evaluate the expression 3 4/5x-2 1/2 for x =-10

Answer:

40

Step-by-step explanation:

Use Pythagorean Theorem to find the 3rd side, which will be 17. Then add all of the sides and you'll get the answer.

Check the picture below.

Answer:

x = 3 , y = 5

Step-by-step explanation:

Solve the following system:

{3 y - 7 x = -6 | (equation 1)

3 y - 3 x = 6 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+(12 y)/7 = 60/7 | (equation 2)

Multiply equation 2 by 7/12:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{-(7 x)+0 y = -21 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 3 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = 3 , y = 5

Answer:

(3, 5)

Step-by-step explanation:

−7x + 3y = −6

−3x + 3y = 6

Subtract the second equation from the first.

−4x = −12

x = 3

Then substitute. → −7x + 3y = −6 → −7(3) + 3y = −6

y = 5

Answer:

a = 3

Step-by-step explanation:

b = 3

10*3 = 30

45-30 = 15

15/5 = a

a = 3

Answer:

15

Step-by-step explanation:

5a-10(3)=45

5a=45+30

5a=75

a=15

I'm not 100% sure about part A, but it looks like a regular hexagon is being constructed. Though some marks seem to be missing. Again I'm not fully certain.

But I'm sure about parts B and C.

For part B, this is showing the construction of the perpendicular bisector to segment AB. The perpendicular bisector is perpendicular to the given segment and it cuts the given segment AB in half.

In part C, a line is being constructed to go through point R such that it is parallel to line PQ.

Answer:

B

Step-by-step explanation:

Given

3x > 6 ( divide both sides by 3 )

x > 2

> is denoted by an open circle at 2 on the number line, meaning that x cannot equal 2. Since values are greater than 2 then numbers to the right of 2 are shaded.

This would be represented by graph B

Answer: B.) Open circle on 2 and all the numbers to the right are shaded

Step-by-step explanation:

The given inequality : [tex]3x>6[/tex]

Divide both sides by 3 , we get

[tex]x>2[/tex]

i.e. x is a numerical value strictly greater than 2 i.e. 2 is not-included.

When we plot this inequality on Number line , we starts with an open circle on 2 that signifies that 2 in not included and shade on the right side because x is greater than 2 which lies on the right side of 2 .

Hence, the correct answer is B.) Open circle on 2 and all the numbers to the right are shaded .

Answer:

C. 36π

Step-by-step explanation:

The formula for volume of a sphere is:

V=⁴/₃πr³

We are given diameter: 6

To convert to radius, divide by 2.

6÷2=3. R=3

Plug in to formula

V=⁴/₃π3³

Simplify with multiplication

V=⁴/₃π27

V=36π

Answer: 7(1+2x)

Step-by-step explanation:

7 and 14 can be divided by 7. As a result, you take 7 out and bam!

Answer: 3 and 2/3

Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.

Notice here however that we have 1/3 - 2/3 which will gives us a negative fraction. Since this will cause us a lot of trouble, instead, we can rewrite the first mixed number. We can do this by thinking of 6 and 1/3 as 5 + 1 and 1/3 or as 5 + 4/3 by changing 1 and 1/3 into an improper fraction.

So 6 and 1/3 can be written as 5 and 4/3.

Now we have 5 and 4/3 - 2 and 2/3.

Now, subtract the fractions.

So we have 4/3 - 2/3 which is 2/3. Then subtract the whole numbers. 5 - 2 is 3 and now we have the mixed number 3 and 2/3 which is in lowest terms.

Therefore, 6 and 1/3 - 2 and 2/3 = 3 and 2/3.

Since both fractions have common denominators we can just put them into improper fractions.

6 1/3 = 19/3

2 2/3 = 8/3

Now, we can subtract. (When you add or subtract fractions you only add or subtract the numerators, never the denominators.)

19/3 - 8/3 = 11/3

Turn into mixed number.

11/3 → 3 2/3

______

Best of Luck,

Wolfyy :)

Answer:

The group lose each day 8.8 pounds.

Step-by-step explanation:

Given:

Fitness club members lose a combined total of 28 kilograms in 1 week.

There are approximately 2.2 pounds in 1  kilogram.

The weight loss happened at a constant rate.

Now, to find the pounds of weight the group lose in each day.

In 1 week the group lose = 28 kilograms.

So, in 1 day the group lose [tex]=28\div 7 kilograms[/tex]  (1 week = 7 days)

                                            [tex]=4 kilograms.[/tex]

According to question:

1 kilogram = 2.2 pounds.

