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inysia [295]
3 years ago
7

Running at the same constant rate, 5 identical machines can produce one lot containing a certain number of toys per hour. At thi

s rate, how many toys could 8 machines produce in 1/2 hours?
Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

1.6\cdot{x}

Step-by-step explanation:

If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:

Here the machines are constant and the rate is x toys per hour:

If 5 machines make x per hour:

Rate is x/1 hour

The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:

Rate for 5 machines is x and for 8 machines is y:

y=1.6\cdot{x}

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If 7 people paid $3 per ride and road 5 times, it would be $21 dollars. You could do it 3×5=15+7=21
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3 years ago
32 1/8% as a fraction in simplest form.
Ghella [55]
32's 1/8 = 32/8 = 4
This is the simplest form
8 0
3 years ago
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Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E
zalisa [80]

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

3 0
2 years ago
A blender that normally costs $130 is on sale for 12% off. What is the final cost of the blender if there is also an 8% sales ta
polet [3.4K]

Answer:

$105.25

Step-by-step explanation:

First we need to know to price of the blender after the sale, so we are going to pay the 88% of the blender's price so the final price without the sale tax is going to be

\$130\times .88=\$ 114.4      (1)

Knowing this price we need to calculate the 8% of the total price

\$ 114.4 \times .08=\$ 9.152    (2)

We substract the result (2) from (1)

\$ 114.4 - \$ 9.152 = 105.248

Rounding this number to nearest cent the final result is:

$105.25

8 0
3 years ago
Moussa is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $0.75 per
diamong [38]

Answer:

$4.25

Step-by-step explanation:

.75 x 3 +2 +4.25

8 0
2 years ago
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