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Digiron [165]
3 years ago
9

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each sca

rf uses 0.1, point, 1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 20 items.
Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Answer:

Elliot will make 4 hats and 16 scarves

Step-by-step explanation:

Let x be the number of hats and y be the number of scarves Elliot will make.

Elliott wants to make a total of 20 items, then

x + y = 20

Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then

0.1y = 2(0.2x)

Thus,

0.1y = 0.4x

y = 4x

Substitute it into the first equation:

x + 4x = 20

5x = 20

x = 4

y = 20 - 4

y = 16

Hence, Elliot will make 4 hats and 16 scarves

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Answer:

No

Step-by-step explanation:

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3 years ago
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Here is another riddle: The sum of two numbers is less than 2. If we subtract the second number from the first, the difference i
aivan3 [116]

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4 0
3 years ago
The temperature inside a certain industrial machine at time t seconds after startup, for 0 &lt; t &lt; 10, is given by h(t) = 42
frutty [35]

Answer:

t= \frac{125}{38} s

Step-by-step explanation:

We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

h(t)= 42 \cdot t +1 - 4\cdot t +2  (degrees \, C)

We want to know at what time t the temperature inside the machine will be equal to 128 °C.

So we set:

h(t)=128

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Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

42\cdot t-4\cdot t=128-1-2

and we simplify:

(42-4)\cdot t= 128-2-1= 125

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now it's easy to solve for t:

t=\frac{125}{38}

And thus we arrive to the solution.

5 0
3 years ago
YALL ARE WIZARDS IF YALL CAN DO IT
gayaneshka [121]

Answer:

So, lets say the refridgerator started at 37 degrees F alright?

Step-by-step explanation:

37 - 4 = 33

33 + 2 = 35

35 - 7 = 28

28 - 1 = 27

27 + 3 = 30

30 + 1 = 31

So the final temurature at 2:00pm would be 31 degrees F

Hope this helped :)

7 0
2 years ago
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Shtirlitz [24]

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Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The difference between the two polynomials can be solved as,

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