If 6 men can dig 4 ditches in an hour.how many men would be required to dig 6 ditches

Answer:

Step-by-step explanation:

m ∠ 1 = 42 °

m ∠ 2 = m ∠ 4 = m ∠ 9 = m ∠ 12 = ( 180° - 62° - 42° ) = 76 °

m ∠ 3 = m ∠ 6 = m ∠ 7 = 62 °

m ∠ 5 = m ∠ 8 = ( 180° - 62° ) = 118 °

m ∠ 10 = m ∠ 11 = ( 180° - 76° ) = 104 °

Answer:

120 history textbooks

360 physics textbooks

Step-by-step explanation:

Physics textbooks = 3 times the amount of history textbooks

History textbooks = x

Physics textbooks = 3x

480 = x + 3x

= 4x

480/4 = x

x = 120

120 history books sold

480-120 = 360

360 physics textbooks sold

btw sorry if I didn't give enough working or help you understand it I'm not great at this kind of thing

Answer:

Monday: 25

Tuesday: 121

Wednesday: 15

Step-by-step explanation:

Monday: square numbers

[tex] {1}^{2} = 1 [/tex]

[tex]2 {}^{2} = 4[/tex]

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

[tex] {4}^{2} = 16[/tex]

[tex] {5 }^{2} = 25[/tex]

[tex] {6}^{2} = 36[/tex]

Tuesday: add a power of 3

[tex] {3}^{1 } = 3[/tex]

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

[tex] {3}^{3} = 27 [/tex]

[tex] {3}^{4} = 81[/tex]

1+3=4, 4+9=13, 13+27=40, 40+81=121

Wednesday: one less than a power of 2

[tex] {2}^{1} - 1 = 2 - 1 = 1[/tex]

[tex] {2}^{2} - 1 = 4 - 1 = 3[/tex]

[tex] {2}^{3} - 1 = 8 - 1 = 7[/tex]

[tex] {2}^{4} - 1 = 16 - 1 = 15[/tex]

[tex] {2}^{5} - 1 = 32 - 1 = 31[/tex]

[tex] {2}^{6} - 1 = 64 - 1 = 63[/tex]

The management function being performed by Nancy according to the description is; Scheduling/Planning

Management functions simply is a collection of the five broad activities that managers perform in a bid to achieve organizational goals which includes:

Read more on management functions;

https://brainly.com/question/17083312

Answer:

A:2

B:-5

C:8

D:-147

Step-by-step explanation:

A: For this one, you can cancel out the negatives. Then just divide 14 by 7. Your final answer is 2. Final Answer : 2

B: This one you can forget about the negative for the first bit. Just divide 15 by 3 to get 5. Now the negative is only on one side of the equation so therefore we add the negative back into our answer. Final Answer : -5

C: Just divide 32 by 4 to get 8. No removal or substitution is needed for this one because both numbers are positive. Final Answer : 8

D: Multiply both numbers normally forgetting about the negative at first. 49 * 3 is 147. Now one of our numbers contain a negative so we plug back the negative into our answer. Final Answer : -147

Answer:

1)y=3x+2

2)y=-2/2x+4

Step-by-step explanation:

you get the slope from the points and the b from the y intercept.

Area of trapezium= 1/2 × (a+b) × h

= 1/2 × (12 + 8) × 8

= 1/2 × 20 × 8

= 10 × 8

= 80 cm^3

Hope it helps you

a =12

Answer:

Since

a

b

=

c

d

,

we can use an algebraic technique, to get the value of

a

, by isolation and using the golden rule of algebra, "Balancing the equation"

a

40

=

3

10

to isolate

a

, we must eliminate

40

in the left side of the equation by multiplying it by

40

, the golden rule of algebra states that whatever you do in a side of an equation is you also must do it in the other side to keep the equation balanced.

(

40

)

a

40

=

3

10

(

40

)

40

a

40

=

(

40

)

(

3

)

10

a

=

120

10

, we can still simplify the answer giving,

Answer:

20%?

Step-by-step explanation:

I think im wrong but what u can do is u can convert the fraction into a decimal then get ur answer from there.

Answer: P: 6x - 6 + (pi * x/2) A: 3x^2 - 3x - (pi * (x^2)/4)

Step-by-step explanation:

The missing section is a quarter of a circle. It is the same length at 90 degrees difference following an arc. This radius is X, same as the smaller length of the rectangle. The longer length of the rectangle is 2x-3+x, or 3x-3.

Area: Rectangle area is X * (3x-3) or 3x^2 - 3x. Subtract the missing piece. The full area of the circle would be pi * x^2. Divide by 4 for a quarter circle. So the full area would be 3x^2 - 3x - (pi * (x^2)/4).

Perimeter. x + 2x-3 + 3x-3 + the arc. The arc is a quarter of the circle's circumference. pi * 2x over 4. So total perimeter would be 6x-6 + (pi * 2x/4 or pi * x/2).  

