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2 years ago

9

A litre bottle of KERPOW washing up liquid costs £1.95.

1 answer:

Alex_Xolod [135]2 years ago

4 0

Answer:

<u>500 washes</u>

Step-by-step explanation:

<u>Number of washes</u>

Total volume / Volume used each time
5 L / 10 mL

But remember : 1 L = 1000 mL

5000 mL / 10 mL
<u>500 washes</u>

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Xavier climbs 9ft up into an apple tree what integer represents the directions and how far he will climb to get back down to the

masha68 [24]

Answer:

<h2>Direction is represented by +9, indicating that is moving in a positive direction (upwards).</h2><h2>Zero is the reference point.</h2>

Step-by-step explanation:

So, basically, we need to apply a reference system to express directions, because all movements are represented respect to a reference point. In this case, number zero represents that reference point, which is located in the ground, setting this reference point we can measure the distance that Xavier traveled upwards the apple tree.

4 0

3 years ago

If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?

marissa [1.9K]

Answer: 58 ft × 58 ft

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ $2(x+y) = 234$

⇒ $x+y = 117$

⇒ $y = 117 - x$

Again the area of the region, A = xy

⇒ $A(x) = x(117-x)$

⇒ $A(x) = 117x - x^2$

By differentiating the above equation with respect to x,

⇒ $A'(x) = 117 - 2x$

For maxima or minima,

$A'(x) = 0$

$\implies 117 - 2x = 0$

$\implies -2x = -117$

$\implies x = 58.5$

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0

3 years ago

Read 2 more answers

Clare is running around the track and her coach recorded her times at the end of laps 2, 4, 6, 8 and 10. Is Clare running at a c

Simora [160]

Answer:

d

Step-by-step explanation:

4 0

3 years ago

Determine whether AB and CD are parallel, perpendicular, or neither. A(2,8), B(-1, -2), C(3, 7), D(0, -3)

lord [1]

Answer:

they're parallel

3 0

2 years ago

Find the perimeter of the polygon with the vertices X(−1, 3), Y(3, 0), and Z(−1,−2). Round your answer to the nearest hundredth

antoniya [11.8K]

Answer:

The perimeter of the polygon is $P=14.47\ units$

Step-by-step explanation:

we know that

The perimeter is the sum of the length sides of the polygon

In this problem

P=XY+YZ+XZ

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance XY

we have

X(−1, 3), Y(3, 0)

substitute

$d=\sqrt{(0-3)^{2}+(3+1)^{2}}$

$d=\sqrt{25}$

$dXY=5\ units$

step 2

Find the distance YZ

we have

Y(3, 0), Z(−1,−2)

substitute

$d=\sqrt{(-2-0)^{2}+(-1-3)^{2}}$

$d=\sqrt{20}$

$dYZ=4.47\ units$

step 3

Find the distance XZ

we have

X(−1, 3), Z(−1,−2)

substitute

$d=\sqrt{(-2-3)^{2}+(-1+1)^{2}}$

$d=\sqrt{25}$

$dXZ=5\ units$

step 4

Find the perimeter

P=XY+YZ+XZ

$P=5+4.47+5=14.47\ units$

5 0

2 years ago