Can anyone help me with this problem?

Answer:

It takes an apprentice four times as long as the experienced plumber to replace the pipes under an old house. It takes them 14 hours when they work together.

Step-by-step explanation:

5/(4x) = 1/14

x = 35/2

The plumber takes x = 35/2 hours to replace the pipes alone.

The apprentice takes 4x = 70 hours to replace the pipes alone.

Answer:

87.5 square inches

Step-by-step explanation:

The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.

Area of the belt knuckle = area of the 4 triangles + area of the rectangle

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 9 inches

height (h) = 2.5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*9*2.5)

= 22.5 inches²

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 4 inches

height (h) = 5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*4*5)

= 20 inches²

✔️Area of the rectangle = l*w

l = 9 inches

w = 5 inches

Area = 9*5 = 45 inches²

✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches

Answer:

Step-by-step explanation:

Answer:

Ok I did this at lightning McQueen speed so it might be wrong, but I got 5/8

Step-by-step explanation:

Actually I checked it and now I'm 98% sure it's right

Answer:

0.9375 ths of a cup of milk

Answer:

75%

88.89%

Step-by-step explanation:

Given :

Mean = 70

Standard deviation = 12

Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :

The minimum proportion of observation between 46 and 94

Chebyshev's theorem :

1 - 1 / k²

k = number of standard deviations from the mean

k = (94 - 70) / 12 = 24 / 12 = 2

Hence, we have ;

1 - 1/2²

1 - 1/4

1 - 0.25 = 0.75

Hence, The minimum proportion of observation between 46 and 94 is 75%

Between 36 and 106 :

k = (106 - 70) / 12 ;

k = 36/12 = 3

Hence,

1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%

The minimum proportion of observation between 34 and 106 is 88.89%

answer is Jack is 89 years old and Priscilla is 69 years old

Step-by-step explanation:

first you would do 158 / 2 and that would equal to 79 so you would have two 79s you would change the first 79 to 69 and you change the second one to 89

Answer:

m= -2 -3

Step-by-step explanation:

Solution :

Given :

Sample mean, [tex]$\overline x = 714.2$[/tex]

Sample size, n = 40

Standard deviation, s = 83.2

∴ The null hypothesis is [tex]$H_0 : \mu = 703.5$[/tex]

   Alternate hypothesis is [tex]$H_a : \mu > 703.5$[/tex]

Test statistic :

[tex]$z = \frac{\overline x - \mu}{s / \sqrt n}$[/tex]

[tex]$z = \frac{714.2-703.5}{83.2 / \sqrt {40}}$[/tex]

z = 0.813

Now at α = 0.05, for a right tailed,

[tex]$z_{critical} = 1.645$[/tex]

Since, [tex]$z < z_{critical}$[/tex] , we fail to reject the null hypothesis.

9514 1404 393

Answer:

  3/7

Step-by-step explanation:

The fraction is ...

  [tex]24\text{ g to }56\text{ g}=\dfrac{24\text{ g}}{56\text{ g}}=\dfrac{3}{7}\cdot\dfrac{8\text{ g}}{8\text{ g}}=\boxed{\dfrac{3}{7}}[/tex]

Answer:

3 / 7

Step-by-step explanation:

Fraction :-

24 g to 56 g

= 24 g / 56 g

= 3/7 + 8 g / 8 g

= 3/7

Answer:

[tex] \frac{b ^{4} }{a ^{2}c ^{2} } [/tex]

Step-by-step explanation:

when dividing subtract the exponents

Answer:

D. 12 units

Step-by-step explanation:

l6l+l-6l=12

add the absolute values.

Answer:

√10

Step-by-step explanation:

Magnitude of a vector:

The magnitude of a vector v = <a,b> is given by:

[tex]|v| = \sqrt{a^2 + b^2}[/tex]

v=<-1,3>

Then:

[tex]|v| = \sqrt{(-1)^2 + 3^2} = \sqrt{1 + 9} = \sqrt{10}[/tex]

[tex]\sqrt{10}[/tex] is the magnitude of the vector.

Answer:

0.16

Step-by-step explanation:

6,357 + 18,219 + 15,205 = 39,781

6,357 ÷ 39,781 = 0.1597

rounded to nearest hundredth its 0.16

Answer:

The mass of the smaller cylinder is 36 grams.

Step-by-step explanation:

Given that two similar cylinders have total surface areas of 45cm² and 20cm², if the larger has a mass of 81g, the following calculation must be performed to determine the mass of the smaller one:

45 = 81

20 = X

(20 x 81) / 45 = X

1620/45 = X

36 = X

Therefore, the mass of the smaller cylinder is 36 grams.

