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3 years ago

I need help! Math question

Mathematics

1 answer:

iren2701 [21]3 years ago

8 0

Again, a spreadsheet or suitable calculator makes this short work.

The sum is 184.

_____
The terms being summed are ...
2·3² +3 = 2·9 +3 = 18 +3 = 21
2·4² +3 = 35
2·5² +3 = 53
2·6² +3 = 75
Their total is
21 +35 +53 +75 = 184

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If h and j are positive, (h+j)2 = 73 and h2 +j2 = 51, what is hj?

kkurt [141]

Answer:

$hj = 11$

Step-by-step explanation:

$(h+j)^2=73,\:\: and\:\: h^2+j^2 =51$ (Given)

$(h+j)^2 = h^2+j^2 +2hj$

$\implies 73= 51 +2hj$

$\implies 73- 51 =2hj$

$\implies 22 =2hj$

$\implies hj = \frac{22}{2}$

$\implies hj = 11$

3 0

2 years ago

In right △ABC with right angle B, m∠A=(3x−8)° and m∠C=(x−2)°.

julsineya [31]

Answer:

<A = 67

Step-by-step explanation:

The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.

<A + <B + <C = 180

3x-8 + 90 + x-2 =180

Combine like terms

4x-10+90 = 180

4x+80 =180

Subtract 80 from each side

4x+80-80=180-80

4x=100

Divide each side by 4

4x/4 = 100/4

x=25

But we want to know <A

<A = 3x-8

Substitute x=25

=3(25) -8

=75-8

= 67

6 0

3 years ago

Read 2 more answers

If 15% of an item is $18.00 what was the original price?

larisa [96]

<span>from the whole price,
15% of this price is equal to $18.00.
therefore if 15 % equals $18.00

then 100% is the original price therefore 100 % = 18.00 / 15 % x 100% = $120 therefore original price = $120</span>

5 0

3 years ago

Read 2 more answers

I need help with this question!!

Mashcka [7]

Answer:

QR = 5.

Step-by-step explanation:

Because the parallelograms are similar then the corresponding sides are in the same ratio.

So AB / PQ = BC / QR

9/3 = 15 / QR

15 / QR = 3

QR = 15/3

= 5. (answer)

7 0

3 years ago

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

Tema [17]

Answer:

2 $\frac{1}{16}$

Step-by-step explanation:

The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is 1/6 of n = 1/6 × n = $\frac{n}{6}$

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n = $\frac{5n}{2}$

So the question says that, when we add; $\frac{n}{6}$ , $\frac{5n}{2}$ and 7 all together, the value is 12 1/2

That is;

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = 12 1/2

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$ ( changing 12 1/2 to improper fraction will give $\frac{25}{2}$ )

So we can now go ahead and solve for n

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$

subtract 7 from both-side of the equation

$\frac{n}{6}$ + $\frac{5n}{2}$ = $\frac{25}{2}$ - 7

$\frac{n + 15n}{6}$ = $\frac{25 -14}{2}$

$\frac{16n}{6}$ = $\frac{11}{2}$

$\frac{16n}{6}$ can be reduced to give us $\frac{8n}{3}$

$\frac{8n}{3}$ = $\frac{11}{2}$

Cross multiply

8n × 2 = 11× 3

16n = 33

Divide both-side of the equation by 16

$\frac{16n}{16}$ = $\frac{33}{16}$

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)

n = $\frac{33}{16}$ = $2\frac{1}{16}$

Therefore the number is $2\frac{1}{16}$

5 0

3 years ago