So, 4 kilograms [tex]= 2.2\times 4 = 8.8 pounds.[/tex]

Therefore, the group lose each day 8.8 pounds.

The pebble hits the ground approximately 8.88 seconds after it is thrown, based on the given equation for its height.

To find out when the pebble hits the ground, we need to find the time when the height h(t) equals 0.

Given that the height h(t) of the pebble after t seconds is given by the equation:

[tex]\[ h(t) = -16t^2 + 16t + 1400 \][/tex]

We set h(t) to 0 and solve for t:

[tex]\[ -16t^2 + 16t + 1400 = 0 \][/tex]

Now, we can use the quadratic formula to solve for t :

[tex]\[ t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]

where a = -16, b = 16, and c = 1400.

Plugging these values into the quadratic formula:

[tex]\[ t = \frac{{-16 \pm \sqrt{{16^2 - 4(-16)(1400)}}}}{{2(-16)}} \]\[ t = \frac{{-16 \pm \sqrt{{256 + 89600}}}}{{-32}} \]\[ t = \frac{{-16 \pm \sqrt{{89856}}}}{{-32}} \]\[ t = \frac{{-16 \pm 300.1}}{{-32}} \][/tex]

We'll ignore the negative solution because time can't be negative in this context. So, we use the positive solution:

[tex]\[ t = \frac{{-16 + 300.1}}{{-32}} \]\[ t = \frac{{284.1}}{{-32}} \]\[ t \approx -8.88 \][/tex]

Since time can't be negative, we discard this solution. The only meaningful solution is when the pebble hits the ground. Thus, the pebble hits the ground approximately 8.88 seconds after it is thrown.

Final answer:

James's speed in miles per hour is calculated by dividing the distance walked (3 3/4 miles) by the time taken (7/8 hour), resulting in an average speed of approximately 4.29 miles per hour.

Explanation:

To calculate James's speed in miles per hour, we first need to determine how many hours he was walking. Since he walked for 7/8 of an hour, we then divide the distance he walked, 3 3/4 miles, by the time in hours to find his speed. The calculation is as follows:

Speed = Distance / Time

Convert 3 3/4 miles to a decimal, which is 3.75 miles. Then take 7/8 hour and convert to decimal form, which is approximately 0.875 hours. Therefore:

Speed = 3.75 miles / 0.875 hours = 4.29 miles per hour (rounded to two decimal places).

Thus, James's average speed was approximately 4.29 miles per hour.

Answer:

4 times 7 time 4 = 112

Answer: $480.

Step-by-step explanation:

1 year = 12

2 years = 24

$20 × 24 = $480

Answer:

$480

Step-by-step explanation:

so there is 12 months in a year but 2 years is 24 months so just do 24 times the 20 dollars on book for each month and you get that he spends $480 in 2 years

(24 times 20=$480)

Answer:

The total number of Green team members is 160.

Step-by-step explanation:

Given 90% of the total members present at the meeting which is 144.

Let the total number of members be x.

[tex]90\%\ of x=144\\\frac{90\times\ x}{100}=144\\9x=1440\\x=\frac{1440}{9}=160[/tex]

Hence we can say that, The total number of Green team members is 160.

Answer:

160

Step-by-step explanation:

One hot dog costs $1.75 and one hamburger costs $2.25

Step-by-step explanation:

Let,

Hot dog = x

Hamburger = y

According to given statement;

7x+2y=16.75   Eqn 1

2x+7y=19.25   Eqn 2

Multiplying Eqn 1 by 2;

[tex]2(7x+2y=16.75)\\14x+4y=33.50\ \ \ Eqn\ 3[/tex]

Multiplying Eqn 2 by 7;

[tex]7(2x+7y=19.25)\\14x+49y=134.75\ \ \ Eqn\ 4[/tex]

Subtracting Eqn 3 from Eqn 4;

[tex](14x+49y)-(14x+4y)=134.75-33.50\\14x+49y-14x-4y=101.25\\45y=101.25[/tex]

Dividing both sides by 45;

[tex]\frac{45y}{45}=\frac{101.25}{45}\\y=2.25[/tex]

Putting y=2.25 in Eqn 1

[tex]7x+2(2.25)=16.75\\7x+4.50=16.75\\7x=16.75-4.50\\7x=12.25[/tex]

Dividing both sides by 7;

[tex]\frac{7x}{7}=\frac{12.25}{7}\\x=1.75[/tex]

One hot dog costs $1.75 and one hamburger costs $2.25

Keywords: linear equations, subtraction

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By using a system of linear equations, the cost of one hamburger is computed to be $2.25 and the cost of one hot dog is computed to be $1.75.

