4p - 3(p + 5) = 3p - 17

Answer:

x=20

Step-by-step explanation:

Let  = a 30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5 x

    +2x         +2x

-----------------------

50 = 40 + 0.5 x

-40   -40

-------------------

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

Answer:

sure but whats the question

Step-by-step explanation:

Answer:

20.75

Step-by-step explanation:

The closest to the length of one side of the square will be 9.11 meters.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = a² square units

The area of a square is 83 square meters. Then the side length of the square is given as,

A = a²

83 = a²

a = √83

a = 9.11 meters

The closest to the length of one side of the square will be 9.11 meters.

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Answer:

All of them.

Step-by-step explanation:

For rational functions, the domain is all real numbers except for the zeros of the denominator.

Therefore, to find the x-values that are not in the domain, we need to solve for the zeros of the denominator. Therefore, set the denominator to zero:

[tex]x(x-1)(x^2-4)=0[/tex]

Zero Product Property:

[tex]x\neq 0\text{ or }x-1\neq 0\text{ or }x^2-4\neq 0[/tex]

Solve for the x in each of the three equations. The first one is already solved. Thus:

[tex]x-1\neq 0 \text{ or }x^2-4\neq 0\\x\neq 1\text{ or }x^2\neq 4\\x\neq 1 \text{ or }x\neq\pm 2[/tex]

Thus, the values that cannot be in the domain of the rational function is:

[tex]x=-2,0,1,2[/tex]

Click all the options.

Answer:

[tex]\Large \boxed{\mathrm{All \ options}}[/tex]

Step-by-step explanation:

The domain of a function are all possible values for x.

To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.

[tex]x(x-1)(x^2-4)=0[/tex]

Setting the factors equal to 0.

[tex]x=0 \\ \\ \\\\ x-1=0 \\ \\ x=1 \\ \\ \\ \\ x^2 -4=0 \\ \\ x^2 =4 \\ \\ x=\pm 2[/tex]

The values of x that are not in the domain of the rational function are x=-2, x=1, x=2, and x=0.

Answer:            535

                         0.20x+350

Step-by-step explanation:

If Grayson makes $925 in sales he receives $535 and if he makes x sales then he receives $350 +0.2x

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here he makes a base income of $350 and he also earns 20% of his sales output and thus if he makes $925, his total income is

= 350+0.2×925

=$535

And let Grayson make x sales in one week then his salary will be

= 350+0.2x

Hence, If Grayson makes $925 in sales he receives $535 and if he makes x sales then he receives $350 +0.2x

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Answer: B (-1,4)

Step-by-step explanation:

Answer:

-5.4 C

Step-by-step explanation:

H) because if you create a number line, you'll see that -5 is less than -3 and positive 1.

Answer:

Mari used a thermometer to record temperatures of -3.4° Celsius and 1.6° Celsius.

Which temperature in degrees Celsius is less than both of the temperatures Mari recorded?

Step-by-step explanation:

Answer:

75.091

Step-by-step explanation:

Answer:

STEP 1. Locate the y-intercept on the graph

- Locate 5 on the y-axis

STEP 2. Use [Rise/Run] method to graph the slope

- Since the slope is 2, [Rise/Run] will be [2/1] which means 2 unit vertically (y), 1 unit horizontally (x)

----------------------

and boom!! That's all!!

----------------------

EXTRA, this is the graph for y=2x+5

Hope this helps!! :)

Please let me know if you have any question

Answer: 11.) -6. 12.) 4/5

For the square roots, there should be a plus&minus sign but my keyboard doesn't have that.

13.) 3 14.) 8

explanation: For a square root, you are looking for a number that was multiplied by itself to become the number under the radical.

11 is a bit tricky since there is a negative sign before the radical. 6×6=36 -6 × -6 = 36. It seems they want only the -6 here.

4/5 ×4/5 = 16/25

For cube root, you need the number that is multiplied by itself three times. 3×3×3 = 27 8×8×8=512

Answer:

13

Step-by-step explanation:

The mean of all the numbers is the sum of the numbers divided by the number of numbers.

The sum of all of the numbers is 10 + 14 + 16 + 12 + 14 + 14 + 11 = 91.

We then divide by 7, getting 13.

Answer:

13

Step-by-step explanation:

The mean of a data set is the average value of the set.  

To find the average, we simply need to add all the values and then divide by the number of values.

There are 7 values. So, add all of them and then divide by 7.

[tex]\bar x=\frac{10+14+16+12+14+14+11}{7}[/tex]

Add:

[tex]\bar x=\frac{91}{7}[/tex]

Divide:

[tex]\bar x=13[/tex]

Therefore, our average is 13.  

(Note that the x with the bar on the top is a common way to denote the mean.)

Answer:

Hey there!

A congruence transformation maintains the size of the shape.

