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3 years ago

Helpppppppppppppppppppppppppppp

Mathematics

1 answer:

luda_lava [24]3 years ago

8 0

Hi the answer should be 4

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In cabbage butterflies, white wings (W) are dominant to yellow wings (w). A heterozygous butterfly mates with a butterfly that h

Fynjy0 [20]

Answer:

(a)

$\begin{array}{ccc}{} & {W} & {w} & {w} & {Ww } & {ww } & {w} & { Ww} & {ww } \ \end{array}$

(b)

$White = 50\%$

$Yellow = 50\%$

Step-by-step explanation:

See attachment for initial punnet square

Solving (a): Complete the square

Initially, we have:

$\begin{array}{ccc}{} & {W} & {w} & {w} & { } & { } & {w} & { } & { } \ \end{array}$

To complete the square, we simply write the letter at the column and the letter at the row in each cell;

So, we have:

$\begin{array}{ccc}{} & {W} & {w} & {w} & {Ww } & {ww } & {w} & { Ww} & {ww } \ \end{array}$

Solving (b): Percentage of each

From the question, we understand that W are dominant to w.

So:

$Ww = White$

$ww = Yellow$

From (a) above

$Ww = 2$

$ww = 2$

$Total = 4$

So, the percentage of each is:

$White = \frac{Ww}{Total} * 100\%$

$White = \frac{2}{4} * 100\%$

$White = 0.5 * 100\%$

$White = 50\%$

$Yellow = 100\% - White$ --- Complement rule

$Yellow = 100\% - 50\%$

$Yellow = 50\%$

8 0

3 years ago

A rocket is divided into three sections: the payload and navigation section in the top, the fuel section in the middle, and the

Zarrin [17]

Answer:

Let's name each of the three sections of the rocket as:

- $P$ payload and navigation

- $F$ fuel

- $E$ engine

Now, we are told that:

The top section is one-sixth the length of the bottom section:

$P=\frac{1}{6}E$ (1)

The middle section is one-half the length of the bottom section:

$F=\frac{1}{2}E$ (2)

The total length is 240ft:

$P+F+E=240ft$ (3)

We may begin by substiting (1) and (2) in equation (3), in order to find the value of the engine section $E$ :

$\frac{1}{6}E+\frac{1}{2}E+E=240ft$

$E=144ft$ (4)>>>> Value of the engine section length

Then, we substitute this value of $E$ in equations (1) and (2):

$P=\frac{1}{6}144ft$

$P=24ft$ (5)>>>> Value of the payload and navigation section length

$F=\frac{1}{2}144ft$

$F=72ft$ (6)>>>> Value of the fuel section length

5 0

3 years ago

Can I get some help please?! I will mark Brainliest and 5 stars ✨

Kaylis [27]

See in the explanation

<h2>Explanation:</h2><h2 /><h3>Part 1.</h3>

If you have two variables, the proportional relationship tells us that the ratio between these variables stays the same. Suppose you have two variable $x \ and \ y$ , so in proportional relationship we say $y$ varies proportionally as $x$ or in other terms $y$ is directly proportional to $x$ . If so, then $y$ increases as $x$ increases or $y$ decrases as $x$ decreases:

$y=kx \\ \\ k:Constant \ of \ proportionality$

But how does the slope relate to the equation? Well, in this case $y=kx$ is the equation of a line and $k$ which is the constant of proportionality represents the slope of the line.

Here we have:

$y=mx \\ \\ Where: \\ \\ m:Slope$

The slope is the steepness of the line and also tells us its direction. But what do the graphs of lines given by that form have in common? Well, the common thing is that they all pass through the origin (0, 0), because the y-intercept is $b=0$

On the other hand, how might they differ? Well, they might differ in the inclination. So we can measure this as:

m > 0, the line increases its outputs if you move from left to right.

m < 0, the line decreases its outputs if you move from left to right.
m = 0, the line lies on the x-axis and is constant.
m <em>undefined, </em>this occurs when the line is vertical.

