Answer:
Rewrite the equation as
3
b
+
4
c
=
a
.
3
b
+
4
c
=
a
Subtract
4
c
from both sides of the equation.
3
b
=
a
−
4
c
Divide each term by
3
and simplify.
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b
=
a
3
−
4
c
3
Step-by-step explanation:
Greater than because 1/4 equals .25 and 2/5 equals .20
When you have parallel lines cut by a transversal, alternate interior angles are congruent.
The 80 degree angle and the (20 + x) angles will be congruent.
Therefore, x = 60 degrees.
Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3
Step-by-step explanation:
Let x represent the number of multiple-choice questions in the math test.
Let y represent the number of open-ended questions in the math test.
The math test has 38 questions. It means that
x + y = 38
This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that
4x + 20y = 200 - - - - - - - - - -1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
48/16
y = 3
Substituting y = 3 into x = 38 - y, it becomes
x = 38 - 3 = 35
Answer:
On monday,the high temperature in abilene was 75.6 degrees Fahrenheit and the temperature in New york city was 54 degrees Fahrenheit.How many times greater was the high tempareture in Abilene than the high temperature in New York on monday plz show your work
Step-by-step explanation: