Considering the given matrix, it is found that the number of solutions of the system of equations is given by:
B. 1.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The matrix form of the system can also be written as:
[tex]\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}5\\6\end{array}\right][/tex]
Applying the multiplication of the matrices, we have that:
x + 0y = 5 -> x = 5.0x + y = 6 -> y = 6.Hence the system has one solution, given by (5,6), and option B is correct.
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Given ∠A and ∠B are vertical angles with m∠A=20x+10 and m∠B=30x−10 .
What is x?
Enter your answer in the box
PLEASE HELP I APPRECIATE IT
Answer:
x = 2
Step-by-step explanation:
Vertical angles are equal to each other. It means that,
∠A = ∠B
So,
20x+10 = 30x−10
Taking like terms together, we get :
20x-30x=-10-10
-10x=-20
x=2
So, the value of x is 2.
the triangular prism below has equilateral bases with sides of 4 in and a height of 4.5 in and rectangular sides measuring by 4 in by 7in what is the lateral surface area of the prism?
Answer:
quite not sure
Step-by-step explanation:
Which option is an example of a survey?
A collecting data on pulse rate of a group of people
B. Flipping a coin 100 times and counting the number of heads
C. Asking kids in a kindergarten classroom about the average number of pieces of fruit they eat each day
D. Having a randomly selected group of students take a penci-and paper test and comparing the results with another randomly selected group of students who took the same test on the Computer
Answer:
C
Step-by-step explanation:
You are asking a group of people to gain knowledge, and through that, you would be conducting a survey.
what would the solution be?
Answer:
C.) y = 9
Step-by-step explanation:
Simply substitute in -2 for x.
y = -4(-2) + 1
y = 8 + 1
y = 9
What is this?
5 + 10
Answer: 15
Step-by-step explanation:
X=
x =
A. 6 2/3
B. 9
C. 12
Answer:
B). x=9
Step-by-step explanation:
4 x (5 + 4) =3 ×(x + 3)
36=3x+9
3x=27
x=9
Lily paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
Step-by-step explanation:
18.60$
I believe is your answer ...
tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator?
Answer: 1,080 dollars
Step-by-step explanation: Start with your initial value of $1,166.40 then subtract $86.40 to get $1,080.
What is the value of 12 Superscript 0?
Answer:
It's 1
Step-by-step explanation:
if the midpoint between (3, 4) and (5, y) is (4, -2), what is the value of y?
Answer:
y = -8
Step-by-step explanation:
to find the midpoint you add the two together then divide by 2
(4 + y) / 2 = -2
4 + y = -4
y = -8
Ali bought 16 packs of cola each pack had 6 cans he drank 9 cans how many left?
Answer:
87
Step-by-step explanation:
16 × 6 = 96 cans
96 - 9 = 87
Answer:
87
Step-by-step explanation:
Jill reads 6 books per month. The number of books varies directly with the
number of months. How many books does Jill read in a year?
The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages did Lionel have copied?
Answer:
250
Step-by-step explanation:
You do 20/.08 to get 250.
Answer:
2.5
Step-by-step explanation:20/8=2.5
Determine the quotient of 2 over 5 divided by 3 over 4.
I NEED HELP ASAP
Answer:
8/15
Step-by-step explanation:
(2/5)/(3/4)
keep change flip
2*4=8
5*3=15
8/15
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex] (convert division to multiplication by inverting the second fraction)
= [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex] (combine fractions by multiplying numerator with numerator and denominator by denominator)
= [tex]\frac{(2)(4)}{(5)(3)}[/tex]
= [tex]\frac{8}{15}[/tex]
simplify this please
7^x ÷ 7^y
Answer:
[tex]\huge\boxed{7^{x-y}}[/tex]
Step-by-step explanation:
We can use basic exponent rules to simplify this expression.
We know that [tex]a^b \div a^c = a^{b-c}[/tex].
Since we have the same base (7) and different exponents (x, y), we can subtract the exponents and raise the base to that power.
[tex]7^{x-y}[/tex]
Hope this helped!
3. In a perspective drawing, the ratio of the distance from the vanishing point to the height
of a tree is 25/7.Write a proportion that could be used to calculate the height of a tree
that is drawn 60 centimeters from the vanishing point. Use your proportion to find the
height of that tree in the drawing.
Proportion:
Height:
4.In a perspective drawing, the ratio of the height of a stop sign to the distance from the vanishing point is 4/15.Explain how to find the distance from the vanishing point to place a stop sign that is drawn with a height of 6 inches.
Please help,I need to finish this missing assignment or I won’t get my phone back.
