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stealth61 [152]
3 years ago
11

three times the sum of a number x and 3 is 10 plus twice the difference of the number x and another number y

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Step-by-step explanation:

We have 3(x + 3) = 10 + 2(x - y).

=> 3x + 9 = 10 + 2x - y

=> x = 1 - y

=> y = 1 - x.

(Rewritting it as a mathematical statement is the 1st line)

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ivanzaharov [21]

Answer:

tan F

Step-by-step explanation:

tangent is opposite/adjacent

the opposite side of F is 8 and the adjacent is 15

8/15 is therfore = tan F

7 0
2 years ago
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Find all missing variables and measures of each angle
8090 [49]

I hope this is helpful

5 0
3 years ago
What is the correlation coefficient for the model that predicts the list price of all homes using population as an explanatory v
denis23 [38]

Here, we are concerned about two variables from the above data set, namely, Condo or co-ops and the Unemployment rate. We use the CORREL function of Excel to calculate the correlation coefficient rate and it is = R = -0.01873.

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The correlation coefficient is a statistical measure of the strength of the connection between the relative actions of two variables. The values varied between -1.0 and 1. zero. A calculated wide variety greater than 1. zero or less than -1.zero means that there was an error within the correlation size.

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6 0
1 year ago
Find "x"
Schach [20]
1. −2x−4=20+6x
Step 1: Simplify both sides of the equation.
−2x−4=20+6x
−2x+−4=20+6x
−2x−4=6x+20
Step 2: Subtract 6x from both sides.
−2x−4−6x=6x+20−6x
−8x−4=20
Step 3: Add 4 to both sides.
−8x−4+4=20+4
−8x=24
Step 4: Divide both sides by -8.
−8x/−8=24/−8
x=−3
Answer:
x=−3

3. (x/4)*(4)=(9)*(4)
x=36
Answer:
x=36

4.
2(5x−1)=3x+5
Step 1: Simplify both sides of the equation.
2(5x−1)=3x+5
(2)(5x)+(2)(−1)=3x+5(Distribute)
10x+−2=3x+5
10x−2=3x+5
Step 2: Subtract 3x from both sides.
10x−2−3x=3x+5−3x
7x−2=5
Step 3: Add 2 to both sides.
7x−2+2=5+2
7x=7
Step 4: Divide both sides by 7.
7x/7=7/7
x=1
Answer:
x=1

5.
8−2(3x−4)+2x=5(x+6)+4
Step 1: Simplify both sides of the equation.
8−2(3x−4)+2x=5(x+6)+4
8+(−2)(3x)+(−2)(−4)+2x=(5)(x)+(5)(6)+4(Distribute)
8+−6x+8+2x=5x+30+4
(−6x+2x)+(8+8)=(5x)+(30+4)(Combine Like Terms)
−4x+16=5x+34
−4x+16=5x+34
Step 2: Subtract 5x from both sides.
−4x+16−5x=5x+34−5x
−9x+16=34
Step 3: Subtract 16 from both sides.
−9x+16−16=34−16
−9x=18
Step 4: Divide both sides by -9.
−9x/−9=18/−9
x=−2
Answer:
x=−2
4 0
3 years ago
Write each set in the indicated form. If you need to use "" to indicate a pattern, make sure to list at least four elements of t
KatRina [158]

Complete question is;

Write each set in the indicated form.

If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.

As you answer below, remember that the natural numbers are just the counting numbers. This means that is not a natural number, and negative numbers are not natural numbers either.

(a) Roster form: {6,8,10,12,...}

Descriptive form:

(b) Descriptive form: The set of natural numbers greater than or equal to 3 and less than or equal to 6.

Roster form:

Answer:

A) Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) Roster form: {3, 4, 5, 6}

Step-by-step explanation:

A) We are given that the roster form is;

{6,8,10,12,...}

Now, the descriptive form is just a statement that describes the given roster form.

Now, we can see they are all even natural numbers and the least is 6 while after 12,we can see that the set continues.

Thus;

Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) We are given that the descriptive form is the set of natural numbers greater than or equal to 3 and less than or equal to 6.

This means the least number in the set is 3 while the highest number is 6.

Thus,the roster form is;

Roster form: {3, 4, 5, 6}

3 0
3 years ago
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