Answers:
Step-by-step explanation:
Our equation is: 
With f meaning "fare" (price) and m meaning "miles".
Question 7 - Juan's fare for his ride costs $6.05. We must solve for 
.
Step 1. Substitute - <em>Substitute the fare for 
in the equation.</em>
Step 2. Simplify/Solve - Solve for .
<em>- Distribute</em>
<em>- Subtract 0.2 from 2.25</em>
<em>- Subtract -2.05 from 6.05</em>
<em>- Divide both sides by 0.2</em>
<u>And you have your answer of 20 miles.</u>
Question 8 - Same equation, different fare.
Step 1. Substitute
Step 2. Solve
And like so, we have 
<em>The equation given is 
. S = typing speed, w = words per 5 mins, and e= errors.</em>
Question 9 -
<em>We are given this information: S = 55, W = 285. We are solving for e</em>.
Substitute -
Solve -
So they would make 1 error.
Question 10 -
<em>Information given: 300 = w, 5=e. We are solving for S</em>
Substitute -
Solve -
Their speed is 50.
Question 11 -
<em>Information given: S = 65, e = 4. We are solving for w.</em>
Substitute -
Solve -
So w = 365.
Answer:
553.0 in³
Step-by-step explanation:
(please see attached for reference)
Assuming you are asked to find the volume,
the volume of the cylinder is given by
V = πr²h
where,
π=3.142
r = given as 4 inches
h = given as 11 inches
Substituting these values into the formula,
V = πr²h
V = 3.142 x 4² x 11
= 552.99
= 553.0 in³ (rounded to nearest tenth)
Answer:
(x − 7)(x + 3)
Step-by-step explanation:
Step 1: You need to find out what to numbers add up to −4 and multiply −21?
−7 and 3
Step 2: Just rewrite the expression using the above and you're done!
(x − 7)(x + 3)
Answer: The correct statements are 0.75 (x,y) = (0.75x, 0.75y) , LM is parallel to L'M' and "the vertices of the image are closer to the origin than those of the preimage".
Explanation:
It is given that the triangle ABC was dilated according to the rule DO,0.75 (x,y)
DO, 0.75(x,y) represents the rule of dilation. Where both x- and y-coordinates are multiplied by 0.75 the dilation is about the origin has a scale factor of 0.75. The notation for this dilation would be,
Therefore, the first statement is true.
Since both x- and y-coordinates are multiplied by 0.75, therefore the sides of image and preimage are parallel but the sides of image are 0.75th of the side of preimage.
Therefore, the second statement "LM is parallel to L'M'" is true but the third and fifth statement is false.
The scale factor is 0.75 which is less than 1, so the vertices of the image are closer to the origin than those of the pre-image.
Therefore, the forth statement "The vertices of the image are closer to the origin than those of the pre-image" is true.
