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WARRIOR [948]
3 years ago
7

Half of a number decreased by 27

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

"Half of a number decreased by 27" can be displayed as:

<u>1/2x - 27</u>

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you buy a container of cat litter for $12.25 and a bag of cat food for xx dollars. the total purchase is $19.08, which includes
Tpy6a [65]
1.06(12.25 + x) = 19.08
12.25 + x = 19.08/1.06 = 18
x = 18 - 12.25 = 5.75

Therefore, the cost of the cat food is $5.75
8 0
2 years ago
The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original
Zanzabum

Answer:

The original number could be 85.

Step-by-step explanation:

Let the 2 digits be x and y.

Let the number be xy then, assuming that x is the larger digit:

x - y = 3.

x = y + 3

Also

10y + x + 10x + y = 143

Substituting for x:

10y + y + 3 + 10(y + 3) + y = 143

22y + 33 = 143

22y = 110

y = 5.

So x = y + 3 = 8.

6 0
3 years ago
Read 2 more answers
Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to fin
Ahat [919]

I guess this reads

\displaystyle\int_1^4f(x)\,\mathrm dx=19

\displaystyle\int_1^4g(x)\,\mathrm dx=12

You want to compute

I=\displaystyle\int_1^4(8f(x)-g(x)+7)\,\mathrm dx

By linearity of the definite integral,

I=\displaystyle8\int_1^4f(x)\,\mathrm dx-\int_1^4g(x)\,\mathrm dx+7\int\mathrm dx

I=8\cdot19-12+7(4-1)=\boxed{161}

3 0
2 years ago
What percent of 19.5 is 70.59?
NeX [460]
70.59 is 363.846154% of 19.5.
4 0
3 years ago
Read 2 more answers
Clara created the poster shown below:
lana66690 [7]

Answer:

length=4\ cm\\width=6\ cm

Step-by-step explanation:

Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

w_1=24\ cm\\l_1=16\ cm

In order to calculate the dimensions of the rectangular  at \frac{1}{4} times its current size, you need to multiply the original lenght by \frac{1}{4} and multiply the original width by \frac{1}{4}.

Knowing this, you get:

w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm

6 0
3 years ago
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