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12345 [234]
3 years ago
8

1. Solve each problem and check your answer using estimates. a. $18.79 + $2.11 + ‐$1.92 + $17.28 b. $7.45 + ‐$24.45 + $74.17 + ‐

$76.52 c. $98.45 − $10.63 + $2.82 − $20.26
Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

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If you know how to do it, please help me out :)
Artemon [7]

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

y =  \frac{3}{4} x - 5

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

6 =  -  \frac{4}{3} (8) + c \\ 6 = -  \frac{32}{3}  + c \\ c = 6 +  \frac{32}{3}  \\  = 16 \frac{2}{3}

therefore L2:

y =  -  \frac{4}{3}x   + 16 \frac{2}{3}

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\  = 0

therefore L3:

y =  \frac{3}{4} x

8 0
2 years ago
Simplify the following algebraic expression: 2 (2x + 3y) + 3 (5 – 2x) +1+y
Gnoma [55]

Answer: -2x+7y+16

Step-by-step explanation:

1. Distribute 2 through the parentheses

  • 4x+6y+3(5-2x)+1+y              
  • 4x+6y+15-6x+1+y

2. Collect like terms

  • -2x+6y+15+1+y  
  • -2x+7y+15+1
  • -2x+7y+16

3. Solution, -2x+7y+16

5 0
3 years ago
What is a double angle identity to find the exact value of cos?
olya-2409 [2.1K]

find three consecutive number whose sum shall equal 45

8 0
2 years ago
I really need help with all the questions
nlexa [21]
1. 1,728

2. You can't tell because it doesn't say the amount one serving will serve, and how many servings she is serving, and how many people come to her party. Sorry!!

I hope I helped with the first one!
4 0
3 years ago
The lemonade stand at the county fair sells the lemonade at a price of two cups for $3.60. Complete the table at right to find w
kakasveta [241]
$3.60 for 2 cups would be $1.80 for one cup.

$3.60 for 2

$5.40 for 3

$7.20 for 4

$9 for 5

$10.80 for 6

$12.60 for 7

$14.40 for 8



4 0
3 years ago
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