What is the sum of −3x+6−3x+6 and 7x−87x−8 ?

Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg. How many toys did

Vilka [71]

Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.

Let the number of toys Oleg has = x

Let the number of toys Sasha has = y

Let the number of toys Dima has = z

Sasha had twice as many toys as Oleg

So y = 2*x= 2x

Dima had 40 more toys than Oleg.

z = x + 40

Oleg, Sasha, and Dima shared 600 toys

x + y + z= 600

We know y=2x and z=x+40

Replace it for y and z

$x + y + z = 600$

$x + 2x + x + 40 = 600$

$4x + 40 = 600$

Subtract 40 on both sides

$4x = 600 - 40$

Divide by 4 on both sides

$x = \frac{560}{4} = 140$

Oleg had 140 toys

4 0

4 years ago

4. A triangle has vertices (-2,-3) (3,5) and (8,-1) .

Hatshy [7]

Given:
Vertex 1 (-2,-3)
Vertex 2 (3,5)
Vertex 3 (8,-1)

Reflection across the x-axis rule (x,y) → (x -y)
Vertex 1 (-2,-3) → (-2,-(-3)) → (-2,3)
Vertex 2 (3,5) → (3,-5)
Vertex 3 (8,-1) → (8,-(-1)) → (8,1)

Rotation 90° clockwise (x,y) → (y,-x) *I'm assuming the original triangle was rotated and not the reflection.
Vertex 1 (-2,-3) → (-3,-(-2)) → (-3,2)
Vertex 2 (3,5) → (5,-3)
Vertex 3 (8,-1) → (-1,-8)

7 0

3 years ago

Read 2 more answers

TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the b

Iteru [2.4K]

Answer:

The answer is 65.75

Step-by-step explanation:

Since tq is perpendicular to PR then qtsr becomes square

Then

$qr = 30 \: \: \: \: \: and \: qt = 30 \\$

Since the triangle pqt is right angled

Then

$pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75$

Then the height of the pole is equal to

$pq + qr = 35.75 + 30 = 65.75$

4 0

3 years ago

Simplify the expression left parenthesis (3/5)2

koban [17]

6 because if you multiply (3/5)2 you get 6

8 0

3 years ago

Find the surface area of the figure using the net shown. The area of the figure is yd2

geniusboy [140]

Answer:

Surface area = 233 yards²

Step-by-step explanation:

The surface area of the figure below is the sum of the area of each faces. This means the total surface area of the figure.

The figure has 4 triangle and 1 rectangle. The surface area will be the sum of area of the rectangle and the area of the 4 triangles.

surface area = base area(rectangle) + 2(area of similar triangle) + 2(area of similar triangle)

Base area

area of the rectangle = length × breadth

area of the rectangle = 16 × 5 = 80 yards²

Area of the 2 similar triangle

area of triangle = 1/2 × base × height

area of triangle = 1/2 × 5 × 5

area of the triangle = 25/2 = 12.5

For the 2 similar triangle = 12.5 × 2 = 25 yard²

Area of the other 2 similar triangle

area of a triangle = 1/2 × base × height

area = 1/2 × 16 × 8 = 128/2 = 64 yards²

For the 2 similar triangle = 64 × 2 = 128 yards²

Surface area = 80 yards² + 25 yard²+ 128 yards² = 233 yards²

7 0

3 years ago