Answer:
£67.50
Step-by-step explanation:
On each metre of material, the shop makes a profit of ...
£6.90 -4.65 = £2.25
So, for 30 metres, the profit will total ...
30 × £2.25 = £67.50
A profit of £67.50 would be made on a 30-metre roll of material.
how do you solve for 5/6w = 2/3 (the answer is w= 4/5) I just don’t know how to show it.
Answer:
5/6w=2/3
5/6(4/5)=2/3
20/30=2/3
20/30=10/15=2/3=2/3
Proof:
5/6w=2/3
6/5*5/6w=2/3*6/5
30/30w=2/3*6/5
w=12/15=4/5
Hope this helps ;) ❤❤❤
3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)
Answer:
B) (-2, 5)
Step-by-step explanation:
Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.
Trying the points
A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14
B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true
C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14
D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2
__
Choice B ( -2, 5) is the only point that works in both equations.
Answer:
x = -2
y = 5
then:
B) (-2,5)
Step-by-step explanation:
3x + 4y = 14
x = 2y - 12
from te firs equation:
3x = 14 - 4y
x = (14-4y)/3
then:
2y - 12 = (14-4y)/3
3(2y-12) = 14 - 4y
3*2y + 3*-12 = 14 - 4y
6y - 36 = -4y + 14
6y + 4y = 14 + 36
10y = 50
y = 50/10
y = 5
from the second equation:
x = 2y - 12
x = 2*5 - 12
x = 10 - 12
x = -2
Check:
from the first equatión:
3x + 4y = 14
3*-2 + 4*5 = 14
-6 + 20 = 14
A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration
Answer:
acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]
Step-by-step explanation:
The acceleration is the change in velocity per unit of time.
Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:
[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]
so in this case the acceleration becomes:
[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]
simplify;a/2(a+b)+b/2(a-b)
Answer:
[tex]\huge\boxed{\sf \frac{a^2+b^2}{2(a^2-b^2)}}[/tex]
Step-by-step explanation:
=> [tex]\sf \frac{a}{2(a+b)} + \frac{b}{2(a-b)}[/tex]
LCM = 2(a+b)(a-b)
=> [tex]\sf \frac{a(a-b)+b(a+b)}{2(a+b)(a-b)}[/tex]
Simplifying further
=> [tex]\sf \frac{a^2-ab+ab+b^2}{2(a^2-b^2)}[/tex]
=> [tex]\sf \frac{a^2+b^2}{2(a^2-b^2)}[/tex]
[tex]\dfrac{a}{2(a+b)}+\dfrac{b}{2(a-b)}=\\\\\dfrac{a(a-b)}{2(a+b)(a-b)}+\dfrac{b(a+b)}{2(a+b)(a-b)}=\\\\\dfrac{a^2-ab}{2(a^2-b^2)}+\dfrac{ab+b^2}{2(a^2-b^2)}=\\\\\dfrac{a^2+b^2}{2(a^2-b^2)}[/tex]
Which fractions are equal to 0.375? Select all that apply. A.) 375/1000 B.) 75/200 C.) 15/4 D.) 3/8 E.) 375/100
Answer:
A.) 375/1000, B) 75/200, D.) 3/8
Step-by-step explanation:
A number can be represented in many forms depending on the situation, it can be represented in form of ratio, decimals, fraction e.t.c.
Given the number 0.375 which is in its decimal form, this number can also be represented in the form of a fraction.
[tex]a)0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}\\\\ b) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{5(75)}{5(200)} =\frac{75}{200} \\\\d) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{125(3)}{125(8)}=\frac{3}{8} \\[/tex]
A bikes shop has 11 red bikes, 3 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3_______
Answer:
[tex]\huge\boxed{Answer=>silver}[/tex]
Step-by-step explanation:
Information given:
1. 11 red bikes
2. 3 blue bikes
3. 4 orange bikes
4. 12 silver bikes
...........................................................
For every 1 orange bike, there are 3 ______
Note: there is 4 orange bikes.
(Denominator will be 4 since 4 orange bikes)
Red: [tex]11/4[/tex]
Blue: [tex]3/4[/tex]
(Don’t include orange)
Silver: [tex]12/4[/tex] (which equals 3)
We can’t divide any of the fractions accept for silver.
