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2 years ago

Equation equivalent to 5x(3x+4)

Mathematics

2 answers:

Vika [28.1K]2 years ago

7 0

use the distributive property

5x(3x+4)

15x^2 +20x

defon2 years ago

4 0

Using distributive property, we can find that
15X^2+20X is the same as 5X(3X+4)

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Two parralel lines are cut by a transveral what is the measure of 8

dexar [7]

Answer:

its B... i think(sub2pewdiepie)

Step-by-step explanation:angle 4 is 100 degrees and 4 and 8 are corresponding

8 0

2 years ago

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Which expression has a value of 32 when m = 8? A. m-8 B. 4m C. m/2 D. M+8 ANSWER ASAP 20 POINTS QUICK

sergiy2304 [10]

Answer:

B. 4m

Step-by-step explanation:

What you do is you just take the 8 and put it into the m.

m-8, 8-8=0 so A isn't your answer.

4m, 4(8)=32 so B is your answer.

B. 4m is your answer.

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2 years ago

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) Tara earns twice as much per hour as Kayte.

Cerrena [4.2K]

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that $x = 2y$

Kayte earns $3 more per hour than Austin.

This means that $y = z + 3$

As a group, they earn $41 per hour.

This means that $x + y + z = 41$

What is Austin's hourly wage?

This is z.

$x + y + z = 41$

$y = z + 3$ and $x = 2y$ , so $x = 2(z + 3) = 2z + 6$

$x + y + z = 41$

$2z + 6 + z + 3 + z = 41$

$4z + 9 = 41$

$4z = 32$

$z = \frac{32}{4}$

$z = 8$

Austin's hourly wage is $8.

5 0

3 years ago

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Identify the center and radius from the equation of the circle given below. x^2+y^2+121-20y=-10x

Tcecarenko [31]

Answer:

Center: (-5,10)

Radius: 2

Step-by-step explanation:

The equation of the circle in center-radius form is:

$(x-h)^2+(y-k)^2=r^2$

Where the point (h,k) is the center of the circle and "r" is the radius.

Subtract 121 from both sides of the equation:

$x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121$

Add 10x to both sides:

$x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121$

Make two groups for variable "x" and variable "y":

$(x^2+10x)+(y^2-20y)=-121$

Complete the square:

Add $(\frac{10}{2})^2=5^2$ inside the parentheses of "x".

Add $(\frac{20}{2})^2=10^2$ inside the parentheses of "y".

Add $5^2$ and $10^2$ to the right side of the equation.

Then:

$(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4$

Rewriting, you get that the equation of the circle in center-radius form is:

$(x+5)^2+(y-10)^2=2^2$

You can observe that the radius of the circle is:

$r=2$

And the center is:

$(h,k)=(-5,10)$

6 0

2 years ago

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An area of 18 square feet that is 6 feet long and 3 feet wide. A rug covered 1/3 square foot tiles. How many tiles will the rug

Shkiper50 [21]

Answer:

The number of tiles the rug will cover is 54 tiles

Step-by-step explanation:

Here we have,

Total area covered by the rug = 18 ft²

Size of one tile = 1/3 ft²

Therefore the number of tiles that can fit into the the area is given by;

Total area of the rug ÷ Area of one tile

= 18 ft² ÷ 1/3 ft²

Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows

= 18 × 3/1 ft²/ft² = 54 tiles

The number of tiles the rug will cover = 54 tiles.

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2 years ago

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