The inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
<h3>Writing linear inequalities </h3>
From the question, we are to match the statements with the corresponding inequalities
- Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall
x ≤ 100 -5
x ≤ 95
- Temperature(x) is greater than the boiling point of water (100 °C)
x > 100
- John buys x chocolates worth $5 each but he has only $100 in his pocket
5x ≤ 100
- Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day
x ≤ 100
and
x ≥ 1/5 × 100
x ≥ 20 ≡ 20 ≤ x
∴ 20 ≤ x ≤100
Hence, the inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
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Answer:
Step-by-step explanation:
2) 8=n+3/-2
we cross multiply
n+3=8*(-2)
n+3= -16
n= -16 - 3
n= -19
lets check if we are correct
8=-19+3/-2
8= -16/-2
-16/-2=8
4) 9=x/2+6
we first calculate the fraction
x/2+6
L. c. m is 2
x/2+6/1=4x + 8/2=12x/2
2 times 2=4 plus x = 4x
2 times 1 =2 plus 6= 8
thats how i got 4x + 8/2
back to the question
9=12x/2
cross multiply
12x=9*2
12x=18
x=18/12
we will use 2 to divide it
9/2
3 will divide
3/2
x=3/2
We have been given that Mark had $436.
Further, we are given that Chris has $86 lesser than what mark had.
Let us assume that Chris has $x. Therefore, we can set up an equation:
(Amount Chris had) + $86 = (Amount Mark had)
Upon subtracting 86 from both the sides, we get:
Therefore, the required expression that represent the amount of money that Chris had is 
.
Answer:
B) Yes, ΔMNO ≅ ΔPON by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.
Answer:
<em>31.317 </em>
Step-by-step explanation:
