4* 5+ (14 + 8) - 369

The exact answer is 4√2 + 4

The decimal answer is 9.6568 ( round the answer as needed.)

See the attached picture:

Answer: 1.05 ·10⁴ mosquitoes

Step-by-step explanation:

1,000mosquitoes/hour x 10.5hours =10,500 mosquitoes

Now you have to move decimal point as many space as needed left so that the number is less than ten.

10,500 ↪ 1.0500 because I moved decimal point 4 spaces, its 10⁴

Answer: 1.05 ·10⁴ mosquitoes

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​

Answer:

18 in

Step-by-step explanation:

A=1/2 bh

180 = (20* h)/2

180*2 = 20*h

(180*2)/20 = h

360/20 = h

18 in = h

Answer:

all work is shown and pictured

Answer:

26.307 miles per gallon

Step-by-step explanation:

Divide the miles traveled by the number of gallons used.

In this case, divide 342 by 13 to get the answer of 26.307 miles per gallon.

Answer:

- 4(x + 3)(x - 2)

Step-by-step explanation:

Given

- 4x + 24 - 4x² ← rewrite in standard form, that is

- 4x² - 4x + 24 ← factor out - 4 from each term

= - 4(x² + x - 6) ← factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, hence

x² + x - 6 = (x + 3)(x - 2), and

4x² - 4x + 24 = - 4(x + 3)(x - 2)

Answer:84

Step-by-step explanation:

p = perentsis acccording to pemdas you have to multiply then 8x2  =16 +5=21

21 x4 = 84

Answer: c=11, m=28

Step-by-step explanation:

c= Chris's score

m= Mike's score

c+m=39                 we know from the equation that their scores

                              add up to 39, so this equation is a good starting

                              point.

c+2(c+3)=39          we also know that Mike's score is twice the sum of Chris's

                              score and 3 so we can substitute that in for his score.

                              now we can solve.

c+2c+6=39             distribute

3c+6=39                 combine like terms

   -6  -6                  

3c=33                     addition property of equality

÷3  ÷3          

c=11                         multiplication property of equality

Now that we know Chris's score, we simply substitute that number in in our simple equation for earlier to find Mike's score.

11+m=39                  substituted in 11 for c

-11     -11                  

m=28                       addition property of equality

There you go! Don't worry, I had a lot of trouble with these types of problems too. That's why I'm so good at them now Hope this helps!

Answer:

cylinder has greater volume

Answer:

The required solution is: [tex]x<\frac{23}{8}[/tex] or x<2.875 or [tex]\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\frac{23}{8}\right)\end{bmatrix}[/tex]

Step-by-step explanation:

Consider the provided inequity.

[tex]24x>18(4x-6)-30[/tex]

We need to solve the above inequity of x.

Open the parentheses.

[tex]24x>18\times 4x-18\times 6-30[/tex]

[tex]24x>72x-108-30[/tex]

[tex]24x>72x-138[/tex]

Subtract 72x from both sides.

[tex]24x-72x>72x-138-72x\\-48x>-138[/tex]

Multiply both sides by -1 and reverse the inequality.

[tex]\left(-48x\right)\left(-1\right)<\left(-138\right)\left(-1\right)[/tex]

[tex]48x<138[/tex]

Divide both side by 48.

[tex]x<\frac{23}{8}[/tex]

Hence, the required solution is: [tex]x<\frac{23}{8}[/tex] or x<2.875 or [tex]\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\frac{23}{8}\right)\end{bmatrix}[/tex]

Answer:  The required value of x is 11.

Step-by-step explanation:  Given that R is the midpoint of the line segment QS, where

QR=5x-7 and QS=96.

We are to find the value of x.

Since the point R is the midpoint of the segment QS, so we must have

[tex]QR=SR=\dfrac{1}{2}QR\\\\\\\Rightarrow QR=\dfrac{1}{2}QS\\\\\\\Rightarrow 5x-7==\dfrac{1}{2}\times96\\\\\Rightarrow 5x-7=48\\\\\Rightarrow 5x=48+7\\\\\Rightarrow 5x=55\\\\\Righatrrow x=\dfrac{55}{5}\\\\\Rightarrow x=11.[/tex]

Thus, the required value of x is 11.

