Answer:
8.8
Step-by-step explanation:
Akhtar's bonus = 20% × £70 = £14
karl's bonus = 20% × £26 = £5.2
Difference = £14 - £5.2 = 8.8
**I'm not sure about the answer sorry, please get it checked.
PLEASE HELP WITH ALGEBRA HOMEWORK.WILL MARK BRAINLIEST
[tex] {36}^{2x + 5} = {216}^{x - 1} [/tex]
[tex] {6}^{2(2x + 5)} = {6}^{3(x - 1)} [/tex]
[tex] {6}^{(4x + 10)} = {6}^{(3x - 3)} [/tex]
Since bases i.e 6 are same exponents are equal
4x+10= 3x-3
4x-3x = -3-10
x= -13
Answer:
x = -13
Step-by-step explanation:
36 = 6^2
216 = 6^3
36^(2x + 5) = 6^(2)^(2x + 5)
When taking an exponent to an exponet: multiply the exponents
36^(2x + 5) = 6^(4x + 10)
216^(x - 1) = 6^(3)^(x - 1)
When taking an exponent to an exponet: multiply the exponents
216^(x - 1) = 6^(3x - 3)
-----------------------------
Therefor
6^(4x + 10) = 6^(3x - 3)
Since the bases are the same the exponents are equal
4x + 10 = 3x - 3
Subtract 3x from both sides
x + 10 = -3
subtract 10 from both sides
x = -13
in a system of equations why is the intersection the solution
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Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
Geometry, circles please help that'd be great.
Answer:
maybe the answer is 63cm...
Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.
Which equation can be used to find m, the midpoint of the two numbers?
(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99
Answer:
[tex]m {}^{2} - 100 = - 99[/tex]
Step-by-step explanation:
Set up the binomial.
[tex](m - 10)[/tex]
[tex](m + 10)[/tex]
Multiply the binomial.
[tex](m - 10)(m + 10) = - 99[/tex]
Apply difference of squares rule
[tex](p + q)(p - q) = p {}^{2} - q {}^{2} [/tex]
[tex]m {}^{2} - 100 = - 99[/tex]
Answer: m^2-100=-99
Step-by-step explanation:
Set up the binomial.
(m-10)
(m+10)
Multiply the binomial.
(m-10)(m+10)=-99
Apply difference of squares rule
(p+q)(p-q) = p2-q2
Answer: m^2-100=-99
a farmer employs 12 men to harvest his crops.they take 9 boys to do the job.if he had employed 8 men,how ling would it have taken.
Answer:
it needs more information
Write the point-slope form of the equation for a line that passes through (-1, 4) with a slope of 2.
The value of xt is
The value of yn is
The point-slope form of the equation is
Answer:
67 f
Step-by-step explanation:
A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50.
Which equation can be used to determine the number of miles, m, to the airport?
Answer:
13.50=1.50+.6x
Step-by-step explanation:
13.50=1.50+ .6x
12=.6x
20=x
The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total cost of the taxi be represented as y
Let the number of miles traveled be represented as m
Now , the total cost = $ 13.50
The number of miles = m miles
The initial cost of taxi = $ 1.50
The cost per mile = $ 0.60
So , the equation is 13.50 = 1.50 + 0.6m
Subtracting 1.50 , we get
12 = 0.6m
Divide by 0.6 , we get
m = 20 miles
Hence , the number of miles is 20 miles
To learn more about equations click :
https://brainly.com/question/19297665
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If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th
Answer:
91.8 feet^3
Step-by-step explanation:
We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).
Area of circle formula: pi x r^2
3.14 x 1.5^2 = 7.065
Now we can multiple it by the height and round to the nearest 10th.
7.065 x 13 = 91.845
91.845 -> 91.8
Hope this helps! Brainliest?
Answer:
Step-by-step explanation:
Givens
h = 13 feet
r = 1.5 feet
pi = 3.14
Equation
V = pi r^2 *h
V = 3.14 * 1.5^2 * 13
V = 91,8 cubic feet.
$6300 is invested, part of it at 11% and part of it at 6%. For a certain year, the total yield is $533.00. How much was invested at each rate?
$___ was invested at 11%
Answer:
Invested at 11% : 3100
Invested at 6% : 3200
Step-by-step explanation:
let x= amount invested at 11%
let y= amount invested at 6%
we can write
Equation 1: x+y=6300
Equation2: .11x+.06y=533
Divide equation 2 by .06 to get
1.8333333x+y=8883.33333333
Subtract equation 2 from equation 1
.8333333x= 2583.33333333
x= 3100
Plug in x= 3100 into equation 1
3100+y= 6300
y= 3200
An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation?
Answer:
7x+12y<350
Step-by-step explanation:
7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350
- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college
Answer:
-10
Step-by-step explanation:
See image below:)
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4/5x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -4/5 on both sides: x = 8 / -4/5Divide: x = -10Dave and Busters charges 2.50 per game in the arcade plus a one-time entrance fee of $10.
Which equation could be used to find the total.
A) y=2.50x
B) y=12.50x
C) y=2.50x + 10
D) y=2x-10
Answer:
C) y = 2.50x + 10
Step-by-step explanation:
Equation C is saying:
total cost = 2.50(number of games) + $10 entery fee
Hope this helps :)
A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar
How much oil should kin use?Complete the Table
Answer:
36 ounces.
Step-by-step explanation:
The ratio being 24:8 can be simplified to 3:1
Multiply the one (the vinegar) by a factor of 12
What happens to one side has to happen to the other
12(3:1)
36 ounces.
Answer:36
Step-by-step explanation:
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$
How much total interest is paid? (Round your answer to the nearest cent.)
$
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Answer:
monthly payment: $528.39interest paid: $3,703.40Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where the annual interest rate is r for t years on loan value P.
Filling in the given information, we find the monthly payment to be ...
A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39
The monthly payment is $528.39.
__
The total amount repaid is ...
($528.39/mo)(60 mo) = $31,703.40
The interest paid is the difference between this and the loan amount:
interest paid = $31,703.40 -28,000 = $3,703.40
The total interest paid is $3,703.40.
At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
Answer:
6 meters
Step-by-step explanation:
Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6
I’ll mark brainliest
Answer:
the answer is A
Step-by-step explanation:
the granpa bought 3 of the hoagie meals which means its 8×3 which is 24.
therefore he bought x of the burger meals. which means that it must be 6× X which means it is 6x.
lastly they ask for the total cost so you need to add the 24 to the 6x to get the total
Know how to rearrange formulae Question 1: Make y the subject of each of the following
(a) y + w = c
(b) y- p = m
C) m + y = s
(d) y - 2g = n
(e) 3y = c
(f) ay = w
(g) y/c =w
(h) y/a= 2c
(i) a = y + p
Someone please help me.
Answer:
y=c - w
y=m+p
y=n+2g
y=c/3
y=w/a
y=w×c
y=2c×a
y=a-p
Step-by-step explanation:
crossing the equality sign
- = +
+ = -
× = ÷
÷ = ×
hope this would help
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
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Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
10) -2(n - 6) = 20
please help!
Answer:
n = 1
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(n − 6) = 20
Step 1: Simplify both sides of the equation.
−2(n − 6) = 20
(−2)(n) + (−2)(−6) = 20(Distribute)
−2n + 12 = 20
Step 2: Subtract 12 from both sides.
−2n + 12 − 12 = 20 − 12
−2n = 8
Step 3: Divide both sides by -2.
[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]
n = -4
Hope this helps, please mark brainliest if possible. Have a great day.
A rectangular field is two times as long as it is wide. If the perimeter of the field is 390 feet, what are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is ______________ (Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field. The width of the field is _________ feet. The length of the field is _________ feet.
Answer:
2(2w) + 2(w) = 390
6w = 390
w = 65
2w or l = 130 feet
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
pls help for both 12 and 13!!
Answer:
The answer to 12 is 40 cubic units
Step-by-step explanation:
what is value? WRONG ANSWERS ONLYY
The temperature in Alaska was -12 degrees Fahrenheit.It then dropped 5 degrees overnight.what is the new temperature.
Answer:
-17 degrees Fahrenheit.
Step-by-step explanation:
-12 minus 5 is -17
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?
20%
6.7%
52%
32%
Answer:
52%
Step-by-step explanation:
There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.
13 / 25 = 0.52 or 52%
Please help!
Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions? O A. 0.032 . B. 0.072 O C. 0.095 O D. 0.055 SUBMIT
Answer:
[tex]\text{A. 0.032}[/tex]
Step-by-step explanation:
Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.
Formula:
[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.
What we're given:
[tex]P[/tex] of 0.1[tex]n[/tex] of 90Substituting given values, we get:
[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]
-2(y-4)=18 PLEASE HELPPPPPPP
Answer:
y = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-2(y - 4) = 18
Step 2: Solve for y
[Distributive Property] Distribute -2: -2y + 8 = 18[Subtraction Property of Equality] Subtract 8 on both sides: -2y = 10[Division Property of Equality] Divide -2 on both sides: y = -5Line segment CD is the altitude drawn to hypotenuse EF in right triangle ECF. If EC = 10 and EF = 24, then, to the nearest tenth, find ED.
Answer:
4.2 = ED
Step-by-step explanation:
C is the Right Angle.You will do yourself a great favor by drawing your own diagram. The easiest way to do this is to find CF first. Use the Pythagorean Theorem.The next step is to find the area of the triangles using EC * CF which you just found. Equate that to the hypotenuse * altitude(CD) to find CDThen use Pythagoras again to ED.Step One
Find FC. That is the only side of the right triangle that you don't know the value of.
EC^2 + FC^2 = EF^2EC = 20FC = ?EF= 24 This the Hypotenuse.10^2 + FC^2 = 24^2100 + FC^2 = 576 Subtract 100 from both sides.FC^2 = 576 - 100 Combine the right FC^2 = 476sqrt(FC^2) = sqrt(476)FC = 21.817Step Two
Find CD. Do this by finding the area two ways. (Key Step)Area = hypotenuse * altitude / 2Area = EC * CF / 2EC = 10CF = 21.817hypotenuse = 24altitude = y24*y / 2 = 10 * 21.817 /212 y = 218.17/212y = 109.085y = 109.085/12y = 9.0904Step Three
Find EDED^2 = 10^2 - y^2ED^2 = 100 - 9.0904^2ED^2 = 100 - 82.6357ED^2 = 17.36sqrt(ED^2) = sqrt(17.36)ED = 4.1671ED = 4.2find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism. Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]
[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]
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The demand function of a product is q = 7,000 - 50p, where p is the price.
The cost function is given by C = 2,000 + 259. At what price is the break-even
Production attend?
Answer: 139.65 or 25.34.
Step-by-step explanation:
The revenue function will be:
= Price × Quantity
= P × (7,000 - 50p)
= 7000p - 50p²
The coat function is given as:
C = 2,000 + 25q
C = 2000 + 25(7000 - 50p)
C = 2000 + 175000 - 1250p
C = 177000 - 1250p
Then, we'll equate the revenue function to the cost function. This will be:
7000p - 50p² = 177000 - 1250p
-50p² + 7000p + 1250p - 177000 = 0
-50p² + 8250p - 177000 = 0
Divide through by -50
p² - 165 + 3540 = 0
Solving to get the value of P will then give us 139.65 or 25.34.
