Answer:
$87.50
Step-by-step explanation:
If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.
(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)
Let's say Jill got the 1 portion, she gets $12.50.
Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50
The amount Alex got is £12.5.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Alex and Jill share £100 in a ratio of 1:7.
Total ratio = 8x
So,
Alex = 1x
Amount = 1x/8x x 100 = £12.5
Jill = 7x
Amount = 7x/8x x 100 = £87.5
Thus,
Alex got £12.5.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
Mila is a teacher and takes home 31 papers to grade over the weekend. She can grade at a rate of 8 papers per hour. Write a recursive sequence to represent how many papers Mila has remaining to grade after working for n hours.
6x - 5y = 70
7x + 2y = 66
Answer:
(10,-2) x=10 y=-2
Step-by-step explanation: I used substitution
=0.56x−0.25n=0.20x−0.03
m
=
0
.
56
x
-
0
.
25
n
=
0
.
20
x
-
0
.
03
Find the sum of m and n. Show all work of explain how you solved
Given:
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
To find:
The sum of m and n.
Solution:
We have,
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
The sum of m and n is:
[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]
Combining the like terms, we get
[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]
[tex]m+n=(0.76x)+(-0.28)[/tex]
[tex]m+n=0.76x-0.28[/tex]
Therefore, the sum of m and n is [tex]m+n=0.76x-0.28[/tex].
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answer:
2400
2640
360
Step-by-step explanation:
the retailer has to sell it for the same price as the dealer.
so, both mark it for 2400 sale price.
if a customer buys it at the retailer, the retailer makes the 15% discount he got from the dealer as profit.
2400 = 100%
1% = 2400/100 = 24
15% = 24×15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
the final price is then including 10% VAT
2400 = 100%
10% = 24×10 = 240
final price = SP + VAT = 2400 + 240 = 2640
the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?
Answer:
Sundeep will arrive in Barcelona at 12pm
Of the $77.84 direct-deposited from Problem 3, you have 50% placed into a savings account. How much is deposited in the saving account each month?
Answer:
38.92 dollars
Step-by-step explanation:
What is the surface area of this cone?
A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2
Answer:
I think it's C. cause I multipled 16 by 7
HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the same number of members. A brief description of David’s data is shown.
Music Club: This club has the same number of members older than 16 and younger than 16.
Physics Club: This club has the greatest number of older members.
Sports Club: This club has the greatest number of younger members.
History Club: This club has the oldest member enrolled.
David then made box plots showing his data. Match the labels of the clubs to the box plots. Drag and drop each club into the indicated rectangles.
Answer:
Music club last box
Reason: There are equal number if members
Physics club first box
Reason: There are more older than young people
Sports Club third box
Reason: There are more younger people than older people
History Club takes the second box
Step-by-step explanation:
Hope this helps please like and mark as brainliest
Find the value of L in the equation.
s=(n÷2)(a+L)
Answer:
2s/n-a=L
Step-by-step explanation:
So first we divide (n÷2) so it will be s/(n÷2) =a+L. Next we subtract L and get s/(n÷2)-a. That's not it yet, since 2 is being divided in the denominator, we have to reciprocal it meaning multiply, it to the top value. So it would 2s/n-a=L. But you can just leave it like that if you desire and your teacher doesn't mind.
given a rectangular has a length of 58.5 m and widht of 45 m. Draw a diagram with scake if givrn scale drawing is 1 cm:9m
Answer:
In picture
Step-by-step explanation:
Brainliest please
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Ty
Step-by-step explanation:
2. What is the slope of the line 2x + y = 8?
Answer:
Using the slope-intercept form, the slope is 2 .
The value of the expression when x equals 12/7 is..
Answer:
x = 82
Step-by-step explanation:
1/3(12/7 + 9/7) + 3⁴ =
1/3(21/7) + 3⁴ =
1/3(3) + 3⁴ =
1 + 81 = 82
The volume of the rectangular prism is how many cubic centimeters
Answer:
The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.
Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.
Base 72; percentage 12
Percentage 28; base 224
Base 20; percentage 40
Base 44; percentage 99
Percentage 126; base 8400
Answer:
The percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Step-by-step explanation:
To find the rate, or percent, for each of the following items, the following calculations must be performed:
1) Base 72; percentage 12 = 12/72 = 0.1666 x 100 = 16.6
2) Percentage 28; base 224 = 28/224 = 0.125 x 100 = 12.5
3) Base 20; percentage 40 = 40/20 = 2 x 100 = 200
4) Base 44; percentage 99 = 99/44 = 2.25 x 100 = 225
5) Percentage 126; base 8400 = 126/8400 = 0.015 x 100 = 1.5
Therefore, the percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Answer:
Step-by-step explanation:
what is the hcf of 11, 13 and 5
Answer:
1
Step-by-step explanation:
The factors of 5 are: 1, 5
The factors of 11 are: 1, 11
The factors of 13 are: 1, 13
Therefore the greatest/highest common factor is 1.
Help and explain pleaseeeeeeeeee
Answer:
if f(n) = 4n + 7 and g(n) = 2n + 3, find (g-f)(n)
-2n - 4
f(x) = 2x - 3 and g(x) = 5 - 2x, find f/g (x)
2x - 3 / 5 - 2x
Step-by-step explanation:
can you help me get the answer for this Q, please :)
Help pleaseee Thankyou so much!
