Answer:
There is a 15% chance a student chosen at random would have brown sandals.
Step-by-step explanation:
9514 1404 393
Answer:
1. yes
2. no
Step-by-step explanation:
We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.
1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.
[1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15) ⇒ -4x +11y = -5
2×[1] is 2(-x +2y) = 2(10) ⇒ -2x +4y = 20
These resulting equations match the ones proposed for the equivalent system.
yes, the systems are equivalent
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2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.
[1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6) ⇒ -13x -10y = 8
no, the systems are not equivalent
(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)
Answer:
x = 19°
Step-by-step explanation:
m∠DBA = m∠CBE = 71 because they are vertical angles
∠A and ∠DBA are complementary angles because the acute angles of a right triangle are complementary
So, m∠A + m∠DBA = 90
x + 71 = 90
x = 19°
Answer:
- a. $266.03
- a. About 43 months
Step-by-step explanation:
1. The calculation for the minimum payment is ...
0.035 × $7600.97 = $266.03
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2. The answer choices assume that Jorge makes a payment of $266.03 each month. After the first month, the minimum payment due is less than that amount. If Jorge only pays the minimum payment each month the balance will decrease by about 1.5% each month, and it will take about 31 years before the minimum payment is below $1.
The TVM Solver says it will be about 43 months for the card to be paid off if Jorge pays $266.03 each month.
Answer:
4x+2=4x+4, no solution
Step-by-step explanation:
first, i'm assuming the flower bed is a square so that all 4 sides are x+1. next, to find the perimeter you have to add up the side lengths of each shape.
vegetables: x + x+1 + x + x+1 = 4x+2 so the perimeter of the vegetables must be 4x+2
flowers: x+1 + x+1 + x+1 + x+1 = 4x+4
since the two must be equal, we have 4x+2=4x+4, this is the equation Trent can use
next, to solve the equation, subtract 4x from both sides to get 2=4. this obviously isn't true so there is no solution