Answer:
Cathy was driving at a speed of 67 miles per hour.
Step-by-step explanation:
Fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105.
We solve this using a rule of three.
1 mile - $15
x miles - $105
Applying cross multiplication:
15x = 105
x = 105/5 = 7.
Cathy was 7 miles above the speed limit.
How fast was Cathy driving?
7 miles above the speed limit of 60 miles per hour, so 60 + 7 = 67 miles per hour.
Cathy was driving at a speed of 67 miles per hour.
Answer:
thirty three hundredths
Step-by-step explanation:
4/10 + ? = 73/100
4/10 is the same as 40/100
73-40=33
<u>33/100</u>
There would be 101.33 students the following year
<h3>Ratios </h3>
From the question, we are to determine the number of students for the following year
From the given information,
There are 3 PA's for 38 students
If the ratio stays the same and
There were 8 PA's the following year, the number of students would be x
x = (8 × 38) / 3
x = 304 / 3
x = 101.33 students
Hence, there would be 101.33 students the following year
Learn more on Ratios here: brainly.com/question/2914376
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Step-by-step explanation:
<u>Statement Reason </u>
BA and BC opposite rays Given
AC is a straight line Definition of opposite rays
∠ABD + ∠CBD = ∠ABC Angle addition postulate
∠ABD + ∠CBD = 180° Definition of linear pair
m∠ABD = 5x + 7 Given
m∠CBD = 9x + 19 Given
5x + 7 + 9x + 19 = 180 Substitution property of equality
14x = 180 - 26 Subtraction property of equality
x = 154/14 Division property of equality
x = 11 Proved
Wasp, any member of a group of insects in the order Hymenoptera, suborder Apocrita, some of which are stinging. Wasps are distinguished from the ants and bees of Apocrita by various behavioral and physical characteristics, particularly their possession of a slender, smooth body and legs with relatively few hairs.
