Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?
Answers
=> First let’s add the total amount of hours Theresa rendered.
=> 9 + 7 = 16 hours in total
Her total pay was $116.00. What is her rate per hour?
=> Let’s solve for the unit rate:
=> 16 hours for 116 dollars.
Let’s find x dollars / hour
=> 116 dollars / 16 hours = 7.25 dollars / hour.
Thus, she is paid 7.25 dollars every hour she do her work
9 hours on Monday + 7 hours on Wednesday = 9 + 7 = 16 hours
$116.00 / 16 hours = 116.00 / 16 = $7.25
The correct result would be $7.25.
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Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years. Enter an inequality that can be used to represent this situation in the first box, where x represents Juanita's cousin's age. Enter the youngest age Juanita's cousin can be in the second box.
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Answers
Answer:
Step-by-step explanation:
To find the measure of angle DBC, we can use the angle bisector theorem, which states that in a triangle, if a line bisects one of the angles, it divides the opposite side into segments proportional to the other two sides. In this case, BD bisects angle ABC, so:m∠ABD / m∠DBC = AB / BCWe are given:
m∠ABC = 8x
m∠ABD = 2x + 30So, we have:(2x + 30) / m∠DBC = AB / BCNow, we need to express AB / BC in terms of x. To do that, we'll use the fact that angles in a triangle add up to 180 degrees:m∠ABC + m∠ABD + m∠DBC = 180Substitute the given angle measures:8x + (2x + 30) + m∠DBC = 180Combine like terms:10x + 30 + m∠DBC = 180Now, isolate m∠DBC:m∠DBC = 180 - 10x - 30
m∠DBC = 150 - 10xNow, we can substitute this expression for m∠DBC back into our proportion:(2x + 30) / (150 - 10x) = AB / BCNow, you can solve for m∠DBC:Cross-multiply:(2x + 30)(BC) = (150 - 10x)(AB)Now, you would need more information about the relationship between AB and BC or additional angle measures to solve for the exact value of m∠DBC. Without that additional information, you can't determine the specific angle measure.
The survey sample includes current customers.
The population of the survey includes everyone the farmer called.
The population of the survey is all residents of the neighboring city whose phone number is listed.
The survey sample includes residents of the neighboring city whose phone number is listed.
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Answer: The population of the survey includes everyone the farmer called.
Step-by-step explanation:
Answers
Answer:
13.9
Step-by-step explanation:
Use Pythagorean Theorem:
Both of the lengths given are the legs,
13.5^2 + 3.2^2 = c^2
182.25 + 10.24 = c^2
192.49 = c^2
13.87 = c
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wide and 120 yards long.
When you draw the diagonal, it divides the field into two right triangles.Each one
has legs with lengths of 120 yards and 53 yards. The diagonal of the field is the
hypotenuse of both right triangles.
(120)² + (53)² = (the hypotenuse)²
14,400 + 2,809 = (the hypotenuse)²
17,209 = (the hypotenuse)²
The diagonal (hypotenuse) = √17,209 = 131.183... yards (rounded)
I guess that's the longest straight line it is possible to run on a football field
while staying in bounds.
Answers
Answer:
Correct answer 94.6