The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
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I’m giving brainliest to correct answer
Answer: 4 3 2 1 anything less than 5
Step-by-step explanation:
Answer:
X has to be bigger than 2 and smaller than 12
Step-by-step explanation:
For a triangle to be possible no side can be bigger than the sum of the other two.
Since 5 + 7 = 12, x has to be smaller than 12.
Since x + 5 => 7, x has to be bigger than 2.
Both conditions written:
2>X>12
21 11
5r1
Write the number
five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
A cow is tethered with a rope 20 m long. What is the maximum area the cow can graze? with a decimal
Bab needs help please ☹️
Answer:the area is 28.27
Step-by-step explanation:
im just that good
Solve for x. For your answer,
Answer:
17
Step-by-step explanation:
2x + 5 + 3x + 90 = 180, 5x=85, x=17
Evaluate cos 17x/6
ill give brainlist
The value of cos(17π/6) = cos(5π/6) = -√3/2.
Hence, cos(17π/6) evaluates to -√3/2.
To evaluate cos(17π/6), we can use the unit circle and the properties of cosine.
First, let's determine the reference angle.
The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.
The angle 17π/6 is greater than 2π, which means it completes more than one full revolution around the unit circle.
To find the reference angle, we can subtract 2π (or 12π/6) from 17π/6:
17π/6 - 12π/6 = 5π/6
Now, we can evaluate the cosine of the reference angle (5π/6).
In the unit circle, the reference angle 5π/6 corresponds to the point (cos(5π/6), sin(5π/6)).
The cosine value is represented by the x-coordinate of this point.
For the reference angle 5π/6, the x-coordinate is -√3/2.
Therefore, cos(17π/6) = cos(5π/6) = -√3/2.
Hence, cos(17π/6) evaluates to -√3/2.
For similar question on trigonometric functions.
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Question: How do you evaluate
cos
(17π/6)
What is equivalent to square root of 2 over 2? Select all that apply
Answer:
The answer is 2.
Step-by-step explanation:
please help me I’m begging you :)
Answer:
4
Step-by-step explanation:
Why would the polynomial, "[tex]x^2+5x-24[/tex]" factor out to (x-3)(x+8)?
Step-by-step explanation:
5x can also be written as " -3x + 8x " so:
[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]
Using the distributive property:
[tex]x(x-3)+8(x-3)[/tex]
Then again, using the distributive property (but in reverse):
[tex](x-3)(x+8)[/tex]
The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.
For eg (because that was a bit text heavy):
The product of the last term and the first coefficient (1 * (-24)) is -24
the factors of -24 include (and their sum)
-1, 24 (23)
1, -24 (-23)
-2, 12 (10)
2, -12 (-10)
-3, 8 (5)
3, -8 (-5)
-4, 6 (2)
4, -6 (-2)
The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.
Arjun earned $36 515 in 2019.
This was an increase of 9% on his earnings in 2018.
Work out his earnings in 2018.
Answer:
33500
Step-by-step explanation:
Let x= his wage in 2018
we know that
1.09*x= 36515
Solve for x (by dividing both sides by 1.09)
get 33500
students will randomly select a tile from a bag containing one red, one yellow, one blue and one green tile. and then roll a cube with faces numbered 1 through 6.
what is the probability that a student
A. draws a red or yellow tile and
B. rolls a number between 1 and 3.
answer as a percentage, to the nearest percent.
thanks for any help available!
Answer: 25 PERCENT
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
There are 4 colors, probability of red or yellow:
P(red or yellow) = 2*1/4 = 1/2
And a cube faces 1 to 3:
P(1 to 3) = 3*1/6 = 1/2
Probability of the two events above:
1/2*1/2 = 1/4 = 25%
Solve: 4(3x - 2) = 8(x - 8)
Giving 10 points for correct answer !!!
Answer:
12x-8 ______
Step-by-step explanation:
The second bit, I have no clue. But the first is just simplifying in algebra.
Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?
A.9.1 ft
B. 59.0 ft
C. 62.3 ft
D.65.7 ft
Answer:
Either c or d
Step-by-step explanation:
If the following data were transformed, and points with the coordinates
(x, log())) were plotted, what points would be plotted? Round log() to three
decimal places.
х
у
4.
81
5 243
6 729
O A. (81, 1.908), (243, 2.386), (729, 2.863)
O B. (4,1.908), (5,2.386)(6,2.863)
O c. (1.908, 4), (2.386,5), (2.863, 6)
O D. (1.908, 81), (2.386, 243), (2.863, 729)
Answer: B
Step-by-step explanation:
Which number is included in the set of integers that when added to 24 gives a sum of less than zero? Select all that apply.
7
-2
4
3
0
9
Answer:
immma send you the link friend me on hereStep-by-step explanation:
If f(x) = x2 - x, what is f(-3)?
Answer:
Step-by-step explanation:
Putting value of x = - 3 in the equation
f(x) = x2 - x
f(-3) = (-3)^2 - (-3)
= - 9 + 3
= - 6
need help with this asap
Answer: the first one is exponential and the second one is function
2. 5x + 7x + 3x = 60
What’s the value of x?
