A membership at Gym A costs $50 for 5 months. A membership at Gym B down the street costs $40 for 3 months. You write two equations in the form of y=kx to try and figure out which membership would be cheaper for a year. What is the value of k for the cheaper membership?

The **cost **for a year is **cheaper **in the **Gym A** than Gym B. The **value **of k for the cheaper **membership **would be; $10.

An **equation **is an expression that shows the relationship between two or more numbers and **variables**. A linear equation is an equation that **increases **at a constant rate.

An equation in the form y = kx is called a **linear equation**.

In the equation of form y = kx

y = **dependent variable **which is the total cost

x = number of months

k = constant of **proportion **/ cost per month

Thus k = y/x

The **Cost **per month at Gym A = $50 / 5 = $10

The Cost per **month **at Gym B = $40 / 3 = $13.33

The **Membership **cost at Gym A for a year = $10 x 12 = $120

The Membership cost at **Gym B** for a year = $13.33 x 12 = $160

Hence, The **cost **for a year is **cheaper **in the **Gym A** than Gym B. The **value **of k for the cheaper **membership **would be; $10.

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Latoya works mowing lawns and babysitting. She earns $9.40 an hour for mowing and $8.10an hour for babysitting. How much will she earn for 4 hours of mowing and hour of babysitting?

Answer:

$45.70

Step-by-step explanation:

$9.40 four times and $8.10 1 time so 9.40 x 4 = 37.6 + 8.10 = 45.70

List 2 ways that will not prove two triangles are congruent

**Answer:**

first way: 2 Angles and one side

second way: 2 sides and one angle

**Answer:**

**Step-by-step explanation:**

congruent triangles

how to tell if triangles are congruent using SSS, SAS, ASA, and AAS rules

why AAA and SSA do not work as congruence shortcuts

the Hypotenuse Leg Rule for right triangles

how to use CPCTC (corresponding parts of congruent triangles are congruent)

What is the magnitude, ||v|| of vector v = (4, 3)?

F, √2

G, √6

H. 2√5

J. 5

K. 7

**Answer:**

J

**Step-by-step explanation:**

the magnitude of a vector (a, b ) is

[tex]\sqrt{a^2+b^2}[/tex]

then magnitude of vector v = (4, 3 ) is

| v | = [tex]\sqrt{4^2+3^2}[/tex] = [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5

The

measure of an acute angle is represented by (3x + 12)°. which is not a possible value of x

**Answer:**

I don't know about this b

**Answer:**

possible value would be 28

**Step-by-step explanation:**

an acute angle is an angle less then 90° , that is

3x + 12 < 90 ( subtract 12 from both sides )

3x < 78 ( divide both sides by 3 )

x < 26

thus any value of x greater than 26 is not possible

so x = 28 is a possible value of x

Multiply.

3y^2(-5y^4)

Simplify your answer as much as possible.

**Answer:**

[tex]\boxed{\sf{-15y^6}}[/tex]

**Step-by-step explanation:**

To solve this, you have to use a distributive property to multiply the numbers from left to right.

Distributive property:

A(B+C)=AB+AC

A(B-C)=AB-AC

[tex]\sf{3y^2\left(-5y^4\right)=-3y^2* 5y^4}[/tex]

Multiply.

-3*5=-15

-15y²y⁴

[tex]\sf{y^2y^4=y^2^+^4=y^6}[/tex]

**=-15y⁶**

Therefore, the final answer is **-15y⁶**.

I hope this helps, let me know if you have any questions.

y is inversely proportional to x.

when y = 80, x = 3

Work out x when y = 24

The most appropriate choice for** proportionality** will be given by

When y = 24, x = 10

**What is proportionality?**

Any** relationship **which maintains the same **ratio** is known as **proportionality.**

**Proportionality** can be of two types-

**Direct Proportion** and **inverse proportion**

**Direct proportion**

Two quantities are said to be **directly proportional**, if on increasing the value of one quantity, the value of other quantity also increases and vice versa

For Example- Cost of a commodity and quantity of a commodity are direct proportional.

**Inverse proportion**

Two quantities are said to be ** inversely proportion**, if on increasing the value of one quantity, the value of other quantity decreases.

For Example- Number of men and time taken by those men to do a certain work are inversely proportional.

Here,

y is inversely proportional to x

[tex]y = k \times \frac{1}{x}[/tex], where [tex]k[/tex] is an arbitrary constant known as proportionality constant

when y = 80, x =3

Putting the value of y and x in the above equation,

[tex]80[/tex] = [tex]k \times \frac{1}{3}[/tex]

[tex]k = 80 \times 3\\k = 240[/tex]

So [tex]y = 240 \times \frac{1}{x}[/tex]

when [tex]y = 24[/tex]

[tex]24 = 240 \times \frac{1}{x}[/tex]

[tex]x = \frac{240}{24}[/tex]

[tex]x = 10[/tex]

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Write and solve an inequality which can be used to determine xx, the number of visits Liam can make to earn his first free movie ticket.

