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jekas [21]
3 years ago
5

The length of a rectangle is 2yds longer than its width. If the perimeter of the rectangle is 64 yards, find the length and widt

h
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

Answer:

15 yards = width

length = 17 yards

Step-by-step explanation:

Perimeter = 2 x ( length + breadth)

let x = width

length = 2 + x

64  = 2(x + 2 + x)

64 = 2 (2 + 2x)

divide both sides by 2

32 = (2 + 2x)

solve for x

x = 15 yards = width

length = x + 2 + 15 + 2 = 17 yards

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A local school has was evaluated the the Education Department and received the
Angelina_Jolie [31]

Answer: 79

Step-by-step explanation:

Given the following :

Graduation Rates:

Grade:82

Weight: 50%

Passing Rates:

Grade: 75

Weight: 30%

Enrollment Numbers:

Grade: 60

Weight: 10%

Career readiness:

Grade: 95

Weight: 10%

Overall score : Σ(grade × weight)

(82 × 50%) + (75 × 30%) + (60 × 10%) + (95 × 10%)

= (41 + 22.5 + 6 + 9.5)

= 79

Hence, overall score is 79

5 0
3 years ago
What is p+1 +8 = 8p+16
padilas [110]

Answer:

Step-by-step explanation:

p+1 +8 = 8p+16

p+9 = 8p+16

9-16 = 8p-p

-7=7p

-7/7 =p

-1=p

5 0
3 years ago
7. Look at this figure
kap26 [50]

Answer:

thx for the 32 points

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Three lines are described below. Write an equation in slope-intercept form for each line.
grigory [225]

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

<h3>Slope-intercept Equation of Parallel and Perpendicular Lines</h3>
  • Slope-intercept equation, where b is the y-intercept and b m is the slope is represented as y = mx + b.
  • Equations of parallel lines have the same slope.
  • Equations of perpendicular lines will have slope that are negative reciprocal of each other.
  • If two lines are neither parallel nor perpendicular, their equation will have different slopes, and the slope of one is not the negative reciprocal of each other.

Therefore:

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

Learn more about slope-intercept form on:

brainly.com/question/25826868

7 0
3 years ago
Kristin opens a savings account with $3500. She deposits $2400 every year into the account that has a 0.65% interest rate, compo
motikmotik
To find the account balance for this question you have to use the formula of a compound interest and the formula of the future value of an annuity ordinary.

The formula of a compound interest is
A=p (1+r/k)^kt
A future value?
P present value 3500
R interest rate 0.0065
K compounded quarterly 4
T time 10 years

Also the formula of the future value of an annuity ordinary is
Fv=pmt [(1+r/k)^(kt)-1)÷(r/k)]
Fv future value?
PMT since the payment per year is 2400 so you should find the payment per quarter which is 600 (2400÷4) because the interest is quarterly.
R interest rate 0.0065
K compounded quarterly 4
T time 10 years

The sum of those two formulas is the answer.
The balance is
3,500×(1+0.0065÷4)^(4×10)
+600×(((1+0.0065÷4)^(4
×10)−1)÷(0.0065÷4))
=28,511.25.....answer

8 0
4 years ago
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