This question involves the use of a system of linear equations to solve for the cost of one hot dog and one hamburger. Let us denote the cost of one hot dog as 'd' and the cost of one hamburger as 'h'. We are given two equations from the problem: 7d + 2h = 16.75 and 2d + 7h = 19.25. Now we can solve this system for values of 'd' and 'h'.

First, we can multiply the first equation by 2 and the second by 7 to make the coefficients of 'h' the same in each equation: 14d + 4h = 33.5 and 14d + 49h = 134.75.

Subtracting the first equation from the second gives us 45h = 101.25. Finally, dividing both sides by 45, we find that h = $2.25 which is the cost of one hamburger.

Substitute h = $2.25 back into the first equation: 7d + 2($2.25) = 16.75. Simplifying, we get 7d = $12.25, and dividing both sides by 7 gives us d = $1.75 which is the cost of one hot dog.

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There is no illustration, so it is impossible to answer this question. I apologize.

Answer: 6 goes into 26 4 times.

Step-by-step explanation:

Because 6 * 10 is 60, we know that it cannot be more than 10.

5 * 6 = 30, so we know it cannot be more than 5.

6 * 4 = 24. Because we cannot add 6 more, we know that 24 is the highest we can go.

Answer:

4 with remainder of 2

Step-by-step explanation:

26/6=4 2/6=4 1/3

Answer:

(a)The cost of per ounce of yogurt = $0.45

(b) The the cost of Reid's bowl = $3.51

Step-by-step explanation:

Here, according to the question :

The cost of 9.2 ounce yogurt bowl = $4 .14

The cost of 8.1 ounce yogurt bowl = $3.65

(a) Now, [tex]\textrm{Cost of 1 ounce of yogurt}  = \frac{\textrm{Price of n ounce of yogurt}}{\textrm{ n}}[/tex]

= [tex]\frac{\textrm{Price of 9.2 ounce of yogurt}}{\textrm{ 9.2}} = \frac{4.14}{9.2}   = 0.45[/tex]

So, the cost of per ounce of yogurt = $0.45

(b) Now, the amount if yogurt in Reid's Bowl =  7.8 ounces

So, the total cost of her bowl  with 7.8 ounce yogurt  = 7.8 x ( cost of 1 ounce of yogurt)

= 7.8 x ( $0.45) = $3.51

So, the the cost of Reid's bowl = $3.51

Answer:

A) $0.45 per oz

B) $3.51

4.14/9.2 = 0.45

0.45 x 7.8 = 3.51

Step-by-step explanation:

Answer:

They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Step-by-step explanation:

Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.

With respect to this reference,

the position of top most point is +17 [tex]\frac{3}{4}[/tex] yards

and the position of lower most point is -13 [tex]\frac{1}{4}[/tex] yards

⇒ The position of midpoint is [tex]\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}[/tex]

                                              = +2 [tex]\frac{1}{4}[/tex]

∴ They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Answer:

80 words. 4/5 of 100 is 80

Step-by-step explanation:

Answer: 80

5th of a minute is 12 seconds so 4/5 equals 48 seconds.

100 words per minute equals 1.66666667 words per second ( 100 divided by 60)

So 1.66666667 X 48 = 80)

Step-by-step explanation:

Answer:

Improper Fraction- 5.9= 59/10

Mixed number-  5 9/10

Step-by-step explanation:

The mixed fraction of 5.9 is equal to  [tex]5\frac{9}{10}[/tex].

The given decimal number is,

5.9

We have to convert it into mixed fraction,

In order to get mixed fraction first of all convert it into fraction.

Since we know that,

A mixed fraction is one that is created by mixing a whole number and a proper fraction.

Now multiply and divide this with 10 we get,

5.9 = (5.9x10)/10

      = 59/10

Now proceed it by long division method,

10 ) 59 ( 5

   -  50

______

         9

Hence, the mixed fraction of the given number is,

⇒ 5.9 = [tex]5\frac{9}{10}[/tex]

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Answer:

4 shelfs are needed

Step-by-step explanation:

24/6= 4

Answer:

x = 11

Step-by-step explanation:

Given

9x - 43 = 5x + 1 ( subtract 5x from both sides )

4x - 43 = 1 ( add 43 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

The area will be 2522.60 km^2 after 11 years

Step-by-step explanation:

First of all, we have to form a funtion for the given scenario.