If R is the midpoint of QS, then x = 11.

We have,

If R is the midpoint of QS, then QR is equal in length to RS.

Therefore:

QR = RS

Given that QR = 5x - 7 and QS = 96, we can set up an equation:

5x - 7 = QS/2

Now, plug in the value of QS:

5x - 7 = 96/2

5x - 7 = 48

Add 7 to both sides:

5x = 48 + 7

5x = 55

Now, divide both sides by 5 to isolate x:

x = 55 / 5

x = 11

So, the correct value of x is 11.

Thus,

If R is the midpoint of QS, then x = 11.

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Answer:

12x³ - 7x² + 11x + 14

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute both parenthesis

= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms

= 12x³ - 7x² + 11x + 14

Answer:

10

Step-by-step explanation:

If W is the present age of the woman and D is the present age of the daughter, then:

W = 4D

W + 5 = 3(D + 5)

Substituting the first equation into the second:

4D + 5 = 3(D + 5)

4D + 5 = 3D + 15

D = 10

The daughter is 10 years old.

Sadie’s family’s car is slightly more fuel efficient than Nanette’s family’s car.

Answer:

Sadie's car is more fuel efficient.

Step-by-step explanation:

Consider the provided information.

For comparison both quantity should be same. So convert miles per gallon into kilometers per liter.

Sadie tells her family's car is getting 42 miles per gallon.

To convert miles per gallon into liters per km use the formula:

1 miles per gallon = 0.425144 kilometers per liter

Multiply both the sides by 42.

1×42 miles per gallon = 0.425144×42 kilometers per liter

42 miles per gallon = 17.856 kilometers per liter

That means Sadie's car millage is 17.856 kilometer per liter.

Nanette tells Sadie that her family’s car uses 6 liters per 100 km.

6 Liters = 100 km

Divide both sides by 6.

1 Liters = 16.66..

That means Nanette's car millage is approximately 16.67 kilometer per liter.

Hence, Sadie's car is more fuel efficient.

Answer: -9x + 24

Step-by-step explanation:

To do this, we need to multiply each term by -3

So -3(3x -8) turns into

-9x + 24

That’s the answer!

The mean of the given data set, after removing the outlier, is 49.

To determine the mean of a data set, outliers (extremely high or low values) must first be identified and removed. Looking at the given data set: 42, 43, 46, 48, 57, 60, 96, 59, 38, 68, 29; the number 96 is an outlier as it is remarkably higher than the other values.

After removing the outlier, the rest of the data set becomes: 42, 43, 46, 48, 57, 60, 59, 38, 68, 29.

To find the mean (average), sum all these numbers and divide by the count of numbers. The total sum of these numbers is 490, and there are 10 numbers. Therefore, the mean is 49 (490 divided by 10).

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The mean of the data set after removing the outliers is c. 49

From the question, we have the following parameters that can be used in our computation:

The data set

Where, we have

42, 43, 46, 48, 57, 60, 96, 59, 38, 68, 29

The outlier in the data set is 96

If we remove them, we will have the following data set:

42, 43, 46, 48, 57, 60, 59, 38, 68 and 29

The mean of this data set is calculated as follows:

mean = (42 + 43 + 46 + 48 + 57 + 60 + 59 + 38 + 68 + 29) / 10 = 49

Hence, the mean without outliers is 49

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#3 is 40 degrees Clockwise.

The two expressions should be [tex]-4 \div 2 + 8 = 6\ and\ (10 \times -3) \div -5 = 6[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]-4 \div 2 + 8 = 6\[/tex]

6 = 6

And,

[tex](10 \times -3) \div -5 = 6[/tex]

6 = 6

Therefore we can conclude that the two expressions should be [tex]-4 \div 2 + 8 = 6\ and\ (10 \times -3) \div -5 = 6[/tex].

