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Fantom [35]
3 years ago
15

Y and x vary directly. If the constant of variation is 1/2, then what is the value of y when x= -6

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

If x=-6, then y=-3

Further explanation:

Direct proportion means that if a quanitity increases the other quantity also increases and vice versa

The direct proportion is written as:

If y and x vary directly then

y∝x

y=kx

where k is the proportionality constant

If k=1/2 then the expression will be:

y=\frac{1}{2}x\\Putting\ x=-6\\y=\frac{1}{2}* (-6)\\y=-3

If x=-6, then y=-3

Keywords: Proportion, Constant

Learn more about proportion at:

  • brainly.com/question/9989708
  • brainly.com/question/10089477

#LearnwithBrainly

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Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?
Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

Total price = 180 + 9

Total price = $189

So, The total price is: $189

6 0
3 years ago
9x-23=49 what is the second step in this equation?
ladessa [460]

Answer:

Divide both sides by 9.

Step-by-step explanation:

To find the second step of the equation, we actually have to solve parts of the equation until we get to step 2.

Step 1: Add 23 to both sides.

  • 9x - 23 + 23 = 49 + 23
  • 9x = 72

Step 2: Divide both sides by 9.

  • \frac{9x}{9} = \frac{72}{9}
  • x = 8

Therefore, the second step is divide both sides by 9.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

5 0
2 years ago
If A=30°, a=12, b=28 how many triangles can be constructed?
Fofino [41]

Check the picture below.

recall the ambiguous SSA case, as the "12" side moves, it ends up with two supplementary angles on the base.

3 0
3 years ago
Please help me with this
goldenfox [79]
For part A, if P is the center of that triangle, then PR and PT have the same length; therefore, triangle RPT is isosceles.  For part B, by the definition of an incenter...if P is an incenter, then it is the place where all the angle bisectors meet.  Therefore, angles SRP and PRT are congruent, as are angles STP and PTR.  Since the vertex angle measures 64, then each of the base angles by the isosceles triangle theorem measure 58.  Half of 58 makes the base angles within the smaller triangle measure 29.  And if both of those measure 29, by the triangle angle-sum theorem, 180-29-29 = 122  And that's the measure of angle RPT.  Eek.
7 0
3 years ago
Can someone help me with this
loris [4]

Hello! Please mark Brainliest for the explanation!

Answer:

Area: 10 inches

Step-by-step explanation:

As the paper itself states, the area of a triangle would be

1/2bh

Simply plug the given values in!

1/2(5)(4) =

1/2(20)=

10

Have a wonderful day!

7 0
2 years ago
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