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3 years ago

the value of y is directly proportional to the value of x. If y=35 when x=140, what is the value of y when x=70 ?

1 answer:

6 0

There’s two ways to complete this problem.
First way:
Let’s see if y can be multiplied by anything to get to x. We should divide y by x.
35/140
.25
So it looks like y will be 1/4 of x.
Since we know that, we can find the value of y using this equation.
.25x=y
.25•70
17.5
So the value of y when x=70 is 17.5
Second way:
As you can tell, they want us to find the value of y when x is half of what it was before.
140:35
70:y
All we have to do is divide 35 by 2 since that’s what we did to the other side.
35/2=17.5
When x is 70, y is 17.5.

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Answer:

Your answer is 8

Step-by-step explanation:

First you have to convert the mixed number into an improper fraction. To do this, multiply the denominator by the whole number. Then add the numerator and put that answer in a fraction over the original. So it would be 3*5=15+1=16/3. So now that the denominators are the same, all you need to do is see how many times 2 goes into 16. 16/2 which is 8. Answer = 8

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3 years ago

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite

otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; John drives a stake opposite the tree to establish a line between two points

Step 2; John uses a compass to walk away from the stakes at a right angle

Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

Step 4; John drives a second stake in the ground

Step 5; John measures the the distance between the two stakes

Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$

The possible question options are;

John measures the the distance between the two stakes

John uses a compass to walk away from the stakes at a right angle

John multiplies the distance between the two stakes by 1.7 to find the distance

John drives a second stake in the ground

On the path John walks until he finds a line of sight to the tree that equals 60 degrees

John drives a stake opposite the tree to establish a line between two points.

Learn more about trigonometric ratios here:

brainly.com/question/13276558

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2 years ago

For the exponential equation <img src="https://tex.z-dn.net/?f=y%20%3D%203.4%280.66%29%5Ex" id="TexFormula1" title="y = 3.4(0.66

lisabon 2012 [21]

Answer:

Option: B is the correct answer.

B) Decay, y- intercept = 3.4, rate is 34%

Step-by-step explanation:

We are given an exponential equation as follows:

$y=3.4(0.66)^x$

We know that any exponential function of the type:

$y=ab^x$

is growth function if: b>1

and is a decay function if 0< b< 1

Hence, here we have: b=0.66<1

Hence, the function is a decay function.

Also, we know that the y-intercept of a function is the point where x=0

Hence, we take x=0

we have: $y=3.4\times (0.66)^0\\\\\\y=3.4$

Hence, the y-intercept is: 3.4

Also, the rate of a function is denoted by 'r'

where b=1-r

⇒ 0.66=1-r

⇒ r=1-0.66

⇒ r=0.34

Hence, the rate is: 34%

option: B is the correct answer.

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3 years ago