there are 78 tourists going on a sightseeing trip.the tour company's buses hold 12 people each how many buses will they need?

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:

If we rant their axis of symmetry from least to greatest, it would be:

f(x),h(x), g(x)

Step-by-step explanation:

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror like reflection of either side of the object.

We can find axis of symmetry with the help of formula:

x = -b/2a

We know that the quadratic equation is written like:

ax^2+bx+c

where a,b are coefficients: c is constant term and x is variable

Now look at the function f(x)= 3x^2

For this function we have a= 3, b =0 , c=0

Put the values in the above mentioned formula:

x = -b/2a

x = - (0)/2(3)

x = 0/6 = 0

Thus the axis of symmetry for f(x) = 0

Now  g(x) = x2 - 4x + 5

a = 1 , b = -4 , c =5

x = -b/2a

x = -(-4)/2(1)

x = 4/2

x = 2

Axis of symmetry for g(x) = 2

h(x) = -2x2 + 4x + 1

a = -2 , b =4 , c=1

x = -b/2a

x = -(4)/2 (-2)

x = -4 /-4

x = 1

Axis of symmetry for h(x) = 1

So if we rant their axis of symmetry from least to greatest, it would be:

f(x),h(x), g(x)

Answer:

Step-by-step explanation:9×2=18

18-1=17

Anwser 17

Answer:

(3x – 1)(3x + 1)

Step-by-step explanation:

Answer:

4.148

Step-by-step explanation:

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.

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:$27

Step-by-step explanation:

x-27=0

0+27=27

27-27=0

Answer:

yes

Step-by-step explanation:

To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line

- 3 + (4 × 4) = - 3 + 16 = 13 = right side

Hence (- 3, 4) lies on the line x + 4y = 13

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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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

[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:

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:

Hey!

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

Solution:

1 gram = 0.001 kilogram's

300 * 0.001 = 0.3

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

Answer:

300 grams = 0.3 kilograms

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

Hope This Helped! Good Luck!

In order to get the answer to this question you will have to know that 1 gram equals 0.01 kilograms.

[tex]1=0.01[/tex]

[tex]100=0.1[/tex]

[tex]300=0.3[/tex]

[tex]=0.3[/tex]

Therefore your answer is "0.3 kilograms."

Hope this helps

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:

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

Learn more about equation of line here :

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Factors of 31: 1, 31

Factors of 32: 1, 2, 4, 8, 16, 32

Which number is found in both lists?

GCF(31, 32) = 1

Answer: 1

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: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:

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:
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

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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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.

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

Final answer:

The correct calculation for the total cost to seed an area of 80 feet by 40 feet is $45.00, substantially less than the incorrect $1067 identified due to proper area conversion and cost calculation.

Explanation:

The question about the cost of seeding an area of 80 feet by 40 feet involves calculations for area conversion, determining the number of seeds needed, and calculating the total cost. The initial step involves calculating the area in square feet (80 x 40 = 3200 sq ft) and then converting this area into square yards by dividing by 9 (since there are 9 sq ft in a sq yd), which equals approximately 355.56 sq yds. The bags of grass seed required is then determined by the coverage rate of 1 bag per 25 square yards, yielding about 14.22 bags. However, since you cannot purchase a fraction of a bag, you would need to buy 15 bags of seeds. At a cost of $3.00 per bag, the total cost is $45.00, contrasting significantly with the incorrect calculation provided in the question.

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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Answer:

44

Step-by-step explanation:

3dgenuity said so