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sveta [45]
3 years ago
14

Janice's mother gave her ten-dollar bill to buy five pounds each bananas and apples at the grocery store. When she got there she

found out that bananas were 80 cents per pound and apples were $1.40 per pound. Did Janice's mother give her enough money? If so, should she receive any change?
Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Buying apples and bananas with $10


5 pounds of bananas so

5 x .80 = $4

5 pounds of apples so

5 x 1.40 = $7


$7 + $4 = $11

she only has $10

$11 - $10 =  - 1,00


so no. she will not recieve any change because she doesnt havew enough money

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Find LCM of:<br><br>x2 - 9, 3x3 + 81​
VikaD [51]

Answer:

\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}

Step-by-step explanation:

Given two expressions ,

\qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81

And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .

<u>Factorising</u><u> </u><u>x²</u><u> </u><u>-</u><u> </u><u>9</u><u> </u><u>:</u><u>-</u><u> </u>

= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ]

<u>Factorising</u><u> </u><u>3x</u><u>³</u><u> </u><u>+</u><u> </u><u>8</u><u>1</u><u> </u>

= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] }

Hence we can see that (x+3) is common factor in both expressions.

<u>Hence</u><u> </u><u>the</u><u> </u><u>LCM</u><u> </u><u>is</u><u> </u><u>(</u><u> </u><u>x</u><u>+</u><u>3</u><u> </u><u>)</u><u> </u><u>.</u>

8 0
3 years ago
Item 5 A spotlight on the ground shines a beam of light to the top of a tree that is 12 m tall. The beam of light makes an angle
Troyanec [42]

Answer:

14 m

Step-by-step explanation:

We are given that

Height of tree=AB=12 m

\theta=40^{\circ}

We have to find the distance from the spotlight to the base of the tree.

We know that

tan\theta=\frac{perpendicular\;side}{base}

\frac{AB}{BC}=tan40

\frac{12}{BC}=tan40

BC=\frac{12}{tan40}=14.3\approx 14

Hence, the distance from the spotlight to the base of the tree=14 m

3 0
3 years ago
what is the full number of 2 to the 67 th power? I need the answer with out the e+17 or whatever it is.
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In middle school you need this?  Kinda weird but I would suggest using wolfram in the future.  Here is the answer in scientific notation

1.47573952589676412928 × 10^20
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3 years ago
Read 2 more answers
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