What Is 5/6 + (-1 1/6)?

Answer:

(-1, 6)

Step-by-step explanation:

{-c + 2d = 13

{-9c - 4d = -15

-⅑[-9c - 4d = -15]

{-c + 2d = 13

{c + 4⁄9d = 1⅔ >> New equation

______________

2 4⁄9d = 14⅔

______ _____

2 4⁄9 2 4⁄9

d = 6 [Plug this back into both equations to get the c-value of -1]; -1 = c

I am joyous to assist you anytime.

Answer:

(-1,6)

Step-by-step explanation:

We are given that system of linear equations

[tex]-c+2d=13[/tex]

[tex]-9c-4d=-15[/tex]

We have to find the value of ordered pair (c,d).

Equation first multiply by 2 then add to equation second

We  get

[tex]-9c-4d-2c+4d=26-15[/tex]

[tex]-11c=11[/tex]

[tex]c=\frac{11}{-11}=-1[/tex]

Substitute the value of c in equation first then, we get

[tex]-(-1)+2d=13[/tex]

[tex]1+2d=13[/tex]

[tex]2d=13-1=12[/tex]

[tex]d=\frac{12}{2}=6[/tex]

Hence, the ordered pair (-1,6) is the solution of given system of linear equations.

Answer:$27

Step-by-step explanation:

x-27=0

0+27=27

27-27=0

Answer:

1/3

Step-by-step explanation:

-3.3m = -1.1

Divide both sides by -3.3

m = -1.1

-3.3

The solution to the equation -3.3m = -1.1 is m = 1/3 or approximately 0.33. This was determined by dividing both sides of the equation by -3.3.

The problem -3.3m = -1.1 is a simple one-step equation which can be solved by isolating the variable. Here the variable is m. Dividing both sides of the equation by -3.3, we get m = (-1.1/-3.3). This simplifies to m = 1/3 ≈ 0.33. So, the solution to the equation is m = 0.33.

What we did here is an application of the principle that whatever you do to one side of an equation, you should do to the other side as well. This principle is essential in solving mathematical equations.

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Answer:124.35

Step-by-step explanation: if you times 8.25 by 15 you will get the answer of 124.35

In order to get the answer to this question you could rather multiply $8.29 by 15 or you could add 8.29 15 times.

[tex]1b=8.29[/tex]

[tex]15\times8.29=124.35[/tex]

[tex]=124.35[/tex]

Therefore your answer would be the fourth option "$124.35."

Hope this helps.

Answer:584

Step-by-step explanation:

Final answer:

To simplify 2.4 times 10¹³ divided by 8 times 10⁷, subtract exponents to get 2.4 times 10⁶, or adjust the numerator and divide by 8 to find 3 times 10⁵ as the result to perform the calculation mentally.

Explanation:

When dealing with the division of expressions involving powers of ten, using exponent subtraction is often useful to simplify the problem. For the expression 2.4 times 10¹³ divided by 8 times 10⁷, one approach is to directly subtract the lower exponent from the higher one, yielding 2.4 times 10¹³⁻⁷, which simplifies to 2.4 times 10⁶. However, to perform in my head, an alternative way is to adjust the numerator by dividing it by 8, which results in 0.3 times 10¹³. Moving the decimal point in the numerator gives 3 times 10¹², and then dividing by 10⁷ gives a final result of 3 times 10⁵.

The given question is about a right triangle (ΔOPQ) where the value of the tangent of ∠P is being calculated. Using the lengths of the sides, tang P is calculated as 80/39 which is equal to 2.05 to the nearest hundredth.

In ΔOPQ, which is a right triangle with ∠Q being 90°, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, the student wants to find the value of the tangent of ∠P.

The side opposite ∠P is QP and the side adjacent to ∠P is OQ. Given that QP = 80 and OQ = 39, we can calculate tan P as follows:

Therefore, to the nearest hundredth, the value of the tangent of ∠P in ΔOPQ is 2.05.

