168
132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168
A = number of ants
w = number of worms
There are 20 more ants than worms.
⇒ a - 20 = w
There are 80 insects.
⇒ a + w = 80
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Solve for a and w :
-----------------------------------
a -20 = w -------------- (1)
a + w = 80 -------------- (2)
Substitute equation (1) into (2) :
a + (a - 20) = 80
a + a - 20 = 80
2a - 20 = 80 // combine like terms
2a = 100 // add 20 to both sides
a = 50 // divide by 2 on both sides
-----------------------------------
Sub a = 30 into equation (1) :
-----------------------------------
a - 20 = w
50 - 20 = w
w = 30
-----------------------------------
Find ants and worms :
-----------------------------------
ants = a = 50
worms = w = 30
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Answer: There are 50 ants and 30 worms.
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Answer:
x≥17
Step-by-step explanation:
arrow > is pointing to the right, line is going to right
with greater/less than or equal to signs (line under arrow ≥), the dot is filled in.
Answer:
12.0 cm
Step-by-step explanation:
Use Pythagorean theorem
a = 9
b = 8
hypotenuse = c =
c = 12.04 cm
Answer:
Number of batches she can make = 2
Step-by-step explanation:
Batch of muffins : cups of almond milk
= 1 : 3
Rose has 6 cups of almond milk.
How many batches of muffins could she make?
Let
x = number of batches she can make
Batch of muffins : cups of almond milk = x : 6
Equate both ratios
1 : 3 = x : 6
1/3 = x/6
Cross product
1 * 6 = 3 * x
6 = 3x
x = 6/3
x = 2 batches
Number of batches she can make = 2