one student we wrote the expression 17 * 102 as 17(100+2). then she simplified to get the expression 1700+34.​

One Student We Wrote The Expression 17 * 102 As 17(100+2). Then She Simplified To Get The Expression

Answers

Answer 1

Answer:

Step-by-step explanation:

One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.

a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?

Yes, they are.

Check your answer:

17 * 102 = 1734

17(100 + 2)

17(100) + 17 * 2

1700 + 34 = 1734

1700 + 34 = 1734

b. What property of numbers does this demonstrate?

This expression demonstrates the commutative and distributive properties of numbers.

Hope this helps!

One Student We Wrote The Expression 17 * 102 As 17(100+2). Then She Simplified To Get The Expression

Related Questions

Explain why the fractions in question number 2 are equivalent?

Answers

Answer:

its 2/6ths its only multiplied by 2

Step-by-step explanation:


Find the AREA of the figure. (Sides meet at right angles.)

Answers

Answer:

47

Step-by-step explanation:

3 x 4 = 12

7 x 5 = 35

35 + 12 = 47

Find the area. :)
please and thx

Answers

Answer:

132 cm²

Step-by-step explanation:

To find the area of the figure, start by dividing the figure into smaller rectangles.

Area of figure

= area of shaded rectangle +area of unshaded rectangle

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}[/tex]

Shaded rectangle

Length= 4 cm

Breadth= 6 cm

Area

= 4(6)

= 24 cm²

Unshaded rectangle

Length= 9 cm

Breadth= 12 cm

Area

= 9(12)

= 108 cm²

After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.

Area of figure

= 108 +24

= 132 cm²

What is the solution set of the quadratic inequality f

Answers

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

Please Help! In a proof to show two triangles are congruent if a given is PR ⟂ CK, which of the following statements most likely will be used within the proof?

Answers

Answer: PR and CK form right angles.

Step-by-step explanation:

By definition, perpendicular lines form right angles, and vice versa (in other words, lines that form right angles are perpendicular). Since we need to show PR is perpendicular to CK, we must first show that PR and CK form right angles.

let f(x)=3x+4 and g(x)=2x-5 find (f+g)(x)

Answers

Answer:

(f+g)(x) = 5x - 1

Step-by-step explanation:

Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)

f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)

(f+g)(x) =

f(x) + g(x)

3x + 4 + 2x - 5 (combine like terms)

5x - 1

Therefore, (f+g)(x) = 5x - 1

Hope this helps!

Answer:

5x -1

Step-by-step explanation:

(3x + 4) + (2x - 5) = 3x + 4 + 2x - 5 = 3x + 2x + 4 - 5

5x - 1

WHAT IS THE AVERAGE NUMBER OF POINTS THAT CHANGED HANDS

Answers

Could you supply the picture as well?

In creating a new scale for the mercury thermometer, anders celsius initially set the boiling point of water at _____. a. 0° b. 32° c. 100° d. 273°

Answers

Answer: 100 °

Step-by-step explanation:

Hannah travels 6 times as many minutes to work as Raoul does. Together,
they travel for 63 minutes. How many minutes does Hannah travel? Draw
a model and write an equation to solve.

Answers

Answer:

hannah 54

raoul 9

Step-by-step explanation:

hannah _ 6x

raoul _ x

6x+x=63

7x=63

x=9

hannah _ 6×9=54

raoul _ 9

A surveyor determines that the angle of elevation between herself and the top of an observation tower is 60^o. She determines that the distance between her position and the base of the tower is 20 meters. Approximately how tall is the tower?

Answers

Step by step explanation

The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?

Guys help me please I really don’t understand this

Answers

I will give some hints. We know most values, we have to solve for y as that is the remaining amount.

y = We have to find.

a = 550 mg (She takes this much)

r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)

t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.

I hope this helps!

is this right? please tell me :) asap!!

Answers

Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

how do you find the circumference, radius, and diameter in area?

Answers

Answer:

Sample Respond: Let's assume it's equal to 14 cm. Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm . You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm² . Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm .

