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3 years ago

Tim has 5/12 of a jar of BlackBerry jam and 3/8 of a jar of strawberry jam. Write 5/12 and 3/8 using a common denominator

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer:

10/24 and 9/24

Step-by-step explanation:

24 is the common denominator because it is the next smallest number that both 12 and 8 go into. 12 x 2=24 but you have to do the same thing to the numerator if you do something to the denominator so since we multiplyed by 2 now multiply 5 by 2 and get 10. Then the same for 3/8 but 8 goes into 24 3 times so we miltiply by 3, 3x3=9 so you get 9/24 and 10/24. Hope this helps have a great day!

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f(x) = 0.2^x is transformed 9 units right, compressed vertically by a factor of 1/6 and reflected across the x-axis. Write the t

postnew [5]

Answer:

The function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

Step-by-step explanation:

The given function is

$f(x)=-(0.2)^x$

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.

The transformation of function is defined as

$g(x)=kf(x+b)+c$

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.

If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.

If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.

The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

$g(x)=\frac{1}{6}(-f(x-9))$

$g(x)=-\frac{1}{6}(0.2)^{x-9}$ $[\because f(x)=-(0.2)^x]$

Therefore the function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

7 0

2 years ago

Read 2 more answers

Questions 1-6 of 6 | Page 1 of 1

LenKa [72]

Answer:

Blank 1 = 53 + 90 = 143

Blank 2 = 143 - 229 = -86

Blank 3 = 0 - 86 = 86

7 0

2 years ago

Stan's lawn mower had ⅛ of a gallon of gasoline in the tank. Stand started mowing and used all of the gasoline. He put 6/10 of a

KATRIN_1 [288]

Answer:Stan used 19/40 of a gallon of gasoline.

Step-by-step explanation:

At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank. It means that the number of gallons of gasoline that he has already put in the tank is

1/8 + 6/10 = 29/40 of a gallon.

After he mowed, 1/4 of a gallon was left in the tank. Therefore, the total amount of gasoline Stan used is

29/40 - 1/4 = 19/40 of a gallon

8 0

2 years ago

the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in

kondor19780726 [428]

<h2>Answer:</h2>

$\boxed{W=2ft}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

From the statement of the problem we know:

$V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2$

So:

$24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4$

Since we can't have negative distance, the only valid option is $\boxed{W=2ft}$

3 0

3 years ago

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Korolek [52]

Answer:

Step-by-step explanation:

6 0

2 years ago