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3 years ago

8

working as a waiter, Michael earns $6.50 per hour plus tips. last night he received $36.50 in tips and earned a total of $65.75.

how many hours did he work

1 answer:

pashok25 [27]3 years ago

3 0

Michael worked 4.5 hours. 65.75 - 36.50 = 29.25, therefore, Michael made $29.25 not including tips. 29.25/6.50 = 4.5

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Peter Schmidt ordered sandwiches and salads for a luncheon meeting. The sandwiches cost three times as much as a salads. The tot

evablogger [386]

EXPLANATION

Let's see the facts:

$Sandwiches= 3*$Salads

Bill = $24.92

We can represent this in an equation:

Total Bill = Sandwiches + Salads

Let's call to Sandwiches "x" to Salads "y" and to Bill "B"

Then, the equation will be:

B = x+y = (3*y) + y

Applying distributive property:

24.92 = 3y + y

Adding similar terms:

24.92 = 4y

Dividing both sides by 4:

6.23 = y

Switching:

y=6.23

As we know, y variable represent the salads cost, so:

Answer is $6.23.

3 0

1 year ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Natali [406]

Yo sup??

To solve this question we have to apply trigonometric ratios

sin31=UT/TV

TV=UT/sin31

=7.76

=7.8

Hope this helps.

6 0

3 years ago

Solve this problem please

djyliett [7]

The formula for depreciation is:

$y=x(1-r)^t$

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

$944 = 1040(1-r)^1$

944 = 1040 (1 -r)

$\frac{944}{1040} =1-r$ Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

$y = x (1- 0.09)^t$

So, $y = 0.91x^t$

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, $y= 1040 *(0.91)^{0.41667}$

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0

3 years ago

SOS if anyone could help that would be appreciated!!!❤️

Anastaziya [24]

Answer:

See below

Step-by-step explanation:

$2e)15-4x=10x+45$

Solve:

$15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}$ $3(x+1)=21$

Check:

$15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45$

$15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45$

$\dfrac{210}{7} =30$

$30=30$

$3a) 3(x+1)=21$

Solve:

$3(x+1)=21\\3x+3=21\\3x=18\\x=6$

$3b) 2+3(x+1)=6x$

$2+3x+3=6x\\5=3x\\$

$x=\dfrac{5}{3}$

$3c) -2(2x-3)=-2$

Solve:

$-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2$

3 0

3 years ago

Can anyone help me I was self isolating when my class was taught this and I can't get in contact with my teacher

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

3x +2y = 13 -----------------(i)

x + 2y = 7 ----------------(ii)

Multiply the equation (ii) by (-1) and then add.

(i) 3x + 2y = 13

(ii)*(-1) <u>-x - 2y = -7 </u> {Now, add and y will be eliminated}

2x = 6

x = 6/2

x = 3

Plug in x = 3 in equation (i)

3*3 + 2y = 13

9 + 2y = 13

2y= 13 - 9

2y = 4

y = 4/2

y = 2

5 0

3 years ago

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