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nasty-shy [4]
3 years ago
13

Which is the solution to the inequality 1/4+x<5/8

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0

Answer:

x<3/8

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Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x+1/4<5/8

Step 2: Subtract 1/4 from both sides.

x +  1/4 - 1/4 < 5/8 - 1/4

x<3/8

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Rufina [12.5K]

Answer:I think its the second one

Step-by-step explanation:

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2 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

In this question:

The profit is given by:

y = -9x^2 + 700x - 6005

Which is a quadratic function with a = -9, b = 700, c = -6005

The maximum profit happens at the x of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88

Widgets should be sold by $38.88 to maximize the profit.

7 0
2 years ago
What is the constant variation?
just olya [345]

Step-by-step explanation:

constant of variation is -3/4

3 0
2 years ago
James wants to compete in the international speed texting competition next year where participants compete on text speed and acc
makkiz [27]

1a 2.5 characters per second

1b 3 characters per second

1c 3.5 characters per second

1d s = 2 + 0.5m

2a 8 = 2 +0.5m

6=0.5 m

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2b the final speed James wants is 8 cps. sub that in for s. we want to know m. first, subtract 2 from both sides to get 6. then, divide by 0.5, which is 1/2 as a fraction. In order to divide a number by a fraction, you need to invert the fraction and switch operations from division to multiplication. It becomes 2/1 * 6 = 12.

3a 10 r +4 = 8

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3b. In this equation, r could be the increase in amount of characters that Lydia can type per second.

4. John buys a small tree that is 5 inches tall. Each month, this tree grows 8 inches. How long will it take for the tree to reach 37 inches in height?

If this helps, please consider giving me brainliest.  

3 0
2 years ago
The price of a house DECREASED from $82500 to $77500. Calculate the PERCENTAGE DECREASE
Igoryamba

Answer:

6.06%

Step-by-step explanation:

percentage \: decrease \\  \\  =  \frac{82500 - 77500}{82500}  \times 100 \\  \\  =  \frac{5000 \times 100}{82500}  \\  \\  =  \frac{500000}{82500}  \\  \\  = 6.06060606 \\  \\  = 6.06 \%

7 0
3 years ago
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