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mel-nik [20]
3 years ago
15

Samuel is saving to buy a watch that costs $169.This is $48 More than 4 times what he saved last month.How much did he save last

month.
Mathematics
2 answers:
bazaltina [42]3 years ago
8 0
He saved 30.25 last month. 169 - 48 = 121 divided by 4 = 30.25
IrinaK [193]3 years ago
4 0

Answer:

Samuel saved $30.25 last month.

Step-by-step explanation:

This problem can be solved by an equation, where x is the amount that Samuel saved last month.

You know that on one side of equality you have $ 169. What you should know is to what expression this value is matched.

For that, you should know that 4 times more than what Samuel saved means that what he has saved must be multiplied by 4. $ 48 more means that the above should be added $ 48. Therefore you can propose the following equation:

<em>4*x+48=169 </em>

For this type of equation, you use the inverse operation to solve it.

The inverse operation of addition is subtraction, so you subtract 48 from both sides of equality, obtaining:

4*x+48-48=169-48

4*x=121

Now, the inverse operation of multiplication is division. So, you divide both sides by 4 and get:

\frac{4*x}{4} =\frac{121}{4}

x=30.25

<u><em>So, Samuel saved $30.25 last month.</em></u>

<u><em></em></u>

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34kurt

Answer:

(2, -5)

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c  we see that the vertex is (b, c)  =   (2, -5).

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2 years ago
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Alina [70]
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7 0
2 years ago
2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in
Stells [14]

Answer:

a = 60°

Step-by-step explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

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3 years ago
Write an equation of the line that passes through the points (2,−1) and (0,1).
Alina [70]
0,1 is the y-intercept 
5 0
3 years ago
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What is PA <br> Enter your answer in the box
SSSSS [86.1K]

Answer:

3

Step-by-step explanation:

P is the in-center

⇒PA=PE=PD because they are in-radius of the in-circle

We know that, tangent segments drawn from a point outside the circle are always equal in length

⇒DK=EK=7.2

In right triangle PKE,

using Pythagoras' Theorem : PK^{2}=PE^{2}+KE^{2}

⇒PE^{2}=PK^{2}-KE^{2}

⇒PE=\sqrt{PK^{2}-KE^{2} }

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3 years ago
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