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Rufina [12.5K]
3 years ago
5

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

imeter of the rectangle is 2(5x – 2) + 2(3x + 1). If x = 4 centimeters, what is the total distance Zohar needs to cut with the scissors?
Mathematics
1 answer:
enot [183]3 years ago
8 0
62 cm. plug in 4 for x. 2(5(4)-2))+2(3(4)+1))= 2(18)+2(13)= 36+26=62. Hope this helps!
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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
DanielleElmas [232]

Answer:

1. Let, Jamie needs "$ g" for the  trip. Then, according to the question,

g = 600 -------------------(1)

2. Let, Stella needs "$ m" for the trip. Then, according to the question,

m = 600 -------------(2)

3. If Jamie washes x no. of cars and Stella makes y no. of pies, then,

25x ≥ 600 ≥ 15y -------------(3)

4. Yes, Stella can afford to sign up for the trip with the money she earns.

Step-by-step explanation:

Let, Jamie needs "$ g" for the  trip. Then, according to the question,

g = 600 -------------------(1)

Let, Stella needs "$ m" for the trip. Then, according to the question,

m = 600 -------------(2)

if Jamie washes x no. of cars for $25 each and Stella makes y no. of pies

for $ 15 each, then, according to the question,

25x ≥ 600 ≥ 15y -------------(3)

Yes,  Stella can afford to sign up for the trip with the money she earns. Because, she can make at most 40 pies for $15 each and

$ 40 \times 15 = $ 600 = The amount of money Stella needs for the trip.

7 0
3 years ago
Pls answer quickly and lots of details
Elina [12.6K]

Answer:

=> 2.7 × 10³ × 8 × 10² / 4 × 10^-6

=> 2.7 × 8 × 10^3+2+6 /4

=> 5.4 × 10¹¹

5.4 × 10^11

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3 years ago
Homework due at 12:00<br> I Need Help
Leya [2.2K]

Answer:

<em>k = - 7.5 </em>

Step-by-step explanation:

Slope "m" of a line through points

( x_{1} , y_{1} )

( x_{2} , y_{2} )

is m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Slopes of perpendicular lines are opposite reciprocal: m_{1} m_{2} = - 1

~~~~~~~~~~~~~~~

The slope of a line through points (0, 7) and (2, 10)

m_{1} = \frac{10-7}{2-0} = \frac{3}{2}

Slope of perpendicular line through points (3, 5) and (k, 12) is m_{2} = -\frac{2}{3}

or m_{2} = \frac{12-5}{k-3}

\frac{7}{k-3} = -\frac{2}{3}

2(k - 3) = - 21

k - 3 = - 10.5

<em>k = - 7.5</em>

6 0
3 years ago
Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing
madam [21]

Answer:

12/15

Step-by-step explanation:

If the probability of drawing a read marble is 3/15

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3 years ago
(9×10−3)+(2.4×10−5)÷0.0012 in scientific notation
Svetllana [295]
2009x^10 -4169.66666666
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