On Saturday, the fruit and juice bar was selling 27 glasses of fruit punch an hour. By 7 p.m., they had sold 243 glasses. If their goal was to sell more than 324 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.

Answer:

answer is option C

3+7=10

7-3=4

C.

Step-by-step explanation:

x + y = 10

x - y = 4

x = 4 + y

Okay, so now we substitute our third equation into equation 1. Then equation one becomes..

4 + y + y = 10

4 + 2y = 10 ┌(・。・)┘♪

Mk now we subtract 4 from both sides ofc.

2y = 10 - 4

2y = 6

Now divide by 2

y = 3

And now the last one-

substituting y = 3 into equation 3 to find the value of x!

(. ❛ ᴗ ❛.)

x = 4 + y, x = 4 + 3, x = 7

So, that's how I got this answer! (◕ᴗ◕✿)

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

Answer:

20

Step-by-step explanation:

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

the first one

Step-by-step explanation:

Answer:

do pi times diameter divided 8 and you'll get your answer :)

Step-by-step explanation:

so do 3.14 times 26.4 divided 8

Answer:

the answer is 14m

Step-by-step explanation:

sorry Kung Hindi Tama aNg sagot.piro Sana makatolong

Answer:

$2.498

Step-by-step explanation:

Answer:

71701,71702, 71703 etc

Step-by-step explanation:

Given :

[tex]7.17[/tex]×[tex]10^{4}[/tex] and 8.17×[tex]10^{5}[/tex]

Now

[tex]7.17[/tex]×[tex]10^{4}[/tex]=71700 and

8.17×[tex]10^{5}[/tex]=817000

There are so many numbers between 71700 and 817000

Like: 71701,71702, 71703 etc

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Answer:

0

Step-by-step explanation:

When a number is not included or used, it can be considered 0.

This makes sense, because if it had a actualy value, it would effect the polynomial, and change the answer.

The only time it would  not effect the polynomial is when it 0.

Hope this makes sense :D

Answer:

S∪B = {a,b,e,a,d,f,g}

Step-by-step explanation:

According to the Question,

Given, S and T are subsets of a universal set U ( U = {a, b, c, d, e, f, g, h, i} )

And, S = {a, b, e} , T = {a, d, f, g}

Thus, S∪B(S union B) = n(S) + n(T)

S∪B =  {a,b,e,d,f,g}     (There It contains all the elements present in S & B).

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

Answer:

25/99 and the ones you selected

Step-by-step explanation:

Irrational numbers are decimals that do not repeat. 25/99 does not repeat but goes on forever. Same with the other choices like square root of 17 and 18, as well as 0.48...

Hope this helps!

:)

Answer: sqrt(2)/2  which is choice D

======================================================

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

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

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

Answer:

C = 6 pi ft

Step-by-step explanation:

Circumference is given by

C = 2*pi*r

C = 2 * pi *3

C = 6 pi ft

Answer:

what are you talking about dude.

Answer:

C).

Step-by-step explanation:

One of the points on the graph that the path of bike b crosses is (6,60).

When you divide this to find the unit rate you get 10/1 therefore the equation of bike b= y+10X

Answer:

1. Ethan

2. 2.5 tons

3. 72 in

4. 5.7 mi

Step-by-step explanation:

1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.

2. Divide pounds by 2000 to get tons

3. Multiply by 12

4. Divide by 5280 to turn feet into miles

Answer:

2x +3y= 5xy

-1(2x+y= 2xy+-1 = -3xy

Answer:

y= 9

x = -2

Step-by-step explanation:

Y= 9, X = -2 I use the simultaneous equation to solve it.

Respuesta:

200 mangos

Explicación paso a paso:

Dado :

Sea el número inicial de mangos = x

Primera venta:

3 / 5x + 2

Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2

Segunda venta:

1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2

Cantidad restante:

2 / 5x - 2 - (2 / 15x - 2/3 +2)

2 / 5x - 2 - 2 / 15x + 2/3 - 2

0,2666666x - 3,3333

Tercera venta:

1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1

0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final

0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24

0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24

0,133333x - 2,666635 = 24

0.133333x = 24 + 2.666635

0,133333x = 26,666635

x = 26,666635 / 0,133333

x = 200.00026

x = 200 mangos

Answer:

A)4

Step-by-step explanation:

degree measure of the 4 angles of a trapezoid is 360

so

since we have only 2 angles, 360/2

180=125+(14x-1)

180-125=125+(14x-1)-125

55=14x-1

55+1=14x-1+1

56=14x

4=x or x=4

hope this helps!

Answer:

x = 4

Step-by-step explanation:

The interior angles of a parallelogram always add up to 360 degrees.

We already know that one of the angles is 125 degrees, so we can subtract 125 from 360, leaving us with 235.

The angle right across from the 125 angle is congruent to it and so now we can subtract another 125 from 235, leaving us with 110 degrees.

There are 2 angles left, they are both the same measurement, so we can divide 110 by 2, leaving us with 55.

This means that 14x - 1 = 55

Time to find x

First, we are going to add 1 to both sides in order to cancel it out.

14x - 1 + 1 = 55 + 1

14x = 56

Now, we are going to divide both sides by 14 in order to cancel it out.

14/14 x = 56/14

x = 4

Hope this helps!

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2

Answer:

it cant cause its simplified as much as it can be

Step-by-step explanation:

iknow

Answer:

I am almost 100% sure the answer is D.

Step-by-step explanation:

Deductive reasoning is the process of reasoning logically from given statements to make a conclusion. Deductive reasoning is the type of reasoning used when making a Geometric proof, when attorneys present a case, or any time you try and convince someone using facts and arguments.

Answer:

There are 680 buttons altogether

Step-by-step explanation:

Here, we want to get the total number of buttons

From the question, the ratio of number of red to white buttons is 4:7

mathematically, this mean;

r:w = 4:7 = ?/280

thus;

4/7 = ?/280

7 * ? = 280 * 4

? = (280 * 4)/7

? = 40 * 4 = 160

From here, we can see that the number of white buttons is 160

from the second part of the question,

b:r = 3:2 = ?:160

3/2 = ?/160

2 * ? = 160 * 3

? = 480/2

? = 240

Thus, we have the sum total of the number of buttons as;

240 + 280 + 160 = 680