A 6-ounce container of Greek yogurt contains 150 calories. Find the unit rate of calories per ounce.

Answer:

see explanation

Step-by-step explanation:

Pythagorean Theorem

7² + 8² = x²

49 + 64 = x²

113 = x²

x = √113 or 10.63

Distance Formula

√(-4 - 4)² + (4 - -3)²

= √8² + 7²

= √113 or 10.63

Answer:

a1 = 4

a2= -2

a3 = -8

a4= -14

a5= -20

Step-by-step explanation:

a12= a1 + 11d

-62 = 4 + 11d

-62-4 = 11d

-66= 11d

d = [tex]\frac{-66}{11}\\[/tex]

  = -6

a1 = 4

a2 = 4 - 6 = -2

a3 = 4 - (6×2) = -8

a4 = 4 - (6×3) = -14

a5 = 4 - (6×4) = -20

Answer:

Gabrielle is 69 while Mikhail is 23.

Step-by-step explanation:

Let G represent Gabrielle's age and M represent Mikhail's age.

Gabrielle is three times Mikhail's age. In other words:

[tex]G=3M[/tex]

The sum of their ages is 92. In other words:

[tex]G+M=92[/tex]

This is a system of equations. Solve. Substitute in G:

[tex]G+M=92\\(3M)+M=92\\4M=92\\M=23[/tex]

Thus, Mikhail is 23. Now, find Gabrielle's age:

[tex]G=3M\\G=3(23)\\G=69[/tex]

Gabrielle is 69.

Answer:

3x + 2y =60

Step-by-step explanation:

x = socks

y = shoes

3x + 2y =60

Answer:

3x + 2y =60

Step-by-step explanation:

Hope this Helps you !

Answer:

A. Neither Sneha nor the credit card company owes money

Step-by-step explanation:

Answer:

11.43

Step-by-step explanation:

80÷7= 11.428571428571428571428571428571

i hope this helps

Answer:

center : (-2, -2.5)

Step-by-step explanation:

Midpoint point formula says that if there are two points (x1,y1) and (x2,y2) then

coordinate of midpoint is given by

midpoint (x1+x2)/2 , (y1+y2)/2

_______________________________________________

In the problem, we have to find the center of circle of by using the midpoint formula.

Since the circle is circumscribed in square. Its center will be midpoint of either of the diagonal.

To find the center we can take coordinate of any of two diagonal points of square and find midpoint for this and that will be center of circle.

_________________________________________________

1st diagonal pair(4,8) and (-8,-3)

Then midpoint is (4 + -8)/2 , (8+ -3)/2  

midpoint (-2, -2.5)

Thus, center of circle is (-2,-2.5)

we can verify this by using other diagonal pair (-8,8) and (4,-3)

Midpoint in this case can be calculated as

midpoint (-8+4)/2 , (8 + -3)/2

midpoint (-2,-2.5)

Thus, we see that in both cases Midpoint is same and hence center is (-2, -2.5)

Answer:

The probability is 0.04746

Step-by-step explanation:

Firstly, we calculate the z-score here

Mathematically;

z-score = x-mean/SD/√n

Where from the question;

x = 85, mean = 90 , SD = 15 and n = 25

Plugging these values into the equation, we have;

Z = (85-90)/15/√25 = -5/15/5 = -1.67

So the probability we want to calculate is ;

P(z > -1.67)

We use the standard normal distribution table for this;

P(z > -1.67) = 0.04746

Answer:

1 1/3 ft

Step-by-step explanation:

12 inches in a foot, so 16/12, or 1 4/12 feet, or 1 1/3 feet

Answer:

[tex]\left(-\dfrac{7}{2},\dfrac{7\sqrt{3}}{2}\right)[/tex].

Step-by-step explanation:

The given point is

[tex]\left(7,\dfrac{2\pi}{3}\right)[/tex]

We need to find the rectangular coordinates of the given point.

