MATHEMATICS HIGH SCHOOL

Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks? A. (8 × 5) + (10 × 5) = 40 + 50 = 90 minutes B. (8 × 8) + (10 × 10) = 64 + 100 = 164 minutes C. (8 × 10) + (10 × 10) = 80 + 100 = 180 minutes D. (8 × 14) + (10 × 14) = 112 + 140 = 252 minutes

Answers

Answer 1

Answer:

Answer:

(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes

Step-by-step explanation:

It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.

No of days between Monday to Friday = 5

No of days between Monday to Friday in 2 weeks = 10

We need to find how many minutes Jack reads his book in two weeks.

For 10 days, before school = (8 × 10) min = 80 minutes

For 10 days, after school = (10 × 10) min = 100 minutes

It means, total time will be :

T = (8 × 10) min + (10 × 10) min

T = 80 + 100

T = 180 minutes

Hence, the correct option is (C).

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Describe the shape resulting from a vertical, angled, and , horizontal cross section of a rectangular prism.

Answers

The shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram

What is a cross-section of an object?

A cross-section of a solid is a plane figure obtained by the intersection of that solid with a plane. The cross-section of an object therefore represents an infinitesimal "slice" of a solid, and may be different depending on the orientation of the slicing plane.

Given is a rectangular prism, we need to define its cross-section

The vertical and horizontal cross-section are fairly straight forward. They are simply mirror images of the outward showing faces.

The angled cross-section is a bit more complicated and there's a lengthy proof involved, but long story short, the angled cutting plane divides the 3D solid such that we have 2 sets of lines that have the same slope (if we consider a 2D view), which leads to 2 sets of parallel sides.

Hence, the shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram

Learn more about cross-section, click;

brainly.com/question/15541891

#SPJ6

For example, lets say:
L = 10
H = 6
W = 4

Imagine the shape is facing slightly towards your left
A left vertical cross section (perpendicular to the base) of the cuboid would result in a 10 by 6 rectangle
A right vertical cross section (perpendicular to the base) of the cuboid would result in a 6 by 4 rectangle
A horizontal cross section (parallel to the base) of the cuboid would result in a 10 by 4 rectangle
An angled cross section (through the middle) would also give a rectangle but the dimensions would be different. If the cut went from one '4' edge to the one in the opposite corner, the length of that would be found using Pythagoras
a² + b² = c²
6² + 10² = c²
36 + 100 = 136
√136 ≈ 11.66cm
11.66 by 4 rectangle

The shows that the resulting shape will always be a rectangle for these cross sections.
The only case in which it would not, would be if one of the faces of the cuboid was a square - in which case one of the cross sections would also be a square.

The length of a rectangle is twice its width. The perimeter of the rectangle is 24 inches. Write a system of equations in 2 variables. Use substitution to solve the problem

Answers

Let us assume the width of the rectangle = w
Let us assume the length of the rectangle = l
Then
l = 2w
Also
Perimeter of the rectangle = 2 (l + w)
24 = 2 (2w + w)
24 = 2 (3w)
24 = 6w
w = 24/6
= 4 inches
Now
The length of the rectangle = 2w
= 2 * 4 inches
= 8 inches
So the length of the rectangle is 8 inches and the width is 4 inches.

If the number of concerts held in a city is correlated to the number of local radio channels, what third variable might most likely be responsible for this correlation?

Answers

The most logical answer would be something like the number of music lovers in the city or something similar. That is because if there are many people loving music, then there are many stations, which means many concerts.

its c if your on plato

1.What letter can you draw on a coordinate plane to help you remember the order of the quadrants?2.Which type of variables are usually on the y-axis and represent output?

3.Which type of variables are usually on the x-axis and represent input?

4.Which type of slope is represented on a graph as a horizontal line?

5.Find the slope of 2x + 4y = 12

(and the pic is a different question)

And for the very last pic there is a passage to go with it so here it is!

10. A study was done to investigate the use of text messaging over time. The table shows the relationship between the number of years after 2005 and the number of text messages an average person sent monthly.

Answers

1. I would call quadrants i, ii, iii, iv as a, b, c, d

2.Which type of variables are usually on the y-axis and represent output?
they usually are the dependent variables, that is, they depend on the x value, such as velocity, price, income.

3.Which type of variables are usually on the x-axis and represent input?
those are the independent variables such as time, distance, price.

4.Which type of slope is represented on a graph as a horizontal line?
the slope of an horizontal line is zero.

5.Find the slope of 2x + 4y = 12
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4y = - 2x + 12
y = -(1/2)x + 3

hence the slope is -1/2

An equation _____ has one solution.
always
sometimes
never

Answers

I think the correct answer from the choices listed above is the second option. An equation sometimes has one solution. A system of equation can have one solution when the equations intersect at one point. Equations can also have two or more number of solutions.

Answer:

Sometimes

Step-by-step explanation:

hope this helps u my friend

When two faces of a three dimensional figure share a side they form this

Answers

Hi there! When two faces of a three dimensional figure they share a side they form a Edge. Not a square, it's a edge. A square isn't a three-dimensional figure. But on the other hand, a three dimensional figure would be an Edge.

Your answer is a Square.

Hope this helps.

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