<u>Part 1)</u> "Four times the difference of a number and is "
Let
x--------> the number
we know that
the expressions is equal to
therefore
<u>the answer part 1) is</u>
<u>Part 2)</u> "One third of a number is less than the number itself"
Let
x--------> the number
we know that
the expressions is equal to
therefore
<u>the answer part 2) is</u>
<u>Part 3)</u> "Ten increased by the quotient of a number and is "
Let
x---------> the number
we know that
the expressions is equal to
therefore
<u>the answer Part 3) is</u>
<u>Part 4)</u> "One less than the product of a number and is more than the number itself"
Let
x---------> the number
we know that
the expressions is equal to
therefore
<u>the answer Part 4) is</u>
Answer:
18 pounds
Step-by-step explanation:
Quantity of Rift valley blend mixed = 90 pounds
Quantity of Arabian Mocha blend = 27 pounds
Mixture proportion of Rift valley blend : Arabian Mocha blend
= 90 : 27
= 10 : 3
This implies that for every 10 pounds of Rift Valley blend, we mix 3 pounds of Arabian Mocha.
So since the proportion is constant for the secret blend the let the unknown quantity of Arabian Mocha be "x" while the Rift Valley quantity be 60 pounds
Using constant proportion
10 :3 is equivalent to 60: x
Using the law of ratio, we have
3/10 = x/60
Cross multiplying both sides, we have:
10x =180
Dividing both sides by 10, we have:
x = 180/10
x = 18 pounds
So the quantity of Arabia Mocha to be used is 18 pounds.
Answer:
(B) Slope increases, correlation increases
Step-by-step explanation:
The plot graph is having a positive correlation with all of the dots located near the line. The new tenth data is located in the bottom left, touching the right side of the line. Since the new data is very close to the line, the correlation will increase. The data is located on the right of the line so it will shift the line to the right. If the bottom part of the line shift to the right, the slope will become higher.
(multiply each term in the parentheses by 5)
5(x+4)
5 x x = 5x
5 x 4 = 20
5x + 20