Answer:
30
Step-by-step explanation:
Shoes + Shoes + Shoes = 30 (Shoes = 10)
Person + Person + Shoes = 20 (Person = 5)
Newspaper + Newspaper + Person = 13 (Newspaper = 4)
= Shoes + Person * Newspaper
= Person * Newspaper + Shoes
= 5 * 4 + 10
= 20 + 10
= 30
Answer:
The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour
Step-by-step explanation:
Let
x ----> the amount charged per hour by the first mechanic
y ----> the amount charged per hour by the second mechanic
we know that
the sum of the two rates was $170 per hour
so
----> equation A
Together they charged a total of $1825
so
----> equation B
solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (65,105)
see the attached figure
therefore
The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour
From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.
x+100+x=180
x=the base angle measures since they are congruent.
100+x+x=180
Community Property of Addition
100+2x=180.
Added x+x as like terms to = 2x.
100-100+2x=180-100
Subtraction of 100 from both sides to cancel it out and move it.
2x=80
Subtraction operation
2x/2=80/2
Divided by 2 to cancel it out on both sides and move it.
x=40°.
Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.
2(40)+100=80+100=180.
So x=40
Answer:
hello your question is incomplete attached below is the complete question
answer :
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )
Step-by-step explanation:
Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )