All categories

3 years ago

Kyle earned 4 times as much as Ken last summer. If they earned a total of $750, how much did they each earn?

Mathematics

1 answer:

Sholpan [36]3 years ago

6 0

Answer:

600, 150

Step-by-step explanation:

Kyle is x

ken is y

x = 4y

x+y = 750

replace x with 4y

4y + y = 750

5y = 750

y = 150

so ken earned 150

x + 150 = 750

x = 600

so Kyle earned 600

You might be interested in

What is the value of X?

Leviafan [203]

Answer:

w = 31

Step-by-step explanation:

To find the value of w:

We know that the three angles in a triangle add to 180 degrees

w + w + (4w-6) =180

Add like terms

6w-6 = 180

Add 6 to each side

6w -6+6 =180+6

6w = 186

Divide each side by 6

6w/6 = 186/6

w = 31

7 0

3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

Write the equation for:

xenn [34]

Answer:

$\frac{1}{2} x +x = 2 (x-4)$

Step-by-step explanation:

Suppose number is x

Following equation can be written from question statement

$\frac{1}{2} x +x = 2 (x-4)$

Simplifying it further

$\frac{3}{2} x = 2x-8$

$\frac{3}{2} x -2x=-8$

$\frac{3x-4x}{2}= -8$

$-x= -16\\x=16$

7 0

3 years ago

Can u help with these two

Artemon [7]

The volume of a rectangular prism can be given by the form
$V= b*h*w$

you know Volume, base, and height but you dont know width

so divide b and h to both sides
$\frac{V}{b*h} = w$
and you cna solve for width

now for 6.
dividing by a number is the same as multiplying by its reciprocal

$n \div 6 = n * \frac{1}{6}$

8 0

3 years ago

Read 2 more answers

Imagine the center of the Singapore Flyer ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-a

stealth61 [152]

The equation of the circle is x² + y² = 25 and the transformation equation of the circle is x² + y² = 100.

<h3>What is the equation of the circle?</h3>

The following parameters are derived from the question:

(x - a)² + (y - b)² = r²

Center (a, b) = (0, 0)

Radius (r) = 5

Then the equation of the circle will be

x² + y² = 5²

x² + y² = 25

Then the transformation of the circle will be

Center (a, b) = (0, 0)

Radius (r) = 10

Then the equation of the circle will be

x² + y² = 10²

x² + y² = 100

More about the equation of circle link is given below.

brainly.com/question/10618691

#SPJ1

6 0

2 years ago