So the answer is silver. Hope this helps! ✨by: RobloxYt ✨
does anyone know how to solve 182 6/8 divided by 3 .
Answer:
Step-by-step explanation:
Convert 182 6/8 into improper fraction
[tex]182\frac{6}{8}=\frac{1462}{8}[/tex]
[tex]\frac{1462}{8}[/tex]÷ 3 =[tex]\frac{1462}{8}*\frac{1}{3}=\frac{1462}{24}[/tex]
= 60 22/24
The cost for an upcoming field trip is $30 per student. The cost of the field trip C. in dollars, is a function of the number of students x.
Select all the possible outputs for the function defined by
C(x)=30
a. 20
b. 30
c. 50
d. 90
e. 100
Answer: B and D
Step-by-step explanation: since it is $30 per student the total cost would have to be a multiple of 30
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!!! :)
Answer:
THE OTHER ANSWER IS WRONG
Step-by-step explanation:
90=20+6x-2
92=20+6x
72=6x
12=x
Hope this helps!
Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm35, start text, space, c, m, end text. What is the distance the hula hoop rolls in 444 full rotations?
Answer: 880 cm
Step-by-step explanation:
Given: Radius of the hula hoop = 35 cm
Hula hoop is circular in shape
Then, Circumference = [tex]2\pi r[/tex] , where r = radius
Now , Circumference of hula hoop = [tex]2\times \dfrac{22}{7}\times35=220\ cm[/tex]
Now , the distance the hula hoop rolls in 4 full rotations = 4 × (Circumference of hula hoop)
[tex]= 4 \times 220=880\ cm[/tex]
Hence, the required distance = 880 cm
Answer:
880
Step-by-step explanation:
What does it mean when a polynomial equation is in standard form?
All terms are on one side of the equation, and zero is on the other side.
It is in the form Ax+Bx=C.
The polynomial is in factored form.
All terms with a variable are on one side of the equation, and the constant is on the other side of the equation.
Answer:
Standard form is Ax + By = C
Step-by-step explanation:
Answer:
The standard form is Ax + Bx = C
pls help with sum geometry
YES! quite easily.
I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal
and then there's a pair of vertically opposite angle at centre.
that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA
Answer:
[tex]\Large \boxed{\mathrm{D}}[/tex]
Step-by-step explanation:
The triangles can be proven by AA or Angle-Angle similarity.
[tex]\angle QUR \cong \angle TUS[/tex]
The vertical angles are congruent.
[tex]\angle R \cong \angle S[/tex]
The alternate interior angles are congruent.
Need help please! Oh and the options are
A. 2/3
B. 1/5
C. 4/15
D. 2/7
Answer:
C. 4/15There are 15 spaces in total with 4 shaded columnsStep-by-step explanation:
Answer:
Hey there!
The answer would be C. 4/15.
4/5(1/3)=4/15
Let me know if this helps :)
Please help me I promise I will mark brainliest, I need an answer asap!!!!!!!! please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! f(x) = 3x + 9, g(x) = 5x^2 Find (f + g)(x). A). -5x^2 + 3x + 9 B). Quantity three x plus 9 divided by five x squared. C). 15x^3 + 45x D). 5x^2 + 3x + 9
Answer:
D
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
=3x + 9 + 5x²
=5x² + 3x + 9
If 2/3 inch on a map corresponds to an actual distance of 9 miles, what distance on the map will represent 21 miles?
Answer:
14/9 inches, or an inch and 5/9 of an inch.
Step-by-step explanation:
If 2/3 inch is the same as 9 miles, then x inches represents 21 miles. We can then set up a proportion.
[tex]\frac{\frac{2}{3} }{9} =\frac{x}{21}[/tex]
9 * x = (2/3) * 21
9x = 2 * 7
9x = 14
x = 14/9 inches.
Hope this helps!