The number of visits thay **Liam** can make to earn his first free **movie ticket** is 9 visit.

Let x represent the number of **visits**

Since he receives 50 **rewards** points just for signing up and earns 12.5 points for each visit to the movie theater. This will be illustrated as:

50 + 12.5x >= 160

12.5x >= 160 - 50

12.5x >= 110

Divide

x >= 110/12.5

x >= 8.8

Therefore, he will need at least 9 **visit**.

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Liam has a points card for a movie theater.

He receives 50 rewards points just for signing up.

He earns 12.5 points for each visit to the movie theater.

He needs at least 160 points for a free movie ticket.

What is the missing length?? Of this triangular prism

**Answer:**

h = 2.5 cm

**Step-by-step explanation:**

the volume (V) of a triangular prism is calculated as

V = area of triangular end × length , that is

V = [tex]\frac{1}{2}[/tex] bh × l

given b = 4, l = 7 and V = 35 , then

[tex]\frac{1}{2}[/tex] × 4 × h × 7 = 35

14h = 35 ( divide both sides by 14 )

h = 2.5 cm

Find the distance between y=1/2x+2 and x-2y=6

Show work and give exact distance

The **distance** between these** two lines** y=1/2x+2 and x-2y=6 is **10/√5**

**Distance between two lines:**

We know that, the parallel lines can be extended till **infinity**. The slopes of two parallel lines are **equal**.

Distance d between two parallel lines

y = mx + c1 and

y = mx + c2 is calculated by the

**d = |C1–C2|/√(A² + B²)**

Given,

Here we have the two line equation they are,

y=1/2x+2 and x-2y=6

And we need to find the distance between them.

To find the distance between the lines, then we ahve to make the equation into standard form, that is,

**y = mx + c**

Here the first equation is in standard form, so we have to convert the second one,

So, the second equation is written as,

x - 2y = 6

-2y = 6 - x

y = (6 - x)/-2

y = -3 + 1/2 x

y = 1/2 x - 3

Now, we have to derive the value of the following from the given equation, then we get,

Slopes are same m1 = m2 = 1/2 and c1 = 2 ,c2 = -3.

here a = 1/2, b = -1

Now, apply the values on the formula, then we get,

d = |2 - (-3)|/√(1/2)² + (-1)²

d = 5/√1/4 +1

d = 5/√5/4

d = 5/√5/2

d = 10/√5

Therefore, the distance between these two equation is 10/√5.

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HELP PLEASE ON 20-28

**Answer:**

See below

**Step-by-step explanation:**

3 How much would a $15.99 book cost if

your state sales tax is 5.65%?

A $18.45

C $20.64

B $16.89

D $16.35

well, is simply the price plus tax, so

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.65\% of 15.99}}{\left( \cfrac{5.65}{100} \right)15.99} ~~ \approx ~~ 0.90~\hfill \underset{total~cost}{\stackrel{15.99~~ + ~~0.90}{\approx\text{\LARGE 16.89}}}[/tex]

Find the word tradition in paragraph 5 of “The Lottery.” Use context clues in the surrounding sentences, as well as the sentence in which the word appears, to determine the word’s meaning. Write your definition here and identify clues that helped you figure out its meaning.

Answer:

Step-by-step explanation:

Please help me answer this question as soon as possible

The image and preimage coincide when reflecting a figure in a line or a point. Every point of a figure is translated to an image across a fixed line via a **reflection**. The fixed line is referred to as the **reflection line**

An image can be produced by the reflection of a shape along a line of reflection. Th**e mirror line** is another name for the reflection line.

Reflections move each shape's points down a line known as the line of reflection (sometimes informally called the mirror line). The distance between a point and its matching point in the image is the **same.**

Consider the case when the point (6, 7) is reflected across the line **y = x. **The reflected point's coordinates are (7, 6). Similar to reflections across

**y = -x**, reflections across **y = -x** involve not only reversing the order of the coordinates but also their signs. For instance, when reflected over the line y = -x, (8, -2) becomes (2, -8)

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30% of a sum of money is rupees 300. what is the total amount?

step by step explanation please

subject: linear equations in math

the total amount is 9000

Which of the following can be used to represent the domain and range of f(x) = |x|? I. Domain: x ∈ ; Range: y ≥ 0 II. Domain: {x|x ∈ }; Range: {y|y ∈ , y ≥ 0} III. Domain: (–∞, ∞ ) ; Range: [0, ∞)

The **domain** and** range **of f(x) = |x| are Domain:** (–∞, ∞ )** ; Range: **[0, ∞)**

f(x) = |x| is the **absolute value function**.

It always gives non-negative function values.

