Solve the equation.
- 2(2x - 4) = 4x
(Simplify your answer.)

Using the distributive property, the equivalent expressions are given as follows:

The distributive property is when the outside term of an expression multiplies all the inside terms, keeping the inside operations, as the following example:

a(b + c) = ab + ac.

For this problem, the numbers can be decomposed as follows:

Applying the distributive property, the equivalent expressions are:

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Answer:

[tex]\textsf{An equation of the parallel line is $y = \boxed{3x+2}$}[/tex]

[tex]\textsf{An equation of the perpendicular line is $y = \boxed{-\dfrac{1}{3}x+\dfrac{16}{3}}$}[/tex]

Step-by-step explanation:

Point-slope form of a linear equation:

[tex]\boxed{y-y_1=m(x-x_1)}[/tex]

Where:

Given:

If two lines are parallel, they have the same slope.

Therefore, the slope of the line that is parallel to the given equation is 3.

To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-5=3(x-1)[/tex]

[tex]\implies y-5=3x-3[/tex]

[tex]\implies y-5+5=3x-3+5[/tex]

[tex]\implies y=3x+2[/tex]

If two lines are perpendicular, their slopes are negative reciprocals.

Therefore, the slope of the line that is perpendicular to the given equation is -¹/₃.

To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-5=-\dfrac{1}{3}(x-1)[/tex]

[tex]\implies y-5=-\dfrac{1}{3}x+\dfrac{1}{3}[/tex]

[tex]\implies y-5+5=-\dfrac{1}{3}x+\dfrac{1}{3}+5[/tex]

[tex]\implies y=-\dfrac{1}{3}x+\dfrac{16}{3}[/tex]

Answer:

enjooooooooooooyyyyyyyyyyy

The time that it would take for you heart to beat 700,000 times is

8days 2hours 26 mints 40second.

To calculate at this rate of heart to beat 700,000 times we take :

It should be noted that the heart beats in a day = 86400 times

(24 hours = 86400 times)

Takes about 1 hour for a heart to beat  = 3600times

Takes about 15 mints for a heart to beat  = 900times

Takes about 60 sec for a heart to beat  = 60times

Therefore,

the number of days will be given as

= 700000 / 86400

= 8.10 days

=  8days 2hours 26 mints 40second.

The time that it would take for you heart to beat 700,000 times is

8days 2hours 26 mints 40second.

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Answer:

-22

Step-by-step explanation:

Let's solve the problem,

→ -3 - {3 - [-3(2 + 4) - (-2)]}

→ -3 - {3 - [-18 + 2]}

→ -3 - {3 + 16}

→ -3 - 19 = -22

So, the answer is -22.

37 centimeters is equal to approximately 14.5 inches.

We know that 1 cm is equal to 0.39 inches.

So to convert 37 cm to inches we multiply 37 with 0.39

37×0.39=14.47 inches

The length is approximately 14.5 inches (rounded to the nearest tenth)

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Answer:

2.7

Step-by-step explanation:

Convert centimeters to inches by multiplying:

70.39=2.73

So, 7 centimeters is approximately 2.73 inches.

Now round to the nearest tenth.

2.73 → 2.7

7 centimeters is the same as approximately 2.7 inches.

Answer:

3 minutes

Step-by-step explanation:

there are many ways to answer this question you can on it later but im going to write the easiest here

4 plates is 2 minutes

find how many minutes for one plate and times it by 6

2 ÷ 4 = 1/2 minutes or 30 seconds

therefore;

1/2 × 6 = 3 minutes

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Answer:

since Bus A runs every 10 minutes while Bus B runs every 14 minutes

first add the minutes to get equivalent value

=10+14

=24

the value gotten will be added to the time

=24mins+11hrs

=11:24mins

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3 Answers: Choice A, Choice B, Choice E

=========================================================

Explanation:

We have four copies of x in the original expression. So that accounts for the 4x. In other words, 4x = x+x+x+x. Multiplication is used for repeated addition.

Also, the other terms add to 15+5+15+5 = 20+20 = 40

Therefore, we end up with 4x+40 from choice A.

