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My name is Ann [436]
2 years ago
13

A car can travel 400 miles on a full tank of petrol. A more efficient car can travel 32% further. How many miles can it travel o

n a tank?
Mathematics
1 answer:
Lorico [155]2 years ago
3 0

Answer:

Answer:160 miles


Explanation:

You can work out this type of question by using the 'unitary' method, which means finding out how much for ONE.


If you set out the steps with short sentences it will be clearer.


 

On 15 gallons, a car can travel 400 miles÷15↓

On 1 gallon, a car can travel 400÷15=262


miles


Once you know the distance travelled on 1 gallon of fuel, you can work out the distance travelled for any number of gallons.


 

On 6 gallons the car can travel

6

×

26

2

3

miles.

(6 times further than on 1 gallon)


6

×

80

3

=

160

miles

Step-by-step explanation:


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What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?
MAXImum [283]

Answer:

1

Step-by-step explanation:

6*2-24x+1=

12+1=24x

x+1= 24/12

x+1=2

x=2-1

x=1

4 0
2 years ago
An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008
Verizon [17]

Complete Question:

An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0

a) What is the constant rate of sales

b) Write out the linear model function with the parameter values `p=S(t)

Answer:

a) Rate of sales, r = 40

b) Linear model function, p = s(t) = 40t + 2100

Step-by-step explanation:

p = S ( t ) = r t + i ......................(1)

Since January 2007 corresponds to t = 0, June 2007 corresponds to t = 6

Purchase, p = S(6) = 4500

Substituting these values into equation (1):

6r + i = 4500......................(2)

September 2008 corresponds to t = 21

Purchase, p = S(21) = 5100

21r + i = 5100......................(3)

Subtracting equation (2) from equation (3):

15r = 600

r = 600/15

r = 40

a) Therefore, rate of sale, r = 40

Substituting the value of r into equation (2)

6(40) + i = 4500

i = 4500 - 2400

i = 2100

b) The linear model function is:

p = s(t) = 40t + 2100

6 0
2 years ago
Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes 4/5 of an hour to fill 1
Nady [450]
(4/5) / (1/2) = x / 1
1/2x = 4/5
x = 4/5 * 2
x = 8/5 or 1 3/5 holding tanks
4 0
2 years ago
Which equation is y=6x^2+12-10 rewritten in vertex form
Andre45 [30]

The formula in order to obtain the vertex form of a quadratic equation is given as 

y=a(x-h)^2+k where (h,k) is the vertex of the quadratic equation which is parabolic in shape and it is opening upward.

As given in the problem, y=6x^2+12x-10

Using the formula, we can transformed the quadratic equation y=6x^2+12x-10 into its vertex form:

y=6x^2+12x-10

<span>y= (6x^2+12x)-10    (grouping)</span>

y=6(x^2+2x)-10 (factoring Common terms per group)

y=6(x^2+2x+1)-10-6 (Completing the squares)

<span>y=6(x+1)^2-16    (Factor and Simplify) </span>

 

Hence, the vertex form of y=<span>6x^2+12x-10 is y=6(x+1)^2-16</span>

7 0
2 years ago
An ice cream stand uses the expression 2 + 0.5x2+0.5x2, plus, 0, point, 5, x to determine the cost (in dollars) of an ice cream
Rashid [163]

Answer:

An ice cream cone with 5 scoops cost is, $4.5

Step-by-step explanation:

As per the statement:

An ice cream stand uses the expression 2+0.5x to determine the cost of an ice cream cone that has x scoops of ice cream.

⇒ Cost of an ice cream cone C(x) = 2+0.5x         .....[1]

Given: x = 5 scoops

We have to find the cost of an ice cream cone with 5 scoops cost.

Substitute the given value of x =5 in [1] we have;

C(5) = 2+0.5(5)

C(5) = 2+0.5 \times 5 = 2 + 2.5 = $4.5

Therefore, an ice cream cone with 5 scoops cost is, $4.5

3 0
2 years ago
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