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Natasha2012 [34]
3 years ago
15

In a sale, all normal prices are reduced by 15%

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

The normal price of mixer is $150.

Step-by-step explanation:

Given that:

Normal prices are reduced by 15% in sale.

The normal price of mixer is reduced by $22.50

It means that it is the amount of discount.

Let,

x be the normal price of the mixer.

15% of x = 22.50

\frac{15}{100}x=22.50\\0.15x=22.50

Dividing both sides by 0.15

\frac{0.15x}{0.15}=\frac{22.50}{0.15}\\x=150

Hence,

The normal price of mixer is $150.

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lorasvet [3.4K]

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

<span />

(fog)(x) = f(g(x)

             = f(x+3)

               = 2(x+3)

               = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

            = g(2x)

           = 2x + 3

==> <span>(gof)(x) = 2x + 3</span>

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3 years ago
I am an odd number. Take away one letter and I become even. What number am I?
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seven

Step-by-step explanation:

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What is the total number of common tangents that can be drawn to the circles?
erastovalidia [21]

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B. 0

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6 0
3 years ago
I need help with this problem.<br><br>​
Maksim231197 [3]

Answer: y = -1/4x - 4

Step-by-step explanation:

y = (-1/4)x + 2 (This is the first linear function.)

(4,3) has slope of (-1/4)x  or (1/-4)x

4(y2) - 4(y1= the new y  -1(x2) -3(x1) = new x which leads to (0,-4) so y-intercept = -4

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6 0
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Read 2 more answers
John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to
Otrada [13]

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

(15-x)\text{ kph}

Speed of water in downstream

(15+x)\text{ kph}

Relation:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel  140 km downstream

\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

4 0
3 years ago
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