Answer: £4.20
Each 2 of pencils is £4.20 multiply that by 3 your get 12.60, the notebook is the same price of 2 pencils so that must mean it is £4.20
4.20 x 4 = 16.80
3 £4.2 from the 6 pencils
and 1 £4.2 from the notebook
Hope this helps!
The required cost of a notebook would be an amount of £4.20.
What is the equation?The equation is defined as mathematical assertions that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that n is the cost of a notebook, p is the cost of a pencil, and b is the total bill.
We know that the notebook costs the same as two pencils, so we can write this as an equation:
n = 2 × p
We also know that Petra's bill is £16.80, so we can write this as an equation:
b = n + 6 × p
Substituting the first equation into the second equation, we get:
b = n + 6 × p
b = (2 × p) + 6 × p
b = 8 × p
We can now solve for p by dividing both sides of the equation by 8:
p = b / 8
p = £16.80 / 8
p = £2.10
Since the notebook costs the same as two pencils, we can now solve for n by substituting the value of p into the first equation:
n = 2 × p
n = 2 × £2.10
n = £4.20
Therefore, the cost of a notebook is £4.20.
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Answer:
I think B option is correct ..I m 95% sure
Answer:i
the correct option is A
First we have to convert the 3 whole 8 /33 into a fraction so the method to do that is 33*3 =99 and then 99 +8 = 107 .The denominator will remain the same so we get 107 /33.Now by dividing 107 by 33 we get 3.242424
The end points of cd are given.find the coordinates of the midpoint M. C(-4,7) and D(0,-3)
Answer:
M=(-2,2)
Step-by-step explanation:
Xm= -4 + 0/2 --> -4/2
Ym= 7 + -3/2 --> 4/2
If m = 3 and b = 6, what is the correct slope intercept equation?
a. y = 3 - 6.
b. y = 3x - 6.
c. y = 3x + 6.
d. y = 6x + 3.
Please help, image is attached! Thanks.
When something is bisected, it is cut into two equal halves.
We know that SV cut RST into two parts.
Those two parts are RSV and VST
RSV = 64 and VST = 64
RST = RSV + VST = 64 + 64 = 128
The correct answer should be 128
Answer:
I.128
Step-by-step explanation:
Since SV bisected angle RST, the angle is split in two by equal parts, therefore RSV + VST = RST
64 + 64= 128
128°= RST
What is 9 to the power of 3
Answer:
729
Step-by-step explanation:
Go on a calculator and do 9^3 and thats your answer!
Answer: 729
Step-by-step explanation: 9 x 9 = 81 So 81 x 9 = 729
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Find the coordinate of the midpoint of the segment formed by the given points: (7, 11) and (3, -5)
Answer:
[tex]MP = (5,3)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}) (\frac{y_1+y_2}{2} )\\MP= (\frac{7+3}{2}) (\frac{11+-5}{2} )\\MP= (\frac{10}{2}) (\frac{6}{2} )\\MP= (5,3)[/tex]
To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership
fee, plus $10 for each hour you use the facilities. a) The function f represents the
cost of playing soccer at Sun Oaks depending on how many hours you play. The
function g represents the cost if the hourly rate were halved. Write each
function. *
Given that:
Membership feet to play indoor soccer at the Sun Oaks Club = $100
Hourly rate = $10
To find:
The function f represents the cost of playing soccer at Sun Oaks.
Here, fixed cost is $100.
Let the number of hours of playing be t. So, total variable cost is $10t.
Total cost = Fixed cost + Variable cost
[tex]f(t)=100+10t[/tex]
So, the required function is [tex]f(t)=100+10t[/tex].
Now, if the hourly rate were halved. Then,
Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]
So, total variable cost is $5t and total cost function is
[tex]g(t)=100+5t[/tex]
So, the required function is [tex]g(t)=100+5t[/tex].
F(x)=(x-4)^2
evaluate -2
Answer:
does that mean x=-2? because if so then:
F(x)=36
Step-by-step explanation:
(-2-4)^2
-6^2
36
F(x)=36
(9^3)^2 Hurrrrryyyyyyyyyyyyyy
Answer: 531441
Step-by-step explanation:
What’s the answer 40=16-8r ?
Answer:
-3
Step-by-step explanation:
40=16-8r
Subtract 16 from both sides.
24=-8r
Now divide by -8
-3=r
Answer:
-3= r
Step-by-step explanation:
40= 16- 8r
subtract 16 from both sides
40-16= 16 - 16 -8r
24= -8r
divide both sides by -8
24/-8 = -8r/-8
-3= r
Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park
Answer:
(5,1)
Step-by-step explanation:
if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1
The required coordinate of the max location is (4, 3).
Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)
Thus, the required coordinate of the max location is (4, 3).
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100 is how many more times than 10
Answer:
10 times greater, because 10x10=100
Step-by-step explanation:
Convert this rate to feet per second. Round your answer to nearest tenth the average speed of a car on a stretch of the interstate is 70 miles per hour.
Answer:
102.66666667 feet/ seconds
Step-by-step explanation:
From the question, we are told to convert 70 miles per hour to feet per second.
Step 1
1 mile = 5280 feet
70 miles = x feet
Cross Multiply
1 mile × x feet = 5280 feet × 70 miles
x feet = 5280 feet × 70 miles
x feet = 369600 feet
Hence, 70 miles = 369600 feet
Step 2
We convert 369600 feet/ hour to feet per second
60 seconds = 1 minute
60 minutes = 1 hour
1 hour = 60 × 60
= 3600 seconds.
