4. Solve for the missing variable. (The angle at the bottom is 97°)

Answer:

x-5y

Step-by-step explanation:

Answer:

[tex]x-5y[/tex]

Step-by-step explanation:

[tex]6x-8y-5x+3y[/tex]

[tex]6x-5x-8y+3y[/tex]

[tex]x-5y[/tex]

Answer:

You can sell at least 40 phones each week.

Step-by-step explanation:

Given that:

Weekly base salary = $150

Earning on each phone = $20

Maximum amount that can be earned each week = $950

Let,

m be the number of phones.

20m + 150 ≤ 950

20m ≤ 950 - 150

20m ≤ 800

Dividing both sides by 20

[tex]\frac{20m}{20}\leq \frac{800}{20}[/tex]

m ≤ 40

Hence,

You can sell at least 40 phones each week.

Answer:

El gas natural llegó ayer a Mallorca a través del gasoducto submarino.

Answer:

y = -4x + 5

Step-by-step explanation:

Here, we want to get the equation of the line that passes through the given points

The general form is;

y = mx + b

where m is the slope and b is the y intercept

To find the slope, we use the slope formula

this is ;

m = (y2-y1)/(x2-x1)

(x1,y1) = (0,5)

(x2,y2) = (2,-3)

m = (-3-5)/(2-0) = -8/2 = -4

To get the y-intercept we simply substitute one of the points

But we know that the y-intercept is the y-value when x = 0

From the point we can see (0,5) which means that the y-intercept is 5

so the equation of the line is;

y = -4x + 5

The equation of the graph in slope intercept form is y = -4x + 5

Using slope intercept equation

y = mx + b

where

m = slope

b = y- intercept

Therefore,

Let's take 2 coordinates to get the slope.

(1, 1)(0, 5)

y-intercept  = 5

Therefore,

m = 5 - 1 / 0 - 1 = - 4

y = -4x + 5

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Answer:

2 stickers will be left over

Step-by-step explanation:

To answer the question, all you need to do is figure out at what value of stickers would the remaining stickers be equal to 2 if the piles are made up of either 3 to a set or 4 to a set. To do this, we need to figure out the size of the whole set of stickers.

Lets assume that the total number of stickers is 14. Lets test the 2 given conditions. If we divide it in piles of 3 then we will have a pile of 12 stickers (4 piles of 3 stickers each) with 2 stickers remaining.

Lets test the second condition. If we divide it in piles of 4, we will again have 12 stickers (3 piles of 4 stickers each) with 2 stickers remaining.

Now that both conditions have been satisfied, all we have to do is see how many stickers are left if we make a pile of 12 stickers. In this case, we will have just one pile of 12 stickers and, again, we will be left with 2 stickers.

Therefore, the answer is 2 stickers

first term: 5x-5y

common difference: -x/2 + y

The common difference is d = -0.5x + y and the first term is 5x-5y

The nth term of the geometric progression is expressed as:

[tex]T_n=a+(n-1)d[/tex]

where;

The fifth term of the sequence is expressed as:

[tex]T_5=a+4d=3x-y[/tex]

[tex]T_{11}=a+10d=3x-y[/tex]

Take the difference of the terms:

[tex]4d-10d=3x-y-5y\\-6d=3x-6y\\d= -0.5x+y[/tex]

Get the first term:

a = 3x - y - 4(-0.5x+y)

a = 3x - y + 2x - 4y

a = 5x - 5y

Hence the common difference is d = -0.5x + y and the first term is 5x-5y

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Answer:

