For what value of a are the graphs of 6y=−2x+4 and 2y=ax−5 parallel? perpendicular?

Answer:

A)  $18

B)   [tex]y=2.50x+18[/tex]

C)   Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.

Step-by-step explanation:

(A)

The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be:  [tex](\$2.50*15)=\$37.50[/tex]

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be:  [tex](\$55.50-\$37.50)=\$18[/tex]

(B)

If [tex]x[/tex] represents the number of ride tickets and [tex]y[/tex] represents the total cost, then the cost for [tex]x[/tex] number of ride tickets is [tex]\$2.50x[/tex]

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be:   [tex]y=2.50x+18[/tex]

(C)

In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.

And the constant term is 18, which represents the cost of admission to the fair.

On the right side, both terms contain g, so we can factor it out

T = g(r+vt)

Now, to get g by itself, divide by the things in parentheses

g= T/(r+vt)

To solve the equation T=gr+gvt for g, you can factor out g from the right side, obtaining T=g(r+vt). Then, dividing both sides by (r+vt) will isolate g, resulting in g = T/(r+vt).

To rearrange the equation T=gr+gvt to solve for g, you need to factor out g from the right side of the equation. Factoring out g, you obtain T=g(r+vt). Dividing by (r+vt) on both sides then gives you the equation for g: g = T/(r+vt).

Here are the steps in detail:

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The answer to 8(2 + 7) would be 72 so 16 + 56 = 72 as well which means the answer is D) 16 + 56.

Hello there!

The answer should be the last option D.

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to calculate with parenthesis

(2+7)=9

8*9

Then multiply and divide from left to right

8*9=72

[tex]8*2=16[/tex]

[tex]8*7=56[/tex]

Answer⇒⇒⇒16+56

Hope this helps!

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Have a great day!

-Charlie

Answer:

Yes, it is possible for vertical lines to be parallel.

Step-by-step explanation:

If you have two vertical lines- say one at x=4 and one at x=5, the x coordinate will always equal either 4 or 5. Since 4 and 5 are not the same number, the two lines will never touch, making them parallel.

Vertical lines are considered parallel because they run straight up and down, do not intersect, and maintain the same distance apart, despite having an undefined slope.

Yes, it is possible for vertical lines to be parallel. By definition, parallel lines are two or more lines that never intersect and are always the same distance apart. While the slope of a vertical line is undefined because it would require dividing by zero (as there is no change in the x-value), this does not prevent vertical lines from being parallel. In fact, all vertical lines are parallel to each other because they all run straight up and down, and so they will never meet, regardless of the fact that we cannot assign them a numerical slope value.

An example of this can be seen when considering two vertical lines in a coordinate plane, such as x = 1 and x = 5. Both lines are straight up and down, they do not intersect, and the distance between them is consistent along their entire length, fulfilling the criteria for being parallel lines.

Don't know if this will help but here :)

Answer:

True

Step-by-step explanation:

We are given that when two variables  with same base  are multiplied then the exponents will be add.

We have to find that given statement is true or false.

Rule:[tex]a^b\times a^d=a^{b+d}[/tex]

Suppose we have x and [tex]x^2[/tex]

[tex]x\times x^2=x^{1+2}=x^3[/tex]

There are two variable with same base x  therefore, the power will be added.

Hence, the statement is true.

Answer:True

Simplifying

8x + -10 = 62

Reorder the terms:

-10 + 8x = 62

Solving

-10 + 8x = 62

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 8x = 62 + 10

Combine like terms: -10 + 10 = 0

0 + 8x = 62 + 10

8x = 62 + 10

Combine like terms: 62 + 10 = 72

8x = 72

Divide each side by '8'.

x = 9

Simplifying

x = 9

Answer: h(___9___) = 62

Step-by-step explanation:

The larger number is 40. Smaller number is 10.

Let's denote the smaller number as [tex]\( x \)[/tex] and the larger number as [tex]\( y \)[/tex].

According to the problem:

1. "Twice the smaller of two numbers is one half of the larger number" can be represented as:

[tex]\[ 2x = \frac{1}{2}y \][/tex]

2. "The larger number exceeds three times the smaller number by 10" can be represented as:

[tex]\[ y = 3x + 10 \][/tex]

Now we can solve this system of equations. Let's start by substituting the second equation into the first:

[tex]\[ 2x = \frac{1}{2}(3x + 10) \][/tex]

Multiplying both sides of the equation by 2 to eliminate the fraction:

[tex]\[ 4x = 3x + 10 \][/tex]

Subtracting [tex]\( 3x \)[/tex] from both sides:

[tex]\[ x = 10 \][/tex]

Now, substitute [tex]\( x = 10 \)[/tex] into the second equation to find [tex]\( y \)[/tex]:

[tex]\[ y = 3(10) + 10 \][/tex]

[tex]\[ y = 30 + 10 \][/tex]

[tex]\[ y = 40 \][/tex]

So, the larger number is [tex]\( 40 \)[/tex].

Solve 5+57+4+6+9+2+58+532+790

The correct answer is 1463

(1) Next likely step is

3x = 18   (adding +3 to both sides of the eq.)

(2) 3x -2 = 3x + 5

simplify:

3x-3x = 5+2

0 = 7

This is never true, no matter what value of x is. So there is no (or zero) solution.

The answer is "Zero"

Answer:

3x=18

Step-by-step explanation:

3x-3=15

+3     +3

3X=18

second one is: 3x-2=3x+5

+2     +2

3x=3x7

+3x +3x

6X=7

You are solving the two equations for x.

