The slope intercept form of a line is:

[tex]y=mx+c[/tex]In this case, all we need to do is solve for y:

[tex]\begin{gathered} 4x-3y=24 \\ \end{gathered}[/tex]Let the y's be alone on one side of the equation:

[tex]4x-24=3y[/tex]Then divide both sides by 3:

[tex]\begin{gathered} y=\frac{4x-24}{3} \\ y=\frac{4}{3}x-8 \end{gathered}[/tex]Then the slope-intercept form of the line is y = 4/3x - 8

The cost of a Turkish cloth varies jointly as the length and width of the cloth. If the cost is TL3848 for an 8 ft by 13 ft cloth, then what is the cost of a 17 ft by 23 ft cloth?

The** cost **of the the 17 feet by 23 feet **Turkish cloth** given the constant of variation is TL14,467.

A variable **varies jointly **if the value of one variable depends on the value of two or more variables. In this question, if the **length **and **width **of the cloth increases, the cost of the cloth increases. Also, if the **length **and **width **of the cloth decreases, the cost of the cloth decreases.

The equation that represents **joint variation **is:

y = kab

Where:

y = dependent variable = cost of theTL3848 = k(13 x 8)

k = TL3848 / (13 x 8)

k = $37

The cost of 17 feet by 23 feet **cloth **:

37 x 17 x 23 = TL14,467

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Olivia wants to buy a pizza. A plain cheese pizza costs $8.50 and each additional topping costs $0.75. Let t represent the number of toppings. How many toppings can Olivia get if she only has $8.00 to spend. Set up your inequality and solve. Then write your final answer in a complete sentence.

**Olivia would be able to get 11 toppings.**

**Steps:**

**8.00 / .75 = 10.6**

**Round~**

**11**

**You're welcome!!!**

Please show your but an short explanation, i inserted a picture of the question

With the given information we can make the following equation:

[tex]x+2x+3x=30[/tex][tex]6x=30[/tex][tex]x\text{ = 5}[/tex]Then David will have:

[tex]2\times5=10\text{ years}[/tex]**Answer:** 10 years.

Rafael bought a bag of candy that contains 50 pieces. 30 of those pieces are chocolate and 5 are caramel. Write a ratio that compares the number of chocolate pieces to the number of pieces that are not either chocolate or caramel.

**Answer:**

so 50:30

=50-30=20

chocolate and 5are caramel

20:5

5can go into 20 =4

20:5

=4:1

**Step-by-step explanation:**

bag of candy is 50pieces 30piecesare chocolate and 5arecaramel

step 2 . you will subtract 50from30=20

step 3. 5can go into 20=4times

20:5 is equal to 4:1

Find the savings plan balance after 2 years with an APR of 7% and monthly payments of $.300

the savings plan balance after 2 years with an **APR** of 7% and monthly payments of $.300 will be A = $209314.286 or A = $209314.3 .

The formula to calculate amount,

[tex]A= \frac{P[(1+\frac{APR}{100n})^{n*N}-1 ]}{(\frac{APR}{100n}) }[/tex]

where, we are given,

N = 2 years

**APR** = 7%

P = 300

n = 12

subsituting these values in the equation above we get,

[tex]A=\frac{300[1+\frac{7}{100*1} ]^{12*2} -1}{\frac{7}{100*12} }[/tex]

[tex]A=\frac{300*100*12}{7}} * [\frac{107}{100}^{24} -1][/tex]

[tex]A=\frac{ 360000}{7}[5.07-1][/tex]

[tex]A=\frac{360000}{7}[4.07][/tex]

A=51428.57 * 4.07

A = $209314.286

or

A = $209314.3

What is **APR**?

An **annual percentage rate** is a calculation that includes all fees and costs associated with borrowing in addition to the interest rate.

**APR** is a number provided for all mortgages, loans, and credit cards, and there is a precise formula the bank must use in order to calculate the number in accordance with the Financial Service Authority's guidelines. It is simple to compare the **APR** between various accounts. All of the additional fees and expenditures you must pay on top of the basic interest rate are factored into the **APR** calculation.

