Answer:
There are 10 pigs and 30 chickens
Step-by-step explanation:
Let the number of pigs be x
let the number of chickens be y
Then there are 40 heads . So the total number of pigs and chickens is 40
x + y = 40-----------------------(1)
We know that pigs have 4 legs and chickens have 2 legs
4x + 2y = 100----------------------(2)
Solving (1) and (2)
multiply (1) by 2
2x + 2y = 80-------------------------(3)
subtract (3) from (2)
4x + 2y = 100
2x + 2y = 80
----------------------------
2x = 20
----------------------------

x = 10
Now Substituting x in (1), we get
10 + y = 40
y = 40 - 10
y = 30
<span>The correct answer for this question is that Alice Correa will have spent $6.07 on the cloth overall. This can be worked out through first considering what 5% of the original price will be, so $5.79 / 100 = 0.0579 x 5 = $0.28, so $5.79 + $0.28 = $6.07</span>
Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x = 
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
There is 3.7 grams of sugar in each ounce of sugar Buzz.
Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.
Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.
y is proportional to x, hence:
y = kx; k is the constant of proportionality.\
When x = 12 ounce, y = 44.4 grams, hence:
12k=44.4
k = 3.7 gram per ounce
Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.
Find out more at: brainly.com/question/25049845
Divide 8 ft by 0.75, then divide by one third.