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?

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

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

Step 3: Check

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

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.

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.

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.

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.

Answer:

its c (4x^2)

Step-by-step explanation:

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

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

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Answer:

16;20

Step-by-step explanation;

you can both multiply by 4

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

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

Answer:

4.25

Step-by-step explanation:

Answer:

the answer is lletter D MARK ME IF CORRECT

Step-by-step explanation;

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

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.

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:

Answer:

m>−78

Step-by-step explanation:

that's your answer:)

Answer:

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

Step-by-step explanation:

9514 1404 393

Answer:

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:

12345678910 - 12345678910 = 0

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

Answer:

y= 3x/2-2

Step-by-step explanation:

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

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

Answer: Interesting question bro

Step-by-step explanation:

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]

Answer:

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

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

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.

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Answer:

3,-1

Step-by-step explanation:

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

Answer:

the answer is c i had the same test

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