Thao says she can find the answer to 8 x 90 by halving the 8 and doubling the 90 again and again until she gets down to 1 x 720. Is she correct?
Prove your answer.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

4*180

2*360

1*720

8*90 = 720

Answer 2

Yes, halving the denominator and doubling the numerator gives the same results so she is correct.

What is numerator and  denominator?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It shows how many parts have been taken out of the whole. The numerical number that comes before the sum of all the factors is the denominator of a fraction.

Let's consider a multiplication a × b

If we do half of a and double of b

Then,

a/2 × 2b = a × b

Again,

(a/2)/2 × 2(2b) = a × b

So it will remain the same.

So similarly  8 x 90 will also remain the same.

Hence "Yes, halving the denominator and doubling the numerator gives the same results so she is correct".

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Related Questions

Beth has $100 to invest. She can invest this into a 7% simple interest account or into an account with 5% interest compounded quarterly. The table shows the amount that would be in each account over the first five years. Which of the following statements are true about the growth shown in the table? The simple interest shows linear growth because it is adding a constant amount. The simple interest shows exponential growth because it is adding a constant amount. The compound interest shows linear growth because it is multiplying by a constant amount. The compound interest shows exponential growth because it is multiplying by a constant amount.

Answers

Answer:

The answer is a and d

Step-by-step explanation:

The simple interest shows linear growth because it is adding a constant amount.

The compound interest shows exponential growth because it is multiplying by a constant amount.

What is simple interest?

"Simple interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time."

What is compound interest?

"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."

Here the principle amount is $100.

Simple interest rate is 7%.

Compound interest is 5% compounded quarterly.

After 5 years, with simple interest, the amount will be

= $[100 + (100 × 7 × 5)/100]

= $[100 + 35]

The simple interest shows linear growth because it is adding a constant amount.

After 5 years, with compound interest, the amount will be

= $[100(1 + 0.05/4)⁴⁽⁵⁾]

= $[100(1 + 0.0125)²⁰]

= $[100(1.0125)²⁰]

Therefore, the compound interest shows exponential growth because it is multiplying by a constant amount.

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A sample of size 20 from a normal distribution has sample mean 3.5 and sample variance 14.75. Find 90% confidence intervals for the variance and standard deviation of the distribution.

Answers

Answer:

Variance =9.2983, 27.6927

Standard deviation = 3.0493, 5.2624

Step-by-step explanation:

n = 20

S = 14.75

X² = chisquare

N-1 = degree of freedom

Alpha = 0.1

Alpha/2 = 0.1/2 = 0.05

1-0.1/2 = 0.95

Using statistics table

X² 19,0.05 = 30.14

X² 19, 0.95 = 10.12

A. 19(14.75)/30.14 , 19(14 75)/10.12

= 9.2983, 27.6927 for the variance of the population

B. Standard deviation = square root of variance

= √9.2983, √27.6927

= 3.0493, 5.2624

Please use attachment for better understanding

help me with all these questions please

Answers

usa a caucula ciêntifica

Helpppsppspspspspsp plssss

Answers

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

Find the least common multiple (LCM) for the pair of
numbers 6 and 18.

Answers

Answer:

LCM = 24

Step-by-step explanation:

If r = .15, this indicates
strong negative correlation.
strong positive correlation.
weak negative correlation.
weak positive correlation.

Answers

Answer:

Weak Positive Correlation

Step-by-step explanation:

The r value of 0.15 indicates a weak positive correlation value because a weak correlation value is less than 0.3, anything between 0.3 and 0.7 are a moderate correlation, and anything greater than 0.7 would be a string correlation. So, since this is less than 0.3, this is a weak correlation. A positive correlation is a positive value and a negative correlation value is a negative number, so this would be a weak positive correlation value.

A value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables.

As per the question, the value of r is positive (greater than 0), which suggests a positive correlation between the variables.

However, the value of 0.15 is close to 0 and relatively small, indicating a weak correlation.

This means that there is a weak tendency for the variables to increase or decrease together.

Thus, a value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables to increase or decrease together, but the relationship is not strong.

To learn more about the correlation click here:

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Plz hurry.....................

Answers

Answer:

figure of cuboid

volume of cuboid=b×h

Step-by-step explanation:

(10×3×4)in cube=120incube

20 POINTS for that someone can give me just the anwers

Answers

Answer:

Solutions for x are 2, 1/3

Everything in the second image is correct except you forgot to put 2 for c in the quadratic formula.

Answer:

:)

Step-by-step explanation:

Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!

Answers

11 is the answer or 12

Answer:

100/70

Step-by-step explanation:

i did 25 times 4 got 100 then did 100/70

please help meeeeeeeewwewe

Answers

Answer: x = 20

Explanation:
X + 3x + 10 = 90
4x+10=90
-10. -10
4x 80
4. 4
X=20
Step by step:
1. Add
2. Opposite operation +/-
3.Divide
4. Get your answer

Solve the system of equations.
-3y + 5x = 26
– 2y – 5x =-16
X =? Y=?

Answers

Answer:

x= 94/25

y= 58/5

Step-by-step explanation:

Answer:

X=4

Y=-2

Step-by-step explanation:

Just did it on Khan

What is the estimated volume of a figure with a length of 3cm, a height of 4cm, and a width that is approximately 2 times the height?

Answers

Step-by-step explanation:

Given

length(l)=3cm

height(h)=4cm

breath or width (b)=2×h=2×4=8cm

now it is a cuboid

volume of cuboid=l×b×h=3×8×4=96cm³

Answer:32,cm3

Step-by-step explanation:

50 m
50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.

