Janice is preparing a recipe that calls for 3/4 of a cup of oil per serving. If Janice needs to prepare 2 and 2/3 servings, how many cups of oil will she need?

Answer:

18

Step-by-step explanation:

Answer:

18 because it's asking for the tw

Answer:

8 and 4 = 8

8 and 10 = 40

Step-by-step explanation:

The least common multiple is the smallest value that both numbers equal when you look at their multiples.

The multiples of 8 are 8, 16, 24, 32, 40...

The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32...

The multiples of 10 are 10, 20, 30, 40...

The first multiple 8 and 4 have in common is 8.

The first multiple 8 and 10 have in common is 40.

Answer:

f(x) = x

Step-by-step explanation:

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 :)

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.

1. 9.48

2. 11.1

3. 5.65

4. 26.45 or 26.4

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:

(a, 0) and (b, 0)

General Formulas and Concepts:

Alg I

Step-by-step explanation:

We are looking for the zeros of f(x). The blue quadratic is the graph of f(x). Zeros mean the coordinates when the graph crosses the x-axis. Therefore, our correct answer is the last choice.

Answer:

I believe they are 5 and 7

Step-by-step explanation:

Answer:

5 and 7

Step-by-step explanation:

those numbers are used with the variable 5x and 7x

Answer:

B and E

Step-by-step explanation:

got it right on quiz in Edge 2020 :)

have a good day!!!

Answer:

b and e

Step-by-step explanation:

Answer:

X= 120 Y=80

Step-by-step explanation:

Small mistake look at picture

Answer:

Hi

Step-by-step explanation:

Answer:

of what? ohhh ok

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

We are given

[tex]x^2 - 10x + 4 = 12\\[/tex]

get it all to one side equaling zero

[tex]x^2 - 10x - 8 = 0[/tex]

now, we want to find the factors of 8 that either add up to of have a difference of 10

Factors of 8:

[tex]1, 8, 2, 4[/tex]

None of the factor pairs add up to or have a difference of 10.

So, we can use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x = \frac{10\pm\sqrt{100-4*8} }{2}\\x = \frac{10\pm\sqrt{132} }{2}\\\\\\x = \frac{10 + \sqrt{132} }{2}= 10.74456265\\x = \frac{10 - \sqrt{132} }{2} = -0.7445626465[/tex]

Answer:

$227.50

Step-by-step explanation:

45.50*5=227.50

Answer:

45.50 times 5=227.5

Step-by-step explanation:

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}.

Learn more about functions here :

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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:

c

Step-by-step explanation:

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

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:

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:

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

I tried my best and I think this is right?

Answer:

A)

Step-by-step explanation:

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.

Learn more about simplification of an expression here

https://brainly.com/question/13730519

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Answer:

Its 28

Step-by-step explanation:

Answer:

the answer is 28 feet.

Step-by-step explanation:

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:

Answer:

The annual rate of interest is 2 %  

Step-by-step explanation:

Given as :

The investment amount = $ 3,500

The Interest earn on investment = $ 210

The time period = 3  years

Let The annual interest rate = R

From simple interest method :

Simple Interest =  

Or, 210 × 100 = 3500 × R × 3

Or, R =

Or, R =  = 2

Hence The annual rate of interest is 2 %   Answer

hope this helped :)