Solve. Explain your answers in the box below.

a. Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error.



600×300
6 hundreds × 3 hundreds =18 hundreds

600×300=1,800


b. Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.

Answer:

15/13

Step-by-step explanation:

1 1/12=13/12

5/4 divided by 13/12= 5/4*12/13

which cross simplifies to

5/1*3/13

which multiplies to 15/13

[tex]\frac{15}{13}[/tex] will be the improper fraction.

  We have to find the improper fraction when [tex]\frac{5}{4}[/tex] is divided by [tex]1\frac{1}{12}[/tex].

Convert the mixed number [tex]1\frac{1}{12}[/tex] to a improper fraction first.

[tex]1\frac{1}{12}=\frac{12(1)+1}{12}[/tex]

      [tex]=\frac{13}{12}[/tex]

Now divide [tex]\frac{5}{4}[/tex] by [tex]\frac{13}{12}[/tex],

[tex]\frac{\frac{5}{4}}{\frac{13}{12}}=\frac{5}{4}\times \frac{12}{13}[/tex]

    [tex]=\frac{15}{13}[/tex]

  Therefore, improper fraction [tex]\frac{15}{13}[/tex] will be the answer.

Learn more,

https://brainly.com/question/17724027

Answer:

Its obtuse

Step-by-step explanation:

one angel is above 90 degrees.

Answer: um whatvgrade is dis for

Step-by-step explanation:

Answer:

Sterling made the correct statement.

Step-by-step explanation:

Feel free to give brainliest.

Have an outstanding day!

Answer:

Step-by-step explanation:

Permutation had to do with arrangement.

Arranging r people out of the pool of n people can be done in nPr number of ways

nPr = n!/(n-r)!

From the question, we want to know how many seating arrangements are possible if 4 people out of a group of 14 want to sit on the park bench, the can be done in 14P3 number of Ways

14P3 = 14!/(14-3)!

14P3 = 14!/11!

14P3 = 14×13×12×11!/11!

14P3 = 14×13×12

14P3 = 2184 ways

This means that they can be arranged in 2184 number of ways

Answer:

15/12 - 4/12

Step-by-step explanation:

1 1/4 = 5/4

5/4•3 = 15/12

1/3 = 4/12

Answer:

Step-by-step explanation:

Given the height of the discus can be modeled by the equation y=−16x ^2 +32x+4, where y represents the  height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.

Velocity v = dy/dx = 0

dy/dx = -32x + 32

0 = -32x + 32

32x = 32

x = 1 secs

Hence it will take the discus 1 secs to reach its maximum height

Answer:

no solution

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

40%x = 10

40/100 x=10

x=10* 100/40

x = 25

Answer: I would answer but I can’t read the picture. I’m so sorry.

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

Vertical angles theorem;

"Two vertically opposite angles formed by the intersection of two straight lines are congruent"

By this theorem,

If ∠1 and ∠2 are the vertical angles                            Given

∠1 ≅ ∠2                                                                Vertical angles theorem

Therefore, Option (4) is the correct option.

The reason for the step taken from the proof is vertical angles theorem.

Vertically opposite angles are equals.

Therefore,

if ∠1 and 2 are vertical angles, they are equal.

This means the angles are congruent and are the same.

Therefore,

∠1 ≅ ∠2 follows the vertical angle theorem

read more: https://brainly.com/question/17702030?referrer=searchResults

Answer:

Vamos a resolver la ecuación paso a paso.

32x+4=642x−1

Step-by-step explanation:

Resolver el exponente.

32x+4=642x−1

log(32x+4)=log(642x−1)(Sacar el logaritmo de ambos lados.)

(x+4)*(log(32))=(2x−1)*(log(64))

x+4=(

log(64)

log(32)

)*(2x−1)

x+4=1.2*(2x−1)

x+4=2.4x−1.2(Simplificar ambos lados de la ecuación)

x+4−2.4x=2.4x−1.2−2.4x(Restar 2.4x a ambos lados)

−1.4x+4=−1.2

−1.4x+4−4=−1.2−4(Restar 4 a ambos lados)

−1.4x=−5.2

−1.4x

−1.4

=

−5.2

−1.4

(Dividir ambos lados por -1.4)

x=3.714286

Solución:

x=3.714286

Answer:

-3

Step-by-step explanation:

or -3x if youre writing an equation

Answer:

so if you use a calculater the answer will be 1.455192×10

​25 or if not simplify 5^36

​​

​​

Step-by-step explanation:

When you take a glass of milk and stir in some luxurious liquid chocolate you have a delicous substance called chocolate milk. Plain milk is boring and has no personality whereas chocolate milk is fun, delicous, colorful. Plain milk is like so last year!

Answer:

0, 14

Step-by-step explanation:

-2, is 8 away from 6, so you add 8 to 6 to reflect it and get 14

Answer:

When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Step-by-step explanation:

Answer:

example: 1x+2x+5y+3y

if you combine like terms you would be combining anything with a x to other x's and anything with a y to other y's.. etc..

the example combined would be: 3x+8y

hope I was able to help

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the answer is a i think

Answer:

A

Step-by-step explanation:

I'm pretty sure the answer is a

Answer: 17

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable ( y for 4.5 as in the question ) and perform the arithmetic operations ( then add 4.5 + 8 )

4.5 + 8 = 12.5

HOPE THIS HELPED

Answer:

m < 1 = 78 - 48 = 30 .......

Answer:

I think the answer is 10.

Answer:

% means over 100, and of means times so ,

60/100×80

4800/100

48

Step-by-step explanation:

I hope this helps, please give me brainliest

Answer:

[tex]CAB = 42[/tex]

Step-by-step explanation:

Given

[tex]CAB = 2x + 30[/tex]

[tex]DAB = 5x + 12[/tex]

Bisector: AB

Required

Find CAB

Since AB bisects CAD, then

[tex]CAB = DAB[/tex]

This is so because AB divides CAD into two equal parts which are CAB and DAB

[tex]CAB = DAB[/tex]

Substitute values for CAB and DAB

[tex]2x + 30 = 5x + 12[/tex]

Collect Like Terms

[tex]2x- 5x = 12 - 30[/tex]

[tex]-3x = -18[/tex]

Divide both sides by -3

[tex]x = 6[/tex]

To solve for CAB, we simply substitute 6 for x in [tex]CAB = 2x + 30[/tex]

[tex]CAB = 2 * 6 + 30[/tex]

[tex]CAB = 12 + 30[/tex]

[tex]CAB = 42[/tex]

By solving a quadratic equation, we will see that the width is 1.4 inches.

For a rectangle of width W and length L, the surface area is:

A = W*L

In this case, the length will be the length of the picture plus twice the width of the frame, and same for the width, then if we define x as the width of the frame we have:

L = 8in + 2x

W = 6in + 2x

Then the area equation is:

A = (8in + 2x)*(6in + 2x)

Here we know that the area is 95.04 square inches, then we can write:

95.04 in² = (8in + 2x)*(6in + 2x)

Now we need to solve this for x.

95.04 in² = 48 in² + 4x² + (28in)*x

This is a quadratic equation:

48 in² + 4x² + (28in)*x - 95.04 in² = 0

4x² + (28in)*x - 47.04 in² = 0

The solutions are given by Bhaskara's formula:

[tex]x = \frac{-28 \pm \sqrt{(28)^2 - 4*4*(-47.04)} }{2*4} \\\\x = \frac{-28 \pm 39.2 }{8}[/tex]

So there are two solutions, we only care for the positive one, which is:

x = (-28+ 39.2)/8 = 1.4

This means that the width of the frame is 1.4 inches.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answer:

multiplying by 20 im pretty sure

Answer:

multiplying by 20

Hope this helps plz hit the crown :D

Answer:

y = 53

x = 44

Step-by-step explanation:

3x - 5 and 127 are vertical angles so they are equal

set the equation to 3x - 5 = 127

you should get x = 44

y and 127 are supplementary angles so the equation for y is 180 - 127

you get y = 53

Answer:

y = 53

x = 44

Step-by-step explanation:

Answer:

x>7 or x<1

Step-by-step explanation:

Either 2x-8>6 or 2x-8<-6

Possiblity #1

2x-8>6

Add 8 to both sides

2x>14

Divide both sides by 2

Get x>7

Possibility #2

2-8>-6

Add 8 to both sides

2x<2

Divide both sides by 2

x<1

Answer:

The answer is 1.25 pounds equally.