Let

A be the initial area

r be the decrease rate

and t be the time

Let A_n be the area after t years

Then the function can be given by:

[tex]A_n=A(1-r)^t[/tex]

Given

A=4700 km^2

r=5.5%

t=11 years

Putting the value of rate

[tex]A_n=4700(1-0.055)^t\\=4700(0.945)^t[/tex]

The function can be used to calculate the reduced area

Putting t=11

[tex]A_n=4700(0.945)^{11}\\=2522.596[/tex]

Rounding off to nearest hundredth

[tex]A_n=2522.60\ km^2[/tex]

The area will be 2522.60 km^2 after 11 years

Keywords: Area, Functions

Learn more about functions at:

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Final answer:

To find the forest area after 11 years with an annual decrease of 5.5%, the exponential decay formula can be applied using the initial forest area and the given rate of decrease.

Explanation:

The question is asking how to calculate the decrease in the forest area over a period of time using a fixed percentage decrease per year. We'll use the formula for exponential decay to find the forest area after 11 years, which is expressed by A = P(1 - r)^t, where A is the amount after time t, P is the initial amount, r is the rate of decrease, and t is the time in years.

To compute the forest area after 11 years with an annual decrease of 5.5%, we'll plug P = 4700 km², r = 0.055, and t = 11 years into the formula. Therefore, the calculation is as follows:

A = 4700 × (1 - 0.055)[tex]11^{2}[/tex]

= 5,37,421.5

After calculating the above expression, we will get the reduced forest area in square kilometers.

The value of f(-3) will be zero

Step-by-step explanation:

Given ordered pair of function f is:

(7,0) )(-3,0) (2,0)(9,0)

The general form of ordered pair is (x,y) where x is the element of domain of function and y is the respective range value i.e. x is input and y is output

So,

In order to find the value of f(-3) we have to observe which ordered pair has -3 as input i.e. as first element of ordered pair

The required ordered pair is: (-3,0)

In the required pair, -3 is the input and 0 is the respective output

So,

The value of f(-3) will be zero

Keywords: Domain, Range

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Answer: Last option.

Step-by-step explanation:

By definition, Inverse variation equations  have this form:

[tex]y=\frac{k}{x}[/tex]

Where "k" is the constant of variation.

In this case, it is:

[tex]g(n)=\frac{k}{n}[/tex]

Knowing that [tex]g(n) = 8[/tex] when [tex]n = 3[/tex], we can substitute values into the equation and solve for "k":

[tex]8=\frac{k}{3}\\\\8*3=k\\\\k=24[/tex]

Therefore, we can find the value of "n" when [tex]g(n) = 6[/tex] by substiuting this value and the value of "k" into the equation and solving for "n". Then:

[tex]6=\frac{24}{n}\\\\6n=24\\\\n=\frac{24}{6}\\\\n=4[/tex]

Answer:

Persian-Maine Coon-American Shorthair

Step-by-step explanation:

If you look back at the question, you will see the numbers 13.65,13.07, and 13.6. So, we'll do this by digits.

The first digit of all the numbers is 1. So we'll move on. The second digit is a3, of which all numbers have in common. So we'll move on again. So now ur down to the digits 6, 0, and 6. Well, 13.07 belongs to the Persian. Then You'll see a 6, which belongs to the Maine coon. Lastly, you have another 6, which goes to the American shorthair. Correct me if i'm wrong :-)

Answer:

9 sides!

Step-by-step explanation:

Nonagon has it's each interior angle measure as 140 degrees.

Polygon with 9 sides!

the answer is 100....... ...

Answer:

Perimeter of trapezoid ABEF= 16x +4

Step-by-step explanation:

Since it is an equilateral triangle

AC = BC = BC = 7x - 2

Point E and F is formed at mid point of line AC and BC respectively.

Therefore AE = 1/2 x AC and BF = 1/2 x BC

Perimeter of trapezoid ABEF = AB + EF + AE + BF

AB = 7x - 2

EF = 2x + 8

AE = (7x - 2)/2

BF = (7x - 2)/2

Perimeter = 7x - 2 + 2x + 8 + (7x - 2)/2 + (7x - 2)/2

= 7x - 2 + 2x + 8 + 7x - 2

= 7x + 2x + 7x - 2 + 8 - 2

Perimeter of trapezoid ABEF= 16x + 4