the x- and y-values, respectively, then y =

a) x

b) x-2

c) x +5

d) 3x

e) 3x -1

y = 3x - 1 is the equation in **slope-intercept form.**

**What exactly does slope intercept mean?**

y = 3x +b passes through the point (2,5)

5 = 3 * 2 + b

5 = 6 + b

b = 5 -6

b = -1

y = 3x +b

y = 3x - 1 is the equation in slope-intercept form.

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Homework #5

Question 9 of 12

AMORTIZATION Car loans are often spread into multiple regular payments over time. This process is called amortization. Each payment

reduces the remaining principal, and the interest accrued for the next payment is based on the reduced principal. The monthly payment is

fixed; so, with each subsequent payment, an increasing portion goes toward principal, and a decreasing portion goes toward interest. Lori

takes out a car loan of $15,000 for 3 years, with a 3% interest rate. When the loan is amortized into monthly payments, the total interest paid by

the end of the loan term will be $704.

Calculate the simple interest Lori would pay if the loan was not amortized and the entire loan was paid at the end of 3 years.

$15

The **simple interest **Lori would pay if the loan was not **amortized **and the entire loan was paid at the end of 3 years is $ 1,350.

It is given in the question that:-

**Principal** = $15,000

**Time period ** = 3 years

**Interest rate** = 3 %

Total interest paid by Lori, if the loan was amortized = $ 704.

We have to find the simple interest Lori would pay if the loan was not amortized and the entire loan was paid at the end of 3 years.

We know that,

Simple interest = (Principal*Rate*Time)/100

Hence,

Simple interest = (15000*3*3)/100 = $ 1350.

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what are the steps of simplifying the fraction 1244/2000 to its lowest term?

Answer: 311/500

Explanation: Find the GCD (or HCF) of numerator and denominator

GCD of 1244 and 2000 is 4

Divide both the numerator and denominator by the GCD:

1244 ÷ 4

2000 ÷ 4

Reduced fraction:

311/500

Therefore, 1244/2000 simplified to lowest terms is 311/500.

Explanation: Find the GCD (or HCF) of numerator and denominator

GCD of 1244 and 2000 is 4

Divide both the numerator and denominator by the GCD:

1244 ÷ 4

2000 ÷ 4

Reduced fraction:

311/500

Therefore, 1244/2000 simplified to lowest terms is 311/500.

I NEED HELP!!!

50 POINTS!!!

slope is 3;

rise/run = y/x

6/2 = 3/1

44+400 divided by (4+62)-24

**Answer:**

10.57

**Step-by-step explanation:**

44+400=444

(4+62)-24=

66-24=42

444/42=**10.57**

URGENTTTY PLS PLS HELP !! GRAPH TOO PLS !!

Number 7 is the grey line. Number 8 is the red line

Consider the line y = - - X+4.4.***4.Find the equation of the line that is perpendicular to this line and passes through the point (-9, 6).Find the equation of the line that is parallel to this line and passes through the point (-9, 6).Note that the ALEKS graphing calculator may be helpful in checking your answer.Equation of perpendicular line: 0-Equation of parallel line:X0P

**ANSWER:**

**STEP-BY-STEP EXPLANATION:**

We have that the equation of a line in its slope and y-intercept form is the following:

[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]Now, when two equations are perpendicular, the slope of both are opposite, that is, the product between them is equal to -1, like this:

[tex]\begin{gathered} m_1\cdot m_2=-1 \\ -\frac{3}{4}\cdot m_2=-1 \\ m_2=\frac{4}{3} \end{gathered}[/tex]We replace the values of the point (-9, 6) and the slope to calculate the value of the y -intercept:

[tex]\begin{gathered} 6=-9\cdot\frac{4}{3}+b \\ b=12+6 \\ b=18 \end{gathered}[/tex]Therefore, the perpendicular equation that also passes through the point (-9,6) is:

[tex]y=\frac{4}{3}x+18[/tex]Now, when two lines are parallel, the slope is the same, therefore we calculate directly that it passes through the point (-9, 6)

[tex]\begin{gathered} 6=-9\cdot-\frac{3}{4}+b_{} \\ b=6+9\cdot-\frac{3}{4} \\ b=-\frac{3}{4} \end{gathered}[/tex]therefore, the equation of the line that is parallel to this line and passes through the point (-9, 6) is:

[tex]y=-\frac{3}{4}x-\frac{3}{4}[/tex]The quadratic equation [tex]( k - 1 )x^{2} + 2x + ( 2k - 3 ) = 0[/tex] , where k is R, has real distinct roots.

