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agasfer [191]
2 years ago
8

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 Write an equation to determine th

e weight, w of each of Carl's checked bags
Mathematics
1 answer:
dangina [55]2 years ago
4 0

Answer: 2w + 4 = 35

Step-by-step explanation:

Carl's two checked bags and his one backpack together weigh 35kg.

Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

Equation is;

2w + 4 = 35

If you were to solve;

2w + 4 = 35

2w = 35 - 4

w = 31/2

w = 15.5kg

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A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
LuckyWell [14K]

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0
3 years ago
Read 2 more answers
The area of a square rug is 196 square feet. what is the side length, in feet, of the rug?
dusya [7]
The answer is fourteen, I think. Because 14*14=196.
4 0
3 years ago
There are four steps in the manufacturing process of a stuffed toy: cutting, stuffing, sealing, and packaging. There are two emp
Anit [1.1K]

Answer:

(a) 2min/15units

(b) 1min/20units

(c) The bottleneck stage is cutting. The process capacity is 450units/hour

(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times

Step-by-step explanation:

(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units

(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units

(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour

(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)

7 0
3 years ago
Who was a ruler of ancient Egypt?
olganol [36]

Answer:

mummy

i think

have a great evening

8 0
3 years ago
Read 2 more answers
I NEED HELPPP ON THIS PLZZZ
Anika [276]

Answer:

Perimeter of ABCD = <u>56 units</u>

Perimeter of WXYZ = <u>140 units</u>

Step-by-step explanation:

<u>To find the perimeter of ABCD, find the sum of all sides</u>

18 + 18 + 10 + 10 = 56

<u>To find the side lengths of WXYZ, use the equation:</u>   \frac{image}{pre-image}

45/18 = 2.5

<em>You can also cross multiply to find the missing side lengths, but I'll show you this other way...</em>

<u>Multiply the pre-image side lengths by 2.5</u>

18 × 2.5 = 45

10 × 2.5 = 25

<em>45 and 25 of the new side length of WXYZ</em>

<em />

<u>To find the perimeter of  WXYZ, find the sum of all sides.</u>

45 + 45 + 25 + 25 = 140

WX = 45, XY = 25, YZ = 45, ZW = 25

3 0
2 years ago
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