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just olya [345]
3 years ago
15

A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent

the costs of 1, 2, 3, 4 and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote.
Mathematics
1 answer:
Sonja [21]3 years ago
3 0
Scarves = 1.5 × hats

Let scarves be 'y' and hats be 'x'

y = 1.5x
2y = 2(1.5x)
3y = 3(1.5x)
4y = 4(1.5x)
5y = 5(1.5x)

The cost of 6 scarves and 6 hats  = 6x + 6(1.5x) = 6x + 9x = 15x
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Answer:

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3 0
3 years ago
Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x - 6|?. . . shift 6 units up. s
s2008m [1.1K]

Answer:

Shift 6 units right.

Step-by-step explanation:

Easiest way to answer this question is to plot the two graphs:

Let's plot these graphs and analyse each graph.

Lets take the graph of y=|x| that is attached.

We can clearly see that graph intersects x axis at x=0 and then essentially looks like y=x is mirrored by the y axis.

Now when we look at the y=|x-6| that is attached,

We can see that graph intersects x axis at x=6 and is a composite graph of y=|x-6| and its mirrored graph by y=6.

We can clearly see that graph has moved 6 units to the right.

8 0
3 years ago
Read 2 more answers
Please help, i have no idea how to do this
notsponge [240]

Answer:

  8 square units

Step-by-step explanation:

The figure is a trapezoid. The area of it is given by the formula ...

  A = (1/2)(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases and h is the distance between them.

Your figure shows the base lengths to be 5 and 3, and their separation to be 2. Filling the numbers in the formula, we have ...

  A = (1/2)(5 +3)(2) = (1/2)(8)(2) = 4·2 = 8

The area of the figure is 8 square units.

_____

The right-pointing arrows on the horizontal lines identify those lines as being parallel. The right-angle indicator and the 2 next to the dotted line indicate the perpendicular distance between the parallel lines is 2 units.

4 0
3 years ago
The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates and hire a box to ship
Viefleur [7K]

Answer:

16 crates

Step-by-step explanation:

-This is a division problem.

-Let x be the number of crates that will fit in to the box car.

-To solve x, we divide the volume of the boxcar by the volume of one crate:

V=lwh\\\\l=length\\w=width\\h=height\\\\V_{bc}=20m\times 3m\times 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m\times1.5m\times 2m\\\\=15\ m^3\\\\\therefore x=\frac{V_{bc}}{V_c}\\\\=\frac{240}{15}\\\\=16\ crates

Hence, 16 crates will fit in the boxcar.

6 0
4 years ago
3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?
OLEGan [10]

Answer:

y=\frac{1}{2} x+\frac{5}{2}

Step-by-step explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.  

\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}

So now we have the equation y=\frac{1}{2} x+b, and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

2=\frac{1}{2}(-1)+b

Rearrange the equation so it equals b

\frac{5}{2}=b

Put it together and that's the final equation!

y=\frac{1}{2} x+\frac{5}{2}

7 0
3 years ago
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