Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5. In which step did his first error occur?

Antonio Completed The Right Column Of The Table To Help Him Find The Sum Of 2/9 And 1/5. In Which Step

Answers

Answer 1

Answer:

Step 1

Step-by-step explanation:

His first error occurred in step 1.

The common denominator of [tex] \frac{2}{9} [/tex] and [tex] \frac{1}{5} [/tex] is 45, and not 14.

Common denominator of both fractions, is a number of which both 9 and 5 are its factor. That is, it is a common multiple of 9 and 5.

45 can be divided by 9 without remainder. Also 45 can be divide by 5 without a remainder.

45 would make both fractions common not 14.


Related Questions

A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50

Answers

Answer:

$362.5

Step-by-step explanation:

Given that :

x : _____ 230 ______340 ______ 590

P(x): ____0.25______0.55 _____ 0.20

To obtain the expected value E(x) of the outcome ; we can use the formula :

E(x) = Σ(x * P(x))

E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)

E(x) = 57.50 + 187 + 118

E(x) = 362.50

any thoughts?! I couldn't fix it

Answers

Answer:

4.25

Step-by-step explanation:

3x-2y=4 y=(3)/(2)x-2 determine number of solutions

Answers

Answer:

y= 3x/2-2

Step-by-step explanation:

Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answers

This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

      Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

Now our hypotheses are will be;

H₀ : μ = 0.5    and

H₁ : μ < 0.5

For the test, we shall use the z statistic which will be

z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4  

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.

For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

-2.33(0.04/√n) = (x"-0.5)

-0.0466 = x" - 0.5

x" = 0.5 - 0.0466

x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Solve each inequality.

M/13 > -6

Answers

Answer:

m>−78

Step-by-step explanation:

that's your answer:)

Need help on 3 please help thank you so much I appreciate

Answers

Answer: Interesting question bro

Step-by-step explanation:

7. Use the facts and graph below to write the equation for g(x)
Step 1: Start with the equation f(x) = |x|. Write the equation for the graph of g(x) that has been stretched vertically by a factor of 2.
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been reflected, or flipped, over the x-axis.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted down 3 units.
Step 4: Use the equation you wrote in Step 3. Write the equation for the graph of g(x) that has also been shifted right 1 unit.

Answers

9514 1404 393

Answer:

g(x) = 2|x|g(x) = -2|x|g(x) = -2|x| -3g(x) = -2|x -1| -3

Step-by-step explanation:

1. Multiplying the function by a constant stretches the graph by that constant. Here, you want a stretch factor of 2, so you have ...

  g(x) = 2f(x) = 2|x|

__

2. Negating a function causes its graph to be reflected over the x-axis. That makes your second function look like ...

  g(x) = -2|x|

__

3. Subtracting 3 from the function value shifts its location on a graph down by 3 units. Your third function will be ...

  g(x) = -2|x| -3

__

4. Subtracting a constant from the x-value causes the graph of the function to be shifted right by that amount. Here you want a right shift of 1 unit, so your function is ...

  g(x) = -2|x -1| -3

Answer:

the other users is correct, sorry I was going to answer until i saw it was already but it wouldn't let me of the screen

Step-by-step explanation:

Which ratio is equivalent to 4:5?
10
15
4
10
16.
20
15

Answers

Answer:

16;20

Step-by-step explanation;

you can both multiply by 4

4 x 4 = 16 and 5 x 4 = 20.

What is this expression?

Answers

Answer:

2) 4/3

Step-by-step explanation:

(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)

4^-3 * 3^4 * 4^2 = 4^-1 * 3^4

(4^-1 * 3^4)/(4^-2 * 3^5)

(3^4)/(3^5) = 1/(3^5-4)

(4^(-1))/(4^-2 * 3^(5-4)

(4^-1)/(4^-2 * 3)

4^(-1 - (-2)) / (3)

-1 - (-2) = 1

4/3

f(x) is a function.

A. True
B. False

Answers

Answer:

False, since x values cannot have more than one y value.

Step-by-step explanation:

False, since x values cannot have more than one y value.

false because look at it it’s clearly wrong

Please get right lol

Answers

Answer:

-325

-125

Step-by-step explanation:

6.

Let the blank be x.

-50 + 375 + x = 0

325 + x = 0

x = -325

Answer: -325

7.

Let the blank be x.

-75 + x + 50 + 150 = 0

125 + x = 0

x = -125

Answer: -125

A Geiger counter registers a count rate of 7,600 counts per minute from a sample of a radioisotope. Eighteen minutes later, the count rate is 1,900 counts per minute. What is the half-life of the radioisotope?

Answers

Answer:

9 minutes is the half life of the radioisotope.

Step-by-step explanation:

Given;

initial count rate = 7,600 counts per minute

final count rate = 1,900 counts per minute

elapsed time, t = 18 minutes

The half life of the radioisotope is calculated as;

       Time (half life) --------------------------remaining count rate

                     0  ------------------------------7,600 counts per minute

                      x ------------------------------3,800 counts per minute

                     2x----------------------------- 1,900 counts per minute

thus, 2x = 18 minutes

x = 18 / 2

x = 9 minutes

Therefore, 9 minutes is the half life of the radioisotope.

If I have 12345678910 bananas and I take 12345678910 away, how many bananas do I have left?

Have a nice day :D

Answers

zero :( no bananas

12345678910 - 12345678910 = 0

Which quote from Little Women best exemplifies the theme of making sacrifices for genuine love?

Answers

Answer:

"’I don't want a fashionable wedding, but only those about me whom I love, and to them I wish to look and be my familiar self.’"

Step-by-step explanation:

Answer:

the one above my answer is correct

Step-by-step explanation:

Solve for X. -3x-8+6x=7

Answers

Answer:

x=5

Step-by-step explanation:

1. Combine like terms to simplify the equation.

Combining like terms means to combine anything that has the same variable, degree, or no variable at all.

-3x and +6x are like terms, for example because they both have an x.

Add them together to get 3x.

2. Rewrite the equation as the simplified version of 3x-8=7.

3. Add 8 to both sides to cancel out 8 on the left side.

3x=15.

4. Divide by 3 to isolate x.

x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

Combine like terms:                    3x - 8 = 7Add 8 on both sides:                   3x = 15Divide 3 on both sides:               x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute:                    -3(5) - 8 + 6(5) = 7Multiply:                        -15 - 8 + 30 = 7Subtract:                       -23 + 30 = 7Add:                               7 = 7

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.

Translate the figure 3 units left and 4 units down.
Plot all of the points of the translated figure.
You may click a plotted point to delete it.

Answers

Answer:

3,-1

Step-by-step explanation:

you go over to the left 3 and than you go down 4.

the length of a rectangular sing is 4 time its width. if the sign perimeter is 20 inches. what is the sign area ?

Answers

Answer:

Area = 16 in²

Step-by-step explanation:

Represent the length with L and the width with W

We have the following given parameters:

L = 4W

Perimeter = 20

Required

Determine the area.

The perimeter is calculated as thus:

Perimeter = 2(L + W)

Substitute 4W for L and 20 for Perimeter.

20 = 2(4W + W)

20 = 2 * 5W

20 = 10W

Solve for W

W = 20/10

W = 2

Recall that:

L = 4W

L = 4 * 2

L = 8

The area is then calculated as thus:

Area = L * W

Area = 8 * 2

Area = 16

Hence, the area is 16in²

Solve for x : 10x-8= 4-6x

anyone help?

Answers

Answer: x = 3

Step-by-step explanation:

Simplifying

10x + -4 = 6x + 8

Reorder the terms:

-4 + 10x = 6x + 8

Reorder the terms:

-4 + 10x = 8 + 6x

Solving

-4 + 10x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-4 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + 4x = 8 + 0

-4 + 4x = 8

Add '4' to each side of the equation.

-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 4x = 8 + 4

4x = 8 + 4

Combine like terms: 8 + 4 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Add

to both sides of the equation

Simplify

Add

to both sides of the equation

Simplify

6

Divide both sides of the equation by the same term

The population of a country grows exponentially at a rate of 1% per year. If the population was 35.7 million in the year 2010, then what is the population size of this country in the year 2015

Answers

Answer:

37.52 million

Step-by-step explanation:

using,

A = A'(1+R/100)ⁿ............................. equation 1

Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.

Given: A' =35.7 million, R = 1%, n = 5.

Substitute these values into equation 1

A = 35.7(1+0.01)⁵

A = 37.52 million.

Hence the size of the population of the country in the year 2015 is 37.52 million

Round 2.261 to the nearest one

Answers

Answer: 2.

Step-by-step explanation;

2.261 rounded to the nearest one is 2. Recall that the nearest ones whole number is the first digit before the decimal point of a number.

immediately Thanks but it is urgent

Answers

It’s d for sure mate. Mark me brainliest u think I’m correct !

Answer:

the answer is lletter D MARK ME IF CORRECT

Step-by-step explanation;

What is the greatest common factor of the terms in the polynomial 4x-32x-60x?
4
4x
4x2
O 4r3

Answers

Answer:

its c (4x^2)

Step-by-step explanation:

The greatest common factor of the polynomial expression 4x - 32x - 60x is 4x

How to determine the greatest common factor?

The polynomial expression is given as:

4x - 32x - 60x

Factor out x from the terms in the expression

x(4 - 32 - 60)

Factor out 4 from the terms in the expression

4x(1 - 8 - 15)

Hence, the greatest common factor of the terms is 4x

Read more about greatest common factor at:

https://brainly.com/question/1617551

#SPJ2

The probability that a six sided number cube lands on a 5 is 1/6. Predict the number of times the cube will land on a 5 if the cube is tossed 72 times.

Answers

Answer:

[tex]1 \div 6 \times 72 = 12[/tex]

Twice the sum of a number and five is equal to 40 (translate to an algebraic equation)

Answers

2(x + 5) = 40 ....................

The algebraic equation representing the given statement is

2(x + 5) = 40.

We have,

Let's translate the given statement into an algebraic equation.

The sum of a number (let's call it x) and five can be expressed as (x + 5).

Twice the sum of a number and five is equal to 40, so we can write it as:

2(x + 5) = 40

Therefore,

The algebraic equation representing the given statement is

2(x + 5) = 40.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

vary hard 11th grade test paper

Answers

Omg thx for the points ;)

I need some help lol

Answers

Answer:

the answer is c i had the same test

The difference in the price of 2 video games is $8.25. If one video game costs $19.50, which of the answer choices could represent the price of the other video game?

Answers

It’s either 11.25 or 27.75. Next time please show the answer choices too!

Answer:

the correct answer would be 11.25 or 27.75 unless the answer choices were some type of ratio

Step-by-step explanation:

Use the figure below for items 6-7.
Х,
8
w
Z
6. If WY + XZ = 28, what is PZ? 'hint: find WY first
7. If XP = 7x - 2 and PZ = 4x + 10, what is XZ?

Answers

6.
WY=16
XZ=12
PZ=6

7.
7x-2=4x+10
3x=12
x=4
XZ=11x+8
XZ=52

Suppose a blue car is 1/2 mile south of an intersection, driving north towards the intersection at 40 mph (miles per hour). At the same time, a red car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The the straight-line distance between the blue and red car is increasing at a rate of 15 mph. What is the speed of the red car?

Answers

Answer:

dx/dt  = - 18,79 mph

Step-by-step explanation:

The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse

If we call  x  and  y  distances between blue car and red car respectively  and L the hypothenuse by Pythagoras theorem we have:

L²  =  x²  + y²      (1)

Tacking derivatives on both sides of the equation

2*L*dL/dt  = 2*x*dx/dt + 2*y*dy/dt

And from equation (1)

L²  = (0,5)² + (0,5)²    ⇒  L = √(0,5)²  + (0,5)²   ⇒ L = 0,5*√2

By subtitution in equation (2)

2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40

(15*√2 - 40 ) / 1  = dx/dt  [mph]

dx/dt  = - 18,79 mph

Note the( - ) sign is equivalent to say that the car is driving away from the intersection point

I need help please with step by step it would help me a lot

Answers

Answer:

Domain: (-infinity, +infinity) since you can pick any x values.

Range: [0, +infinity) since it does not go below the x axis.

Step-by-step explanation:

The graph is a parabola given by [tex]y=x^2[/tex]

lets pick a few x values:

x = 1 gives us y = 1^2, which = 1

x = -1 gives us y = (-1)^2, which = 1

The parabola's domain is any x value as it extends to infinity.

For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]

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