During a catered lunch =, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]

Answer:

Quadrilateral

Step-by-step explanation:

Answer:

I believe the answer is A. 130

Answer:

A 130

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To write an equation of a line using a point and slope use the formula

where

m is the slope

(x1 , y1) is the point

So we have

Equation of the line using point (4 , -3) and slope 5/4 is

[tex]y + 3 = \frac{5}{4} (x - 4)[/tex]

Multiply through by 4

4y + 12 = 5(x - 4)

4y + 12 = 5x - 20

5x - 4y = 20 + 12

The final answer is

Hope this helps you

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

Answer:

59

Step-by-step explanation:

177/3=59

Answer:

A

C

D

Step-by-step explanation:

√54 or√9 *√6 or √27 *√4

are equal to the answer.

You can do that by doing the square of outer number which is 3 which equals to 9 when squared and multiplying that with the number inside the square root.

Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

Answer:

I came up with the answer check my questions to see it

Step-by-step explanation:

Answer:

discriminant is b²-4ac

= 2²-4(-8)(0)

= 0

one solution

hope this helps :)

Answer:

First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Step-by-step explanation:

"2 pounds of meat with some chopped vegetables"

2 + v

"She divides the mixture into 4 equal portions."

(1/4)(2 + v)

"Each portion weighs 3 pounds."

(1/4)(2 + v) = 3

2 + v = 12

v = 10

Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Answer:

(2+v)=3   v=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.

Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;

[tex]x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\[/tex]

[tex]y = -\frac{1}{3}(x) +\frac{10}{3} \\[/tex]

Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3

The slope of the line is -1/3.

the correct option is D.

To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.

Let's rearrange the equation to solve for y:

x + 3y = 10

3y = -x + 10

y = (-1/3)x + 10/3

Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.

Therefore, the slope of the line is -1/3.

Learn more about Slope here:

https://brainly.com/question/17158875

#SPJ6

Greetings from Brasil...

Here is the problem:

[(15X - 8)/3] + [(9X - 3)/2]

Let's multiply everything by 6

[6.(15X - 8)/3] + [6.(9X - 3)/2]

[2.(15X - 8)] + [3.(9X - 3)]

30X - 16 + 27X - 9

Answer:

1) Distribute 1.2 to 6.3 and -7x

2)Combine 3.5 and 7.56

3)Subtract 11.06 from both sides

Step-by-step explanation:

3.5 + 1.2(6.3 - 7x) = 9.38

Distribute 1.2 to 6.3 and -7x

3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38

        3.5 + 7.56 - 8.4x = 9.38

Combine 3.5 and 7.56

11.06 - 8.4x = 9.38

Subtract 11.06 from both sides

11.06 - 8.4x -11.06 = 9.38 - 11.06

                    -8.4x = -1.68

To find solution:

Divide both sides by (-8.4)

-8.4x/-8.4 = -1.68/-8.4

 x = 0.02

Answer:

B, D, and E

its right cus i took the test soo..

Answer:

[tex]\large \boxed{{x=-3}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Answer:

x =  2 units

Step-by-step explanation:

Diagonals of rectangle are congruent and bisect each other

Therefore, OB = OA

   5x + 4 =  3x + 8

    5x = 3x + 8 -4

    5x = 3x + 4

5x - 3x = 4

      2x =  4

      x = 4/2

      x =2

Answer:

Rectangle

Explanation:

Rectangles can be oblong, and square is also a rectangle.

Answer:

Step-by-step explanation:

area of base=6×6=36 m²

surface area of four walls=4×6×12=144 m²

area of top= area of four triangles=4×1/2×6×5=60 m²

total surface area=36+144+60=240 m²

Answer:

Interior angles are inside. Exterior angles are outside.

Step-by-step explanation:

"Interior" means inside. "Exterior" means outside.

Answer:

inside, outside

Step-by-step explanation:

Answer:

Required force (F) = 500 N

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²

Find:

Required force (F)

Computation:

Required force (F) = Mass × Acceleration

Required force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

Answer:

Answer:

Required force (F) = 500 N

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²

Find:

Required force (F)

Computation:

Required force (F) = Mass × Acceleration

Required force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

THANKS

1

3.0

(2 votes)

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

Answer:

Correct answer is:

a. (-9,17)

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of [tex]y =f(x)[/tex].

Putting the values from the given point:

[tex]6 =f(6)[/tex]

That means we are given that [tex]f(6) =6[/tex] ..... (1)

And we have to find the corresponding coordinates of this point on the graph of [tex]y = 4f[\frac{1}3x +9] -7[/tex]

From equation (1), we know the value of [tex]f(6)[/tex].

so, let us convert [tex]f[\frac{1}3x +9][/tex] to a form such that it becomes equal to [tex]f(6)[/tex]

[tex]\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9[/tex]

So, let us put [tex]x = -9[/tex] in the given function:

[tex]4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7[/tex]

Now, using equation (1), putting [tex]f(6)=6[/tex]

[tex]\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17[/tex]

Therefore, the point the corresponding point is:

a. (-9,17)

Answer:

x = -4 + 3 i or x = -4 - 3 i

Step-by-step explanation:

Solve for x:

(x + 4)/(x + 5) = (x - 5)/(2 x)

Hint: | Multiply both sides by a polynomial to clear fractions.

Cross multiply:

2 x (x + 4) = (x - 5) (x + 5)

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

2 x^2 + 8 x = (x - 5) (x + 5)

Hint: | Write the quadratic polynomial on the right hand side in standard form.

Expand out terms of the right hand side:

2 x^2 + 8 x = x^2 - 25

Hint: | Move everything to the left hand side.

