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lawyer [7]
3 years ago
14

The sum of 4 consecutive integers is (-28).

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

Step-by-step explanation:

Let the lowest integer be x, then:

x + x + 1 + x + 2 + x + 3 = -28.

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Lillianne made 6 out of every 10 baskets she attempted during basketball practice. If she attempted to make 25 baskets, how many
patriot [66]

Answer:

15.

Step-by-step explanation:

(6/ 10) * 25

= 0.6 * 25

= 15.

3 0
3 years ago
Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)
slamgirl [31]
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>

Step 2: Substitute:<span> 
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.

Add [2] and [3]:<span> 
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span> 
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>

</span>
</span>
3 0
3 years ago
Read 2 more answers
Me. Watson is making 34.6 fluid once's of red paint and 18.6 fluid ounces of yellow paint to make orange paint. How many 3.5- fl
forsale [732]

Answer: She can fill about 15 3.5- fluid once jars.

Step-by-step explanation:

Given:

Quantity of red paint = 34.6 fluid ounces

Quantity of yellow paint = 18.6 fluid ounces

Total quantity of orange color = (Quantity of red paint )+(Quantity of yellow paint )

= (34.6+18.6) fluid ounces

= 53.2 fluid ounces

Number of 3.5- fluid ounce jars she can fill = (Total quantity of orange color) ÷ 3.5

= 53.2÷3.5 = 15 (approx)

Hence, She can fill about 15 3.5- fluid once jars.

7 0
3 years ago
write the equation of the line parallell to the given line passing through the given point in slope intercept form y=-4x-2 (0, -
Finger [1]

Step-by-step explanation:

slope: -4

y + 1 = -4(x - 0)

y + 1 = -4x + 0

y = -4x - 1

4 0
3 years ago
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product
saveliy_v [14]

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

subject to constraints(board and wicker)

The constraints are

  board

7A+5B+4C=3000

 wicker

4A+5B+3C=1400

A>0, B>0, C>0

5 0
3 years ago
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