Please help and no I cannot show a picture of it. 5+5×0+5

Answers

Answer 1

Answer:

Solving the expression gives;

[tex]5+5\times0+5=10[/tex]

Explanation:

Given the expression;

[tex]5+5\times0+5[/tex]

Applying the rule of BODMAS or PEMDAS;

multiplication comes first;

[tex]\begin{gathered} 5+5\times0+5 \\ 5+0+5 \end{gathered}[/tex]

Then we can do the addition;

[tex]\begin{gathered} 5+0+5 \\ =5+5 \\ =10 \end{gathered}[/tex]

Therefore, solving the expression gives;

[tex]5+5\times0+5=10[/tex]


Related Questions

good night I will send a picture of work

Answers

In the form of the equation

S = m D + b

S represented on the y-axis

D represented on the x-axis

The independent is x

The dependent is y

Then D is the independent

S is the dependent

let us find the correct answer

the probability that DeAndre missed at least 1 day of school in a given week is

Answers

Probability that Deandre missed at least 1 day is;

[tex]Pr(x\ge1)=Pr(1)+Pr(2)+Pr(3)+Pr(4)+Pr(5)[/tex]

Write out the values of each probability and sum them

[tex]\begin{gathered} Pr(x\ge1)=0.25+0.18+0.34+0.12+0.04 \\ =0.93 \end{gathered}[/tex]

Hence,

The probability that Deandre missed at least 1 day is 0.93

When you are on the 2nd step of factoring this trinomial,you should be listing the factors of?

Answers

Given:

The trinomial equation is given as,

[tex]3v^2-4v-7[/tex]

The objective is to choose the correct value for which the factors are to be obtained for factorization.

Explanation:

From the step 1, to perform the factorization the values of a and c has to be multiplied.

Then in step 2, the factors need to be calculated for the product of a and c.

Product of a and c :

The product of a and c will be,

[tex]a\times c=3\times7=21[/tex]

Thus, factors are to be listed for the number 21.

Hence, option (1) is the correct answer.

Draw a figure to use for numbers 13 - 15. Points A. B. and C are collinear and Bis the midpoint of AC. 13. If AB = 3x - 8 and BC = x + 4, find the length of AB 14. If BC = 6x - 7 and AB = 5x + 1. find the length of AC 15. If AB = 8x + 11 and BC = 12x - 1. find the length of BCAnswer 13

Answers

13.

Given:

AB = 3x - 8, BC = x + 4

A, B and C are collinear

B is a midpoint of AC

Since B is the midpoint, we can write:

[tex]\text{length of AB = Length of BC}[/tex]

Hence, we have:

[tex]3x\text{ - 8 = x + 4}[/tex]

Solving for x:

[tex]\begin{gathered} \text{Collect like terms} \\ 3x\text{ -x = 4 + 8} \\ 2x\text{ = 12} \\ \text{Divide both sides by 2} \\ x\text{ = 6} \end{gathered}[/tex]

Hence, the length of AB is:

[tex]\begin{gathered} =\text{ 3x - 8} \\ =\text{ 3}\times\text{ 6 -8} \\ =\text{ 18 -8} \\ =\text{ 10} \end{gathered}[/tex]

Answer:

The length of AB is 10 unit

Which of the equations below could be the equation of this parabola?
10-
(0,0)
Vertex
-10
O A. y--/2²2
O B. x=2²
O c. y-1/2x²
O D. x=-12²
10

Answers

B I think x=22 I think

The equation of this parabola is Y = -1/2 X². So option C is correct.

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

Given that,

The graph of parabola,

the vertex (0, 0)

Y - 0  = 4a (X - 0)²

Y  =  4aX²

It can be seen in the graph it is downward parabola so value a should be  less than zero

So possible equation could be Y = -1/2 X²

Hence, the equation is Y = -1/2 X²

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A triangular road sign has a base of 30 inches and a height of 40 inches. What is it’s area?

Answers

Answer:

600ft

Step-by-step explanation:

Because a triangle is half of a rectangle, the area can be found by taking the base times height and dividing by 2.

A = (b * h)/2

A = (40 * 30)/2

A = 1200/2

A = 600ft

when taking a 19 question multiple choice test ,where each question has 3 possible answers ,it would be unusual to get or more questions correct by guessing alone consider "unusual " to be more than two standard deviations away from expected.

