Answer:
4) (2)(4)(3.14) = 25.12 m
5) (12)(3.14) = 37.68 ft
6) (2)(2)(3.14) = 12.56 yd
How can you determine the number of solutions of a system of linear equations by inspecting its equations?
Step-by-step explanation:
To find - How can you determine the number of solutions of a system
of linear equations by inspecting its equations?
Proof -
There exists three types of solution for a system of linear equations.
1. No solution.
2. Unique solution.
3. Infinite many solutions.
Now,
Let the 2 linear equations are as follows :
y = ax + b
y = cx + d
1. For no solution -
a = c and b ≠d
For example-
y = -2x + 5
y = -2x - 1
Subtract first equation from second , we get
y - y = -2x - 1 - ( -2x + 5)
⇒0 = -2x - 1 + 2x - 5
⇒0 = -6
Not possible
So, There exist no solution.
2. For unique solution -
a ≠ c and b , d can be any value
For example -
If b and d are same ,
y = 2x - 4
y = -3x - 4
Subtract equation 1st from 2nd , we get
y - y = -3x - 4 - ( 2x - 4)
⇒0 = -3x - 4 - 2x + 4
⇒0 = -5x
⇒x = 0
⇒y = 2(0) - 4 = -4
∴ we get
x = 0, y = -4
If b and d are different
y = 2x - 4
y = -3x + 5
Subtract equation 1st from second
y - y = -3x + 5 - 2x + 4
⇒0 = -5x + 9
⇒-5x = -9
⇒x = [tex]\frac{9}{5}[/tex]
⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]
∴ we get
x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]
3. Infinitely many solution -
a = c and b = d
For example -
y = -4x + 1
y = -4x + 1
Subtract equation first from equation second
y - y = -4x + 1 - ( -4x + 1)
⇒0 = -4x + 1 + 4x - 1
⇒0 = 0
Satisfied
So, Infinite many solution possible.
Please help ill give brainliest to THE RIGHT ANSWER
Answer:
It is B
Step-by-step explanation:
Hope I helped
Canarie Manufacturing produces snow shovels. The selling price per snow shovel is $29.00. There is no beginning inventory. Costs involved in production are: Direct material $4.00 Direct labor 4.00 Variable manufacturing overhead 3.00 Total variable manufacturing costs per unit $11.00 Fixed manufacturing overhead per year $233,550 In addition, the company has fixed selling and administrative costs of $162,400 per year. During the year, Canarie produces 51,900 snow shovels and sells 46,500 snow shovels. Exercise 5.11 What is the value of ending inventory using full costing? Value of ending inventory
Answer:
Value of ending inventory = $97,650
Step-by-step explanation:
Full costing is a costing method that consider all the costs including all variable and fixed costs in determining the cost of producing products or services.
From the question, we have the following:
Total variable manufacturing costs per unit = $11.00
Fixed manufacturing overhead per year = $233,550
Number of snow shovels produced during the year = 51,900
Number of snow shovels sold during the year = 46,500
Therefore, we have:
Total variable manufacturing costs incurred during the year = Total variable manufacturing costs per unit * Number of shovels produced during the year = $11.00 * 51,900 = $570,900
Based on full costing, we have:
Total cost of producing snow shovel during the year = Fixed manufacturing overhead per year + Total variable manufacturing costs incurred during the year = $233,550 + $570,900 = $804,450
Production cost per unit = Total cost of producing snow shovel during the year / Number of snow shovels produced during the year = $804,450 / 51,900 = $15.50
Number of ending inventory = Number of snow shovels produced during the year - Number of snow shovels sold during the year = 51,900 - 46,500 = 6,300
Value of ending inventory = Number of ending inventory * Production cost per unit = 6,300 * $15.50 = $97,650
A book store is having a 30% off sale, Diary of a Wimpy Kid books are now $6.30 each. What was the original price of the books?
Answer:
The original price of the books were $9.
Step-by-step explanation:
%100 - %30 = %70
%70 = 0.7
$6.30 ÷ 0.7 = $9
If Bob has 5 apples and he hasn't done his laundry how much time does it take him to find his ex?
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. Which expression matches the situation?
A. 9(3) + 5(4)
B. 3(5) + 9(4)
C. (5+9) + (3+4)
D. 47
A
Because of 3 adults bought 3 tickets, 9 x 3. 9(3)
4 students bought 4 tickets, 4 x 5, 4(3)
During a huge snowstorm in the White Mountains last year, it snowed 67.5 cm In one day. How much did it snow in meters?
Be sure to include the correct unit
Solve |p+3|= 5. Graph the solution set.
Answer:
2
Step-by-step explanation:
|x+3| = 5
graph it on desmos
Write the number in standard form.
2 x 102
Answer:
210
Step-by-step explanation:
Last week, the price of gas was $2.25 per gallon. This week,
the price of gas has increased by 4%. What is the price of gas
this week?
