Answer:
see steps
Step-by-step explanation:
New price was increase from 100% to 109% at £1800.
By proportionality,
old price / 100% = 1800 / 109%
Cross multiply to get
old price = $1800 * 100% / 109% = £1651.38
which of the following fractions is closest to 5/8. 2/3, 13/20 or 11/16
A fraction is a way to describe a part of a whole. The fraction that is closest to 5/8 is 13/20.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Know the fraction that will be close to 5/8 can be found by taking the LCM of denominators. Therefore, the LCM of 8, 3, 20, and 16 is 240.
Thus, the fractions can be rewritten as,
5/8 = (5/8) × (30/30) = 150/240
2/3 = (2/3) × (80/80) = 160/240
13/20 = (13/20) × (12/12) = 156/240
11/16 = (11/16) × (15/15) = 165/240
Now as it can be seen that 156/240 is closest to 150/240, therefore, the fraction that is closest to 5/8 is 13/20.
Learn more about Fraction:
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Solve for x 8/11 = x/3
f(x)= -4x^2+10x-8 what is the value of the discriminant of f how many distinct real number zeros does f have
Answer:
Step-by-step explanation:
The function is f(x) = -4x²+10x-8
Let Δ be our the dicriminant
Δ= b²-4ac b = 10 a = -4 c = -8 Δ = 10²-4*(-4)(-8) Δ = 100-128Δ = -28The value of the discriminant is -28 and since it is negative this function has no real zeroes
Answer:
-28 for the first box and 0 for the second box.
Step-by-step explanation:
The distance from New York to Los Angeles is about 2820 miles. Each of Hannah steps measures about 2 feet long. Which is the best estimate of the number of steps Hannah would take if she walked from New York to Los Angeles? A) 30,000,000 B) 2,500,000 C) 15, 000,000 D) 7,500,000
Answer:
D
Step-by-step explanation:
convert miles to feet :
1 mile 5280 foot
2820*5280=14889600 ft
14889600/2=7444800 close to 7500000
D
Plz solve if you can. Show ur work. I will name Brainliest! (: I need help plzzzzzzzzzz, especially on the check your work part. plzzzzzz. ( You get 24 points plus Brainliest (: ) -X + 4 = -2X - 6 solve and check your work: 4R - 4 = 3R + 10 solve and check your work: 2Y - 3 = Y - 4 solve and check your work.
1) -x + 4 = -2x - 6
Add(2x)
x+4=-6
Subtract(4)
x = -10
Check your work
-(-10)+4=-2(-10) - 6
10+4=-2(-10) - 6
14=-2(-10)
14=20 - 6
14=14
Correct :)
2) 4R - 4 = 3R + 10
Add 4
4R=3R+14
Subtract 3R
R = 14
Check your work
4(14)-4=3(14)+10
56-4=3(14)+10
52=3(14)+10
52=42+10
52=52
Correct :)
3) 2Y - 3 = Y - 4
Add 3
2Y = Y - 1
Subtract Y
Y = -1
Check your work
2(-1)-3=-1-4
-2-3=-1-4
-5=-5
Correct :)
Hope it helps <3
Factorise x^2 + 10x + 16
Answer: [tex](x+2)(x+8)[/tex]
Step-by-step explanation:
1) First, we need to see which number multiplies to 16 and adds up to 10.
By looking at the factors of 16, we can see that only 2 and 8 will work.
2) Now, we need to arrange them in the factorized equation, which is always
(x+r)(x+q).
3) This will give us our final equation:
[tex](x+2)(x+8)[/tex]
If you want the roots, just do the negation of r and q and you will get it!
Translate the word problem below into an equation; then solve.
(e) 24. The royal physician failed to produce a cure for the prince's laziness (see practice
problem e), but the queen said she would still let the physician live if he could find a
cure for her husband's snoring instead. Now the physician is nervously combining a 10
ounce substance containing 6% cottonseed with another substance containing 12%
cottonseed to (hopefully) create a snore-suppressing substance with 8% cottonseed.
How many ounces of the 12% substance must he use?
