To answer the problem above, use the concept of ratio and proportion. The ratio between 1 cm to 21 km should be the same as the ratio of 3.1 cm to the actual distance. Let x be the unknown actual distance and mathematically express the situation,
(1 cm/ 21 km) = (3.1 cm / x km)
This equation gives a value for x which is 65.1 km. Therefore, the answer is letter C.
Answer:
Step-by-step explanation:
The third one :
- a is twice the mass of b so a=2b
- b and 2a combined equal 45
Answer:
(- 2 ; 4) or (-5 ; 1)
Step-by-step explanation:
y = x + 6
y = x² + 8x + 16
x + 6 = x² + 8x + 16
x² + 8x + 16 - x - 6 = 0
x² + 7x + 10 = 0
x² + 5x + 2x + 10 = 0
x(x + 5) + 2(x + 5) = 0
(x + 2)(x + 5) = 0
x + 2 = 0 => x₁ = - 2
x + 5 = 0 => x₂ = - 5
y₁ = - 2 + 6 => y₁ = 4
y₂ = - 5 + 6 => y₂ = 1
If you were to grill two hamburgers at the same it would take 5 minutes to grill one side of 2 hamburgers and ten minutes to grill 2 ham burgers on both sides. So 10 minutes would make two hamburgers while 20 minutes will cook 4 hamburgers than add and extra 10 minutes to cook the last hamburger on both sides.
10 minutes = 2 both side cooked hamburgers
+
10 minutes = 2 both side cooked hamburgers
+
an extra 10 minutes = another both side cooked hamburgers since we only need five
=
30 minutes in minimal time to cook five hamburgers
The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
<em><u>Solution:</u></em>
Let "s" be the price of 1 shirt
Let "h" be the price of 1 hat
<em><u>Given that Jones buys 7 t-shirts and 6 hats for $86</u></em>
Therefore, we can frame a equation as:
price of 1 shirt x 7 + price of 1 hat x 6 = 86
7s + 6h = 86 ------ eqn 1
<em><u>Also given that The price of each t shirt is $3 more than the price of each hat</u></em>
price of 1 shirt = 3 + price of 1 hat
s = 3 + h -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 2 in eqn 1
7( 3 + h ) + 6h = 86
21 + 7h + 6h = 86
21 + 13h = 86
13h = 86 - 21
13h = 65
<h3>h = 5</h3>
From eqn 2,
s = 3 + h = 3 + 5 = 8
<h3>s = 8</h3>
Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
