3n + 6n -4 = 2n + 2 + 5n​

Answer:

X miles ( 35, 125, 265, 310)

m = 35 + 45x

755

Step-by-step explanation:

Hope this helps, btw have an awesome day

Answer:

answer is B

Step-by-step explanation:

Answer:

x < -5

Step-by-step explanation:

3 ( -2x - 4 ) > 18

→ Expand the brackets

-6x - 12 > 18

→ Add 12 to both sides

-6x > 30

→ Divide both sides by -6

x < -5

Answer:

[tex]\boxed {\boxed {\sf x< -5}}[/tex]

Step-by-step explanation:

We are asked to solve the following inequality for x.

[tex]3(-2x-4) > 18[/tex]

Solve for x by isolating it and performing the inverse operations.

3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.

[tex]\frac {3(-2x-4)}{3} > \frac{18}{3}[/tex]

[tex](-2x-4) > \frac{18}{3}[/tex]

[tex]-2x-4 > 6[/tex]

4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.

[tex]-2x-4+4 > 6+4 \\[/tex]

[tex]-2x > 10[/tex]

x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.

[tex]\frac {-2x}{-2} > \frac {10}{-2}[/tex]

[tex]x> \frac {10}{-2}[/tex]

Since we divided by a negative number, the inequality sign must be flipped.

[tex]x< \frac{10}{-2}[/tex]

[tex]x < -5[/tex]

Answer:

[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]

Step-by-step explanation:

Let the three consecutive integers be x, x + 2 and x + 4

So, the given condition is:

x + x + 2 + x + 4 = 129

3x + 6 = 129

Subtract 6 to both sides

3x = 129 - 6

3x = 123

Divide 3 to both sides

x = 123/3

x = 41

So, the integers are:

x = 41

x + 2 = 41 + 2 = 43

x + 4 = 41 + 4 = 45

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

When the data set has odd number of elements, the median is the middle value.

When a data set has an even number of elements, the median is calculated by averaging the middle two values.

Using the together rate, it is found that:

The together rate is the sum of each separate rate.

In this problem, we have that:

Applying the together rate:

[tex]\frac{1}{x} + \frac{1}{x + 3} = \frac{1}{2}[/tex]

[tex]\frac{x + 3 + x}{x(x + 3)} = \frac{1}{2}[/tex]

[tex]4x + 6 = x^2 + 3x[/tex]

[tex]x^2 - x - 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = -1, c = -6[/tex], hence:

[tex]\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-6) = 25[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{25}}{2} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{25}}{2} = -2[/tex]

We are interested into the positive root, then [tex]x = 3[/tex], [tex]x + 3 = 6[/tex], which means that:

You can learn more about the together rate at https://brainly.com/question/25159431

Answer:

725.623

Step-by-step explanation:

547.40:?

43 :57

?=547.40×57÷43

first you have to pick any two points on the line

(-3,4) and (0,-2)

then you subtract the y values

-2-4= -6

after that you subtract the x values

0 - (-3)= 3

the slope is -6/3, or -2

Answer:

12,16,20,24,28,32,36,40 (continue to add 4)

Step-by-step explanation:

A function that represents the given sequence is f(n) = 4(2+n).

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, Juan saves 12 in the first week of the year, and increases the amount each week by 4, therefore, the difference between the amount of any two consecutive weeks is 4.

Hence, it represents an arithmetic sequence with the first term a₁ = 12 and the common difference d = 4.

The nth term of an arithmetic sequence is given by:

aₙ = a₁ + (n-1)d

Substitute a₁ = 12 sand d = 4 into the above equation:

aₙ = 12 + (n-1)4

   = 12 +4n -4

   = 8 + 4n

   = 4(2+n)

Hence, a function that represents the given sequence is f(n) = 4(2+n).

Learn more arithmetic sequences here:

https://brainly.com/question/15412619

#SPJ2

Answer:

Step-by-step explanation:

40 + 15 + 0.25m = 45 + 0.35m

       55 + 0.25m = 45 + 0.35m

                       10 = 0.10m

                        m = 100 miles

The answer is 10, by using pemdas you can just either add, subtract, multiply or divide.

10

Hi! When you see problems like this, always refer to PEMDAS!

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Also note that you go from left to right and parenthesis is always first!

18(2-1)÷3+4

Start with the parenthesis and subtract 2 from 1. That'll leave you with 1.