Answers

we have that

You have 1 in 3 probability of guessing the correct answer for a single question

you have 19 opportunities to guess

so

19*(1/3)=19/3=18/3+1/3=6 1/3

therefore

would be unusual to get 7 or more questions correct by guessing alone

the discriminant equation How many real solution 4x^2-8x+10=-x^2-5 have?

Answers

Answer:

0 real solutions

Explanation:

First, we need to transform the equation into the form:

[tex]ax^2+bx+c=0[/tex]

So, the initial equation is equivalent to:

[tex]\begin{gathered} 4x^2-8x+10=-x^2-5 \\ 4x^2-8x+10+x^2+5=-x^2-5+x^2+5 \\ 5x^2-8x+15=0 \end{gathered}[/tex]

Now, the discriminant can be calculated as:

[tex]b^2-4ac[/tex]

If the discriminant is greater than 0, the equation has 2 real solutions.

If the discriminant is equal to 0, the equation has 1 real solution

If the discriminant is less than 0, the equation has 0 real solutions

So, in this case, a is 5, b is -8 and c is 15. Then, the discriminant is equal to:

[tex](-8)^2-4\cdot5\cdot15=84-300=-236[/tex]

Since the discriminant is less than zero, the equation has 0 real solutions

If the statement is true, type true in the space provided. If it is false, replace the underlined word(s) with the word(s) that will make the statement true.

Answers

The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.

In general, the following surds are conjugate to each other:

[tex](x\sqrt{a}+y\sqrt{b})\text{ and \lparen}x\sqrt{a}-y\sqrt{b})[/tex]

Therefore, the conjugate of the surd:

[tex](5-\sqrt{7})[/tex]

will be:

[tex](5+\sqrt{7})[/tex]

The statement is true.

Reflected over the x-axis , horizontal shrink of 1/2, translated 7 down.

Answers

Given:

Reflected over the x-axis, horizontal shrink of 1/2, translated 7 down.

The parent function is y=|x|.

[tex]\begin{gathered} \text{reflected over x-axis=-f(x)} \\ \text{horizontal shrink=f(}\frac{x}{b}\text{)} \\ \text{translation to the down=f(x)-d} \end{gathered}[/tex]

The function becomes,

[tex]y=-|2x|-7[/tex]

Answer:

[tex]y=-|2x|-7[/tex]

Subway wants to know how their customers feel about their food quality and service. When each customer pays for their food, the Subway employee hands them their receipt and tells them that they have a chance to win $500 if they go on line and answer a few questions about the restaurant. a) Experimentb) Observational Studyc) None of thesed) Survey

Answers

From the question, we were told that a subway company decides to reward their customers if they go online and answer a few questions about the restaurant.

We are to determine what the process means.

The general view, examination, or description of something or someone in most cases for a reward is known as a survey.

So since subway wants its customers to go online and answer some question about the restaurant and get a reward, then it is a survey.

So, the process that was carried out is a survey.

Therefore, the correct option is D, which is survey.

Factor the Expression. If the expression cannot be factored, say so. 8.) x^2 - 4x - 12

Answers

To factor an expression of the form:

[tex]x^2+bx+c[/tex]

we find two numbers B and C that fulfills the following properties:

[tex]\begin{gathered} B+C=b \\ BC=c \end{gathered}[/tex]

In this case we have b=-4 and c=-12. We can choose B=-6 and C=2. Then we write the expression as:

[tex]x^2-4x-12=x^2-6x+2x-12[/tex]

and we factor the common factors in the first two and last terms:

[tex]\begin{gathered} x^2-4x-12=x^2-6x+2x-12 \\ =x(x-6)+2(x-6) \\ =(x+2)(x-6) \end{gathered}[/tex]

Therefore:

[tex]x^2-4x-12=(x+2)(x-6)[/tex]

a washer and dryer cost 1001 combined the washer costs 51 more the than the dryer how much does the dryer cost

Answers

we can write equations from the statements

a washer and dryer cost 1001 combined

[tex]w+d=1001[/tex]

where w is the price of the washer and d the price of the dryer

the washer costs 51 more the than the dryer

[tex]w=51+d[/tex]

then we can replace the value of w from the second equation to the first equation

