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3 years ago

Which lengh can be rounded up to the nearest tenth of an inch a. 66.61 b. 5.055 c.4.91 or d. 6.5

1 answer:

8 0

<span>In the given choices, everything can be rounded into nearest tenths.
a. 66.61 – It can be rounded into 66.6
b. 5.055 – it can be rounded into 5.1
c. 4.91 – it can be rounded into 4.9
d. 6.5 – it stays as is.
So everything can be rounded into nearest tenths, however, Letter b. 5.055 is the only one who were rounded up because the number next to tenths value is 5, so the rules of rounding must be followed

</span>

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On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9 k

nadya68 [22]

Answer:

6 kg

Step-by-step explanation:

Given is weight of an object directly varies with the mass of the object .

Let the constant of proportionality be k

So,

Weight = K×(mass of the object)

For an object , weight = 45 N

mass = 9 kg

So , 45 = K×9

K = 5.

Now, for the other object ,

Weight = 30 N. K = 5 (as obtained above)

So, 30 = 5×(mass of the object)

mass of the object = 6 kg.

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3 years ago

What linear function represents the line given by the point slope equation y + 1 = -3(x - 5)<br>

Elena L [17]

Answer:

y=-3x+14

Step-by-step explanation:

y+1=-3(x-5)

y=-3x+15-1

y=-3x+14

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3 years ago

Help with Algebra 2: 1. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

1. Given the expression

$\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }$

Note that

$\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}$

When dividing $\sqrt[7]{x^5}$ by $\sqrt[4]{x^2},$ we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

$\dfrac{5}{7}-\dfrac{2}{4}=\dfrac{5}{7}-\dfrac{1}{2}=\dfrac{5\cdot 2-1\cdot 7}{14}=\dfrac{3}{14}$

and the result is $x^{\frac{3}{14}}=\sqrt[14]{x^3}$

2. Given equation $3\sqrt[4]{(x-2)^3} -4=20$

Add 4:

$3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24$

Divide by 3:

$\sqrt[4]{(x-2)^3} =8$

Rewrite the equation as:

$(x-2)^{\frac{3}{4}}=8\\ \\(x-2)^{\frac{3}{4}}=2^3$

Hence,

$\left((x-2)^{\frac{3}{4}}\right)^{\frac{4}{3}}=(2^3)^{\frac{4}{3}}\\ \\x-2=2^{3\cdot \frac{4}{3}}\\ \\x-2=2^4\\ \\x-2=16\\ \\x-2+2=16+2\\ \\x=18$

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3 years ago

Two numbers are in ratio s:t .if the first is a,find the second

Whitepunk [10]

Answer:

The second number is a*t/s

Step-by-step explanation:

s/t = a / x Let x be the second number.

sx = at divide by s

x = at/s

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2 years ago

Can anyone help me with this?

Rus_ich [418]

15)
20/8 = x / 6
x = 20 * 6 / 8
x = 15

16)
18/54 = (x+4)/75
1/3 = (x+4) / 75
3(x+4) = 75
3x + 12 = 75
3x = 63
x = 21

SF = 54/18
SF = 3

17)
complement angles sum = 90
90 /18 = 5
so
5 x 11 = 55
5 x 7 = 35

smaller angle = 35 degrees

18)
ratio 4:5:9
4+5+9 = 18
sum of interior angles of a triangle = 180
180 / 18 = 10

largest angle = 10 x 9 = 90

answer
largest angle = 90 degrees

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3 years ago