Evelyn bought snacks for her team's practice. She bought a bag of chips for
$2.99 and a 20-pack of juice bottles. The total cost before tax was $36.39.
Write and solve an equation which can be used to determine j, how much
each bottle of juice costs.
Equation:
Answer: j =
=

The proportion illustrated as (7/3)/(3/4) = (2/3)/(4/7) is false.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The fraction will be illustrated thus:

(7/3) / (3/4)

= 7/3 × 4/3

= 28/9

= 3 1/9

(2/3( / (4/7)

= 2/3 × 7/4

= 14/12

= 1 1/6

Therefore it's false as the values are different.

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Answer: 0.02

Step-by-step explanation: hundreds is 0.0 and its 2 so it would be 0.02

Using place value chart value of \(2\) in the \(304.72\) is quals to \(0.02\) (decimal form).

" Place value is defined as the value represented by each digit of a number on the basis of its position on a number."

According to the question,

Given number ,

\(304.72\)

Place value of all digits in \(304.72\)

Place value of \(4 = ones\)

Place value of \(0 = tens\)

Place value of \(3= hundreds\)

Place value of \(7= tenth\)

Place value of \(2 = hundredth\)

                           \(= \frac{2}{100}\)

                           \(=0.02\) (decimal form)

Hence, value of \(2\) in the \(304.72\) is quals to \(0.02\) (decimal form).

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Answer:

It's equal to itself. Here are the two ways to do this problem. ↓

Answer:

11 degrees

Step-by-step explanation:

We can write an equation

x - 13 = -2  Add 13 to both sides

x = 11

Answer:

A made 6 B worth 3p

S made () worth 2p

so it would be 6 baskets because the all multiply the same way. 3x2 and 2x3 they both equal to 6

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

Answer:

(1.5,-0.5)

Step-by-step explanation:

(a)  The statement of owner's equity for Year 1  is $26,920

(b)  The statement of owner's equity for Year  2 is $52,720

(a) Preparation of  the statement of owner's equity for Year 1 at its December 31 year end.

JARVIS statement of owner's equity for year ended December 31 Year 1  

Owner investment  $12,400

Add Net income $ 33,600

Less Jarvis, Withdrawals ($ 19,080)

Statement of owner's equity for Year 1 $26,920

(b) Preparation of  the statement of owner's equity for Year 2 at its December 31 year end.

JARVIS statement of owner's equity for year ended December 31 Year 2

Owner investment $12,400

Add Net income  $ 56,000

Less  Jarvis, Withdrawals  $ 15,680

Statement of owner's equity for Year 2 $52,720

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a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)

b) The number of bacteria after 7 hours, P(7)=13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t)=1081.705

d) The population will reach 250,000 after - 4.6hours.

a)The exponential growth model is \(P = P_{0} e^{rt}\)

Where,

\(P_{0}\) = Initial growth

r = growth rate

t = time period

It is given that initially cells, \(P_{0}\) = 50

time period, t = 1.5 hours

Population after t = 1.5 hours is , P =875

Substitute the given values in the growth exponential model:

      875 = \(50 e^{r * 1.5}\)

 ⇒  \(\frac{875}{50}\) =  \(e^{r * 1.5}\)

 ⇒ 17.5 = \(e^{r * 1.5}\)

 ⇒ log (17.5 ) = log (\(e^{r * 1.5}\) )

 ⇒ log (17.5 ) = 1.5r

 ⇒ 1.24 = 1.5r

 ⇒ r = \(\frac{1.24}{1.5}\)

    r = 0.8%

Thus, P(t) = \(50e^{0.8t}\)

b) Number of bacteria after 7 hours is calculated as follows:

    P(7) = \(50 e^{0.8 * 7}\)

    P(7 ) = 13521.320

c) The rate of growth (in bacteria per hour) after 7 hours:

  P(t) = \(50e^{0.8t}\)

Differentiate w.r.t :

  P(t) = 50 × \(0.8e^{0.8t}\)

       = 50 × \(0.8e^{0.8 * 7}\)

      = 1081.705

d) The population at time t is P(t) = 250000

     250000 = \(50e^{0.8t}\)

  ⇒   \(\frac{250000}{50}\)  =\(e^{0.8t}\)

  ⇒  5000 = \(e^{0.8t}\)

 ⇒ 0.8t = 3.7

 ⇒  t = 4.6

a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)

b)The number of bacteria after 7 hours, P(7) = 13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t) =  1081.705

d) The population will reach 250,000 after - 4.6hours.

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The measure of angle DEF is 37 degrees.

