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Art [367]
2 years ago
7

Simplify 4 1/2 x 2 3/5 8 3/7 117/7 8 3/10 11 7/10

Mathematics
1 answer:
Lynna [10]2 years ago
8 0

Answer:

\frac{27}{5}  = 5 \frac{2}{5}

Step-by-step explanation:

4 1/2 × 2 3/5

9/2 × 2 × 3/5

9 × 3/5

<u>=</u><u> </u><u>2</u><u>7</u><u>/</u><u>5</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>2</u><u>/</u><u>5</u>

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hey can someone please help me i don’t understand this? the question says “find the surface area of the rectangular prism.”
ASHA 777 [7]

Answer:

170 in^2

Step-by-step explanation:

you have to find the area of each surface of the square

1) the square on the right side:

5x5=25 in^2

there are 2 of these on opposite sides

2)the of the rectangle facing us;

6x5=30in^2  (5 because 5 is the height)

there are 4 of these

3)add up all the areas

25+25+30+30+30+30=170in^2

6 0
2 years ago
Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5
Georgia [21]

\bf \begin{array}{rrlll} term&\stackrel{f(n+1)=-0.5f(n)}{~\hfill value~ }\\ \cline{1-2} f(1)&120\\ f(2)&-0.5(120)\\ &-60\\ f(3)&-0.5(-60)\\ &30\\ f(4)&-0.5(30)\\ &-15\\ f(5)&-0.5(-15)\\ &7.5 \end{array}

4 0
3 years ago
Read 2 more answers
A salesman earns a Commission of $630 for selling $3050 in merchandise
agasfer [191]

Answer:

ok so lets find what percentage 630 is of 3050

630/3050=0.20655737704

so about 20.7%

Hope This Helps!!!

7 0
2 years ago
A circle's radius is 14 centimeters.
spayn [35]

Answer:

Circumference of circle = 87.92 centimeter

Step-by-step explanation:

In the given question;

Radius of circle = 14 centimeters

Value of π = 3.14

Find:

Circumference of circle

Computation:

⇒ Circumference of circle = 2πr

where r = Radius of circle

⇒ Circumference of circle = 2(3.14)(14)

⇒ Circumference of circle = (6.28)(14)

Circumference of circle = 87.92 centimeter

4 0
3 years ago
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