Which of the following statements are always true about matrices?

Two matrices are equal if they are both square matrices.

Two matrices with different sizes cannot be equal.

A 2 x 3 matrix has 2 rows and 3 columns.

Two matrices are equal if their corresponding elements are equal.

Answer:

$1 bills = x and $5 bills = y

x+y = 17 - that expresses the number of bills.

1x + 5y = 53.

Solve the first for x in terms of y and substitute that into the second.

x = 17 - y

17 - y + 5y =53

17 +4y = 53

4y = 36

y = 9

Substitute that back into the first equation: x + 9 = 17 and then x = 8

Answer:

8700

Step-by-step explanation:

Answer:

m+n-p-q+m-n+p-q = 2m-2q

Answer: b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the absolute value of a negative number is positive because the absolute value of a number is the distance from 0 on the number line, and distance is positive. -1 is negative, and positive numbers are larger than negative numbers, so |-5/8| is automatically larger.

Answer:

J

Step-by-step explanation:

P: 312,000,000

Q: 81,000

R: 792,000

S: 26,500

Least to greatest: 26500(S), 81000(Q), 792000(R), 312000000(P)

S, Q, R, P

Answer: 80,000

Step-by-step explanation:

Plug in 50,000 where the x are and then just solve from there

The length of the diagonal of the room is approximately 21.2 feet when rounded to the nearest tenth.

Given information:

A square room in Denise's house measures 15 feet by 15 feet.

Since the room is square, the diagonal forms the hypotenuse of a right triangle whose legs are the sides of the square.

Each side of the square measures 15 feet, so we have:

d² = 15² + 15²

Simplifying:

d² = 2(15²)

d² = 2(225)

d² = 450

Taking the square root of both sides:

d ≈ 21.2

To learn more about the square;

https://brainly.com/question/28776767

#SPJ1

Answer:

[tex]-5<x<2[/tex]

Step-by-step explanation:

We have the inequality:

[tex]|2x+3|<7[/tex]

Use the definition of absolute value:

[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]

Let's evaluate each case individually.

Case 1)

We have:

[tex]2x+3<7[/tex]

Subtract 3 from both sides:

[tex]2x<4[/tex]

Divide both sides by 2:

[tex]x<2\\[/tex]

Case 2)

We have:

[tex]-(2x+3)<7[/tex]

Divide both sides by -1. Since we're dividing by a negative, flip our sign:

[tex]2x+3<-7[/tex]

Subtract 3 from both sides:

[tex]2x<-10[/tex]

Divide both sides by 2:

[tex]x<-5[/tex]

So, our solutions are, from least to greatest:

[tex]\{x|-5, 2\}[/tex]

We can see that our inequality is a greater than.

Remember, when dealing with absolute value:

When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.

When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.

Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.

Our lesser solution is -5. Our greater solution is 2.

So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:

[tex]-5<x<2[/tex]

And we're done!

Answer: ok i dont really know but ask your teacher for help

Step-by-step explanation:

Answer:

385

Step-by-step explanation:

Answer:

The lines are straight the lines are at a 385 angle

Step-by-step explanation:

The reason they are straight lines is they are at a perfectly straight not curving to the side or bending like E and F how they have a 45 dgree angle I assume.

I not really sure if its right but umm if I am I hope this helps you out.

1) The square root of 8 is the least, since 3^2 equals 9, and 8 is less than 9, so its the least.

2) Then the cube root of 27, because 3 cubed is equal to 27

3) Finally, pi is the largest since it equals 3.142.

Good luck with your grades.

root 8 < pi < cube root 27

Answer:

-71v+72

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Answer:

9v-8.(10v-9)

result:72-71v

Answer:

−  10 /61

​or  

=−6.10000

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

PEMDAS

P = parenthasees

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

this is the order

so first

4x + 8 -2x = 4x - 12

No exponents

no Multiplication

No division

Addition

So for this, we have to subtract the 4x on both sides to get

x + 8 - 2x = -12

then do -8

x - 2x = -20

then

-x = -20

x = 20

Answer:

x=10

Step-by-step explanation:

*The eight is negative and not positive. The answer is x=10

It would be 3,321. 2040 times 1.35 equals 3,321.

Answer:

C. 15m

Step-by-step explanation:

if ABCD and EFGH are congruent that means that they are equivalent to each other. If side FG is the base of that trapizoid, and side CD is the base with the measurement of 15m, then we are left to believe that side FG is 15m

Answer:

5.4

Step-by-step explanation:

using pythagoras theorem

a²+b²=c²

5²+2²=c²

c²= 25+4

c²=29

[tex] \sqrt{c ^{2} } = \sqrt{29} [/tex]

c=5.4

Answer:

Step-by-step explanation:

a). Since starting point of the line is (0, 50),

    Therefore, I started with the saving of $50.

b). Since endpoint of the segment is (5, 175),

    Money with me after 5 weeks will be $175.

c). Let the equation of the line given in the graph is,

    y - y' = m(x - x')

    Where (x', y') is a point lying on the graph.

    And 'm' is the slope of the line.

    Slope of the line = [tex]\frac{175-50}{5-0}[/tex]

                             m = [tex]\frac{125}{5}[/tex]

                             m = 25

     Since, the line passes through (0, 50),

     y - 50 = 25(x - 0)

     y = 25x + 50

     y = 25x + 50

     For x = 6,

     y = 25×6 + 50 = 200

     For x = 7,

     y = 25×7 + 50 = 225

     For x = 8,

     y = 25×8 + 50 =250

d). For x = 10 weeks,

    y = 25×10 + 50 = $300

e). For x = 15 weeks

     y = 25×15 + 50 = $425

f). For x = 50 weeks,

     y = 25×50 + 50 = $1300

g). Equation of the line is,

     y = 25x + 50

Answer:

7

Step-by-step explanation:

8x - 3x = 35

5x = 35

x = 7

Answer:

7

8x - x+x+x =35

8x-3x=35

5x=35

x=7

Answer:

3 hours

Step-by-step explanation:

If a car is traveling 50 miles an a hour, then divide 150 into 3, we are using 3 because it is 3 hours.

Answer:it will take the car 3 hours

Answer:

Yes, it should work.

Step-by-step explanation:

DC=AB  (because it is a rectangle and they are parallel)

DA=CB (because it is a rectangle and they are parallel)

DB=AC (given)

Those are all sides and gives enough information for us to know that it is congruent.

Answer:

yes

Step-by-step explanation:

Answer: no solutions

Step-by-step explanation:

The five axioms are:

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

Answer:

AXIOMS AND POSTULATES OF EUCLID

Step-by-step explanation:

AXIOMS

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

POSTULATES

To draw a straight line from any point to any point.

To produce a finite straight line continuously in a straight line.

To describe a circle with any center and distance.

That all right angles are equal to one another.

That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*

Answer:

A, B, E

Step-by-step explanation:

A is true since the sum of the measures of two consecutive angles of a parallelogram is 180 deg.

B is true since opposite angles of a parallelogram are congruent.

C is false since that equation gives x = -1, but x cannot equal -1 since that would make angle 3x - 12 have a negative measure.

D is false for the same reason as choice C.

E is true since x = 20 is the solution of the equations in choices A and B.

Answer:

500 grams

Step-by-step explanation:

3,200-2,700=500