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Irina-Kira [14]
3 years ago
9

How many 3/4 ounce spoonfuls of sugar are in a 5 1/2 ounce bowl? show work please

Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer: \frac{22}{3}

Step-by-step explanation: Divide

5\frac{1}{2}\div \frac{3}{4}

Step 1: Convert the mixed number to improper fraction

5 \frac{1}{2} =\frac{11}{2}

= \frac{11}{2}\div \frac{3}{4}

Step 2: Reciprocal

\frac{11}{2}\times \frac{4}{3}

Step 3: Divide the common factors

4 \div 2 = 2\\\\=\frac{11}{1}\times \frac{2}{3}

Step 4: Multiply

\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}

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HELP ASAP FOR BRAINLIEST:
goldenfox [79]

Answer: y = -14/9(x + 4)^2 + 7

Step-by-step explanation:

The given roots of the quadratic function is (-1, -7)

The vertex is at (-4, 7)

The formula is

y = a(x - h)^2 + k

The vertex is (h, k)

Comparing with the given vertex, (-4, 7), h = -4 and k = 7

Substituting into the formula

y = a(x - h)^2 + k, it becomes

y = a(x - - 4)^2 + 7

y = a(x + 4)^2 + 7

From the roots given (-1, -7)

x = -1 and y = -7

Substituting x = -1 and y = -7 into the equation,

y = a(x + 4)^2 + 7, it becomes

-7 = a(-1+4)^2 + 7

-7 = a(3^2 ) + 7

- 7 = 9a + 7

-7-7 = 9a

9a = -14

a = -14/9

Substituting a = - 14/9 into the equation, it becomes

y = -14/9(x + 4)^2 + 7

8 0
3 years ago
What is the gcf of 7 and 28
valentinak56 [21]

Answer: 7

The greatest common factor of 7 and 28 because 7 is the maximum number that goes into 7 and is also a multiple of 28.

Hope this helps!  :)

Step-by-step explanation:

4 0
3 years ago
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Use the given x and y values to write a direct variation equation<br> x=5, y=30
katrin [286]

Answer:

y=6x

Step-by-step explanation:

direct variation equation is like y=kx (k: constant)

substitute (5,30) to solve k,

30=5k

k=6

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I think this is correct. If not lmk

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