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3 years ago

Ayliah is 7 years more than 1/2 of Deb's age use x for the variable

Mathematics

1 answer:

irina [24]3 years ago

7 0

Answer:

The expression $\frac{1}{2}x+7$ can be used to find Ayliah's age.

Step-by-step explanation:

Given statement is:

Ayliah is 7 years more than 1/2 of Deb's age.

Let,

x represent Deb's age.

The expression for Ayliah's age would be;

7 more means addition.

Ayliah's age = $\frac{1}{2}x+7$

Hence,

The expression $\frac{1}{2}x+7$ can be used to find Ayliah's age.

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Suppose the required reserve ratio is 20 percent. If banks are conservative and choose not to loan all their excess reserves, th

maria [59]

Answer:

Option B

Step-by-step explanation:

Given that the required reserve ratio is 20 percent.

Since banks are conservative they choose not to loan all their excess reserves

i.e. only 20% of deposits is kept as reserve and 80% lent.

This 80% will again be deposited in a bank and 80% of 80 i.e.64% would be lent. Thus this will form a geometric progression infinitely as

deposits $= 1+0.8 + 0.8^2 +0.8^3+...$ with common ratio 0.8<1

Hence infinite sum = $\frac{a}{1-r} =\frac{1}{1-0.8} \\=5$

So deposit multiplier is B) equal to 5

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3 years ago

What is the mean, median, and mode of 33, 37, 37, 39, 42, 43, 46, 48, 50, 52, 55

Akimi4 [234]

Answer:

Mean: 43.8 Mode: 37 and Median: 43

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3 years ago

Read 2 more answers

Leah wrote 2 different fractions with the same denominator. both fractions were less than 1. can their sum equal 1? explain

grandymaker [24]

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3 years ago

Please help me lol!!!!!

OlgaM077 [116]

Answer:

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Step-by-step explanation:

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3 years ago

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has

Whitepunk [10]

Answer:

Please find attached the required plot accomplished with an online tool

Part A:

1/4

Part B:

P''(-1, 0), Q''(0, -1), and R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent

Step-by-step explanation:

Part A:

Triangle ΔPQR has vertices P(4, 0), Q(0, -4), R(-8, -4)

Triangle ΔP'Q'R' has vertices P'(1, 0), Q'(0, -1), R'(-2, -1)

The dimensions of the sides of the triangle are given by the relation;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates on the ends of the segment

For segment PQ, we place (x₁, y₁) = (4, 0) and (x₂, y₂) = (0, -4);

By substitution into the length equation, we get;

The length of segment PQ = 4·√2

The length of segment PR = 4·√10

The length of segment RQ = 8

The length of segment P'Q' = √2

The length of segment P'R' = √10

The length of segment R'Q' = 2

Therefore, the scale factor of the dilation of ΔPQR to ΔP'Q'R' is 1/4

Part B:

Reflection of (x, y) across the y-axis gives;

(x, y) image after reflection across the y-axis = (-x, y)

The coordinates after reflection of P'(1, 0), Q'(0, -1), R'(-2, -1) across the y-axis is given as follows;

P'(1, 0) image after reflection across the y-axis = P''(-1, 0)

Q'(0, -1) image after reflection across the y-axis = Q''(0, -1)

R'(-2, -1) image after reflection across the y-axis = R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent as the dimensions of the sides of triangle PQR and P''Q''R'' are not the same.

6 0

3 years ago