Baseball 482,740 36,011 7.5% 2.2% 2.3% 2.9%

Basketball 540,769 18,816 3.5% 1.0% 1.0% 1.4%

Cross Country 269,295 14,303 5.3% 1.8% 1.4% 2.1%

Football 1,006,013 73,712 7.3% 2.9% 1.9% 2.5%

Golf 143,200 8,485 5.9% 2.0% 1.6% 2.2%

Ice Hockey 35,283 4,323 12.3% 4.8% 0.6% 6.8%

Lacrosse 113,702 14,603 12.8% 3.1% 2.5% 7.3%

Soccer 459,077 25,499 5.6% 1.3% 1.5% 2.7%

Swimming 136,638 9,799 7.2% 2.8% 1.2% 3.2%

Tennis 159,314 7,785 4.9% 1.6% 1.0% 2.3%

Track & Field 605,354 28,914 4.8% 1.9% 1.2% 1.7%

Volleyball 63,563 2,355 3.7% 0.7% 0.7% 2.3%

Water Polo 22,475 1,072 4.8% 2.7% 0.8% 1.3%

Wrestling 247,441 7,300 3.0% 1.0% 0.8% 1.2%

Women

Basketball 399,067 16,509 4.1% 1.3% 1.2% 1.7%

Cross Country 219,345 15,624 7.1% 2.7% 1.7% 2.7%

Field Hockey 60,824 6,119 10.1% 2.9% 1.4% 5.8%

Golf 79,821 5,436 6.8% 2.8% 1.9% 2.1%

Ice Hockey 9,650 2,531 26.2% 8.9% 1.1% 16.2%

Lacrosse 99,750 12,452 12.5% 3.7% 2.6% 6.2%

Soccer 394,105 28,310 7.2% 2.4% 1.9% 2.9%

Softball 362,038 20,419 5.6% 1.8% 1.7% 2.2%

Swimming 173,088 12,980 7.5% 3.3% 1.2% 3.0%

Tennis 189,436 8,596 4.5% 1.5% 1.0% 2.0%

Track & Field 488,267 30,326 6.2% 2.8% 1.5% 1.9%

Volleyball 452,808 17,780 3.9% 1.2% 1.1% 1.6%

Water Polo 21,735 1,217 5.6% 3.3% 1.1% 1.2%

Step-by-step explanation:

The percentage decrease in basketball participation from 2013-2014 to 2014-2015 is  0.35%.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Number of basketball participants in 2013-2014 = 974,398

Number of basketball participants in 2014-2015 = 970,983

Then, the percentage decrease in the participants,

% decrease = (974,398 - 970,983)/ 974,398 × 100

% decrease = 0.35%.

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Answer:

40.36

Step-by-step explanation:

= 26 + 14.36 = 40.36

Answer:

3.75 in decimal form.

Step-by-step explanation:

Answer:

33% or 4/12

Step-by-step explanation:

There are 5 red, 3 green, and 4 yellow, so make it into a fraction. In total there are 12 marbles(5+3+4). There are 4 yellow marbles, so the fraction would be 4/12. Turn this into a percent to get the probability. 4/12 = 0.33 = 33%

Answer:

Yes, it makes it true

Step-by-step explanation:

Plug in 3 and 10 as x and y into the inequality:

y > 2x + 2

10 > 2(3) + 2

10 > 6 + 2

10 > 8

Since 10 is bigger than 8, this inequality is true.

So, (3, 10) makes the inequality true.

Answer:

2\3 cups will be needed..good luck

Answer:

21

Step-by-step explanation:

well first do 12 divided by 4 is 3. than 30-9 is 21. then do 21 +3 is 24 than 24- 3 is 21. therefore your answer is 21.

Answer:

21

Step-by-step explanation:

i just took the test

Step-by-step explanation:

[tex] - \frac{1}{4} \times ( - \frac{6}{11} )[/tex]

[tex] \frac{1}{2} \times \frac{3}{11} [/tex]

[tex] \frac{3}{22} [/tex]

Answer:

3/22

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Subtract  2  from both sides of the equation ,

Simplify , Subtract the numbers , 9x  from both sides of the equation, Combine like terms, Divide both sides of the equation by the same term, then you get your solution! I hope this helps.

Answer:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

Step-by-step explanation:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.

Thus, the correction is as follows:

Given the fraction

[tex]\frac{2}{3}[/tex]

Multiply the nominator and denominator of the fraction by 2

[tex]\frac{2\times 2}{3\times 2}=\frac{4}{6}[/tex]

Thus, the 4/6 is the correct equivalent expression of 2/3.

