria can cut 6 sections.

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If <br> B is the midpoint of AC, AB=x+6 and AC=5x-6, then what is BC?

nikklg [1K]

If B is the midpoint of AC, then AB=BC. It is also BC=AC-AB

AB = x + 6

AC = 5x - 6

BC = (5x - 6) - (x + 6)

We can kinda use distributive property, like this:

BC = 5x - 6 -x - 6

Combine like terms:

BC = 4x - 12

To verify, we can add AB and BC to see if their sum is equal to AC.

(x + 6) + (4x - 12) = 5x - 6

If we are correct, this equation will be true.

x + 6 + 4x - 12 = 5x - 6

Combine like terms:

6 + 5x - 12 = 5x - 6

5x - 6 = 5x - 6

It's correct!

BC = 4x - 12. Final Answer.

Let me know if you have any questions about this! :)

7 0

2 years ago

For the quadrilateral ABCD, E and F are midpoints of sides AD and BC respectively. AB = 15, BC = 29, CD = 34, AD = 11, and

uranmaximum [27]

Answer:

Step-by-step explanation:

7 0

2 years ago

Draw to show how you can use models to compare a 345 and 391

natali 33 [55]

345= 3 hundreds, 4 tens, and 5 ones
391= 3 hundreds, 9 tens, and 1 one
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Hope this helps!

6 0

3 years ago

Please help me solve the expression for “n”

Bingel [31]

Answer:

n = 2

Step-by-step explanation:

In order for the ratio to have a value of 1, the sum of exponents in the numerator must equal the sum of exponents in the denominator:

n + 7 = 9

n = 9 -7 . . . . . . subtract 7 from both sides of the equation

n = 2

___

Alternatively, you can simplify the given expression:

$\dfrac{9^n(9^7)}{9^9}=1=\dfrac{9^n}{9^2}$

Hopefully, it is clear to you that the value of n must be 2 in order to make the numerator equal to the denominator.

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3 years ago

The cars (seats) of a Ferris wheel are positioned 74 feet from its center. If the Ferris wheel makes 4 revolutions every 4 minut

Nataliya [291]

The linear speed of one of the cars is 7.75 feet per second

The cars (seats) of a Ferris wheel are positioned 74 feet from its center.

The radius, r = 74 feet

The Ferris wheel makes 4 revolutions every 4 minutes

Number of revolutions per minute = 1

Angular speed, w = 1 rev/min

Angular speed, w = 0.10472 rad/sec

The relationship between the linear speed (v), and the angular speed (w) is:

v = wr

Substitute w = 0.10472 and r = 74 feet into the formula:

v = 0.10472 x 74

v = 7.75 feet per second

The linear speed of one of the cars is 7.75 feet per second

Learn more on linear speed here: brainly.com/question/4357151

7 0

2 years ago