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Help with this special right triangle

**Answer:**

6 ft

**Step-by-step explanation:**

You want the length of the **short side** of a **30°-60°-90° triangle**, given the **longest side is 12 ft**.

A 30°-60°-90° triangle has side lengths in the ratios ...

1 : √3 : 2

Here, the longest side is given as 12 ft, so we can multiply this set of ratios by 6 ft to find the lengths of all of the sides:

1 : √3 : 2 = (6 ft) : (6√3 ft) : (12 ft)

The shortest side has length ...

** k = 6 ft**

__

*Additional comment*

You can also use trig functions to find the length k:

k/(12 ft) = cos(60°) = 1/2, or

k/(12 ft) = sin(30°) = 1/2

k = (1/2)(12 ft) = 6 ft

The record high temperature on January 15 is 41.5 Fahrenheit the record low temperature on that day is -16.8 Fahrenheit what is the difference in the record temperatures in degrees Fahrenheit

The **difference** in the record temperatures is 58.3° Fahrenheit.

To **subtract** in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol - , or, denotes subtraction. For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

Given Data

The record high temperature on January 15 is 41.5 Fahrenheit the record low temperature on that day is -16.8.

Difference = **High** temperature - **Low** temperature

Difference = 41.5 -(-16.8)

Difference = 41.5 + 16.8

**Difference** = 58.3

The **difference** in the record temperatures is 58.3° Fahrenheit.

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1

-2-(-7) = ?

NEXT

BOOKMARK

**Answer:**

5

**Step-by-step explanation:**

negetive two minus negative seven equal to five

License plates in a particular state are to consist of 2 digits followed by 4 uppercase letters. a) How many different license plates can there be in this state if repetition of letters and numbers is permitted? b) How many different license plates can there be in this state if repetition of letters and numbers is not permitted? c) How many different license plates can there be in this state if the must be , and repetition of letters and numbers is not permitted? d) How many different license plates can there be in this state if the first digit cannot be , and repetition of letters and numbers is not permitted?

a)Total **different** number plates will be 45697600

b) Total **different** number plates will be 32292000

**What is permutation and combination?**

In a **combination**, the elements of the subset can be listed in any order. In a **permutation**, the elements of the subset are listed in a specific order.

Arranging people, digits, numbers, alphabets, letters, and colors are examples of **permutations**. Selection of menu, food, clothes, subjects, the team are examples of **combinations**

We are given that license plate allows 2 digits and 4 upper case letters

a) repetition is allowed

hence for 2 numbers we have 10*10=100 choices

Also letter are allowed 26*26*26*26=456976 choices

And Hence total choices are 456976*100=45697600 ways

b) Repetition is not allowed

hence for 2 numbers we have 10*9=90 choices

Also letter are not allowed 26*25*24*23= 358800 choices

And Hence total choices are 456976*100=32292000 ways

Hence

a)Total different number plates will be 45697600

b) Total different number plates will be 32292000

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Find the y-intercept of the line graphed by the equation 1/2x + y = 7. (0, 14) (14, 0) (7, 0) (0, 7)

The **y-intercept** of the **line** graphed by the **equation** [tex]\frac{1}{2} x+y=7[/tex] is **(0,7)**

Option **(D) **is correct.

The **x-intercept** is the point where the line crosses the** x-axis**, and the **y-intercept **is the point where the line crosses the **y-axis**.

The given** equation** is [tex]\frac{1}{2} x+y=7[/tex]

Converting the equation in **Slope-intercept** form, we get

[tex]y=-\frac{1}{2} x+7[/tex] ...(1)

Now, to find the y-intercept, substitute** x = 0** in the equation and solve for the **value** of **y**

Putting x = 0 in equation** (1)**, we get

[tex]y=-\frac{1}{2} (0)+7[/tex]

[tex]y=7[/tex]

Therefore, the y-intercept of the line will be (0,y) i.e., (0,7)

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Order √70,-8.2.25,-8

47

from least to greatest.