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To find the value of the tangent of angle P in triangle OPQ, we can use the trigonometric function tangent, which is the ratio of the length of the opposite side to the length of the adjacent side. By substituting the given lengths into the formula, we can calculate the value of tangent to be approximately 0.8989.

In triangle OPQ, we are given that angle Q is a right angle (90 degrees), OQ is 39 units, QP is 80 units, and PO is 89 units. To find the value of the tangent of angle P, we need to use the trigonometric function tangent, which is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Tan(P) = Opposite/Adjacent

In this triangle, the opposite side of angle P is QP and the adjacent side is OP. Therefore, we can substitute the given lengths into the formula:

Tan(P) = 80/89

To find the value of tangent, we can divide 80 by 89 using a calculator or decimal approximation.

Tan(P) ≈ 0.8989 (rounded to the nearest hundredth)

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first off, those two points above do not give that point-slope form, however, the issue is just what's the standard form.

keeping in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]\bf y+1=\cfrac{2}{3}(x-8)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y+1)=3\left( \cfrac{2}{3}(x-8) \right)}\implies 3y+3=2(x-8) \\\\\\ 3y+3=2x-16\implies 3y=2x-19\implies -2x+3y=-19 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 2x-3y=19~\hfill[/tex]

The equation of the line that passes through the points (8,1) and (2,-5) in standard form is 2x - 3y = 13.

To find the equation of the line that passes through the given points we need to understand the slope (rise over run) and the y-intercept. The provided equation, y + 1 = 2/3(x - 8), is in point-slope form (which is y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line). To transform to the standard form, we distribute the 2/3 on the right side, subtract 1 from both sides to move y to the left side.

Following these steps, we get: 2x - 3y = 13, as the equation of the line in the standard form.

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Answer:

4.148

Step-by-step explanation:

Answer:

y = - 5x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5 and c = - 6, thus

y = - 5x - 6 ← equation in slope- intercept form

The slope intercept form is y = -5x-6

Given, y-intercept = (0, -6) & slope of the line = -5

The general form of an equation of line is, y = mx+c

where, m is the slope of the line & c is the y intercept

So, when x = 0 , y = -6

So, the line above passes through the point (0, -6)

Therefore, The slope intercept form is, y = -5x-6

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I do not see the underlined digit, but I will do this for you. The 5 in the thousands place is worth 5000, the 2 in the hundreds place is worth 200, the 9 in the tens place is worth 90, and the 1 in the ones place is worth 1.

Hope this helped!

Nate

Final answer:

In the number 5,291, the digit 5 is in the thousands place (value of 5,000), the digit 2 is in the hundreds place (value of 200), the digit 9 is in the tens place (value of 90), and the digit 1 is in the ones place (value of 1).

Explanation:

The place value of a digit in a number indicates the value of the digit based on its position relative to the other digits. For example, in the number 5,291, the digit 5 is in the thousands place, which means its value is 5,000. Similarly, the digit 2 is in the hundreds place, so its value is 200; the digit 9 is in the tens place, so its value is 90; and the digit 1 is in the ones place, which means its value is simply 1.

Answer:

44

Step-by-step explanation:

3dgenuity said so

Answer:

Step-by-step explanation:9×2=18

18-1=17

Anwser 17

Answer:

(3x – 1)(3x + 1)

Step-by-step explanation:

Answer:it will be -18 gallons

Step-by-step explanation:

Answer:

482 gallons

Step-by-step explanation:

if the total amount in the pool is 500 gallons and it is leaking at -3 gallons per hour then we can solve for how much it has lost in 6 hours by using this equation:

-3(amount loss per hour) x 6(number of hours)= -18

Now we do 500(total)-18(amount lost in 6 hours)= 482 gallons

Which means there are 482 gallons of water left after 6 hours.

