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3 years ago

Multiplying a fraction by a whole number 4/12,4/12,4/12,4/12,4/12

Mathematics

1 answer:

aivan3 [116]3 years ago

8 0

4/12 times 5 =<span>1.66666667</span>

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I am greater than 54 fewer tens than 90?

Lubov Fominskaja [6]

In all cases, we will let x represent the number.
1) 54 tens = 540
90 - 540 = -450
x > -450

2) x < 36 and x > 24
24 < x < 36

3) 8 tens and 5 ones = 80 + 5 = 85
x > 85

4) x > 27
x < 33
And the value in the ones place is less than the value in the tens place, so
30 ≤ x ≤ 32

6 0

3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

1. Four bags of chips cost $6. 1. What is the cost per bag? 2. At this rate, how much will 7 bags of chips cost?

77julia77 [94]

Answer:

$1.50 dollars per bag and at that rate it would be $7.50 for 6 bags of chips

Step-by-step explanation:

8 0

3 years ago

30 POINTS!!

Anuta_ua [19.1K]

Answer is D

Step by step explanation

7 0

3 years ago

A triangle has vertices at A(-2,3), B(2,-2), and C(-2,-2). What is the area of the triangle?

Softa [21]

Answer:

The area of the given triangle ABC is 10 units.

Step-by-step explanation:

we have the area of the triangle when points are given is given by the relation

Area of triangle=

$\frac{1}{2} {x1 \times (y2 - y3) + x2 \times (y3 - y1) + x3 \times (y1 - y2)}$

and hence putting the Value

triangle = 1/2*( -2*(-2+2)+2*(-2-3)+(-2)*(3+2))

= 1/2*(0+2*(-5)+(-2)*5)

= 1/2*(-10-10)

= 1/2*(-20)

= (-10) units

Since area of the triangle is always positive, we neglect the minus sign and take 10 units as its area.

6 0

4 years ago