Answer:
x = -44/13
y = -65/13
Step-by-step explanation:
Using matrix form means using the crammers rule
The matrix form of the expression is written as;
[tex]\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right][/tex]
AX = B
taking the determinant of A;
|A| = 8(1) - 5(-1)
|A| = 8 + 5
|A| = 13
After replacing the first row with the column matrix;
[tex]A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right][/tex]
|Ax| = 9(-1)-5(7)
||Ax| = -9 - 35
|Ax| = -44
x = |Ax|/|A|
x = -44/13
similarly for y
[tex]A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right][/tex]
|Ay| = 8(7)+9
|Ay| = 56+9
|Ay| = 65
y = |Ay|/|A|
y = -65/13
A company is thinking about offering employee wellness classes during operational hours to boost production. They want to perform an experiment to see if employees attending these classes improve their quality of work. What is the best way to randomly choose a group of employees to attend these classes?
Answer:
Use a computer software program that will pick employees randomly from a list.
Answer:
Use a computer software program that will pick employees randomly from a list
Step-by-step explanation
i took the test :)
a 550 washing machine is discontinued 15% how much is saved
The product of a number n and 8 is 32
Jose has 200 baseball cards. He has the Topps brand which he paid $1.50 each, Upper Deck Company brand which he paid $5.75 each, and Panini Group brand which he paid $2.60 each. He has 20 fewer Upper Deck Company brand than Panini Group brand. The total amount he spent was $589.50. How many of each brand of baseball cards does he have?
Answer:
Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.
Step-by-step explanation:
Given that Jose has 200 baseball cards, and he has the Topps brand which I have paid $ 1.50 each, Upper Deck Company brand which I have paid $ 5.75 each, and Panini Group brand which I have paid $ 2.60 each, and he has 20 fewer Upper Deck Company brand than Panini Group brand, and the total amount he spent was $ 589.50, to determine how many of each brand of baseball cards does he have, the following calculation must be performed:
100 Panini + 80 Upper Deck + 20 Topps = X
100 x 2.6 + 80 x 5.75 + 20 x 20 x 1.5 = X
260 + 460 + 30 = X
X = 750
80 Panini + 60 Upper Deck + 60 Topps = X
80 x 2.6 + 60 x 5.75 + 60 x 1.5 = X
208 + 345 + 90 = X
X = 643
60 Panini + 40 Upper Deck + 100 Topps = X
60 x 2.6 + 40 x 5.75 + 100 x 1.5 = X
156 + 230 + 150 = X
X = 536
70 Panini + 50 Upper Deck + 80 Topps = X
70 x 2.6 + 50 x 5.75 + 80 x 1.5 = X
182 + 287.5 + 120 = X
X = 589.5
Therefore, Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.
Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?
Which one is an example of an expression?
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer
How do you solve 12*0.2^8=x ?
Answer:
[tex]x = 3.072 * 10^{-5}[/tex]
Step-by-step explanation:
[tex]x = 12*0.2^8[/tex]
[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]
[tex]x = 3.072E-5 = 0.00003072[/tex]
Please answer this math question for me
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
Answer:
a = 45
Step-by-step explanation:
The total angle of the shape is 90°
That means you should subtract 90° from 45°
90 - 45 = 45
That's your answer!
Hope this helped :)
What is the LCM of 4 and 8
Answer:
8
Step-by-step explanation:
Let me make a table for you.
4,8,
8,
8 would be your answer.
Let me know if i can help you more!
trig question above plz plz plz help
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
y= -4x
Step-by-step explanation:
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
May I have help to figure out how to do this? It is confusing! :(
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3
Answer:
no
Step-by-step explanation:
n ≥ - 1
The inequality states that n is greater than or equal to - 1
To show the equal part on the number line the point at - 1 must be a solid circle, not an open one
No, the given number line does not represent the number line shown by Charles.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality is given by Charles,
n ≥ -1
But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.
Thus, the given number line does not represent the number line shown by Charles.
Learn more about number line here:
brainly.com/question/17683084
#SPJ2
The length the height of a rectangular prism are 12 feet and 9 feet respectively. Determine the width of the rectangular prism whose surface area is 258 square feet
Answer:
Width = x feet = 1 feet
Step-by-step explanation:
Surface area of a rectangular prism = 2(lw +lh + wh)
Length = 12 feet
Width = x feet
Height = 9 feet
Surface area = 258 square feet
Surface area of a rectangular prism = 2(lw +lh + wh)
258 = 2{(12*x) + (12*9) + (x*9)}
258 = 2(12x + 108 + 9x)
258 = 24x + 216 + 18x
258 - 216 = 24x + 18x
42 = 42x
x = 42/42
x = 1 feet
Width = x feet = 1 feet
1121 help44445555 ty
Answer:
B
Step-by-step explanation:
х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20
Answer:C 3/5
Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math
i need help plz :( i don’t understand
The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?
Answer:
35 inches
L×W=A
length×width=area
Answer:
35
Step-by-step explanation:
A = wl
7 x 5 = 35
Mark as Brainliest
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
Divide using a common factor of 5 to find an equivalent fraction for ten tenths
one fifth
two fifths
five-tenths
two halves
Answer:
the correct answer is two halves
Step-by-step explanation:
10/10 divided by 5 is 2/2
help me please this is super hard for me
Answer:
D
Step-by-step explanation:
Answer:
Answer is D I believe
Step-by-step explanation:
shows all of the possible outcomes
What is the total area of the figure below?
Triangle Review 2.0 (Math i need help please)
Answer:
A= 30
Step-by-step explanation:
This requires several steps.
First, you need to find the 2 other missing angles.
One can be found easily by substracting 130 from 180
so 180-130 = 50
The other angle is the same as 8x+4
Now set up your equation
180=3x-6 + 8x+4 +50
180 = 3x + 8x -6 + 4 +50
180+6-4-50 = 11x
132 = 11x
132/11 = x
12 = x
Now plug in 12 for x in your angle A
A=3x-6
A=3 * 12 - 6
A=36 - 6
A= 30
Solve for the value of a in the triangle below. Round your answer to the nearest tenth
Answer:
........................
The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit
Answer:
452.16 ft²
Step-by-step explanation:
Area = πr² = π(12)² = 144π = 452.16 ft²
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
15% tip, what would her total bill be?
Given:
Cost of each pizza including tax = $8.55
Number of pizzas = 4
Tip = 15%
To find:
Her total bill.
Solution:
We have,
Cost of 1 pizza including tax = $8.55
Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]
= [tex]\$34.2[/tex]
It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.
[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]
Thus, the amount of tip is $5.13.
Now the total amount of bill is:
[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]
[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]
[tex]\text{Total amount of bill}=\$39.33[/tex]
Therefore, the total amount of bill is $39.33.
O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?
Answer:
x=48
Step-by-step explanation:
Write an equivalent expression d+d+d+e+e+e?
please help