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3 years ago

There are 60 tables in a restaurant, with 25% of them seating 2 people.

1 answer:

7 0

Hello! So, 25% of the 60 tables seat two people. To find this number, multiply 60 by 25%. 60 * 25% (0.25) is 15. 15 of them seat 2 people and 15 * 2 is 30.The other 45 tables seat 4 people. When you multiply both number, you get 180. Now, let's add the numbers together. 180 + 30 is 210. There are 210 seats in the restaurant. The answer is C: 210.

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Two lemon creams plus four fudge cookies have 450 calories. Four lemon creams plus two fudge cookies have 420 calories. How man

Gnoma [55]

Answer:

Each fudge cookie has 80 calories.

Each lemon cream has 65 calories.

Step-by-step explanation:

We will let $\ell$ represent the calories in lemon creams and $f$ represent the calories in fudge cookies.

Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:

$2\ell+4f=450$

And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:

$4\ell+2f=420$

We now have a system of equations. We can solve this by elimination.

For the first equation, we can multiply both sides by -2. This way, the $\ell$ will cancel when we add the two equations together.

So, the first equation becomes:

$-4\ell-8f=-900$

Add this to the second equation. Hence:

$(-4\ell+4\ell)+(-8f+2f)=(-900+420)$

Simplify:

$-6f=-480$

Divide both sides by -6. Hence:

$f=80$

So, there are 80 calories in one cookie.

We can use the first equation again to find the amount of calories in one cream. We have:

$2\ell+4f=450$

Substituting 80 for $f$ yields:

$2\ell+320=450$

Then it follows that:

$\ell=65$

So, there are 65 calories in each lemon cream.

5 0

3 years ago

Read 2 more answers

Mr.Evans is paid $9.20 per hour for the first 40 hours he works in a week.He is paid 1.5 times that rate for each hour after tha

yKpoI14uk [10]

Answer:

I do not agree. If Mr. Evans worked 42.25 at a rate of $9.20 per hour for the first 40 hours and 1.5 times that rate after, he would have made a total of $399.05.

Step-by-step explanation:

In order to find the total amount that Mr. Evans would have earned last week, we need to first calculate how much he earned in his regular pay at 40 hours. For up to 40 hours, Mr. Evans makes $9.20 per hour, so his total wages earned after 40 hours is: 40 x 9.2 = $368.00. However, Mr. Evans also worked 2.25 hours of overtime at a rate of 1.5 times $9.20 or 9.2 x 1.5 = $13.80. At $13.80 for 2.25 hours, Mr. Evans would earn: 13.80 x 2.25 = $31.05. When you add his base pay of $368.00 plus his over time pay of $31.05, you get a total of $399.05.

8 0

3 years ago

Solve for x.<br><br> 2003-05-04-00-00_files/i0060000.jpg

icang [17]

Given the equation: (km / 3) - 2x = 4, it is essential to isolate x to obtain the expression to solve it. This is done below:

(km / 3<span>) - 2x = 4
</span>
Adding 2x to both sides:

(km / 3<span>) - 2x + 2x = 4 + 2x
</span>(km / 3<span>) = 4 + 2x
</span>
Subtracting 4 from both sides:

(km / 3<span>) - 4 = 4 + 2x - 4
</span>(km / 3<span>) - 4 = 2x
</span>
Dividing 2 from both sides:

[(km / 3<span>) - 4] /2 = 2x /2
</span>[(km / 3<span>) - 4] /2 = x
</span>x = (km / 6) - 2

8 0

3 years ago

Calculate the fraction of this recurring decimal.

Agata [3.3K]

<h3>Answer: 76/4995</h3>

========================================================

Explanation:

x = 0.0152152...

10x = 0.152152...

10000x = 152.152...

Subtract the last two equations to find that

10000x-10x becomes 9990x on the left side
152.152... - 0.152152... becomes 152 on the right side

We're left with the equation 9990x = 152 which solves to x = 152/9990

Divide both parts of that fraction by 2 so that the fraction fully reduces to 76/4995 which is the final answer

You can use your calculator to see that 76/4995 = 0.0152152152152... which confirms the answer.

8 0

3 years ago

PLEASE HELP ME AS SOON AS POSSIBLE

ZanzabumX [31]

The parent function of g(x) = |x - 7| +6 is f(x) = |x|

<h3>How to determine the parent function?</h3>

The function is given as:

g(x) = |x - 7| +6

The above function is an absolute function, and the parent function is f(x) = |x|

Hence, the parent function of g(x) = |x - 7| +6 is f(x) = |x|

<h3>The reflection</h3>

When f(x) is reflected across the x-axis, we have:

f'(x) = -|x|

When f(x) is reflected across the y-axis, we have:

f'(x) = |x|

<h3>Stretching and Compression</h3>

When f(x) is stretched horizontally by a factor k

g'(x) = |kx|

When f(x) is stretched vertically by a factor k

g'(x) = k|x|

<h3>Horizontal Shift</h3>

When f(x) is shifted horizontally by k units

f'(x) = |x ± k|

<h3>Vertical Shift</h3>

When f(x) is shifted vertical by k units

f'(x) = |x| ± k

See attachment for the graph of g(x)

Read more about function transformation at:

brainly.com/question/

#SPJ1

3 0

2 years ago