For literal equations you do not necessarily need a numerical answer. You just need to get the variable you are supposed to solve for on one side of the equation by itself. To do this you will follow the same steps you do when you normally solve for x (or any other variable)

#9-Step by step

Q=25[tex]\pi[/tex]h

divide 25[tex]\pi[/tex] on both sides of the equation

Q/25[tex]\pi[/tex]=h

h=Q/25[tex]\pi[/tex]

Since his can't be simplified any further this is your answer

#11. y=7m+6

First subtract 6 over to the other side

y-6=7m

then divide the 7 over

(y-6)/7=m

m=(y-6)/7

#13 A=(Z+7)3

Divide the three over to the other side of the equation

A/3=Z+7

Now the 7 is free to be subtracted from both sides

(A/3)-7=Z

#17. (2x/5)-9=6

First add 9 to both sides

2x/5=6+9

2x/5=15

Multiply both sides of the equation by 5

2x=5(15)

2x=75

Divide by 2

x=75/2

x=37.5

Answer: The price per ounce of gold increases by 106.63%.

Step-by-step explanation:

Given: Price in 2005 = $ 513

Price in 2015 - $ 1060

Now , [tex]\text{Percentage increase in price}=\dfrac{\text{Change in price}}{\text{ Initial price}}\times100[/tex]

[tex]\Rightarrow\ \text{Percentage increase in price}=\dfrac{1060-513}{513}\times100\\\\=\dfrac{547}{513}\times100\\\\= 1.0663\times100\%=106.63\%[/tex]

hence, the price per ounce of gold increases by 106.63%.

Answer:

I believe it is D.

Step-by-step explanation:

The associative property switches around the order of the digits to make the problem easier. In my opinion it is easiest to multiply the fractions together, and then the whole number.

Answer:

76

Step-by-step explanation:

A full triangle is 180 *always remember

180-153=27

so r is 27

180-77-27=76

or you could do

77+27+x=180

104+x=180

x=180-104

x=76

Answer:

its D 2/6

Step-by-step explanation:

From the given options 2/6 has a repeating decimal form. Therefore, option D is the correct answer.

From the given options we need to find which number has a repeating decimal form.

A repeating decimal or recurring decimal is the decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.

Now, from option A:

1/5=0.2

From option B:

11/25=0.44

From option C:

3/20=0.15

From option D:

2/6​=0.3333333

From the above calculation, we can see that number 2/6 has a repeating decimal form.

Therefore, option D is the correct answer.

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Answer:

v=−5

Step-by-step explanation:

2v + 18 = 16 - 4(v + 7)

2v+18=16−4(v+7)

2v+18=16+(−4)(v)+(−4)(7)(Distribute)

2v+18=16+−4v+−28

2v+18=(−4v)+(16+−28)(Combine Like Terms)

2v+18=−4v+−12

2v+18=−4v−12

Add 4v to both sides.

2v+18+4v=−4v−12+4v

6v+18=−12

Subtract 18 from both sides.

6v+18−18=−12−18

6v=−30

Divide both sides by 6.

6v /6 = −30 /6

v=−5

Answer:

ABC is similar to ADE because ABC and ADE have similar degree angles  

Step-by-step explanation:

Sorry if this is wrong.

Answer:

2 11/24

Step-by-step explanation:

Answer:

2 11/24

Step-by-step explanation:

3/4 = 18/24

7/8 = 21/24

5/6 = 20/24

18 + 21 + 20 = 59

59/24

59 - 48 = 11

59/24 = 2 11/24

I guess the answer is 70°

Answer:

13x=2(5x+3)

13x=10x+6

13x-10x=6

3x=6

x= 6/3

x=2

Answer:

x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

13x=2(5x+3)

13x=(2)(5x)+(2)(3)(Distribute)

13x=10x+6

Step 2: Subtract 10x from both sides.

13x−10x=10x+6−10x

3x=6

Step 3: Divide both sides by 3.

3x/3=6/3

            Answer:

               x=2

have a nice day!!!

Answer:q=-6

Step-by-step explanation:

If the solution of the system is  {(x,y) : x-3y=4}, then both equation should have proportional coefficients:

[tex]1/2=-3/q=4/8[/tex]

Solve it:

1/2 = -3/q

q=-3*2

q=-6

Check whether q=-6 is correct answer, substituting this value into the first ratio:

[tex]1/2=-3/-6=4/8[/tex]

q=-6

hope this helps,

have a great day,

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Answer:

Step-by-step explanation:

If the solution to the system is the first equation only, then both equations should be same:

Double the first equation, then both of coefficients of y and constant will be equal:

Comparing we get Q = 2