What is chord in circle

In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. More specifically, a chord of a circle is a line segment whose endpoints lie on the circle.

Every circle has infinitely many chords, but some of the most commonly discussed chords are the diameter (a chord that passes through the center of the circle), and the secant (a chord that intersects the circle at two distinct points).

Chords play an important role in geometry, as they can be used to determine various properties of circles, such as their radius, diameter, and area.

Since G is the center of the circle, the angle DGE is a central angle of the circle.

Therefore, the angle DGE is equal to twice the inscribed angle DEF that subtends the same arc DE.

Let x be the measure of angle DEF. Then, we have:

2x = 74

x = 37

Hence, the measure of angle DEF is 37 degrees.

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The correct option is, Because 1/36 times 3 equals 1/12, the quotient of the division of 1/12 ÷ 3 gives 1/36.

Given problem is to find the quotient of the division of 1/12 ÷ 3.

The quotient of the given division is some x, such that,

3x = 1/12

That is when we multiply the required quotient with 3, we will get the product as 1/12.

We know that,

3 × 1/36 = 1/12

So the quotient is 1/36.

Hence the required quotient is 1/36.

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Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

x = ~29 ft

h = ~34 ft

(explanation in image)

Answer:

17

Step-by-step explanation:

∠CDE is a 90 degree's, and it splits, because ∠CZB said that it is 39 degrees, thus meaning that the degree of ∠BZD=51, and x=17, because 17*3=51.

I know this will be helpful to you  

how many 2/3 are in 9/8?

or another way to put it will be

how many times does 2/3 go into 9/8?

well, is simply a division.

\(\cfrac{9}{8}\div \cfrac{2}{3}\implies \cfrac{9}{8}\cdot \cfrac{3}{2}\)

Answer:

2 is the answer that I would give. The question says distinct solutions does this graph have.

Step-by-step explanation:

You are asked only how many times this crosses the x axis. You are not asked for an exact value. So the thing to do is graph the polynomial.

y = x^3 - 3x^2 + 4

The graph says that x = -1 with a multiplicity of 1

It also says that x=2 is a solution with a multiplicity of 2 (meaning there are 2 roots are the same).

So this polynomial factors into y = (x + 1)(x - 2)(x - 2)

The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

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Answer:

m=2

Step-by-step explanation:

use points (2,2) and (6,10)

(find y of slope)10-2=8

(find x of slope)6-2=4

8/4=2

The answer is 2.52

I hope this helps you!

Answer:

Step-by-step explanation:

3.12 - 0.6 = 2.52

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

Answer:

X=60°

Step-by-step explanation:

Because the sum of angle of all side of a triangle is 180°

and

if that goes on

the equation become

x°+75°+45°=180°

x°+120°=180°

x°=180°-120°

x°=60° hence prove

Answer:

$8

Step-by-step explanation:

Let f = 1 kg of French Roast coffee

Let b = 1 kg of Boxer Blend coffee

Given:

⇒ f + b = 14

Given:

⇒ 2f + 3b = 36

Rewrite the first equation to make f the subject:

⇒ f + b = 14

⇒ f = 14 - b

Substitute this into the second equation and solve for b:

⇒ 2f + 3b = 36

⇒ 2(14 - b) + 3b = 36

⇒ 28 - 2b + 3b = 36

⇒ 28 + b = 36

⇒ 28 + b - 28 = 36 - 28

⇒ b = 8

Therefore, the price of 1 kg of Boxer Blend coffee is $8

Answer:

CFB or DFE

Step-by-step explanation:

Congruent angles have the same value in degrees.

Knowing that line DB is straight and CE is perpendicular to DB (at 90 degrees to DB), we know CFD is 90 for the sum of CFD and CFB to equal 180 degrees (since they are on a straight line which is 180 degrees). We also know DFE is 90 for the same reason.

Our question is asking what is congruent or the same angle as CFD. In this case, there are 2 congruent angles: CFB and DFE.

CFB is 90 these angles are on the same line DB and are supplementary (add up to 180 degrees)

DFE is also a correct option since this and CFD are on the line CE and are also supplementary

Answer:

\(x=\frac{z-y}{2y}\)

Step-by-step explanation:

Answer:

K. none of these (36 wins needed)

Step-by-step explanation:

1st way

80 + 40 = 120

80% of 120 = 96

96 - 60 = 36

2nd way

80 played + 40 left = 120 total

80% season record times 120 total =

12 times 8 is 96 = 80% win record

60 won 20 lost out of 80 total

120 total - 96 wins = 24 losses

96 wins 24 losses 120 total

96 wins - 60 wins = 36 wins out of 40 total