9.

r = 4 + 7x - sx

We need to solve for x. x is only found in the right side. First, just flip the sides to find x only in the left side.

4 + 7x - sx = r

We want all terms with x on the left side, and all terms without x on the right side. Now we subtract 4 from both sides.

7x - sx = r - 4

Factor x in left side.

x(7 - s) = r - 4

Divide both sides by 7 - s.

[tex] x = \dfrac{r - 4}{7 - s} [/tex]

12.

3z + 8 = 12 + 3x - z

Since x is only in the right side, flip the sides.

12 + 3x - z = 3z + 8

We need to isolate x in the left side, so subtract 12 from both sides and add z to both sides.

3x = 3z + 8 - 12 + z

3x = 4z - 4

Divide both sides by 3.

[tex] x = \dfrac{4z - 4}{3} [/tex]

HI!

It's simple. If y = 14 when x = 8, you would divide 14 by 8, giving you 1.75. THen, you would multiply this with  12 to get your x value, 21.

Hope this helps!

Hey mate

Here's your answer

y varies directly as x:

y ~ x or can be also written as y = kx where k is a constant scalar value

given: y = 14 when x = 8

y = kx or

k = y/x = 14/8 = 7/4

k = 7/4

find x when y = 21

y = k*x

x = y/k = 21/(7/4) = 21 *4 /7 = 12

Hope it helps you!

Biconditional means they can both be the hypothesis and the conclusion.

If a number is divisible by 2, then the number is even.  TRUE

If a number is even, then it is divisible by 2. TRUE

Since both statements are true, then it is a biconditional statement.

Answer: Biconditional

12.5 is the correct number  

P = 2(L + W)

510 = 2(L + W) ...divide both sides by 2

510/2 = L + W

255 = L + W

3/5(255) = 765/5 = 153 cm <== length

2/5(255) = 510/5 = 102 cm <== width

Salinity Cell Diameter

(in micrometers) Lysis?

0.0% N/A Y

0.3% 8.0 μm N

0.6% 7.4 μm N

0.9% 6.6 μm N

1.2% 6.0 μm N

Answer:

30 9/20

Step-by-step explanation:

Answer:

Answer (A)

Step-by-step explanation:

If the expression is indeed [tex]14\cdot 22x+350[/tex] with x representing the number of minutes after the first minute, then the first term, namely:

[tex]14\cdot 22x[/tex]

represents the 14 members handing out 22 fliers per additional minute. And the second term, namely:

[tex]350[/tex]

represents the number of fliers handed out in the first minute, which can be written as 350=14 x 25, so handed out by 14 members, 25 fliers each.

The above said is reflected in the wording of answer (A)

(x/4) +6 = 14

Subtract 6 from each side:

x/4 = 8

Multiply each side by 4:

x = 32

Attempted - 414 shots,

Made - 174 shots,

then fraction of the shots the player made is

[tex]\dfrac{174}{414}.[/tex]

Simplify it

[tex]\dfrac{174}{414}=\dfrac{87}{207}.[/tex]

Answer: in simplest form the fraction is [tex]\dfrac{87}{207}.[/tex]

A very simple way to solve this specific problem is acknowledging the fact that the left hand side (L.H.S) is being multiplied by a factor of 10 to get the equation on the right hand side (R.H.S). So, if we multiply the denominator by 10, we'll get the answer, which would be 1 × 10 = 10 weeks.

Hope I could help! :)

The answer is A. This is because you can see Brian's and Kelsey's cars traveled 4 more centimeters every 2 seconds.

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.

It means they are travelling at a constant rate.

Slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is

[tex]m=\frac{38-34}{3-1}=2[/tex]

It means the Brian's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is

[tex]m=\frac{31-27}{3-1}=2[/tex]

It means the Kelsey's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is

[tex]m=\frac{33-27}{3-1}=3[/tex]

It means the Geoff's car traveled at the rate of 3 cm per sec.

Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.

Answer:0.06

Step-by-step explanation:

As the two events are independent

Therefore

[tex]P(AandB) =P(A)\times P(B) [/tex]

As it is given that [tex]P(A) = 0.3 [/tex] and [tex]P(B) = 0.20 [/tex]

Putting these value we get

[tex]P(AandB) =0.3\times0.2 = 0.06 [/tex]

[tex] P(AandB)= 0.06 [/tex] is the required answer

Answer:

0.06

Step-by-step explanation:

just got it right on edge

Final answer:

The percent decrease in the price of the hand lotion is calculated by subtracting the sale price from the original price, dividing by the original price, and then multiplying by 100 to get the percentage. This results in a 20% decrease in price.

Explanation:

To find the percent decrease in the price of the hand lotion, we need to calculate the difference in price between the original and the sale price, then divide by the original price and multiply by 100.

Original price = $3.00
Sale price = $2.40

Price decrease = Original price - Sale price
Price decrease = $3.00 - $2.40
Price decrease = $0.60

Now, we calculate the percent decrease as follows:

Percent decrease = (Price decrease / Original price) x 100
Percent decrease = ($0.60 / $3.00) x 100
Percent decrease = 0.20 x 100

Percent decrease = 20%

The correct answer is C: 20%.

*To solve for a variable, you have to isolate the desired variable onto 1 side

So firstly, subtract 2p on both sides of the equation: [tex]-a=p+b[/tex]

Next, subtract b on both sides of the equation, and your answer will be [tex]-a-b=p[/tex]