Subtract x^2 - 25 from both sides:

x^2 + 8 x + 25 = 0

Hint: | Using the quadratic formula, solve for x.

x = (-8 ± sqrt(8^2 - 4×25))/2 = (-8 ± sqrt(64 - 100))/2 = (-8 ± sqrt(-36))/2:

x = (-8 + sqrt(-36))/2 or x = (-8 - sqrt(-36))/2

Hint: | Express sqrt(-36) in terms of i.

sqrt(-36) = sqrt(-1) sqrt(36) = i sqrt(36):

x = (-8 + i sqrt(36))/2 or x = (-8 - i sqrt(36))/2

Hint: | Simplify radicals.

sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:

x = (-8 + i×6)/2 or x = (-8 - i×6)/2

Hint: | Factor the greatest common divisor (gcd) of -8, 6 i and 2 from -8 + 6 i.

Factor 2 from -8 + 6 i giving -8 + 6 i:

x = 1/2-8 + 6 i or x = (-8 - 6 i)/2

Hint: | Cancel common terms in the numerator and denominator.

(-8 + 6 i)/2 = -4 + 3 i:

x = -4 + 3 i or x = (-8 - 6 i)/2

Hint: | Factor the greatest common divisor (gcd) of -8, -6 i and 2 from -8 - 6 i.

Factor 2 from -8 - 6 i giving -8 - 6 i:

x = -4 + 3 i or x = 1/2-8 - 6 i

Hint: | Cancel common terms in the numerator and denominator.

(-8 - 6 i)/2 = -4 - 3 i:

Answer: x = -4 + 3 i or x = -4 - 3 i

Answer: 2A/b = h

Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.

Don't be thrown off by the capital A in this problem.

Just treat it like any other variable.

To get h by itself on the right side of the equation, we now simply

divide both sides of the equation by b and our answer is 2A/b = h.

Take a look back at the formula now in the

original problem, A = 1/2bh, does that look familiar?

Answer:

Rs.92.95

Step-by-step explanation:

Given the following :

Metres of cloth purchased = 24.5m

Metres of ribbon = 13.5m

Cost of cloth per metre = Rs.85.40

Cost of Ribbon per metre = Rs.8.50

Total amount given to shopkeeper = Rs. 2300

how much money will he get back?

Total cost of cloth:

Cost per metre * number of metres

85.40 * 24.5 = Rs. 2092.30

Total cost of Ribbon :

Cost per metre * number of metres

8.50 * 13.5 = Rs. 114.75

Total cost of goods purchased :

Rs. (2092.30 + 114.75) = Rs. 2,207.05

Amount of change :

Rs. (2300 - 2207.05) = Rs.92.95

Answer:

a + b = 90°

Step-by-step explanation:

If sum of two angles are 90°, then the two angles are complementary

Angles that are complements form corners. I've bolded the "co" letters to help remember that complementary angles form a 90 degree corner. Whereas supplementary angles form a straight line (both "supplementary" and "straight" start with "S"). So that's one way to remember the two terms.

Anyways, if a and b are complements of each other, then a+b = 90.

Answer:

ac is 200% of cd

Step-by-step explanation:

To answer this question, we shall be making a visual representation.

Let’s take it one at a time.

Given;

b is the midpoint of ac

a b c

What this means is that a-b represents 50%, while bc represents another 50%

okay, we move on:

c is the midpoint of bd

b c d

What this means is that bc is 50%, while cd is another 50%.

So let’s combine the representations;

a 50% b 50% c 50% d

Now what does the question says again?

What percent of cd is ac?

From a to c, we can see two 50% which means 100%

while cd is just the regular 50%

So we can see that ac is actually twice cd

What we are saying here is , if cd is x, then ac is 2x

So we can restructure our question to mean, what percent of x is 2x?

That is simply 2x/x * 100 and that is 200%

Answer: ac is 200% of cd

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(x+7) * 7 = ( 13+8) *8

(x+7) * 7 = ( 21) *8

Divide each side by 7

x+7 = 21/7 *8

x+7 = 3*8

x+7 = 24

Subtract 7

x = 17

Answer:

The answer is x = 17

Though I think the other guy explained it better

Answer:

The pendulum would accelerate to the left.

Step-by-step explanation:

Because the force pushing it left is greater than the force pushing it right, it would go to the left.

Answer:

[tex]\huge\boxed{v=5}[/tex]

Step-by-step explanation:

[tex]-37-2v=-6(2v-3)-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\-37-2v=(-6)(2v)+(-6)(-3)-5\\\\-37-2v=-12v+18-5\\\\-37-2v=-12v+(18-5)\\\\-37-2v=-12v+13\qquad\text{add 37 to both sides}\\\\-37+37-2v=-12v+13+37\\\\-2v=-12v+50\qquad\text{add}\ 12v\ \text{to both sides}\\\\-2v+12v=50\\\\(-2+12)v=50\\\\10v=50\qquad\text{divide both sides by 10}\\\\\dfrac{10v}{10}=\dfrac{50}{10}\\\\v=5[/tex]

Answer:

v = 5

Step-by-step explanation:

-37 -2v = -6 (2v - 3) - 5

-2v - 37 = -6 (6*2v - 6*3) - 5

-2v - 37 = - (12v - 18) - 5    combine like terms

-37 - 18 + 5 =  -12v + 2v

-50 = -10v

v = -50 / -10

v = 5

​

a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.

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b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.

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c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.

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d. Reflectional symmetry and rotational symmetry.  Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.

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e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.

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f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.

See the attached picture.