Arrange them in **Ascending order :**

** -8(4/7) < -8.2 < 25/3 < √70**

**What is Ascending order?**

When numbers are arranged in **ascending order**, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in **ascending order**: Determine how many digits each number has.

Given numbers,

√70 ,-8.2, 25/3, -8(4/7)

We have to Arrange these in **ascending order**

First lets get these terms to its simplest form

Value of √70 = 8.36

value of 25/3 = 8.33

Value of -8(4/7) = -8.57

Now we have the simplest value of all the following numbers

That is:

8.36, -8.22, 8.33, -8.57

The smallest of all is -8.57

Then -8.57 will be at first

-8.57, 8.36, -8.22, 8.33

now the second will be -8.22

-8.57, -8.22, 8.36, 8.33

Now the third would be 8.33

So the last would be 8.36 that is the greatest

-8.57, -8.22, 8.33, 8.36

Now, for the original value it would be:

-8(4/7) < -8.2 < 25/3 < √70

Hence, The **ascending order** of the number is** -8(4/7) < -8.2 < 25/3 < √70**

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Bell WorkDIRECTIONSSolve the equation for the variable x.-2(x-3) = 26*Hint: Make sure to use distribution arrows and identifylike terms.

You have the following equation:

**-2(x - 3) = 26**

in order to solve the previous equation, proceed as follow:

**-2(x - 3) = 26 **use distribution property

**-2(x) - 2(-3) = 26**

**-2x + 6 = 26 ** subtract 6 both sides

**-2x = 26 - 6 **simlify like terms right side

**-2x = 20 **divide by -2 both sides

**x = 20/(-2)**

**x = -10**

**Hence, the solution to the given equation is x = -10**

Find the missing endpoint if S is the midpoint RT. R(-9, 4) and S(2, -1); Find T.

Find the missing endpoint if S is the midpoint RT. R(-9, 4) and S(2, -1); Find T.

we know that

The formula to calculate the midpoint between two points is equal to

[tex]s(\frac{x1+x2}{2},\frac{y1+y2}{2}_{})[/tex]we have

S(2,-1)

(x1,y1)=R(-9,4)

(x2,y2)=T

substitute the given values in the formula

[tex]s(2,-1)=(\frac{-9+x2}{2},\frac{4+y2}{2}_{})[/tex]Find the x2 coordinate

2=(-9+x2)/2

-9+x2=4

x2=4+9=13

Find the y2 coordinate

-1=(4+y2)/2

4+y2=-2

y2=-2-4

y2=-6

therefore

the coordinates of point T(13,-6)solve using substitution or elimination

6x-12y=0

x-6y=4

Hope this is right for the problem

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 5% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of six adult friends, what is the probability of the following? (Round your answers to three decimal places.)

Using the **binomial distribution**, the **probability **of no one having done a one time fling is of 0.735 = 73.5%.

The mass density formula for the **probability **of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The **parameters **of the formula are given as follows:

In the context of this problem, the **values **of the parameters are as follows:

The **probability **that **no one** has done a one time fling is P(X = 0), hence the probability is calculated as follows:

P(X = 0) = (0.95)^6 = 0.735 = 73.5%.

Missing informationThe problem asks for the probability that no one has done a one time fling.

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I would rlly appreciate if someone helped me out on this please!

**Answer:**

14.7

**Step-by-step explanation:**

Let's say the width is x

So volume would be 24 × 2x × x = 10368

24 × 2x² = 10368

2x² = 10368 / 24 = 432

x² = 216 , width can't be negative so

x = 14.6969... ~~ 14.7

What is the value of -7/8÷-1 2/5 pls asap

The answer is 5/8 as a fraction or .625 as a decimal

**Answer:**

See below

**Step-by-step explanation:**

-7/8 / (- 7/5) = - 7/8 *- 5/7 = 5/8

need help!! algebra 1

**Answer:**

f(1)= -3

**Step-by-step explanation:**

what f(1) means is when x is 1 what is y. I dont see the graph labeled so im just assuming that the graph is going by ones. So what i did was i found where x is one and then i checked at what point did the line match with the y axis which was 3 points below 0 on y axis ( disclaimer if the graph isnt going by ones then its going to be a different answer, but you can use the same process to find it.

