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Citrus2011 [14]
3 years ago
14

Seven cakes cost £2.10 how much do 10 cakes cost

Mathematics
1 answer:
Len [333]3 years ago
7 0
Ten cakes costs $2.19 (pounds, but I don't have a pounds symbol on my computer) because if you divide $2.10 by seven you get $0.3, and if you add 3×0.3 (because we have seven, and we need to add three more to get ten) we get $0.9.
 
0.9+2.10=2.19
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A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
3 years ago
For what value of x is sq 896z^15/225z^6 = xz^4/15
Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given:  \sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z} ,.....[1]

To find the value of x:

Using exponent rules:

  • (a^n)^m = a^{nm}
  • a^n \cdot a^m = a^{n+m}

Taking square both sides in [1] we have;

\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)

Simplify:

\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)

or

\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}

Multiply both sides by \frac{225}{14z^9} we get;

x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}

Simplify:

x^2 = \frac{896 z^{15}}{14 z^{15}} = 64

or

x = \sqrt{64}

Simplify:

x = 8

Therefore, the value of x is, 8


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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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