Step-by-step explanation:

I got 100% on the quiz

BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

Step-by-step explanation:

The answer should be 578mi²

what are the possible values of remainder r, when a positive integer 'a' is divided by 3​

Answers

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

Which trig ratio will be helpful in finding the missing side length sin(24)

Answers

The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have a right-angle triangle in the figure in which:

Length of the hypotenuse = x unit

Length of the side opposite to the angle = 12

And the angle is given between sides adjacent to the angle to the hypotenuse = 24°

We know the:

[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]

[tex]\rm sin24 = \frac{12}{x}[/tex]

[tex]\rm x = \frac{12}{sin24}[/tex]

x = 29.50 units

Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

Know more about trigonometry here:

brainly.com/question/26719838

I need help on this question I’m confused I think a &b are the same and c &d are different but I’m not to sure !

Answers

Answer:  They're all the same

====================================================

Reason:

[tex]2^6[/tex] means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say

[tex]2^6 = (2*2*2)*(2*2*2)[/tex]

The parenthesis are optional, but I find they're handy to count the '2's easier.

----------------

Now notice that

[tex]2^3 = 2*2*2[/tex]

So,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\[/tex]

The last step is possible because we have two copies of [tex]2^3[/tex] multiplied together.

This shows that choice C is equivalent to A and B.

-------------------

Lastly,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\[/tex]

The jump to the last step is possible because we have three copies of [tex]2^2[/tex] multiplied together.

This shows choice D is equivalent to the others.

All four expressions are the same.

They represent different ways to say the same number. That number being 64.

Find the distance between the two points in simplest radical form.

Answers

Answer:

  13 units

Step-by-step explanation:

A right triangle can be drawn using the grid lines for legs and the line segment between the two points as the hypotenuse. You can count grid squares or subtract coordinates to find the vertical leg is 12 units and the horizontal leg is 5 units. The Pythagorean theorem tells you the length of the hypotenuse (distance between the points) is ...

  d² = 12² +5² = 144 +25 = 169

  d = √169 = 13

The distance between the two points is 13 units.

_____

Additional comment

This set of dimensions, {5, 12, 13}, is one of several "Pythagorean triples" that often show up in math problems. Other common triples are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, and multiples of these.

Problem 2
What is the probability of pulling a heart, replacing it, pulling a club, replacing it, pulling a diamond,
replacing it, then pulling a spade, all from a standard deck?.

Answers

Answer:

subtract one for heart drawn without replacement leaves 51 cards on which thirteen are clubs. probability of drawing club 13/51. After drawing a heart as first card there are 51 cards left and 13 of them are clubs. So the probability on drawing a club then equals 13/51

Can the GCF of a pair of numbers ever equal one of the numbers? Explain how you know

Answers

Answer:

It can

Step-by-step explanation:

For example, the GCF of 44 and 22 is 22.

Yes. If one number which is small is the factor of other number, then the GCF will be the smaller number
Eg: 13, 26
13 is the factor of 26. 26= 13*2
So, GCF of 13 and 26 = 13

Which effect did World War II have on the United States?

a) The United States became the richest, most powerful nation in the world.


b) The war caused the United States to enter another severe depression.


c) The war had little effect on the United States.


d) The United States became second in power only to England.

Answers

Answer:

the anwer is A cause jobs and industials had 96 percent and corperate profits after taxes doubled

Answer:

a

Step-by-step explanation:

world War 2 did in fact cause the United States to become the richest and most powerful

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

|323

Answers

Answer:

its 323 so you were right :) if 323 is your answer lol

Step-by-step explanation:

abs(T-50)=323 Where T is in degrees Kelvin.

abs () means absolute value.

So T=323 plus or minus 50

Each of the two numbers were increased by 10. How did the average of the two numbers change?​

Answers

Answer:

Average increased by 10

Step-by-step explanation:

Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10

How many solutions are there?

Answers

Answer:

no solution

Step-by-step explanation:

Solve:

6(2k + 1) = 12k + 1

Expand brackets:

⇒  12k + 6 = 12k + 1

Subtract 12k from both sides:

⇒  6 = 1

As 6 ≠ 1 there is no solution

Answer:

No solution

Step-by-step explanation:

Simplify the L.H.S and the R.H.S

⇒ [tex]6(2k + 1) = 12k + 1[/tex]

⇒ [tex]12k + 6 = 12k + 1[/tex]

Cancel out the "12k"

⇒ [tex]12k + 6 = 12k + 1[/tex]

⇒ [tex]6 = 1 (\text{False})[/tex]

Henceforth, this equation has no solution.