If the sum of 5 consecutive analysis numbers is 170, what is the analysis number?

**Answer:**

The five consecutive integers whose sum is 170 are 32, 33, 34, 35, and 36

**Step-by-step explanation:**

hope it help

have a nice day

Given vectors a= (1, - 4) and b = (2, 5), find –2a+5b.Write your answer in component form.- 2a + 5b =?

We are given the following two vectors

[tex]\begin{gathered} a=<1,-4> \\ b=<2,5> \end{gathered}[/tex]We are asked to find the following

[tex]-2a+5b[/tex]First, multiply the vector a with the scaler -2 to get **-2a**

Now, multiply the vector b with the scaler 5 to get **5b**

Finally, add -2a and 5b to get **-2a+5b**

Therefore, the resultant vector in component form is

[tex]-2a+5b=<8,33>[/tex]a number increased by 6

**Answer:**

x + 6.

**Step-by-step explanation:**

a number which is x and increased by 6 is adding 6

Find the value of the variable.

**Answer:**

Since AB = BC,

3m + 5 = 4m - 10

m = 15

Car 1 leaves point A at 5:30 p.m., driving due south atan average speed of 35 mph. Car 2 leaves point A at6:30 p.m., driving due north at an average speed of 45mph. How far apart will the drivers be at 9:30 p.m.?

**Answer:**

**Explanation: **

• Car 1 leaves point A at 5:30 p.m., driving due south at an average speed of 35 mph.

,• Car 2 leaves point A at 6:30 p.m., driving due north at an average speed of 45 mph.

At 9:30 pm, the time taken by the cars is:

[tex]\begin{gathered} Car\;1:9:30-5:30=4\text{ hours} \\ Car\;2:9:30-6:30=3\text{ hours} \end{gathered}[/tex]The distance covered by each car is:

[tex]\begin{gathered} Distance=Speed\times Time \\ \text{Car 1's distance}=35\times4=140\text{ miles} \\ \text{Car 2's distance}=45\times3=135\text{ miles} \end{gathered}[/tex]Since car 1 drives due South and Car 2 due North of point A:

Therefore, the distance between the drivers at 9:30 p.m. will be:

[tex]Distance=140+135=275\text{ miles}[/tex]**The two drivers are 275 miles apart at 9:30 pm.**

C>0, |u|=c is equivalent to u=

** |u|=c** is equivalent to **u = c** or** u = -c**.

Given that **c > 0.**

i.e., c is a positive number.

Then |u| = c. That is, **absolute value **of u = c, a positive number.

An **absolute value function** is defined by,

|u| = { u ; if u ≥ 0

{ -u ; if u < 0

The **absolute value **of any number, Positive or negative, is always a positive number.

So here |u| = c, with c > 0.

Comparing with the definition of **absolute value function**, c is either u or -u.

More clearly, c = u, when u ≥ 0 or c = -u , when u < 0.

Hence the value of c depends on u.

Thus, **|u|=c** is **equivalent** to u = c or u = -c.

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Tareq pays $22.10 for 2.6 pound of salmon. What is the price per pound of salmon?

**Answer:**

22.1$ = 2.6 pound

x = 1 pound

so when we criss cross

22.1$ X 1 pound = 2.6x pound

22.1 = 2.6x

22.1/2.6 2.6x/2.6

X=22.1/2.6

x=8.5

so it costs 8.5$ per pound

Write a system of equations that represent the graph .

To write an equation for the lines of the graph, we have to find the slope and the y-intercept of each line.

The y-intercept can be find as the value of y when the line intersects the y-axis.

