(SAT prep) Find the value of x. THIS IS URGENT!! I'LL AWARD WHOEVER GETS THIS RIGHT!!(its timed)

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.

Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies \(\displaystyle \large{m_1m_2 = -1 \longrightarrow m_1 = -\frac{1}{m_2} \longrightarrow m_2 = -\frac{1}{m_1}}\)

We have m1 = -4/3 and m2 = 3/4.

Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.

Answer:

y = 3x - 6 \(\frac{1}{2}\)

Step-by-step explanation:

We can use y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y - intercept

They have already given the slope of the line.

m = 3

And now we have to find the y - intercept using the given coordinates.

( 2 , - 1/2 ) ⇒ ( x , y )

Let us find now.

y = m x + c

-1/2 = 3 × 2 + c

-0.5 = 6 + c

-0.5 - 6 = c

-6.5 = c

-6 1/2 = c

Now let us write the equation of the line.

y = m x + c

y = 3x - 6 \(\frac{1}{2}\)

(fog)(x) = 5x² - 15x + 61

The given functions are:

f(x) = 5x + 1

g(x) = x² - 3x + 12

(fog)(x) = f(g(x))

This means that we are substituting g(x) into f(x)

(fog)(x) = 5(x² - 3x + 12) + 1

(fog)(x) = 5x² - 15x + 60 + 1

This can be further simplified as:

(fog)(x) = 5x² - 15x + 61

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

\(\frac{1}{2}\) cups of flour

Step-by-step explanation:

Substitute 1 in for m.

\(f=\frac{1}{2}(1)\)

Simplify.

\(f=\frac{1}{2}\)

Answer:

-1/3

Step-by-step explanation:

hope this helps!

ANSWERS

• Only grade papers: ,54

• Grade papers or do household chores: ,175

• Not do any of these: ,34

• At least two of these: ,100

• Attend football game ,and, household chores, but not grade papers: ,27

• Attend football game ,or, grade paper, but not do household chores:, 133

• At most one of these:, 163

EXPLANATION

We can put all the given information in a Venn Diagram. We have to draw three circles representing the three activities mentioned: attend a football game, do household chores, and grade papers.

We know that 8 people planned to do all three activities, so to each number of people doing at least one of these, we have to subtract 8. Then, to the total of each activity, we have to subtract the number of people who do more than one. We have the diagram:

With this diagram, we can answer all the questions.

The number of people that only planned to grade papers is 54 since the rest also planned to do other activities.

The number of people that planned to grade papers or do household chores is 75:

In total 263 faculty members were surveyed, so the difference between that and the number of people in the diagram is the number of people that did not plan to do any of these activities,

Hence, 34 people did not plan to do any of these activities.

Now, we have to find the number of people that planned to do two or three activities. This is the sum of the numbers in the intersections,

So, 100 people planned to do at least two of these activities.

The number of people that planned to go to a football game and do household chores, but not grade papers is 27.

Similarly, the number of people that plan to attend a football game or grade papers, but not do household chores is,

So, 133 people planned to attend a football game or grade papers, but not do household chores.

Finally, the number of people who planned to do at most one of these activities is the people who planned to do only one or the ones that planned to do any of these,

Hence, 163 people planned to do at most one of these activities.

Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

Answer:

4

B

Step-by-step explanation:

Answer:

4

next one is B

Step-by-step explanation: EdGE

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

C

Step-by-step explanation:

Correct answer

Answer:

51

Step-by-step explanation:

To find the value of the expression, you need to simplify it following PEMDAS (Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction) If you try and simplify the problem without following the order of operations, you won't always get the right answer.

You want to start by simplifying what is inside the parenthesis.

\((10+5)+6*8-12\\15+6*8-12\)

Next you want to do the multiplication:

\(15+6*8-12\\15+48-12\)

Now we can just combine the rest of the terms

\(15+48-12\\51\)

Answer:

the buttons are alredy on the calculator.

Step-by-step explanation:

Answer:

I can not help if you do not ask what you need help with

Step-by-step explanation:

1. Tell us what you need help with.

2. Someon will help then

a.  the equation with n as the subject is  \(n = y/z\) . b.the equation with z as the subject is \(z = y/n.\)

a) Making n the subject:

Starting with the equation y = zn, where y, z, and n are variables, we want to rearrange the equation to isolate n on one side of the equation.

Step 1: Divide both sides by z to eliminate z from the right-hand side:

y/z = n

Step 2: Swap the sides to get n on the left-hand side:

n = y/z

So, the equation with n as the subject is n = y/z.

Explanation: In this rearrangement, we used the inverse operation of division to isolate n on one side of the equation. By dividing both sides of the equation by z, we eliminated z from the right-hand side, leaving n alone on the left-hand side.

b) Making z the subject:

Starting with the equation y = zn, we want to rearrange the equation to isolate z on one side of the equation.

Step 1: Divide both sides by n to eliminate n from the right-hand side:

y/n = z

Step 2: Swap the sides to get z on the left-hand side:

z = y/n

Therefore,  a.  the equation with n as the subject is  \(n = y/z\) . b.the equation with z as the subject is \(z = y/n.\)

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Answer:

x+4=0,x=−4x−7=0,x=7

Answer:

Triangles A and B are acute, C is right, and I think D might be obtuse.

Step-by-step explanation:

Acute means that the angles are less than 90 degrees, and obtuse means that at least one angle is more than 90 degrees.

Answer:

Triangle A: Acute

Triangle B: Acute

Triangle C: Obtuse

Triangle D: Right

Step-by-step explanation:

Acute angle: 0°-90°

Right angle: 90°

Obtuse angle: 90°-180°

An acute triangle only has acute angles. A right triangle has one right angle. An obtuse triangle has one obtuse angle.

Answer:

6xpi = 18.8495559215

Step-by-step explanation:

to 2 dp 18.85

Answer:

18.8495559215

I think this is the ans

The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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Given number is

To convert this number into scientific notation.

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer:

100, 162, 262

Step-by-step explanation:

to find each number you add the previous number

4+10=14

10+14=24

14+24=38

24+38=62

38+62=100

62+100=162

100+162=262

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

Dividend: Number on top

Divisor: Number on bottom

Quotient: Answer

Dividend ÷ Divisor = Quotient

Required Answer

Current age of John's dad is 42 yrs.

\( \to \: \bf{Solution}\)

Let the current age of John's dad be 'x' yrs.

In that case,

According to the question

\(\sf \longrightarrow \: x + (x - 31) = 53\)

\(\sf \longrightarrow \: 2x - 31 \: = \: 53\)

\(\sf \longrightarrow \: 2x = 53 - 31\)

\(\sf \longrightarrow \: x = \dfrac{84}{2} \)

\(\bf \longrightarrow \boxed{ \red{\bf x = 42}} \: \cdots\star\)

\( \sf\)

Therefore, the current age of John's Dad is 42 years.

\( \rule{200pt}{2pt}\)

Although not asked, we can find John's age too i.e (x - 31) = (42 - 31) = 11 years old.

The finance charge for the month of August is $4.93.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

The starting balance from the previous month is $270.

The transactions on the account for the month are given in the table to the right.

Assume an annual interest rate of 19% on the account and that the billing date is August 1st.

After finding the balance outstanding each day, we sum it up.

And get the average as $305.4839

Now we find the average balance by dividing it by 31 days of the August month.

Average balance = $305.4839

Finance charge = $305.4839  x19 x 31/365 days

Finance charge = $4.929589

Finance charge = $4.93

Therefore, the Finance charge = $4.93.

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