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damaskus [11]
3 years ago
7

You have an allowance to spend on lunch this week. You will spend the same amount each day,and you get to keep whatever is left

at the end of the week.After two days, you have $12.10 left. After five days, you have $2.50 remaining
Mathematics
2 answers:
Anni [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Each day, the same amount is spent.

Let X be the initial amount at the beginning of the week, T be the amount spent per day.

i. X - 2T = $12.1

ii. $12.1 - 3T = $2.5

Solving ii,

3T = 12.1 - 2.5

T = 9.6/3

= 3.2

Inputting this value in i,

X = 12.1 + (3.2 * 2)

= $18.5

In slope- intercept form, y = mx + c

Slope,m = y2 - y1/x2 - x1

= 2.5 - 12.1/5 - 2

= $-3.2 /day

y = -3.2x + 18.5.

Naily [24]3 years ago
5 0

Answer:

The total allowance is $18.5, and the amount spent daily is $3.2

Step-by-step explanation:

let T and x represent the total allowance and the amount spent daily respectively.

It was started that the amount remaining after 2 days is $12.10 , which implies the person has spend an equal amount for 2 days

T - 2x =12.10       (equation 1)

It was started that the amount remaining after 5 days is $2.50  , which also implies the person has spend an equal amount for 5 days

T - 5x =2.5       (equation 2)

subtract equation 2 from 1

T - 2x -( T - 5x ) = 12.10 -2.5

T - 2x -T + 5x = 9.6

3x =9.6

Divide both side by 3

x = 9.6/3 =3.2

from equation 1

T - 2x =12.10  

T = 12.10 + 2x = 12.10 + 2*3.2

= 12.10 + 6.4 = 18.5

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nignag [31]

1) 8 + 4 = -5 + 7

     12   =    2

        FALSE

2) y = -11x + 4

(0, -7):   -7 = -11(0) + 4   ⇒   -7 = 0 + 4   ⇒   -7 = 4   False

(-1, -7):  -7 = -11(-1) + 4   ⇒   -7 = 11 + 4   ⇒   -7 = 15   False

(1, -7):  -7 = -11(1) + 4   ⇒   -7 = -11 + 4   ⇒   -7 = -7   True

(2, 26): 26 = -11(2) + 4   ⇒   26 = -22 + 4   ⇒   26 = -18   False

Answer: C

3) Input       Output

     0                0

  <u>   1    </u>             3            

    2             <u>    6  </u>

    3                 9

 <u>   4    </u>          <u>  12   </u>

    5                 15

    6              <u>   18  </u>

Rule: input is being added by 1, output is 3 times x

4) c = 65h

5) 2x = -6

   \frac{2x}{2} = \frac{-6}{2}

    x = -3

6) 8j - 5 + j = 67

        9j - 5 = 67   <em>added like terms (8j + j)</em>

       <u>      +5</u>   <u>+5 </u>

        9j      = 72

       \frac{9j}{9} = \frac{72}{9}

        j      = 8

7) y = mx + b

<u>   -b</u>    <u>      -b  </u>

y - b = mx

\frac{y - b}{x} = \frac{mx}{x}

\frac{y - b}{x} = m

5 0
3 years ago
A scale model of an office building is 3' x 2' x 5' (length, width, height). If the actual building has a length of 45 feet, wha
Finger [1]

Answer:

C 101,250

Step-by-step explanation:

divide 45 by 3 its 15 so do 15x2 and 15x5 and multiply those together to find the volume

5 0
3 years ago
Xavier spent less than 2\5 of an hour walking home from school. Which fraction is less than 2\5? A5\7 B3\4 C5\10 D2\9
MAVERICK [17]
2/9 is less than 2/5 because since the denominator is larger, the pieces are smaller. (Numerator)
7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
frez [133]

Answer:

She will make a profit of one dollar because the cost of operation and production is 203 dollars in total and selling 17 necklaces she will make 204 dollars

Edit: b) She will need to sell exactly seventeen necklaces

Step-by-step explanation: Hope this helps!

5 0
3 years ago
6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol​
Sergeu [11.5K]

Answer:

<h2>x =  -  \frac{17}{4}</h2>

Step-by-step explanation:

6x + 3(4x - 2) = 5(2x - 8)

Expand the terms in the bracket and simplify

That's

6x + 12x  - 6 = 10x - 40 \\ 18x - 6 = 10x - 40

Using the subtraction property subtract 10x from both sides of the equation

18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 =  - 40

<u>Add 6 to both sides of the equation</u>

8x + 6 - 6 =  - 40 + 6 \\ 8x =  - 34

<u>Divide both sides by 8</u>

\frac{8x}{8}  =  -  \frac{34}{8}

<u>Reduce the fraction with 2</u>

We have the final answer as

x =  -  \frac{17}{4}

Hope this helps you

7 0
3 years ago
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