Answer:
117 sweets
Step-by-step explanation:
Please see attached picture for full solution. (model method)
S, N and R represents the number of sweets Sarah, Natasha and Richard have respectively.
Alternatively,
Let the number of sweets Sarah have be 4x.
Number of sweets Natasha have= 2x
Number of sweets Richard have= 3x
<em>Sarah gets 13 more sweets than Richard</em>
4x= 3x +13
4x -3x= 13
x= 13
Total number of sweets
= 4x +2x +3x
= 9x <em>(</em><em>simplify</em><em>)</em>
= 9(13) <em>(</em><em>subst</em><em>.</em><em> </em><em>x</em><em>=</em><em>1</em><em>3</em><em>)</em>
= 117 sweets
Answer:
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
Solving, we get:
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
Linear Equation: 15m+10=w
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
m= number months written. In this case, it is 5 months.
w= number of pages written in 5 months
15(5)+10=w
75+10=w
85 pages written=w
Carla will have written 85 pages in 5 months.
Answer:
b = $375
Step-by-step explanation:
b = cost of the bench
t = cost of the table
t = b - 78
b + b - 78 = 672
2b = 750
b = $375
