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3 years ago

Is x=-2 a solution of the equation 1-6x=7?

Mathematics

2 answers:

lukranit [14]3 years ago

7 0

No because if you multiply a positive times a negative you will just get a negative and 7 isn't an negative so no.

ivolga24 [154]3 years ago

5 0

In order to figure this out, you must solve the equation.

1-6x=7 (given)

-6x=6 (subtract 1 from both sides)

X=-1 (divide both sides by -6)

The answer is no.

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Surds see attached 20 points

Over [174]

Answer:

$5\sqrt{2} \\45$

Step-by-step explanation:

just multiply

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3 years ago

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The carefully measure out the ingredients to make their pies each pie they make has 5.33 cups of apples in the filling how many

Ivahew [28]

Answer: 31.98 cups

Step-by-step explanation:

if there's 5.33 cups in 1 pie

then there is x cups in 6 pies.

set up a proportion:

5.33 cups = 1 pie

x cups = 6 pies

<em>cross multiplication.</em>

31.98 = x

therefore there are 31.98 cups of apples in 6 pies.

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3 years ago

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Find the volume and surface area of the composite figure. Give your answer in terms of π.

irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

<u>Volume:</u>

For volume

r = 6 cm

h = 8 cm

$Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3$

<u>Surface Area:</u>

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

$l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2$

Hence the first option is correct ..

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3 years ago

Which of the following situations describes a function? Remember you are looking for an independent variable and a dependent var

BlackZzzverrR [31]

The situation that is a function is: C. The weight of a package and the cost of postage.

<h3>What is a Function?</h3>

A function can be described as a relation whereby there can only be one exact possible output value (dependent variable) for every input value (independent variable) in the relation. This means, no input value has two different output values. However, two different input values can have the same output value.

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For example, the cost of postage (output) is dependent on the weight of a package (input).

Therefore, the situation that is a function is: C. The weight of a package and the cost of postage.

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1 year ago

44.64 divided by 48

Alik [6]

Answer:

0.93

Step-by-step explanation:

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