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s344n2d4d5 [400]
1 year ago
13

Which linear equation would produce a y-intercept of (0, 5) and a slope of 7?

Mathematics
1 answer:
Dafna11 [192]1 year ago
7 0

Answer:

y=7x + 5

Step-by-step explanation:

sub into y= mx + c

where m = slope/gradient (7)

and c = y-value of y-intercept (5)

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A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to
tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

 

From the problem statement, we can formulate the following equations:

1. y + z = 30                                         ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120                      ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90                        ---> each animal has 2 eyes only

 

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

 

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0
3 years ago
Height of a table tennis net: 6 in. height of a tennis net: 3ft
astraxan [27]
The table is 3.5 ft tall
7 0
3 years ago
Solve: 3(5x - 8) = 6x + 39
soldier1979 [14.2K]

Steps to solve:

3(5x - 8) = 6x + 39

~Distribute left side

15x - 24 = 6x + 39

~Add 24 to both sides

15x = 6x + 63

~Subtract 6x to both sides

9x = 63

~Divide 9 to both sides

x = 7

Best of Luck!

6 0
3 years ago
Arrange these numbers in increasing order: 216,000,000, 2.2 × 10 to the 3rd power, 3.1 × 10 to the 7th power, 310,000
ziro4ka [17]
<span>216,000,000
</span><span>2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
</span>3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
<span>310,000

Increasing order:
</span>2,200 , 310,000 , 216,000,000 , 31,000,000

So increasing order with original numbers:
2.2 × 10 to the 3rd power, 310,000, <span>216,000,000,  3.1 × 10 to the 7th power</span>
7 0
3 years ago
Question 83 pts
8_murik_8 [283]

Answer:

Ummm I dont know what subject it is so i will guess 2.3?

Step-by-step explanation:

I'm Sorry im really useless

4 0
3 years ago
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