Can somebody please help me 8th grade math puzzle

It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.

It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.

On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.

Therefore, it can be seen that Latanya is correct.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?

To rationalize the expression, we have to find common terms between numerators and denominators and then simplify:

To simplify the numerator of the second expression we have to remember that:

Then, the expression would be simplified as:

For the third expression, when factorizing we have to find two numbers that when added equals -3 and when multiplied equals +2, meaning:

Then, the factorization of the numerator of the third expression is:

Finally, to simplify the numerator of the last expression we will use the same factorization as in the third one. And for the denominator we have to use the following:

Answer:

Answer:

Si supiera te diría amigo perdón

The wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.

The frequency of the white allele (CW) in the population can be determined by subtracting the frequency of the red allele (CR) from 1, since the frequencies of all alleles in a population must add up to 1.

So, the frequency of the white allele (CW) can be calculated as follows:

CW = 1 - CR

Given that the frequency of the red allele (CR) is p = 0.7, we can substitute this value into the equation:

CW = 1 - 0.7

  = 0.3

Therefore, the frequency of the white allele (CW) in this population is 0.3.

In genetic terms, alleles are alternative forms of a gene, and the frequencies of different alleles within a population can be used to study genetic variations. In this case, we are considering a population of wildflowers and examining the frequencies of the red allele (CR) and white allele (CW).

The total frequency of alleles in a population is always 1 since each individual carries two alleles (one from each parent). Therefore, the frequency of the white allele can be obtained by subtracting the frequency of the red allele (0.7 or 70%) from 1. This is because the sum of the frequencies of all alleles must equal 1.

By performing the calculation, we find that the frequency of the white allele in this population is 0.3 or 30%.

This means that among the wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.

To know more about Frequency here

https://brainly.com/question/29739263

#SPJ4

Complete Question

Consider a population of wildflowers in which the frequency of the red allele CR is p = 0.7.

What is the frequency of the white allele (CW ) in this population?

The exact values are a) sin(7π/12) = (√6 + √2)/4, b) cos(7π/12) = (√2 - √6)/4 and c) tan(7π/12) = (√6 + √2) / (√2 - √6)

To find the exact values of the sine, cosine, and tangent of the angle 7π/12, we can use trigonometric identities and formulas.

Let's break down 7π/12 into the sum of two common angles: π/3 and π/4.

7π/12 = π/3 + π/4

Now we can find the exact values of sine, cosine, and tangent for π/3 and π/4 individually, and then combine the angles results.

For π/3:

sin(π/3) = √3/2

cos(π/3) = 1/2

tan(π/3) = √3

For π/4:

sin(π/4) = √2/2

cos(π/4) = √2/2

tan(π/4) = 1

Now, using the sum and difference formulas for sine and cosine, we can find the values for 7π/12:

sin(7π/12) = sin(π/3 + π/4)

= sin(π/3)cos(π/4) + cos(π/3)sin(π/4)

= (√3/2)(√2/2) + (1/2)(√2/2)

= (√6 + √2)/4

cos(7π/12) = cos(π/3 + π/4)

= cos(π/3)cos(π/4) - sin(π/3)sin(π/4)

= (1/2)(√2/2) - (√3/2)(√2/2)

= (√2 - √6)/4

tan(7π/12) = sin(7π/12)/cos(7π/12)

= ((√6 + √2)/4) / ((√2 - √6)/4)

= (√6 + √2) / (√2 - √6)

Therefore, the exact values are a) sin(7π/12) = (√6 + √2)/4, b) cos(7π/12) = (√2 - √6)/4 and c) tan(7π/12) = (√6 + √2) / (√2 - √6).

To know more about angles check the below link:

https://brainly.com/question/30721569

#SPJ4

\( \Large \pink{\tt \dfrac{35}{36}}\)

\( \tt \dfrac{3}{4} + \dfrac{2}{9}\)

By taking LCM = 4 × 9 = 36

\( \tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}\)

\( \tt = \dfrac{27}{36} + \dfrac{8}{36}\)

\( \tt = \dfrac{27 + 8}{36}\)

\( \tt = \dfrac{35}{36}\)

\( \pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}\)

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

Know more about quadratic function here;

https://brainly.com/question/18958913

#SPJ11

The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:

log₂(x - 1) = x³ - 4x

Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.