For company L, that intersects at (0,10), the y-intersect is y(0)=10.

For company K, that intersects at (0,5). the y-intersect is y(0)=5.

The slope can be find using two points of the line.

For Company L we will use points (0,10) and (20,15). Then, we calculate the slope as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{15-10}{20-0}=\frac{5}{20}=0.25[/tex]For Company K, the points will be (0,5) and (20,15), and the slope will be calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{15-5}{20-0}=\frac{10}{20}=0.5[/tex]With the slope and y-intercept we can write the equation of each line in slope-intercept form.

For Company L, with slope m=0.25 and y-intercept b=10 we will have:

[tex]\begin{gathered} y=mx+b \\ y=0.25x+10 \end{gathered}[/tex]For Company K, with slope m=0.5 and y-intercept b=5, we will have:

[tex]y=0.5x+5[/tex]**Answer:**

**The system of equations will be:**

**Company L: y=0.25x+10**

**Company K: y=0.5x+5**

Find the slope of the line with the equation 8x + 2y=12 m = -8 Om= 8 m = -4 m = 2

Simplify the equation 8x + 2y = 12 to obtain the equation in y = mx + b.

[tex]\begin{gathered} 8x+2y=12 \\ 2y=-8x+12 \\ y=-\frac{8}{2}x+\frac{12}{2} \\ y=-4x+6 \end{gathered}[/tex]In equation y = mx + b, slope is m and y-intercept is b.

So on compare the equation y = -4x + 6 with standard equation the slope is m - -4.

Answer: m = -4.

Suppose that g(x) = f(x) + 5. Which statement best compares the graph ofg(x) with the graph of f(x)?

We are told that

[tex]g(x)=f(x)+5[/tex]If we were given the graph of f(x), note that in this equation we add 5 to the value of f(x) to find the value of g(x). So, in terms of the graph, as we are taking the final value of f and adding 5, this means that we are moving the graph of f 5 units up. That is **the graph of g(x) is the graph of f(x) shifted 5 units up **

A jet’s speed in still air is 240 mph. One day it flew 700 miles with a tailwind (the wind pushing it along) and then returned the same distance against the wind. The total flying time was 6 hours. Find the speed of the wind.

**Speed ** of the wind for jet speed in still air 240mph and jet covers 700 miles with tailwind and same **distance** against the wind in total time of 6 hours is equal to **40mph**.

As given in the question,

Given data:

Jet **speed** in still air = 240mph

Let x be the speed of the wind.

Speed with tail wind = 240 +x

**Distance** covered with tail wind = 700miles

Time taken by jet with tail wind

= Distance/ speed

= 700 / (240 +x) __(1)

Speed against the wind = 240 - x

Distance covered against the wind = 700miles

Time taken by jet against the wind

= Distance/ speed

= 700 / (240 - x) __(2)

Total time taken is 6 hours

[700 / (240 +x)] + [700 / (240 - x)] = 6

⇒ 700( 240 -x + 240 + x) = 6 (240 +x)(240 - x)

⇒ 700 ( 480) = 6 ( 240² -x²)

⇒ 700 (80) = 57600 -x²

⇒ x² = 57600 - 56000

⇒ x² = 1600

⇒ x = √1600

⇒ x= 40 mph

Therefore, **speed ** of the wind for jet speed in still air 240mph and jet covers 700 miles with tailwind and same distance against the wind in total time of 6 hours is equal to 40mph.

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On a coordinate plane, 2 triangles are shown. The first triangle has points F prime (1, 5), E prime (negative 1, 1), and D prime (negative 4, 2). The second triangle has points E (1, negative 1), D (2, negative 4), and F (5, 1). Complete the mapping of the vertices of ΔDEF. D(2, –4) → D' E(1, –1) → E' F(5, 1) → F' What is the rule that describes a reflection across the line y = x? rx = y(x, y) →

Answer:y

Step-by-step explanation:

**Answer:**

**Step-by-step explanation:**

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