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3 years ago

9

Suppose two distinct parallelograms lie in a plane. What is the LARGEST number of points at which they can intersect?

1 answer:

Bumek [7]3 years ago

3 0

When two distinct parallelograms lie on a plane, the largest number of points at which they meet or intersect is 8. (see attach file to count the intersections of the 2 parallelograms).

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A newspaper and three hot chocolates cost $7. Two newspapers and two hot chocolates cost $6. How much does one hot chocolate cos

pochemuha

Answer:

the cost of one hot chocolate is $2.

Step-by-step explanation:

Let x be the hot chocolate cost and y be the newspaper cost.

Given:

A newspaper and three hot chocolates cost $7

So, the equation is

$3x+y=7$ --------(1)

Two newspapers and two hot chocolates cost $6

So, the second equation is.

$2x+2y=6$ ---------(2)

Find one hot chocolate cost?

Solve equation 1 for y.

$3x+y=7$

$y=7-3x$

Put y value in equation 2

$2x+2(7-3x)=6$

$2x+14-6x=6$

$14-4x=6$

$-4x=6-14$

$-4x=-8$

negative sign is cancelled both side.

$x=\frac{8}{4}$

$x=2$

Therefore, the cost of one hot chocolate is $2.

3 0

3 years ago

Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moth

AveGali [126]

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

$Width = 5ft$

$Length = 4ft$

$Height = 8ft$

The second has the following dimension:

$Width = 3ft$ ---- see the last label at the top

$Length = 2ft$ --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

$Height = 8ft$

So: The volume of the closet is:

$Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2$

$Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft$

$Volume = 160ft^3 + 48ft^3$

$Volume = 208ft^3$

The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)

$Boxes = \frac{208ft^3}{32ft^3}$

$Boxes= \frac{208}{32}$

$Boxes = 6.5$

7 0

3 years ago

9.12cm<br> 10.36cm<br> 11.34cm<br> 12.61cm

Vinvika [58]

Tan80 = QR / RS
QR = 5.67 (2)
QR = 11.34

answer

<span>11.34cm</span>

8 0

3 years ago

Which statement best describes the relationship between the number of chores completed and the number of hours spent on the inte

Maksim231197 [3]

C. For every decrease of one chore completed, one hour was spent on the internet.

4 0

3 years ago

What is 3/15 times 3/8 in fraction form?

bekas [8.4K]

Answer:

9/40

Step-by-step explanation:

3/5 * 3/8 = 9/40

5 0

3 years ago