Answer:
All you have to do is convert the pounds into ounces by doing 200 x 16! That equals 3,200! So therefore your answer would be “The truck can carry 3,200 ounces of fruits and vegetables or 200 pounds!” AKA E.

Answer:

shade in 7 rectangles, than shade in  70 cubes

Step-by-step explanation:

Step-by-step explanation:

color 7 rectangles then 7 squares

Step-by-step explanation:

whrn you have a proble. you can tell me thank you have a nice day

To solve, find how many groups of 5 are in 145 girls (145 ÷ 5 = 29 groups of girls). Then, find how many boys are in these groups by multiplying the number of groups by the boys' ratio (4), thus 29 x 4 = 116 boys in the 6th grade.

To determine the number of boys in the 6th grade, we will make use of the ratio provided, 4:5. This ratio means that for every 4 boys, there are 5 girls. To translate this into actual numbers, take the total number of girls (145) and calculate how many groups of 5 you have, because that's how many groups of boys you would have also. To determine the number of boys, you multiply the number of groups by 4.

First, Divide 145 by 5 to find out how many groups of girls there are: 145 ÷ 5 = 29. These equate to groups of students based on the ratio. Second, Multiply the number of groups by the boys’ ratio number (4) to find the number of boys. So, 29 x 4 = 116. That's the total number of boys in the 6th grade.

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Answer:

B.5.1 cm

Step-by-step explanation:

Hello, I think I can help you with this

the circumference of a circle is given by:

[tex]s=2*\pi *radius[/tex]

Step 1

Let

s=32 cm

radius=?

isolate the radius from the equation

[tex]s=2*\pi *radius\\\frac{s}{2\pi } =radius\\s=32,so\\radius=\frac{32}{2\pi } \\radius=5.1\ cm[/tex]

5.1 cm ⇔B.

I hope it helps ,Do not hesitate to ask me any questions about it. Have a fantastic day

Answer:

C

Step-by-step explanation:

Consider all options.

A. A reflection across the line x=2 gives us the parallelogram A'B'C'D' (see first attached diagram) with vertices A'(4,0), B'(4,6), C'(0,4) and D'(0,-2). As you can see this is not the same parallelogram as parallelogram ABCD.

B. A reflection across the line y=2 gives us the parallelogram A''B''C''D'' (see first attached diagram) with vertices A''(0,4), B''(0,-2), C''(4,0) and D''(4,6). As you can see this is not the same parallelogram as parallelogram ABCD.

C. A rotation of 180° about the point (2,2) gives us the same parallelogram ABCD (see second attached diagram), because the image of A is C, the image of B is D, the image of C is A and the image of D is B.

D. A rotation of 180° about the point (0,0) gives us the  parallelogram A'''B'''C'''D''' (see second attached diagram) that differs from parallelogram ABCD.

Answer:

c

Step-by-step explanation:

Answer:

45 Miles

Step-by-step explanation:

Speed = Distance / Time

Distance = Speed * Time

= 7.5 * 6 = 45 Miles

Final answer:

To find the distance traveled by the bicycle rider, multiply the average speed of 7.5 mph by the time of travel of 6 hours, resulting in a total distance of 45 miles.

Explanation:

Calculating Distance Traveled

To calculate the distance traveled by the bicycle rider, we use the formula that relates average speed, distance traveled, and time of travel:

Average speed = Distance traveled / Time of travel

In this scenario, the bicycle rider's average speed is given as 7.5 mph, and the time of travel is 6 hours. Therefore, the distance traveled can be calculated by multiplying the average speed by the time of travel:

Distance traveled = Average speed × Time of travel

Distance traveled = 7.5 mph × 6 h = 45 miles

Therefore, the bicycle rider traveled a total of 45 miles.

