All categories

3 years ago

20 + 10 = ___ x (4 + 2). What is the missing value in the equation?

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

11 is the missing value and x=2. 20+10=11x(4+2)

Hoped I helped!

You might be interested in

Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

3 years ago

Determine 3rd term in the geometric sequence whose first term is -8 and whose common ratio is 6

Brrunno [24]

-8, -48, -288
or
-8, -4/3, -2/9

3 0

3 years ago

Read 2 more answers

Hi can some one please help me !:)

vichka [17]

Answer: 2 one

Step-by-step explanation:

7 0

3 years ago

The third term of an arithmetic sequence is 14 and the 9th term is -1. Find the first four terms of the sequence.

Liula [17]

Answer:

The first four terms of the sequence are : 19, 16.5 , 14 , 11.5

Step-by-step explanation:

In the given sequence:

a(3) = 14, a(9) = -1

The general term of a sequence in Arithmetic Progression is:

a(n) = a + (n-1)d

a(3) = a + (3 -1) d = a + 2 d

and a(9) = a + (9- 1 ) d = a + 8 d

⇒ a + 2 d = 14 ......... (1)

and a + 8 d = -1 ........... (2)

Now, solving the given system of equation, we get:

From (1), a = 14 - 2 d

Put in (2), we get:

a + 8 d = -1 ⇒ 14 - 2 d + 8d = -1

⇒ 14 + 6d = -1

or, 6d = -1 -14 = -15

⇒ d = -15/6 = -2.5

or, d = -2.5

Then a = 14 - 2 d = 14 - 2(-2.5) =14 + 5 = 19, or a = 19

Now, first four terms of the sequence is:

a = 19

a(2) = a + 4 = 19 - 2.5 = 16.5

a(3) = a + 2d = 19 + 2(-2.5) = 19 - 5 = 14

a(4) = a + 3d = 19 + 3(-2.5) = 19 - 7.5 = 11.5

Hence, the first four terms of the sequence are : 19, 16.5 , 14 , 11.5

4 0

3 years ago

An employee currently makes $10 per hour and will be given yearly raises if performance evaluations are satisfactory. Assuming a

OleMash [197]

Answer:

C) If the yearly raise is $3 per hour then the relationship is linear and the hourly rate "n" years from now will be h0 = 10 and hn = (hn − 1)(3) for n = {1,2,3, ...}.

Step-by-step explanation:

j put c

6 0

3 years ago

Read 2 more answers