The absolute value function is defined as,

**|x| = { x ; if x ≥ 0**

** { -x ; if x < 0**

So this definition says that if x is a non-negative real number, then the function gives the non-negative value itself.

Also if x is a negative real number, then -x is a positive real number which is the outcome from the **absolute value function** for negative real numbers.

This** function** is defined for all real numbers. Hence the **domain** is all the real numbers which is** (–∞, ∞ )**.

But the** range **of the function are only non-negative real numbers as absolute value function gives only non-negative values. So the range is **[0, ∞).**

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5х +2y=10

5x+2y=20

Solve system by using either elimination or substitution

**Answer:**

No solution

**Step-by-step explanation:**

The method that will use is substitution

ill use the equation 5x+2y=10 and substitute into the other one

5x+2y=10

2y=10-5x

y=5-2.5x

Now we must insert this equation into another

5x + 2(5-2.5x) = 20

5x+10-5x = 20

10=20

10 does not equal to 20 so it has no solution

**Please mark as brainliest**

This is by using substitution method

Two sets, R and S, are described below.

The sum of the elements in set R equals

the sum of the elements in set S.

R = {5, x, 3, 8}

S = {6, y, 4, 1}

What is the value of x − y ?

E. −7

F. −5

G. 5

H. 7

**Answer:**

F. -5

**Step-by-step explanation:**

R = {5, x, 3, 8}

Sum of R: x + 16

S = {6, y, 4, 1}

Sum of S: y + 11

The sums are equal.

x + 16 = y + 11

x - y = 11 - 16

x - y = -5

Answer: F. -5

Write the equation of a line using the given information:

Same slope as x=-2 and passes through the point (7,-1)

**Answer:**

y-y1=m(x-x1)

y+1=-2(x-7)

y+1=-2x+14

-1 -1

y=-2x+13

**Step-by-step explanation:**

Evaluate 8x - 4y when x = 2 and y = 3(b) o

EXPLANATION

Given the equation 8x -4y

When x=2 and y=3 the resulting expression would be as follows:

8*2 -4*3=

=16 - 12

= 4

The answer is **4**

A 8 letter Code word is selected. What is the probability that there are no repeated letters?

Answer:

0.3016

Step-by-step explanation:

If we have an 8 letter code word...

Total number of possible letters = 26

The number of letters possible = 8

So...

26 ^ 8 = 0.3016

Hope this helps!

**Answer:**

[tex]\approx 0.30164[/tex]

**Step-by-step explanation:**

The Alphabet contains **26 characters,** and to better understand this probability, let's do each letter one step at a time.

Any letter being chosen should have an **equal probability of**: [tex]\frac{1}{26}[/tex], and for the first letter we don't really have to worry about choosing a non-repeated letter, since it's impossible to have a non-repeated letter on the first letter... since it's the first letter, so no other letter has been chosen.

This means we have a probability of: **1** to get a non-repeated letter when we choose the first letter.

The probability when we choose the 2nd letter is different, since there is a possibility of choosing a repeated letter. As stated above, the probability of choosing any one letter should be **equal** for each letter and is: [tex]\frac{1}{26}[/tex]

Since we want to avoid this one letter we choose in the beginning, the probability of choosing it is: [tex]\frac{1}{26}[/tex], which means the probability of **not choosing it** is: [tex]\frac{25}{26}[/tex]

For the 3rd letter it follows the same pattern, assuming we have two non-repeated letters, the probability of choosing a repeated letter from the previous two is there combined probabilities of: [tex]\frac{1}{26} + \frac{1}{26} = \frac{2}{26}[/tex]. Since we want a **non-repeated letter**, we subtract this probability from one, because the entire probability will equal one.

This gives us a probability of: [tex]\frac{24}{26}[/tex] of **choosing a non-repeated letter**.

You'll notice a pattern, the numerator is decreasing by one! This makes sense since each time we choose a non-repeated letter, well the number of non-repeated letters will decrease by one.

This gives us the probability for each letter up to eight letters

[tex]\frac{26}{26}, \frac{25}{26}, \frac{24}{26}, \frac{23}{26}, \frac{22}{26}, \frac{21}{26}, \frac{20}{26}, \frac{19}{26}[/tex]

To get an **eight letter** code that has no **no repeated letters**, all these events have to occur. To find the collective probabilities of all these events happening, we simply **multiply them**, assuming they're **independent** which we have no reason to believe they aren't **independent**.

This gives us a total probability of approximately: [tex]0.30164[/tex]

David leaves the house to go to school. He walks 200 m west and 45 m north. how far away is he from his starting point?

**Step-by-step explanation:**

...............

............