For the point (2, 0):

log₂(2 - 1) = 2³ - 4(2)

log₂(1) = 8 - 8

0 = 0

The equation holds true for the point (2, 0), so (2, 0) is one solution.

For the point (1.1187, -3.075):

log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)

log₂(0.1187) = 1.4013 - 4.4748

-3.075 = -3.0735 (approx.)

The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.

Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

Learn more about Logarithm here:

https://brainly.com/question/30226560

#SPJ1

100 mph going there, 50 coming back

Answer:

Angles on a straight line add up to 180 degrees so for the 129 degrees you will take 180 - 129 = 51. In the triangle you will add 51 and 55 = 106 but remember in a triangle all angles should be equal to 180. So 180 - 106 = 74. X=74degrees

Answer:

D. 180 degrees

Step-by-step explanation:

A straight line is 180 degrees.

Answer:

The answer is 180 degrees.

Step-by-step explanation:

✌Hope I helped ya✌

Brainliest would be nice

< Sarah >

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

Learn more about graphs:

https://brainly.com/question/16608196
#SPJ1

Answer:

The answers is

x=−1

Step-by-step explanation:

Can you give me Brainleist please :)

Answer: B. 1/5

Step-by-step explanation:

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

Explanation:

We'll need these trig ratios

Refer to the diagram below.

sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.

cos(B) = s = s/1 means the adjacent side to angle B is of length s

sides r and s are the two legs of the right triangle.

----------

From that diagram, we can then say:

sin(angle) = opposite/hypotenuse

sin(C) = s/1

sin(C) = s

This is identical to cos(B). We can say cos(B) = sin(C)

Also, we can say:

cos(angle) = adjacent/hypotenuse

cos(C) = r/1

cos(C) = r

So cos(C) = sin(B)

This works because B+C = 90

----------

So,

sin(C) - cos(C) = cos(B) - sin(B) = s - r

Answer:

d = 6

Step-by-step explanation:

3d + 9 = 27

Subtract 9 from each side

3d + 9-9 = 27-9

3d = 18

Divide each side by 3

3d/3 = 18/3

d = 6

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{d = 6}}}}}\)

Step-by-step explanation:

\( \sf{3d + 9 = 27}\)

Move 9 to right hand side and change its sign

\( \dashrightarrow{ \sf{3d = 27 - 9}}\)

Subtract 9 from 27

\( \dashrightarrow{ \sf{3d = 18}}\)

Divide both sides by 3

\( \dashrightarrow{ \sf{ \frac{3d}{3} = \frac{18}{3}}} \)

Calculate

\( \dashrightarrow{ \sf{d = 6}}\)

Hope I helped!

Best regards! :D

The expression that describes the change in distance during these 10 seconds is 666.67 meters.

The expression that describes the change in distance during these 10 seconds is given by the integral of the velocity function with respect to time, which is the area under the curve of the velocity function.

So, to find the change in distance during these 10 seconds, we need to integrate the velocity function from 0 to 10 seconds:

∫v(t) dt = ∫2t2 dt = (2/3)t3 + C

Now, we need to evaluate this expression at t = 10 seconds and t = 0 seconds to find the change in distance:

(2/3)(10)3 + C - [(2/3)(0)3 + C] = (2/3)(1000) - (2/3)(0) = 2000/3 = 666.67 meters

(2/3)(10)3 + C - [(2/3)(0)3 + C] = 2000/3 = 666.67 meters

(2/3)(10)3 + C - [(2/3)(0)3 + C] = 666.67 meters

Therefore, the expression that describes the change in distance during these 10 seconds is 666.67 meters.

For more information about velocity function, visit:

https://brainly.com/question/25749514

#SPJ11

Answer:

8.4 and 1.44

Step-by-step explanation:

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

To learn more about substituting visit:

https://brainly.com/question/10423146

#SPJ11

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

To know more about integrating factor visit:

brainly.com/question/32554742

#SPJ11

Answer:

1,198 cm

Step-by-step explanation:

To find the diameter, use the formula d = 2r.

d = 2(599)

d = 1,198

Ok, so

If the scale from the real Eiffel Tower to the scale model is 15 ft to 3 in, the unit rate will be:

This means that, in the scale:

5 ft = 1 in.

Then, the unit rate is 5.

Answer:

The answer to your problem is, A semicircle is half of a circle

What is Semicircle?

