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Natasha_Volkova [10]
3 years ago
12

You saved $300 to spend over the summer. You decide to budget $50 to spend

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

-$50/week

Step-by-step explanation:

Since you're spending money, the rate of change of the amount you have on hand is negative.  

Thus, the rate of change of your cash-on-hand is -$50/week.

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Find three consecutive odd numbers the product of which is 148 more than the cube of their middle number.
Anna11 [10]

Answer:

   The numbers are -39,-37,-35

Step-by-step explanation:

Let

x-----> the first odd number

x+2----> the middle odd number

x+4---> the third odd number

x(x+2)(x+4)=(x+2)^{3} +148

(x^{2}+2x)(x+4)=(x^{2}+4x+4)(x+2)+148\\x^{3}+4x^{2}+2x^{2}+8x=x^{3}+2x^{2}+4x^{2}+8x+4x+8+148\\x^{3}+6x^{2}+8x=x^{3}+6x^{2}+12x+156\\8x=12x+156\\4x=-156\\x=-39

The numbers are

x=-39

x+2=-39+2=-37

x+4=-39+4=-35

3 0
3 years ago
Which triangles are congruent by ASA?
solniwko [45]

Answer:

Triangles congruent by ASA have two pairs of congruent sides and an included congruent angle. The graph indicates that sides TV, HG, and AB are congruent, and that sides TU, FG, and BC are congruent. It also indicates that angles U, F, and C are congruent, and that angles G and B are congruent.

8 0
3 years ago
How many gallons will be in the hot tub after 8 minutes
tankabanditka [31]
It depends on how fast the water is floating into it.
4 0
3 years ago
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25 is on sale for 30% off. What is the sale price
Svet_ta [14]
The sale price is going to be 17.5
7 0
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The diagram shows the cross-section of a wall of a cinema.
Anna71 [15]

Answer:

  • 280 m²
  • £133

Step-by-step explanation:

The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.

__

Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...

<u>Left Trapezoid</u>

  A = 1/2(b1 +b2)h

  A = 1/2(10 m +11 m)(4 m) = 42 m²

<u>Middle Rectangle</u>

  A = LW

  A = (13 m)(11 m) = 143 m²

<u>Right Trapezoid</u>

  A = 1/2(b1 +b2)h

  A = 1/2(11 m +8 m)(10 m) = 95 m²

<u>Wall Area</u>

The total area to be painted is the sum of the above areas:

  total area = 42 m² +143 m² +95 m² = 280 m²

The area that needs to be painted is 280 m².

__

A tin of paint covers 15 m², so the number of tins needed is ...

  (15 m²)t = 280 m²

  t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t

We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...

  (£7 /tin)(19 tins) = £133

It will cost £133 to paint the wall.

7 0
2 years ago
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