Find the range of possible values for k.

The possible **values** of k such that the **quadratic equation** has real distinct **roots** are 1 / 2 and 2.

What are the possible values of k associated to quadratic equation?

In this problem we find the case of a **quadratic equation**, of which the **values** of a variable k must be found such that the **polynomial** have real distinct **roots**. This can be done by using the **discriminant** of the **quadratic formula**, which is defined below:

For a · x² + b · x + c = 0, the discriminant is:

b² - 4 · a · c > 0

Then, if we know that a = k - 1, b = 2 and c = 2 · k - 3, then the possible values of k are:

2² - 4 · (k - 1) · (2 · k - 3) > 0

4 - (4 · k - 4) · (2 · k - 3) > 0

4 - (8 · k² - 8 · k - 12 · k + 12) > 0

8 · k² - 20 · k + 8 > 0

Whose form form is shown below:

8 · (k² - (20 / 8) · k + 1) = 0

8 · (k² - (5 / 2) · k + 1) = 0

8 · (k - 2) · (k - 1 / 2) = 0

The possible **values** of k are 1 / 2 and 2.

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A pile of sand has a weight of 65 kg.

Some of the sand is put into a small sack.

The rest of the sand is put into a large sack.

The sand in the large sack weighs 15 kg more than the sand in the small sack.

What is the weight of the sand in the small sack?

**Answer:**

25kg

**Step-by-step explanation:**

65=x+x+15

65-15=2x

50=2x

25=x

Helpppppppppppppppppppppppp

the actual amount is 78000 dollar

**Step-by-step explanation:**

one pack cigarettes cost 25 dollar

3 pack cigarettes costs 75 dollar

20 years × 52 =1040

1040 weeks

1040 × 75 dollar

78000 dollar

Ethan and Adrian are reading the same book. At the beginning of the month, Ethan was on page 18 and Adrian was on page 45. Ethan will read 12 pages per day and Adrian will read 9 pages per day. Let E represent the page of the book that Ethan is on at the end of t days into the month, and let A represent the page of the book that Adrian is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Ethan or Adrian is farther along in the book after 4 days.

The **equations** are e = 18+12t and a = 45+9t

**Adrian** will be father along in the book after 4 days. She will be 15 pages ahead of **Ethan**

Ethan's page number at the beginning of the month = 18

Adrian's **page** number at the beginning of the month = 45

Pages read by Ethan each day = 12 pages

Pages read by Adrian each day = 9 pages

Let e represent the page of the book that Ethan is on at the end of t **days** into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.

Formulating the **equation** we get the following:

e = 18 + 12t

a = 45 + 9t

Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:

e = 18+12(4)

e = 66

a = 45 + 9(4)

a = 81

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What is the value of −5 + (−14) + 53?

**Answer:**

34

**Step-by-step explanation:**

The value would be 34

scores on an iq test are normally distributed. the test is designed so that the mean is 100 and standard deviation is 15. (a) what percentage of the population has an iq above 120?

From the **normal distribution** it is calculated that 9.18% of people has an iq over 120.

Normal distributions are crucial to **statistics **because they are widely used in the natural and social sciences to represent real-valued regressors with unknown distributions.

We have to find P( X > 120 )

Thus find** z score** for x =120

[tex]z=\frac{x-\mu}{\sigma}=\frac{120-100}{15}=\frac{20}{15}=1.33[/tex]

Thus we get:

P(X>120) = P(Z>1.33)

P(X>120) = 1 - P(Z<1.33)

P( Z < 2.67) = 0.9082

Thus

P(X>140) = 1 - P(Z<2.67)

P(X>140) = 1 - 0.9082

P(X>140) = 0.0918

Percentage = 9.18%

Therefore 9.18% of people has an iq over 120.

