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ololo11 [35]
3 years ago
5

Solve 5(11x - 2) = 155

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

5(11x-2) = 155

55x - 10 = 155

55x = 165

x = 165/55

x = 3

Step-by-step explanation:

hope it helps

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Sweaters cost $39 each. This is $15 more than the price of a cap. Over the season, 725 caps were sold. What was the total sales
Leokris [45]

The price of a cap is 15 less than the sweater:

39-15 = $24

Multiply the price of a cap by amount sold:

725 x 24 = $17,400

4 0
3 years ago
Substitute this equation x+3y=18 & -x-4y=-25
sveticcg [70]

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}

5 0
3 years ago
Choose the correct description of the graph of the compound inequality : x - 1 < 12 or 2x > 30.
sveta [45]
I think it’s d to be honest I also may be wrong.
7 0
4 years ago
The lengths of the
Dmitrij [34]

Answer:

S_{\Delta ABC} = 4·S_{\Delta EDC}

Step-by-step explanation:

From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side

Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC

We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;

ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.

The length of the perimeter of ΔABC, S_{\Delta ABC} = 2 × The length of the perimeter of triangle ΔEDC, S_{\Delta EDC}

S_{\Delta ABC} = 2 ×  S_{\Delta EDC}

∴  S_{\Delta ABC}  ≠ 4 ×  S_{\Delta EDC}

The statement which is incorrect is therefore;

S_{\Delta ABC}  = 4 ×  S_{\Delta EDC}.

4 0
3 years ago
Ella is Bono motorcycle and he’s taking out a loan in the amount of $15,000 her choice is for the loan or a 36 month loan at 6.5
klemol [59]

Answer:

Step-by-step explanation:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the 36-month loan,

T = 36 months = 36/12 = 3 years

P = $15000

R = 6.5%

Therefore

I = (15000 × 6.5 × 3)/100

I = 292500/100

I = $2925

Considering the 48-month loan loan,

T = 48 months = 48/12 = 4 years

P = $15000

R = 7.5%

Therefore

I = (15000 × 7.5 × 4)/100

I = 450000/100

I = $4500

The difference in the amount of interest Ella would have to pay for these two loans is

4500 - 2925 = $1575

4 0
3 years ago
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