Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days. What is the average rate of change per day between the 2nd and 5th day?

Answer:

Step-by-step explanation:

2,314,976*5%= $115,748.80

Answer:

A. The measure of 6 and 3 are supplementary angles since their angle measurements add up to 180.

B.

(8y+12) + (2y+48)=180

10y+60=180

10y=120

y=12

Step-by-step explanation:

The answer to number 1 is 2/9 of her paycheck. The answer to number 2 is 3/5. Its square is 9/25 which is in between 1/3 and 1/2. It's reciprocal is 5/3 which is in between 1 and 2. It is also in simplest form.

Answer:

x=55

Step-by-step explanation:

Ok I'm not sure about the theorem I thought it was just corresponding angles theorem but to get the x value set up an equation with your given info that is equal to 120.

2x+10=120

Subtract 10 from both sides.

2x=110

Divide both sides by 2.

x=55

Answer:

5 m

Step-by-step explanation:

V = l × w × h

480 = 12 × 8 × h

h = 480 ÷ 96 = 5 m

Answer:

5m

Step-by-step explanation:

Well volume is V=Bh. So you do 12 times 8= 96 thats your base. So you need to them do 480 divided by 96 which equals 5 so therefore 5 is your answer. Also just to make sure that's the right answer, do 12 times 8 times 5. That equals 480.

Answer:

US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$

Step-by-step explanation:

that what i've got i hope that's helps you

To yield the quotient, 6 has to get multiply by 3.

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

For the given situation,

The expression is the quotient of 3 divided by 1/6,

⇒ [tex]\frac{3}{\frac{1}{6} }[/tex]

⇒ [tex](3)(6)[/tex]

Thus multiply 3 by 6 yields the quotient.

Hence we can conclude that to yield the quotient, 6 has to get multiply by 3.

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Answer:

37 years old.

Step-by-step explanation:

2 years ago

Singh-  7s

Son- s

3 years in the future(so 5 years forward)

Singh- 7s+5

Son- s+5

7s+5 = 4(s+5)

7s+5 = 4s+20

3s = 15

s=5

2 years ago the son was 5 so Mr. Singh was 35

Now Mr. Singh is 37

Answer:

Step-by-step explanation:

Since Z is midpoint of SR and Y is midpoint of QR, so as per triangle midpoint theorem ZY is parallel to SQ and measures half of its value:

Correct answer choice is B

Answer:

the answer is B.12 ......

I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.

Therefore, I am solving the question assuming that you want to say:

''What is the best estimate of 11 1/5 divided by 2 3/4''.

Answer:

The best estimate of  11 1/5 divided by 2 3/4 will be: 4

Step-by-step explanation:

Given the information

11 1/5 divided by 2 3/4

solving the expression

[tex]11\frac{1}{5}\div 2\frac{3}{4}[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

so

so the expression becomes

[tex]11\frac{1}{5}\div 2\frac{3}{4}\:=\frac{56}{5}\div \:\frac{11}{4}[/tex]

                [tex]=\frac{56}{5}\times \frac{4}{11}[/tex]

                [tex]=\frac{56\times \:4}{5\times \:11}[/tex]

               [tex]=\frac{224}{5\times \:11}[/tex]

               [tex]=\frac{224}{55}[/tex]

                [tex]=4.07[/tex]

                [tex]= 4[/tex]       (Rounded to the nearest 1 or the Ones Place)

Therefore, the best estimate of  11 1/5 divided by 2 3/4 will be: 4

Answer:

of what? ohhh ok

Step-by-step explanation:

yeah

Answer:

s = 2t₁ + t₂

3 possible combinations:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

t₁ = 2 min , t₂ = 4 min

Step-by-step explanation:

The distance covered by a body in uniform motion is given by the following equation:

s = vt

where,

s = distance

v = speed

t = time

For running:

s = s₁

t = t₁

v = 2 miles/min

Therefore,

s₁ = 2t₁

For walking:

s = s₂

t = t₂

v = 1 miles/min

Therefore,

s₂ = t₂

And the total distance will be:

s = s₁ + s₂

s = 2t₁ + t₂

where,

s = total distance covered in miles

t₁ = running time in min

t₂ = walking time in min

Now, the total distance is given as 8 miles:

8 = 2t₁ + t₂

So, the 3 possible combinations of time to satisfy this equation can be:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

t₁ = 2 min , t₂ = 4 min

Answer:

c

Step-by-step explanation:

Answer:

A) is not correct

Step-by-step explanation:

All rations numbers are not integers.

Integers = { ........ -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 ....................}

1/2 is a rational number but it is not an integer

Answer:

c

Step-by-step explanation:

hope this helps:)

Two lines are parallel if the have the same slope. To find the slope of the line parallel to the line y=4/7x-2 we need to get the line into slope-intercept form (y = mx + b), but the line is already in that form, so the slope is m = 4/7.

Because two lines are parallel if the have the same slope, we concluded that the slope of the parallel to y=4/7x-2 is m = 4/7.

Answer:

$0.32/ $0.31

Step-by-step explanation:

unit prices are determined by dividing the price by the number of units, OZ in this case. $4.50÷14oz= $0.32

3.75÷12oz= $0.31

Answer:

X= 120 Y=80

Step-by-step explanation:

Small mistake look at picture

Answer:

18

Step-by-step explanation:

Answer:

18 because it's asking for the tw

Answer:

r = 25

Step-by-step explanation:

r/5 = 5

5 x r/5 = 5 x 5

r = 25

Answer:

r=25

Step-by-step explanation:

r/5-6+6= -1+6

r/5=5

r/5×5=5×5

r=25

Answer:

14

Step-by-step explanation:

Frist find the square root of 49=7.

