Andrew purchased some drinks and some chips. Each bag of chips cost $2.00 and
each drink cost $2.50. The expression 2x + 2.5y gives the total amount of money
spent by Andrew on chips and drinks. What is the meaning of the term 2.5y?

Answer:

both x angles are equal to 40 degrees

Answer:

x would equal 40

Step-by-step explanation:

a line is 180, the angle inside the triangle is 100 and x is on both sides that means x would equal 40 because there is 2 x's and 100 is already a number and 180 is a line.

180 = x + x + 100

x + x + 100 - 100 = 180 - 100

x + x = 80

2x = 80

2 ÷ 2x = 80 ÷ 2

x = 40

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Taking two points on the graph (I took (0,9) and (6,7)

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

(7-9)/(6-0)=-2/6

=-1/3

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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Answer:

It is given :

Now,

3x + 4x = 56

7x = 56

x = 8

Now,

So, there are 32 black cats and 24 white cats.

Answer:

C

Step-by-step explanation:

x + y + 10 = 0 ( subtract x + 10 from both sides )

y = - x - 10 → (1)

x² + y - 2 = 0 → (2)

substitute y = - x - 10 into (2)

x² - x - 10 - 2 = 0

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 4 = 0 ⇒ x = 4

Answer:

it is less

Step-by-step explanation:

Answer:

It is less then bro.

Step-by-step explanation:

1/2 is 50% because it has bigger parts so it amounts to more

1/4 is less because it is divided into more parts so it equals 25%.

Answer:

yesssirrr

Step-by-step explanation:

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Using a calculator to find the approximate value of e in

F(e)=e^{2e} we have F(e)=229.6516. This is further explained below.

Generally, To approximate a function f (x) f (x) f (x) for values of x near to zero, one may use a power series known as a Maclaurin series.

In conclusion, Using your calculator to find the approximate value of e in

F(e)=e^{2e}

We have

F(e)=e^{2e}

F(e)=229.6516

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(a) w(x) = 5u(x) + 8v(x)

Differentiating with the sum rule gives

w'(x) = 5u'(x) + 8v'(x)

so that

w' (-5) = 5u' (-5) + 8v' (-5)

… = 5×2 + 8×4 = 42

(b) w(x) = u(x) v(x)

Differentiate using the product rule:

w'(x) = u'(x) v(x) + u(x) v'(x)

Then

w' (-5) = u' (-5) v (-5) + u (-5) v' (-5)

… = 2×6 + (-5)×4 = -8

(c) w(x) = u(x) / v(x)

Quotient rule:

w'(x) = (u'(x) v(x) - u(x) v'(x) ) / v(x) ²

Then

w' (-5) = (u' (-5) v (-5) - u (-5) v' (-5) ) / v (-5)²

… = (2×6 - (-5)×4) / 6² = 32/36 = 8/9

(d) w(x) = u(x) / (u(x) + v(x) )

Chain and quotient rule:

w'(x) = (u'(x) (u(x) + v(x)) - u(x) (u(x) + v(x))' ) / (u(x) + v(x) )²

… = (u'(x) (u(x) + v(x)) - u(x) (u'(x) + v'(x))) / (u(x) + v(x) )²

Then

w' (-5) = (u' (-5) (u (-5) + v (-5)) - u (-5) (u' (-5) + v' (-5))) / (u (-5) + v (-5) )²

… = (2×((-5) + 6) - (-5)×(2 + 4)) / ((-5) + 6)²

… = (2×1 + 5×6) / 1² = 32

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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a) (i) Average velocity = -96.8 ft/s

   (ii) Average velocity = -95.2 ft/s

   (iii) Average velocity = -92.8 ft/s

b) The instantaneous velocity of the pebble after 3 seconds is approximately -96 ft/s.

What is average velocity?

The change in position or displacement (x) divided by the time intervals (t) in which the displacement happens yields the average velocity. Depending on the sign of the displacement, the average velocity can be positive or negative.