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can you help with these two questions please

The first question is relatively harder

So let’s start with that

Area of circle is 3.14(r^2)

We are given the diameter as 20m

So radius is 10m

Thus area = 3.14(100)= 314 sq metres

Now each box covers 58 sq metre

So no of boxes = 314/58= 5.41

Rounding to 1 significant figure

It’s 5 boxes

Clearly we are underestimating it as it’s around 5 boxes and a half

For the second question just equate their area

(11)(10)/2 = 22b

=> b= 2.5cm

So let’s start with that

Area of circle is 3.14(r^2)

We are given the diameter as 20m

So radius is 10m

Thus area = 3.14(100)= 314 sq metres

Now each box covers 58 sq metre

So no of boxes = 314/58= 5.41

Rounding to 1 significant figure

It’s 5 boxes

Clearly we are underestimating it as it’s around 5 boxes and a half

For the second question just equate their area

(11)(10)/2 = 22b

=> b= 2.5cm

Help Please!!

Unit 4 lesson 11 geometry Parallel and Perpendicular Lines Unit Test

I have been doing well in this test till this question... any help is appreciated!!

The values of **x = 14 **and **y = 12**

In the diagram given, there are two **parallel lines** and three angles formed by cutting the parallel lines.

So here, angles** (2x+7)°** and **(3x-7)° **are **corresponding angles.**

That is they occupy relatively same position, that is both are above each **parallel line.**

So they are equal angles.

i.e., 2x+7 = 3x-7

⇒ 3x-2x = 7 +7

⇒ **x = 14**

Now the angles **2x+7°** and** 12y+1°** are **supplementary angles.**

**Supplementary angles** are formed on a straight line between a line cutting the straight line.

That is their sum = 180°

i.e., 2x+7° + 12y+1° = 180

⇒ 2 x 14 + 7 + 12y +1 = 180

⇒ 28 + 8 +12y = 180

⇒ 36 +12y = 180

⇒ 12y = 180 -36

⇒ 12y = 144

⇒ **y = 12**

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1) Apples cost $16 for an 8 pound bag at the local price

club, but the club has a membership fee of $50.

Write and solve an equation to determine how many

pounds (p) of apples you can buy for $58.

Answer:

4 pounds with a membership

29 pounds without

i just added both because i didnt know if you meant 58 extra dollars after bbuying membership or not

Step-by-step explanation:

58 -50(membership fee)=8

16 divide by 8=2

16$=8 pounds

8$=4 pounds

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

without membership you could buy 29 pounds of apples

58 divide by 16=3.625

3.625 x 8=29

If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}

When Q = {all perfect **squares** less than 30} and p={ all odd **numbers** from 1 to 10) Q ∩ P = { 1, 9}

**Set theory** simply means the branch of mathematical logic that deals with sets, that can be described as collections of **objects**.

It should be noted that **perfect squares** are the numbers that can be divided to give same number.

Q = {all **perfect squares** less than 30}. This will be 1, 4, 9, 16, 25

P ={ all odd **numbers** from 1 to 10}. This will be **1**, 3, 5, 7, and **9**.

In this case, the common **numbers** to set of P and Q are 1 and 9.

Therefore, the **numbers** are 1 and 9 since they're common to both sides.

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If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}. Find Q ∩ P.

Help me with this i need to submit this assignment tyy

i think its ez but yk.. im lazy

**Answer:**

3x3x3x3=81

**.......................**

Help me please!! due at 8pm tonight 10/12/22

**Answer:**

y=3x+3

**Step-by-step explanation:**

Use rise/run

**Answer:**

y=-9x+5

**Step-by-step explanation:**

this graph shows the height of a tree over a 5 year growing peroid calculate the rate of change of height per year

Need explanation on how to solve ASAP

**Answer: It jupes by 2 each year the rate is 2 to 1 year **

**Step-by-step explanation:**

In zero years it alretey 1m so we can go to 1 where its 3 it juped by two more

Find the value of c that makes t^2 - 22t+ c a perfect square trinomial.

Write the expression as the square of a binomial.

The expression is

The** expression **is a **perfect square trinomial** if and only if c = 121.

A **perfect square trinomial** is written as:

(a + b)^2 = a^2 + b^2 + 2ab

In this case, we have:

t^2 - 22t + c

We can rewrite this as:

t^2 - 2*11*t + c

Then we have:

a = t

b = -11

And we will have that:

c = b^2 = (-11)^2 = 121

Then we have:

t^2 - 2*11*t + 121

Which is a** perfect square trinomial:**

(t - 11)^2 = t^2 - 22t + 121

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You need a 30% alcohol solution. On hand, you have a 75 mL of a 10% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?