If a polar coordinate is [tex](r,\theta)[/tex], then  

[tex]x=r\cos theta[/tex]

[tex]y=r\sin theta[/tex]

In the given point [tex]\left(7,\dfrac{2\pi}{3}\right)[/tex],

[tex]r=7,\theta=\dfrac{2\pi}{3}[/tex]

Now,

[tex]x=7\cos \dfrac{2\pi}{3}[/tex]

[tex]x=7\cos \left(\pi-\dfrac{\pi}{3}\right)[/tex]

[tex]x=-7\cos \left(\dfrac{\pi}{3}\right)[/tex]

[tex]x=-7\left(\dfrac{1}{2}\right)[/tex]

[tex]x=-\dfrac{7}{2}[/tex]

and,

[tex]y=7\sin \dfrac{2\pi}{3}[/tex]

[tex]y=7\sin \left(\pi-\dfrac{\pi}{3}\right)[/tex]

[tex]y=7\sin \left(\dfrac{\pi}{3}\right)[/tex]

[tex]y=7\left(\dfrac{\sqrt{3}}{2}\right)[/tex]

[tex]y=\dfrac{7\sqrt{3}}{2}[/tex]

Therefore, the required point is [tex]\left(-\dfrac{7}{2},\dfrac{7\sqrt{3}}{2}\right)[/tex].

Answer:

The answer is option A.

Step-by-step explanation:

To find the length of AB we use sine

sin∅ = opposite / hypotenuse

From the question

AB is the hypotenuse

AC is the opposite

sin 36 = AC / AB

sin 36 = 20/ AB

AB = 20 / sin 36

AB = 34.026

Hope this helps you

Answers:

sin a=12/15=4/5

step by step explanation:

AB=9, and BC=12

find c: hyp.=√12²+9²=c²

c=15

sin a=opp/hyp.=12/15=4/5 ( convert to degrees)

a=41.10

Answer:

Step-by-step explanatiio:

Ep is when Qd=Qs

400-4p=6p-10

-4p-6p=-10-400

-8p=-410

P=51.25frs

EQ=400-4(51.25)

400-205

=125kg

Answer:

11 children sitting

Step-by-step explanation:

3+8=11

Answer:

Point of faulty equipment car = 0.2614 (Approx)

Step-by-step explanation:

Given:

Total number of car = 700

Faulty equipment car = 183

Find:

Point of faulty equipment car

Computation:

Point of faulty equipment car = Faulty equipment car / Total number of car

Point of faulty equipment car = 183 / 700

Point of faulty equipment car = 0.261428571

Point of faulty equipment car = 0.2614 (Approx)

Answer:

Step-by-step explanation:

(3 +3 - 3 -3) / 3 = 0

3 - 3/3 - 3/3 = 1

3 + 3 - 3  - 3/3 = 2

(3*3*3/(3*3) = 3

(3 + 3+ 3+ 3) / 3  = 4

(3 * 3) - (3 + 3/3) = 5

((3*3*3)/ 3))  - 3 = 6

(3 * 3) - 3 + 3/3 = 7

(3*3*3 - 3) / 3 = 8

(3 + 3+3 + 3) - 3 = 9

3 + 3 + 3 + 3/3 = 10.

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

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

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

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

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

The equation for revenue earned from being opened for x hours will be y=150x-50 so it is absolutely correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given,

$100 for 1 hour

So,

x = 1 and y = 100

And,

$400 for 3 hour

So,

x = 3 and y = 400

Now the slope of the linear equation is given by

m = difference in ys coordinate / difference in xs coordinate  

m = (400 - 300)/(3-1) = 150

So equation become

y = 150x + b

Now put (3,400) to find out b

400 = 150(3) + b

b = -50

So, equation

y = 150x - 50

Hence " The equation for revenue earned from being opened for x hours will be y=150x-50".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Answer:

5π/4 & 7π/4 & 13π/4

Step-by-step explanation:

For this problem, we simply need to find the value of theta for which arcsin(-sqrt(2)/2) is true.  This value is π/4 or 45 degrees if we had a positive.  To make the negative true, we need the angle to be in the third or fourth quadrants (i.e., 5π/4 and 7π/4).  These are two of the answer choices.  And then anytime these return (i.e., by adding 8/4 to either of these) should also be selected as a correct angle.  Thus we get 13π/4 as the final angle.

