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3 years ago

(07.03 LC)

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

2y - 16

Step-by-step explanation:

Trust me because i just got done doing my test and i got the question correctly.

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Vugar has a maximum of 30 batteries for toys. Each toy helicopter uses the same number of batteries, and each toy car uses the s

Leno4ka [110]

Answer: 3H+4C<_ 30

The coefficients of the variables H and C represent the number of batteries each toy helicopter and each toy car uses.

Step-by-step explanation:

Each toy helicopter uses 3 batteries, and each toy car uses 4 batteries.

Now let's check whether Vugar has enough batteries for 5 toy helicopters and 4 toy cars. To do this, we substitute H=5 and C= 4 in the given inequality:

Does Vugar have enough batteries to play with 5 toy helicopters and 4 toy cars?

No, because if you plug in the value for H and C:

3H + 4C<_ 30

3(5) + 4(4) <_30

15 + 16 <_ 30

31 <_ 30; false

Since the inequality is false, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.

Each toy helicopter uses 333 batteries, and each toy car uses 444 batteries.

No, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.

6 0

3 years ago

Read 2 more answers

Does this table represent an exponential function? x 1 2 3 4 y 4 16 64 256

4vir4ik [10]

Answer:

Yes, the given table represent an exponential function.

Step-by-step explanation:

Given table is :

x y

1 4

2 16

3 64

4 256

Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function $y=ab^x$ .

We see that y-values are basically powers of 4 so we can write the related function as $y=4^x$ .

Which is clearly in form of $y=ab^x$ .

Hence yes, the given table represent an exponential function.

6 0

3 years ago

6. The perimeter of a parallelogram is 100 meters. The width of the parallelogram is 4 meters less than its length. Find the len

Ierofanga [76]

Answer:

x = 23, and y = 27.

Step-by-step explanation:

Lets say,

x = width

y = length

this means,

x(2) + y(2) = 100

It also says that the width is 4 meters less than the length.

if we put that into equation form it would look like this,

y - 4 = x

using these 2 equations, we can use the subustusion method to find the x.

x(2) + y(2) = 100

turns in to this :

step 1. (y - 4) (2) + y(2) = 100 - given

step 2. 2y -8 + 2y = 100 - distribute

step 3. 4y -8 = 100 - Combine like terms

step 4. 4y = 108 - Get rid of the 8

step 5 4y/4 = 108 /4 - divide

step 6 . y = 27

So if y is 27, then

x(2) + 27(2) = 100

x(2) + 54 = 100

100 - 54 = 46, so x(2) is 46, but to get x, we need to divide 46 by 2, since x multiplied by 2 equals 46.

46 / 2 = 23 = x

so x = 23, and y = 27.

and the rule that y - 4 = x still applies, since 27 - 4 = 23.

I hope this wasn't confusing! It did take a long time tho.

5 0

3 years ago

A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for

tresset_1 [31]

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

6 0

3 years ago

25 A A 24 07/24 24/25 0 25/7 24/7 07/25 6

labwork [276]

9514 1404 393

Answer:

(b) 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember that ...

Sin = Opposite/Hypotenuse

sin(C) = AT/CT

sin(C) = 24/25

7 0

3 years ago