All categories

2 years ago

MATH- Complete QUESTIONS BELOW

Mathematics

1 answer:

OLga [1]2 years ago

3 0

Answer:

6 5/8 pounds

Step-by-step explanation:

I just added the 4 1/2 and the 2 1/8

1/2 is 4/8

You might be interested in

Which best describes the transformation that occurs from

Law Incorporation [45]

Answer:

right 2 , up 3.

Step-by-step explanation:

The -2 moves 2 to the right and the + 3 means 3 up.

6 0

3 years ago

I need help in khan academy ASAP!!

Anika [276]

The answer for the question is y = 3x + 5

3 0

3 years ago

Log(x-2)+log2=2logy<br>log(x-3y+3)=0

In-s [12.5K]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right$

$===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}$

$\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac$

$y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D$

$\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D$

4 0

3 years ago

it cost $45 to produce 2 calculators and $143 to produce 4 and $869 to produce 10 how much does it cost to produce 7 calculators

erica [24]

Answer:

210.50

Step-by-step explanation:

45/ 2 = 22.5

4 = 143

2= 45

+ 1 = 22.5

in total = 210.50

4 0

3 years ago

Calculate the length of the circumference of a circle with diameter of 10.4

Kitty [74]

To work out the Circumference of a circle, we must o the calculation
πd
π x d
If we fill in the information we know
π x 10.4
3.14 x 10.4 (to 2 d.p.)
↓
32.656 (units)

7 0

3 years ago

Read 2 more answers