Complete this sentence: In a triangle, the angle with the greatest measure is
always opposite the
A. second-longest side
B. angle with the smallest measure
C. shortest side
D. longest side

Answer:

x>4

Step-by-step explanation:

Use the distributive property to multiply 2 by x−3.

2x−6+5x<9x−14

Combine 2x and 5x to get 7x.

7x−6<9x−14

Subtract 9x from both sides.

7x−6−9x<−14

Combine 7x and −9x to get −2x.

−2x−6<−14

Add 6 to both sides.

−2x<−14+6

Add −14 and 6 to get −8.

−2x<−8

Divide both sides by −2. Since −2 is <0, the inequality direction is changed.

x>-8/-2

Divide −8 by −2 to get 4.

x>4

Please give me the Brainliest answer!!!!

Answer:

x=4

Step-by-step explanation:

First you would distribute the 2 to get

2x-6+5x<9x-14

then you would combine like terms to get 7x

7x-6<9x-14

Third you would take the 7x across to the 9x making 2x (because you change the sign when moving across the =) so

-6<2x-14

Then bring the -14 across to the -6 making it 8

8=2x

then divide both sides by 2

The correct answer is Charlie's lemonade

Explanation:

The quantity of lemon vs sugar depends on the ratio each boy used. In the case of James, the ratio of water to the lemonade mix was 7:2. This means he 2 added scoops of lemonade for every 7 cups of water. On the other hand, the ratio of Charlie was 25: 10, which can be simplified as 5: 2 by dividing both numbers by a common divisor (5). This shows, Charlie's lemonade is stronger because he added the same lemonade mix in a lower amount of water, which would make the lemonade have a stronger flavor.

Answer:

10

Step-by-step explanation:

6x5=30

40-30=10

Answer:

Step-by-step explanation:

C

The required expression that represents the number of years it will take Catherine to earn the same salary as Lola is 75,000n + 4,800n = 80,000n + 3,900n. option C is correct.

Given that,
Catherine earns a yearly salary of $75,000. Lola earns a yearly salary of $80,000. Catherine will receive a salary increase of $4,800 per year, and Lola will receive a salary increase of $3,900 per year.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of years be n
Catherine's income after n year = 75000 + 4800n
Lola's income after n year = 80000 + 3900n
According to the question,
75,000n + 4,800n = 80,000n + 3,900n

Thus, the required expression that represents the number of years it will take Catherine to earn the same salary as Lola is 75,000n + 4,800n = 80,000n + 3,900n. Option C is correct.

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Answer:

An item in a set is called an element.

Step-by-step explanation:

I hope this helps.

Answer:

Your answer is 100. Hope it helped.

Answer:

y = 63 when x = 36

Step-by-step explanation:

The answer is 63 because 36 divide by 8 is 4.5 and 14 times 4.5 equals 63

Hope this helps and can you please mark me brainliest because I just need 4 more brainliest to become expert.

The solution is Option B.

The value of x = 4 is not a solution to the equation | x + 5 | = -9

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the equation be represented as A

Now , the value of A is

| x + 5 | = -9   be equation (1)

On simplifying the equation , we get

The modulus function always returns a positive value

So , when x = 4

Substitute the value of x = 4 in the equation , we get

| 4 + 5 | = -9

| 9 | = -9

And , 9 ≠ -9

Therefore , the equation is False

Hence , the solution is false and the modulus function returns a positive value

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Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x = -9/4

Step-by-step explanation:

−2(x + 1/4) + 1 = 5 ​

Subtract 2 from both sides.

−2(x + 1/4) = 4 ​

Divide both sides by -2.

x + 1/4 = -2

Subtract 1/4 from both sides.

x = -2 1/4

x = -9/4

Answer:

56

Step-by-step explanation:

Answer: it is 3560.77

Answer:

1. is b 2. is a 3. is d

Step-by-step explanation:

:D

Answer:

L = w + 8

P = 2L + 2w

256 = 2 (ancho + 8) + 2w

256 = 2 vías + 16 + 2 vías

256 = 4 semanas + 16

240 = 4w

w = 60

La longitud es 60 + 8 = 68

el ancho es 60

Answer:

$3003

Step-by-step explanation:

Set it up as an fraction

9/100 = x/3300

Cross multiply

100x = 29700

Simplify

100x/100 = 29700/100

Isolate the x

x = 297

297 is how much they will save this year. To find out how much he will pay subtract x from his original payment.

3300 - 297 = $3003

Hope this makes sense.

The length of each side will be 5 yards. The correct option is C.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that a small square garden has an area of 25 square yards. The side of the square will be calculated as,

The formula for the area of the square is,

Area = side²

25 = Side²

Side = √25

Side = 5 yards

Hence, the side of the square will be 5 yards.

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Answer:

34.8

Step-by-step explanation:

36-1.2 = 34.8

Answer:

The area of triangle is 3444 mm².