Answers

9514 1404 393

Answer:

  672 m²

Step-by-step explanation:

There are several ways you can do this.

It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:

  h² = 50² -14² = 2304

  h = √2304 = 48

Then the area is ...

  A = 1/2bh

  A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area

_____

Additional comment

You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.

Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

69

Step-by-step explanation:

Nearest 10 = 60

15%×60 = 9

60+9 = 69

can you guys help me pls

Answers

Answer

A

Step-by-step explanation:

So in the diagrams we see there is 2/3 shaded into a 12  cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.

so

[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]

Since we multiplied 4 on the bottom we have to multiply 4 on the top.

sorry im not good at explaining but if you need me to re explain ill work on it. :)

Help i'll give you brainlyest

Answers

Answer:

Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there

PLS HELP IM CONFUSED

Answers

Answer:

D

Step-by-step explanation:

6 and 3 can both be divided by 3, which gives u 2/1

Answer:

D. 2 cups of flour/1 cup of milk.

Step-by-step explanation:

Here's the definition of unit rate:

unit rate

the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.

Since we need to find the unit rate, find the GCF of 6 & 3 (3). Now divide both values by 3.

(6/3)/(3/3)

2/1

The unit rate between cups of flour to cups of milk is 2:1, which is D.

What is the volume to the nearest tenth

Answers

Answer:

735.84

Step-by-step explanation:

Search Up Cone Volume Formula

Answer: 84.7 cm

Step-by-step explanation:

I just multiplied them both and rounded the 84.66 to a 84.7, hope I helped!

What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)

6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -

Answers

Answer:

the third option: g(x) = 5^x - 9

Step-by-step explanation:

identify the y-intercept, which is (0, -9)

find the option with: y = mx - 9

                                                 ↑ the y-intercpet

The equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]

The function f(x) is given as:

[tex]f(x) =5^x[/tex]

From the graph, the function f(x) is shifted down by 9 units

The rule of this transformation is represented as:

[tex](x,y) \to (x,y-9)[/tex]

So, we have:

[tex]g(x) =f(x) - 9[/tex]

Substitute [tex]f(x) =5^x[/tex]

[tex]g(x) =5^x - 9[/tex]

Hence, the equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]

Read more about function transformation at:

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Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .

Answers

Answer:

4

Step-by-step explanation:

6 * 4 = 24

24 * 4 = 96

what is the range of 125 110 115 165 145 180

Answers

Answer:

the range is 70, you subtract the highest number from the lowest so 180 - 110 which equals 70

Hope this helps

The range of 110-180 is 70

p(x) = (x + 2)(2x^2+ 3x – 9)
Plot all the zeros (c-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

-2, -3, 3/2

Step-by-step explanation:

Factor 2x^2+ 3x – 9

(x+3)(2x-3)

(x + 2)(x+3)(2x-3)  - the zeros are basically the opposite of the numbers here

x+2=0

x=-2

x+3=0

x=-3

2x-3=0

x=3/2

To plot just put the numbers on the x line because it is (x,0)

water has a density of 1.0 g/cm3 a plastic box has a volume of 78 cm and weighs 80 grams will the box sink or float on water
If possible explain thx!

Answers

What we'll do:

A method to find whether an object will float or sink in a liquid is to find it's specific gravity with respect to the liquid, The Specific Gravity tells us the percentage of object's mass which will be submerged in water

Finding the Specific Gravity:

Density of Box:

Density = Mass / Volume

Density = 80 grams / 78 cm³

Density = 1.02 grams/cm³

Specific Gravity of Box with respect to water:

Specific Gravity = Density of Box / Density of Water

we know that density of water is 1 gm/cm³, plugging the values

Specific Gravity = 1.02 / 1

Specific Gravity = 1.02

Hence, 102% of the object will be under water

Q. but I've only heard about 100% of something, how can something be more than 100%?

A. The answer is that the extra 2% over the 100% is providing to the object being even deeper underwater

Graph the equation.
y-3= -5(x-1)

Answers

Step-by-step explanation:

First you gotta write it in standard form

y - 3 = -5(x-1)

distribute -5(x-1) = -5x + 5

y - 3 = -5x + 5

  +3           +3

y = -5x + 8

I used desmos graphing caculator to graph

I need help. It is due today.

Answers

Answer:

well please send me the question again

Is the following number, rational, irrational, or nonreal?​

Answers

Answer:

Rational

√36

=6

plz mark me as brainliest

Answer:  Rational

Step-by-step explanation:  

= /36

= 6

 

Can you give me a thank you?

You take out a loan for $ 1 , 000 at a simple interest rate of 10 % to be paid back in 12 monthly installments. What is the amount of the monthly payments?

Answers

Answer:

i need 5 points im sorry mate

Step-by-step explanation:

Answer:

8.33333333333

Step-by-step explanation:

A cylinder and a sphere shown below have equal volumes what is the radius of the sphere

Answers

Is it looking for the answer in decimals?

HELP PLZ WILL GIVE BRAINLIEST !!! Simplfy completely (−4x + 6y)(2x − y). Show all work for full credit.

Answers

=-8x^2+16xy-6y^2
work shown in photo below
hope this helps.

1. Which set of side lengths form a right triangle?
O 7 in., 8 in., 9 in.
O 33 in., 47 in., 50 in.
18 in., 24 in., 30 in.
O 22 in., 25 in., 32 in.

Answers

Answer:

7,8,9

Step-by-step explanation:

Even though it can be be 7,24,25

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