Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11

Answer:

The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]

Step-by-step explanation:

Area of a rectangle:

A rectangle has length l and width w. The area of a rectangle is:

[tex]A = lw[/tex]

A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.

This means that [tex]l = 8x - 2, w = 3x - 3[/tex]

Which expression represents the area of the court?

The tennis court is rectangular, so

[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]

The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]

Answer:

2/3 = 16/24

7/8 = 21/24

Step-by-step explanation:

Answer:

~1467

Step-by-step explanation:

$200,000 x 8.5% or .085 = $17,000 Annualy

$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments

Answer is $1467 Rounded

The monthly interest payment is $1,467.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]

= $1,467

Therefore we can conclude that the monthly interest payment is $1,467.

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Answer:

∠J=85°

Step-by-step explanation:

Theory to know when answering this question:

1. The sum of the angles in a quadrilateral (shape with four sides) is 360°

2. Similar shapes have the same angles

Point 1 tells us that ∠P+∠Q+∠S+∠R=360

Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.

∴∠F+∠Q+∠J+∠R=360

109+122+∠J+44=360

∠J=360-275=85°

the third one, you have written not clearly

bwhwhsbsh hsbsvs bw wjw wjw whe

The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.

Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .

Given,

Two triangles with different side lengths.

Here,

The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.

Here,

Triangles are of same shape but the corresponding sides are not in same proportions.

∴ 8/5 = 10/6.25 ≠  12/7

Therefore the two triangles are not similar.

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On the roll a special "24-sided" die, the probability that the number is a "1" or a "2" is 1/12.

The probability of rolling a "1" or "2" on a 24-sided die is the sum of the probabilities of rolling a 1 and rolling a 2, because the events are mutually exclusive.

Since each face of the 24 sided-die is equally likely to come up, the probability of rolling any particular-face is 1/24.

So, the probability of rolling a "1" is 1/24, and the probability of rolling a "2" is also 1/24.

The probability of rolling either a 1 or a 2 is the sum of these probabilities:

⇒ P(rolling a 1 or a 2) = P(rolling a 1) + P(rolling a 2),

⇒ 1/24 + 1/24,

⇒ 2/24,

⇒ 1/12.

Therefore, the required probability is 1/12.

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As we know that,

Pythagoras triplet

1) a² + b² = c²

Let

[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]

[tex]\sf \: 4 + 4 = 16[/tex]

2) a² + b² = c²

[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]

[tex]\sf \: 25 + 144 = 169[/tex]

3)a² + b² = c²

[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]

[tex]\sf 9 + 25 = 36[/tex]

4) a² + b² = c²

[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]

[tex]\sf \: 25 + 16 = 49[/tex]

Only B can be Pythagoras triplet.

Given:

Purchasing price = 6.1 lakh

Amount spent of repair = 30000

Selling price = 8 lakh

To find:

The gain percentage.

Solution:

We have,

Purchasing price = 6.1 lakh

Amount spent of repair = 30000 = 0.3 lakh

So, total cost price is

[tex]C.P.=6.1+0.3[/tex]

[tex]C.P.=6.4[/tex]

The total cost price is 6.4.

Selling price(S.P.) = 8 lakh

Now,

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]

[tex]Gain\%=25\%[/tex]

Therefore, the gain percent is 25%.

Answer:

1440 cubic yards

Step-by-step explanation:

There are 3 feet in a yard. Multiply 480 x 3 using the algorithm and you get 1440.

Answer:

We conclude that:

csc (U) = 26 / 24        

Step-by-step explanation:

Given

To determine

csc (U) = ?

Using the trigonometric ration

sin Ф = opposite / hypotenuse

substituting Ф = U, opposite = 24, hypotenuse = 26

sin (U) = 24/26

We know that: csc (U) = [1 ] / [sin(U)]

Therefore,

csc (U) = [1 ] / [sin(U)]

            = 26 / 24

Therefore, we conclude that:

csc (U) = 26 / 24        

Answer:

2

Step-by-step explanation:

you just multiply

Answer:

Step-by-step explanation:

x + 159 = 180

x = 21

Answer:

x + 159 = 180

x = 21

Step-by-step explanation:

Answer: The area is 5x + 20

Step-by-step explanation:

Add all the numbers up.

7 + 4x - 8 = 3

13 + (x + 8) = (x + 21)

Therefore, your answer is 5x + 20

Let me know if you have any questions!

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Step-by-step explanation: To find how many girls are blonde-haired, we'll have to subtract.

120 - 20 =

1. Subtract 0 by 0.

0 - 0 = 0

2. Subtract 2 by 2.

2 - 2 = 0

3. Since there isn't a number in the hundred's place, bring the 1 down.

Therefore, your answer is: 100. There are 100 blonde-haired girls.

Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

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Step-by-step explanation:

See the attached for the proof

Answer:

$36.00

Step-by-step explanation:

Answer:

b. No, the probability of getting the broken tape measure changes as there is no replacement.

Step-by-step explanation:

For each tape measure, there are only two possible outcomes. Either it is broken, or it is not, which means that the first condition for the binomial distribution is respected.

However, the tapes are not returned to the box, which means that in each trial, the probabilities of getting the tape with defect changes, which means that the binomial distribution cannot be used. So option b is the correct answer

Answer:

The graph would be:

21      17

12      4

Step-by-step explanation:

Answer: acute angle, straight line

Step-by-step explanation:

Answer:

I'm pretty sure it's 2 and 3

If there's a graph, maybe I could help...?

Answer:

See the attached

Step-by-step explanation:

The answer is in the attached picture

Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

C

Step-by-step explanation:

Exact Form:

x=5/4

Decimal Form:

x=1.25

Mixed Number Form:

x= 1 1/4

The correct answer is,

[tex]x = \frac{5}{2} [/tex]