[tex]\begin{gathered} (51+d)+d=1001 \\ 51+d+d=1001 \\ 51+2d=1001 \end{gathered}[/tex]

and solve for d

[tex]\begin{gathered} 2d=1001-51 \\ 2d=950 \\ d=\frac{950}{2} \\ \\ d=475 \end{gathered}[/tex]

the cost of the dryer was $475

Function f is defined by f(x) = 2x – 7 and g is defined by g(x) = 5*

Answers

Answer

f(3) = -1, f(2) = -3, f(1) = -5, f(0) = -7, f(-1) = -9

g(3) = 125, g(2) = 25, g(1) = 5, g(0) = 1, g(-1) = 0.2

Step-by-step explanation:

Given the following functions

f(x) =2x - 7

g(x) = 5^x

find f(3), f(2), f(1), f(0), and f(-1)

for the first function

f(x) = 2x - 7

f(3) means substitute x = 3 into the function

f(3) = 2(3) - 7

f(3) = 6 - 7

f(3) =-1

f(2), let x = 2

f(2) = 2(2) - 7

f(2) = 4 - 7

f(2) =-3

f(1) = 2(1) - 7

f(1) = 2 - 7

f(1) =-5

f(0) = 2(0) - 7

f(0) =0 - 7

f(0) = -7

f(-1) = 2(-1) - 7

f(-1) = -2 - 7

f(-1) = -9

g(x) = 5^x

find g(3), g(2), g(1), g(0), and g(-1)

g(3), substitute x = 3

g(3) = 5^3

g(3) = 5 x 5 x 5

g(3) = 125

g(2) = 5^2

g(2) = 5 x 5

g(2) = 25

g(1) = 5^1

g(1) = 5

g(0) = 5^0

any number raised to the power of zero = 1

g(0) = 1

g(-1) = 5^-1

g(-1) = 1/5

g(-1) = 0.2

Given the focus and directrix shown on the graph, what is the vertex form of the equation of the parabola?

[tex]x\ =\ \frac{1}{10}(y\ -\ 3)^2\ -\ \frac{3}{2}[/tex]

[tex]x\ =\ 10(y\ +\ 3)^2\ +\ \frac{3}{2}[/tex]

[tex]x\ =\ \textrm{-}\frac{1}{10}(y\ -\ 3)^2\ -\ \frac{3}{2}[/tex]

[tex]y\ =\ \frac{1}{10}(x\ -\ 3)^2\ -\ \frac{3}{2}[/tex]

Answers

The vertex-form equation of the parabola is given as follows:

y = 1/10(y - 3)² - 3/2.

What is the equation of a horizontal parabola?

An horizontal parabola of vertex (h,k) is modeled as follows:

x = (1/4p)(y - k)² + h.

In which:

The directrix is x = h - p.The focus is (h + p, k).

In the context of this problem, we have that:

The directrix is x = -4.The focus is: (1,3), hence k = 3.

A system of equations is built for h and p as follows:

h - p = -4.h + p = 1.

Hence:

2h = -3

h = -3/2.

p = 1 + 3/2 = 2.5.

Then the equation is:

y = 1/10(y - 3)² - 3/2. (first option).

Missing information

The graph is given by the image at the end of the answer.

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A forest products company claims that the amount of usable lumber in its harvested trees averages142 cubic feet and has a standard deviation of 9 cubic feet. Assume that these amounts haveapproximately a normal distribution.1. What percent of the trees contain between 133 and 169 cubic feet of lumber? Round to twodecimal places.II. If 18,000 trees are usable, how many trees yield more than 151 cubic feet of lumber?

Answers

[tex]\begin{gathered} I)84\% \\ II)2857 \end{gathered}[/tex]

1) Considering that the amount of lumber in this Data Set has been normally distributed, then we can start by finding this Percentage (or probability in this interval, writing out the following expressions:

[tex]\begin{gathered} P(133Now we can replace it with the Z score formula, plugging into that the Mean, the Standard Deviation, and the given values:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

Then:

[tex]\begin{gathered} P(\frac{133-142}{9}<\frac{X-\mu}{\sigma}<\frac{169-142}{9}) \\ P(-1Checking a Z-score table we can state that the Percentage of the trees between 133 and 169 ft³ is:

[tex]P(-12) Now, let's check for the second part, the number of trees. But before that, let's use the same process to get a percentage that fits into that:

[tex]\begin{gathered} P(X>151)=\frac{151-142}{9}=1 \\ P(Z>1)=0.1587 \end{gathered}[/tex]

Note that 0.1587 is the same as 15.87%. Multiplying that by the total number of trees we have:

[tex]18000\times0.1587=2856.6\approx2857[/tex]

Rounding it off to the nearest whole.