-----------------------------

Once we get to 4x+40, we can factor out 2 from it like so

4x+40

2*2x + 2*20

2(2x+20) which is choice B

I used the distributive property to factor. That rule is a(b+c) = ab + ac

-------------------------------

Choice C is not one of the answers. We can determine this fairly quickly by noting that the expression in choice C talks about a quadratic, but the original expression given to us is linear.

Choice D is a similar story to choice C.

--------------------------------

Choice E is another answer

This is because we have two copies of (x+15), so that gives 2(x+15)

We also have two copies of (x+5) to get 2(x+5)

Answer:

[tex]1[/tex] and [tex]6[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote one of the integers. Since the two integers add up to [tex]7[/tex], the other integer would be [tex](7 - x)[/tex].

The sum of the squares of these integers is [tex]37[/tex]. In other words:

[tex]x^{2} + (7 - x)^{2} = 37[/tex].

Expand [tex](7 - x)^{2}[/tex] using binomial expansion. Simplify and rewrite this equation and solve for [tex]x[/tex].

[tex]2\, x^{2} - 14\, x + 12 = 0[/tex].

[tex]x^{2} - 7\, x + 6 = 0[/tex].

Using the quadratic formula or factorization, [tex]x = 1[/tex] or [tex]x = 6[/tex]. Thus, the two integers are [tex]1[/tex] and [tex]6[/tex].

Answer:

Down Here ↓↓↓↓

Step-by-step explanation:

Hello!

Let's take an example: x > y

The rule that we currently have would state that -x < -y.

Now, let's substitute values for x and y. Say x is 5 and y is -3.

5 is greater than -3 (x > y), but -5 would be less than -3. (-x < -y). Hence the inequality would be true.

We can also take a look at this graphically on a number line. Turning a number negative is simply reflecting it over value 0.

As you can see, flipping the signs would change the values. To keep the inequality accurate, we reverse the inequality sign as well.

Answer:12?

Step-by-step explanation:

A=L x W

Answer:

the total area is 20

Step-by-step explanation:

next time you can just count the boxes that's how I answer these types of questions.

Answer:

so the answer 1904

Step-by-step explanation:

because 34 x 56 = 1904

There are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.

Here, we have to form the three groups with the digits 1 to 9, we need to consider that the first group of two digits multiplied by the second group of three digits should result in a four-digit number.

The third group will consist of the remaining four digits.

Let's try different combinations:

Group 1 (two digits): 1 and 2

Group 2 (three digits): 3, 4, and 5

Group 3 (four digits): 6, 7, 8, and 9

Now, let's calculate the product of the first group (1 and 2) and the second group (3, 4, and 5):

12 * 345 = 4140

So, when we arrange the digits 1 to 9 as described above, we get the product 4140, which is a four-digit number.

We can also verify the other six possible combinations using different arrangements of the digits into three groups, and each combination should result in a four-digit number when the first group is multiplied by the second group.

Here are the other six possible combinations:

Group 1 (two digits): 1 and 3, Group 2 (three digits): 2, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9

13 * 245 = 3185

Group 1 (two digits): 1 and 4, Group 2 (three digits): 2, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9

14 * 235 = 3290

Group 1 (two digits): 1 and 5, Group 2 (three digits): 2, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9

15 * 234 = 3510

Group 1 (two digits): 2 and 3, Group 2 (three digits): 1, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9

23 * 145 = 3335

Group 1 (two digits): 2 and 4, Group 2 (three digits): 1, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9

24 * 135 = 3240

Group 1 (two digits): 2 and 5, Group 2 (three digits): 1, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9

25 * 134 = 3350

So, there are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.

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Answer:

2:5

Step-by-step explanation:

WHichever one they ask you for first is the first number in the ratio. Meaning 2 solid figures are 2:1 plain figures.

Answer:

C. [tex]2^{3} x3^{2}[/tex]

Step-by-step explanation:

[tex]2^{3} x3^{2}[/tex]

[tex]2^{3} =8[/tex]

[tex]=8x[/tex]·[tex]3x^{2}[/tex]

[tex]3^{2} =9[/tex]

[tex]=8x[/tex]·[tex]9[/tex]

Then multiply 8 · 9 = 72

[tex]=72[/tex]

hopefully this helps you !

