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3 years ago

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Mathematics

1 answer:

kaheart [24]3 years ago

7 0

Answer:

Option D: 5√5 is the correct answer.

Step-by-step explanation:

Given that:

√20 + √45

These can also be written in simplified form;

√5*4 + √5*9

We will take square root of 4 and 9.

The square root of 4 and 9 is,

√4 = 2

√9 = 3

Thus,

2√5 + 3√5

Adding the roots,

5√5

Hence,

Option D: 5√5 is the correct answer.

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Ralph is 3 times as old as Sarah. in six years, Ralph will be only twice as old is Sarah will be then. find Ralphs age now.

Phantasy [73]

First, we start with the equation that the problem told us, which is:

R + 6 = 2 * (x + 6)

Then, we distribute the two:

R + 6 = 2x + 12

Now, we put R on its own side.

R = 2x +6

So, the answer must be C, 2x + 6

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3 years ago

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If Jeff washes his car in 6 minutes and bob washes the same car in 8 minutes. How long does it take both of them to wash the sam

Tatiana [17]

Answer:

3 3/7 or 24/7 mins

Step-by-step explanation:

Let total job = X

Jeff's rate = X/6

Bob's rate = X/8

Combined rate = X/6 + X/8

(4X × 3X)/24 = 7X/24

7X/24 = X/T

T = X ÷ (7X/24)

T = X × (24/7X)

T = 24/7 mins

Shortcut:

T = product of individual times/sum of individual times

T = (6×8)/(6+8)

T = 48/14

T = 24/7

T = 3 3/7 mins

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3 years ago

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VikaD [51]

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A researcher asks participants to estimate the calories they consume in a meal. The researcher records the following estimates:

aleksley [76]

Answer:

Increase

Step-by-step explanation:

The researcher records the following estimates: 450, 426, 310, 500, and 220.

The mean of these estimates is derived below.

Mean = (450+426+310+500+220)/5

=1906/5=381.2

If the researcher removes the estimate of 220.

The mean of the other numbers will be:

Mean =(450+426+310+500)/4

=1686/4=421.5

By comparison of the two mean, we can see that the value of the mean will increase.

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3 years ago

Give the property that justifies each step.

frosja888 [35]

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

Distributive property

$a(b+c) = ab+ac$

For example,

suppose a=3, b=4, c=5

3(4+5) = 3(4) + 3(5)

3(9) = 12+15

27 = 27

Subtraction property of Equality

if (a=b), then a-c = b-c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3

Addition property of Equality

if (a=b), then a+c = b+c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5

Multiplicative property of Equality

if (a=b), then a×c = b×c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10

Division property of Equality

if (a=b), then a÷c = b÷c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5

Let us solve the given equation using the above properties.

7n-16=47 Given

7n-16+16=47+16 1) Addtion property of Equality ∵ if (a=b), then a+c = b+c

7n=63 2) simplify

n = 9 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c

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3 years ago