Answer:
y = 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 0.5x - 2 ← is in slope- intercept form
with slope m = 0.5
Parallel lines have equal slopes, thus
y = 0.5x + c ← is the partial equation
To find c substitute (- 2, 1) into the partial equation
- 1 = - 1 + c ⇒ - 1 + 1 = 0
y = 0.5x + 0 , that is
y = 0.5x ← equation of parallel line
Answer:
x ≤ 22
Step-by-step explanation:
≤ means less than or equal to
≥ means greater than or equal to
<h3>
Answer: 9/100</h3>
========================================================
Explanation:
There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)
The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.
We use the idea mentioned in the hint to multiply the fractions:
(3/10)*(3/10) = (3*3)/(10*10) = 9/100
The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.
Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.
Answer:
P + M = 30
700P + 200M = 15000
Number of laser printers = 18
Number of color monitors = 12
Step-by-step explanation:
Let P = number of laser printers
Let M = number of color monitors
Given total number of boxes = 30
⇒ P + M = 30
Given:
- $700 = cost of laser printer
- $200 = cost of color monitor
- $15000 = total cost of order
⇒ 700P + 200M = 15000
Rewrite P + M = 30 to make P the subject:
⇒ P = 30 - M
Substitute into 700P + 200M = 15000 and solve for M:
⇒ 700(30 - M) + 200M = 15000
⇒ 21000 - 700M + 200M = 15000
⇒ 500M = 6000
⇒ M = 12
Substitute found value for M into P = 30 - M and solve for P:
⇒ P = 30 - 12 = 18
Answer:
It is a vowel only when it teams up with an <a>, <e>, or <o> to spell a single sound—as in the words draw, few, and low. So the letter <w> is a vowel only in the two-letter teams <aw>, <ew>, and <ow>. Everywhere else <w> is a consonant
Step-by-step explanation:
