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mestny [16]
3 years ago
12

Place parentheses in these expressions 12×2+2^3;value:120

Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer:

12x(2x2^3)=120

Step-by-step explanation:

12x2+2^3=120

(12x2)+2^3=32

12x(2+2^3)=?

12x(2+8)=?

12x10=120

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Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
Read 2 more answers
A rectangular prism has a length of 734 inches, a width of 312 inches, and a height of 6 inches. Mario has a storage container f
fredd [130]

Answer: 27.6\ in.^3

Step-by-step explanation:

Given

Length of Prism is l= 7.34\ in.

The width of Prism is w=3.12\ in.

The height of Prism is h=6\ in.

The volume of a The height rectangular prism is given as

V=l\times w\times h

Substituting values we get

\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3

Volume of storage V_s=165\ in.^3

The difference in volume is

\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3

8 0
3 years ago
A wildlife preservation group records the number of squirrels in a city park. The first count recorded is 30 squirrels. A second
ipn [44]

Answer:

A F(x)=30x

Step-by-step explanation:

just plug number in to the equations to see which one matches

5 0
3 years ago
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42 square feet to square inches
dolphi86 [110]

Answer:

6048 square inches

Step-by-step explanation:

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3 years ago
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2/3x+4=2x true or false
aleksley [76]

Answer: False !!!

do the math

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