18(1)÷3+4

Next is multiplication since there are no exponents. Multiply 18 by 1. That'll leave you with 18.

18÷3+4

Now, divide 18 from 3. That'll leave you with 6.

6+4

Finally, you may add the final two. 6 plus 4 is 10.

With that being said, the correct answer is 10.

Answer:

$35.64

Step-by-step explanation:

9 x 3.96 is 35.64

multiply 9 by 3, then 0.96 and add those answers together.

Answer: 35.64 dollars is your answer

Answer:

31.25

Step-by-step explanation:

Divide 250 by 8=31.25

Answer:

  x > 23/6

Step-by-step explanation:

Solve this one the same way you would a 2-step linear equation.

  6x +3 > 26 . . . . . given

  6x > 23 . . . . . . . . subtract the unwanted constant from both sides (step 1)

  x > 23/6 . . . . . . . .divide both sides by the coefficient of x (step 2)

__

Additional comment

If the coefficient of the variable in a 2-step linear inequality is negative, then the inequality symbol must be reversed when dividing by that negative number.

Answer:

  D.  ∠E ≅ ∠N

Step-by-step explanation:

The pair of sides meet at vertex E in ∆DEF and at vertex N in ∆MNO. Since the sides that make up angles E and N are shown congruent, it is sufficient to show ...

  ∠E ≅ ∠N

Then the SAS congruence postulate can be claimed.

__

Additional comment

The alternative is to show DF ≅ MO. That would allow you to claim SSS congruence. That is not an answer choice.

the inequality is 8 (w+18) ≤ 19

Answer: -15.625

Step-by-step explanation:

Let w represent the number:

8 (w + 18) ≤ 19

[tex]\frac{8\left(w+18\right)}{8}\le \frac{19}{8}[/tex]

[tex]w+18\le \frac{19}{8}[/tex]

[tex]w+18-18\le \frac{19}{8}-18[/tex]

[tex]w\le \:-\frac{125}{8}[/tex]

-125/8 or -15.625

Check:

[tex]8\left(-15.625+18\right)\le \:19[/tex]

[tex]8\cdot \:2.375 \leq 19[/tex]

[tex]19 \leq 19[/tex]

Therefore, the number is -15.625

Step-by-step explanation:

please mark me as brainlest

Answer:

π/10

Step-by-step explanation:

α=-19π/10=-19π/10+2π=(-19π+20π)/10=π/10

Answer:

Step-by-step explanation:

Ask Siri

Answer:

15 lessons for $ 80

Step-by-step explanation:

In case 1

Cost of 1 lesson = $10

In case 2

Cost of 1 lesson = 40/5 = $8

In case 3

Cost of 1 lesson = 80/10 = $8

In case 4

Cost of 1 lesson = 80/15 = $ 5.33

Hence,

The best deal is case 4 i.e 15 lessons for $ 80

Answer:

The answer is C

Step-by-step explanation:

(I'm not completely sure)

Answer:

54

Step-by-step explanation:

9 = 3 x 3

6 = 3 x 2

9 x 6

= 3 x 3 x 3 x 2

= 54

Answer:

54

Step-by-step explanation:

9+9+9+9+9+9 = 54

Hope that helps. Can i have the brainliest :)

Answer:

0, -11

Step-by-step explanation:

y-4=-3(x-(-5))

y-4=-3x-15

y=-3x-15+4

y=-3x-11   the ordered to the origin is -11

the y-intercept is at the point (0, -11)

Hope this helps

Answer:

79 inches

Step-by-step explanation:

1 foot equals 12 inches

6 feet = 6*12 = 72 inches

72+7=79

79 inches

Answer:

For this answer, you need to do a conversion from pounds to grams. 1 pound is equal to 453.592 or just 453.6 grams if rounding is allowed. You would need to multiply 1.25 pounds to the 453.6 grams which would equal 566.99 grams or if you are rounding then it is 567 grams.

Your final answer is 567 grams of sugar.

Answer:

so 2/3X 3/5 + 3

10 + 9 / 15 by LCM method

so 19/15 + 3 = 19/15 + 45/15 = 64/15

hope it helps

Step-by-step explanation:

Answer:

3 2/5

Step-by-step explanation:

2/3 (3/5) + 3

Multiply

6/15 + 3

Reduce fraction

2/5 + 3 = 3 2/5

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

[tex]P(X = r) = nCr * p^{r} * (1 - p)^{n - r}[/tex]

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.