Answer:
b = [tex]\frac{2A}{h}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( isolate b by dividing both sides by h )
[tex]\frac{2A}{h}[/tex] = b
4x-5y+2x+4+6+9y+7x+2
Answer:
[tex]13x+4y+12[/tex]
Step-by-step explanation:
Combine all the like terms & then solve:
[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]
[tex]13x+4y+12[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]
Combining like terms, we have
= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]
= [tex] \: 13x + 4y + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
I Need Help please can I borrow your time
[tex]\longrightarrow{\blue{ C. \: 2 {x}^{2} + 4x - 30 = 0 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{6}{x} = \frac{2x + 4}{5} [/tex]
[tex] \: 6 \times 5 = x \: (2x + 4)[/tex]
➺ [tex] \: 30 = 2 {x}^{2} + 4x[/tex]
➺ [tex] \: 2 {x}^{2} + 4x - 30 = 0[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Which answer can be used to find the solution to the system of equations?
Answer: is b
Step-by-step explanation:
in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your numerical answers without units in each blank.
Given:
AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.
To find:
The [tex]m\angle CAB[/tex] and [tex]m\angle CAD[/tex].
Solution:
AD is diameter of the circle. So, the measure of arc AD is 180 degrees.
[tex]m(arcADC)=m(arcAD)+m(arcDC)[/tex]
[tex]228^\circ=180^\circ+m(arcDC)[/tex]
[tex]228^\circ-180^\circ+=m(arcDC)[/tex]
[tex]48^\circ+=m(arcDC)[/tex]
The measure inscribed angle is half of the corresponding subtended arc.
[tex]m\angle CAD=\dfrac{1}{2}\times m(arcDC)[/tex]
[tex]m\angle CAD=\dfrac{1}{2}\times 48^\circ[/tex]
[tex]m\angle CAD=24^\circ[/tex]
AB is the tangent. So, [tex]m\angle BAD=90^\circ[/tex] because radius is perpendicular on the tangent and the point of tangency.
[tex]m\angle BAD=m\angle CAB+m\angle CAD[/tex]
[tex]90^\circ=m\angle CAB+24^\circ[/tex]
[tex]90^\circ -24^\circ=m\angle CAB[/tex]
[tex]66^\circ=m\angle CAB[/tex]
Therefore, [tex]m\angle CAB=66^\circ[/tex] and [tex]m\angle CAD=24^\circ[/tex].
Alana, a talk show host, invited The studio audience to voice their opinions on raising The driving age. Of the 10 audience members who chose to speak, seven of them were against the idea. Is this sample of the audience members likely to be biased. Yes or no please help fast !!!
Answer:
they might be since they could be like 16 and if it was raised they couldn't drive any more
Answer:
Yes, there is a high chance that this sample is biased since our pool of participants is not random.
Step-by-step explanation:
The population from which the talk show host drew is not representative of the entire country's population. Being a part of the live studio audience, these viewers are not considered a random sample and may be influenced by the opinions of the talk show due to response bias, specifically a desire to please bias.
Please help as soon as possible! Round your answers to one decimal place, if necessary. Find the mean and median of these data: 2, 5, 13, 15, 18, 20. tysmmm!
Answer:
Mean= 12.2
Median= 14
Step-by-step explanation:
The mean of the data can be calculated as follows
= 2+5+13+15+18+20/6
= 73/6
= 12.2
Mean= 12.2
The median can be calculated as follows
Arrange the numbers in an orderly way
2, 5, 13, 15, 18, 20
= 13+15/2
= 14
Median= 14
can someone answer fast please bc i have a test
Answer:
36 degrees
Step-by-step explanation:
Angles on a line equal 180
180-117=63
a=63
Angles in a triangle equal 180
180-(63+81)=36
b=36 degrees
Answer:
a=117(being straight line angle)
a=180-117
a=63ans
a+b+81=180(being the sum of the angle of triangle)
b+63+81=180
b+144=180
b=180-144
b=36ans
Help! Will mark brainliest!!!!
Answer:
(6x²+13x+6) ÷ (2x+3) sq in
Step-by-step explanation:
Volume = base × height
6x³+13x²+6x = (2x²+3x)h
Divide both sides by (2x²+3x)
(6x³+13x²+6x) ÷ (2x²+3x) = (2x²+3x)h ÷(2x²+3x)
By Factorization
x(6x²+13x+6) ÷ x(2x+3) = h
h= (6x²+13x+6) ÷ (2x+3)
Therefore the height of the prism is (6x²+13x+6) ÷ (2x+3) sq in
In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90
Answer:
(b) 360 degrees
Step-by-step explanation:
Required
The central angle
The central [tex]angle[/tex] of a circle is [tex]360^o[/tex]. This implies that the central [tex]angle[/tex]of the pie chart is also [tex]360^o[/tex], because a pie chart is always in [tex]form[/tex] of a [tex]circle.[/tex]
What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?
A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}
Is it D?
Answer:
A.{-2,3,1,5 } or D. {-2, -1, 0,5}
What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?
Answer: 340
Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.