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o-na [289]
3 years ago
13

The value for the area A of each figure is given. Write and solve a compound inequality for the value of x in each figure.

Mathematics
2 answers:
Katena32 [7]3 years ago
7 0

Length of Rectangle =x units

Breadth of Rectangle= 5 units

Area of Rectangle=Length × Breadth

            =5x square units

It is given that , Area lies between 25 and 35.

 ⇒25≤ 5x ≤ 35

Dividing , the whole Inequality by 5, we get

 ⇒ 5 ≤ x≤7

⇒Part B

Area of Right Triangle

       =\frac{1}{2}\times \text{Base} \times \text{Height}\\\\=\frac{1}{2}\times 3 \times x\\\\=\frac{3x}{2}\\\\\rightarrow 9\leq \frac{3x}{2}\leq 12\\\\ \text{Multiplying whole inequality by ,2}\\\\\rightarrow18\leq 3x \leq 24\\\\\text{Dividing whole inequality by ,3}\\\\\rightarrow 6\leq x \leq 8          

⇒6≤x≤8

zhuklara [117]3 years ago
4 0

25.\\A=5\cdot x=5x\\\\35\geq5x\geq25\ \ \ \ |:5\\\\7\geq x\geq5\\\\26.\\A=\dfrac{3\cdot x}{2}=\dfrac{3}{2}x\\\\9\leq\dfrac{3}{2}x\leq12\ \ \ |\cdot\dfrac{2}{3}\\\\3\cdot2\leq x\leq4\cdot2\\\\6\leq x\leq8

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Lsabel is making lemonade for a party with 12 guests.She wants to make equal serving that are least 2 cups each.She makes 7 quar
notsponge [240]

Answer: Yes, and she will have 4 cups leftover


Step-by-step explanation:

1 Quart = 4 cups

Convert the quarts: 7 * 4 = 28

Find the amount of cups needed in total: 12* 2 = 24

Subtract to see if possible: 28- 24 = 4

8 0
3 years ago
A cannon ball shoots out from a cannon that is 28 inches long at 2700 ft s. What is the
Reika [66]

Answer:

a = 1565217.39 ft / s ^ 2

t = 0.001725 seconds

Step-by-step explanation:

The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:

28 in * (1 ft / 12 in) = 2.33 ft

Now yes, we can continue, we have the following data:

vi = 0

vf = 2700 ft / s

the equations in this case are as follows:

vf = vi + a * t

vf = a * t

rearranging for a

a = vf / t (1)

now with the position equation we know that:

x = vi * t + (a * t ^ 2) / 2

x = (a * t ^ 2) / 2 (2)

now replacing (1) in (2), we are left with:

x = (vf / t) * (t ^ 2) / 2

knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.

2.33 = 2700 * t / 2

t = 2.33 * 2/2700 = 0.001725 seconds.

and now replace in (1)

a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2

3 0
3 years ago
Help me plz and explain your answer to me
Vlad1618 [11]

Answer:

4.171\times10^6

Step-by-step explanation:

Given:

First Number = 97

Second Number = 4.3\times10^4

We need to find the product of two numbers in Scientific notation.

Product of two numbers means we need to multiply two number.

Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.

Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as  a.

Number of decimal point moved needs to be counted. This number is b.

If decimal are moved  to the left b is positive.

If decimal are moved to the right b is negative.

If decimal are not moved b = 0.

scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."

Hence the product is;

97\times4.3\times 10^4 = 417.1 \times 10^4

Expressing in Scientific Notation form we get

4.171 \times 10^6

Hence the Answer is 4.171 \times 10^6.

3 0
3 years ago
Help pls 11 point Ayuda
aleksandrvk [35]
Well according to the slope intercept equation.

Y = mx +/- b

The slope is the value m
The y intercept is b

To graph the function, one sure way to do it is simply make a table of values picking any x values that fall within the graph space, and finding out the resulting y values and using the points to graph.

For instance for the first graph, if x = 0, y = 5, that is one possible point. Keep on choosing x values to graph.






5 0
3 years ago
Erin swims one half mile in one third hour. Write an equation for the distance y Erin can swim in x hours
cestrela7 [59]
3/2 x = y is the answer
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