Here we have 2 variables we need to calculate:
x - how many Volvos Jane sold
y - how many Volvos Melissa sold
We write system of equations:
x = 8*y
x - y = 35
------------
8y - y = 35
7y = 35
y = 5
x = 8*5 = 40
Jane sold 40 cars.
Answer:
The value of T₂₀ - T₁₅ is <u>-20</u>.
Step-by-step explanation:
<u>Given</u> :
<u>To</u><u> </u><u>Find</u> :
<u>Using Formula</u> :
General term of an A.P.
- >> Tₙ = nᵗʰ term
- >> a = first term
- >> n = no. of terms
- >> d = common difference
<u>Solution</u> :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :
Hence, the value of T₂₀ is a + 19d.
Secondly, finding the A.P of T₁₅ by substituting the values in the formula :
Hence, the value of T₁₅ is a + 14d
Now, finding the difference between T₂₀ - T₁₅ :
Hence, the value of T₂₀ - T₁₅ is -20.
Answer:
1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.
Step-by-step explanation:
From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same. This means that these three figures are congruent. Figure 2, however, is not congruent to any of the other 3.
C=A+B
C₄₁= row=4; column=1
C₄₁=A₄₁+B₄₁
=2(7)-3(4)
=14-12
=2
Answer: C₄₁=2
Answer:
(
−
2
)
=
−
1
4
(
−
8
)
(x-2)=\frac{-1}{4}(x-8)
(x−2)=4−1(x−8)
Solve
1
Eliminate redundant parentheses
(
−
2
)
=
−
1
4
(
−
8
)
−
2
=
−
1
4
(
−
8
)
2
Combine multiplied terms into a single fraction
−
2
=
−
1
4
(
−
8
)
−
2
=
−
1
(
−
8
)
4
3
Distribute
−
2
=
−
1
(
−
8
)
4
−
2
=
−
+
8
4
4
Add
2
2
2
to both sides of the equation
−
2
=
−
+
8
4
−
2
+
2
=
−
+
8
4
+
2
5
Simplify
Add the numbers
=
−
+
8
4
+
2
Solution
=
1
6
5
Step-by-step explanation:
