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Mademuasel [1]
3 years ago
12

Simplify and rationalize the expression.

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0
~-2.15139............ hope it helps

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At the local clothing store 3 similar shirts and 4 similar jackets cost $360. 1 shirt and 3 jackets cost $220. Find the cost of
notsponge [240]

To solve this problem, it is easiest to set up a system of equations. Let's let the variable s represent the cost of a shirt and the variable j represent the cost of jackets. According to the given information, we can set up the following equations (because cost multiplied by quantity yields price):

3s + 4j = 360

1s + 3j = 220

Next, we can manipulate the second equation so that it equals s in terms of j. We do this by subtracting 3j from both sides of the equation, as shown below:

s = 220 - 3j

After that, we should substitute in this value for the variable s in the first equation.

3(220-3j) + 4j = 360

Next, we should use the distributive property to simplify the left side of the equation.

660 - 9j + 4j = 360

Then, we should simplify the left side of the equation by combining like terms.

660 - 5j = 360

After, we can subtract 660 from both sides of the equation to get the variable term alone.

-5j = -300

Finally, we should divide both sides of the equation by -5 in order to get the variable j alone.

j = 60

Now that we know the value of the variable j, we should substitute this value into one of the original equations and solve using division and subtraction to isolate the variable.

3s + 4j = 360

3s + 4(60) = 360

3s + 240 = 360

3s = 120

s = 40

Therefore, the cost of one shirt is $40.

Hope this helps!

7 0
3 years ago
Solve : <br><br>1) 5x – 15x²<br>2) 3x-9​
8090 [49]

Answer:

1) 5x(1 - 3x)

2) 3(x - 3)

Step-by-step explanation:

<u>Question # 1:</u>

= 5x - 15x²

Take 5x common

= 5x(1 - 3x)

<u>Question # 2:</u>

= 3x - 9

Take 3 common

= 3(x - 3)

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
4 0
2 years ago
Read 2 more answers
Solve for f: 6f 9g = 3g f
Goshia [24]
If you would like to solve 6f + 9g = 3g + f for f, you can do this using the following steps:

<span>6f + 9g = 3g + f
</span>6f - f = 3g - 9g
5f = - 6g
f = - 6g/5

The correct result would be <span>f = - 6g/5.</span>
5 0
3 years ago
Read 2 more answers
The function D =25+0.3 X represents the daily dental charge D in dollars for X miles driven
Lady_Fox [76]

Answer:

See Explanation

Step-by-step explanation:

Given

D = 25 + 0.3X

The question has missing details; as what's required is not stated.

However, since it is a linear equation, possible questions could be

1. Determine the slope

2. Determine the D-intercept

3. Calculate the amount in dollars for (say) 5 miles

An equation is represented as:

D = b + mx

Where

b = D\ intercept

m = slope

By comparing: D = 25 + 0.3X to D = b + mx

b = 25 and m = 0.3

This means that the slope is 0.3 and the d intercept is 25

To get the amount for 5 miles, we substitute 5 for x in D = 25 + 0.3X

D = 25 + 0.3 * 5

D = 25 + 1.5

D = 26.5

<em>The cost of 5 miles is $26</em>

Make use of the above explanation to solve the question

4 0
3 years ago
Which statements are true?
lora16 [44]

Answer:

1

Step-by-step explanation:

I think triangle has only 3 angles because otherwise it will turn the next shale and it will be like square or i dont know. Good luck :)

5 0
3 years ago
Read 2 more answers
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