Answer:

Option 1

Step-by-step explanation:

[tex]Total \: value \: of \: \pi \: in \: terms \: of \: angles \: = 180 [/tex]

[tex]So \: putting \: the \: of \: \pi \: in \: \frac{3\pi}{4} gives[/tex]

[tex] \frac{3 \times 180}{4} = 3 \times 45 = 135 \: degrees [/tex]

[tex] \sin(135) = \frac{- \sqrt{2} }{2} = \frac{-1}{ \sqrt{2} } [/tex]

Answer:

16

Step-by-step explanation:

1x to 2x ratio

total is 24 oz, aka 3x or 1x+2x

24oz=3x

do some math

x=8oz

raisins = 2x = 16 oz

Answer:

Step-by-step explanation: 2x-16 oz

Answer:

7 square root x = 14​

Step-by-step explanation:

A radical equation will have the variable inside the radical

Answer:

D

Step-by-step explanation:

A radical equation persists when a radical includes a variable within it. In this case the x is in the radical, times 7. The rest of the answers do not have a variable in a radical.

Answer:  = approx 0.2006

Step-by-step explanation:

The probability that first 1 randomly selected  calculator is defective is

P(1st defect)= 42/(42+20)=42/62=21/31

If the first calculator is defective the residual number of defective calculators is 42-1=41. The residual total number  number of calculators is 62-1=61

So the probability that second calculator is defected

P(2nd defective)=41/61

If both previous calculators are defective the residual number of defective calculators is 42-2=40.  Total residual number of calculators is 62-2=60

So the probability that third calculator is defected

P(3rd defective)=40/60=2/3

Finally the probability that also fourth calculator is defective is 39/59

P(4th defective)=39/59

The resulted probability that all 4 calculators are defective is

P(all 4 are defective)= P(1st defect)* P(2nd defect) * P(3rd defect)* P(4th defect)=21*41*2*39/(31*61*3*59)=67158/334707=0.200647... = approx 0.2006

Answer:

speed=3.33m/s

Step-by-step explanation:

speed= distance÷time

3.33 m/s

length = ?

Answer:

Length  : 50m

Speed   : 5 m  /  s

im sorry if im too late :'(

Answer:

Pii is equAAAaaaaallLLLL to 3.14(rounded)

Step-by-step explanation:

Here listed are some formulas which can help you with your problems:

circumference of a circle=C=2πr

however, you can also write it as dπ, since  is two d times r.

area of a circle= πr^2

simply plug in your values, and solve them

you have all the materials you need to know

Further assistance/spoonfeed time:

We know the formulas for the circumference and area.

We also have the values of the circles A and B.

C=2πr

That's the formula, and now I'm gonna plug in the values given to me for A, which is 21.98 for circumference, and 7 for diameter.

(21.98)=2πr

Like I said before, the radius multiplied by 2 is the diameter, which is 7. But if you actually want the radius for some reason, just divide the diameter by 2.

let's update the equation: 21.98= 7π

now divide both sides by seven, and you'll get 3.14=π

area=π^2

now do what i just did, according to this formula

Answer:

Step-by-step explanation:

w - 3 = 15

Add 3 to both sides to make w stand alone

That's

w - 3 + 3 = 15 + 3

w = 15 + 3

We have the final answer as

w = 18

Hope this helps you

Answer: w = 18

Step-by-step explanation: To solve for w in this equation, we want to get w by itself on the left side of the equation.

Since 3 is being subtracted from w, to get w by itself,

we need to add 3 to the left side of the equation.

If we add 3 to the left side, we must also add 3 to the right side.

