Point W was translated as follows W(-4,7) -> W'(-2,4) a student wrote the algebraic rule to describe the translation as (x,y)->(x-3,y+2) evaluate the students answer

Answers

Answer 1
Answer: Student did it wrong. The translation is: (x,y) → (x+2, y - 3 ).
Explanation:
For x- coordinate: -4 + 2 = -2
For y- coordinate: 7 - 3 = 4

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A recipe says to use 3.5 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x. Round your answer to the nearest tenth.

Answers

Answer: 0.07 cups/cookie

Step-by-step explanation:

The Constant of proportionality is the measure by which the number of cookies made, y increases to the number of cups of flour used, x.

If 3.5 cups of flour makes 48 cookies then how many cookies does 1 cup make;

= 3.5/48

= 0.07 cups/cookie

for his long distance phone service, lamar pays a $3 monthly fee plus 11 cents per minute. last month, lamar's long distance bill was $20.82 . for how many minutes was lamar billed

Answers

Let the number of minutes be = x.

Cost per minute = 11 cents = 0.11

Phone Bill = Monthly fee  +    0.11* x 

Substituting from the question

20.82 = 3 + 0.11x

3 + 0.11x = 20.82

0.11x = 20.82 - 3

0.11x = 17.82

x = 17.82/0.11

x = 162  

Lamar was billed for 162 minutes.

Roland took a cab from his house to the airport. The cab company charges $3.00 to start the meter and $.50 per mile after that from Roland's house to the airport. What is the total amount roland has to pay the cab driver at the airport

Answers

Hey there,

We'll  say that he when 10 miles
right f the bat he paid $3.00
the he drove 5 miles so that would be $8.00
Because $.50 per mile and $3.00 at frist

Matt bought 7 shirts for a total of $38. Tee shirts cost $5 and long sleeve shirts cost $6. How many of each type of shirt did he buy? HELP PLZ 100 POINTS

Answers

Answer:

tee shirt:4

sleeve shirt:3

Step-by-step explanation:

we are given two conditions

  1. Matt bought 7 shirts for a total of $38
  2. Tee shirts cost 5 dollars and long sleeve shirts cost 6 dollars

we want to figure out how many each type of shirt he bought

let tee and sleeve shirts be t and s respectively

according to the first condition

\displaystyle t + s = 7

according to the second condition

\displaystyle5t + 6s = 38

therefore

our system of linear equation is

\displaystyle\begin{cases}t + s = 7 \n 5t + 6s = 38 \end{cases}

so

now we need our algebra skills to figure out t and s

to do so we can use substitution method

cancel s from both sides of the first equation:

\displaystyle t = 7 - s  \: \cdots \: i

now substitute the value of i equation to the second equation:

\displaystyle 5(7 - s) + 6s = 38

distribute:

\displaystyle 35 - 5s+ 6s = 38

collect like terms:

\displaystyle s +  35 = 38

cancel 35 to both sides:

\displaystyle \therefore s = 3

now substitute the value of s to the i equation:

\displaystyle t = 7 - 3 \n  \therefore \: t = 4

hence,

he bought tee shirt4 and sleeve shirt3

1/10 of 700
1/5 of 700

Answers

(1)/(10)*700= (700)/(10)  = 70 \n  \n  (1)/(5) *700= (700)/(5) =140
1/10=0.1
700x0.1=70

1/5=0.25
700x0.2=140

Write a story that can be represented by the following equation: x + 16 = 42

Answers

Answer:

Amanda bought 42 apples and gave 16 away how many are left.

Step-by-step explanation:

X=26

Answer:

Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.