1. Eric and four of his friends are taking a trip across the New York State

Thruway. They decide to split the cost of tolls equally.

a. If the total cost of tolls is $8, how much will each person have to

pay?

b. Just before leaving on the trip, two of Eric's friends have a family

emergency and cannot go. What is each person's share of the $8

tolls now?

Answer:

x-intercept=4 and y-intercept = 12

Step-by-step explanation:

To find the x-intercept, make the y=0:

0 = -3x+12

3x = 12

x=12/3

x=4

To find the y-intercept, make the x=0:

y = -3(0) +12

y = 0 +12

y = 12

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

Answer:

y=12,0

x=4,0

Step-by-step explanation:

for those who were just as confused as i was <3

Answer:

24.36

Step-by-step explanation:

26.7 / 1.07 = 24.36

Answer:

(11/4)x units

Step-by-step explanation:

for a rectangle,

perimeter = 2(length) + 2(width)

given:

length = x

width = (3/8)x

hence,

perimeter = 2(length) + 2(width)

perimeter = 2x + 2(3/8)x

perimeter = 2x + (3/4)x

perimeter = [2 + (3/4)]x

perimeter = (11/4)x

Answer:

5/8

Step-by-step explanation:

if I understand correctly the problem is

(2*X)-(3/4)=1/2

to solve for x we need to isolate it, the first step in doing so is getting rid of the 3/4

2*X-3/4+3/4=1/2+3/4

simplify

2*X=1 1/4

the next step is getting rid of the 2

(2*X)/2=(1 1/4)/2

simplify

X=5/8

Answer:

  -0.46 or -23/50

Step-by-step explanation:

We note that 0.14 is easily divisible by 7, so we can do this using the distributive property:

  (-3 2/7)(0.14) = (-1)(3 + 2/7)(0.14)

  = (-1)(3×0.14 +2/7×0.14)

  = (-1)(0.42 +0.04)

  = -0.46 . . . . . decimal form

  = -46/100 . . . . place value

  = -23/50 . . . . remove common factor of 2; fraction form

The product is -0.46 or -23/50.

After 5.11 years, amount due reach $65,000 or more

Solution:

Given that a loan of $46,000 is made.

Rate of interest charged is 7% compounded annually

Need to determine number of years in which the amount due reach $65,000 or more.

In our case

Amount due A = $65000

Loan Amount that is principal P = $46000

Rate of interest r = 7%

Formula for Amount compounded anually is as follows:

[tex]\mathrm{A}=P\left(1+\frac{r}{100}\right)^{n}[/tex]

Substituting the values in above formula we get

[tex]\begin{array}{l}{65000=46000\left(1+\frac{7}{100}\right)^{n}} \\\\ {\frac{65000}{46000}=\left(\frac{107}{100}\right)^{n}} \\\\ {\Rightarrow 1.4130=(1.07)^{n}}\end{array}[/tex]

Applying log on both sides, we

[tex]\begin{array}{l}{\ln 1.4130=n \ln 1.07} \\\\ {=>\frac{\ln 1.4130}{\ln 1.07}=\mathrm{n}} \\\\ {=>\mathrm{n}=\frac{0.34571}{0.067658}=5.1096=5.11}\end{array}[/tex]

Hence after 5.11 years , amount due reach $65,000 or more

Problem 1

A = 5! = 5*4*3*2*1 = 120 ways to arrange the math books

B = 4! = 4*3*2*1 = 24 ways to arrange the French books

C = 2! = 2*1 = 2 ways to arrange the biology books

D = 3! = 3*2*1 = 6 ways to arrange the three blocks of books, each block a different subject

E = A*B*C*D = 120*24*2*6 = 34560 different ways to arrange the books such that the subjects stick together

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

========================================

Problem 2

Group all the math books to form one "book". This is the same as taking out the 5 math books and replacing it with one single math book. This single math book acts as a placeholder for all of the five books together as one block.

We have

1 math "book"

4 French books

2 biology books

So there are 1+4+2 = 7 "books" total and

7! = 7*6*5*4*3*2*1 = 5040 different ways to arrange those "books"

Within the math block of books, there are 5! = 120 ways to arrange things.

So overall we have 120*5040 = 604800

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

Answer:

31

Step-by-step explanation:

Avery has 31 left

5 x 8 = 40

40 - 9 = 31

therefore avery has 31 pencils left

Answer:

c. two places to the left

Step-by-step explanation:

Answer:

two places to the left

Step-by-step explanation:

Answer:

6/8

Step-by-step explanation:

3/4 into eighths would be 6/8. She said she had 5/8 cups of flour.