369600 feet/ 1 hour = 369600 feet/3600 seconds
= 102.66666667 feet/ seconds
Therefore, 70 miles per hour is equivalent to 102.66666667 feet/ seconds
Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
Answer:
80=x+y
Step-by-step explanation:
The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.
Answer:
x = -1/6, x = -0.16
Step-by-step explanation:
Factor the following polynomial completely. x²n - y²n
Answer:
(n)*(x+y)(x-y)
Step-by-step explanation:
First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).
Answer:
n(x+y)(x−y)
Step-by-step explanation:
1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them. So, you can take out the n. You get this: n(x^2-y^2)
2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power). To do this, you simply split the two apart and make sure to include the negative. You get this, the final answer:
n(x+y)(x-y)
3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.
Hope this helped! Feel free to ask any questions :)
There are 32 classmates that are going to the fair. Each ticket costs $19. What is the total amount the classmates spend for tickets? Use mental math.
Answer:
32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:
32
*19
-------
288
320
-------
608
Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:
32
*20
------
640
640
-32
-----
608
So, the answer is $608
Answer:
$608
Step-by-step explanation:
The answer is $608 because each ticket costs $19 and 32 students are going to the fair. Therefore, it's 32 x 19 = 608.
Hope this helps!
A boat sailing at a speed of 35 mph set to head due west encounters a wind blowing 15 mph due south. What is the approximate resulting speed of the boat?
Answer:
38.08mph
Step-by-step explanation:
The question tells us that the speed of
Speed of boat = 35mph
Wind blowing = 15mph
We have to use the pythagorean theorem in other to find the resulting speed.
So,
Speed² = 35² + 15²
Such that
Speed = √35² + 15²
Speed = sqr(1225 + 225)
Speed = sqr(1450)
Speed = 38.08
The approximate resulting speed of the boat is therefore 38.08mph
Find the coordinates of the midpoint of XY for X(-2,3) and T(-8,-9)
Answer:
Midpoint of XY = ( - 5, - 3)
Step-by-step explanation:
[tex]Midpoint \: of \: XY \\ = \bigg( \frac{ - 2 + ( - 8)}{2}, \: \frac{3 + ( - 9)}{2} \bigg) \\ = \bigg( \frac{ - 2 - 8}{2}, \: \frac{3 - 9}{2} \bigg)\\ = \bigg( \frac{ - 10}{2}, \: \frac{ - 6}{2} \bigg)\\ Midpoint \: of \: XY = ( - 5, \: - 3)[/tex]
Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26, find x.
Yeah
Answer: x = 16
Step-by-step explanation:
PQ = 26
PM = 1/2 PQ (M is midpoint of PQ)
PM= 1/2x + 5 = 1/2 * 26
or x = 2(13 - 5) = 16
The value of x is 16 units.
What is a midpoint of a line ?The midpoint of a line is the point which divide a given line in two equal parts.The formula for midpoint is Mₓ = (x₁ + x₂)/2 and Mₙ = (y₁ + y₂)/2.
(here y is replaced by n).
According to the given question Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26 and we have to find x.
As M is the midpoint of PQ with PM = 1/2x + 5 then MQ can also be represented by 1/2x + 5.
We know
PM + MQ = PQ
1/2x + 5 + 1/2x + 5 = 26.
x + 10 = 26.
x =16.
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-6 - (-6) +7+ (-4) + (-1)
What’s the answer of this?
13 pts !
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i just did the question on my test!
Find the volume of the triangular prism
Answer:
your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want
Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. Sort each statement into True or False.
Answer:
True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.
False- She has $3 left over.
Step-by-step explanation:
2 pounds of burgers for $3 each is $6
1 bag o bun equals $2
5 bags of chips for $4 each is $20
$20 + $6 +$2 = $28
She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.
Two lines are intersected by a third line.
Two horizontal parallel lines are intersected by a third line. The third line intersects the top line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. The third line intersects the bottom line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
If Angle2 Is-congruent-to Angle6, which must be true about Angle2?
Angle2 Is-congruent-to Angle5
Angle2 is complementary to Angle5.
mAngle2 = mAngle8
Angle2 is supplementary to Angle8.
Answer:
Angle2 is supplementary to Angle8.
If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8.
What are Congruent Angles?
This refers to the type of angle where two different angles are said to have equal measure on their corresponding sides.
With this in mind, we can see that based on the two horizontal parallel lines are intersected by a third line, there is a third line that intersects the top line and forms four angles.
Hence, if If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8 because the sum of either angles is 180 degrees.
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Suppose A and B are points. How many distinct lines contain both A and B?
оо
1
2
3
infinitely many
Answer:
The correct option is;
1
Step-by-step explanation:
A line in geometry is an array of points that lay on the path of a ray and extends along the ray path in both directions infinitely, while a point in geometry marks a location
Therefore, given that the points A and B are on the same line, and are therefore on the same ray that gives the direction of the line, the number of distinct lines that can contain the both A and B, given that the original line extends to infinity in both direction is 1.
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If a + b = 10, and ab = 16, then find the value of the following: i .a2 + b2 ii. a3 – b3
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Red blood cells need iron. They store iron and typically contain more iron than the fluid around them does. Which
action would show the blood cells doing active transport?
O pushing iron out
O bringing iron in
O swelling
O shrinking
Answer:shrinking
Step-by-step explanation:
Answer:
bringing iron in
Step-by-step explanation:
hoped this helped let me know if it did
HELP ASAP PLEASE HELPPPPPPP PLEASE
Answer:
5 times 3
Step-by-step explanation:
you do 5 time 3. it is 15
how do u find the b in y=mx+b plz help
Answer:
b = y - mx
Step-by-step explanation:
Given
y = mx + b ( subtract mx from both sides )
y - mx = b