Answer:
1 5/9 ich represent 21 miles
Step-by-step explanation:
Proportions:
2/3 inch ⇔ 9 miles
M inch ⇔ 21 miles
M = 21*(2/3) / 9
M = 14/9
14/9 = 9/9 + 5/9 = 1 + 5/9 = 1 5/9 inch
I also need to know this one pretty soon pleaseee
Answer:
128
Step-by-step explanation:
y=2/5x-12 is it liear or nolinear or both
Answer:
Step-by-step explanation:
y=2/5x-12 it is a linear equation in the form of y=mx+b
the best way to know is to graph the function
Which angle is coterminal to StartFraction 3 pi Over 4 EndFraction radians? Negative StartFraction 5 pi Over 4 EndFraction radians Negative StartFraction 3 pi Over 4 EndFraction radians StartFraction 5 pi Over 4 EndFraction radians StartFraction 7 pi over 4 EndFraction radians
Answer:
The co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] is [tex]-\frac{5\pi}{4}\ \text{radians}[/tex].
Step-by-step explanation:
The angle provided is, [tex]\frac{3\pi}{4}\ \text{radians}[/tex].
Convert the angle into degrees as follows:
[tex]\frac{3\pi}{4}\ \text{radians}=\frac{3\times180^{o}}{4}=135^{o}[/tex]
Co-terminal angles are those angles that share the same terminal and initial sides.
To find the co-terminal angle of a provided angle, we just need to add or subtract 360° or 2π to it.
Determine the co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] as follows:
[tex]\text{Co-terminal Angle}=\frac{3\pi}{4}+2\pi[/tex]
[tex]=\frac{3\pi+8\pi}{4}\\\\=\frac{11\pi}{4}[/tex]
[tex]\text{Co-terminal Angle}=\frac{3\pi}{4}-2\pi[/tex]
[tex]=\frac{3\pi-8\pi}{4}\\\\=-\frac{5\pi}{4}[/tex]
Thus, the co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] is [tex]-\frac{5\pi}{4}\ \text{radians}[/tex].
Answer:
Its A
Step-by-step explanation:
edge
If y is inversely proportional to x and y = 15 when x= 3 Find x when y = 5.
X=5
X=8
X=9
X=1
Answer:
answer is 1
Step-by-step explanation:
y∝x
y=kx
15=3k
divide 3 both sides
k=5
so y=5x
when y is 5
5=5×x
divide 5 both sides
x=1
Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlotte is 12 years old, find how much Ava and Charlotte will get.
Answer:
Ava's share = $20
Charlotte's share = $16
Step-by-step explanation:
15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36
27x = 36 : add x terms
x = 36 / 27 : divide both sides of equation by 27
x = 4 / 3
Ava's share = 15x = 15 * 4/3 = 20
Charlotte's share = 12x = 12 * 4/3 = 16
Hikes a location 27 meters above sea level. Brain hikes to a location 21 meters below sea level. Write an integer yo represent each hiker location with respect to sea level
Answer:
The number describing its location of Melissa to the sea-level is= 27
The number which would be the position of Brian to the sea-level is = -21
Step-by-step explanation:
The number may be negative, positive, or zero.
Let the sea level be 0.
They realize that the location of Melissa is 27 meters and above the sea-level, per the relevant information given throughout the exercise.
It also may assume that it's numerical representing its position becomes greater than zero throughout terms of sea-level (this means that it is positive).
It would then be= 27
The place of Brian is 21 m away from the sea.
The integer of its location is less than zero (negative), as regards the amount of the sea.
It is, therefore= -21
if Angie’s gross pay for 21.5 hours was $282.08, what was her pay per hour?
Answer:
$13.12 per hour
Step-by-step explanation:
Take the total pay and divide by the number of hours
$282.08/21.5 hours
$13.12 per hour
Answer:
Step-by-step explanation:
21.5 hours - $282.08
1 - ?
$282.08/21.5 = $13.12
A united states presidential coin is made from an alloy of 4 metals-copper, zinc, manganese, and nickel- with weights in the ratio of 177:12:7:4 respectively. The coin weighs a total of 8 grams. What is the weight of the zinc in this coin?
