Answer:
D
Step-by-step explanation:
In the original expression = 37.4 - 54.9 = -17.5
So, we have to solve all the equations but 1 of them has to equal to -17.5
A) -54.9 + (-37.4) = -92.3
Remove parentheses
= -54.9 - 37.4
Subtract the numbers
-92.3
B) 54.9 - 37.4 = 17.5
Since 54.9 is greater than 37.4 just subtract normally
4 14
5 4. 9 < ------- Line up the decimal points like this
- 3 7. 4 <--------- Subtract the decimals
-----------------
1 7 . 5 <---------- This is the final answer to B.
C) 37.4 - (- 54.9) = 92.3
Change the sign to addition
=37.4 + 54.9
Add the numbers normally
54.9
+ 37. 4
--------------
92.3
D) 37.4 + (-54.9) = -17.5
Change the sign to subtraction
= 37.4 - 54.9
Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)
54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed 37.4 - 54.9 so in this case your answer should be
- 17.5)
37.4 - 54.9 = -17.5
Your final answer is D because it matches 37.4 - 54.9.
Hope this helps!
answer:
a = 15
b = 84
c = 81
steps
a+b+c=180
b=3a+39
c=a+66
a+3a+39+a+66=180
5a + 105 = 180
5a = 75
a = 15
b=3a+39
b=3(15)+39
b=45+39
b=84
c=15+66
c=81
https://www.wyzant.com/resources/answers/292883/i_don_39_t_get_how_to_put_it_into_a_formula
Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.
Let the number of toys Oleg has = x
Let the number of toys Sasha has = y
Let the number of toys Dima has = z
Sasha had twice as many toys as Oleg
So y = 2*x= 2x
Dima had 40 more toys than Oleg.
z = x + 40
Oleg, Sasha, and Dima shared 600 toys
x + y + z= 600
We know y=2x and z=x+40
Replace it for y and z
Subtract 40 on both sides
Divide by 4 on both sides
Oleg had 140 toys
Answer:
The roots are -2 and -3
Step-by-step explanation:
For a quadratic equation given as x² + bx + c, for roots x and y, the sum of roots is equal to the negation of the coefficient of the second term (i.e x + y = - b) while the products of the roots is equal to the coefficient of the second term (i.e x × y = c).
Since for the roots 1 and 6, only the value of c was correct, to get c we use the product of roots. Therefore, c = 1 × 6 = 6
Since for the roots -1 and -6, only the value of b was correct, to get b we use the sum of roots. Therefore:
-b = - 1 + -4 = -5
b = 5
Since the quadratic equation is x² + bx + c, substituting value of b and c and solving:
x² + 5x + 6 = 0
x² + 2x + 3x + 6 = 0
x(x + 2) + 3(x + 2) = 0
(x + 2)(x + 3) = 0
x = -2 or x = -3
The roots are -2 and -3