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2 years ago

Which answer describes the pattern in this sequence? −4, −2, 0, 2, ...

Mathematics

1 answer:

Gekata [30.6K]2 years ago

4 0

<h3>Answer:</h3>

Add 2

<h3>Step-by-step explanation:</h3>

This sequence is an arithmetic sequence, not a geometric sequence, because it is adding/subtracting instead of multiplying/dividing.

We need to find the common difference, or the number that is added each time to get the next number in the sequence. This is fairly simple in this case. It is 2.

We know this because each number in the sequence is 2 more than the last.

$-4+2=-2$

$-2+2=0$

$0+2=2$

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Lyle works at a bakery. He needs to mix 1 cup of brown sugar and 12 cup of granulated sugar to make each tray of 60 cookies. Eac

andriy [413]

Answer:

50 trays

3000 cookies

Step-by-step explanation:

We are given the following in the question:

1 cup of brown sugar and $\frac{1}{2}$ cup of granulated sugar makes a tray of 60 cookies.

Total cups of sugar used(brown and granulated) = 1.5 cups

Number of sugar cups used by Lyle each week = 75

We have to find the number of trays made each week.

$\text{Ratio} = \dfrac{\text{Cups of sugar mixture}}{\text{Number of trays}}\\\\\dfrac{1.5}{1} = \dfrac{75}{\text{Number of trays}}\\\\\Rightarrow \text{Number of trays} = \dfrac{75}{1.5} = 50$

Thus, 50 trays of cookies are made each week.

Total number of cookies made each week =

$=\text{Number of trays}\times \text{Number of cookies in 1 tray}\\=50\times 60\\=3000$

Thus, 3000 cookies are made each week.

8 0

2 years ago

0.2x + 0.3y = 1.3.<br>0.4r + 0.5y = 2.3. solve by using substitution

Alexxandr [17]

Answer:

x=2, y=3.

Step-by-step explanation:

0.2x + 0.3y = 1.3

0.4x + 0.5y = 2.3

From the first equation y = (1.3 - 0.2x) / 0.3

Substituting in second equation:

0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3

Multiply through by 0.3:

0.12x + 0.5(1.3 - 0.2x) = 0.69

0.12x + 0.65 - 0.1x = 0.69

0.02x = 0.04

x = 2.

Substituting for x in equation 1:

0.2* 2 + 0.3y = 1.3

0.4 + 0.3y = 1.3

0.3y = 1.3 - 0.4 = 0.9

y = 3.

Check in equation 2:

0.4 * 2 + 0.5(3) = 0.8 + 1.5 = 2.3.

- Correct.

4 0

2 years ago

The owner of a football team claims that the average attendance at games is over 74,900, and he is therefore justified in moving

Slav-nsk [51]

Answer:

Option c (Upper tailed) is the correct choice.

Step-by-step explanation:

Given that:

The average attendance is:

= 74,900

We will have to test:

⇒ $H_0:\mu \leq \mu_0$

or,

$H_0: \mu \leq 74,900$

Verses,

⇒ $H_1: \mu> \mu_0$

or,

$H_1: \mu >74,900$

The other given alternatives aren't connected to the given scenario. So the above is the correct one.

4 0

2 years ago

A company manufactures two products X and Y. Each product has to be processed in three departments: welding, assembly and painti

Tems11 [23]

Answer:

100x+120y = z

z= $ 63000

Step-by-step explanation:

Product Welding Assembly Painting Cont. to profit

X 2x hours 3x hours 1xhour = $100x

Y 3y hours 2y hours 1y hour = $120y

Total hours 1500 hours 1500 hours 550 hours

available

Let X represent product X

Let Y represent Product Y

2x + 3y = 1500

x + y = 550

y= 550-x

2x + 3(550-x) = 1500

2x + 1650- 3x = 1500

150 = x

y = 550-150

y = 400

Objective Function Z = 100x + 120y

Z = 100(150) + 120( 400)

Z = 15000+48000

Z = $63000

7 0

2 years ago

Function Representations

viktelen [127]

Answer:

See joint picture.

Step-by-step explanation:

The study lasts 6 days. Since the amount of plant food decreased an equal amount each day, and since the whole 72 millimeters were used, it means that plants consumed 72/6 = 12 millimeters daily.

All the results given come from this justification.

7 0

2 years ago