Step-by-step explanation:

First, you have to convert the length of square into millimeters :

[tex]1cm = 10mm[/tex]

[tex]8.2cm = 10mm \times 8.2[/tex]

[tex]8.2cm = 82mm[/tex]

Next, you have to apply area of square formula, A = length×height :

[tex]area = length \times height[/tex]

[tex]let \: length = 82,height = 42[/tex]

[tex]area = 82 \times 42[/tex]

[tex]area = 3444 {mm}^{2} [/tex]

Answer:3,444 mm^2

Step-by-step explanation:

1 cm is 10 mm, so 8.2 cm is 82 mm. 82 mm x 42 mm = 3,444 mm^2

Answer:

Step-by-step explanation:

Let the number we are looking for be x. If Jack divided 1,826.5 by the number to get a quotient of 18.265, to get the number we will solve the equation;

1,826.5/x = 18.265

Cross multiply

1826.5 = 18.265x

Divide both sides by 18.265

18.265x = 1826.5

18.265x/18.625 = 1826.5/18.625

x =  100

Hence Jack divide 1,826.5 by 100 to get a quotient of 18.265

Here, we are required to find the number Jack divide 1,826.5 by to get a quotient of 18,265?

The number is 100

First, it is important to form an expression from the data given;

Let the no. which Jack divided 1,826.5 by be x.

The result of the division yields a quotient of 18.265.

From the statements above;

1,826.5/x = 18.265

Therefore, 1826.5 = 18.265x.

Therefore, x = 1826.5/18.265 = 100.

Therefore,

the number which Jack divided 1,826.5 by to get a quotient of 18.265 is x = 100.

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Answer: its called a additive inverse

Step-by-step explanation:

Answer:

the opposite positive number is negative, and the opposite to a negative number is positive.

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite number, sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.

Answer:

Lou is correct

Step-by-step explanation:

Let's analyze each statement.

First statement says:

"Jim thinks eight - hundredths is ten times larger than eight - thousandths.

What he is saying is that ten times of eight thousandths is lesser than eight - hundredths.

Now, expressing this in numbers gives:

800/8000 = 10

By inspection, we can see that 800/8000 is equal to 1/10 and not 10 that is given.

Thus, the statement is not correct.

Second statement says;

Lou thinks eight - thousandths is ten times larger than eight hundredths.

What he is saying is that ten times of eight hundredths is smaller than eight thousandths. Expressing this in numbers gives;

8,000/800 = 10

By inspection, 8000/800 gives 10 which corresponds to what is given.

Thus, the statement is correct.

Thus, Lou is correct.

Answer:A ratio is a comparison of two numbers or measurements. A rate is a special ratio in which the two terms are in different units. ... For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces.

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

[tex]z = \dfrac{\bar x - \mu}{\sigma}[/tex]

if x > 10.2

[tex]z = \dfrac{10.2- 10}{0.1}[/tex]

[tex]z = \dfrac{0.2}{0.1}[/tex]

z = 2

If x < 9.8

[tex]z = \dfrac{9.8- 10}{0.1}[/tex]

[tex]z = \dfrac{-0.2}{0.1}[/tex]

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

[tex]z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

[tex]z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}[/tex]

[tex]z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}[/tex]

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

[tex]z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

[tex]z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}[/tex]

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

a. 0.7526

b. 1

Given that:

[tex]\sigma = 0.1\\\mu = 10\\[/tex]

It is given that item is acceptable if 9.8 < X < 10.2

Calculating standard variate value for :

1. x = 9.8:

[tex]z = \dfrac{x - \mu}{\sigma}\\[/tex]

z = -2

2. x=  10.2

[tex]z = \dfrac{x - \mu}{\sigma}\\[/tex]

z = 2

Now we can convert P( 9.8 < X < 10.2) to P(-2 < Z < 2).

Calculating

P(-2 < Z < 2) = P(Z <2) - P(Z < - 2)

                   = 0.9772 - 0.0227           (refer these values from z score table)

                   =  0.9545

Thus, the probability that an item from that population if randomly selected, it has 0.9545 probability to be acceptable.

And thus probability of an item to be defective is 1 - 0.9545 = 0.0455.

The batch size is 1000 unit.

The probability that at most 5% items are defective is calculated by z scores:

[tex]z = \dfrac{0.05-0.045}{\sqrt[2]{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

or

z = 0.6828

P( at most 5% defective) =    [tex]P(Z \leq 0.6828)[/tex]

= 0.7526 ( from z score table).

[tex]z = \dfrac{0.85-0.9545}{\sqrt[2]{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

or

z = -15.8

and thus

P( at least 85% acceptable ) = P(Z >= -15.8) = 1- P(Z < -15.8)

P( at least 85% acceptable ) = 1 - 0 = 1

The z score tables give p values.

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Answer:

A. (x-5)(x-7)

B. It means the zeroes of the graph are at (5,0) and (7,0)

Step-by-step explanation:

A

find what + what equals -12, and multiples to 35.

List all multiples of 35.

1 35

5 7

- 12 is negative so that means it is -5 and -7

(x-5)(x-7)

B

The factor numbers are where the zeroes on a graph are, but whatever is in parenthesis, the number is opposite on a graph (e.g. if it was (x-3), the zero would be (3,0)

Answer:

A. (x-5)(x-7)

B. It means the zeroes of the graph are at (5,0) and (7,0)

Step-by-step explanation:

Answer: x=12

Step-by-step explanation: x - 5 =12 the inverse operation of subtracting is adding so add 5 to both sides and you are left with x=7 + 5 the 5 on the left side cancels each other out so now all you do is add 5 to 7 and your left with x = 12