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Ivanshal [37]
3 years ago
15

String A is 35 centimeters

Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer:

35.7 meters.

Step-by-step explanation:

Here is the complete question: String A is 35 centimeters long. String B is 5 times as long as string A. Both are necessay to create a decorative bottle. Find the total length of string needed for 17 identitcal decorative bottle. Express your answer in meters.

Given: String A length is 35 cm.

          String B is 5 times as long as string A.

          Total length needed for 17 identitcal decorative bottles.

First, lets find out the length of strings to make one decorative bottle.

Total length = Length of String A+ Length of string B

Length of string A is 35 cm

Length of string B= 5 times as long as string A

⇒ Length of string B= 5\times 35\ cm= 175 cm

∴ Length of string B= 175 cm.

Total length = 35\ cm+ 175\ cm= 210\ cm

∴ Length of strings required to make one decorative bottle is 210 cm.

Now finding the length of strings required to make 17 decorative bottle.

Length of strings to make 17 bottle= 17\times 210\ cm= 3570 \ cm

As required length of string is in meters. Therefore, converting centimeter to meter by dividing value by 100.

Next, converting the unit of lenght of strings, \frac{3570\ cm}{100} = 35.7\ m

Hence, 35.7 meter of strings is required to make 17 decorative bottles.

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sattari [20]

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

<h3>Greatest common factor</h3>

Given the following expression

32ab - 8

Find the factors of each terms

32ab = 8 * 4. * a * b

8 = 8 * 1

Since 8 is common to both factors, hence

32ab - 8 = 8(4ab -1)

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

Learn more on GCF here; brainly.com/question/219464

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2 years ago
There is a bag with only red marbles and blue marbles.
mote1985 [20]

Answer:

red marbles

Step-by-step explanation:

Since the formula is;

Probability = number of required outcome

_______________________

number of possible outcome

3/8. = x/56

8x. = 168

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Therefore if the total marbles = 56 and 21 of the marbles are blue then to get the red marbles

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4 years ago
What is the result of substituting for y in the bottom equation<br> y=x+3<br> y=x^2+2x-4
8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

<em><u>Solution:</u></em>

Given that,

y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4  ----- eqn 2

<em><u>We have to substitute eqn 1 in eqn 2</u></em>

x + 3 = x^2 + 2x - 4

\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0

\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}

x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}

x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925

Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

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Convert 3 18/25 to a decimal using long division.
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