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erma4kov [3.2K]
3 years ago
15

The height of a trapezoid is 8 in. And it's area is 96 squared inch. One base of the trapezoid is 6 inches longer than the other

base. What are the lengths of the bases? Explain how you found your answer.
Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

we name bases k , k+6. so

area: 96= (k + k+6).8/2

=> 2k+6= 24 => k=9

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An item costs S430 before tax, and the sales tax is $17.20.
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Answer:

Step-by-step explanation:

430

x4%

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$17.20+ $430= $447.20

5 0
3 years ago
A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach
Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\  \end{gathered}

Let's evaluate the value of k for each day.

Thus, on monday,

\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Tuesday:

\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Wednesday:

\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}

Thursday:

\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0
1 year ago
What is the range for y=x^2-7x-8 ?
gtnhenbr [62]

Answer:

[-20.25;+∞).

Step-by-step explanation:

1) according to the properties of the given parabola the minimum is:

x_0=-\frac{-7}{2}=3.5; \ y_0=-20.25;

2) y₀=-20.25 means, the value -20.25 is minimum of the range, the maximum →+∞;

3) finally, the range y≥-20.25.

7 0
1 year ago
Evaluate the expression if y=4.4 and z= 12<br> z2+ 8y
Evgen [1.6K]

Answer: <em>59.2</em>

Step-by-step explanation:

<em>Take your equation</em>

<em>z2+8y</em>

<em>Now plug in the values given</em>

<em>(12)2+8(4.4)</em>

<em>24+35.2</em>

<em>59.2</em>

5 0
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Express 3/5 as a percent
Mama L [17]

Answer: 60%

Step-by-step explanation:

3/5 times 20 = 60/100

8 0
3 years ago
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