60 ml of the 55% **solution **is required to get the desired **solution**.

A unique kind of **homogenous **mixture made up of two or more substances is called a **solution**.

Let x ml of 55% **solution **is taken.

therefore **alcohol **= 0.55x ml

water = 0.45x ml

Now it is added to 10% 75 ml **solution**.

Alcohol = 10% of 75 = 7.5ml

**Water **= 67.5 ml

New **mixture **= 75 + x

Alcohol = 30% of (75+x) = 22.5 + 0.3x

Therefore 22.5 + 0.3x = 7.5 + 0.55x

or, x = 60 ml

Therefore 60 ml of the 55% **solution **is required.

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Find x of the triangle

**Answer: The answer is 20°**

**Step-by-step explanation:**

I think it’s 20° but I’m only in the 6th grade and I got my 180 ruler for this into the screen

Write an equation in point-slope form of the line that passes through the given point and with the given slope m. A. (1, -8) m= -9

The point-slope form of a line is:

y = mx + b

where m is the slope and b is the y-intercept

Replacing with point (1, -8) and m= -9, we get:

-8 = (-9)(1) + b

-8 = -9 + b

-8 + 9 = b

1 = b

Then, the equation is:

**y = -9x + 1**

10. Dan paid 20% down on 8 new car that cost

$16,584.00. He will pay the balance in

24 equal monthly installments.

He will pay S Drop-cown each month.

A. 1,105.60

B. 667.18

C. 552.80

D. 132.20

**Answer:**

**552.8**

**Step-by-step explanation:**

**16584/8=2073**

**2073*0.8=1658.4**

**1658.4*8=13267.2**

**13267.2/24=552.8**

In Montyville, the value of homes has experienced an annual change of -2 percent. If the rate continues, what will be

the change over 10 years?

**Answer:**

I believe the answer would be -20 percent

Which ordered pair would form a proportional relationship with the point graphed below?

-60-40-20 20 40 60 80 ×

x

*

O (-10, 30)

O (30, -15)

O (-30, 10)

10.0

40

30

20

10

20

30-

40-

(60,-20)

**Answer: (-30, 10)**

**Step-by-step explanation:**

A proportional relationship is of the form y=kx for some constant k.

From the point (60, -20), we know that k = -1/3.

So, we are looking for a point where the y coordinate is -1/3 of the x coordinate. This is satisfied by option 3.

An angle measures 58° more than the measure of its supplementary angle. What is the measure of each angle?

**Answer: 61° and 119°**

**Step-by-step explanation: **

**So for the smaller angle you have to do:**

**1. 180-58=122**

**2. 122/2=61**

**Then you just add 61+58=119 for the larger angle**

MATH PLEASE DO THIS FOR BRAINLYIST

**Answer: The percent of change in the perimeter** **is 100 percent and**

**the percent of change in the area is 300 percent .**

**Step-by-step explanation:**

Rectangle is the closed shaped polygon with 4 sides. Opposite sides of the rectangle are equal. when the length and the width of the sandbox are doubled the percent of change in the perimeter is **100 percent **and the percent of change in the area is **300 percent**.

A store sells 5 T-shirts for $48.60. What is the unit cost per T-shirt? A. $9.72 B. $8.10 C. $43.60 D. $0.10

**Answer:$9.72**

**Step-by-step explanation: 48.60 DIVIDED BY 5 EQUALS 9.72**

**GIVE ME BRAINLEST PLSS**

<

Find the time-and-a-half pay rate by multiplying the hourly wage, $22 by

by 1-1/2

When the hourly wage is $22, the time-and-a-half pay rate is $

(Simplify your answer.)

consequently, the **time and a half rate** will be 33 **dollars per hour** according to the query.

A higher rate of pay known as **"time and a half"** is normally only applied to hours that are over 40 in a workweek or that are worked extra.

Companies have different **overtime **pay practices, with time and a half as a typical **rate.**

Simply said, it means that for each hour performed within the time and a half window, the employee will receive payment in** addition** to their regular **hourly rate** of one half of that amount.

Time and a Half Rate = Hourly Rate * 1.5

According to the given question:

Time and a half rate =22$*1-1/2

=22$*1.5

=33$ per hour

Therefore, According to the question given the **Time and a pay half rate** will

be 33$ per hour.

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Can you please show me how to check the answer to see if it is right.
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