Answer:

See explanation

Step-by-step explanation:

Given

[tex](8x+12y)^2+(6x+9y)^2=(10x+15y)^2[/tex]

Note

[tex](8x+12y)^2=(4(2x+3y))^2=16(2x+3y)^2\\ \\(6x+9y)^2=(3(2x+3y))^2=9(2x+3y)^2\\ \\(10x+15y)^2=(5(2x+3y))^2=25(2x+3y)^2[/tex]

Since

[tex]16(2x+3y)^2+9(2x+3y)^2=(2x+3y)^2(16+9)=25(2x+3y)^2,[/tex]

this is an identity

Answer:

The value of sin t is [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

Given as :

cos (t) = [tex]\frac{24}{25}[/tex]

Since sin² t + cos² t = 1

So, sin² t = 1 - cos² t

or,  sin² t = 1 - ([tex]\frac{24}{25}[/tex])²

or,  sin² t = [tex]\frac{25^{2} - 24^{2} }{25^{2} }[/tex]

Or,  sin² t = [tex]\frac{625 - 576}{625}[/tex]

Or ,   sin² t = [tex]\frac{49}{625}[/tex]

Or, sin t = [tex]\sqrt{\frac{49}{625} }[/tex]

So, sin t = [tex]\frac{7}{25}[/tex]

Hence The value of sin t is [tex]\frac{7}{25}[/tex]   Answer

Answer:

Step-by-step explanation:

18

9+3=12+6=18

Answer:

18

Step-by-step explanation:

Add 9 and 3;

9 + 3 = 12

Then add 6 to the result

12 + 6 = 18

Answer:

The amount charged is proportional to the ears of corn

Step-by-step explanation:

Now I'm going to explain, but write it in your own words. It's proportional because the amount charged is completely reliant on how many ears of corn you are buying.

So for every 1 ear of corn, you pay about 33 cents

or

For every 2 ears of corn, you pay about 67 cents

Answer:

∠A=67°

∠B=70°

∠C=43°

Step-by-step explanation:

The correct question in English is

Determines the measurement of each of the angles of the triangle ABC if it is known that A=(3x+1)°,B=(3x+4)° and C=(2x-1)°.

we know that

The measure of the interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

substitute the given values

[tex](3x+1)\°+(3x+4)\°+(2x-1)\°=180\°[/tex]

solve for x

[tex](8x+4)\°=180\°[/tex]

[tex]8x=180-4[/tex]

[tex]x=22[/tex]

Find the measure of each angle

∠A=(3(22)+1)=67°

∠B=(3(22)+4)=70°

∠C=(2(22)-1)=43°

Answer:

Monthly Salary = $2,600

Step-by-step explanation:

Monthly rent on monthly salary = 25%

Monthly rent = $650.

To determine the monthly sale, we have to use the unitary method.

25% monthly rent on monthly salary means out of $100, Deja spends $25 on her rent.

Therefore,

Deja spends $25 on her rent, when the monthly salary   = $100

Deja spends $1 on her rent, when the monthly salary      = [tex]\frac{100}{25}[/tex]

Deja spends $650 on her rent, when the monthly salary = [tex]\frac{100*650}{25}[/tex]

= [tex]\frac{65000}{25}[/tex]

= $2,600

Her monthly salary is $2,600.

It will take the bug 7.5s to travel across the floor.

Step-by-step explanation:

Distance = 7.5 meters

Speed = 1 m/s

The formula for speed is

[tex]Speed = \frac{Distance}{Time}\\\\Time = \frac{Distance}{Speed}\\Time=\frac{7.5}{1}\\Time=7.5\ s[/tex]

It will take the bug 7.5s to travel across the floor.

Keywords: distance, speed

Learn more about distance at:

#LearnwithBrainly

(C) 7/10 cup is the correct answer

Step-by-step explanation:

First of all we will calculate the 40% of grandmother's recipe then add it to the given flour in grandma's recipe

So,

The amount of flour in grandma's recipe = F_g = 1/2 cups

Calculating percentage

[tex]=40\%\ of\ \frac{1}{2}\\=\frac{40}{100}*\frac{1}{2}\\=\frac{2}{10}[/tex]

So Evelyn needs to add 2/10 cups more to the original quantity.

So,

Flour used by Evelyn:

[tex]=\frac{1}{2}+\frac{2}{10}\\\\=\frac{5+2}{10}\\\\=\frac{7}{10}\ cups[/tex]

Hence,

(C) 7/10 cup is the correct answer

Keywords: Percentage, Quantity

Learn more about percentage at:

#LearnwithBrainly

To find the x-intercept of the linear equation y = 1/4x + 5/4, substitute y = 0 into the equation and solve for x. The x-intercept is -5.

To find the x-intercept of the graph of the equation y = 1/4x + 5/4, we need to set the y-value to 0 and solve for x.

So, by substituting y = 0 into the equation, we get 0 = 1/4x + 5/4.  

Now, we can solve for x by isolating x on one side of the equation. Subtracting 5/4 from both sides gives us -5/4 = 1/4x. Multiplying both sides by 4 gives us -5 = x, or x = -5.

