It took me 3 hours to visit my friend in Maine, averaging a speed of 58 miles per hour. If it took me 15 minutes less to get back home, what was my average speed coming home?

Answer:

Problem 1

6m + 10 - 10m

4m + 10

Answer:  4m + 10

Problem 2

8x - 2y + x + x

8x + 2x - 2y

10x - 2y

Answer:  Option D, 10x - 2y

Answer: 32.5g of sugar

Step-by-step explanation:

if 1/2 cup of fruit cocktail is 13g of sugar then half of that, or 1/4 cup is going to be 6.5g of sugar. With that in mind, multiplying our 1/2 by 2 to give us one full cup of fruit cocktail will tell us that there is 26g of sugar in one cup. Adding our 1/4 cup to our whole cup will give us 32.5g of sugar in 1 1/4 cups of fruit cocktail.

Answer: There are 32.5g of sugar in 1 1/4 cup of fruit cocktail.

Step-by-step explanation:

13/2= 6.5

1/4 cups = 6.5g of sugar

6.5x5= 32.5g

Hope this helps!

Answer:

80

Step-by-step explanation:

The length of the arc is 31.92 units

Explanation:

Given that the sector of a circle of radius 6 units.

The angle is given by [tex]\theta=305^{\circ}[/tex]

Arc length of the circle:

The arc length of the circle can be determined using the formula,

[tex]\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)[/tex]

where r = 6 and [tex]\theta=305^{\circ}[/tex]

Substituting the values, we have,

[tex]\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)[/tex]

Multiplying the numerator, we have,

[tex]\ {arc\ length}=\frac{3660 \pi}{360}[/tex]

Substituting [tex]\pi=3.14[/tex], we have,

[tex]\ {arc\ length}=\frac{3660(3.14)}{360}[/tex]

Multiplying the terms, we get,

[tex]\ {arc\ length}=\frac{11492.4}{360}[/tex]

Dividing, we get,

[tex]\ {arc\ length}=31.92 \ units[/tex]

Thus, the arc length of the circle is 31.92 units

Answer:

Step-by-step explanation: 0.97 times 6 to get 5.82

Then 2.64 plus 5.82 to get 8.46

Lastly 20 - 8.46 = 11.54

Answer:

Step-by-step explanation:

Good luck

Answer:

(10^-6) (5.2x1.5 )=10^-6 x 7.8 = 7.8 x10^-6

Step-by-step explanation:

0.000001 x7.8=0.0000078

Answer:

B = 2t + 7,536

Step-by-step explanation:

B - 7,536 = 2t

Add 7,536 to both sides.

B = 2t + 7,536

Answer:

x > 2r^2/13 + 15/13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x > 2r^2/13 + 15/13

Answer:   [tex]\bold{\dfrac{3}{2}<x<5\quad \rightarrow \quad \text{Interval Notation}: \bigg(\dfrac{3}{2},5\bigg)}[/tex]

Step-by-step explanation:

First, factor the inequality and solve for x to find the zeros.

Then, choose test points on the outside of those values and between them.

Plug them in to determine which one(s) yield a negative (< 0).

2x² - 13x + 15 < 0

(2x - 3)(x - 5) < 0

2x - 3 = 0     and      x - 5 = 0

      x = 3/2     and        x = 5

I choose the left test point of 0            (2(0) - 3) × (0 - 5) > 0  (+)

I choose the between test point of 2   (2(2) - 3) × (2 - 5) < 0  (-)

I choose the right test point of 6          (2(6) - 3) × (6 - 5) > 0  (+)

Illustration of Graph:

     +                               ---                                  +

←----|----------o----------------|---------------o--------------|----→

     0          3/2                2                5              6

Since the "between" test point is the only one that yielded a negative, then the solution is the values between 3/2 and 5.

As a percent, the odds of having an allergic reaction would be 2%.

This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.

None of the choices equal 1/50, so let's just make it a percentage anyway.

1/50 ---> 0.02

0.02 ---> 2%

The answer is 2%, or 1/50 as a fraction.

Answer: 36 square inches

Step-by-step explanation: The trapezoid is divided into three triangles.

The formula for the area of a triangle is 1/2(b*h). Replace the variables with the values in the drawing.

1/2(4*6)

= 1/2(24)

=12

There are 3 triangles, so multiply the area of 1 triangle (which is 12) by 3.

12*3

=36

Label the final answer.

36 square inches

Answer:

Larger number(x)=20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number= x.

3 times the larger number=3x

4 times the smaller number=4(35-x)

Now, input it into an equation and solve:

3x=4(35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x= the larger number, x=20.

To find the larger number when the sum of two numbers is given and the relationship between them is described, we can set up and solve an equation.

