Answer: k = 27
Step-by-step explanation:
Here's the complete question:
Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.
An increase in k simply means that there's an addition. This will be:
k + 7 = 34
k = 34 - 7
k = 27
Therefore, the value of k is 27
Answer: x = 2 and z=78
Step-by-step explanation:
Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.
Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:
5x + 92 + 78 = 180
5x + 170 = 180
5x = 180 - 170
5x = 10
x = 10/5
x = 2
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To find how many people 60% is you need to do 0.60 × 220 = 132
Now you know that 60% of 220 is 132.
Then subtract 132 from 220
220 - 132 = 88
The answer is 88
Let's solve your equation step-by-step.
178.98
=
6
(
0.04
m
+
24.9
+
(
0.1
)
(
24.9
)
)
Step 1: Simplify both sides of the equation.
178.98
=
6
(
0.04
m
+
24.9
+
(
0.1
)
(
24.9
)
)
178.98
=
(
6
)
(
0.04
m
)
+
(
6
)
(
24.9
)
+
(
6
)
(
(
0.1
)
(
24.9
)
)
(Distribute)
178.98
=
0.24
m
+
149.4
+
14.94
178.98
=
(
0.24
m
)
+
(
149.4
+
14.94
)
(Combine Like Terms)
178.98
=
0.24
m
+
164.34
178.98
=
0.24
m
+
164.34
Step 2: Flip the equation.
0.24
m
+
164.34
=
178.98
Step 3: Subtract 164.34 from both sides.
0.24
m
+
164.34
−
164.34
=
178.98
−
164.34
0.24
m
=
14.64
Step 4: Divide both sides by 0.24.
0.24
m
0.24
=
14.64
0.24
m
=
61
Answer:
m
=
61