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Sergio039 [100]
2 years ago
12

What is the area of the parallelogram shown

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
5 0

9514 1404 393

Answer:

  60 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

The base of this parallelogram is 15 units, and its height is 4 units. The area is ...

  A = (15 u)(4 u) = 60 u²

The area is 60 square units.

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Solve the following equation:<br> 9n² - n - 2/3 = 0
KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - \frac{2}{9}

3 0
2 years ago
the length of a rectngle is 8/3 times as great as its widthwhat is the width if the length of a rectangle is 24 ft.
laila [671]
L=(8/3)W = 24 ft.  Solving for W, we mult. both sides of this eqn by (3/8), obtaining

W = (3/8)(24 ft) = 9 ft (answer)
4 0
3 years ago
Maria earns $80 per day working at a gas station. Write an algebraic expression to represent the amount of money she will earn i
Simora [160]

Answer:

The algebraic expression is 80d

Step-by-step explanation:

Maria's earnings per day = $80

Number of days= d

Total earnings for d days:

80d

Where,

80 is earnings per day

d is number of days

The algebraic expression is 80d

Algebraic equation is

y= 80d

Where

y= total income earned in d days

The expression is different from am equation because of the equal to sign(=)

3 0
3 years ago
Hose is 32 feet long 32 feet long it needs to be cut into pieces equaling 5’3” How many whole pieces can be cut into how many wh
luda_lava [24]

Answer:

6

Step-by-step explanation:

Question tests the ability to get quotient

Here, 32 ft is divided by 5’3”

Normally, ft is denoted by ' while inches is denoted by ". So we divide 32 ft by 5ft and 3 inches

First, we convert dimensions into similar units. To convert 5’3” to ft, we divide 3” by 12 hence 3÷12=0.25'

The total is now 5.25'

Now

32'÷5.25'=6.1538461538461

This means, we shall obtain 6 whole pieces with some remainder. Since the question needs the whole pieces only, then the answer is 6

3 0
2 years ago
Solve the system of equations two ways: 3x+y=5 and x-2y=4 A) using substitution B) using elimination
Vedmedyk [2.9K]
A. solve for 1 variable
let's solve for x in 2nd equation
add 2y to both sides
x=2y+4
sub 2y+4 for x in other equation
3(2y+4)+y=5
6y+12+y=5
7y+12=5
minu12 both sides
7y=-7
divide 7
y=-1
sub back
x=2y+4
x=2(-1)+4
x=-2+4
x=2
(2,-1)


B. eliminate
eliminate y's
multiply first equation by 2 and add to first

6x+2y=10
<u>x-2y=4 +</u>
7x+0y=14

7x=14
divide by 7
x=2
sub back
x-2y=4
2-2y=4
minus 2
-2y=2
divide -2
y=-1
(2,-1)



(2,-1) is answer
5 0
3 years ago
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