Next add 7+7=14.

Finally there is your answer 14.

Answer:Perimeter=28

Area=a^2

49=a^2

√49=√a^2

√49=a

a=7

Perimeter=4a

4(7)=28

I hope this is good enough:

The answers are :

a) The value of c or y - intercept is $60.

b) The domain is all real numbers.

c) The range will be equal to {y | y ≥ 60}.

What is the function ?

A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.

It is given that :

Yearly cost in dollars = y

Number of game tokens purchased for a member of the arcade = x

We know that :

The function is represented by equation :

y = [tex]\frac{x}{10}[/tex] + 60

Comparing it with the general equation we get :

Slope (m) = [tex]\frac{1}{10}[/tex]

and y - intercept (c) = $60

Now , when x = 0 then :

y = [tex]\frac{1}{10}[/tex] × 0 + 60

y = 0 + 60

y = $ 60

The domain is x ≥ 0. The domain will be all real numbers.

and y ≥ 60

The range will be :

{y | y ≥ 60}

Therefore , the answers are :

a) The value of c or y - intercept is $60.

b) The domain is all real numbers.

c) The range will be equal to {y | y ≥ 60}.

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The answers are

-The y-intercept of the function is $60

-The function can be represented by the equation y=1/10x+60

and

-The range is {y| y>60}.

Answer:

Hi

Step-by-step explanation:

Answer: 8.49

Step-by-step explanation:

i took the test and it was right

Answer:

Kerry's ball stays longer in the air than Marias ball by an extra 0.582 seconds

Step-by-step explanation:

The equation that models the height, h, in feet of object thrown modeled as a time function is given as follows;

h(t) = -16t² + v₀·t + h₀

Where;

v₀ = The velocity upwards (vertical velocity)

h₀ = The initial height of the object in feet

The given parameters are;

The initial height from which Maria throws a ball = 6 feet

The initial vertical velocity with which Maria throws the ball = 40 feet per second

The initial height from which Kerry throws a ball = 5 feet

The initial vertical velocity with which Kerry throws the ball = 50 feet per second

For Maria, from the equation for the height of the object, we have;

h(t) = -16t² + v₀·t + h₀

Where for Maria, we have;

h₀ = 6 feet

v₀ = 40 ft/s

Substituting gives;

h(t) = -16 × t² + 40 × t + 6 = -16·t² + 40·t + 6

h(t) = -16·t² + 40·t + 6

The time it takes for the ball to go up and come back down again is given by the value of t, when h = 0 (ground level) as follows;

0 = -16·t² + 40·t + 6

16·t² - 40·t - 6  = 0

From the quadratic formula, we have

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]t = \dfrac{40\pm \sqrt{(-40)^{2}-4\times 16 \times (-6)}}{2\times 16} = \dfrac{40 \pm 8 \times \sqrt{31} }{32} = \dfrac{5}{4} \pm \dfrac{\sqrt{31} }{4}[/tex]

t ≈ 2.64 s or -0.14 s

Therefore, the time the ball spends in the air ≈ 2.64 s

For Kerry,  we have;

h₀ = 5 feet

v₀ = 50 ft/s

Substituting gives;

h(t) = -16 × t² + 50 × t + 5 = -16·t² + 50·t + 5

h(t) = -16·t² + 50·t + 5

Which gives;

16·t² - 50·t - 5  = 0

From the quadratic formula, we have

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]t = \dfrac{50\pm \sqrt{(-50)^{2}-4\times 16 \times (-5)}}{2\times 16} = \dfrac{50 \pm 2 \times \sqrt{705} }{32} = \dfrac{25}{16} \pm \dfrac{\sqrt{705} }{16}[/tex]

t ≈ 3.222 s or -0.097 s

he time the ball spends in the air ≈ 3.222 s

Therefore, Kerry's ball that spends approximately 3.222 seconds stays longer in the air than Maria's ball that spends approximately 2.64 seconds in the air.

The difference in the two time duration is 3.222 - 2.64 = 0.582

Kerry's ball stays longer in the air than Marias ball by an extra 0.582 seconds.

Answer:

$227.50

Step-by-step explanation:

45.50*5=227.50

Answer:

45.50 times 5=227.5

Step-by-step explanation:

y=a(x - h)^2+k

standard form: y= - 1/2x^2+4x-5

vertex form: y= -1/2(x - 4)^2+3

slope m and y-intercept b

slope: -2

y-intercept:(0,11)

so the answer is A. your welcome

Answer:

You would need to divide "14/32" by 2, since 2 in this problem is your "gcf" so:

14 / 2 = 7

32 / 2 = 16

So, it's 7/16.

Answer:

[tex]\frac{14}{32}[/tex] in its simplest form would be  [tex]\frac{7}{16}[/tex]

Step-by-step explanation:

[tex]\mathrm{Find\:a\:common\:factor\:of\:}14\mathrm{\:and\:}32\mathrm{\:in\:order\:to\:cancel\:it\:out}\:[/tex] [tex]: 2[/tex]

[tex]\mathrm{Factor\:out\:}2\mathrm{\:from\:the\:numerator\:and\:the\:denominator}\\14=2\cdot \:7\mathrm{,\:\quad }32=2\cdot \:16\\=\frac{2\cdot \:7}{2\cdot \:16}\\[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{7}{16}\\\\[/tex]

hope this helps :)