MATHEMATICS
COLLEGE

Answer:

The two numbers are 53/6 and -55/6.

What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

We have sum of them is -1/3

x + y = -1/3 [Equation 1]

The difference of two numbers is 18.

x - y = 18 [Equation 2]

Adding equations 1 and 2,

x + y + x - y = -1/3 + 18

2x = 18 -

2x = 53/3

x = 53/6

Substituting the value in equation 1,

53/6 + y = -1/3

y = -1/3 - 53/6

= -55/6

Hence the numbers are 53/6 and -55/6.

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Answer: X+y=-1/3

x-y=18

solve the system of equation:

equation 1 + equation 2: 2x=17&2/3=16&5/3

x=8&5/6

y=-1/3 -8&5/6=-8&7/6=-9&1/6

x=

x-y=18

solve the system of equation:

equation 1 + equation 2: 2x=17&2/3=16&5/3

x=8&5/6

y=-1/3 -8&5/6=-8&7/6=-9&1/6

x=

MIDDLE SCHOOL

y + 7 = - 2/5 * (x - 10) . What is theThe point-slope of the equation of the line that passes through (- 5, - 1) and (10, - 7) is standard form of the equation for this line? 2x - 5y = - 15 2x - 5y = - 17 2x + 5y = - 15 2x + 5y = - 17

Answer:

The Standard Form of the Equation is A. 2x - 5y = -15

Step-by-step explanation:

Given points: (-5, -1) and (10, -7).

Find the slope:

m = (y - y1)/(x - x1)

= -1 - (-7)/-5 - 10

= -1 + 7/-15

= 6/-15

m = -2/5

You already had the point slope form:

y - y1 = m(x - x1)

y - (-7) = -2/5(x - 10)

y + 7 = -2/5(x - 10)

The rest of the question is looking for the standard form of the equation:

Ax + By = C

Begin by solving the point slope form for y:

y + 7 = -2/5x + 20/5

y + 7 = -2/5x + 4

y = -2/5x - 3

Now, put the equation into the standard form:

y + 2/5x = -3

Multiply by 5, and place x first:

2x + 5y = -15, the Standard form of the Equation

Prove by setting x = 0 and finding the y intercept:

5y + 2(0) = -15

5y = -15

y = -3, giving the y intercept, when x = 0 as -3 or (0, -3)

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COLLEGE

4. A restaurant bill for a group of people comes to a total of $125. This amount

included an 8% sales tax and a 20% tip, both based on the price of the food.

Which equation could be used to find f, the cost of the food?

Ar 125 = 0.28f

Br 125 = 1.08f +0.20

C.) 125 = f +0.28

D., 125 = 1.28f

The answer is D). 125 = 1.28f. This accounts for both sales tax and the cost of food.

HIGH SCHOOL

Mary Stevens earns $6 an hour at her job and is entitled to time-and-a-half for overtime and double time on holidays. Last week she worked 40 hours of regular time, 61/2 hours of overtime, and 8 hours of holiday time. How much did she earn? A. $140.00 B. $394.50 C. $190.75 D. $74.37

Answer:

She earned $394.50

Step-by-step explanation:

- Hourly income of Mary Stevens in regular hours = $6
- Hourly income of Mary Stevens in over-time =
- Hourly income of Mary Stevens in holidays =

Then, last week she worked

- 40 hours of regular time, earnings =
- hours of overtime, earnings =
- 8 hours of holiday time, earnings =

Hence, her total earnings = 240+58.5+96 = $394.50

The answer is B. 394.5

6 X 40 for regular time = 240

and then if you add in the overtime and holiday time the answer will be more than 240 and the only answer above 240 is B

6 X 40 for regular time = 240

and then if you add in the overtime and holiday time the answer will be more than 240 and the only answer above 240 is B

MIDDLE SCHOOL

An airplane on autopilot took 5 hour to travel 3,475 kilometers what was the airplane speed in kilometers per hour

Answer:

the speed of the aeroplane is 695 km/h.

Step-by-step explanation:

Distance traveled=3475 km

Time taken = 5 hours

Speed of airplane= Distance / Time

= 3475/5= 695 km/h

HEnce the speed of the aeroplane is 695 km/h.