Answer:
The family bought 8 hot dogs and 5 hamburguers.
Step-by-step explanation:
We'll call the amount of hamburguers as 'x' and the amount of hot dogs as 'y'. Since the family bought 13 hot dogs and hamburguers we have:
x + y = 13
The family spent a total of 22.5, if each hot dog costs 1.25 and each hamburguer costs 2.5, we have:
2.5*x + 1.25*y = 22.5
We now have two equations and two variables so we can build a system as state bellow:
x + y = 13
2.5*x + 1.25*y = 22.5
From the first equation we have x = 13 - y. We can use this value on the second equation to solve for y:
2.5*(13 - y) + 1.25*y = 22.5
32.5 - 2.5*y + 1.25*y = 22.5
-2.5*y + 1.25*y = 22.5 - 32.5
-1.25*y = -10
y = 10/1.25 = 8
So x = 13 - y = 13 - 8 = 5.
The family bought 8 hot dogs and 5 hamburguers.
Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
Answer:
Bad
Step-by-step explanation:
Thanks
Answer:
nuts
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
m∠1 = 65°
Since. ∠1 and ∠2 are the angles of linear pair,
m∠1 + m∠2 = 180°
65° + m∠2 = 180°
m∠2 = 115°
m∠1 = m∠3 [Vertical angles]
m∠3 = 115°
Since, ∠1 and ∠4 is the linear pair of angles,
m∠1 + m∠4 = 180°
65° + m∠4 = 180°
m∠4 = 180 - 65 = 115°
m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]
115° + m∠5 = 180°
m∠5 = 180° - 115° = 65°
m∠5 + m∠6 = 180° [Linear pair of angles]
65° + m∠6 = 180°
m∠6 = 115°
m∠5 = m∠7 [Vertical angles]
m∠5 = m∠7 = 65°
m∠6 = m∠8 [Vertical angles]
m∠6 = m∠8 = 115°