The table shows relationship between time (s) and distance (m) of a train that is traveling. We know that the table represents a linear relationship because the between two consecutive outputs (distance) is constant, that is:

$50-25=25 \\ 75-50=25 \\ 100-75=25$

$y-y_{1}=m(x-x_{1}) \\ \\ m:Slope \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line \\ \\ \\ So: \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Two \ points: \\ \\ (x_{1},y_{1})=(2,25) \\ (x_{2},y_{2})=(4,50) \\ \\ m=\frac{50-25}{4-2} \\ \\ m=\frac{25}{2}$

So, the equation of the line is:

$\boxed{y-25=\frac{25}{2}(x-2)}$

In this case, we have a relationship between a hiker's elevation and time given by a proportional relationship. We know this is so because the graph is a line and passes through the origin (See Part 2). So we can find the constant of proportionality by computing the slope of the line. Therefore:

$k=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Two \ points \ are: \\ \\ (x_{1},y_{1})=(0,0) \\ (x_{2},y_{2})=(1,30) \\ \\ k=\frac{30-0}{1-0} \\ \\ \boxed{k=30}$

So the slope is also:

$\boxed{m=30}$

So the equation of the line can be written as:

$y=kx \\ \\ \boxed{y=30x}$

As we said before, the graph of lines given by the form:

$y=mx$

passes through the origin having slope $m$ . In this case, we have the following equation:

$y=-\frac{1}{2}x$

So we can graph this with two points, since the origin is a point that lies on the line, we just need another point. Let's say:

$x=1 \\ \\ y=-\frac{1}{2}x \\ \\ y=-\frac{1}{2}(1) \\ \\ y=-\frac{1}{2} \\ \\ Another \ point \ is: \\ \\ (1,-1/2)$

Graph a line that passes through these two points as shown below

As the problem states, Resting heart rate is a measure of how fast the heart beats when a person is not performing a physical activity. So you can see that the graph shows the number of heartbeats over time for a given person. So we have the following equation of the slope in an incomplete form:

$m=\frac{280-()}{()-2} \\ \\ Recall \ that: \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ So: \\ \\ (x_{1},y_{1})=(2,140) \rightarrow Because \ the \ image \ of \ 2 \ is \ 140 \\ \\ (x_{2},y_{2})=(4,280) \rightarrow Because \ the \ image \ of \ 4 \ is \ 280 \\ \\ Accordingly: \\ \\ \boxed{m=\frac{280-140}{4-2}=\frac{70}{1}} \\ \\ or \ simply: \\ \\ m=70$

Since this line passes through the origin, then:

$y=mx \\ \\ \boxed{y=70x}$

Here you have another example of proportional relationships. In this case, the number of gallons of white paint is related to the number of gallons of red paint. Since this line passes through the origin, we just need to find the slope in order to build up the equation of the line:

$Two \ points: \\ \\ (x_{1},y_{1})=(0,0) \\ \\ (x_{2},y_{2})=(4,1) \\ \\ m=\frac{1-0}{4-0} \\ \\ m=\frac{1}{4}$

Finally, the equation of the line is:

$\boxed{y=\frac{1}{4}x}$

His graph is incorrect. In fact, the graph comes from the equation:

$y=x$

Remember that we said above that if m < 0, the line decreases its outputs if you move from left to right.

In the graph occurs the opposite because the line increases its outputs if you move from left to right or, in other words, m > 0 and in this case m = 1, so:

$y=x$

<h2>Learn more:</h2>

Equation of lines: brainly.com/question/12169569

Proportional relationships: brainly.com/question/674693

#LearnWithBrainly

5 0

4 years ago

Sarah said that 26÷8 is the same as/equal to 14÷4 and the answers are "3r2". What did Sarah do wrong? 5th grade math help fir my

Fudgin [204]

Answer:

Yes

Step-by-step explanation:

Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her $\frac{13}{4}$ which is the same as $\frac{26}{8}$