(a)

(i) The time period from t = 3 to t = 3.1 is 0.1 seconds. The average velocity of the pebble during this time period can be found by taking the difference in position (y) divided by the difference in time (t).

Average velocity = (y(3.1) - y(3)) / (3.1 - 3)

Substituting \(y = 225 - 16t^2\), we get:

\(Average\ velocity = [(225 - 16(3.1)^2) - (225 - 16(3)^2)] / (0.1)\)

Average velocity = -96.8 ft/s (rounded to one decimal place)

(ii) The time period from t = 3 to t = 3.05 is 0.05 seconds. The average velocity of the pebble during this time period can be found using the same formula as above:

\(Average\ velocity = (y(3.05) - y(3)) / (3.05 - 3)\)

Substituting \(y = 225 - 16t^2\), we get:

\(Average\ velocity = [(225 - 16(3.05)^2) - (225 - 16(3)^2)] / (0.05)\)

Average velocity = -95.2 ft/s (rounded to one decimal place)

(iii) The time period from t = 3 to t = 3.01 is 0.01 seconds. The average velocity of the pebble during this time period can be found using the same formula as above:

Average velocity = (y(3.01) - y(3)) / (3.01 - 3)

Substituting \(y = 225 - 16t^2\), we get:

\(Average \ velocity = [(225 - 16(3.01)^2) - (225 - 16(3)^2)] / (0.01)\)

Average velocity = -92.8 ft/s (rounded to one decimal place)

(b)

The instantaneous velocity of the pebble at any given time t can be found by taking the derivative of the position function y(t) with respect to time:

\(\frac{dy}{dt} =-32t\\\)

Substituting t = 3, we get:

\(\frac{dy}{dt} =-96ft/s\\\)

Therefore, the instantaneous velocity of the pebble after 3 seconds is approximately -96 ft/s.

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In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).

A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).

In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

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The probability of the event of a wafer to be conforming and from lot A are as follows;

(a) P(A) ≈ 0.15541

(b) P(C) ≈ 0.84

(c) P(AC) ≈ 0.159

(d) P(A|C) ≈ 0.86

(e) P(C|A) ≈ 0.185

(f) E1 and E2 are independent events

Probability is given by the ratio of the number of required outcomes divided by the number of possible outcomes.

(a) The number of wafers from lot A = 79 + 13 = 92

79+13+157+43+260+40 = 592

Which gives;

The probability that the wafer is from lot A is therefore;

(b) The conforming wafers = 79+157+260 = 496

Which gives;

(c) The conforming wafers in lot A are 79

Therefore;

The probability that the wafer is from lot A and conforming is therefore;

(d) The probability that the wafer is conforming, given that it is from lot A is therefore;

P(A|C) = 79/92 ≈ 0.86

(e) The number of conforming wafers = 496

The probability that the wafer is from lot A given that it is conforming is therefore;

(f) Independent events are events such that the occurrence of one does not impact the probability of the other.

Given that the occurrence of E1 changes the probability of event E2 if the wafer is not replaced, the events are not independent events.

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Answer:

The  last equation

Step-by-step explanation:

The distributive property is shown by distributing the 0.5 to all of the (0.5+0.4+0.2)

Answer:

The answer is D.

Step-by-step explanation:

The distributive property is when you have an equation where you have to multiply a number by the sums of other numbers. So to better explain, with the distributive property, multiplying a number by multiple addends (0.5 x (0.5+0.3+0.2)), is the same as multiplying EACH addend individually by that number ((0.5*0.5)+ (0.5*0.3)+ (0.5*0.2)).

It's as if you're distributing the number you need to multiply, and the only one that shows that is answer D.  Hope that makes sense, if it does please give brainliest THANKS.

