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Leviafan [203]
3 years ago
7

In a marathon, hamish had run a total distance of 11/12 mile. He ran 4/5 of the distance. How many miles did he run ?

Mathematics
1 answer:
adoni [48]3 years ago
7 0
If 11/12 mile is 4/5 of the total distance, he would run 11/12×5/4=55/48 miles.
If the total length of the run is 11/12 mile and Hamish runs 4/5 of this then he runs 4/5×11/12=11/15 mile.
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Solve the system of equations using the substitution method.y=2,2x+y=8
OlgaM077 [116]

Answer:

x=3

Step-by-step explanation:

2x+2=8

2x=6

x=3

3 0
3 years ago
Read 2 more answers
A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca
klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee

⇒ y=0.50(x)+1   ...equation (i)

Slope- intercept form: y=m(x) +b  m is the slope and b is the y-is   intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ m=0.50  and  b=1

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0
3 years ago
The perimeter of a triangle is 53 feet. One side of the triangle is 12 feet shorter than the second side. The third side is is 4
grandymaker [24]

Let the shortest side be = a, then side b = 2·a and side c = (b + 24)

We are given that a + b + c = 84

Substituting for b and c

a + 2·a + (a + 24) = 84

4·a + 24 = 84

4·a = 84 - 24 = 60

a = 60/4 = 15 feet

b = 2·15 = 30 feet

c = 15 + 24 = 39 feet


sorry if i am wrong

6 0
3 years ago
Read 2 more answers
The cake density is 0.454 ounce per cubic inch and the fair price is $0.20 per ounce. What should be a fair price for each cake?
aleksklad [387]

Answer:

price = x * 0.2

or

price = x * 0.454 * 0.2

Step-by-step explanation:

In this case we must know either the mass of the cake or its volume.

Given the case that we know the mass of the cake, it would be:

price = x * 0.2

where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:

price = 10 * 0.2 = 2

which means that each cake costs $ 2

Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.

price = x * 0.454 * 0.2

where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:

price = 10 * 0.454 * 0.2 = 0.908

which means that each cake costs $ 0.9

5 0
3 years ago
A=1/2 ap <br> What is the value of p if A=40ft2 and <br> a= 8ft?
cricket20 [7]
A=1/2ap

(40ft^2)=1/2*8*p

p=(40ft^2)/4
7 0
3 years ago
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