To solve this problem, we can set up two equations based on the given information. Let x represent the larger number and 35 - x represent the smaller number. According to the problem, we have the equation 3x = 4(35 - x). Solving this equation will give us the value of x, which represents the larger number.

Expanding the equation, we have 3x = 140 - 4x. Combining like terms, we get 7x = 140. Dividing both sides by 7, we find that x = 20. Therefore, the larger number is 20.

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Answer:

The cost for Zach's lunch is 12, and for Brain's lunch it cost 8.

Step-by-step explanation:

Since, I am sorry, you can answer from here in out. ;)

Zach spent $6 on lunch and Brian spent $19 on lunch.

To solve this problem, we need to create an equation based on the given information.

Let's assume Zach's lunch cost x dollars.

According to the problem, Brian's lunch cost $4 less than 3 times Zach's lunch, which can be expressed as 3x - 4 dollars.

The total cost for lunch was $25, so we can write the equation: x + (3x - 4) = 25.

Solving this equation, we find that Zach spent $6 on lunch and Brian spent $19 on lunch.

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Hello! Remember you have to write complete question in order to get good and exact answers. Here you haven't provided any function, so I'll help you providing this one:

[tex]f(x)=3x^2+5x-6[/tex]

So [tex]f(2)[/tex] means that you need to evaluate the function when [tex]x=2[/tex]. In other words:

[tex]f(2)=3(2)^2+5(2)-6 \\ \\ f(2)=3(4)+10-6 \\ \\ f(2)=12+12-6 \\ \\ \boxed{f(2)=16}[/tex]

In this context:

Correct option is B. 16

y-y1=m(x-x1) where (x1, y1)=(1, -7)

y+7=-4(x-1)

y+7=-4x+4

y+7=(-4x+4)*4

y+7=-x+16

y=-x+9

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

y=9−x

y−9=−x

−y+9=x

9−y=x

x=9−y

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

x=9−y

y*x=9 put 1 in for x

y=9

The value of [y] in the coordinate (-3, y) through which the line passes is 9 units.

The general equation of a straight line is -

y = mx + c

Where -

m is the slope of the line.

c is the y - intercept

Given is a line that passes through the points (-3, y) and (1, -7). The slope of this line is m = -4.

We can write from the above data -

The coordinates through which the line passes are → (-3, y) and (1, -7)

Now, the general equation of line -

y = mx + c

So -

- 7 = -4 x 1 + c

- 7 = -4 x 1 + c

- 7 = - 4 + c

c = - 7 + 4

c = - 3

Therefore, we can write, for coordinate (-3, y) as -

y = -4 x -3 - 3

y = 12 - 3

y = 9

The value of [y] will be 9 units.

Therefore, the value of [y] in the coordinate (-3, y) is 9 units.

To solve more questions on straight line graphs, visit the link below-

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Answer:

-290/180 × pi

-29pi/18

Or, -5.06

Ans is 49.

If we multiply 7*7 then we can get 49 as result.49 is the square number of 7.

HOPE THIS WILL HELP U..✌

The square number between 26 and 63 that is odd will be 49.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The number is between 26 and 63.

26  27  28  29  30  31  32  33  34   35  36   37   38   39   40   41   42    43    44   45    46    47     48     49      50     51     52     53     54    55    56    57   58    59    60    61    62    63

From the given numbers,

49 is the square number between 26 and 63 which is odd.

Here, 7 × 7 = 49

Therefore, the square number between 26 and 63 is 49

odd is 49 as 7 × 7 = 49.

Learn more about a number pattern:

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Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.

Answer:

$1.17 per glove

Step-by-step explanation:

56.16 divided by 4 then divide that number by 12

Answer:x=-2/3

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The prior flips have no influence on the outcome of the 6th flip. its still a 50-50 chance to flip tails

Answer:

R = 23.9

Step-by-step explanation:

formula for circles circumfrence is, C = 2*3.14*R

in this one we have to work backwards so we plug wut we have.

150 = 2*  3.14*R

we divide 150 by 2 so it will be

75 = 3.14R

now we divide 75 by pi so wwe get

23.8732414638 = R

Now we round it to nearest tenth

R = 23.9

Answer:

Step-by-step explanation:

3x-2y=10

5x+y=4

15x-10y=50

15x+3y=12

-13y=38

y=-38/13

Substitute for y

x=54/39

Answer:

the equation is C: y=6x-6

Answer:

Step-by-step explanation:

(1,0) (2,6)

(6-0)/(2-1)