3) Thus, The answers are:

i.84%

ii. 2857 trees

9) The temperature outside feels like - 3°C on Thursday. When the temperature is taken, it is actually 16°C. Howmany degrees lower does the temperature feel?

Answers

Explanation

The temperature feels

[tex]16-(-3)=19[/tex]

degrees lower from the actual.

D is the midpoint of AC, BA ≅BC and ∠EDA ≅ ∠FDC. Prove ΔAED ≅ ΔCFD

Answers

We are asked to prove that triangles AED and CFD are congruent. To do that we will prove that we can use the ASA (Angle Side Angle) rule of congruency.

First, we are given that D is a midpoint of segment AC, therefore:

[tex]\bar{AD}=\bar{AC}[/tex]

Also, we are given that:

[tex]\bar{BA}=\bar{BC}[/tex]

This means that triangle ABC is an isosceles triangle and therefore, its base angles are equal. This means that:

[tex]\angle BAC=\angle BCA[/tex]

And, since we are given that angles EDA and FDC are equal, then by ASA we can conclude that:

[tex]\Delta AED\cong\Delta CFD[/tex]

Allison earned a score of 150 on Exam A that had a mean of 100 and a standard deviation of 25. She is about to take Exam B that has a mean of 200 and a standard deviation of 40. How well must Allison score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer:

Allison must score 280 on Exam B to do equivalently well as she did on Exam A

Explanations:

Note that:

[tex]\begin{gathered} z-\text{score = }\frac{x-\mu}{\sigma} \\ \text{where }\mu\text{ represents the mean} \\ \sigma\text{ represents the standard deviation} \end{gathered}[/tex][tex]\begin{gathered} \text{For Exam A:} \\ x\text{ = 150} \\ \mu\text{ = 100} \\ \sigma\text{ = 25} \\ z-\text{score = }\frac{150-100}{25} \\ z-\text{score = 2} \end{gathered}[/tex]

Since we want Allison to perform similarly in Exam A and Exam B, their z-scores will be the same

Therefore for exam B:

[tex]\begin{gathered} \mu\text{ = 200} \\ \sigma\text{ = 40} \\ z-\text{score = 2} \\ z-\text{score = }\frac{x-\mu}{\sigma} \\ 2\text{ = }\frac{x-200}{40} \\ 2(40)\text{ = x - 200} \\ 80\text{ = x - 200} \\ 80\text{ + 200 = x} \\ x\text{ = 280} \end{gathered}[/tex]

Allison must score 280 on Exam B to do equivalently well as she did on Exam A

Isaiah is a plumber. One day he receives a house call from a potential customer in a differentcity. The distance on a map between his home and the customer's home is 8 inches. What isthe actual distance between Isaiah's home and the customer's home if the scale of the map is1 inch = 1 mile?

Answers

Given:

The distance on a map between his home and the customer's home, D=8 inches.

In the map, 1 inch=1 mile.

The actual distance between Isaiah's home and the customer's home is,

[tex]\begin{gathered} \text{Actual distance=8 inches}\times\frac{1\text{ mile}}{1\text{ inch}} \\ =8\text{ miles} \end{gathered}[/tex]

Therefore, the actual distance between Isaiah's home and the customer's home is 8 miles.

A park meadow is planted with wildflowers. The Parks Department plans to extend the length of the rectangular meadow by x meters. Which expressions represent the total area, in square meters, after the meadow's length is increased? Select all that apply. 15. A 310 + x B 15.5(20x) C 20x + 15.5 D 15.5x + 310 E 15.5(20 + x) F 35.5 + x Ilse the distributi

Answers

We have the following:

The area would be the length by the width, but since x amount was added to the length, it would be like this

[tex]\begin{gathered} A=w\cdot l \\ w=15.5 \\ l=20+x \end{gathered}[/tex]

replacing

[tex]A=15.5\cdot(20+x)=310+15.5x[/tex]

Therefore, the answer is E and D

I need help figuring out how to solve the length

Answers

We have the parallel sides of the rectangle are equal, therefore:

[tex]\begin{gathered} RS=QP=4x+3 \\ \text{and} \\ SP=RQ=5x \end{gathered}[/tex]

The perimeter is the sum of all sides, then:

