To solve this problem, we can set up proportion, which is two equivalent ratios. In this case, we are using the ratio of A to B to figure out the amount that B pays using our value for A. We are allowing x to represent the unknown value for the B payment. This is modeled below:
3/2 = £125/x
To simplify, we can perform cross-multiplication. This means multiplying the numerator of one fraction by the denominator of the other and setting it equal to the product of the other numerator and denominator. This is modeled below:
(125)(2) = (3)(x)
Next, we can simplify the equation by performing the multiplication on both sides of the equation.
250 = 3x
Finally, we should divide both sides by 3 to get our unknown variable x alone on the right side of the equation.
x = 83.33
Therefore, B costs £83.33.
Hope this helps!
Answer:
71 degrees
Step-by-step explanation:
The angles in a triangle add to 180 degrees, so
∠M + ∠A +∠T = 180
We know ∠M is 82 degrees, and ∠A is 27 degrees, so we can substitute them in.
82+27+∠T=180
109+ ∠T=180 Combine like terms by adding 82 and 27
109-109+ ∠T=180-109 Subtract 109 from both sides to get ∠T by itself
∠T=71
So, the m∠T is 71 degrees
They share the tips in the ratio 1:3:5.
How much more does Brian get over Paul?
Answer:
Step-by-step explanation:
678
If Patricia had two pizzas cut into eighths, she had 16 slices. After eating 1/4 of a pizza (2 slices) on Friday and 3 slices on Saturday (total of 5 slices), she had 11 slices left.
Patricia had two pizzas, and each was cut into eighths. This implies she had 2 * 8 = 16 slices of pizza initially. If Patricia ate 1/4 of a pizza on Friday, that's equivalent to eating two slices (since each pizza had 8 slices) and then she ate 3 more slices on Saturday. So, Patricia in total ate 2 + 3 = 5 slices.
Subtracting the amount Patricia ate from her initial number of slices will give the remaining slices. So, she has 16 - 5 = 11 slices of pizza left.
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60 skateboards were sold for maximum revenue.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Quantity Demanded is inversely related to price as Quantity Demanded increases then price decreases.
Initially,
Q = 50 when P =70
Q = 51 when P=69
Finally, Q=0 when P =120
Q=120 when P=0
Slope = -1
Use the point slope formula
y=mx + b
or Q=-P+b
50= -70+120
b=120
So, Q=-P+120 is the equation for the demand curve
now, Revenue
PQ = P(-P+120) = -P2 + 120P
R' = -2P + 120 and set it equal to zero and solve for P
-2P+120 = 0
2P=120
P = $60
That is the revenue maximizing price plug it into the demand curve equation
Q=-P+120
Q=-60+120
Q = 60
Thus, the number of skateboards sold that maximizes revenue is 60
and, the maximum revenue = 60x60
= $3,600 for a week
Learn more about equation here:
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Answer:
fds
Step-by-step explanation:
O $36.00
O $44.97
O $27.25
None of the above.
To calculate the total cost, let's break down the purchases and apply the discount:
Price per pack of socks: $17.99
Buy one pack, get the second one at 1/2 off:
- 1st pack: $17.99
- 2nd pack (1/2 off): $17.99 / 2 = $8.99
Total cost for 2 packs of socks: $17.99 + $8.99 = $26.98
Since you want to buy 3 packs of socks, we'll calculate the total cost:
Total cost for 3 packs of socks: $26.98 x 3 = $80.94
However, none of the provided options match this total. The correct answer is: None of the above.