6/1= 6

y - 0 = 6(x -1)

y = 6x - 6

answer is c

Answer:9400 backpacks

[tex]\geq[/tex]Step-by-step explanation

since the number of packs to be sold in a  is represented by x,

selling price for 1 week = 35x

cost price for 1 week = 15x

profit = 35x-15x = 20x

additional cost of production = 11,000

this implies that 20x - 11,000 [tex]\geq[/tex] 7800

20x - 11,000 [tex]\geq[/tex] 7,800

20x [tex]\geq[/tex] 7800+ 11000

20x [tex]\geq[/tex] 18,800

x [tex]\geq[/tex] 18800/2

x [tex]\geq[/tex] 9,400

at least 9,400 packs have to be sold each week to make a profit of $7800

Answer:

A

Step-by-step explanation:

Given

4x - 5y = 14 ← substitute y = 2 into the equation and solve for x

4x - 5(2) = 14, that is

4x - 10 = 14 ( add 10 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6 → A

Answer:

[tex]6,500\ cars[/tex]

Step-by-step explanation:

Let

x ---> the number of people

y ---> the number of cars

we know that

The ratio of people to cars is approximately 1.85 : 1

so

[tex]\frac{x}{y}=\frac{1.85}{1}[/tex]

[tex]x=1.85y[/tex] -----> equation A

12,100 people live in  the city

so

[tex]x=12,100[/tex]

substitute the value of x in the equation A

[tex]12,100=1.85y[/tex]

solve for y

[tex]y=6,540.54\ cars[/tex]

to the nearest 100 car

[tex]y=6,500\ cars[/tex]

Final answer:

To find the number of cars in the city, divide 12,100 by the ratio of people to cars (1.85:1), resulting in approximately 6,540.05 cars. Rounded to the nearest hundred, the city has about 6,500 cars.

Explanation:

The question is about finding the number of cars in a small U.S. city given the ratio of people to cars is approximately 1.85:1 and there are 12,100 people living in the city. To solve this, we divide the total number of people by the given ratio to find the approximate number of cars. Firstly, find the proportion of cars to people by taking the reciprocal of 1.85, which gives us approximately 0.5405. Then, multiply this proportion by the total population to estimate the number of cars.

Calculation:

Number of cars = Total population × Proportion of cars to people

Number of cars = 12,100 × 0.5405 ≈ 6,540.05

Rounded to the nearest hundred, the city has approximately 6,500 cars.

The international company has 46864 employees in total.

Step-by-step explanation:

Given that,

An international company has 12,700 employees in one country.

And, this 12,700 employees represents 27.1% of the company's employees.

Therefore, the total number of employees can be found by calculating the 100% of the employees.

Let us assume that the total number of the employees be 'x'.

From the x number of employees, 12,700 employees were 27.1%

Now, framing the above statement in the equation form to solve for x :

⇒ 27.1 % of x = 12700

⇒ (27.1 / 100) x = 12700

⇒ 0.271 x = 12700

⇒ x = 12700 / 0.271

⇒ x = 46863.5 (which is approximately 46864 employees)

Therefore, the total number of employees is 46864.

B. Probability of long sleeve female is zero.

C. Probability of rolled-up male is 1/4.

Step-by-step explanation:

A. The table from the picture :

             Long Sleeves    Short Sleeves    Rolled-up Sleeves

Male           3                          0                          2

Female      0                           3                          0

B. The probability that the student selected will be a female with long sleeves :

From the table,

It is determined that no female are with long sleeve.

So, the probability of choosing female with long sleeve is 0.

C. The probability that the student selected will be a male with rolled-up sleeves :

From the table,

The number of males with rolled-up sleeves = 2

Total number of students = 8

P(rolled-up male) = 2/8 = 1/4.

The probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.

Let's first complete the table...

1. Long Sleeves:

2. Short Sleeves:

3. Rolled-up Sleeves:

Probability Calculations

Total number of students = 3 (Male, Long Sleeves) + 0 (Female, Long Sleeves) + 0 (Male, Short Sleeves) + 3 (Female, Short Sleeves) + 2 (Male, Rolled-up Sleeves) + 0 (Female, Rolled-up Sleeves) = 8.

Probability of Selecting a Female with Long Sleeves

P(Female with Long Sleeves) = Number of Females with Long Sleeves / Total Students = 0/8 = 0.

Probability of Selecting a Male with Rolled-up Sleeves

P(Male with Rolled-up Sleeves) = Number of Males with Rolled-up Sleeves / Total Students = 2/8 = 1/4.

Therefore, the probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.

Complete question: Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.

Enter all fractions in reduced form.

A. Use the picture to complete the following table.

                   Long Sleeves     Short Sleeves    Rolled-up Sleeves

Male                     3                           0                                2

Female                 0                          3                               0

B. What is the probability that the student selected will be a female with long sleeves?

C. What is the probability that the student selected will be a male with rolled-up sleeves?