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navik [9.2K]
3 years ago
9

Hector wants to tend a parcel to Spain. His parcel is a cuboid with dimensions 10cm, 10cm and 40cm. He looks at the prices of tw

o companies, WeGoFast and ParcelsFly. WeGoFast Total cost: Sum, in cm, of the 3 dimensions x £1.20. ParcelsFly Total cost: Volume measured in cm^3 x £0.02. Find the cost of spending the parcel with each company. Give each of your answers in pounds. (£)
Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

2.8 pounds

Step-by-step explanation:

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svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

  • a^x \times a^y = a^{x+y}
  • In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : a^x = a^y  ⇒  x = y  [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

4 \times 8^{2x+1} = 32^{x+2}

Lets express it in terms of 2.

=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}

=> 2^2 \times 2^{6x+3} = 2^{5x+10}

=> 2^{2 + 6x+3} = 2^{5x+10}

=> 2^{6x+5} = 2^{5x+10}

Here the bases on both the sides are equal. Hence ,

=> 6x + 5 = 5x + 10

=> 6x - 5x = 10 - 5

=> x = 5

6 0
3 years ago
a rectangle prism has a volume of 3x^2 + 18x+ 24. its base has a length of x + 2 and width of 3, what expression represents the
OlgaM077 [116]
\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\qquad &#10;\begin{cases}&#10;l=x+2\\&#10;w=3\\&#10;V=3x^2 + 18x+ 24&#10;\end{cases}\implies \cfrac{V}{lw}=h&#10;\\\\\\&#10;\cfrac{3x^2 + 18x+ 24}{3(x+2)}=h\implies \cfrac{\underline{3}(x^2 + 6x+ 8)}{\underline{3}(x+2)}=h&#10;\\\\\\&#10;\cfrac{(x+4)\underline{(x+2)}}{\underline{(x+2)}}=h\implies x+4=h
6 0
3 years ago
What is 25/100 and 350/1000 simplified?
sergey [27]
25/100 = 1/4 (divide both numerator and denominator by 25)

350/1000 = 35/100 = 7/20.
4 0
3 years ago
The two-way frequency table below shows data on student behavior and the use of positive phone calls home as an incentive for go
dusya [7]

Answer:

From the frequency table, let's calculate the row total.

Row total for phone call = 19 + 9 = 28

Row total for no phone call = 8 +6 = 14

To calculate their respective row relative frequencies, let's use:

Row relative freq = \frac{freq.}{Row total}

Now, the two-way frequency table will be computed as:

For phone call:

Desirable behavior = \frac{19}{28} = 0.67857 ≈0.69

Undesirable behaviour = \frac{9}{28} = 0.3214 ≈0.32

No phone call:

Desirable behaviour = \frac{8}{14} = 0.5714 ≈ 0.57

Undesirable behaviour = \frac{6}{14} = 0.4286 ≈ 0.43

The complete two-way table is attached.

8 0
3 years ago
Match the side and angle measures of each triangle to its correct classification.
mojhsa [17]

Step-by-step explanation:

the first one is acute equilateral

the second one is obtuse scalene

the third one is right scalene

the fourth one is obtuse isosceles

7 0
2 years ago
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