Answer:
(1
, 2
)
Step-by-step explanation:
Given the 2 equations
7x - y = 7 → (1)
x + 2y = 6 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the y- term
14x - 2y = 14 → (3)
Add (2) and (3) term by term to eliminate y
15x = 20 ( divide both sides by 15 )
x =
=
= 1 
Substitute this value of x into either of the 2 equations and solve for y
Substituting in (2)
+ 2y = 6
2y = 6 -
=
( divide both sides by 2 )
y =
= 2 
Answer:
2 hours, 150 miles
Step-by-step explanation:
The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.
<h3>Separation distance</h3>
Jason got a head start of 20 miles, so that is the initial separation between the two drivers.
<h3>Closure speed</h3>
Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.
<h3>Closure time</h3>
The relevant relation is ...
time = distance/speed
Then the time it takes to reduce the separation distance to zero is ...
closure time = separation distance / closure speed = 20 mi / (10 mi/h)
closure time = 2 h
Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.
__
<em>Additional comment</em>
The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.
Answer:
i. terms = 5xy(z)^2 , -3zy
coefficient = 5 and -3
ii. terms = 1 , X ,x^2
coefficient = 1 , 1
iv. terms = 3 , -pq , qr, -rp
coefficient = -1 ,1 , -1
v. terms = X/2 , y/2 , -xy
coefficient= 1/2 ,1/2 and -1
Hello!
----------
The answer is 442.
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WORK: 170%=1.7*260=442
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Hope this helps and have a great day!
This question is incomplete
Complete Question
Mariah and Clarence are planning for a dinner party. The grocery store is selling a 25- pound turkey for $60 . Mariah states, "that means it costs $2.40 per pound of turkey." Clarence states, "that means $2.4 pounds of turkey cost $1 Is Mariah's statement, Clarence's statement, both statements, or neither statement correct?
Answer:
Mariah's statement is correct
Step-by-step explanation:
Mariah and Clarence are planning for a dinner party. The grocery store is selling a 25- pound turkey for $60 .
From the statements given above, we are to find the unit rate . This means the cost of the turkey per pound
Hence, the calculation is given below:
25 pounds of turkey = $60
1 pound of turkey = x
Cross Multiply
25 × x = $60 × 1
x = $60/25
x = $2.40
1 pound of turkey cost $2.40
Therefore, Mariah's statement is correct