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Vedmedyk [2.9K]
4 years ago
8

Matthew currently has enough money to buy 45 toy cars. If the cost of each car was 10 cents less, Matthew could buy 5 more cars.

How much money does Matthew have to spend on toy cars?
Mathematics
1 answer:
Law Incorporation [45]4 years ago
5 0
The answer is $45

Let's make the system of equations.
x - the cost of the car
y - the amount Matthew has

<span>Matthew currently has enough money to buy 45 toy cars:
y =45x
</span><span>If the cost of each car was 10 cents less, Matthew could buy 5 more cars: 
y = (x - 10)*(45 + 5)

45x = (x - 0.10) * 50
45x = 50x - 5
5 = 50x - 45x
5 = 5x
x = 5 / 5
x = 1

y = 45x = 45 * 1 = $45</span>
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Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

To find : by which property are angles 4 and 5 congruent

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We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

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3 years ago
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Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per mon
Leokris [45]
Marilyn's finance charge at the end of the first month will be
  $991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
  $991.38 +16.44 -410.00 = $597.82

The finance charge at the end of the second month will be
  $597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
  $597.82 +9.91 -410.00 = $197.73

The finance charge applied at the end of the third month is
  $197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
  $197.73 +3.28 = $201.01
to pay off the balance.

In all, Marilyn has paid 2×$410.00 +201.01 = 
  $1021.01 . . . . . . . . corresponds to the first choice

_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.

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3 years ago
Need to know a number bio for 5/8 break apart 3 ways
Fynjy0 [20]

Answer:

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Step-by-step explanation:

5 divided by 8 = 0.625

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5/24

5*1 / 8*3 = 5/24. Therefore, 5/8 divided by 3 is equal to 5/24. In math you can flip the second denominator and numerator to multiply instead of dividing.

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