Answer:
15:21 = 5:7
Step-by-step explanation:
21/7 = 3
5 x 3 = 15
(a)
We are given
A worker on the production line is paid a base salary of $230.00 per week
so, base salary =230
Let's assume number pencils produced as x
plus $0.78 for each unit produced
now, we can find equation for earnings

now, we are given
her earnings of $446.84 for a week when she produced x units
so, we can set E(x)=446.84
and then we can solve for x







so, number of pencils = 278........Answer
(b)
If the worker had produced twice that number of units
so, number of pencils =2*278=556
now, we can find earnings

now, we can plug x=556

.................Answer
Answer:
11° is the measure of the exterior angles
Step-by-step explanation:
Theorem: Alternate exterior angles are congruent when two parallel lines cut by a transversal.
First we solve for x using the theorem
6x + 5 = 7x + 4
x = 1
Substitute x = 1 into 6x + 5
6(1) + 5 = 6 + 5 = 11°
Answer:
x=-8.5.
Step-by-step explanation:
First, write an equation. Twice x (2x) plus 7 (+7) is the same as (=) negative ten (-10), or 2x+7=-10. To solve, first subtract 7 from both sides to get 2x=-17. Then, divide both sides by 2 (x=-8.5).
The mathematical expression for x is is fewer than 9 is x< 9