Answer:
Step-by-step explanation:
Simplifying
7x = -3x + -60
Reorder the terms:
7x = -60 + -3x
Solving
7x = -60 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
7x + 3x = -60 + -3x + 3x
Combine like terms: 7x + 3x = 10x
10x = -60 + -3x + 3x
Combine like terms: -3x + 3x = 0
10x = -60 + 0
10x = -60
Divide each side by '10'.
x = -6
Simplifying
x = -6
Answer:
4
Step-by-step explanation:
5 times 4 (20) + 7 times 4 (28) + 3 times 4 (12) = 60
Please helpp
Extra points and brainleist
Answer:
D
(x+3)^2=4(x+3)(x+3)=4x^2+3x+3x+9=4x^2+6x+9=4x^2+6x=4-9x^2+6x=-5x^2+6x+5=060% of 30 can someone help
the answer to ur question is 18
Find the area of triangle ABC.
Answer:
ans no b if you will apply the formula
Step-by-step explanation:
i think it's no b
Answer:
222.33 ft^2
Step-by-step explanation:
The formula to find the area of a triangle with two sides and an included angle is:
A=[tex]\frac{1}{2}[/tex]absin(C),
where a and b are the two sides and C is the angle in between.
Area=[tex]\frac{1}{2}[/tex]*32*19*sin(47)≈222.33
222.33 ft^3
I ordered some books online for myself and friends. Each book costs \$ 13$13 and the store charges a flat rate for shipping of \$ 20$20. Write an expression for the cost of buying nn books.
Answer: 13n + 20
Step-by-step explanation:
The cost of each book is $13. That means that if you end up buying "n" books, cost would be:
= Cost of each book * number of books
= 13 * n
= 13n
You would also get charged a flat rate for shipping of $20 which would be added to the above cost to bring a total of:
= 13n + 20
Lucy Lou went shopping a Hollister with her friends. Together they spent a mean price of $40 on 8
sweaters. The first 7 sweaters cost $50, $55, $30, $35, $39, $40 and $42. How much, in dollars,
does the 8th sweater cost?
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6
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8
9
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Answer:
$29
Step-by-step explanation:
Together they spent a mean price of $40 on 8 sweaters. The first 7 sweaters cost $50, $55, $30, $35, $39, $40 and $42. How much, in dollars, does the 8th sweater cost?
If the mean price is $40, 8 x 40 = the total price, = 320
Add up what we knew they spent:
50 + 55 + 30 + 35 + 39 + 40 + 42 = 291
The difference between those 2 numbers is the price of the 8th sweater
320 - 291 = 29
50 POINTS ASAPP
Which equation represents the line that is perpendicular to and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4
Answer: B
x = -6
HOPE THIS HELP
PLEASE HELP!!!!!
Whitney is buying a house next year. She applies for a $200,000 loan to be paid in 30 years. Her credit score is 575. Using the table, how much bigger will her monthly payment be than if her score were 850?
$99.00
$680.00
$160.00
$365.00
Answer:
Because here score is 575 she must pay 2365 per mo according to the table
If her score were 850 she would pay 1685 per month
So the difference in the two rates is:
2365 - 1685 = 680 a month more because of the low credit score
the second box has options in it that say “in the center”, “on the left”, and "on the right”
Answer:
skew right;
most of the data is on the left (the start)
Step-by-step explanation:
Observing the data distribution in the leaf plot given, we would see that most of the data are occuring at the start. This can be referred to as a positively skewed data. The tail of the distribution (the thin side) is to the right.
Therefore, the shape can be described as SKEW RIGHT.
24 times 57 times 34 plus 50
Answer:
46,562 :) Brainliest pleaseeee
~Answer~
46,562
24*57*34=46,512
46,512+50=46,562
If Frances can paint 15 of a wall in 20 minutes, how long will it take her to paint a room with 4 walls
Answer:
400 minutes
Step-by-step explanation:
20 *5 = 100
she needs 100 minutes to paint 1 wall
so for 4
100*4 =400 minutes
PLSSSSSSSSSSS ANSWER FASSTTT!!!!!!
Answer:
the only solution is 0
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2(x+3)=2x+6
Multiply 2 with the numbers in the parenthesis
2x+6=2x+6
If f (x) = 8(5x-2) find f -1 (x).
Step-by-step explanation:
f(x)=8(5x-2)
interchanging the role of x&y
x=8(5y-2)
x=40y-16x+16=401yy=(x+16)/40f-1(x)=(x+16)/10
stay safe healthy and happy.The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be [tex]f^{-1}(x)[/tex] =(x + 16)/40.
What is the inverse of a function?A function's inverse can be thought of as a reverse of the function.
For instance, if y = f(x), then x = f will be the inverse (y).
It implies that we must swap x and y in the inverse function.
As per the given,
f(x)=8(5x-2)
Interchange the variable y and x as,
⇒ x = 8(5y - 2)
⇒ x+16=401y
⇒ y = (x+16)/40
Put y = [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)[/tex] =(x + 16)/40
Hence "The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be [tex]f^{-1}(x)[/tex] =(x + 16)/40".
For more information about the inverse of a function,
brainly.com/question/2541698
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