Evaluate the expression when m=−6. <br><br> m−(−8)=

How to find the reciprocal of a mixed fraction

Digiron [165]

First turn into a improper fraction, then just simply flip it over. Here's an example: 2 1/3 = 7/3 So your reciprocal is 3/7

3 0

3 years ago

Read 2 more answers

At the movie theatre, child admission is and adult admission is . On Wednesday, tickets were sold for a total sales of . How man

kirill [66]

The child tickets were sold that day is 82.

Given the cost of child admission $6.30 and the cost of adult admission $9.80 and on Wednesday 144 tickets were sold for a total sales of $1124.20.

Let the child tickets are x and adult tickets are y.

On Monday, 144 tickets were sold for a total sales.

x+y=144 ........(1)

Total sales = $1124.20

Need to find the child tickets sold on Wednesday.

Total sales = 6.30x+9.80y

Total sales = $1124.20

So,6.30x+9.80y=1124.20 .......(2)

Find the value of y from equation (1), we get

x+y-x=144-x

y=144-x

Now, we will substitute the value of y in equation (2) to find the value of x, we get

6.30x+9.80(144-x)=1124.20

Apply the distributive property that is a(b+c)=ab+ac, we get

6.30x+9.80×144-9.80x=1124.20

6.30x+1411.2-9.80x=1124.20

Combine the variable terms on left side, we get

1411.2-3.5x=1124.20

subtract 1411.2 from both sides, we get

1411.2-3.5x-1411.2=1124.20-1411.2

-3.5x=-287

Divide both sides with -3.5x, we get

-3.5x/(-3.5)=-287/(-3.5)

x=82

Therefore, 82 child tickets were sold on Wednesday when cost of child admission $6.30 and the cost of adult admission $9.80.

Learn more about variable from here brainly.com/question/14786534

#SPJ4

8 0

2 years ago

Find the surface area of the rectangular pyramid below.

crimeas [40]

Answer:

Step-by-step explanation:

if you multiply 17x50 you get 850

next multiply 16x20 to get 320

last you add both of them to get your total of 1,170

7 0

4 years ago

Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an

Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0

4 years ago

What is the slope of a line parallel to the line 4x-7y=-14?

Sav [38]

We have 7y = 4x + 14;

Then, y = (4/7)x + 2;

The slope of this line is 4/7;

Because another line is parallel with the first one, the chosen slope is 4/7.

3 0

3 years ago

Evaluate the expression when m=−6. m−(−8)=