Just my best guess tho

Answer:

The unknown number is -2

Step-by-step explanation:

Let n represent the unknown number then...

12=14+n

Subtract 14 from both sides:

12-14=14-14+n

-2=n

n=-2

Answer:

See below.

Step-by-step explanation:

4*-3

A) -12

C) 2*-6

-hope it helps

The expressions that are equivalent to 4 × -3 are A) -12 and C) 2 × -6.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Option A is a straightforward multiplication of 4 and -3, which gives -12.

Option C (2 × -6) is equal to -12.

Option B can be simplified as follows: (-4) - (-4) · (-4) = (-4) - 16 = -20.

Therefore, option B is not equivalent to 4 × -3.

Option D is equal to 1/64.

Option E is equal to 1.

Option F is equal to 2, and option G is equal to 12.

Options B, D, E, F, and G are not equivalent to 4 × -3.

Learn more about the expression here :

brainly.com/question/21751419

#SPJ2

Answer:

  10 mm = 1 cm

Step-by-step explanation:

10 mm = 1 cm

__

The SI prefix "milli-" means 1/1000. The prefix "centi-" means 1/100. Consequently 1 cm = 0.010 m and 1 mm = 0.001 m.

There are 10 mm in 1 cm.

Answer:

Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.

Step-by-step explanation:

hello ur intro

The equation 60.1 = 7.2x + 2.5 can be used to find the number of oranges in the bag is 8.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

A grocer sells oranges in bags. Each empty bag weighs 2.5 ounces and each orange weighs 7.2 ounces.

Khalil buys a bag of oranges that weighs 60.1 ounces.

Let x be the number of oranges.

Then the equation will be

y = 7.2x + 2.5

For y = 60.1, the value of x is

[tex]\rm 60.1 = 7.2x + 2.5\\[/tex]

On simplifying, we have

x = 8

Thus, the number of oranges in the bag is 8.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

X= -5

y= -9

Step-by-step explanation:

7x -4y = 1

4(5x -y = -16)

(7x - 4y = 1) - (20x -4y = -64)

X= -5

y= -9

Answer:

b=-3/4 or b=-0.75

Step-by-step explanation:

[tex]2(-2b+3)=9[/tex]

[tex]2b+3=\cfrac{9}{2}[/tex]

[tex]-2b=\cfrac{9}{3} -3[/tex]

[tex]-2b=\cfrac{3}{2}[/tex]

[tex]b=-\cfrac{\frac{3}{2} }{2}[/tex]

[tex]b=-\cfrac{3}{2\times 2}[/tex]

[tex]b=-\cfrac{3}{4}[/tex]

Hope it helps! :)

Answer:

  not similar; corresponding sides are not proportional

Step-by-step explanation:

If the triangles were similar, corresponding sides would be proportional. That is, you would have ...

  AX/AB = AY/AC

Here, those ratios are ...

  6/24 ≠ 10/35

so, the corresponding sides are not proportional, and the triangles are not similar.

Step-by-step explanation:

An appropriate estimation would be to the ones place.

[tex] \frac{36 \div 4}{40 \div 4} = \frac{9}{10} [/tex]

9/10 (90%) is closer to 1 than to 0.

The estimation for 36/40 is 1.

1/3 (33%) is closer to 0 than to 1.

The estimation for 1/3 is 0.

[tex] \frac{70 \div 10}{100 \div 10} = \frac{7}{10} [/tex]

7/10 (70%) is closer to 1 than to 0.

The estimation for 7/10 is 1.

1/8 (12.5%) is closer to 0 than to 1.

The estimation for 1/8 is 0.

[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] ~\dotfill\\\\ \log_8(9x)\implies \log_8(9)+\log_8(x)[/tex]

Answer: 3-

Step-by-step explanation:

Answer:

We need to see the graph can u show me the graph

Step-by-step explanation:

?

Answer:

a = 1.972

Step-by-step explanation:

a + 3 1/4 = 5 2/9

find a common denominator

a + 3 9/36 = 5 8/36

a = 5 8/36 - 3 9/36

a = 188/36 - 117/36

a = 71/36

a = 1.982

Answer:

1a. 58/99

1b. 53/90

1c. 29/50

Step-by-step explanation:

let's start with the easiest one

1.(c)

0.58 = 58/100 = 29/50

that is the simplest possible form, as 29 is a prime number and not a factor of 50.

1.(a)

0.585858585858... = 58×0.0101010101010101...

now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.

and we find

1/99 = 0.01010101010101...

so, our solution is

58 × 1/99 = 58/99

that is the simplest possible form, as 58 and 99 do not share any factors.

1.(b)

0.5888888888888... = 0.5 + 0.0888888888888... =

= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...

we know how to create 0.11111111111... :

1/9 = 0.111111111111111...

so, our solution is

0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =

= 45/90 + 8/90 = 53/90

this is the simplest possible form, as 53 is already a prime number and not a factor of 90.