Answer:

Jim Shue

Step-by-step explanation:

I think not sure

Answer: 7/2

Step-by-step explanation:

Answer: 4 points

Step-by-step explanation:

The minimum number of points needed to define two distinct planes is 4 points. Two distinct planes can be defined by 4 points under the conditions that the two distinct planes intersect at a line, and two points exist on that line that are shared between the planes.

Answer:

One line of intersection (three points of intersection)

Step-by-step explanation:

When two planes intersect, they don't form points of intersection, but they form a line of intersection.

From equation of a line,

[tex]{ \tt{ax + by + cz = 0}}[/tex]

x, y, z are points of intersection

If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be 0.9.

Confidence level:

Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.

For example,

A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.

Confidence Coefficient:

Confidence coefficient states the confidence level stated as a proportion, rather than as a percentage.

For example, if you had a confidence level of 99%, the confidence coefficient would be .99.

Given,

Here we know that the confidence level is 90%, now we have to find the confidence coefficient of it.

Based on the definition,

The confidence coefficient for 90% confidence level is 0.9.

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The probability of selecting both defective gadgets out of 100 gadgets is 1/110, which is calculated using the basic concepts of probability theory.

What is a random experiment?

An experiment that is repeated several times and produces more than one possible outcome is called as the random experiment. It contains a well-defined set of values which constitutes a sample space. Eg: Rolling a die, tossing a coin etc.

Calculation of the probability of selecting both gadgets as defective

The total amount of gadgets = 100

Number of defective gadgets = 10

The probability of selecting a defective gadget is 10 / 100 or 1 / 10

Now, the total number of gadgets and defective gadgets are decreased by 1

So, the probability of selecting another gadget as defective is 9 / 99 or 1 / 11

P(E) = P(when two selected gadgets are defective) = 1 / 10 x 1 / 11

P(E) = 1 / 110

Hence, the probability of selecting both defective gadgets is 1/110.

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Answer:

8 minutes

Step-by-step explanation:

The formula is (2x60)/15=8.

Answer:

X=4/3

Step-by-step explanation:

Answer:The answer would be x=2/3

Step-by-step explanation:Bring 4x over to one side with -2x and bring 5 and 1 over to he other side with -3 and the equation becomes -2x-4x=-3-5-1 then you simplify and it becomes -6x=-9 then you divide and the answer would be x=2/3

Answer:  The customer will pay 1.69$ for the mulch.

Step-by-step explanation:

7.30 = 1 Pound

0.3 = 3/10

3/10 x 7.30 or 3/10 of 7.30 = 2.19

2.19

2.19 = without coupon

1.69 = with coupon.

The total with 50 cents off is 1.69$.

Answer:

ik what you ment

this is your answer 45,435,439.87

Step-by-step explanation:

By assuming that both DVD's cost $25 or less, we will reach an absurd. In that way we conclude that at least one of the two DVD's costs over $25.

We know that Isaac bought two DVD's and spent over $50.

Let's define the variables:

Because the cost is over $50 we can write the inequality:

x + y > $50

Here we want to prove that at least one of the two DVD's costed over $25, now let's find an absurd here, let's assume that neither of the DVD's costed over $25, then we can write:

x ≤ $25

y ≤ $25

So we have a set of 3 inequalities:

x + y > $50

x ≤ $25

y ≤ $25

Now, the maximum values that x and y can take are $25, if we use these values in the first inequality we will get:

$25 + $25 > $50

$50 > $50

So this is an absurd, this means that we can't assume that neither of the DVD's costs over $25, then we conclude that at least one of the DVD's costs over $25, which is what we wanted to prove.

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Applying exponential properties, we have that the solution to the given expression is:

[tex]-\frac{125}{343}[/tex]

When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.

In this problem, we have that:

Negative base with odd exponent, hence the solution is negative and given as follows:

[tex]-\frac{125}{343}[/tex]

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Answer: -82

Step-by-step explanation: Substitute the values  then do order of operations

The total length will she need if she is planning on making four chairs is 42 inches.

It should be noted that the chair calls for six pieces that are 10 1/2" , therefore, the total length will she need if she is planning on making four chairs will be:

= 10 1/2 × 4

= 10.5 × 4

= 42 inches.

The total length is 42 inches.

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Complete question

laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 10 1/2". what total length will she need if she is planning on making four chairs?

Answer:

29.65

Step-by-step explanation: