Answer:
£0.465. It is a better value.
Step-by-step explanation:
If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;
6batteries = £2.79
1 battery = x
x = cost of a battery
6x = £2.79
x = £2.79/6
x = £0.465
Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.
The partial receipt below shows the money, in dollars, Ryan spent at an online clothing retailer.
PRODUCT
QTY
PRICE
TOTAL
Socks
3
2.00
6.00
V-Neck
2
8.00
16.00
Shorts
1
15.00
15.00
What does 8.00 mean in this situation?
Choose 1 answer:
Ryan bought 8.00 V-Necks,
The price of each V-Neck Ryan bought was 8.00 dollars.
Answer:
Option (B)
Step-by-step explanation:
Picture attached shows a table having 4 columns,
Column 1). Name of products
Column 2). Quantity of each item
Column 3). Unit price of each item.
Column 4). Total value of each item.
8.00 lies in the column (3) which represents the price of each V-neck Ryan bought.
Therefore, Option (B) will be the answer.
Answer:
B
Step-by-step explanation:
had this question also
Which of the following represents a rotation of triangle XYZ, which has vertices (-4,7), Y(6,2), and Z (3,-8) about the origin by 90 degrees? HELP PLS options: A: X (-7,-4) Y(6,-2) Z(-8,3) B: X(7,-4) Y(-2,6) Z (3,-8) C: X (-7,-4) Y(-2,6) Z (8,3) D: X(7,-4) Y (-2,6) Z (-3,8)
Answer:
The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).
Step-by-step explanation:
Each vertex can be represented as a vector with regard to origin.
[tex]\vec X = -4\cdot i + 7\cdot j[/tex], [tex]\vec Y = 6\cdot i + 2\cdot j[/tex] and [tex]\vec Z = 3\cdot i -8\cdot j[/tex].
The magnitudes and directions of each vector are, respectively:
X:
[tex]\|\vec X\| = \sqrt{(-4)^{2}+7^{2}}[/tex]
[tex]\|\vec X\| \approx 8.063[/tex]
[tex]\theta_{X} = \tan^{-1}\left(\frac{7}{-4} \right)[/tex]
[tex]\theta_{X} \approx 119.744^{\circ}[/tex]
Y:
[tex]\|\vec Y\| = \sqrt{6^{2}+2^{2}}[/tex]
[tex]\|\vec Y\| \approx 6.325[/tex]
[tex]\theta_{Y} = \tan^{-1}\left(\frac{2}{6} \right)[/tex]
[tex]\theta_{Y} \approx 18.435^{\circ}[/tex]
Z:
[tex]\|\vec Z\| = \sqrt{3^{2}+(-8)^{2}}[/tex]
[tex]\|\vec Z\| \approx 8.544[/tex]
[tex]\theta_{Z} = \tan^{-1}\left(\frac{-8}{3} \right)[/tex]
[tex]\theta_{Z} \approx 290.556^{\circ}[/tex]
Now, the rotation consist is changing the direction of each vector in [tex]\pm 90^{\circ}[/tex], which means the existence of two solutions. That is:
[tex]\vec p = r \cdot [\cos (\theta \pm 90^{\circ})\cdot i + \sin (\theta \pm 90^{\circ})\cdot j][/tex]
Where [tex]r[/tex] and [tex]\theta[/tex] are the magnitude and the original angle of the vector.
Solution I ([tex]+90^{\circ}[/tex])
[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}+90^{\circ})\cdot i + \sin (119.744^{\circ}+90^{\circ})\cdot j][/tex]
[tex]\vec p_{X} = -7\cdot i -4\cdot j[/tex]
[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}+90^{\circ})\cdot i+\sin(18.435^{\circ}+90^{\circ})\cdot j][/tex]
[tex]\vec p_{Y} = -2\cdot i +6\cdot j[/tex]
[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}+90^{\circ})\cdot i +\sin(290^{\circ}+90^{\circ})\cdot j][/tex]
[tex]\vec p_{Z} = 8.029\cdot i +2.922\cdot j[/tex]
Solution II ([tex]-90^{\circ}[/tex])
[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}-90^{\circ})\cdot i + \sin (119.744^{\circ}-90^{\circ})\cdot j][/tex]
[tex]\vec p_{X} = 7\cdot i +4\cdot j[/tex]
[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}-90^{\circ})\cdot i+\sin(18.435^{\circ}-90^{\circ})\cdot j][/tex]
[tex]\vec p_{Y} = 2\cdot i -6\cdot j[/tex]
[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}-90^{\circ})\cdot i +\sin(290^{\circ}-90^{\circ})\cdot j][/tex]
[tex]\vec p_{Z} = -8.029\cdot i -2.922\cdot j[/tex]
The rotated vertices are: i) X' = (-7,-4), Y' = (-2,6), Z'=(8.029, 2.922) or ii) X' = (7,4), Y' = (2,-6), Z' = (-8.029, -2.922). The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).
The graph below shows a line of best fit for data collected on the number of toys sold at a toy store since the opening of the store. Based on the line of best fit, how many toys were sold 13 days after the store opened?
A.) 195
B.) 260
C.) 325
D.) 130
The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195
Dawn is going scuba diving. Which situation would be modeled by a positive number?
Answer:
on the dive boat deck
Step-by-step explanation:
Answer:
the above is right
Step-by-step explanation:
Please help i will mark brainliest
Answer:
y=-6x+1
Step-by-step explanation:
A function is a relation where each input value is assigned to
Can someone help me plzzzzz
Answer:
C
Step-by-step explanation:
the area of a rectangular sandbox can be expressed as 72xy + 18x the width of the sandbox is 9x what is the perimeter of the sandbox
Answer:
18x +16y +4
Step-by-step explanation:
The area is the product of length and width, so the length is ...
A = LW
L = A/W = (72xy +18x)/(9x) = 8y +2
The perimeter is double the sum of length and width:
P = 2(L +W) = 2(8y +2 +9x)
P = 18x +16y +4 . . . . the perimeter of the sandbox
Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.
Answer:
p=50t
Step-by-step explanation:
The more pages Crystal has to read, the more time she spends reading.
Let p=number of pages read
t=time spent reading the number of pages
As t increases, p increases.
This is a direct proportion and we can write it as:
[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]
Substitution of k into p=tk gives:
p=50t
Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:
p=50t
The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general
form?
Oy - 1= 0
Ox-y+1 = 0
OX+ y - 1= 0
Answer:
y - 1 = 0.
Step-by-step explanation:
First off, we need to find the slope between the two points. That would be (1 - 1) / (2 - -2) = 0 / 4 = 0.
So, we would have an equation y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, we have y = 0x + b, or y = b.
If you examine the coordinates, y always equals 1. So, b = 1, and y = 1.
y = 1
y - 1 = 0.
Hope this helps!
NEED HELP ASAP!!!! I will reward you as the most brainliest!
Step-by-step explanation:
v = 1/3πr²h
1/3×314/100×4×4×7
11,722.666round off
11722.67
formula =v= 3.14×radius×radius ×height ×3
Step-by-step explanation:
pie×radius×squared ×7×3
=117.29
when we round it to the nearest hundredth
its=117.29m squared
Point Z is equidistant from the sides of ΔRST. Point Z is equidistant from the sides of triangle R S T. Lines are drawn from the point of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Which must be true? Line segment S Z is-congruent-to line segment T Z Line segment R Z is-congruent-to line segment B Z AngleCTZ Is-congruent-to AngleASZ AngleASZ Is-congruent-to AngleZSB
Answer:
AngleASZ Is-congruent-to AngleZSB
Step-by-step explanation:
The incenter of a triangle is a point inside a triangle that is equidistant from all the sides of a triangle. The incenter is the point formed by the intersection of all the three angles of the triangle bisected. The lines drawn from the incenter to the sides of the triangle forming right angles to the sides are congruent.
If Point Z is equidistant from the sides of ΔRST, point Z is the incenter of triangle RST. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. This lines are therefore congruent to each other, i.e. ZA = ZB = ZC.. Since the angles of the sides of the triangles are bisected to form the incenter, therefore:
AngleASZ Is-congruent-to AngleZSB
Answer:
AngleASZ Is-congruent-to AngleZSB
Step-by-step explanation:
D is the correct answer
ILL MARK YOU BRAINLIEST :))))) if you apply the changes below to the linear parent function, f(x)=|x|, what is the equation of the new function Shift 4 units left Shift 2 units up
Answer:
f(x) = |x + 4| + 2.