[tex]RS+QP+SP+RQ=222[/tex]

Substitute the given data:

[tex](4x+3)+(4x+3)+5x+5x=222[/tex]

And solve for x:

[tex]\begin{gathered} 4x+3+4x+3+5x+5x=222 \\ 18x+6=222 \\ 18x+6-6=222-6 \\ 18x=216 \\ \frac{18x}{18}=\frac{216}{18} \\ x=12 \end{gathered}[/tex]

Next, we find the length of side RS:

[tex]RS=4x+3=4(12)+3=48+3=51[/tex]

Answer: RS = 51 units

Can you please help me with 44Please use all 3 forms such as :up/down, as_,_ and limits

Answers

Given:

[tex]h(x)=(x-1)^3(x+3)^2[/tex]

The x-intercepts of the given polynomial are

[tex]x-\text{intercepts }=1\text{ (multiplicity 3) and -3 (multiplicity 2)}[/tex]

Substitute x=0 in h(x) to find y-intercepts.

[tex]\text{ y-intercepts =}(-1)^3(3)^2=-9[/tex][tex]\lim _{x\to-\infty}h(x)=\lim _{x\to-\infty}(x-1)^3(x+3)^2=-\infty[/tex]

[tex]as\text{ x}\rightarrow-\infty,\text{ h(x)}\rightarrow-\infty[/tex]

[tex]\lim _{x\to\infty}h(x)=\lim _{x\to\infty}(x-1)^3(x+3)^2=\infty[/tex]

[tex]as\text{ x}\rightarrow\infty,\text{ h(x)}\rightarrow\infty[/tex]

The graph of the given polynomial h(x) is

The degree of the polynomial is 6=even and the leading coefficient=1=positive.

Both ends of the graph point up.

End behaviour is

up/up.

Not a timed or graded assignment. Quick answer = amazing review :)

Answers

The question is given to be:

[tex]\sqrt[]{\frac{64}{100}}[/tex]

Recall the rule:

[tex]\sqrt[]{\frac{a}{b}}=\frac{\sqrt[]{a}}{\sqrt[]{b}}[/tex]

Therefore, the expression becomes:

[tex]\sqrt[]{\frac{64}{100}}=\frac{\sqrt[]{64}}{\sqrt[]{100}}[/tex]

Recall that:

[tex]\begin{gathered} 8\times8=64,\therefore\sqrt[]{64}=8 \\ \text{and} \\ 10\times10=100,\therefore\sqrt[]{100}=10 \end{gathered}[/tex]

Hence, the expression becomes:

[tex]\frac{\sqrt[]{64}}{\sqrt[]{100}}=\frac{8}{10}[/tex]

Dividing through by 2, we have:

[tex]\frac{8}{10}=\frac{4}{5}[/tex]

Therefore, the answer is:

[tex]\sqrt[]{\frac{64}{100}}=\frac{4}{5}[/tex]

Find f(-4) and f(3) for the following funxripnf(x)=3x

Answers

Given the function:

[tex]f(x)=3x[/tex]

• You need to substitute this value of "x" into the function:

[tex]x=-4[/tex]

And then evaluate, in order to find:

[tex]f(-4)[/tex]

You get:

[tex]f(-4)=3(-4)[/tex][tex]f(-4)=-12[/tex]

Remember the Sign Rules for Multiplication:

[tex]\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=- \end{gathered}[/tex]

• Substitute this value of "x" into the function:

[tex]x=3[/tex]

Then:

[tex]f(3)=3(3)[/tex]

Evaluate, in order to find:

[tex]f(3)[/tex]

You get:

[tex]f(3)=9[/tex]

Hence, the answer is:

[tex]\begin{gathered} f(-4)=-12 \\ f(3)=9 \end{gathered}[/tex]

An athlete runs at a speed of 9 miles per hour. If one lap is 349 yards, how many laps does he run in 22 minutes

Answers

The athlete will cover 17 yards in 22 minutes of his running.

What is unitary method?

The unitary method is a method in which you find the value of a single unit and then the value of a required number of units.

Given is an athlete who runs at a speed of 9 miles per hour and one lap is 349 yards.

We will use the unit conversions to solve the given problem.

The speed of the athlete is 9 mph. We can write it as -

9 mph = (9 x 1760) yards per hour = 15840 yards per hour.

15840 yards per hour = (15840/60) yards per minute = 264 yards per min.

