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Which steps show how to use distributive property to evaluate 5 x 38

WILL GIVE BRAINLEIST Which Steps Show How To Use Distributive Property To Evaluate 5 X 38

Answers

Answer 1

Answer:

The answer is most definitely A. It is the only answer that reaches the correct value of 190, which is what 5 * 38 equals. However, to put it into perspective...

Step-by-step explanation:

When we use the distributive property we are breaking down something sometimes, and in this case, very simple into a more extended form.

5 * 38 is the same as saying 5(40 - 2). We also know that if we subtract the sum of 5 * 2 from 5 * 40, it will end up the same as 5 * 38 because you are multiplying 5 two times less.

5 * 40 = 200

5 * 2 = 10

200 - 10 = 190

The answer is A

;)


Related Questions

Solve the inequality.8(x-1) >12(x-2)

Answers

SOLUTION

Solve the inequality.

[tex]8(x-1)>12(x-2)[/tex][tex]\begin{gathered} 8(x-1)>12(x-2) \\ 8x-8>12x-24 \\ 8x-12x>-24+8 \\ -4x>-16 \end{gathered}[/tex]

divide both sides by -4

[tex]\begin{gathered} -4x>-16 \\ x<\frac{16}{4} \\ x<4 \end{gathered}[/tex]

X-intercept
Find f(-2)
Find x for f(x)=2

Answers

By using the graph we can see:

x-intercept: x = 0.f(-2) = 4f(x) = 2  for x = -1.3

How to find the requested values?

First, we want to find the value of x such that the graph touches (intercepts) the x-axis.

On the graph, we can see that it intercepts the x-axis at x = 0, so that is the x-intercept.

Now we want to find f(-2), this is the value of the function when x = -2, to find that we first need to find x = -2 in the horizontal axis.

f(-2) = 4

Now we want to find the value of x such that:

f(x) = 2

so now we need to find 2 in the vertical axis. we can see that the function is equal to 2 for x = -1.3 (approximation).

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-4(w + 5) + 5w simplify use distributive property

Answers

Answer:

w - 20

Step-by-step explanation:

Simplifying the expression:

Remove the parenthesis by multiplying each term of (w + 5) by (-4)

-4(w + 5) + 5w = -4*w + 5*(-4) + 5w

                       = -4w - 20 + 5w

                       = -4w + 5w - 20

        Combine like terms. Like terms have same variable with same power.

                       = w - 20

Solve using augmented matrices.
x+y=1
3x-y=7

Answers

The solution to the system of equation {x + y = 1, 3x - y = 7 } using augmented matrices is ( 2,-1 ).

What is the solution to the system of equation using augmented matrices?

Given the system of equation in the question;

x + y = 1

3x - y = 7

First, we write the system of equation in matrix form.

[tex]\left[\begin{array}{ccc}1&1&1\\3&-1&7\\\end{array}\right][/tex]

Next, we find the reduced row echelon form

Row operation R₂ = R₂ - 3R₁ to make the entry at 2, 1 a 0.

[tex]\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&-1\4&4\\\end{array}\right][/tex]

Next, multiply each element of R₂ by -1/4 to make the entry at 2, 2 a 1.

[tex]\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}*0 &-\frac{1}{4}*-4 &-\frac{1}{4}*4 \\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\\\end{array}\right][/tex]

Now, perform the operation, R₁ = R₁ - R₂, to make the entry at 1,2 a 0.

[tex]\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\\\end{array}\right][/tex]

Using the result from the matrix, x = 2 and y = -1.

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Add parentheses to make true3 + 4 × 2 = 1472 ÷ 12 - 6 = 12

Answers

We want to find where to put the parentheses on each expression to make the expression true.

First, we identify the symbols +, x, / and - to identify the pairs of numbers. For example, in the expression

[tex]3+4\cdot2[/tex]

we have two symbols (+, *).

Now, this would give us two pairs of expression where we can put the parentheses. That is, one possibility per symbol. So we have

[tex](3+4)[/tex]

and

[tex](4\cdot2)[/tex]

Now, let us try the first choice. Remember that first we have to evaluate what is inside the parentheses. This would give us

[tex](3+4)\cdot2=7\cdot2=14[/tex]

which coincides to the value we wanted.

In the second case, we have the following symbols / and -

This would give us two pairs for grouping, namely

[tex](72/12)[/tex]

and

[tex](12\text{ -6)}[/tex]

as before, we will first evaluet the first option

[tex](\frac{72}{12})\text{ - 6=6 -6 =0}[/tex]

If we try the second option, we woud get

[tex]\frac{72}{(12\text{ -6)}}=\frac{72}{6}=12[/tex]

which would give us the correct value.

Factor out the GCF of 9x^−24x

Answers

9x^2 and 24x have the factor 3x in common

9x^2/3x = 3x
24x/8 = 3x

Original equation: 9x^2 - 24x

Factored out: 3x - 8

Estimate the square root of 39 to the nearest integer

Answers

The answer to ur question is 6.2449

The current population of a city is about 2,130,000 people, and it's increasing at a rate of 10 percent per year. Arrange the steps in the correct order to
show how to determine the population of the city in five years.

Answers

The population of the city in 5 years is 3430386 as the population is increasing 10% per year

What is percentage and how to calculate?

Percentage is the ratio which can be expressed as fraction of 100. And to calculate percentage we multiply by 100.

We are given that population of a city is 2130000

And the population is increasing at a rate of 10%

We are asked to find the population after 5 years

The equation can be given as (1.1)^x*2130000

We put x =5

We get

[tex](1.1)^5*2130000\\1.61051*2130000\\=3430386[/tex]

Hence the population will be 3430386 after 5 years at a rate of 10% increase per year

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A model car has a list price of $46.20. The model is on
sale at 15% off. Find the total cost to the nearest cent
after a 4.5% sales tax is added to the sale price.

Answers

Answer:The total cost is $41.04

Step-by-step explanation:

Determine the minimum sample size required when you want to be ​% confident that the sample mean is within one unit of the population mean and. Assume the population is normally distributed.

Answers

The minimum sample size of the given condition is 89.

In given condition,

For 95% confidence level, critical value of z is z* = 1.96

The margin of error given is E = 1

Standard deviation ( α ) = 4.8

Final required sample size is;

n = [tex](\frac{z*\alpha }{E} )^{2}[/tex]

  = [tex](\frac{1.96 * 4.8}{1} )^2[/tex]

  = 88.51

n  ≅ 89

The minimum sample size of the given condition is 89.

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A cylinder with radius r and height h is inscribed in a cone with radius of 4m and height of 10m. Express the volume V of the cylinder as a function of h.

Answers

The volume of the cylinder is 502.4m³

Volume of the cylinder:

Volume of the cylinder can be calculated by the product of the area of base and height.

For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.

V = πr²h cubic units.

Given,

A cylinder with radius r and height h is inscribed in a cone with radius of 4m and height of 10m.

Here we need to find the volume of the cylinder,

We know that the values of,

Radius = 4m

height = 10m.

Now we have to apply the value on the formula, then we get,

V = π x (4)² x 10

Apply the value of π as 3.14 then we get,

V = 3.14 x 16 x 10

V = 502.4

Therefore, the volume of the cylinder is 502.4 m³.

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whats is 2 thirds minus a half

Answers

Step-by-step explanation:

I hope it will be helpful for you.

It will equal up to 1/ 6

Please help me. It’s due today I do not understand it

Answers

The slope of the line above is -2.

How to find the slope of a line?

The slope of a line can be defined as the change in y with respect to the change in x .

The slope can be regarded as rise over run.

The slope can be express in mathematical form as follows;

slope = m = y₂ - y₁ / x₂ - x₁

using the coordinates on the graph,

(0, 3)(3, - 3)

x₁ = 0

x₂ = 3

y₁ = 3

y₂ = - 3

Therefore,

slope = -3  - 3 / 3 - 0

slope = - 6 / 3

Hence,

slope = - 2

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the head of institutional research at a university believed that the mean age of​ full-time students was declining. in​ 1995, the mean age of a​ full-time student was known to be 27.4 years. after looking at the enrollment records of all 4934​ full-time students in the current​ semester, he found that the mean age was 27.1​ years, with a standard deviation of 7.3 years. he conducted a hypothesis of ​: 27.4 years versus ​: 27.4 years and obtained a​ p-value of 0.0020. he concluded that the mean age of​ full-time students did decline. is there anything wrong with his​ research?

Answers

No, there is nothing wrong in the research that is done by the head of the institution. He said correct that the mean age of the full time students has declined.

Given above that a university's director of institutional research thought that the average age of full-time students was lowering. The average age of a full-time student in 1995 was 27.4 years old.

He registered all 4934 pupils for this and the average age was 27.1 years.

The fact that the inquiry concerns the average age of a full-time student makes this situation ideal. This is a trustworthy approach when the mean is calculated after accounting for all full-time students at the university.

Given that this is a left-tailed test, the hypothesis is also correct.

He rejected the null hypothesis because p = 0.0020.05.

The average age did decrease, in conclusion. The situation is ideal.

Therefore his hypothesis is absolutely correct. There is nothing wrong with it.

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please answer the question below the top question. on both.

Answers

The value of x is 6 degrees.

It is given in the question that:-

HI is parallel to JK and FG is the transversal intersecting HI at L and JK at M.

∠LMK = 115 degrees

∠MLI = (8x + 17) degrees

We have to find the value of x.

We know that,

Angles on the same side of the transversal sum up to 180 degrees.

Hence, we can write,

∠LMK + ∠MLI = 180 degrees.

115 + (8x + 17) = 180 degrees

8x + 132 = 180 degrees

8x = 180 - 132

8x = 48 degrees

x = 48/8 degrees

x = 6 degrees

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Hurry Pls) Enter the rational number as
a/b where a and b are integers.
7 1/3
(Note: this isn't my work, it's my siblings and I have no idea how to answer it.)

Answers

The rational number of 7¹/₃  as; a/b where a and b are integers.

How to convert a rational number?

A rational number is defined as any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero

Now, we are given the fraction as; 7¹/₃

This given number is expressed as a mixed fraction and so we convert it to improper fraction to get; 22/7

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Consider the chart of millionaires and population

Answers

The number of millionaires Los Angeles should have will be equal to 5,065 millionaires.

Proportion may be defined as part or share of a complete unit compared with respect to the whole unit. A proportion is basically the equality of ratios. Two different ratios can be treated as equals if they are in proportion to each other. Now, the number of millionaires in Los Angeles will be equal to the Proportion of Millionaires in Dubai multiplied by the Population of Los Angeles that is

= 0.00124 × 4,085,014

= 5,065 millionaires

The Data and Calculations will be given as:

City                Millionaires     Population      Proportion

Los Angeles    11,560              4,085,014        0.00283 (11,560/4,085,014)

Casablanca     6,900              3,752,357        0.00184 (6,900/3,752,357)

Berlin               6,750              3,562,038         0.00189 (6,750/3,52,038)

Dubai               3,570              2,878,344         0.00124 (3,570/2,878,344)

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Complete Question:

City Millionaires Population

Los Angeles 11,560 4,085,014

Casablanca 6,900 3,752,357

Berlin

6,750

3,562,038

Dubai

3,570

2,878,344

Consider the chart of Millionaires and Population. If Los Angeles were

proportional to Dubai with respect to population, how many millionaires

should we expect Los Angeles to have? Round your answer to a whole number.

In the problems below, copy the problems and the picture, mark the givens, and prove the statements.

Answers

Answer:

Step-by-step explanation:

Givens

OF =     RF

OU = UR

Draw a line from U to F

UF = UF                              Reflexive property.

Solution

ΔOUF = ΔRUF                    SSS

<O = < R                              Congruent parts are congruent when the triangles are congruent.

Which method can't you use to solve this problem? x^2 + 7x =0

A) Factoring

B) Square roots

C) Quadratic formula

Answers

It should be B)Square Roots!
Hope this helps :)

Using the graph, determine the coordinates of the x-intercepts of the parabola.

Answers

Answer:

2 points

Step-by-step explanation:

According to the graph, the parabola has two x-intercept, where is (0,-2) and (0,-8).

One card is drawn from a standard deck of 52 cards. Find the probability of drawing the following. an eight or a diamond

Answers

The probability of a simple event to occur is this:

[tex]P(x)=\frac{\text{total number of favorable outcomes}}{\text{total }number\text{ of possible outcomes}}[/tex]

In the question given, the favorable outcomes are either 8 or diamond.

In a deck of cards, there are 13 diamond cards and 4 eights however one of the diamond cards is also 8. Therefore, total favorable outcome is 13 + 4 - 1 = 16.

Of course, the total number of possible outcomes is 52. So, the probability of getting an eight or a diamond is:

[tex]p(x)=\frac{16}{52}=\frac{4}{13}\approx0.3077[/tex]

The probability, in fraction, is 4/13.

In decimal form, it is 0.3077.

In percentage form, it is 30.77%

Please answer if blurry let me know

Answers

Answer:

[tex]P'(-6,4)[/tex]

Step-by-step explanation:

P(x,y) -> rotate 90 degrees -> P'(-y,x)

P'(-6,4)

:]

(Brainliest would be greatly appreciated :] )

The diameter of a basketball rim is 18 inches. What is the circumference of the rim? Write your answer using pi. Show your work.

Answers

Answer: 18Pi

Explanation:

The equation of the circumference of a circle is 2 x Pi x radius

The radius is one half of the diameter. So to find the radius we can divide the diameter by 2.


18 divided by 2 is 9

So to find the circumference we can just do Pi x 9 x 2

9 x 2 = 18

So the answer is 18Pi, or 56.52

Answer:

18 pi

Step-by-step explanation:

2xpixr d divided by 2 equals 9 pi x 2 x 9 =18

PLEASE HELP QUICK. NOW NEEDED

Answers

pls tell me u understand the drawing

Two consecutive integers have a sum of 77. What are the two integers?

Answers

Answer: 38 and 39

if you add them together you get 77

Answer:

38 & 39

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) = 77

→ 2x + 1 = 77

Now the value of x will be,

→ 2x + 1 = 77

→ 2x = 77 - 1

→ x = 76/2

→ [ x = 38 ]

Then the required integers are,

→ x = 38

→ x + 1 = 38 + 1 = 39

Hence, the integers are 38, 39.

solve for t
300,000 = 300 (1+.0375/12) ^ (12t) / (.0375/12)

Answers

If the equation be [tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]then the value of t = 30.43236.

How to estimate the value of t?

Let the equation be

[tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]

Multiply both sides by 0.0375 / 12, and we get

[tex]$300000 \cdot \frac{0.0375}{12}=\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{\frac{0.0375}{12}} \cdot \frac{0.0375}{12}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{1875}{2}=300\left(1+\frac{0.0375}{12}\right)^{12 t}$$[/tex]

Switch sides of the equation,

[tex]$300\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{1875}{2}$$[/tex]

Divide both sides by 300, and we get

[tex]$\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{300}=\frac{\frac{1875}{2}}{300}$$[/tex]

Simplifying the above equation, we get

[tex]$\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{25}{8}$$[/tex]

Apply exponent rules, then

[tex]$12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right)$$[/tex]

Solving the above equation, then

[tex]$12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right): \quad t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$[/tex]

[tex]$t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$$[/tex]

simplifying the above value of t, we get

t = 30.43236.

If the equation be [tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]then the value of t = 30.43236.

Therefore, the value of t = 30.43236.

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Factor by Grouping.. I know there is no common GCF but i don't know how to continue!
xy^2 − 3xy − 6y + 18

Answers

Answer:

(xy-6)(y-3)

Step-by-step explanation:

i don't know if you needed this, but if you need this i can explain step by step

xy(y-3)-6(y-3). we take the common ones out and than simplify as:. (xy-6)(y-3)

Need help! Finding Missing Angles !

Answers

Step-by-step explanation:

Since right angles are 90°

11 = 90°

12 = 90°

13 = 90°

PLEASE HELP ME IT WOULD MAKE MY MONTH!!! ILYSM

How many pounds of apples will he get if he goes to David’s orchard?

Answers

Answer:

David's orchid: 20 +x

Pam's orchid: 25 + 0.75x

Step-by-step explanation:

Framing linear equations:

    David's apple orchid:

Cost of first 10 pounds = 10 * 2 = $ 20

Let the weight of additional apples picked = x pounds

Cost of 'x' pounds = 1 * x = $ x

Total cost = cost of first 10 pounds + cost of additional 'x' pounds

                = 20 + x

Pam's orchid:

                     Entry fee = $ 10

Cost of first 10 pounds = 10 * 1.50 = $ 15

      Cost of 'x' pounds = 0.75*x = 0.75x

Total cost = Entry fee + cost of first 10 pounds + cost of additional 'x' pounds

                = 10 + 15 + 0.75x

                = 25 + 0.75x

               

A financial planner has a client with 16000​$ to invest. If he invests​ $10,000 in a certificate of deposit paying ​12% annual simple​ interest, at what rate does the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly​ interest?

Answers

As per the Simple interest concept, at 7% of rate the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly​ interest.

Simple interest.

Simple interest is calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

A financial planner has a client with 16000​$ to invest.

Here we need to calculate the rate does the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly​ interest when he invests $10,000 with the annual simple interest 12%.

Let us consider R represents the rate that remainder of money needs to be invested

Here we know that, $10,000 is invested at 12%

So, according to the formula the interest at 12% is evaluated as,

=> $10,000 * 0.12 * 1 = $1200

And the remaining $6000 is invested at R%

Then the interest at R%=$6000 * R * 1 = $6000R

Now we need to find that the two investments together need to yield at least $1620, so our equation to solve is:

$1620 = $1200 + $6000R

Now, we have to subtract $1200 from both sides, then we get,

$1620 - $1200=$6000R

Then collect similar terms

$420=$6000R

Now, divide both sides by $6000

R=0.07 or 7%

Therefore, the answer is 7%.

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