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satela [25.4K]
3 years ago
10

jane works 40 hours per week. due to illness , jane worked 3/5 of her scheduled hours. how many hours did jane work last week?​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
6 0

Answer:

24

Step-by-step explanation:

40/1 * 3/5 = 120/5

120/5 simplified = 24

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1)How many pinches of salt would be in 24 servings?
laila [671]

Answer:

1. 2 pinch of salt

2. 3/2 egg =1.5 eggs

3. 33g of flour=1/3 pinch of salt

33g of flour=1/3 tbsp of oil

33g of flour=1/3 egg

33g of flour=100ml of milk

4. 24 servings

5. 300g of flour

Step-by-step explanation:

12 servings

Plain flour=100g

Salt=a pinch

Oil= 1 tbsp

Egg=1

Milk=300 ml

1. Pinches of salt in 24 servings

24

12 servings=1 pinch of salt

24 servings=24/12*1 pinch of salt

=2*1 pinch of salt

=2 pinch of salt

2. Egg needed for 18 servings

12 servings=1 egg

18 servings=18/12 * 1 egg

=3/2* 1 egg

=3/2 egg

3. If there are 33 grams of flour,

The other ingredients will be

33g/100g=1/3

The other ingredients will be 1/3 of the original measurement

Salt=a pinch

33g of flour=1/3 pinch of salt

Oil= 1 tbsp

33g of flour=1/3 tbsp of oil

Egg=1

33g of flour=1/3 egg

Milk=300 ml

33g of flour=1/3 of 300ml

=1/3*300

=300/3

=100ml of milk

4. If two eggs were used, grams of flour needed is

1 egg =12 servings

2 eggs=2* 12 servings

=24 servings

5. Flour needed if 900ml milk is used

100g flour=300ml of milk

900ml of milk=300ml * 3

Therefore,

900ml of milk=100g of flour *3

900ml of milk=300g of flour

5 0
3 years ago
Two types of plastics are suitable for an electronics component manufacturer to use. The breaking strength of this plastic is im
UNO [17]

Answer:

a. We fail reject to the null hypothesis because zo = -5.84 < 1.65 = zα and P-value = 1 (approximately)

b. The confidence Interval for u1 - u2 is; 6.79 ≤ u1 - u2

c. The power of the test = 1 -

β = 0.998736

d. The sample size is adequate because the power of the test is approximately 1

Step-by-step explanation:

Given

Standard Deviations; σ1 = σ2 = 1.0 psi

Size: n1 = 10; n2 = 12

X = 162.5; Y = 155.0

Let X1, X2....Xn be a random sample from Population 1

Let Y1, Y2....Yn be a random sample from Population 2

We assume that both population are normal and the two are independent.

Therefore, the test statistic

Z = (X - Y - (u1 - u2))/√(σ1²/n1 + σ2²/n2)

See attachment for explanation

8 0
3 years ago
Inge and Oleg were helping their mom clear rocks from a pasture using a wheelbarrow. If each load of rocks they carried to the f
zzz [600]

Answer:

20 loads

Step-by-step explanation:

2000 divided by 100 is 20

5 0
3 years ago
Read 2 more answers
Write an equation of the line, in standard form, containing the points (−6, 19) and (−15, 28).
Rudiy27

The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

<em><u>Recall:</u></em>

  • Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.
  • The equation of a line in point-slope, y - y_1 = m(x - x_1), can be rewritten in the standard form.
  • Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Given: (−6, 19) and (−15, 28)

<em>Find the </em><em>slope </em><em>(m):</em>

<em />m = \frac{28 - 19}{-15 -(-6)} = \frac{9}{-9} = -1

Write the equation in point-slope form by substituting m = -1 and (x_1, y_1) = (-6, 19) into y - y_1 = m(x - x_1).

y - 19 = -1(x - (-6))\\\\y - 19 = -1(x + 6)

  • Rewrite in standard form

y - 19 = -1(x + 6)\\\\y - 19 = -x - 6\\\\y = -x - 6 + 19\\\\y = -x + 13\\\\\mathbf{x + y = 13}

Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Learn more about equation of a line in standard form on:

brainly.com/question/19169731

7 0
2 years ago
Differentiate x^2/4-x^3​
Ede4ka [16]

Answer:

  x^4 + 8x          

  -----------------

    (4-x^3)^2

Step-by-step explanation:

d /dx  (x^2/(4-x^3)​)

When we differentiate a fraction u/v

df/dx = u/v

         =  v du/dx-u dv/dx

           ---------------------------

                         v^2

we know u = x^2   so du/dx = 2x

               v = (4-x^3)  so dv/dx = -3x^2

d dx =   (4-x^3) (2x)- x^2 ( -3x^2)

           -------------------------------------

                   (4-x^3)^2

Combining terms

           (8x-2x^4) --3x^4

           -------------------------------------

                   (4-x^3)^2

           8x-2x^4 +3x^4

           -------------------------------------

                   (4-x^3)^2

             x^4 + 8x          

           -------------------------------------

                   (4-x^3)^2

8 0
3 years ago
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