Notice that on the left side, -3 and +3 cancel

each other out so were simply left with w.

On the right side, 15 + 3 is 18.

So we have w = 18.

Answer:

5/9

Step-by-step explanation:

f(x) =5•3^x

Let f = -2

f(2) =5•3^-2

     = 5 * 1/ 3^2

     = 5 * 1/9

     = 5/9

Step-by-step explanation:

F(-2) for f(x) =5•3^x

Then, replace x by - 2

F(-2)=5•3^-2 (RULE= 3^-2 = 1/3^2)

[tex] = 5. \frac{1}{ {3}^{2} } [/tex]

[tex] = 5 . \frac{1}{9} [/tex]

[tex] = \frac{5}{9} [/tex]

Hope this helps..have a great day!

Answer:

y= 1/14 sin(x-3π)-5

Answer:

Y = 40

Step-by-step explanation:

First find the measure of V

The sum of the angles of a triangle equal 180

U+V+W =180

70+Y+70 =180

140+U =180

U = 180-140

U = 40

Since the triangles are similar

V = Y

40 = Y

Answer:

x=1

y=1

Step-by-step explanation:

Please look at the image below for solutions⬇️

Answer:

Step-by-step explanation:

Add the equations in order to solve for the first variable . Plug this value into the equations in order to solve for the remaining variables.

Point form

(x, 2-x)

Hey there! I'm happy to help!

We want to find the volume of this  rectangular waterbed. This means the amount of space it takes up. To find the volume of a rectangular prism, you just multiply together the three side lengths.

7×5×1=35 cubic feet

Now, we need to see how many gallons fit into 35 cubic feet. We see that one gallon is equal to 0.13 cubic feet. So, we can set up a proportion to find how many gallons are needed. We will use g to represent our missing number of gallons.

[tex]\frac{gallons}{cubic feet} = \frac{1}{0.13} =\frac{g}{35}[/tex]

In a proportion, the products of the diagonal numbers are equal. This means that 35, which is 1 multiplied by 35, is equal to 0.13g, which is from multiplying 0.13 by the g.

0.13g=35

We divide both sides by 0.13/

g≈269.23

When rounded to the nearest whole gallon, we will need 269 gallons of water to fill the waterbed.

I hope that this helps! Have a wonderful day! :D

Answer:

Step-by-step explanation:

Since the waterbed is rectangular, its volume would be determined by applying the formula for determining the volume of a cuboid which is expressed as

Volume = length × width × height

Therefore,

Volume of waterbed = 7 × 5 × 1 = 35 cubic feet

1 US gallon = 0.133680556 cubic feet

Therefore, converting 35cubic feet to gallons, it becomes

35/0.133680556 = 261.81818094772 gallons

Rounding up to whole gallon, it becomes 262 gallons

Answer:

(C) Translation of 2 units right, 1 up, and a reflection over the y-axis.

Step-by-step explanation:

Ideally, we are looking for a reflection of the red image over the y-axis, and to do that, we can see how we need to move the black image.

In order for points Q and Q' to be a reflection of each other, they need to have the same y value, and be the exact same distance from the y axis, so the point that Q has to be at is (-1,-3).

Q is right now at (-3,-4) so we can translate this.

To get from -3 to -1 in the x-axis, we go right by 2 units.

To get from -4 to -3 in the y-axis, we go up one unit.

Now, if we reflect it, the triangles will be the same.

Hope this helped!

Answer:

C.

Step-by-step explanation:

When you study the images, it is clear that the black triangle has to be reflected over the y-axis to face the same direction as the red triangle. So, choice A is eliminated.

Once you reflect the black triangle across the y-axis, you have points at (-1, -1), (3, -4), and (3, -2). Meanwhile, the red triangle's coordinates are at (-3, 0), (1, -3), and (1, -1). From these points, you can tell that the x-values differ by 2 units and the y-values differ by 1 unit.

All of these conditions match the ones put forth in option C, so that is your answer.

Hope this helps!