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3 years ago

What is the answer to 7+y<12

Mathematics

1 answer:

LiRa [457]3 years ago

3 0

Step-by-step explanation:

7 + y < 12 it can also be written as

7 + y = 12

y = 12 - 7

y = 5

y < 5

Hope it will help :)

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A train travels at a constant rate of 45 miles per hour.

givi [52]

A. d=45t
b. 112.5 miles. 112.5=45•2.5

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3 years ago

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Solve y = −23(x + 9) + 4 for x when y = 0.

Vlad [161]

Answer:

x = -203/23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

y = -23(x + 9) + 4

y = 0

Step 2: Solve for x

Substitute in y: 0 = -23(x + 9) + 4
[Subtraction Property of Equality] Subtract 4 on both sides: -4 = -23(x + 9)
[Division Property of Equality] Divide -23 on both sides: 4/23 = x + 9
[Subtraction Property of Equality] Subtract 9 on both sides: -203/23 = x
Rewrite: x = -203/23

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3 years ago

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JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n

Dvinal [7]

In the problem of insufficient data quantities. I can get a general solution.We know that tangent to a circle is perpendicular to the radius at the point of tangency. It's mean that triangles LJM and LJK are rights.

Let angle JLK like X.

So, angle JLM=61-x.

And it's mean that by using right triangle trigonometry

Radius MJ = LM*cos(61-X)

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3 years ago

Choose the correct simplification of a5b6/a4b4

NemiM [27]

The Answer is a b¹⁰

Simplify the following:
(a^5 b^6 b^4)/a^4

Combine powers. (a^5 b^6 b^4)/a^4 = a^(5 - 4) b^(6 + 4):
a^(5 - 4) b^(6 + 4)

5 - 4 = 1:
a b^(6 + 4)

6 + 4 = 10:
Answer: a b^10

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3 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 16 miles per hou

Verizon [17]

We'll use variables to represent the speeds of the eastbound and westbound trains.

x will represent the speed of the eastbound train.
y will represent the speed of the westbound train.

The eastbound train is 16 mph faster than the westbound train. An equation can be made from this:

$x - y = 16$

Subtraction is used, because it represents the difference in distances between the two trains if they travel the same direction.

After 4 hours, the trains are 800 miles apart. An equation can be made from this:

$4x + 4y = 800$

Addition is used, because the trains are heading in opposite directions, which means their distances from the starting point are added together.

Set the two equations up vertically:

$x - y = 16$
$4x + 4y = 800$

We will use elimination to solve for x.

Multiply the entire first equation by 4 so that the coefficients for y will be opposite numbers:

$(x - y = 16) \times 4 = 4x - 4y = 64$

$4x - 4y = 64$
$4x + 4y = 800$

Combine the two equations together to cancel out y:

$8x = 864$

Divide both sides by 8 to get x by itself:

$x = 108$

The speed of the eastbound train is 108 mph.

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3 years ago