Plsss help 9th grade math
2 answers:
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Answer:
The age of each person is:
- Jess is <u>21</u> years old.
- Mac is <u>66</u> years old.
Step-by-step explanation:
To solve this problem you must make two equations. First, we name Jess and Mac as variables:
j = Jess age.
m = Mac age.
Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":
1.
The second equation has the information "The sum of their age is 87":
2.
Now, we replace the first equation in the second one:
And we operate:
We clear the variable m:
How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:
We replace the value of m:
And clear the variable j:
In the end, Jess's age is 21 years old.
Answer:
The number of bricks a truck can carry in full load is 308 .
Step-by-step explanation:
Given as :
The weight of each brick = 4 pounds and 14 ounce
The total load a truck can carry = tons
Let The number of bricks truck can carry = n bricks
<u>Now, According to question</u>
∵ 1 ounce = 0.0625 pounds
∴ 14 ounce = 0.0625 × 14 = 0.875 pounds
So, Total weight of each brick = 4 pounds + 0.875 pounds = 4.875 pounds
<u>Again</u>
∵ 1 pound = 0.0005 tons
∴ 4.875 pounds = 0.0005 × 4.875 = 0.0024375 tons
<u>Now, Again</u>
The total load a truck can carry = tons = 0.75 tons
And The weight of each brick = 0.0024375 tons
So, The number of bricks =
I.e n =
∴ n = 307.69 ≈ 308
So, The number of bricks can truck carry = n = 308
Hence, The number of bricks a truck can carry in full load is 308 . Answer
Answer:
44°
Step-by-step explanation:
∠ DEB and ∠ AEC are vertical and congruent
Thus ∠ DEB = 58°
The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is
(DB + AC ) = 58° ( multiply both sides by 2 )
DB + AC = 116°, that is
DB + 72° = 116° ( subtract 72° from both sides )
DB = 44°