Mr. Garcia wants to package 16 math books and
20 science books into boxes. Each box will have the
same number of each type of book, with none left
over. What is the greatest number of books he can
put in each box? How many boxes are needed?

Answer:

a.

Step-by-step explanation:

25x^2-15x+25

=5(5x^2-3x+5)

b.

14xy-7x

=7x(2y-1)

5.a.

7x-4=24

or,7x=24+4

or,7x=28

or,x=28/7

therefore x=4

b.

4y+4=y+16

or,4y-y=16-4

or,3y=12

or,y=12/3

therefore y=4

Step-by-step explanation:

q 5)

a) as it's an Isosceles triangle so both the given sides are equal

so, a/q

→ 7x - 4 = 24

→ 7x = 24 + 4 = 28

→ x = 28/7 = 4

→ x = 4

therefore, value of x is 4.

b) 4y + 4 = y + 16

→ 4y - y = 16 - 4

→ 3y = 12

→ y = 12/3 = 4

→ y = 4

therefore, value of y is 4.

hope this answer helps you dear!

Answer:

use bus stop method to calculate.

By the way answer is 760

Answer:

6.231 × 10³

= 6.231 × 1000

= 6231

Step-by-step explanation:

brainliest plz

Step-by-step explanation:

c³/c³ =1 .

hope this helps you.

Answer:

3 terms

Step-by-step explanation:

2x² - 3y + 5

= 2x² / - 3y / + 5

The 3 terms are 2x² , - 3y and + 5

Answer:

4.5927 x 10^-2 ?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Perimeter is the sum of all the lengths of its sides.

Perimeter of the figure

= 9x +8x -2 +17x -6 +5x +1

= 9x +8x +17x +5x -2 -6 +1

= 39x -7

Thus, the correct answer is option B.

Answer:

30

Step-by-step explanation:

If you subtract 30 - 12 you would get 18 and multiply by -3 would get you -54

-6 + x = -7

+6        +6        add 6 to both sides, 6's cancel out on the left.

________

x = -1, is the answer.

Hope this helps! Let me know if you have any other questions related to this problem. :)

Answer:

x= -1

Step-by-step explanation:

-6+x = -7

x = -7+6

x= -1

Answer:

D and E

Step-by-step explanation:

D) Δ ABC  , ΔDCB

AB = DC

BC = CB

AC =  DB

Side Side Side congruent.

E)Δ ABC  , ΔDCB

AB = DC

∠D = ∠A

AC = DB

Side Angle Side congruent.

Answer:

E

Step-by-step explanation:

When we write that 2 triangles are congruent we have to write the letters in order of their corresponding sides so ΔABC has the sides in order

AB, then BC, and then CA

the corresponding sides of the other triangle are

DC, then CB, then BD so the other triangle should be Δ DCB

because (AB≅DC, BC≅CB, CA≅BD)

In this case we eliminate the A,B,C answers.

D is also not correct because we do not know if <ABC is congruent with <DCB

E is correct because we are given the sides AB≅DC, and  CA≅BD and we know that  BC≅CB because of the reflexive property (a line segment is congruent with itself).

We have 3 ≅sides so we can use the Side-Side-Side Congruence Theorem

F is not correct because we have enough information.

Answer:

x

=

13

+

6

=

19

Step-by-step explanation:

this is so simple

Step-by-step explanation:

x=19 ayan na yung sagot huh

Answer:

C. 1.2009

Step-by-step explanation:

1.3240 + 1.4872 = 2.8112

4.0121 - 2.8112 = 1.2009 - C

Answer:

The answer is 7/15

Answer:

1/274

Step-by-step explanation:

Solution 1: Use a fraction simplifier calculator :)

Solution 2: divide by 2 first, then test to find 13, and your there.

