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3 years ago

2. Given points A(3, -5) and B(19,-1), find the coordinates of point C such that he =

Mathematics

1 answer:

natka813 [3]3 years ago

7 0

Post a picture to see the example of point C

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an

Mkey [24]

Answer:

120 pens and 200 pencils.

Explanation:

You can set a system of two equations.

1. Variables

x: number of pens
y: number of pencils

2. Cost

each pen costs $1, then x pens costs: x
each pencil costs $0.5, then y pencil costs: 0.5y

Then, the total cost is: x + 0.5y

The cost of the whole purchase was $ 220, then the first equation is:

x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

pencils = 80 + pens

↓ ↓

y = 80 + x ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

x + 0.5(80 + x) = 220

ii) Solve

x + 40 + 0.5x = 220

1.5x = 180

x = 180/1.5

x = 120 pens

iii) Substitute x = 120 into the equation (2)

y = 80 + 120

y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

6 0

3 years ago

2.–/1 pointsMy Notes

Hitman42 [59]

What is "b" ???????????

6 0

3 years ago

I bombed this test plz help.

Eddi Din [679]

Step-by-step explanation:

a = -52 - b / 4

b = -52 - 4a

plz mark my answer as brainlist plzzzz. hope this will be helpful to you .

5 0

3 years ago

There are 3 boys for every 4 girls in Mrs. G.'s math class.

Mars2501 [29]

Answer:

12 Step-by-step explanation:

3 0

3 years ago

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3year

Paha777 [63]

Answer:

Step-by-step explanation:

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum

The formula for Simple Interest = PRT

From above question, we have to find the Principal

The simple interest on a certain sum for 5years at 8% per annum is Rs200

Hence,

R = 8%

T = 5 years

Rs 200 = P × 8% × 5

P = 200/8% × 5

P = Rs500

The principal = Rs 500

The simple interest on the same sum for 3years and 4months at 18% per annum.

Simple Interest = PRT

R = 18%

T = 3 years and 4 months

Converted to years

T = 3 + (4 months/12 months)

T = 3.33 years

Hence,

Simple Interest = Rs 500 × 18% × 3.33 years

= Rs 299.7

7 0

3 years ago