1. The relationship between a distance in yards (y) and the same distance in miles (m) isdescribed by the equation y = 1760m.
a. Find measurements in yards and miles for distances by filling in the table.
distance measured in miles
distance measured in yards
1
5
3,520
17,600
b. Is there a proportional relationship between a measurement in yards and a
measurement in miles for the same distance? Explain why or why not.

Answers

Answer 1

Answer:

Therefore, the ratio of yards to miles is always constant, making it a proportional relationship.

What is equation?

An equation is a mathematical statement that shows the equality between two expressions. It typically includes one or more variables, which are unknowns that can take on different values. An equation can be solved by finding the value or values of the variable(s) that make both sides of the equation equal.

Here,

a. Using the equation y = 1760m, we can fill in the table as follows:

distance measured in miles distance measured in yards

1 1,760

5 8,800

3.520 6,195.2

17,600 30,800,000

b. Yes, there is a proportional relationship between a measurement in yards and a measurement in miles for the same distance. The equation y = 1760m shows that the number of yards is always 1760 times greater than the number of miles. This means that if you double the number of miles, the number of yards will also double, and if you triple the number of miles, the number of yards will triple, and so on.

To know more about equation,

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A rectangle consists of two squares. Each square has a perimeter of 16 cm.

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The rectangle would have a width of 32 cm and height of 16

What is the smallest multiple 2 and 5 have in common

Answers

10 is answer cause if you count by 2 and 5 you will get to ten

I need help answering this please

Answers

Answer: Choice D) ordered pair is not a solution to the second equation

We can see this by replacing x and y with 1 and -4 respectively

2x + y = 4

2*1 + y = 4 .... replace x with 1

2*1 + (-4) = 4 ... replace y with -4

2 - 4 = 4

-2 = 4 .... this equation is false because -2 and 4 are different values

The last equation being false means that the original equation 2x+y = 4 is also false when (x,y) = (1,-4). Therefore, this ordered pair is not a solution to the second equation 2x+y = 4

A solution to the system must make BOTH equations true simultaneously, not just one.

Answer:

Step-by-step explanation:

2x + y = 4

If you substitute x = 1, and y = -4, then

2(1) - 4 = 2 - 4 = -2 not 4

The following 3-D object is composed of identical cubes. The volume of the 3-D object is 56cm cubed. The surface area of the 3-D object is
a) 30cm squared
b) 60cm squared
c) 120cm squared
d) 144cm squared

Answers

There are 7 equal cubes by inspection that make up the shape.

Each cube has a volume of: (56 cm^3)/7 = 8 cm^3

To find side dimension of cube (knowing a cube is the 3D extrusion of a square meaning all sides are equal:

s = (side dimension) = (8 cm^3)^(1/3) = 2 cm

Also by inspection, there are 5 exposed faces on 6 of the 7 cubes. To find the total surface area, multiply number of exposed faces per cube by the surface area of a single face:

S.A. = 5(6)(2*2) = 120 cm^2

The correct answer is C). 120cm squared

Katie knew that 70 + 70 = 140. Explain how she can use this double to solve 70 + 80.

Answers

Answer:

see below

Step-by-step explanation:

70 + 70 = 140.

We know that 80 is 10 more than 70

the answer to 70+80 must be 10 more than the answer to 70+70 =140

so 140+10 = 150

Answer:

you would just add 10 to 140

What number solves the equation 11x + 7 = 73?

Answers

you do 73 -7=66 then do 66÷11=6 with make x=6

Answer:

x=6

Step-by-step explanation:

11x + 7 = 73

11x+7-7=73-7

11x=66

11x/11=66/11

x=6

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