Given the function h of x equals 8 times the cube root of x minus 6 end root plus 16, what is the x-intercept of the function?

–6
–2
2
16

Answers

The x-intercept of the function h(x) is when the function h(x) = 0

The x-intercept of the function is -2

How to determine the x-intercept?

From the question, the function is given as:

[tex]h(x) = 8 * \sqrt[3]{x - 6} + 16[/tex]

Set the function h(x) to 0, to calculate the x-intercept

[tex]8 * \sqrt[3]{x - 6} + 16= 0[/tex]

Subtract 16 from both sides of the equation

[tex]8 * \sqrt[3]{x - 6} +=-16[/tex]

Divide through by 8

[tex]\sqrt[3]{x - 6} =-2[/tex]

Take the cube of both sides

[tex]x - 6 =-8[/tex]

Add 6 to both sides

[tex]x =-2[/tex]

Hence, the x-intercept of the function is -2

Read more about x-intercept at:

https://brainly.com/question/3951754

Answer:

-2

Step-by-step explanation:

The person above me explained it perfectly! Also, I got this answer correct on my test.

ZA and ZB are vertical angles. If mA = (2x - 4)º and mZB = (4x - 30),
then find the value of x.

Answers

Answer:

x=13

Step-by-step explanation:

2x-4 = 4x - 30

-4 = 2x - 30

26 = 2x

x = 13

100 BRAINLY POINTS!!!!

The cost, y, in dollars, to purchase x school T-shirts includes a one-time setup fee, plus a charge per T-shirt. The cost is modeled with the linear function y = 6.67x + 35. What is the cost to purchase each T-shirt after the beginning setup cost is paid?

A. $41.67

B. $35.00

C. $28.33

D. $6.67

PLEASE HELP CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

$6.67 or D IS THE COST OF EACH TSHIRT!

Let's check our given function.

y=6.67x+35

Compare to y=mx+b(Slope intercept)

Slope=m=6.67Y intercept=b=35

So beginning set up is fixed i.e 35 .

per shirt cost the rate of change which is slope

option D is correct

Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets marked down. During the sale, rashguards sell for $5 less than full price. Miguel purchases 3 rashguards and pays a total of $60.
Which equation can you use to find how much money, f, each rashguard costs at full price?
How much does each rashguard cost at full price?

Answers

Original price be x

Discount price be y

The equation is

y=x-5

So

y=3(x-5)60=3x-153x=75x=25$

Answer:

3(f - 5) = 60

$25

Step-by-step explanation:

Let f = full price of rash-guard

Given:

during the sale, rash-guards sell for $5 less than full pricecost of 3 rash-guards during sale is $60

Therefore, the equation you can use to find how much money each rash-guard costs at full price is:

3(f - 5) = 60

To calculate the full price of the rash-guard, solve the equation for f:

⇒ 3(f - 5) = 60

Expand:

⇒ 3f - 15 = 60

Add 15 to both sides:

⇒ 3f = 75

Divide both sides by 3:

⇒ f = 25

Therefore, the full price of each rash-guard is $25.

A golfer hits from a tee for a 300-yard hole. Her drive carries 275 yards but it’s 13 degrees off the line from the hole. How much farther must the golfer now hit the ball to reach the hole?

Answers

By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.

How to find the distance?

Basically, we need to find the length of the missing side of the shown triangle.

So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.

Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:

a^2 = b^2 + c^2 - 2bc*cos(A).

In this case we define:

b = 300ydc = 275 ydA = 13°

Replacing that we get:

a^2 =  (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2

a = √(4,853.94yd^2) = 69.7 yd

So the distance between the golfer and the hole is 69.7 yd.

If you want to learn more about triangles, you can read:

https://brainly.com/question/2217700

The ratio of green marbles to yellow marbles is
4 green marbles to 6 yellow marbles.
If there are 2 green marbles,
how many yellow marbles are there?

Answers

Answer:

There are three yellow marbles.

Step-by-step explanation:

The way i figure it is since they are both even numbers divide them both by two and you have your answer.

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