Step-by-step explanation:
When you shift the function to the left, the x-value changes, so you put the change within the absolute value. Also, within the absolute value, when you shift things to the right, you minus, and when you shift to the left, you add.
When you shift the function up, the y-value changes, so you put the changes outside of the absolute value. Shifting up means adding and shifting down means subtracting.
Hope this helps!
Solving Linear Systems by Substitution x+y=5 -3x+2y=5
Answer:
x=8.5
y=-3.5
Step-by-step explanation:
lets say x=5-y
substituting x in the other equation gives -3(5-y)+2y=5
-15+3+2y=5
2y=5+15-3
2y=17
y=8.5
from equation 1 : x+8.5=5
x=5-8.5
x=-3.5
Answer:
X=1y=4Please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment...
Answer this question
Answer: a.) (3x +1)(2x +3)
Step-by-step explanation:
The factors that work to get the middle term, 11x, are 3×3x = 9x and 1×2x=2x. 2x +9x = 11x
Work out the length of AB. Give your answer to 3 significant figures
Answer:
D = 9.80
Step-by-step explanation:
To find AB, we'll use the distance formula:
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(10-1)^2+(3-7)^2}[/tex]
D = [tex]\sqrt{(9)^2+(-4)^2}[/tex]
D = [tex]\sqrt{81+16}[/tex]
D = [tex]\sqrt{96}[/tex]
D = 9.80 (Upto 3 sfs)
In a game the average score was 60 time score was 5/2 of the average what was Tim’s score?
Answer:
in my own reasoning not sure if I am correct
Step-by-step explanation:
first it said Tim score was 5/2 of the of the average score
and the average score is 60
so that will be 5/2 × 60 which is
= 150
Work out x. Give reasons for your answer.
Answer:
The measurement for x is 80°
Step-by-step explanation:
In the picture, we see two parallel lines cut by a transversal line. Since the lines are cut by a transversal, then there are a few things we should know that can help us find the value of x.
Corresponding angles are congruent. Angles that are right beside each other (such as ∠CBD and ∠CBA) are a linear pair. This means that they have a total measurement of 180° when added together.Now that we know these things, we can use this information to find the measurement of ∠CBA. We do this by subtracting 100 from 180 because ∠CBA and ∠CBD are a linear pair. Once we know the measurement of this angle, then it will be much easier to find the value of x.
180 - 100 = 80
So, the measurement of ∠CBA is 80°. Now, ∠CBA and ∠x are corresponding angles so this means that they have the same measurements. If the measurement of ∠CBA is 80°, then the measurement of ∠x is also 80°
x = 80°
The world record for the largest collection of bookmarks is 71 235 bookmarks. Find the closest benchmark for each: a) in thousands _______________ b) in hundreds _______________ c) in tens _______________
Answer:
A: 71,235,000
B: 71,235,00
C: 71,240
Step-by-step explanation: Round by thousands, hundreds and tens.
If weight is an explanatory variable and cost is the corresponding response variable which of these would be represented by the y-axis on a scatterplot A. Weight B. Neither weight nor cost C. Both weight and cost D. Cost
Answer:
D. Cost
Step-by-step explanation:
In a scatter diagram we have that the x axis corresponds to the explanatory variable or also called the independent variable, since it is the value that is entered in the equation and does not depend on another.
While the y-axis corresponds to the response variable or also called the dependent variable since it is the value of the result of the equation
In this case, the explanatory variable is weight, that is, on the x-axis the weight would go and the cost is the response variable and would go on the y-axis, therefore, the answer is D. Cost
6. Trail Bike Rentals charges a $16 fixed fee plus $8 per hour for renting a bike. Matt paid $72
to rent a bike. How many hours did Matt use the bike? Write an equation to represent this
scenario and solve for the variable. (2 marks)
Answer:
[tex]C =8t+16\\7\ hours[/tex]
Step-by-step explanation:
Given that, Fixed charge = $16
Per hour charge for renting the bike = $8/hour
To find:
If Matt paid $72 to rent a bike, for how many hours did he rent the bike?
Solution:
Let 't' be the time for which Matt rents the bike.