Total yards covered in 22 minutes = 22 x 264 = 5808 yards

one lap is equivalent to 349 yards.

1 yard is equivalent to (1/349) laps

5808 yards are equivalent to (5808/349) or 16.6 yards or approximately 17 yards.

Therefore, the athlete will cover 17 yards in 22 minutes of his running.

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question given below slove the following equations for r4al x and y .

Answers

S={(-24,7/3)}

1) When we're dealing with Complex Numbers we can rewrite this expression:

[tex](3+4i)^2-2(x-yi)=x+yi[/tex]

Considering that their real and their imaginary parts can be taken as equal, so:

[tex]\begin{gathered} (3+4i)^2-2(x-yi)=x+yi \\ (3+4i)^2-2(x-iy) \\ 9+24i+16i^2+2x+2yi \\ \end{gathered}[/tex]

2) Rewrite that into the Standard form for complex numbers y= ax +bi combining like terms:

[tex]\begin{gathered} 9+24i-16+2x+2yi \\ (-7-2x)+i(24+2y)\text{ = x+ iy} \\ \end{gathered}[/tex]

Finally writing those two expressions as a System of equations we have:

[tex]\begin{gathered} \begin{cases}-7-2x=\text{ x} \\ 24+2y=y\end{cases} \\ -7-2x=x\Rightarrow-7=2x+x\Rightarrow3x=7\Rightarrow\frac{3x}{3}=\frac{7}{3} \\ 24+2y=y\Rightarrow24=-2y+y\Rightarrow-y=24\Rightarrow y=-24 \\ S=\mleft\lbrace(\frac{7}{3},-24)\mright\rbrace \end{gathered}[/tex]

3) Hence, the answer is S={(-24,7/3)}

What is the slope of the line that passes through (5,4) and (7,10)a.3b. -3 C. 2D.-2

Answers

To find a slope of a line we need two points, so we will do it as follows.

[tex]m=\frac{\Delta y}{\Delta x}=\frac{10-4}{7-5}=\frac{6}{2}=3[/tex]

Therefore it is (a) the slope is 3.

Answer:

a.3

Step-by-step explanation:

To find the slope, use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 10-4)/(7-5)

   = 6/2

   = 3

2. State two (2) values of θ (theta) to the nearest degree forsin θ = − 0. 966

Answers

To find a value of θ theta given a value of sin(θ) we must use the arcsin function, it receives a value of an sin as argument and returns the value of the angle θ. Then we must use a calculator and input

[tex]\begin{gathered} \theta=\arcsin\left(x\right) \\ \\ \theta=\arcsin(-0.966) \\ \\ \theta=−75 \end{gathered}[/tex]

The result is already rounded to the nearest degree. Therefore, one value of θ that satisfies sin θ = −0.966 is θ= -75°

Now to find the other value we will look at the symmetry in the trigonometric circle:

Then, the other value of theta will be

[tex]\begin{gathered} \theta_2=-75°-30° \\ \\ \theta_2=105° \end{gathered}[/tex]

Final answer:

[tex]\begin{gathered} \theta=-75° \\ \theta_2=-105° \end{gathered}[/tex]

Using the Distributive Property, which of the following expressions are equivalent to 7 x 6? Select all that apply. A. (6 x 7)+(6 x 7)
B. (5×6) + (2 × 6)
C. (7 x 6) + (1 x 6)
D. (7 x 6) + (2 x 6)
E. (2 x 6)+(5 x 6)

Answers

By using the Distributive Property, the equivalent expression to 6 x 7 is option (B) (5 x 6) + (2 x 6) and option (E) (2 x 6) + (5 x 6).

Distributive property:

The distributive Property defines that when a factor is multiplied by the addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.

This property can be stated symbolically as:

A ( B+ C) = (A x B) + (A x C)

Where A, B and C are three different values.

Given,

Here we have the expression 7 x 6.

Now, we need to find the equivalent expression by using the distributive expression.

AS per the definition of distributive property,

First we have o identify in which term is got separated,

Here they separated the term 7.

So, there three way for dividing it,

They are,

6 + 1 = 7

2 + 5 = 7

3 + 4 = 7

Based on these, we have two way to write the expression,

one is,

(5 x 6) + (2 x 6)

Another way is,

(2 x 6) + (5 x 6)

So, the correct options are option (B) and (E).

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