If a circle is cut into half along the diameter, that half-circle is called a semicircle. The two halves are of equal measure. A semicircle can also be referred to as a half-disk and it represents a circular paper plate folded into halves. There is one line of symmetry in the semicircle that is considered as the reflection symmetry. Since the semicircle is the half of a circle which is 360°, hence the arc of the semicircle always measures 180°.

Or if you have no time imagine

You have an entire pizza you tell you other friend “ Lets half the pizza “ You do that next you can tell your friend that this is a semicircle and we both have semicircles your friend might not know but know they know . .

Interesting story I know but that is our answer.

Thus the answer to your problem is, A semicircle is half of a circle

Answer:

le demi-cerclec'est une figure plate délimitée par un diamètre de la circonférence et l'un des deux arcs de cercle plats déterminés par ledit diamètre. De cette façon, un demi-cercle est bordé par un demi-circonférence, qui se compose d'un arc de cercle plat et d'un segment droit qui joint les extrémités de l'arc de cercle plat.

Step-by-step explanation:

The greatest common factors of the triplets of natural numbers are:

Case 1: G.C.F. = 8

Case 2: G.C.F. = 14

Case 3: G.C.F. = 9

Case 4: G.C.F = 2⁴

Case 5: G.C.F. = 16

Case 6: G.C.F. = 4

Case 7: G.C.F. = 15

Case 8: G.C.F. = 1

Case 9: G.C.F. = 3

Case 10: G.C.F. = 10

Case 11: G.C.F. = 2

Case 12: G.C.F. = 1

Case 13: G.C.F. = 4

Case 14: G.C.F. = 6

Case 15: G.C.F. = 4

Case 16: G.C.F. = 8

Natural numbers can be classified into two groups: (i) Prime numbers, (ii) Composite numbers. Composite numbers are products of prime numbers. Greatest common factors are the greatest common natural number that can divide a group on number.

The process to determine the greatest common factor is shown below:

Case 1

80 = 2⁴ × 5

64 = 2⁶

56 = 2³ × 7

G.C.F. = 2³

G.C.F. = 8

Case 2

56 = 2³ × 7

84 = 2² × 3 × 7

14 = 2 × 7

G.C.F. = 2 × 7

G.C.F. = 14

Case 3

45 = 3² × 5

54 = 2 × 3³

81 = 3⁴

G.C.F. = 3²

G.C.F. = 9

Case 4

64 = 2⁶

16 = 2⁴

32 = 2⁵

G.C.F = 2⁴

Case 5

48 = 3 × 2⁴

64 = 2⁶

96 = 2⁵ × 3

G.C.F. = 2⁴

G.C.F. = 16

Case 6

28 = 2² × 7

48 = 2⁴

96 = 2⁵ × 3

G.C.F. = 2²

G.C.F. = 4

Case 7

90 = 2 × 3² × 5

75 = 3 × 5²

45 = 3² × 5

G.C.F. = 3 × 5

G.C.F. = 15

Case 8

70 = 2 × 5 × 7

54 = 2 × 3²

95 = 5 × 19

G.C.F. = 1

Case 9

33 = 3 × 11

6 = 2 × 3

84 = 2² × 3 × 7

G.C.F. = 3

Case 10

30 = 2 × 3 × 5

90 = 2 × 3² × 5

70 = 2 × 5 × 7

G.C.F. = 2 × 5

G.C.F. = 10

Case 11

100 = 2² × 5²

30 = 2 × 3 × 5

2 = 2

G.C.F. = 2

Case 12

92 = 2² × 23

67 = 67

41 = 41

G.C.F. = 1

Case 13

92 = 2² × 23

16 = 2⁴

20 = 2² × 5

G.C.F. = 2²

G.C.F. = 4

Case 14

54 = 2 × 3³

60 = 2² × 3 × 5

72 = 2³ × 3²

G.C.F. = 2 × 3

G.C.F. = 6

Case 15

12 = 2² × 3

72 = 2³ × 3²

80 = 2⁵ × 5

G.C.F. = 2²

G.C.F. = 4

Case 16

80 = 2⁴ × 5

24 = 2³ × 3

48 = 2⁴ × 3

G.C.F. = 2³

G.C.F. = 8

To learn more on greatest common factors: https://brainly.com/question/11221202

#SPJ1

Answer:

3

Step-by-step explanation:

Substitute 2 into to equation. 4 times 2 is 8 and 8 -5 =3.

Answer:

F(2)=3

Step-by-step explanation:

Answer:

Where are the points or the picture?