Ok, first set this up as an equation with your given variables. You know that Sylvie bought 1 container of cream cheese, which is $2.95, and you know that Sylvie spent $7.50
<u>(my best assumption is this is the subtotal)</u><u /> on the cream cheese and 13 bagels. As an equation, it would come out as:
To start solving the algebraic equation, wou can subtract 2.95 on both sides, resulting as
Now, to get "b" by itself, you must divide
13 on both sides, resulting as
This will answer your question as the cost of 1 bagel would be
$0.35 per bagel.
Answer:
Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line PU at point R, line ST. intersects line PU at point S, the measure of angle PRQ is 135 degrees, and the measure of angle UST is 15 ( x plus 2 ) degrees. X = −1 x = 7 x = 9 x = 13
Step-by-step explanation:
Answer:
The explicit formula
The recursive formula
for 
if 
Step-by-step explanation:
If a sequence is arithmetical then the difference between any of its consecutive terms will be constant
3, 3.25, 3.5, 3.75,
The difference between the consecutive terms remains constant so the sequence is arithmetic.
The explicit formula for an arithmetic sequence is:
Where d is the constant difference between the terms.
is the first term of the sequence.
So
Finally, the recursive formula is:
Answer:
b=8.5cm
Step-by-step explanation:
tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6
To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.
0.6=5.1/adj
to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)
so then you have
adj=5.1/0.6
adj=8.5cm
(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!
Answer :
98°
Step by step explanation :
As we can see in figure,
∠F = 53°
∠H = 45°
So,
[Angle sum property, which states that the sum of all the angles of a triangle is 180°]
=> ∠FGH + 45° + 53° = 180°
=> ∠FGH = 180° - 98°
=> 
Now,
∠x + ∠FGH = 180°
[linear pair]
=> ∠x = 180° - 82°
=> 
<h2><u>Alternative Method :</u></h2>
We know that sum of two opposite interior angles is equal to the exterior angle.
So
∠x = ∠GHF + ∠HFG.
=> ∠x = 45 ° + 53°
=>
Hope this helps!
