For this case we must represent the following expression algebraically:
"eight more than the product of a number and two"
Let "x" be the variable that represents the unknown number
We have to:
the product of a number and two is represented as: 
Then, the full expression will be:
Thus, we use multiplication and addition.
ANswer:
Option C
Answer:
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Step-by-step explanation:
Answer:
If 550 toys are made in a day, and 6% of them are defective, about 33 of them will be defective.
Step-by-step explanation:
To calculate the number of toys that will be defective, move the decimal of the percentage 2 place to the left. So the 6% will turn into 0.06, then you would multiply 550 by 0.06. Resulting in about 33 toys being defective.
6% = 0.06
-
550 x 0.06 = 33
Answer:
AB = 33.78228208
BD = 42.3
AT= 20.33068487
Area= 859.9879701
Step-by-step explanation:
Using the sin rule:
<u>sinA </u> = <u>sinB</u>
a b
If I use A = 90, a= 42.3
B = 53, b= AB
I get AB = 33.78228208 units
Then the diagonal is already 42.3 cm so I think. BD should be 42.3 cm too.
I used the sin rule again for ABD to find AD but by using B as 37° and b as AD.
I get AD = 25.45677548
For ADT,
AD is the hypotenuse.
Now I get from the same sin rule,
A= 90°. a= 25.45677548
B= 53°. b = AT
AT= 20.33068487 units.
Area of rectangle = l×b
= AB × AD
so that gives me 859.9879701 square units
Answer: 19/12 pounds or 1.583 pounds
Step-by-step explanation:
Let a pound be represented by x. So x = 1 pound.
5/6 of a pound is the same as multiplying 5/6 × x. It becomes 5/6 × x = 5x/6
3/4 of a pound is the same as multiplying 3/4 × x. It becomes 3/4 × x = 3x/4
We want to look for 5/6 of a pound + 3/4 of a pound.
It becomes
5x/6 + 3x/4
Taking lowest common multiple(LCM) of 12, it becomes
= (2×5x + 3×3x) / 12
= (10x +9x)/12
= 19x /12
Substituting x = 1 pound,
It becomes 19/12 pounds
Expressing in decimal, 19/12 = 15.83
We can also solve from the beginning in terms of decimals
5/6 pounds = 0.833 pounds
3/4pounds = 0.75 pounds
5/6 pounds + 3/4 pounds = 0.833 + 0.75 = 1.583 pounds