Equation representing person's systolic blood pressure

P= 0.005y² -0.03y +121

A. If Age is 43years systolic pressure is 128.96mm Hg.

B. If systolic pressure is 128.56 mm Hg then age is 42years.

As given,

Equation represent relation between systolic blood pressure 'P' mm Hg and age of the person 'y' years

P=0.005y² -0.03y +121 __(1)

A. For a person of age 43 years

Substitute y =43 in(1)

P = 0.005(43)² -0.03(43) +121

  = 9.245-1.29 +121

  =128.96 mm Hg

B. For a person's systolic pressure is 128.56 mm Hg

Substitute P = 128.56 in (1)

128.56=0.005y² -0.03y +121

⇒7.56= 0.005y² -0.03y

⇒y² -6y -1512=0

⇒y² -42y+36y-1512=0

⇒(y-42)(y+36)=0

⇒y=42 or -36

Age cannot be negative.

y=42years

Therefore, from a equation representing person's systolic blood pressure

P= 0.005y² -0.03y +121

A. If Age is 43years systolic pressure is 128.96mm Hg.

B. If systolic pressure is 128.56 mm Hg then age is 42years.

The complete question is:

A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation:      P= 0.005y² -0.03y +121 gives a person's blood pressure, P , at age y years. A.) Find the systolic pressure, to the nearest tenth of a millimeter, for a person of age 43 years.

B.) If a person's systolic pressure is 128.56 mm Hg, what is their age (rounded to the nearest single year)?

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Answer:

It is A -∞ < x < ∞

m Step-by-step explanation: I hope i am not late.

Answer:

Step-by-step explanation:

The top left angle is 55 (alternate interior angles).

x + 100 + 55 = 180                     All triangles are made up of 180 degrees

x + 155 = 180                             Subtract 155 from both sides.

x = 180 - 155                              Combine

x = 25

Hence, 'x = 25°' is the value of 'x'

Hoped this helped.

\(-BrainiacUser1357-\)

An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,

1.) The top three countries country A, country B, and country C won a total of 120 medals.

A + B + C = 120

2.) Country B won 11 more medals than country C

B = C + 11

3.) Country A won 38 more medals than the total amount won by the other two.

A = B + C + 38

A - 38 = B + C

Substitute the value of B+C form the last equation to the first equation,

A + A - 38 = 120

A = 79

Now, Substitue the value of A and B(from second equation)  in the first equation,

79 + C + 11 + C = 120

C = 15

Now, substitute the value of C in the second equation,

B = C + 11

B = 15 + 11

B = 26

Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.

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Answer:middle connection point

Step-by-step explanation:

Answer:

Day 6

Step-by-step explanation:

Every 3 days 1 pound of hay is used every day 1 pound of grain is used. There are 10 pounds of grain and 8 pounds of hay. On the 6th day there are 6 pounds of hay left and 6 pounds of grain left.

The number of days after which the amount of hay and the grain will be the same is 12 days.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Hay = 8 pounds

1 pound = 3 days

From the graph,

Grain = 10 pounds

5 pounds left after 10 days

1 pound = 2 days

Now,

The number of days x after which the pounds left will be the same.

(-1/3)x + 8 = 10 - (1/2)x

(-1/3)x + (1/2)x = 10 - 8

(-2x + 3x)/6 = 2

x/6 = 2

x = 12

Thus,

After 12 days the hay and the grain left over will be the same.

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Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.

The original vertices are:

(4, 4), (4, 2), and (6, 3)

Subtracting 4 from the x-coordinates, we get the new vertices:

(0, 4), (0, 2), and (2, 3)

To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:

   (4,4)

     / \

    /   \

(4,2)----- (6,3)

To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.

So, the new x-coordinates of the vertices become:

x-coordinate of (4, 4) - 4 = 0

x-coordinate of (4, 2) - 4 = 0

x-coordinate of (6, 3) - 4 = 2

The y-coordinates of the vertices remain the same.

Therefore, the new vertices of the triangle are:

(0, 4), (0, 2), and (2, 3)

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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?

A. (0, 4), (0, 2), (2, 3)

B. (4, 0), (4, -2), (6, -1)

C. (4, 8), (4, 6), (6, 7)

D. (8, 4), (8, 2), (10, 3)

Answer:

The answer is (-2,0)

Step-by-step explanation:

The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)