In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.

The middle 99.7% is within 60 seconds to 63 seconds.

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

mean (μ) = 60 seconds, standard deviation (σ) = 1 second

99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)

The middle 99.7% is within 60 seconds to 63 seconds.

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Answer:

$4851

Step-by-step explanation:

rectangular prism volume = length x width x height

1 litre = 1000 cm³

cost = $per litre x litres

v = l x w x h

30cm x 25cm x 42cm = 31500cm³

litres = cm³ / 1000

31500cm³ / 1000 = 31.5 litres

31.5 x $154 = $4851

Answer:

132

Step-by-step explanation:

corresponding angles are the same

Answer:

1/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (0- -3)/(5- -4)

m = 3/9 = 1/3

[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]

The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let L represent the amount Layla owes her friend after t weeks.

Using the point from the graph (0, 140) and (7, 0):

L - 140 = [(0 - 140)/(7 - 0)](t - 0)

L - 140 = -20t

L = -20t + 140

The y intercept is 140

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#SPJ1

Answer:

8

Step-by-step explanation:

we conformed the 8s by 4 and 3

Answer:

Calvin's number: 16 Sanjay's number: 6

Step-by-step explanation:

6 x 3 = 18, 18 - 2 = 16

16 / 2 = 8, 8 - 2 = 6

Answer:

slope = change over y/change over x

point 1: (-3,-4)

point 2: (2,3)

(-4-3)/(-3-2)=(-7)/(-5)=7/5

y=mx+b -> m=slope, b=y-intercept

y=(7/5)x+b

plug in one of the points

3=(7/5)*2+b

3=14/5+b

b=1/5

slope = 7/5, y-intercept = (0,1/5)

Answer:

true

Step-by-step explanation:

Immediately, by definition of cotangent, we find

tan(α) = 1/cot(α) = 1/(-√3)

⇒   tan(α) = -√3

Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.

Recall the Pythagorean identity,

cos²(α) + sin²(α) = 1

Multiplying both sides by 1/sin²(α) recovers another form of the identity,

cot²(α) + 1 = csc²(α)

Solving for csc(α) above yields

csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4

⇒   csc(α) = 2

⇒   sin(α) = 1/2

Solve for cos(α) using the first form of the Pythagorean identity:

cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)

⇒   cos(α) = -√3/2

⇒   sec(α) = -2/√3

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

Answer:1.833333

Step-by-step explanation:

Answer:

5x=-(5/2) ~~ first choice

Step-by-step explanation:

divide both sides by 5

-> x=(5/2)/5

simplify the above

-> x = - (5/2x5)

simplify

-> x = -(5/10)

simplify and solve

=> x = - 1/2

(basically trial and error)

Answer:

22

Step-by-step explanation:

9 + 8 + 14 = 22

I hope this helps!

Work Shown:

time = distance/speed

time = (1.5 miles)/(3 mph)

time = (1.5/3) hours

time = 0.5 hours

time = 30 minutes

It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.

Answer:

5.691

Step-by-step explanation:

v10=3.162   and v13=3.605  

so 3.162x3.605= 11.383

the 11.383 divided by 2 = 5.691

Answer:

4

Step-by-step explanation:

Use system of equations to solve for x.

Answer:

Add 2/3

Step-by-step explanation:

2/3 + 2/3 = 4/3 + 2/3 = 6/3 (or 2) + 2/3 = 8/3 +2/3 = 10/3

Answer:

8 dollars and 67 cents...8.67

Step-by-step explanation:

5 dollar bill

3 one dollar bills

2 quarters

1 dime

1 nickel

2 pennies

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

Answer:

[tex]\huge\boxed{\sf -4}[/tex]

Step-by-step explanation:

The given polynomial is:

4y - 13 - 5z - 4x

Coefficient:

The term/number (along with the sign) with that certain variable is called coefficient.

x has the coefficient of :

-4 (number along with x)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The best answer would be A. because 6 divided by 5 is 1.20. Pls give me brainliest because i am trying to rank up.

Step-by-step explanation:

The balloon’s vertical distance above the ground is 556 feet

The set up will form a right triangle.

Given the following parameters

To get the height above the ground, we will use the SOH CAH TOA identity as shown;

Opposite = h

Adjacent = 1004 feet

Tan theta = h/1004

Tan 29 = h/1004

h = 1004 tan 29

h = 1004(0.5543)

h = 556.52 feet

Hence the balloon’s vertical distance above the ground is 556 feet

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Answer: 25

Step-by-step explanation:

Subtract 46.50 - 46.25 and you’ll get 25

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

Answer:

B

Step-by-step explanation:

Answer:

it is -2

Step-by-step explanation:

i got it right