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nikklg [1K]
1 year ago
13

Daryl is boarding a plane he has two checked bags of equal weight and a backpack that weighs 4 kilograms the total weight in Car

lsbad is 35kg write an expression to determine the weight w of each of Carl's checked bags and did the weight of each of his checked bags.

Mathematics
1 answer:
zalisa [80]1 year ago
5 0

Since we have two bags with weight w and one backpack with 4 kg, and the total is 35 kg, we can write the equation:

2w+4=35

Solving this equation for w, we have:

\begin{gathered} 2w=35-4 \\ 2w=31 \\ w=\frac{31}{2} \\ w=15.5 \end{gathered}

So each checked bag has 15.5 kg.

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Natalie added 20 pieces of candy to a bowl. Two days later, half of the candy in the bowl is gone. If there are 14 pieces left i
Salsk061 [2.6K]

Answer:

8 pieces of candy

Step-by-step explanation:

Take the original amount of candy in the bowl to be x.

It says that 20 pieces of candy were added, therefore there are x+20 pieces of candy in the bowl.

Half of the candy is gone, therefore \frac{x+20}{2} pieces of candy are left in the bowl.

After half of the candy is gone, there are 14 pieces left, so we can say that \frac{x+20}{2} =14

Solve for x:

x+20 = 28

x=8

8 0
3 years ago
This is the question click it ​
IgorC [24]

Answer:

C.  

Step-by-step explanation:

5/8 = 20/32

20/32 ÷ 2 = 10/16

10/16 ÷ 2 = 5/8

8 0
3 years ago
Read 2 more answers
Identify the coefficient(s), constants, and number of terms for the following expression:
shusha [124]
The given expression is: 4 x^{2} -5

So, there are two terms in the expression
1) 4 x^{2}
2) -5

The constant term is -5. 
The co-efficient of 4 x^{2} is 4.
7 0
3 years ago
“Drew has 50 red, green, and blue marbles. He has six more red marbles than blue marbles and four fewer green marbles than blue
kolezko [41]
(1) R+G+B=50
(2) R=B+6
(3) G=B-4 so substitute G in (1)
R+B-4+B=50 substitute (2) in here
B+6+B-4+B=50 group like terms and solve
3B+2=50
3B=50-2
B=48/3=16 substitute in (2) and (3)
R=16+6=22
G=16-4=12
Check
22+12+16=50✅


8 0
3 years ago
If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
Nadya [2.5K]

Answer:

 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

Given x = -2

(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

8 0
3 years ago
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