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3 years ago

Conver Mixed Number to an Improper Fraction 15 and 7/10

Mathematics

2 answers:

jeka943 years ago

7 0

Answer:

$\frac{157}{10}$

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

10 × 15 = 150

Step 2

Add the answer from Step 1 to the numerator

150 + 7 = 157

Step 3

Write answer from Step 2 over the denominator $\frac{157}{10}$

Readme [11.4K]3 years ago

4 0

Answer:157/10

Step-by-step explanation:

Make 15 into an improper fraction (every number is a fraction over 1) so multiply the numerator(15) and the denominator(1) by 10 to get 150/10 then add 150/10 to 7/10 to get 157/10

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Movie tickets cost $8 for children and $12 for adults. A movie theater has 300 seats. The theater wants to collect at least $4,8

butalik [34]

Answer:

8x + 12y = 4800

$\left \{ {{8x + 12y = 4800} \atop {x+ y = 300}} \right.$

Step-by-step explanation:

3 0

3 years ago

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the

bagirrra123 [75]

Answer:

$c = -6$

$d = -1$

Step-by-step explanation:

Given

See attachment for grid

Required

Find c and d

From the attachment, we have:

$a = (3,5)$ --- Point on A

$a' = (-3,-6)$ --- Corresponding point on B

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$(x,y) \to (x,-y)$

So, we have:

$(3,5) \to (3,-5)$

Next, is to calculate the translation from $(3,-5)$ to $(-3,-6)$

This is calculated using:

$3 + c = -3$

and

$-5 + d = -6$

So, we have:

$3 + c = -3$

$c = -3-3$

---- i.e. Shift by 6 units to the left

$-5 + d = -6$

$d = 5 - 6$

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3 0

3 years ago

Solve the following question

White raven [17]

Answer:

g) $u^{4}\cdot v^{-1}\cdot z^{3}$ , h) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$

1) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$ Given

2) $\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }$ Definition of division

3) $\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)$ Associative property

5) $u^{4}\cdot v^{-1}\cdot z^{3}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ /Result

h) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$

1) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$ Given

2) $\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }$ Definition of division

3) $\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }$ Factorization/Distributive property

5) $\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right]$ Modulative and commutative properties/Associative property

6) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ / $\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}$ /Definition of division/Result