What is this statement asking for?
assuming is square root of 55:
You can solve the square root and roound to the nearest number:
√55 = 7.41
Since the number after the decimal point is 4, the square root is closest to 7 than to 5.
You can also campare √55 with closest integers that are perfect square:
below 55, the closest perfect square is 49 = 7^2
above 55, the closest perfect square is 64 =8^2
55-49 = 6
64-55 = 10
Since 49 is closest to 55, it's square root is the nearest. (7)
Answer:
3x+19
Step-by-step explanation:
2x are like terms and 4 and 15 are like terms so you add them together
In order to solve this question we first have to break down the terms.
Sum = Adding
Times = Multiplying.
The question states "3 times the sum of a number n and 12 is 45". In written form, it would be the following:
3(12+n) = 45
To solve this you first divide both sides by three and you'd be left with the following:
(12+n) = 15.
Then subtract 12 from both sides. Leaving you with:
n = 3
1) Data:
Meal calories consumed
Breakfast 400 cal
Lunch 350 cal
Dinner x
------------------
Total 400 + 350 + x = 750 + x
2) Equation: <span>
She consumes 2/3 of her daily calories at dinner => (2/3)[750+x] = x
3) Analyze each statement:
</span><span>a) Lena
consumed 1500 cal at dinner.
Solve the equation to find if the statement is true:
</span>
<span><span>(2/3)[750+x] = x</span>
2(750+x) = 3x
1500 + 2x = 3x
1500 = 3x - 2x
x = 1500
Conclusión: TRUE stament.
b) Do you equation 2/3 (x+400+350)=x can be
used to model the situation.
That is the same equation that I found above.
Conclusion: TRUE statement
c) Lena consumed 500 cal at dinner.
She consumed (2/3) * 1500 = 500 cal
Conclusion: TRUE statement
d) Lena
consumed 1000 cal at dinner.
No, we calculated that she consumed 500 cal at dinner.
Conclusion: FALSE statement
e) The equation 2/3(x)=x(400+350) can be used
to model the situation.
No: (2/3) x = 500 and x(400+350) = 500*750 = 375,00, which are not equal.
Conclusion: FALSE statement.
f) The equation 2/3x(400+350)=x Can’t be used to
model the situation
No: in that equation the variable x cancels out because it appears a factor at both sides.
</span>Conclusion: TRUE statement