Thus, a dilation with scale factor 2 is not a congruence transformation.

Let me know if this helps :)

Answer:

2.2 and 6.6

Step-by-step explanation:

Given:

Then:

r + 4.4 = 6.6 Mph rate of hiker 2

Answer:

0.5

Step-by-step explanation:

if you do 4.4 times 10 you get 44 then you divide 44 by 88 and get 0.5

Answer:

A, Harry has $27 more.

Step-by-step explanation:

I could be wrong but.

1) debit cards are of your money, if you have $14 in your account it means you have $14 that you can spend without owing anything.

2) credit cards allow you to borrow money with the expectation that you pay it back. So if you have $13 of credit, you owe $13 which I guess could be seen as -$13.

3) the distance between -13 and 14 is 27.

Answer:

76

Step-by-step explanation:

so first the equation for the situation has been given which is

194=1/2x + 2x - 16

now you can just solve since it's a linear equation

194=2.5x -16

take 16 to the other side to get

210=2.5x

solve to get x (adult price)

which is 84

remember the. child's price is 8 less

84-8=76

Answer:

22.B) union

20.A) x+y=3^2

Step-by-step explanation:

22. The compound inequality [tex]1-4x < 21[/tex] and [tex]5x+2 > 22[/tex] is intersection, option A is correct.

21.  [tex]x+y=3^2[/tex]  is not a function. Option A is correct.

22. The compound inequality [tex]1-4x < 21[/tex] and [tex]5x+2 > 22[/tex] is an example of a compound inequality involving "and."

Both inequalities need to be satisfied simultaneously for the compound inequality to be true.

Hence, the  compound inequality is intersection.

21.  A function is a relationship between two variables in which each input value (x) corresponds to exactly one output value (y).

In this case, the equation [tex]x+y=3^2[/tex] does not represent a clear relationship between x and y.

[tex]x+y=3^2[/tex] represents a curve in the xy-plane rather than a function.

Hence,  [tex]x+y=3^2[/tex]  is not a function.

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Answer:

P=10√2

Step-by-step explanation:

Perimeter of rectangle= 2 length + 2 width

P=2l+2w

P=2(√18)+2(√8)

P=2(√9*2)+2(√4*2)

P=2*3*√2 +2*2√2

P=6√2+4√2

P=10√2

The correct option that gives a proper logic for the argument that "If X, then Y. If Y, then Z. Y is true" is given by;

Option B; X is unknown, Z is true

If X, then Y. If Y, then Z. Y is true.

However, we can't say anything about X as X is unknown.

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Answer:

[tex]4\frac{1}{4}[/tex] gallons

Explanation:

Total amount of soda bought by Yoxel = [tex]4\frac{1}{2}[/tex] =[tex]\frac{9}{2}[/tex] gallons

Amount of Pepsi =[tex]\frac{1}{4}[/tex] gallons

Therfore,

Amount of sprite =[tex]=\frac{9}{2} -\frac{1}{4}\\=\frac{18-1}{4} \\=\frac{17}{4}\\ =4\frac{1}{4}[/tex]gallons

Answer:

∠ 1 = 105° , ∠ 2 = 75°

Step-by-step explanation:

Since the lines are parallel then

∠ 2 = 75° ( corresponding angle )

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 1 = 180° - 75° = 105°

Answer:

y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6-1}{4+2}[/tex] = [tex]\frac{5}{6}[/tex] , thus

y = [tex]\frac{5}{6}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6 ), then

6 = [tex]\frac{20}{6}[/tex] + c ⇒ c = 6 - [tex]\frac{20}{6}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]

y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex] ← equation of line

Answer:

Hey there!

The star is 24(1000), or 24000 parsecs away.

The star is 24000(3.26), or 86400 light-years away.

Let me know if this helps :)

Answer: 9:25 ?

Step-by-step explanation:

4.5 × 2 = 9

12.5 × 2 = 25

4.5:12.5 ratio simplified is 9:25

Answer: 0=1

Step-by-step explanation: This is a false because we know zero can’t equal one. Therefore, we can conclude that the problem has no solution.

Answer:

8 weeks

Step-by-step explanation:

Answer:

8 weeks

Step-by-step explanation:

he receives 5 for a week and has 15 in his bank account, so that means we have to subtract 15 from 55 to find how many he has.

55-15=40

1 week= 5

? =40

after you criss -cross you will get..

40*1/5=8 weeks

Answer: -3/5, -3/8, -1/4, 1/8, 1/5

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

Answer:

B.  x ≤ 2.

Step-by-step explanation:

56 - 10x ≥ 20 + 8x

-18x ≥ -36

x ≤ -36/-18 = 2.      ( Note that the inequality sign flips because we are dividing by a negative value).

Answer:8.34 x 10-4

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Answer:8.34 x 10 -4 is the answer