Answer: There are two answers ( just for explanation ) 1. 0.0036496350364964    2. 274

Step-by-step explanation:

1. If we do 26 divided by 7124 answer is = 0.0036496350364964  ( check the pic-div1, div2, div3 )

2. If we do 7124 divided by 26 answer is = 274 (check pics-div4, div5)

Answer:

Step-by-step explanation:

(4^29)

Answer:

Step-by-step explanation:

we can use this algebraic identity:

[tex](a+b)^{3} =a^{3} +b^{3} +3ab(a+b)[/tex]

So,[tex](3a+4b)^{3} =(3a)^{3} +(4b)^{3}+3(3a)(4b)(3a+4b)[/tex]

=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +36ab(3a+4b)[/tex]

=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +108a^{2} b+144ab^{2}[/tex]

[tex](999)^{3}[/tex]=[tex](1000-1)^{3}[/tex]

Now, we can use the following identity:

[tex](a-b)^{3} =a^{3} -b^{3} -3ab(a-b)[/tex]

=[tex](1000-1)^{3} =1000^{3} -1^{3} -3(1000)(1)(1000-1)\\[/tex]

[tex](1000-1)^{3} =1,000,000,000-1-2,997,000[/tex]

[tex](1000-1)^{3} =997,002,999[/tex]

Answer:

Q'(-4,0), R'(-4,1), S'(0,0), T'(-3,-3)

Step-by-step explanation:

To solve this, what we need to do is find out what the translation is. So if we are translating those coordinates up two units, then that means we are basically adding two to the y value.

So that means that we will use the mapping (x,y)→(x,y+2)

Now we plug this in. We will start with Q:

Q(-4,-2)→Q'(-4,-2+2)→Q'(-4,0)

So when Q is translated two units up, we get Q'(-4,0).

Now we will do R:

R(-4,-1)→R'(-4,-1+2)→R'(-4,1)

So when R is translated two units up, we get R'(-4,1).

Now we will do S:

S(0,-2)→S'(0,-2+2)→S'(0,0)

So when S is translated two units up, we get S'(0,0).

Next we will do T:

T(-3,-5)→T'(-3,-5+2)→T'(-3,-3)

So when T is translated two units up, we get T'(-3,-3).

Answer:

Step-by-step explanation:

Hello  there !

    [tex]\boxed{\begin{array}{c|c} \boxed{\bf x} & \boxed{\bf y+2} \\ -4 & 0 \\-4&1\\0\!\!\!\!&0 \\ -3 &-3 \end {array }}[/tex]

Answer:

A,C,E

You can see that the temperature and heat energy is changing at those points than just sitting there like B and D

Answer:

B

Step-by-step explanation:

Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length

Answer:

1 no

2 I don't know

3 no

4 yes

5 2.5 is the slope

6 -0.5

7 no slope

Step-by-step explanation:

1 no because the y overlaps

2 not sure

3 it over laps

4 it never overlaps

5 y=2.5x-3

6 y=-0.5x+1

7 no slope it's just x=-2

for the 5-7 you can type that into demos and get more info

y=mx+b

m is the slope and b is y intercept

Answer:  b = 3

Step-by-step explanation:

9 − 27 = 3(2 − 8) + 2

9 − 27 = 6 − 24 + 2

9 − 27 = 6 − 24+ 2

9 − 27 = 8 − 24

9−27=8−24

9−27+27=8−24+27

9 = 8 + 3 ------Subtract 8b from both sides

b = 3

Answer:

40° and 50°

Step-by-step explanation:

90=(x+10)+x

90=2x+10

80=2x

40=x

Therefore the answer is,

40 and 40+10

40° and 50°

Answer:

50° and 40°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x then the other is x - 10

x + x - 10 = 90

2x - 10 = 90 ( add 10 to both sides )

2x = 100 ( divide both sides by 2 )

x = 50

x - 10 = 50 - 10 = 40

The angle measures are 50° and 40°

29/32

Step-by-step explanation:

ng x value 32wrffddfddfffryufcjhfddxhjhddxffdssdtt

Answer:

7y + t

Step-by-step explanation:

Answer: y=5x+b

Step-by-step explanation:

I used the slope intercept equation, which supplied me the solution.

m=5

b=0

True

A triangle with all the three sides equal equilateral

Hope this helped you- have a good day bro cya)

Answer:

Step-by-step explanation:

3. x^2 +3x=54

x^2 +3x -54 = 0

(x-9)(x+6) = 0

x = 9 and x = -6

4. X^2 - 10x + 21 [(x - 7)(x - 3)

Answer: 700

Step-by-step explanation:

Step-by-step explanation:

[tex] { - 100}^{1} [/tex]