(8 x __) x 7 = 8 x (9 x 7)

Answers

Answer 1
Answer:

Answer:

the answer in the blank is 9

Step-by-step explanation:


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   add and simplify  9/16=1/2=?
The price of a dress is reduced by 6,5% in a sale. The original price of the dress was $56.Work out the sale price of the dress.
Suppose JK bisects angle LJM. The measure of angle LJK = (-10x + 3) and the measure of KJM = (-x + 21)º. Find the measure of angle LJM.

Flyball is a relay race for dogs. In each of the four legs of the relay, a dog jumps over hurdles, retrieves a ball from a fly box, and runs back over the hurdles. The distance of the relay race is 51 feet. The collie starts the course 0.3 second before the sheepdog. The collie is running 23.4 feet per second while the sheepdog is running 24 feet per second. a. Let t represent the time (in seconds) it takes the collie to un the last leg . Write and solve an equation to find the number of seconds after which the sheepdog would catch up with the collie.

Answers

It would take 11.7 seconds for the sheepdog to catch up with the collie.

To determine the number of seconds after which the sheepdog would catch up with the collie, knowing that the distance of the relay race is 51 feet, and the collie starts the course 0.3 second before the sheepdog, and the collie is running 23.4 feet per second, while the sheepdog is running 24 feet per second, the following calculation must be performed:

  • (23.4 x 0.3) = 7.02
  • 24 - 23.4 = 0.6
  • 7.02 + 23.4X = Y
  • 24X = Y
  • 7.02 / 0.6 = 11.7
  • 7.02 + 23.4 x 11.7 = 280.8
  • 24 x 11.7 = 280.8

Therefore, it would take 11.7 seconds for the sheepdog to catch up with the collie.

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What is the length of the altitude of the equilateral triangle below

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The length of the altitude of the equilateral triangle is 9 units.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Use the sin angle ratio and calculate,

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2 x a = 6√3 x √3

2a = 6 x √(3 x 3)

2a = 6 x 3

a = 6 x 3/2

a = 3 x 3 = 9

Therefore, the length of the altitude of the equilateral triangle is 9 units.

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Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2*a = 6√3 * √3

2a = 6 * √(3*3)

2a = 6*3

a = 6*3/2

a = 3*3 = 9

Option E.

Hope this helps.

How To Solve The Equation 3(x-6)=10x+3 ?

Answers

3(x-6)=10x+3

Expand the left side:

3x-18 = 10x + 3

Subtract 3x from each side:

-18 = 7x + 3

Subtract 3 from each side:

-21 = 7x

Divide each side by 7 :

-3 = x

3(x-6)=10x+3\n 3x-18=10x+3\n 7x=-21\n x=-3

_______ health insurance coverage pays for at least part of hospital costs and fees.

Answers


Basic health insurance covers the pays.

Which of the following points is on the graph of y = log1/2x?(1, 1/2)
(1/2, 1)
(0, 1)
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Answers

Answer:

(1/2,1) is on the graph of y=\log_(1/2)x

B is correct.

Step-by-step explanation:

Given: y=\log_(1/2)x

We are given a log function whose base 1/2.

Log property:

\log_aa=1

If base and mantissa is same then their value is 1

We need to choose correct point from the options.

Option 1: (1,1/2)

y=\log_(1/2)1 = 0

(1)/(2)\neq 1

False

Option 2: (1/2,1)

y=\log_(1/2)(1/2) = 1

1= 1

True

Option 3:

Log is not defined for x=0.

Hence, (1/2,1) is on the graph of y=\log_(1/2)x

(1/2,1) is the  points is on the graph of y = log1/2x?

What is the points

For (1, 1/2):

So, By Substituting x = 1 and y = 1/2 into the equation, we get:

1/2 = log₁/₂(1)

Since log of 1 to any base is always 0, the equation becomes:

1/2 is not equal to  1

In terms of Option 3: Log is not defined for x=0.

Therefore , (1/2,1) is on the graph of y = log1/2x?

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Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?

Answers

Answer:

To solve for the problem above, let x be the regular price of the shoe.

1/2x is the one-half price of the shoe then we add 6 for the pair of socks,

1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.

Step-by-step explanation: