Answer:
35
Step-by-step explanation:
5x (5+3)=40-5=35
3 kg of carrots cost £1.80
2 kg of carrots and 5 kg of potatoes cost a total of £3.45
Work out the total cost of 4kg of carrots and 2 kg of potatoes.
You must show all your working.
Step-by-step explanation:
Price of 3 kg carrots = 1.80
Price of 1 kg carrots = 1.80 ÷ 3 = 0.6
Price of 2 kg carrots = 0.6 x 2 = 1.2
Remaining amount = 3.45 - 1.2 = 2.25
Price of 5 kg potatoes = 2.25
Price of 1kg potatoes = 2.25 ÷ 5 = 0.45
Now
Cost of 4 kg of carrots = 0.6 x 4 = €2.4
Cost of 2 kg of potatoes = 0.45 x 2 = €0.9
The total cost of 4kg of carrots and 2 kg of potatoes is £3.30
What is the total cost?Total cost is the product of the cost of each unit and the number of units purchased.
As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,
[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]
[tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]
Thus, the cost of 1 kg carrot is £0.60.
Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,
[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]
[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]
Further, the cost of each kg of potatoes can be written as,
[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]
[tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]
Thus, the cost of each kg of potatoes is £0.45.
Further, the total cost of 4kg of carrots and 2 kg of potatoes can be written as,
[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]
Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30
Learn more about Total Cost:
https://brainly.com/question/15853856
Given the following triangle, what is the cos A?
[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]
[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]
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1) What is the equation of the line that passes through the point (-2,1) and has a slope of
-5/2?
Answer:
y=(-5/2)x-4
Step-by-step explanation:
Step 1: Define the equation of a line.
Equation of a line is written in the form y=ax+b where a is the slope and b is the y-intercept.
Step 2: Write the given parameters
(x1,y1)=(-2,1)
m=-5/2
Using the formula y-y1=m(x-x1)
y-1=-5/2(x-(-2))
y-1=-5/2(x+2)
y-1=(-5x-10)/2
By cross multiplication,
2(y-1)=-5x-10
2y-2=-5x-10
2y=-5x-10+2
2y=-5x-8
y=(-5x-8)/2
y=(-5/2)x-4
can someone help me with this
[tex]R.H.S\\\\= (a+b)(a^2-ab +b^2)\\\\=a^3-a^2b +ab^2+ba^2-ab^2+b^3\\\\=a^3+b^3\\\\=L.H.S\\\\\text{Hence, proved.}[/tex]
Which expression is equivalent to 3/5x +3
2/5x + 1/5x
4/5x - 1/5x + 3
2/5x + 3 3/5x -1
1 + 3/5x + 2
1 +x/5 + 2
1 + 2/5x +3
PLEASE HELP Using the 2 points below, write the slope intercept form equation of the line.
(3,−1) and (0,3)
Answer:
y = -4/3x +3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -(-1))/(0 -3) = 4/-3 = -4/3
The y-intercept is the point for which x = 0. The given point (0, 3) tells us the y-intercept is b = 3.
The slope-intercept form equation is ...
y = mx +b
y = -4/3x +3
Will give brainliest and 100 points if you answer correctly plz help!
Write the sentence below as an equation or inequality.
Craig has six less than half of the amount of dollars Bo has.
Group of answer choices
x
=
y
2
−
6
x
=
6
−
y
2
x
=
2
y
−
6
x
=
6
−
2
y
Flag question: Question 2
Question 21 pts
Write the sentence below as an equation or inequality.
To be flagged in a system you need to either score less than ten points, or greater than one hundred points.
Group of answer choices
10
<
x
<
100
10
≤
x
≤
100
10
≥
x
≥
100
10
>
x
>
100
Flag question: Question 3
Question 31 pts
Simplify:
−
5
x
3
+
6
y
2
+
8
x
3
−
6
y
Group of answer choices
3
x
3
+
6
y
2
−
6
y
−
3
x
3
+
6
y
2
−
6
y
11
x
3
+
6
y
2
−
6
y
−
11
x
3
+
6
y
2
−
6
y
Flag question: Question 4
Question 41 pts
Simplify:
3
x
5
+
4
x
2
−
8
x
5
+
3
x
2
−
8
x
Group of answer choices
5
x
5
+
7
x
2
−
8
x
−
5
x
5
+
7
x
2
−
8
x
5
x
5
−
7
x
2
−
8
x
−
11
x
5
+
7
x
2
−
8
x
Flag question: Question 5
Question 51 pts
Solve:
8
x
+
2
(
3
x
−
5
)
=
18
Group of answer choices
x = -2
x = -1
x = 1
x = 2
Flag question: Question 6
Question 61 pts
Solve:
(
4
x
+
5
)
5
=
9
Group of answer choices
x = -10
x = -5
x = 5
x =10
Flag question: Question 7
Question 71 pts
Write the inequality that represents the solution set to the given inequality below.
−
8
≥
x
−
2
≥
10
Group of answer choices
4
≤
x
≤
−
5
−
4
≤
x
≤
5
4
≥
x
≥
−
5
−
4
≥
x
≥
5
Flag question: Question 8
Question 81 pts
Write the inequality that represents the solution set to the given inequality below.
|
x
−
3
|
<
15
Group of answer choices
12
<
x
<
−
18
−
12
<
x
<
18
12
>
x
>
−
18
−
12
>
x
>
18
Flag question: Question 9
Question 91 pts
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Flag question: Question 10
Question 101 pts
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
Answer:
Step-by-step explanation:
The answer options are too confusing to decipher. Here are my solutions:
1. Craig(x) has six less than half of the amount of dollars Bo(y) has.
x = (1/2)y - 6
Questions 2 through 8 are either missing the statement or are too difficult to interpret.
9. Not a function since there is more than one solution to x=-3.
10. Yes, the function is y = 1
Answer:
Step-by-step explanation:
this makes no sense but okay
A worker's wages w, are a function of the number of hours h worked at a rate of $10 per hour.
Answer:
w+h+10=10wh
Step-by-step explanation:
Martin has read 40% of a book. He has 48 more pages to finish. How many pages are there in the book?
Answer: There are 80 pages in Martin's book.
48 pages = 60%
divide by six
8 pages = 10%
mulitiply by 10
80 pages = 100%
Hope this helps :)
Write a story that could represent this math problem. 70 points
Answer:
2/3+2/3+2/3+2/3+2/3
Step-by-step explanation:
Graph the line that passes through the points (-2,-1) and (-4,5) and determine the equation of the line
Answer:
y = -3x-7Step-by-step explanation:
Find the slope:
Going from (-4,5) to (-2,-1):
Rise = (-1 - 5) = -6
Run = (-2-(-4) = 2
Slope = Rise/Run = (-6/2) = -3
y = mx + b
y = -3x + b
Find b by using either given point. I'll use (-2,-1)
y = -3x + b
-1 = -3(-2) + b
b = -7
See attachment.
---
y = -3x-7
What is the zero of the function?
1 cause the zero is where the line crosses at the x axis
1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft
What is the degree of polynomial?
With example!
Answer:
[tex]\boxed{\mathfrak{Question ~}}[/tex]
What is the degree of polynomial?
[tex]\large\boxed{\mathfrak{Answer}}[/tex]
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
[tex] {6x}^{4} + {2x}^{3} + 3[/tex]
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer:
The degree of a monomial is the sum of the exponents of all its variables.
Example 1:
The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .
Example 2:
The degree of the monomial 7x is 11 (since the power of x is 11 ).
Example 3:
The degree of the monomial 66 is 0 (constants have degree 0 ).
The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
If you want to learn more about expected value, you can read:
https://brainly.com/question/22097128
Answer:
-1/6
Step-by-step explanation:
how do u find the order of operations of 8×3+70÷7-7
c(1)=−20
c(n)=c(n−1)+10
Find the second term in the sequence.
Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
Question 10 Multiple Choice Worth 1 points)
(4.04 MC)
Which of the following is a linear function?
A) y=3x^2
B) y=1 /3x
C) y=x^3 +5
D) 2/3x = y-1
Please helppp
Select the correct answer.
Choose the name of the highlighted part of the figure.
O A.
vertex
B.
angle
Oc.
side
Plz help!!
The highlighted part of the triangle is an angle. It is on the inside of the triangle and formed by two sides coming together.
Hope this helps! :)
Answer:
Angle
Step-by-step explanation:
Vertices (plural for vertex) are basically the points of the triangle.
Angles are the amount of space between two line segments (typically measured in degrees)
Sides are line segments of a shape.
Therefore, B is right.
There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?
We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
Total = 16 + 3 + 2Total = 21If there are 112 more blue counters than white counters, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
Learn more on ratios here: https://brainly.com/question/2914376
I will give brainlyst
Answer:
SSS
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
SSS means Side Side Side and there are no angles here
Write the inequality that represents the solution set to the given inequality below.
−8≥x−2≥10
Group of answer choices
4≤x≤−5
−4≤x≤5
4≥x≥−5
−4≥x≥5
Answer:
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
Step-by-step explanation:
I can't match it to one of your solutions but I can explain this:
-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10
We can add 2 to each side to eliminate the -2 in the centre.
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
What is the domain of this graph?
The domain is the x values of where the dots are located.
A and E are -2
C is at 1
B and D are at 3
Answer: (-2,-2,1,3,3)
Answer:
(-2,1,3)
Step-by-step explanation:
coordinates are (-2,-4),(-2,3),(1,-1),(3,-1),(3,2)
all the points in x (domain) are -2,-2,1,3,3 which is just (-2,1,3)
basically points in x
Concern airplane flying at a cruising speed of 1/2 km in 1/24 of a minute.Compute the unit rate of the airplanes cruising speed in kilometers per minute
Answer:
12 km/minute
Step-by-step explanation:
In order to convert to kilometers per minute, we are given 1/2 of a kilometer per 1/24 of a minute. First, we must convert to 1 minute. We can multiply both sides by 24 to get 24/2 = 12 kilometers per minute. Since we now have it in kilometers per minute, we have the answer.
Answer:
12 km per min
Step-by-step explanation:
Five cans of cola cost $1.20. Find the cost of seven cans. Please help!
Answer:
1.20 divided by 5 is 0.24, so 1.20 plus 2 cans is 1.68
2x + 16 = 22x
Variables on both sides
answer: Subtract sixteen from both sides of the equation
2 +16 -16=22x -16
x = 4/5
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
1 inch : 50 miles
Step-by-step explanation:
550 miles / 11 inches = 50miles/inch
Every inch on the map represents 50 miles.
common factor of 36 and 48
Answer:
12
Step-by-step explanation:
how to tell if an equation is linear without graphing
Answer:
A linear equation has the greatest x power at 1.
If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.
What divided by 6 equals 0.41?
2.46
I think.
Because if you multiply 6 and 0.41 you get 2.46.
Answer:
2.46
Step-by-step explanation:
x/6=0.41
Multiply 6 on both sides and you get 2.46