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4 years ago

9

A pack of gum cost 75 cents. That is 3 cents less that three times what the pack costs 20 years ago. Write and equation to find

the cost of gum 20 years ago.

1 answer:

DanielleElmas [232]4 years ago

5 0

Answer:

26 cents

Step-by-step explanation:

let x=pack of gum cost 20 years ago?

3x-3=75

3x=78

x=26

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There is a line that includes the point (4, 1) and has a slope of 1/4. what is its equation in

Lelechka [254]

Answer:

y=1/4x

Step-by-step explanation:

y=mx+b

m=1/4

so, y=1/4x+b

Now, look at our line's equation so far: . b is what we want, the 1/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,1).

So, why not plug in for x the number 4 and for y the number 1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,1). y=mx+b or 1=1/4 × 4+b, or solving for b: b=1-(1/4)(4). b=0.

y=1/4x+0

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3 years ago

The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of X.

leonid [27]

Pretty sure the equation is 4x-3=63 to solve for X.

1. Add three on both sides to get 4x=63

2. Then divide 4 on both sides, getting x=15

3 0

3 years ago

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In a circle, a 90-degree sector has area 196 pi in^2. What is the radius of the circle?

o-na [289]

Answer:

The radius of the circle is $28\ in$

Step-by-step explanation:

we know that

In a circle, a 90-degree sector represents a quarter of the circle area.

The area of a quarter circle is equal to

$A=\frac{1}{4}\pi r^{2}$

we have

$A=196\pi\ in^{2}$ ----> area of a quarter circle

so

$196\pi=\frac{1}{4}\pi r^{2}$

Simplify

$r^{2}=196*4$

$r=28\ in$

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3 years ago

A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area o

vagabundo [1.1K]

Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area = $Length \times breadth = 4 \times 3 = 12 sq.m.$

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

We are given that total cost of framing and fencing is 38

So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area = $Length \times breadth = 6 \times 2 = 12 sq.m$ .

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = $Length \times breadth = 3 \times 5 = 15 sq.m.$

Cost of 1 sq.m. = 2

Cost of 12 sq.m. = $15 \times 2 = 30$

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

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3 years ago

5 dollars is 1/3 of how much money?

Elena-2011 [213]

Answer:

15

Step-by-step explanation:

5*3

= 15

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3 years ago

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