1 hour charge for the bike rent = $8
't' hour charge for the bike rent = $8 [tex]\times t[/tex]
Total Charge for the bike = Charge for renting the bike for t hours + fixed charge
Let 'C' be the total charge, so the equation becomes:
[tex]C = 8t + 16[/tex]
Given that C is $72, we need to find t:
[tex]72 = 8t+16\\\Rightarrow 8t=72-16\\\Rightarrow 8t=56\\\Rightarrow t = 7\ hours[/tex]
So, he rented the bike for 7 hours.
The equation is: [tex]C = 8t + 16[/tex]
HELP MEEEEE PLEASEEEEE SOMEONE!!
Answer:
A
Step-by-step explanation:
the triangles share one angle and they have two equal sides
find the values of a and b such that x^2+2x+2=(x-a)^2+b
Answer:
a = -1
b = 1
Step-by-step explanation:
Step 1: Isolate x's
x² + 2x = -2
Step 2: Complete the Square
x² + 2x + 1 = -2 + 1
(x + 1)² = -1
Step 3: Move everything to 1 side
(x + 1)² + 1 = 0
And we have our answer.
Answer:
A=1 and b=1
Step-by-step explanation:
arcs and circles formula? can someone help me find the answer?
Answer:
9.2 cmHere,
The length of an arc of a sector with theta nag radius'r' is:
[tex] \frac{theta}{360} 2\pi \: r[/tex]
CD=?
Radius=7.9 cm
theta=66.4
Length of CD
[tex] \frac{66.4}{360} \times 2 \times \pi \times 7.9 \\ = \frac{66.4}{360} \times 2 \times 3.14 \times 7.9 \\ = 9.1506 \\ = 9.2 \: cm[/tex]
Hope this helps...
Good luck on your assignment..
노
+
Il
what is the circumference of a circle
with a radius of 14.7cm
C xd
7 car and so
22/7
3/7 x
Answer:
Circumference
(22÷7)×14.7×2 = 92.4cm
Is this function linear or nonlinear y=1/2x^{2}
will give brainliest
Answer:
nonlinear
Step-by-step explanation:
The word 'linear' means something having to do with a line. On a Cartesian Plane, a linear characteristic is a feature wherein the graph is a straight line. The line can cross in any direction, but it's always an instant line. A non-linear function has a shape that isn't an immediate line
The graph is nonlinear because it is not a straight line.
please mark me brainliest!
Answer:
Nonlinear.
Step-by-step explanation:
Since x is being squared, the equation is actually a parabola. The power of x has to be 1 for the function to be a linear function, so this equation is nonlinear.
Hope this helps!
11 POINTS !!GEOMETRY!! find the radius and area to the nearest hundredth given the circumference is 8.61. show work.
Step-by-step explanation:
C=2×pi×r
8.61=2pi*×r
8.61÷2pi=13.52 radius
A=pi×r^2
pi×13.52^2=574.25 area
3. 10 + (8 x 3) - 32
Answer:
[tex]2[/tex]
Step-by-step explanation:
In order to find the answer to this question use PEMDAS and solve.
[tex]10+(8\times3)-32[/tex]
P goes first:
[tex]8\times3=24[/tex]
[tex]10+24-32[/tex]
A goes next:
[tex]10+24=34[/tex]
S goes last:
[tex]34-32=2[/tex]
[tex]=2[/tex]
Hope this helps.
Answer:
2
Step-by-step explanation:
10 + (8 x 3) - 32
So I’m assuming the x represents multiplication
10 + (8*3) - 32
In Pemdas parenthesis is always first
(8*3)=24
10+24-32
Then addition
10+ 24=34
34-32=2
can someone please help
Answer: 57°
Step-by-step explanation:
Bisecting makes angle ZXY=ZXW. So 58+58=116.
Then solve. 2x+2=116.
2x=114
x=57
A line is defined by the equation 2x + 4y = -8. Determine the equation of
another line that will creare a linear system with
(a) no solution
(b) many solucions
(c) one solution
Answer:
so turn it into the other form:
2x+4y=-8
4y=-2x-8
y=-0.5-2
then:
a) y=-0.5x+44
b) y=-0.5x-2 (itself)
c) y=-55x-2 (they cut each other in (0,-2)