Alfie has £10 note He buys 3 pens costing 1.45 each and some pencils costing 90p He gets 2.05 change. How many pencils did he buy?
Answer:
4 pencils
Step-by-step explanation:
Note= pencils costing 0. 90p
Given data
Balance= £10
pen= 3*1.45= £4.35
pencils=0.90p
change= £2.05
2.05= 10-4.35-90p
solve for p
2.05= 5.65-90p
collect like terms
5.65-2.05= 0.90p
3.6=90p
divide both sides by 90
p=3.6/0.90
p=4
Divide.Enter the quotient in simplest form
7/10 divided by 4/5
Answer:
7/8
Step-by-step explanation:
7/10 divided by 4/5 = 7/10 x 5/4 = 35/40 divided by 5/5 = 7/8
Please answer <3
❤️URGENT 20 EACH❤️ty
Answer:
x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
what are the expressions that are equivalent to 2x + 3x + 8 - 3x - 2
Answers that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression
CAN SOMEONE HELP ME PLS I GIBE BRAINLIST AND POINTS
Answer:
184.26
Step-by-step explanation:
28.275 + 60 + 96 = 184.26
Can someone solve this please: 54.69 rounded to the nearest integer
thank you <3
Answer:
55
Step-by-step explanation:
Lincoln has dimes and y quarters. He has no more than 24 coins worth at least $3.50 combined. Solve this system of inequalities graphically and determine one possible solution
Answer:
let's define:
x = number of dimes
y = number of quarters.
Then the total amount of money that he has is:
x*$0.10 + y*$0.25
Now we know that:
"He has no more than 24 coins"
Then:
x + y ≤ 24
"...worth at least $3.50 combined"
x*$0.10 + y*$0.25 ≥ $3.50
Then we have two inequalities:
x + y ≤ 24
x*$0.10 + y*$0.25 ≥ $3.50
To graph these, it is easier to write them as linear equations in the slope-intercept form.
Then we need to isolate the y-variable in both equations.
we will get:
y ≤ 24 - x
y ≥ $3.50/$0.25 - x*$0.10/$0.25
In the first equation we have:
"y is smaller or equal than the line"
Then this is graphed with a solid line, and we shade all the region below the line
For the second equation, we have the inverse case, then it will be graphed with a solid line and we need to shade all the region above the line.
The solutions for the system will be all these values that are in both shaded regions.
The graph can be seen below.
In the graph, we can see that one acceptable solution can be:
x = 5
y = 15
or
x = 6
y = 16
The only other restriction we should add is:
x ≥ 0
y ≥ 0
Because Lincoln can not have a negative number of coins, so we can only find solutions in the first quadrant.
Solve the equations:
5(x+2)-6(2-x)=x+10(x+1)
NEED HELP NOW!!! WILL MARK BRAINLEST!!!
Answer:
The equation is a contradiction: it has no solutions
Step-by-step explanation:
5(+2)−6(2−)=+10(+1)
5(x+2)−6(2−x)=x+10(x+1)5(x+2)-6(2-x)=x+10(x+1)5(x+2)−6(2−x)=x+10(x+1)
Solve
Distribute
5(+2)−6(2−)=+10(+1)
5+10−6(2−)=+10(+1)
Rearrange terms
Distribute
Subtract the numbers
Combine like terms
Distribute
Combine like terms
Add
2 to both sides of the equation
Simplify
Subtract 11 from both sides of the equation
Simplify
Result
0=12
Answer:
x = -11 (sorry if this is wrong)
Step-by-step explanation:
5(x+2)-6(2-x)=10(x+1)
5x +10 -12x + 6x = 10x + 10
-1x + 10 = 10x + 10
-10x -10x
-11x + 10 = 10
-10 -10
-11x = 0
---- ----
-11 -11
x = -11
Can someone help me with this paper?
Answer:
I'm bored ...............
Solve using the Zero Product Property. What is one solution for x? (x – 5) (x + 1) =0
the guesses I was given are
1. 0
2. 5
3. 1
4. 6
ILL MARK YOU EXTRA POINTS PLS HELP Point A is at (-1, -9) and point B is at (2, 4).
What is the midpoint of line segment AB?
Answer:
it's (1/2, -5/2)
Step-by-step explanation:
you can use the midpoint formula.
so do -1+2/2 , -9 +4/2 and then solve and you get the answer
Question 6(Multiple Choice Worth 4 points)
(05.07 MC)
The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated. What would this imply about the football team winning at home?
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be determined.
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.
The scatter plot would not be represented by a line of best fit with a positive slope. There is a weak correlation between the football team playing at home and winning.
There is no causation and almost no correlation between the football team playing at home and winning.
Answer:
The scatter plot would closely resemble a straight line with a positive slope, but causation cannot be determined.
Step-by-step explanation:
Recall that causation and correlation are 2 different things. Say Taller people usually had a name that started with the letter “A” It's a correlation, but a name does not determine the height, so it's not causation. (I took the test and got it right too.)
The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning would be imply about the football team winning at home.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.
If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
It also is the slope of the line of best fit.
The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win.
Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated.
The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
Learn more about straight line here:
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Work out the lengths of b of 17cm and 12cm pythagoras
Answer:
[tex]hypotenuse = \sqrt{ {17}^{2} + {12}^{2} } \\ = \sqrt{289 + 144 } \\ = \sqrt{433} [/tex]
As a mixed number in its simplest form :)
4 1/2 ÷ 3/5
Answer:7.5
Step-by-step explanation:
Answer:
7 1/2
Step-by-step explanation:
Find the value of each variable and the measure of each labeled angle (2x) (3x-42)
Step-by-step explanation:
Head opposite angles
2x= 3x-42
x= 42°
the angles are 84°
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.
(2x)° = (3x - 42)°
2x = 3x - 42
Subtract 2x from both sides of the equation and add 42 to both sides of the equation,
2x - 2x + 42 = 3x - 42 - 2x + 42
42 = 3x - 2x - 42 + 42
42 = x
Therefore, the value of x is 42. Now, the measure of each angle can be written as,
(2x)° = 2(42) = 84°
(3x - 42)° = 3(42) - 42 = 84°
Hence, the value of x is 42 and the measure of the two given angles is 84° each.
Learn more about Vertical Angles here:
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what can you tell about the mean of eachdistribution
Answer:
In a discrete probability distribution of a random variable X, the mean is equal to the sum over every possible value weighted by the probability of that value; that is, it is computed by taking the product of each possible value x of X and its probability p(x), and then adding all these products together, giving. .
Step-by-step explanation:
I really hope this helps have a wonderful day
what is the base if the height is 6ft and the area is 14 ft on a triangle
Answer:
b = 4.66666667
Step-by-step explanation:
The equation for finding the area of a triangle is
0.5b x h = a
b = base
h = height
a = area
So I calculated 14 divided by 6
And got 2.3333333
And since that number is half of the base, I multiplied it by 2
2.333 x 2 ≈ 4.66666667
Piece of Cake!
Solve this problem:
A cake has 79 slices.
Harry ate 47 slices; Jack ate 14 slices; Dave ate 10 &
Mary ate 8 slices.
What fraction of the cake is remaining?
Answer:
none/0
Step-by-step explanation:
they ate all the cake.
now harry is gonna get sick
Answer:
79/79 or 1
Step-by-step explanation:
47+14+10+8=79
If Harry, Jack, Dave, and Mary all ate 79 slices in total, then there would be no more cake left since there are only 79 slices. The fraction answer would be 79/79 or 1, because they 79/79 is equivalent to 1.
FOR 40 POINTS!!!!! PLEASE ANSWER THE QUESTION!!!!!!!! And i will mark you brainlist
Classify the deposit investment:
You want to put a $30,000 down payment on a storefront for a new business that you plan on opening in 5 years. How much should you deposit quarterly into an account with an interest rate of 1.23%, compounded quarterly?
Answer:
jayfeather friend me
Step-by-step explanation:
$203,904
What amount would you have if you deposited $1,800 a year for 30 years at 8 percent (compounded annually)? $1,800 113.28 = $203,904 (TVM Table-Page 41) 5.
Please help me. 25 points.
Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°
Answer:
Step-by-step explanation:
x=5
y=-5
Hence it lies in 4th quadrant.
x=r cos θ
5=r cos θ ...(1)
y=r sin θ
-5 =r sin θ ... (2)
square and add
(5)²+(-5)²=r²(sin ²θ +cos ²θ )
r²=25+25=50
r=±5√2
dividing
tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)
θ=135°,315°
so polar coordinates are (5√2,315°) and (-5√2,135°)
A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth per inch on the cutting blade how many teeth cross the cutting surface each second
Answer:
12565.11 teeth approximately cut cross the cutting surface per seconds.
Step-by-step explanation:
Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).
The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw
Number of teeth on saw = 12 x 10π = 120π.
To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.
So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33
Therefore, we have
33.33 x 120π ≈ 12565.11 teeth
Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).
She writes: Negative 3 a minus 4 b minus 2 (5 a minus 7 b) = negative 3 a minus 4 b minus 10 a + 14 b
Answer:
It's C
Distributive property
Step-by-step explanation:
a student has a 73% of being let out of class late. if he leaves class late. if he leaves class late, there is a 23% chance that he will miss his train. what is the probability that he gets out of class late and misses the train?
Answer:
16.79 %
Step-by-step explanation:
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Help me please! Thank you =D
Answer:
2A=A+A
Step-by-step explanation:
2A=A*A, not A+A
POSSIBLE POINTS: 6.67
0
Ross is working on a project for art class using a computer graphics program. Ross wants to
create a rectangular framework for the final graphic. The area to be enclosed by the
framework is represented by the expression 5x2 + 8x - 4. What expressions can be used to
represent the length and width of the rectangular framework?
Simplify the expression using properties of operations.
18t−3−5t+8
Answer:
13t+5
Step-by-step explanation:
i suck at fractions..............................
Whoever gives me the correct answer to this will get a brainlest
I need the answer ASAP!
Volume of cone= 1/3πr^2h
8842.24 m^3= 1/3πr^2h
1/3*3.14*33*r^2= 8842.24m^3
r^2 = 8842.24*3/3.14*33
r^2= 26526.72/103.62
r^2 = 256
r= √256
r= 16m
Hope it helps. Please mark brainliest.
i will mark you brainliest so please help help help!!!!
Answer:
28,000
Step-by-step explanation:
Answer:
28,000
Step-by-step explanation:
if u multiply 6,827 by 4 u get 27,303 and 208, 000 is way off so is 240, 000 24,000 is off by 3,303 and 28, 000 is off by 697. so it's 28,000.