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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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The equation y=x^3 + 3 is symmetric with respect to which of he following?
lianna [129]

y = x^{3} +3

Subtract 3 from both sides,

y-3=x^{3}

Let x = X and y - 3 = Y

Then,

Y = X^{3}

So, we have shifted the origin to a point (0, 3).

This is an odd function and the graph of an odd function is symmetrical about the origin.

That is, symmetrical about X = 0, Y = 0

Symmetrical about x = 0,, y - 3 = 0

Symmetrical about x = 0, y = 3.

Hence, the graph is symmetrical about the point (0, 3).

3 0
3 years ago
Two numbers have a sum of 49. If one number is x,express the other number in terms of x
Ymorist [56]

Answer:

y = 49 - x

Step-by-step explanation:

Let the other number be y.

Given x + y = 49

x+y-x = 49 - x

y = 49 - x

5 0
3 years ago
How many grams are in 3.5 kilograms
Kisachek [45]
Answer=3500 grams are in 3.5 kilograms. multiply the mass value by 1000
5 0
3 years ago
The area of Europe is approximately 9.94 × 106 square kilometers. Its population is approximately 7.31 × 108 people. What is the
Kipish [7]

The population density is 73.54 people per square kilometer

<em><u>Solution:</u></em>

Given that,

Area of europe = 9.94 \times 10^6 square kilometers

Population = 7.31 \times 10^8

<em><u>To find: population density</u></em>

<em><u>The formula for population density is given as:</u></em>

\text{ population density } = \frac{\text{ number of people }}{\text{ land area }}

<em><u>Substituting the values in formula, we get</u></em>

\text{Population density } = \frac{7.31 \times 10^8}{9.94 \times 10^6}\\\\\text{ use the law of exponent } \frac{a^m}{a^n} = a^{m-n}\\\\\text{Population density } = 0.7354 \times 10^{8-6}\\\\\text{Population density } = 0.7354 \times 10^2\\\\\text{Population density } = 73.541

On rounding to nearest hundreth (two decimal places ), we get 73.54

Thus the population density is 73.54 people per square kilometer

3 0
3 years ago
The length of time it takes to get through the security checks at a very large urban airport is a random variable with mean μ =
gregori [183]
A) The population and sample mean are always the same ... in this case, it is 20.6 minutes. 

<span>b) First convert the data to z-values: </span>

<span>P(X<18) = P(z < (18-20.6)/8.4) = P(z< -0.3095) </span>

<span>Now, using a Standard Normal table, look up z= -0.3095 </span>

<span>P(X<18) = 0.3785 </span>

<span>Hope that helps</span>
8 0
3 years ago
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