Scott earns $16. 85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471. 80 b. $943. 60 c. $1,415. 40 d. $1,887. 20.

Answer:

(-10, 19)

Step-by-step explanation:

Hey there!

In order to find the value of x and y, you need to make a system of equations

Now the question says to use elimination

The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.

In this case, the step of making equal values is already done for us since there is 2y in both equations

[tex]-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\[/tex]

What was done was called elimination

I added both equations together and when you add -2y and 2y, they eliminate each other

Now when you simplify the system, you get that x is equal to -10

Now we can substitute this value into the first or second equation

I am going to do the first equation

[tex]-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19[/tex]

So after substituting the x value in the equation, we got the y value

Which is 19

So the solution to this system of equations is:

(-10, 19)

Answer:

{4,-8}

Step-by-step explanation:

x^2 -2x -28 = -6x +4

x^2+4x-32=0

(x-4)(x+8) =0

x=4 or -8

Answer:

100.32

Step-by-step explanation:

First, we have to find 14% of 88

14% of 88 is = 88 x 14/100

                  = 12.32

Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)  

88 + (14% of 88)

= 88 + 12.32

=100.32 pounds

Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

consider left side

[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]

= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]

= [tex]5^{\frac{4x}{6} }[/tex]

then

[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]

since the bases on both sides are equal, both 5 then equate exponents

[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24

The percentage of cupcakes sold that day were mocha flavoured will be 57%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The percentage will be calculated as:-

P  =  171  /  300

P =   0.57

P   = 0.57  x  100

P  = 57%

Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.

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Answer: He uses two litres of water for one litre of flour.

Step-by-step explanation:

Answer:

1.  54 and 9/20 km

2. 80 mm

3. 1.142 mi

4.0.83333 cm

Step-by-step explanation:

Do them all  by the butterfly method.

Answer:

5/3

Step-by-step explanation:

Given:

The question:

Rate formatted in miles per hour.

Which would be:-

5 miles per 3 hours

= 5/3

Answer:

option C

Step-by-step explanation:

hope this help u

Answer:

18 kilograms and 18000 grams

Step-by-step explanation:

the answer in kilograms is 18. the reason why is 6 puppies x 3 kilograms per = 18. Next we need to convert 18 kilograms to grams. 1 kilo = 1,000. multiply 18 x 1,000 = 18000 grams. Please let me know if this helped!!

Answer:

Volume: 37.7cm3

It will melt in 21 minutes.

Step-by-step explanation:

Volume of a sphere: 4/3 x pi x r^2

4/3 X pi x 3^2 = 37.7cm3

37.7/1.8=20.943 minutes

6x+1-(3x-1)

=3x+2

Answer:   yes  

Step-by-step explanation:

Answer:

No it is not a solution to 6u-1<-19

Answer:

347 and 865

Step-by-step explanation:

Let the two number be x and y

Therefore, from the given information:

x + y = 1212

x - y = 518

Rewrite both equations to make x the subject:

x = 1212 - y

x = 518 + y

Equate equations and solve for y:

1212 - y = 518 + y

     694 = 2y

         y = 347

Substitute found value of y into one of the equations and solve for x:

x = 518 + 347

x = 865

Therefore, the two numbers are 347 and 865

Answer:

The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.

Step-by-step explanation:

Answer:

I'm pretty sure that it's exponential but I'm still going over this topic in class.

Answer:

y = x + 9

Step-by-step explanation:

Since each x input can be added by 9 to get the y outputs, the equation is y=x+9
Hope this helps :)

Answer:

yes it is less then a right angle

Step-by-step explanation:

Answer:

370×1850= 6,84,500

and then

56,950+6,84,500=7,41,450

the population will be 7,41,450

The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.

Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.

Given:

The population of bacteria, P = 56950,

If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,

So, the no doubles 5 times in 1850 hrs,

Now if it doubles 1 time it will be 56950 × 2, and

for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2

P = 1822400

Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.

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7 in.3 hope it helps

Answer:

Simplifying th exprsssion brings it down to zero

Hope this helps

The volume of the films is the amount  of film in the case

The cost of the films is $810.41

The given paramerers are:

The mass of the films is calculated as:

Mass = Density * Volume

This gives

Mass = 7.6 * 965 g

Evaluate

Mass = 7334 g

Express as kg

Mass = 7.334 kg

The unit cost is:

Unit cost =  $0.34 per kilogram

The number of films is

n = 325

So, the total cost

Total = 325 * 0.34 * 7.334

Evaluate

Total = 810.41

Hence, the cost of the films is $810.41

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I will give some hints. We know most values, we have to solve for y as that is the remaining amount.

y = We have to find.

a = 550 mg (She takes this much)

r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)

t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.

I hope this helps!

range is the highest minus the lowest

Step-by-step explanation:

so a is 599- 132 = 467

for b median is the middle number 132 and 599

so u add them then divide by 2 so the answer of b is 365.5

Answer:

The first one

"Only Lillie is correct" that's the right answer.

Step-by-step explanation:

64^2/3 = 16

Answer:

350%

56/100 x 100/100

56x100/16 x 100 would equal 350/100