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Sedbober [7]
3 years ago
12

Linda spent 3/4 of her saving on furniture and the rest on a tv.If the tv cost her $200,what were her original savings .

Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0

Let x represent the amount of savings

\frac{3}{4} of savings minus tv equals zero

\frac{3}{4}x - 200 = 0

\frac{3}{4}x = 200

3x = 4(200)

x = \frac{4(200)}{3}

x = 266.67

Answer: $266.67


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Translate the figure 2 units left and 7 units down.
STALIN [3.7K]

The translation of the given figure will have vertices, <u>A'(1,2),</u> <u>B'(3,2),</u> <u>C'(3,-5),</u> and <u>D(-1,-3)</u> from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.

In the question, we are asked to translate the given figure 2 units left and 7 units down.

In the translation, the left-right movement implies the change in the x-coordinate, whereas the up-down movement implies the change in the y-coordinate.

For any point P(x, y) the given rule says that after translation,

P(x, y) becomes P'(x - 2, y - 7).

The coordinates of the given figure are:

A(3,9), B(5,9), C(5,2), and D(1,4).

After translation, these points can be shown as:

A(3,9) becomes A'(1,2).

B(5,9) becomes B'(3,2).

C(5,2) becomes C'(3,-5).

D(1,4) becomes D'(-1,-3).

Thus, the translation of the given figure will have vertices, <u>A'(1,2),</u> <u>B'(3,2),</u> <u>C'(3,-5),</u> and <u>D(-1,-3)</u> from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.

Learn more about translations at

brainly.com/question/1400185

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7 0
2 years ago
2,640 yd= blank miles
stiv31 [10]

Answer:

1.5 miles

Step-by-step explanation:

its right. your welcome.

6 0
3 years ago
Read 2 more answers
John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After usin
MariettaO [177]

Answer:

$2.55

Step-by-step explanation:

2d + $14.00 – $7.00 = $12.10; $2.55

6 0
2 years ago
there is a box in your attic with 3 books 4 dolls and 16 candles what is the ratio of candles to books
Kipish [7]

Answer:

the answer would be 16 to 3 which can also be shown as 16:3

Step-by-step explanation:

this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next

5 0
3 years ago
The letters r and Θ represent polar coordinates. perform the following.
nexus9112 [7]

Answer:

\boxed{(x - \frac{1 }{ 2})^{2} + y^{2} = \frac{21 }{ 4}}\\

Step-by-step explanation:

r = \frac{5}{r - cos\theta}\\r^{2} - rcos\theta = 5\\\\

\text{Use the relationships}\\r^{2} = x^{2} + y^{2}; cos\theta = \frac{ x}{r }\\

\begin{array}{ll}x^{2} + y^{2} - r(\frac{x }{r }) = 5 & \text{Made the substitutions } \\x^{2} + y^{2} - x = 5 & \text{Simplified } \\x^{2} -x + y^{2} = 5 & \text{Rearranged } \\x^{2} -x + \frac{1 }{ 4} + y^{2}= 5 + \frac{1 }{ 4} & \text{Completed the square } \\(x - \frac{1 }{ 2})^{2} + y^{2}= \frac{21 }{ 4} & \text{Wrote as sum of squares} \\\end{array}\\\\

\text{This is the equation of a circle with centre at (0.5, 0 ) and radius equal to}\\\frac{\sqrt{21} }{ 2} \approx 2.291\\

\boxed{(x - \frac{1 }{ 2})^{2} + y^{2}= \frac{21 }{ 4}}\\

5 0
3 years ago
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