Answer:
0.32 grams
Step-by-step explanation:
ratio of weight of -copper, zinc, manganese, and nickel = 177:12:7:4
let the
weight of copper = 177x
weight of zinc = 12x
weight of manganese = 7x
weight of nickel = 4x
Total weight of this alloy in terms of x = 177x + 12x+ 7x + 4x = 300x
given weight of alloy = 8 grams
thus,
weight of this alloy in terms of x =given weight of alloy
300x = 8 grams
x = 8/300 grams =
weight of zinc = 12x = 12 * 8/300 grams = 96/300 grams = 0.32 grams
Find the point-slope equation for
the line that passes through the
points (7,-21) and (-4,23). Use
the first point in your equation.
y +[? ] = [ ](x + [ ])
Answer:
y+(21)=-4(x-7)
Step-by-step explanation:
the point slope equation , two point
m=y2-y1/x2-x1
m=23+21/-4-7=44/-11= -4
y+(21)=-4(x-7)
if m+n+p=10 and mn+np+mp=27,find the value of
m square + n square + p square
[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\m^2+n^2+p^2=10^2-2\cdot 27=100-54=46[/tex]
Find the slope and the y-intercept of the graph of the linear equation.
y=-7x+2
A) slope: - 1 y-intercept: 2
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7
Answer:
c) Slope;-7;y-intercept:2
Step-by-step explanation:
collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows. How many windows are there
Need Help Will Mark Brainlist
Answer:
21 windows
Step-by-step explanation:
collen family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: Let the number of window Collen father would paint be a while that of her mother be b. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father a = 2b
Let the number of windows that would be needed to be painted each by Colleen and her 2 brothers be c because they would paint the equal number of windows.
The total number of windows to be painted = 2b + b + c + c + c = 3b + 3c = 3(b + c).
Collen painted 7 windows as her mother and her own share which is one less than the fathers share. Therefore b + c = 7.
Also the fathers share a = 2b = 7 + 1 = 8 windows. Therefore b = 4 which is the mother share
Therefore the total number of windows = 3(b + c) = 3(7) = 21 windows
3b + 3c = 21
3(4) + 3c = 21
12 + 3c = 21
3c = 21 - 12
3c = 9
c = 3 which is collen and her brothers share
the slope of a line parallel to the given line 8x-2y=5
Answer:
4x
Step-by-step explanation:
8x-2y=5
8x=2y+5
8x-5=2y
4x-5/2=y
The slope of the parallel line would be 4x because the slope doesn't change. Hope this helps.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 31 31 beats per minute, the mean of the listed pulse rates is x overbar x equals = 71.0 71.0 beats per minute, and their standard deviation is s equals = 12.6 12.6 beats per minute.
Complete question is;
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 31 beats per minute, the mean of the listed pulse rates is x over bar equals 71.0 beats per minute, and their standard deviation is s equals 12.6 beats per minute.
a. What is the difference between the pulse rate of 31 beats per minute and the mean pulse rate of the females?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the pulse rate of 31 beats per minutes to a z score.
d. If we consider pulse rates that convert to z scores between minus 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 31 beats per minute significant?
Answer:
A) 40 beats per minute
B) 3.1746
C) z = -3.17
D) the pulse rate of 31 beats per minute is significantly low.
Step-by-step explanation:
A) The mean pulse rate is given as x bar = 71
Thus difference between this and pulse rate of 31 beats per minute is;
Difference = 71 - 31 = 40 beats per minute
B) number of standard deviations of the difference found in part a is given as;
number = difference/standard deviation(s)
number = 40/12.6
number = 3.1746
C) The z-score is calculated from;
z = (x - xbar)/s
z = (31 - 71)/12.6
z = -3.17
D) from the question we are told that the z scores between minus2 and 2 to be neither significantly low nor significantly high. However, we have a Z-score of -3.17 which doesn't fall into that range. Thus, the pulse rate of 31 beats per minute is significantly low.
Find the coefficient of third term of (2x−1)^6.
240
using pascals trianle
for the power 6 it is
1, 6,15,20, 15,6, 1
and for the third term (2x)^4 and (-1)^2
[tex]15 \times {(2x)}^{4} \times {( - 1)}^{2} [/tex]
[tex]240 {x}^{4} [/tex]
Since only the coefficient is needed
the answer is 240.
The required coefficient of third term is 480.
Coefficient of the third term of (2x−1)^6 to be determine.
Coefficient is defined as the integer present adjacent to the variable.
Here, (2x−1)^6
Using binomial expansion,
Third term = P(6,2)(2x)^6-2(-1)^2
= 6*5*16x^4
= 480x^4
Thus, the required coefficient of third term is 480.
Learn more about coefficient here:
https://brainly.com/question/2507029
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