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bazaltina [42]
2 years ago
5

Rewrite the expression without parentheses. 15m − ( 3 + 5m )

Mathematics
1 answer:
marin [14]2 years ago
8 0

Answer:

Rewritten: 15m -3 - 5m

Step-by-step explanation:

15m − ( 3 + 5m )

15m -3 - 5m

10m - 3

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The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​
Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

<u>Step 1: Define</u>

P = 163 yards

w = 2l + 8

l = l

<u>Step 2: Set up equation</u>

P = 2w + 2l

163 = 2(2l + 8) + l

<u>Step 3: Solve for </u><em><u>l</u></em>

  1. Distribute 2:                              163 = 4l + 16 + l
  2. Combine like terms:                 163 = 5l + 16
  3. Subtract 16 on both sides:        147 = 5l
  4. Divide both sides by 5:             147/5 = l
  5. Rewrite:                                      l = 147/5
  6. Evaluate:                                    l = 29.4 yards

<u>Step 4: Find </u><em><u>w</u></em>

  1. Define:                    w = 2l + 8
  2. Substitute:              w = 2(29.4) + 8
  3. Multiply:                  w = 58.8 + 8
  4. Add:                        w = 66.8 yards
4 0
3 years ago
You decide to work part-time at a local veterinary hospital. The job pays $9.50 per hour and you work 20 hours per week. Your em
nadezda [96]

Answer:

a. Weekly Gross pay:

= 9.50 * 20

= $190

b. Federal tax withheld:

= 10% * 190

= $19

c. FICA Tax withheld:

= 5.65% * 190

= $10.74

d. State tax withheld:

= 5% * 190

= $9.50

e. Weekly net pay

= Gross pay - taxes

= 190 - 19 - 10.74 - 9.50

= $150.76

f. Percentage withheld for taxes:

= (19 + 10.74 + 9.50) / 190 * 100%

= 20.7%

8 0
2 years ago
Simplify and solve each equation for the x
SpyIntel [72]

Answer:

x = 2

Step-by-step explanation:

2(2x+1-x)=6

2(x+1)=6               add common factors

2x+2=6                distribute the 2

2x=4                     subrtract 2 on both sides

x=2                        divide 2 on both sides

8 0
2 years ago
Connie collected 50 seashells during her 5-day vacation. Each day she collected 3 more than the previous day. How many seashells
vfiekz [6]

Answer:

The number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively

Step-by-step explanation:

This is a question that deals with consecutive numbers.

Let x represent the number of seashells collected on her first day.

Given that she collected 3 more each day, then

On day 2, she collected x + 3

On day 3, she collected x + 6

On day 4, she collected x + 9

On day 5, she collected x + 12

Adding up the above will give the number of sea shells collected on day 1;

i.e.

x + x + 3 + x + 6 + x + 9 + x + 12 = 50

Collect like terms

x + x + x + x + x + 3 + 6 + 9 + 12 = 50

5x + 30 = 50

5x = 50 - 30

5x = 20

Multiply ⅕ to both sides

⅕ * 5x = ⅕ * 20

x = 4.

This mean that she found 4 seashells on day 1;

Recall that day 2 = x + 3

So, day 2 = 4 + 3 = 7 seashells

day 3 = x + 6

day 3 = 4 + 6 = 10 seashells

day 4 = x + 9

day 4 = 4 + 9 = 13 seashells

day 5 = x + 12

day 5 = 4 + 13 = 16 seashells

Hence, the number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively

6 0
2 years ago
Without using a calculator, order the following numbers from least to greatest
SpyIntel [72]
The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10
8 0
3 years ago
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