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3 years ago

Using the distributive property, what is the best way to multiply 8 by 7?

Mathematics

1 answer:

Wittaler [7]3 years ago

4 0

8 x 7 = 56

Just multiply the two, if the question was 7 + 8 x 7

then you'd multiply 8 by 7 and that would give you 56

then you'd add 7 for the final answer of 63 but you don't have to add 7 in this problem

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Please help

ElenaW [278]

Answer: 3.61km or √13

Step-by-step explanation:

Given Data:

Sides of hexagon = 2km each

Distance walked by Ama = 5km

Therefore;

Let Ama starting position be the origin.

With this She would travel along two edges and then go halfway along a third.

Her new x- coordinate would be

= 1 + 2 + 1/2 = 7/2

Because she travels a distance of 5km which translates to 2 and half side of the Hexagon

= 2*1/2

= 1km. On her x-coordinates

For her y-coordinate we use same principles as x-coordinates

= √3 + 0 - √3/2

= √3/2

Therefore her distance walked

= √ ( (7/2)^2 + (√ 3/2)^2 )

= √ ( 49/4 + 3/4 )

= √ 13

= 3.61km

5 0

3 years ago

Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis

Mariana [72]

Answer:

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by $p_1, p_2,...,p_9$ , and all the sweet dishes by $q_1,q_2,...,q_5$ .

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with $q_1$ from sweet plates which are $(q_1, p_1), (q_1, p_2), ..., (q_1,p_9).$

There are 9 plates with $q_2$ from sweet plates which are $(q_2, p_1), (q_2, p_2), ..., (q_2,p_9).$

Similarly, there are 9 plated for each $q_3, q_4$ and $q_5.$

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

$= 9+9+9+9+9= 9\times5=45$

7 0

3 years ago

Determine the equations of the vertical and horizontal asymptotes if any for f(x)=x/x-5

Gelneren [198K]

Answer:

Horizontal Asymptote: x = 0

Vertical Asymptote: x = 5

Step-by-step explanation:

The function is given as $f(x)=\frac{x}{x-5}$

Horizontal asymptotes are found by equating numerator to 0 and solving for x

Vertical asymptotes are found by equating denominator to 0 and solving for x

Horizontal Asymptote:

x = 0

Vertical Asymptote:

x - 5 = 0

x = 5

5 0

3 years ago

Translate (3,2) to the left one unit. Then reflect the result over the y-axis. What are the coordinates of the final point?

OleMash [197]

Answer:

(-2, 2)

Step-by-step explanation:

Take point (3, 2) and first translate it left one unit. Now the point is (2, 2)

Now reflect it over the y-axis. Doing so keeps the y value the same, we have a vertical line of reflection, so we are only changing the distance to the y-axis, which is the x-value.

Our x value is 2 units away from the y axis, so its reflection will be 2 units away on the other side of the axis.

The new x value is -2, so the point is (-2, 2)

4 0

2 years ago

Find the slope of the line.

Anika [276]

The equation for working out the slope of a linear line is: $\frac{y_2 - y_1}{x_2 - x_1}$ , where x and y are the coordinate pairs.

So just pick two of the purple dots on the graph and fill in the equation.

I'll pick the dot that's (-4, 1) and (4, -7).

Now I just do $\frac{7 - 1}{4 - -4}$ , which is just $\frac{3}{4}$ when simplified.

6 0

3 years ago