Answer:
It would take them 6.667 minutes to paint 50 square feet together.
Step-by-step explanation:
This is a classic work problem. If Sam can do the job in 10 minutes, she can get done 1/10 of the job in one minute. If you can do the job in 5 minutes, you can 1/5 of the job done in one minute. To find out how many minutes it will take them together to paint 25 square feet, set the addition of their times equal to 1/x:
x is how long it takes them to get the job done together. Find the common denominator and multiply it through be everything to get rid of the denominators altogether. That denominator is 10x:
Simplify to get the simple equation x + 2x = 10 and 3x = 10. That means that x=3 1/3. That's how long it takes to do 25 square feet. Double that time for 50 square feet.
I'll focus on problem 19 and problem 22
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Problem 19
Answers:
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Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
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Problem 22
Answer: y = 27
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Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
Answer:
$17.35/h
Step-by-step explanation:
In order to get the amount per hour he made, you first need to calculate the global amount of money he made.
He was paid $2,900 then he had costs of $1,200, that leaves him a net income of $1,700 ($2,900 - $1,200)
Then he worked a total of 98 hours for that money.
A salary is an amount of money expressed by a period of time. In this case, we'll use hours.
So, Jonah earned $1,700 after 98 hours of work:
S = $1,700 / 98 hours = $17.35/h
Answer:
21 consonant tiles
Step-by-step explanation:
Henry has a bag containing 39 letter tiles, some consonants, and some vowels.
He selects a tile without looking and then replaces it. If he pulls 7 consonant tiles and 6 vowel tiles, which is the most likely number of consonant tiles in Henry's bag?
Step 1
We add up the number of tiles that he pulls out of the bag
= 7 consonant tiles + 6 vowel tiles
= 13 tiles
Step 2
We divide the total number of tiles in the bag by the total number of tiles that was pulled out of the bag
= 39 tiles ÷ 13 tiles
= 3
Step 3
The most likely number of consonant tiles in Henry's bag is calculated as:
3 × The number of consonant tiles that was pulled out of the bag.
Hence:
3 × 7 consonant tiles
= 21 consonant tiles.
Therefore, the most likely number of consonant tiles in Henry's bag is 21 consonant tiles.
Answer:
B. y= 2x–15
Step-by-step explanation:
The equation that represents the line that passes through the points (8, 1) and (10,5) is y= 2x–15
"x" is found on the left hand side of the bracket and "y" is found on the right hand side of the bracket :)
(8, 1) and (10, 5)
x in the first bracket is 8 and x in the second bracket is 10.
y in the first bracket is 1 and y in the second bracket is 5.
When this equation is applied to find the value for y we get:
y= 2x-15
y= 2(8)-15
y= 16-15
y= 1
y= 2x-15
y= 2(10)-15
y= 20-15
y= 5
We got back the values of y and this means that the equation was correctly chosen and the answer is correct :)
