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SashulF [63]
3 years ago
7

Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny ea

ts 1/6 of her cake. How much cake is left? please show working thank youu
Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

\frac{7}{12} of the cake

Step-by-step explanation:

add \frac{1}{8} and \frac{1}{6} to see the total amount of cake eaten.

a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24

b. multiply accordingly to get the correct numerator: \frac{3}{24} + \frac{4}{24}

c. add: \frac{3}{24} + \frac{4}{24} = \frac{7}{24}

subtract found value from total to find left over cake.

a. 24 - 7 = 14

simplify.

a. \frac{14}{24} = \frac{7}{12}

You are left with \frac{7}{12} of the cake.

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Plssssss help fast!!!!Launching From a Tower
aleksandrvk [35]

Answer:

A. h = 64

B.  t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

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 = -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

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Answer:

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Step-by-step explanation:

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Combine like terms

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Subtract 277 from each side

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m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

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Substitute the points in formula:

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Negative multiply negative always come out as positive.

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Since m stands for slope, we can say that:

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