G
Answer:
$2.25 + 4% = $2.34
It increased by 9 cents
Step-by-step explanation:
What the answer to this question 8 (x+5)
$4,000 principal earning 6% interest after 3 years Simple Interest
Answer:
$4720
Step-by-step explanation:
Simple Interest
A=P(1+in)
A- Accumulated Amount
P- Principal Amount
i- Interest (÷100)
n- Number Of Years
A=P(1+in)
A=4000(1+0.06×3)
A=4000(1.18)
.°.A=$4720
Who want to help me out
Answer:
A, B, and C
Step-by-step explanation:
Since there are no right angles, 89 is too close to 90 which is a right angles (which there are no angles even close to 90) and 94 would be too large since all angles are less than 90 degrees.
43%
Mrs Hassan gave her Year 8 class a test on Friday.
The highest possible mark for the test was 10.
The results are shown below.
201
a) How many pupils scored more
than 7 in the test?
15
b) How many pupils are there in
Mrs Hassan's Year 8 class?
Number of pupils
10
5
c) What assumption have you
made in answering part b)?
0 1 2 3 4 5 6 7 8 9
10 Test mark
Clip 10
View One Minute Version
O
Answer:
The answer is below
Step-by-step explanation:
a) The number of pupils who scored more than 7 in a test = pupils who shored 8 + pupils who shored 9 + pupils who shored 10
The number of pupils who scored more than 7 in a test = 7 + 3 + 1 = 11 pupils
b) Total number of pupils = pupils who shored 0 + pupils who shored 1 + pupils who shored 2 + . . . + pupils who shored 9 + pupils who shored 10
Total number of pupils = 0 + 1 + 4 + 0 + 0 + 8 + 0 + 2 + 7 + 3 + 1 = 26 pupils
c) It is assumed that nobody scored either 0 or 3 or 4 or 6. Also the highest mark was assumed to be 10
Answer:
Step-by-step explanation:
Mrs. Moore used the spinner below for a game played during Bear Time.
What is the probability that the next student to spin the spinner will get
blue?
Red Orange
Blue
Red
Red
Blue
Green Orange
1/4
1/2
O 1/8
O 3/5
Answer:
1/8
Step-by-step explanation:
yay
the cost of 5 cans of dog food is 4.35. how much do 11 cans of dog food cost
É só vc ir somando até 11.
Ou multiplicar por 11.
4,35x11
Espero ter ajudado!
What is the volume of this composite solid?
5 m
12 m
9 m
A. 864 cubic meters
B. 567 cubic meters
C. 1188 cubic meters
D. 132 cubic meters
I need help plz may mark brainiest
The answer is a. 864
How likely is it that the spinner will land on a green space?
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
-3/5 + ( - 1/10) simplified fraction
Answer:
-1/2
if it's not right let me know
Step-by-step explanation:
A restaurant has a total of 30 employees there are 14 who work in the evening and the rest work during the day what is the ratio of employees who work in the evening to employees who work during the day?
A: 7:8
B: 7:15
C: 8:7
D: 8:15
What is the value of x in the equation 2.5x = 100?
A. 4
B. 5
C. 40
D. 80
Which system of linear equations has a solution of (2, 3)?
Answer:
i don't know
Step-by-step explanation:
How do you simplify sqrt 96 *
Answer:
4 times the square root of 6 (4[tex]\sqrt{6}[/tex] )
Step-by-step explanation:
Use a factor tree
Help plz!!,!!!!!!,!!!!!,!,!,!,
Answer:C
Step-by-step explanation:
Write an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors. Show your work.
Answer: 6(6m - 1)
Step-by-step explanation:
6 - 4(3 - 6m) + 12m
= 6 -12 + 24m + 12m
= 36m - 6
= 6(6m - 1)
Evaluate the expression when a=6 and b=9.
6² – 3a / b
Simplify your answer as much as possible.
(7^3)^-5
Please help! :)
Can you please help me?
Answer:
[tex]\frac{20}{36}[/tex]
Step-by-step explanation:
the total amount of squares within this square is 36
and the number of shaded squares would be 20
so if 20 squares out of 36 squares are shaded, then the fraction is
[tex]\frac{20}{36}[/tex]
or 55.56%
(to find percentage multiply [tex]\frac{20}{36}[/tex] by 100)
Answer:
5/9
= 55.56% ( to the nearest hundredth).
Step-by-step explanation:
The total number of little squares in the large square = 6*6 = 36.
Total number of shaded squares = 2*6 + 2*4
= 12 + 8 = 20.
So the fraction of shaded part
= 20/36
= 5/9.
As a percentage this is 5*100/9
= 55 5/9%
= 55.55..... %
Can someone help me with 6?
Answer:
you mesuare the apple to see if it greater or less than 3 centimeter
Step-by-step explanation: