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3 years ago

How do you express 4 feet 9 inches into height in feet only using a mixed number?

Mathematics

1 answer:

spin [16.1K]3 years ago

5 0

4 9/12 feet or 4 3/4 feet

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The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.

sammy [17]

$\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\$
$\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4$
$Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5$

5 0

3 years ago

Sara's mother has bought 90 lollipops and 105 pencils for goody bags for Sara's birthday. What is the largest number of goody ba

crimeas [40]

Answer:

Step-by-step explanation:

<h2>you need to find the lcf(least common factor) of the two numbers which is 15</h2>

5 0

3 years ago

WILL GIVE BRAINLY,5 STARS,AND THANK<br><br> 320/40 = 32 tens / 4 tens

victus00 [196]

Answer:

320/4=8 8 tens /4 tens =2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Lesson Posttest

stepladder [879]

Answer:

Step-by-step explanation:

Probability = number of fruit type/total number of fruit. Total number of fruit = 5 + 9 + 5 = 19.

The probability of drawing an apple is P(apple) = number of apples/total number of fruit = 5/19.

The probability of drawing a peach is P(peach) = number of peaches/total number of fruit = 9/19

The probability of drawing an apple is P(orange) = number of oranges/total number of fruit = 5/19

The probability of drawing either an apple, peach or orange at the first draw of fruit from the bag is

P(apple or peach or orange) = P(apple) + P(peach) + P(orange)

= 5/19 + 9/19 + 5/19

= (5 + 9 + 5)/19

= 19/19

= 1

3 0

4 years ago

Use the distrubutive property to simply 2(-5-7j)

prisoha [69]

<u>Answer:</u>

2(-5 - 7j) = -10 - 14j

<u>Step-by-step explanation:</u>

Using the distributive property means that we have to multiply both -5 and -7j by 2:

2(-5 - 7j)

⇒ 2 × -5 + 2 × -7j

⇒ -10 - 14j

8 0

2 years ago