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Two expressions using the given numbers that equal 6 are: Expression 1: 10 - 2 - (-3) + (-5) and Expression 2: 10 - 2 + 8 - (-4) - 5. The calculations are done using the order of operations (PEMDAS).

The task is to create two mathematical expressions using the numbers -4, 10, 8, 2, -3, and -5, which result in 6. We can accomplish this by utilizing basic arithmetic operations such as addition, subtraction, multiplication, or division. The important thing is making sure all operations adhere to the Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Here are the two ways you could form expressions:

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Answer:

[tex]\sqrt{2}[/tex] ≈ 1.414

Step-by-step explanation:

Calculate the distance d using the distance firmula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (- 4, 1)

d = [tex]\sqrt{(-4+5)^2+(1-0)^2}[/tex]

  = [tex]\sqrt{1^2+1^2}[/tex]

  = [tex]\sqrt{2}[/tex] ≈ 1.414 ( to 3 dec. places )

Answer:

d=-8

Step-by-step explanation:

1) Use the Distributive property on the left side of the equation:

3d-24-5=9(d+2)+1

2) Use the Distributive property on the right side of the equation:

3d-24-5=9d+18+1

3) Combine alike terms:

3d-29=9d+19

4) add a 29 to both sides:

3d=9d+48

5) Subtract a 9d from both sides:

-6d=48

6) Divide both sides by -6:

d=-8

Answer:

Step-by-step

Answer:

if i see them it my be 5x6x7=76 6(*)665_+65x673 then add those toether then sub em 56-78-463=738

Step-by-step explanation:

Answer:

The answer is 36

Step-by-step explanation:

we know 42 students arrived after the dance started and 78 arrived in total. You have to subtract 42 from 78. how I remember this: part+part=whole whole-part=part

Answer:

14 / .20 = x

.20 x = 14

x = 14 / .20

x = 70

DOUBLE - CHECK

20 % of 70 = .20 * 70 = 14

Step-by-step explanation:

Hello!

I do believe you meant to say:

"What is the difference between a ray and a line segment?"

The difference between a ray and a line segment is:

A ray has one endpoint and continues in one direction. a ray is infinite

A line segment has two endpoints. a line segment is finite

I hope this helps, and have a nice day!

Answer:

9/10

Step-by-step explanation:

You find the lowest common denominator which is 56 and then, you multiply each numerator by the opposite denominator (3 times 7 and 3 times 8) after that you should get 5 45/50 then you simplify it to get 9/10

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{8}+2=6\qquad\text{subtract 2 from both sides}\\\\\dfrac{x}{8}+2-2=6-2\\\\\dfrac{x}{8}=4\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{x}{8\!\!\!\!\diagup_1}=(8)(4)\\\\x=32[/tex]

Answer:

b = c(pq - a)

Step-by-step explanation:

All we need to do is isolate (solve for) the variable b

a + b/c = pq

Subtract a from both sides

b/c = pq - a

Multiply by c on both sides

b = c(pq - a)

Answer:

b = c(pq - a)

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

I can't see any example but what I would do is first multiply both sides by 3.

4m/3 = 8

4m/3 * 3 = 8 * 3

4m = 24.

The first operation in solving the equation 4m/3 = 8 is multiplying both sides of the equation by 3, which eliminates the fraction and isolates the variable 'm'. After further simplification, the solution to the equation is m = 6.

To solve the equation 4m/3 = 8, the first operation we need to perform is to isolate the variable on one side of the equation. We can do this by multiplying both sides of the equation by 3. This cancels out the fraction on the left side, allowing us to solve for 'm'.

In step by step:

So, "the solution to the equation is m = 6".

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Answer: 2.0 or 2

Step-by-step explanation:

How To Round: 1-4 round down. 5-10 round up.

I hope this helps you!

Answer: 2.0 or just 2

Step-by-step explanation: 3 is lower than 5 so you have to make it a zero