Therefore, the x-intercept of the graph is -5.

https://brainly.com/question/27887128

#SPJ2

Answer:1 C milk

Step-by-step explanation:

1/2 C milk = 2 C chocolate

1 C milk = 4 C chocolate

Answer:

1 cup of milk

Step-by-step explanation:

If 1/2 cup of milk is needed for 2 cups of chocolate, and you need to find how much milk is needed for 4 cups, then you'd follow the same steps as going from 2 cups to 4, multiplying by 2.

2 cups chocolate x 2 = 4 cups chocolate

1/2 cup milk x 2 = 1 cup

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

[tex]x+y=2,800[/tex] ----> [tex]y=2,800-x[/tex] ----> equation A

[tex]5\%=5/100=0.05[/tex]

[tex]3\%=3/100=0.03[/tex]

[tex]0.05x+0.03y=104[/tex] ----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]0.05x+0.03(2,800-x)=104[/tex]

Solve for x

[tex]0.05x+84-0.03x=104[/tex]

[tex]0.05x-0.03x=104-84[/tex]

[tex]0.02x=20[/tex]

[tex]x=\$1,000[/tex]

Find the value of y

[tex]y=2,800-x[/tex]

[tex]y=2,800-1,000=\$1,800[/tex]

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

The original selling price of the ski set is $585.71.

Step 1: Determine the final sale price after the first markdown

The one-day sale price of the ski set is $328, and the first markdown is 20%. To find the final sale price after the first markdown, we can set up the equation:

0.80 × Original Price = $328

Solving for the original price, we get:

Original Price = $328 / 0.80 = $410

Therefore, the final sale price after the first markdown is $410.

Step 2: Determine the original selling price

The final sale price after the first markdown is $410, and the second markdown is 30%. To find the original selling price, we can set up the equation:

0.70 × Original Price = $410

Solving for the original price, we get:

Original Price = $410 / 0.70 = $585.71

Therefore, the original selling price of the ski set is $585.71.

Answer:

The speed at which the satellite travel is 6.80 miles per second

Step-by-step explanation:

Given as :

The distance cover by satellites = 29 [tex]\frac{1}{2}[/tex]  miles

Or, The distance cover by satellites  = [tex]\frac{59}{2}[/tex] miles

The Time taken by satellite to travel with this speed = 4[tex]\frac{1}{3}[/tex] sec

Or, The Time taken by satellite to travel with this speed = [tex]\frac{13}{3}[/tex] seconds

Let the Speed with which the satellite travel = s miles per second

Now, As we know

Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]

Or, s = [tex]\frac{\frac{52}{2}}{\frac{13}{3}}[/tex]

or, s = [tex]\frac{59\times 3}{2\times 13}[/tex]

∴ s = 6.80 mps

So, speed = s = 6.80 miles per second

Hence The speed at which the satellite travel is 6.80 miles per second Anwser

Final answer:

The perimeter of the isosceles triangle with a base of 20 meters and height of 24 meters is 60 meters.

Explanation:

The formula for the area of a triangle is 1/2 × base × height.

In this case, the base of the isosceles triangle is given as 20 meters and the corresponding height is given as 24 meters.

1 minute has 60 seconds. So dividing the number of seconds jack has to walk from school to home by 60 will give us minutes.

[tex]t=\dfrac{360\mathrm{s}}{60}=\boxed{6\mathrm{min}}[/tex]

Hope this helps.

Answer:

$25.30

Step-by-step explanation:

The final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

You get a haircut that cost $23.if you tip the barber 10% of the total hair cut cost.

Let x be the final bill amount.

The value of x can be found as follows:

x = $23 + 10% of $23

x = 23 + (10/100)23

x = 23 + 0.1(23)

x = 23 + 2.30

x = $25.30

Thus, the final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Answer:

x ≤ 3

This is because it is a closed circle.

Answer:

The are infinite

Step-by-step explanation:

some are 1,-1

2,-2

3,-3

10000,-10000

Answer:

It’s a

Step-by-step explanation:

Answer:

(-8, -21)

Step-by-step explanation:

y=2x-5

3x+3=y

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

2x-5=3x+3

2x-3x-5=3

-x-5=3

-x=3+5

-x=8

x=-8

y=2(-8)-5=-16-5=-21

Answer: x=-8, y=-21.

Final answer:

The sum of two positive numbers always has a positive sign, so the sum of 3/5 + 3/5 is positive.

Explanation:

The question what is the sign of 3/5 + 3/5 involves understanding the rules of addition for numbers with the same sign. According to the rules of addition:

When two positive numbers add, the answer has a +ve sign.

Since both fractions 3/5 and 3/5 are positive, their sum will also have a positive sign. Therefore, the sign of the sum 3/5 + 3/5 is +ve, which means the answer is also positive.