Answer:

66.1

Step-by-step explanation:

Answer:

66.1

Step-by-step explanation

To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth’s place.

Answer:

-8

Step-by-step explanation:

-3x + 7x - 8 = 34 + 9x - 2

-3x + 7x - 9x = 34 - 2 + 8

-5x = 40|: (-5)

x = -8

[tex]{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢  - 5x = 40 \\ ⇢ x = \frac{40}{ - 5} \\ ⇢ x = - 8[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 \times - 8 + 7 \times - 8 - 8 = 34 + 9 \times - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

If A > B (A is greater than B), A will be on the right side of B, and B will be on the left side of A on a number line.

Step-by-step explanation:

This is because as you keep on going right on a number line, the numbers keep getting greater. Same idea vise versa (left side gets lesser). Therefore, if A is greater than B, it will be to the right of B on a number line. Look below for an example:

Answer:

1

[tex]3 + x = {x}^{2} + 3x \\ {x}^{2} + 2x - 3 = 0 \\ ( {x}^{2} + 2x + 1) - 3 - 1 = 0 \\ {(x + 1)}^{2} - 4 = 0 \\ {(x + 1)}^{2} = 4[/tex]

2

[tex] {(x + 1)}^{2} = 4 \\ x + 1 = ±2 \\ x = 1 \: or \: - 3[/tex]

Answer:

first answer is (x+1)^2=4 and the second one is x=-1 plus or minus 2

9514 1404 393

Answer:

Step-by-step explanation:

Write the power of ten in standard form and do the multiplication.

  2.09 × 10^5 = 2.09 × 100,000 = 209,000

  9.4387 × 10^4 = 9.4387 × 10,000 = 94,387

  1.3 × 10^-3 = 1.3 × 0.001 = 0.0013

9514 1404 393

Answer:

  ∠7 = 51°

  ∠8 = 129°

Step-by-step explanation:

All of the obtuse angles are congruent, as are all of the acute angles. The acute and obtuse angles are supplementary.

  ∠8 = ∠1 = 129°

  ∠7 = 180° -129° = 51°

_____

Additional comment

Technically, angles 1 and 8 are called "alternate exterior angles." As such, they are congruent. Angles 7 and 8 form a "linear pair." As such, they are supplementary.

Answer:

well, okay. its basically what you wrote. assuming there was missing information.

let's dive right into it.

we'll assume that the problem asks for integers, whole numbers.

if x would be 0,

we would get 9 numbers out, 0, -1, -2, -3, -4, -5, -6, -7 and -8

if x would one, the range would be from 7 to -8, giving us 16 numbers

if x would be 2, the range would be from 14 to -8, giving us 23 numbers (7 more each time we increasex by one)

so the answer isn't a fixed value, but a function.

7x+9

the plus nine is true when x=0 and is still relevant for every other scenario

Answer:

(2 × 16) - 1

Step-by-step explanation:

31 = 2n - 1

31 + 1 = 2n

32 = 2n

16 = n

therfore, 31 can be written as :-

Answer:

22/100

Step-by-step explanation:

Percent means out of 100

22% is equal to 22/100

Answer:

c

Step-by-step explanation:

Percentage is basically just the number over a hundred.

10% is 10/100 or 1/10

So we do the same thing with 22%

22/100

Answer:

A. 5

Step-by-step explanation:

I assume the definitions are

an = 12 + (n-1)×5

an = an-1 + blank

if this is correct, then we have

a1 = 12

a2 = 12 + 5 = 17 = a1 + 5

a3 = 12 + 2×5 = 22 = a2 + 5

a4 = 12 + 3×5 = 27 = a3 + 5

...

we see, for an we need to add (n-1) times the number 5 to the initial a1 value.

so every new sequence number is larger by 5 than the previous one.

hence the answer.

Answer: 12.04 ft

Step-by-step explanation:

l = h² + r²

9² + 8²

81 + 64 = 145

√145 = 12.04

I hope this helps you.

9514 1404 393

Answer:

  slope = 1

Step-by-step explanation:

In the attachment, we have shown rise and run as 3 units each. The segments could be drawn 1 unit long. In any event, the ratio is the slope:

  slope = rise/run = 3/3

  slope = 1

_____

It is most convenient to draw the rise and run segments from/to places where the line crosses grid intersections. Often, but not always, the y-intercept will be such a point. Then you can look for the nearest grid crossing for figuring rise and run.

Here, the y-intercept is (0, 1), and the closest grid crossing to the right is (1, 2). The rise is 2-1 = 1, and the run is 1-0 = 1. The ratio is 1/1 = 1, same as above. The ratio of rise to run will be the same everywhere for a straight line.

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.