Answer:

3.55555555556

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

f(x) = 2x2 – 5 and g(x) = -x + 3,

g(4) = -4+3=-1

f(g(4)) = f(-1) = 2(-1)² -5 = -3

The equation to solve how many boxes of candy Mr. Hermans's class needs to sell to reach their goal of $500 is 2.75C = 500. To solve for C (number of boxes), divide 500 by 2.75.

In order to figure out how many boxes of candy Mr. Hermans's class needs to sell, you can create an algebraic equation using your known values. Here you know that for each box of candy sold, the class earns $2.75 (represented in our equation as 2.75C) and that their fundraising goal is $500. This sets up the equation as 2.75C = 500. To solve this equation and find the number of boxes needed (represented by 'C'), you would divide each side of the equation by 2.75, which gives you C = 500 / 2.75.

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[tex]\text{Hello there!}\\\\\text{Combine like terms:}\\\\17m-12n-1+4-13m-12n\\\\4m-12n-1+4-12n\\\\4m-24n-1+4\\\\\boxed{4m-24n+3}[/tex]

Final answer:

The sum of the given polynomials is 4m - 24n + 3.

Explanation:

The sum of the polynomials 17m-12n-1+4-13m-12n can be found by combining like terms. To combine like terms, we group the terms containing the same variable and their coefficients.

Here’s how you can solve this:

After combining like terms, the sum of the polynomials is 4m - 24n + 3.

Answer:

1.5 bananas.

Step-by-step explanation:

1.5 x 2 = 3

Answer:

1.5

Step-by-step explanation:

3 divided by 2 is 1.5

The perimeter of a square is four times the side, since you have to sum all sides, and they're all the same length:

[tex]P=n+n+n+n=4n[/tex]

This is direct variation, because we have

[tex]P=4n \iff \dfrac{P}{n}=4[/tex]

and if the ratio between two variables is constant (in this case, 4), then the two variables are in direct variation.

The perimeter of a square is directly proportional to its side length, therefore it's an example of direct variation.

Yes, the perimeter (P) of a square with side length (n) is an example of direct variation. In this case, P is directly proportional to n. To understand this, think of a square. A square has four equal sides. Thus, its perimeter (P) is n times 4, or P = 4n. If n is increased, the perimeter also increases proportionally, which supports that it's a direct variation relationship. A change in one quantity leads to a proportional change in the other one.

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I believe it is 5:3:1. I'm not completely sure, but that's what I think it is.

The ratio of cups of rice to cups of water in the recipe is 3:5, as there are 3 cups of rice for every 5 cups of water.

To find the ratio of cups of rice to cups of water from the recipe that calls for 5 cups of water and 3 cups of rice, you can simply compare the two quantities directly. The question asked does not require considering additional batches or conversions, so we look at the given amounts.

For every 3 cups of rice, there are 5 cups of water. This can be written as 3:5 or as a fraction \\(\frac{3}{5}\\).

Therefore, the ratio of cups of rice to cups of water is 3:5.

Answer:

y² = x² - z²

Step-by-step explanation:

x² - y² = z²

Transpose y the other side

x² - z² = y²

or

y² = x² - z²

Answer:

y= ± [tex]\sqrt{x^2-z^2}[/tex]

Step-by-step explanation:

Given

x² - y² = z² ( isolate y² by subtracting x² from both sides )

-y² = z² - x² ( multiply through by - 1 )

y² = x² - z² ( take the square root of both sides )

y = ± [tex]\sqrt{x^2-z^2}[/tex]

Answer:

(-10, 6)

Step-by-step explanation:

To find the domain of a function, you just look at where the x starts and the x ends. since there are points at either end you do the points. if it were to go on forever like a line then the domain would be from Infinity to a point or Infinity to Infinity and etc.

Answer:

see explanation

Step-by-step explanation:

Following the order of operations as set out in PEMDAS

Given

45 - 2 × (15 - 3) ← evaluate parenthesis

= 45 - 2 × 12 ← evaluate multiplication

= 45 - 24 ← evaluate subtraction

= 21