5ljhgfghjkjhghjkjhgfghjhi xbhljxjhgv sgdx

I believe the 5/sgdx would have the meaning of a fraction that is unwanted…

x² + 6x-27=(x- -)(x +-)

**Answer:**

[tex] {x}^{2} + 6x - 27 = (x + 9)(x - 3)[/tex]

Answer:

x^2 + 6x - 27 = (x - 3) (x + 9)

x^2 + 6x - 27 = (x - 3) (x + 9)

(9)

Use the following system of equations.

{9x + 5y = 35

{-2x - 5y = 0

What do you get when you add the 2 equations together?

(10)

Using question 9, what does x equal?

(11)

Using the equation

{9x + 5y = 35

{-2x - 5y = 0

Use your answer or (9) to find what y equals.

What does y equal?

**Step-by-step explanation:**

(9)

9x + 5y = 35

-2x - 5y = 0

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

7x 0 = 35

(10)

7x = 35

x = 5

(11)

we pick one of the 2 equations, e.g.

-2x - 5y = 0

-2×5 - 5y = 0

-10 - 5y = 0

-10 = 5y

y = -10/5 = -2

371 + 18x ≥ 566 solve for X

[tex]18x \geqslant 566 - 371 \\ 18x \geqslant 195 \\ \frac{18x}{18} \geqslant \frac{195}{18} \\ x \geqslant 10.8333333333[/tex]

YOU CAN EVEN WRITE IT IN THE FRACTION FORM .

BE REMINDED THAT **<>**** ****CHANGE**** ****SIGN**** ****WHEN**** ****YOU**** ****DIVIDE**** ****OR**** ****MULTIPLY**** ****A**** ****NEGATIVE**** ****NUMBER**** ****ONLY****.**

**HOPE**** ****THIS HELPS**** **

**Answer: **

**Step-by-step explanation:**

18x ≥ 195 if equal to the answer is 10.83(3)

jane is building a basic stand using wooden blocks. A wooden block that is 5/8 inch thick is glued to a wooden block that is 3/4 inch thick. What is the combined thicknedd of the two blocks of wood

**Answer:**

1 ⅜

**Step-by-step explanation:**

⅝ + ¾ = 11/8 or 1 ⅜

an ant starts from the origin (0, 0) of an xy-grid. each time it moves, it goes either up (50% chance) or right (50% chance) by one unit of distance. after 12 moves, what is the probability that the ant is located at the point (4, 8)?

The given ant can only go up or right here in every turn and as there is a 50% chance for either of

them, therefore each of the paths in 12 moves would be equally likely here.

As for each of the 12 steps here, there are 2 ways that the ant can move, therefore total number of

paths in 12 moves is computed as:

= 2^12 here.

We use the multiplication rule for independent events here to get the total number of outcomes here

by getting the product of the number of outcomes for each of those independent events.

Total number of 12 move paths such that we reach 4, 8 here is computed as the number of

permutation of 12 moves with 4 rights and 8 up points here. This is computed here as:

12!/(8!4!) = 495

Therefore, the **probability** that the ant is located at (4, 8) here is computed as:

=

495/(2^12)

= 0.1208

Therefore, 0.1208 is the required **probability** here

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Henry can write 5 pages of his novel in 3 hours.

At this rate, how many pages can Henry write in 8 hours?

pages

**Answer:**

13 1/3 pages

**Step-by-step explanation:**

Unit rate = 5 p / 3 h

5p / 3 h * 8h = 13 1/3 page

He can write 13 pages

I need all of the answers, its like 10 or so?

The proof that shows that triangles PQR and TSR are **similar** by **AA similarity theorem** is explained below.

The **AA similarity theorem** proves that two triangles are **similar **if we can show that two of its corresponding angles are congruent to each other.

Therefore, for triangles PQR and TSR to be **similar** by the **AA similarity theorem**, they must have two corresponding congruent angles.

The proof below shows the triangles, ΔPQR ~ ΔTSR are **similar** to each other:

Statement Reasons

1. QR ⊥ PT 1. Given

2. ∠QRP and ∠SRT are right angles 2. Def. of perpendicular

3. ∠QRP ≅ ∠SRT 3. All right angles are ≅

4. ∠QPR ≅ ∠STR 4. Given

5. ΔPQR ~ ΔTSR 5. **AA similarity theorem**

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If 1 ft = 12 inches, how many square inches are in the rectangle shown below

Based on the dimensions of the **rectangle**, the number of **square inches **that are in the rectangle are 23,040 inches ²

x

First, convert the units of the **rectangle **from **feet **to **inches **so that it is easier to find the area.

Length of rectangle in inches:

= 16 x 12 inches per ft

= 192 inches

Width of rectangle:

= 10 x 12 inches per ft

= 120 inches

The area is:

= 192 x 120

= 23,040 inches ²

In conclusion, there are 23,040** square inches** in the **rectangle**.

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Blue light has a frequency of 6.46 x 10^14 s-1. What is the energy of one quantum of blue light?
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