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White raven [17]
3 years ago
10

How long will it take 5 machines to complete a task, given that it takes 10 days for 8 machines to complete the same task?

Mathematics
1 answer:
Tamiku [17]3 years ago
4 0

Answer:

Step-by-step explanation:

4 days

8/10 * 5 = 4

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Give that each figure shown below is a trapezoid. Find the missing values.
Lyrx [107]

Answer:

EF=22

C=70°

B=110°

Step-by-step explanation:

Trapezoids have to have a total of 360° and there are complementary angles.

6 0
3 years ago
2. The cost of a bicycle is * 2895. Find the cost of 1486 bicycles,
forsale [732]

Answer:

4,301,970

5,149,815

Step-by-step explanation:

The cost of a bicycle is 2895

Therefore the cost of 1486 bicycles is

= 2895×1486

= 4,301,970

A truck can carry 6785 kg of food

Therefore the amount in which 759 truckj can carry can be calculated as follows

= 6785×759

= 5,149,815

7 0
2 years ago
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Ede4ka [16]

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

6 0
3 years ago
Jarred wants to buy a go-cart for $1,200. His part-time job pays him $160 a week. He has already saved $400. Which inequality re
STatiana [176]

Answer:

He will need to work a minimum of 5 weeks

Step-by-step explanation:

1,200-400=800

800 divded by 160=5

4 0
2 years ago
Derive the equation of the parabola with the focus <br> is (-7,5) and the directrix of y=-11
Volgvan
So, notice, the focus point is at -7, 5, and the directrix is at y = -11.

keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.

with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.

since the parabola is opening upwards, "p" is positive 8.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=-7\\&#10;k=-3\\&#10;p=8&#10;\end{cases}\implies 4(8)[y-(-3)]=[x-(-7)]^2&#10;\\\\\\&#10;32(y+3)=(x+7)^2\implies y+3=\cfrac{1}{32}(x+7)^2&#10;\\\\\\&#10;y=\cfrac{1}{32}(x+7)^2-3

8 0
3 years ago
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