Answer:
if it helps try dividing those two numbers so like 25/7
ab-a-b+1
I know it splits into a(b-1)-1(b-1) but can someone explain in words how it becomes (a-1)(b-1) thanks
Answer:
ab - a - b + 1 = (a - 1)(b - 1)
Step-by-step explanation:
Let us explain factorization by grouping
In the expression of 4 terms ax + by + bx + ay
Take every two terms have a common factor in a bracket
(ax + ay) + (bx + by)Take the common factor out of the brackets
a(x + y) + b(x + y)Take the bracket as a common factor
(x + y)(a + b)Let us do these steps with our question
∵ ab - a - b + 1 is an expression of 4 terms
→ Take ab and a in a bracket, -b and 1 in another bracket
∴ ab - a - b + 1 = (ab - a) + (-b + 1)
→ Take a as a common factor from the 1st bracket and -1 from
the 2nd bracket
∴ (ab - a) + (-b + 1) = a(b -1) + -1(b - 1)
→ Take the bracket (b - 1) as a common factor
∴ a(b -1) + -1(b - 1) = (b - 1)(a + -1)
∵ (+)(-) = (-)
∴ (b - 1)(a + -1) = (b - 1)(a -1)
→ Change the order of the bracket
∴ (b - 1)(a -1) = (a - 1)(b - 1)
∴ ab - a - b + 1 = (a - 1)(b - 1)
Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)
Answer:
x= -5
Step-by-step explanation:
3(5x+10)+10=6x-(x+10)
15x+30+10=6x-x-10
15x+40=5x-10
15x-5x=-10-40
10x=-50
x=-5
Answer:
x= -5
Step-by-step explanation:
trustttt mannn
Use the figure below to solve for X.
x=45, we know 2x is 90 because it is a right angle, so we can divide 90 by two, to get 45. Now to substitute, 90+55+(45-10) = 180, therefore, this answer would make logical sense.
PLZ HELP I WILL MARK BRAINLEST!
Answer:
5
Step-by-step explanation:
80 is at the top and 40 takes half of the bottom so the other half is 40.
15/120 = 0.125 so...
40x0.125 will be your answer.
You get 5.
The 3 in the 73.084 _ times the 3 in 65.732.
Answer:
it would be 3.0 times 0.03 so the answer is 0.9
Suppose b is an integer. If b mod 12 = 5, what is 8b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 8b is divided by 12
Answer:
8 b mod 12 is equal to 4.
Step-by-step explanation:
Use Dividend = Divisor × Quotient + Remainder
As b mod 12 = 5 (that is division of b by 12 gives a remainder of 5)
[tex]b=12k+5[/tex]
Here, k is any integer.
Multiply both sides of [tex]b=12k+5[/tex] by 8
[tex]8b=8(12k+5)\\8b=8(12k)+40[/tex]
write 40 in terms of 12
[tex]40=36+4=12(3)+4[/tex]
[tex]8b=8(12k)+12(3)+4\\8b=12(8k+3)+4[/tex]
Therefore,
8 b mod 12 is equal to 4.
please hurry I need this fast
Answer:
option #2
Step-by-step explanation:
Mia has a large bag of sweets. if she shares the sweets equally among 2,3,4,5 or 6 people there will always be one sweet left over. what is the smallest number of sweets there could be in the bag?
Answer:
4
Step-by-step explanation:
a phone company advertises a new plan in which the customer pays a fixed amount of $25 per month for unlimited calls in the country and $0.10 per minute for international calls. if a costumer uses 65 international minutes, how much do they owe?
Answer:
$31.50
Step-by-step explanation:
To solve this problem, create the equation
y = 0.10x + 25
Where x is equal to the number of international minutes and y is equaled to the total price paid. Since we are give the number of international minutes (the x), plug this into the equation and solve for y.
y = 0.10(65) + 25
y = 6.5 + 25
y = 31.5 or $31.50
Graph x<2. I will give yall 20 points :)
Answer:
a????
Step-by-step explanation:
sorry if I'm wrong might be b
Answer:
D
Step-by-step explanation:
It is x<2 which means x can not be 2, so it is a dotted line, then x is anything less than 2, so it is shaded to the left.
Simplify i31.
1
−1
i
−i
Answer:
D. -i
Step-by-step explanation:
I took the quiz and got a 100%
The required value of the complex number [tex]i^{31}[/tex] = -i.
Given that,
To determine the value of complex numbers [tex]i^{31}[/tex].
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is a complex number?The number that are constitute of real and imaginary numbers are called complex number. complex number can be represents as z = a+ ib ,where a = real part and bi = imaginary part.
Here,
[tex]i^4 = 1[/tex] and [tex]i^3 = -i[/tex]
For complex numbers [tex]i^{31}[/tex]
[tex]=i^{31}\\=(i^4)^7.i^3\\=1.-i\\=-i[/tex]
Thus, the required value of the complex number [tex]i^{31}[/tex] = -i.
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What is the value of n?
Answer:
A. 95°Step-by-step explanation:
see attached
Determina el valor de la expresión:
4 + 3 [4 – 26 – 3)] ÷ 2
Answer:
-33.5, -71/2, or 35 1/2 they are all the same
Step-by-step explanation:
To what subset(s) of the real numbers does the
number - 0.45 belong? Explain your answer.
Answer:
Integers, and rational, I know this because -0.45 is a negative number and because rational numbers include all categories.
Step-by-step explanation: