Answer:
Jeremy's house is 4.5 inches far from his friend's house on the map
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ The house of Jeremy's friend is 72 miles away from his home
∴ The actual distance between the two houses is 72 miles
∵ The scale on Jeremy's map is inch is equivalent to 8 miles
∴ Each miles on the map represents actual distance 8 miles
By using the ratio method
→ Map length : Actual length
→ inch : miles
→ : 8
→ x : 72
By using cross multiplication
∵ x × 8 = × 72
∴ 8 x = 36
- Divide both sides by 8
∴ x = 4.5
x represent the distance between the two houses on the map
Jeremy's house is 4.5 inches far from his friend's house on the map
x=2.31. that will be your answer.
Sum of two opposite angles in a Cyclic Quadiratral is 180°
9514 1404 393
Answer:
{4, 5, 6, 7, 8}
Step-by-step explanation:
The inequality related to the perimeter is ...
x +(x +4) +11 < 32
2x < 17 . . . . . . . . . . . . subtract 15
x < 8.5
The inequality related to the triangle inequality is ...
(x) +(x +4) > 11
2x > 7
x > 3.5
Then possible whole-number values of x are ...
{4, 5, 6, 7, 8}
Using a system of equations, Brian should use 3 pounds of almonds and 9 pounds of hazelnut to make the mixture.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of pounds of almonds.
- Variable y: Number of pounds of hazelnut.
Considering that he makes 12 pounds, at a price of 12 x 10.35 = $124.2, the equations are given as follows:
From the first equation, y = 12 - x, hence, replacing in the second:
10.8x + 10.2y = 124.2
10.8x + 10.2(12 - x) = 124.2
0.6x = 1.8
x = 1.8/0.6
x = 3
y = 12 - x = 12 - 3 = 9.
Brian should use 3 pounds of almonds and 9 pounds of hazelnut to make the mixture.
More can be learned about a system of equations at brainly.com/question/24342899
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