do's and donts in handling measuring tools

Answer:

Net Mass = 520 g

Step-by-step explanation:

Given:

Waste = 240 g

Gross mass = 760 g

Find:

Net Mass

Computation:

Net Mass = Gross mass - Waste

Net Mass = 760 g - 240 g

Net Mass = 520 g

Answer:

[tex]x=131.25[/tex]

Step-by-step explanation:

[tex]0.3x+0.65*175=0.5(x+175)[/tex]

[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)

[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)

[tex]-0.2x+113.75=87.5[/tex] (Simplify)

[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]-0.2x=-26.25[/tex] (Simplify)

[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=131.25[/tex] (Simplify)

Hope this helps!

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]

The manager can select a team in 61425 ways.

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Answer:

seventeen degrees(17⁰)

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The product:

[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]

[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]

[tex]A * B = 1 * \frac{1}{3}[/tex]

[tex]A * B = \frac{1}{3}[/tex]

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The quotient:

[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]

Express as product

[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]

[tex]A / B = \frac{1*3}{2*2}[/tex]

[tex]A / B = \frac{3}{4}[/tex]

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

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

[tex]y = \frac{2}{3}[/tex]

The sum:

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

Take LCM

[tex]x + y = \frac{3+4}{6}[/tex]

[tex]x + y = \frac{7}{6}[/tex]

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

[tex]x - \frac{3}{4} \geqslant - \frac{1}{8} [/tex]

[tex]x \geqslant - \frac{1}{8} + \frac{3}{4} [/tex]

Make both fractions to have same denominators by multiply 2 in 3/4 for both numerator and denominator.

[tex]x \geqslant - \frac{1}{8} + \frac{3 \times 2}{4 \times 2} \\ x \geqslant - \frac{ 1}{8} + \frac{6}{8} \\ x \geqslant \frac{5}{8} [/tex]

Hence, the solution is, "x is greater or equal to 5/8."

[tex] \large \boxed{x \geqslant \frac{5}{8} }[/tex]

Answer:

9

Step-by-step explanation:

y-11=25-3y

y + 3y = 25 + 11

4y = 36

y = 36 / 4

y = 9

Hope it will help :)

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Answer:

small rectangle sides are 7.5 and 6

Step-by-step explanation:

Large rectangle perimeter=30+30+24+24=108

Small rectangle perimeter=27

27 is one fourth of 108 so:

small rectangle sides are 30/4 and 24/4

small rectangle sides are 7.5 and 6

Answer:

i have no clue

Step-by-step explanation:

it is really hard and i need help with it myself

Answer:

750 cubic feet

Step-by-step explanation:

Answer:

2.56

Step-by-step explanation:

Step-by-step explanation:

answer for d is 3 over 8....

that's all I know from the qn and can help u... sorry

Answer: what does the question even mean

Step-by-step explanation:

Answer:

6j(5k+3)

Step-by-step explanation:

18j+30jk

Factor out 6.

6(3j+5jk)

Consider 3j+5jk. Factor out j.

j(3+5k)

Rewrite the complete factored expression.

6j(5k+3)

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.

cos θ = base / hypotenuse

Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.

Then the cosine of the angle ∠B will be given as,

cos θ = base / hypotenuse

cos B = 3 / 5

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

Your answer will be (2,4) :)

Answer:

36 pegs (for the hypotenuse)

About 51 pegs (for the legs)

138 pegs (total)

Step-by-step explanation:

Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.

The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.

Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.

Hope it helps!

Answer:

sa taas nito ay 50 square meter kung pagbabasihan mo sa ibaba 55 square meter malaki rin sa baba kaya ang tawag dyaan ay centementer

I hope I can help you and give me a star even if I am only 5 or 4 stars and please put a heart for many

Answer:

0.00375 inches thick

Answer:

20

Step-by-step explanation:

It is mentioned that Jolyn made $340 in 17 hours last week. In order to evaluate this, you'll have to divide the money earned by the hours worked.

[tex]\frac{340}{17} =20[/tex]

Therefore, Jolyn makes $20 an hour as 20 x 17 = 340 which is correct,

Answer:

5.5

Step-by-step explanation:

Write an integer for deposit of $100:

-$100

Answer:

Two

Step-by-step explanation:

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

Answer:

4 2/4

Step-by-step explanation:

4 1/2 + 1/2 = 4 2/4

i just added em up

Answer:

Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.