Answer:
The amount of ounces, Y, of the 12% substance is 3.33 ounces
Step-by-step explanation:
The word problem has the task of discovering the required amount of the substance containing the 12% cottonseed required to create a snore suppressing substance with 8% cottonseed
Let the amount of the substance with 6% cottonseed in the 10 ounce substance be X and the amount of the substance with 12% cottonseed be Y
We have;
X×6% + Y×12% = 10 ounce × 8%
Which gives;
0.06×X + 0.12×Y = 0.08×10..........(1)
X + Y = 10.....................................(2)
Putting X = 10 - Y, we have;
0.06×(10 - Y) + 0.12×Y = 0.08×10
0.6 - 0.06·Y + 0.12·Y = 0.8
0.06·Y = 0.8 - 0.6 = 0.2
Y = 0.2/0.06 = 10/3 = 3.33 ounces
X = 10 - Y = 10 - 3.33 = 6.67 ounces
Therefore, the amount of ounces, Y, of the 12% substance = 3.33 ounces.
Answer:
The Answer is actaully 5
Step-by-step explanation:
❗️5 points❗️
state the slope of the line.
A. -2
B. 0
C. 1
D. undefined
Answer:
B. 0
Step-by-step explanation:
The slope of a straight horizontal line is always equal to 0.
To support the above statement, we can show working out:
m = slope of the line
m = ( y1 - y2 ) / ( x1 - x2 )
Two points on line = ( 0 , - 2 ) , ( 1 , - 2 )
y1 = - 2
y2 = - 2
x1 = 0
x2 = 1
m = [ ( - 2 ) - ( - 2 ) ] / [ ( 0 ) - ( 1 ) ]
m = ( - 2 + 2 ) / ( 0 - 1 )
m = 0 / - 1
m = 0
The y values on a horizontal line will always be the same. When calculating the subtraction of y values in the numerator of the formula for the slope of a line, a number subtracted by itself will always equal to 0. 0 divided by any number will always equal to 0. Hence, the slope of a straight horizontal line will always equal to 0.
Can someone help me with this question please..
Answer:
7200 cm^2
Step-by-step explanation:
The kitchen dimension on the drawing of 14 cm corresponds to an actual kitchen dimension of 40·14 = 560 cm.
The kitchen dimension on the drawing of 22 cm corresponds to an actual kitchen dimension of 40·22 = 880 cm.
The actual kitchen area is ...
Area = length · width = (880 cm)(560 cm) = 492,800 cm^2.
__
The difference between this area and the bedroom area is ...
500,000 cm^2 -492,800 cm^2 = 7200 cm^2
The kitchen is 7200 cm^2 smaller than the bedroom.
Kini and Duke are each workings during the summer to earn money in addition to their weekly allowance, and they are saving all of their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?
Answer:
6 hours
Step-by-step explanation:
Kini: 9h+8
Duke: 7.5h+17
9h+8=7.5h+17
8-17=7.5h-9h
-9=-1.5h
6=h
Hope this helps, BRAINLIEST would help me alot!
Answer:
7.3 hours
Step-by-step explanation:
9h+8=7.5+17
-9h -9h
8=1.5h+17
-17 -17
8=1.5h
1.5 1.5
7.3=h
Diane's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Diane $4.05 per pound, and type B coffee costs $5.55 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $735.00. How many pounds of type A coffee were used
Step-by-step explanation:
Type A cost 4.05 dollars per pound
Type B cost 5.55 dollars per pound
now...since type A is four times larger than Type B for that month,.the ratio will be 4:1 respectively
total cost was 735 dollars out of which Type A has
4/5 × 735 = 588 dollars while Type B has 1/5 × 735 = 147 dollars
so therefore ....number of pounds of A = 588/4.05=145.18pounds
and number of Pounds of B = 147/5.55= 26.48pounds
Drag each factor to the correct location on the image. If p(1) = 3, p(-4) = 8, p(5) = 0, p(7) = 9, p(-10) = 1, and p(-12) = 0, determine which expressions are factors of the polynomial p(x).
Answer:
Step-by-step explanation:
Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.
We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).
Answer:
Factor: x-5 & x+12
Not a Factor: x-1, x+4, x-7, x+10
Step-by-step explanation:
The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).
Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).
Rodrigo compro 1/5 de los pasteles que venden la señora carmen , carlos 1/10 y francisca 1/3 del total . El resto de los pasteles no se vencio . Que parte del total aun esta disponible?
Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".
Answer:
La parte del total que aún está disponible es [tex] \\ \frac{11}{30}[/tex].
Step-by-step explanation:
El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, [tex] \\ \frac{1}{5}[/tex], de la fracción del total que compró Carlos, [tex] \\ \frac{1}{10}[/tex], y de la fracción del total que compró Francisca, [tex] \\ \frac{1}{3}[/tex].
Numericamente hablando, Rodrigo, Carlos y Francisca compraron:
[tex] \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}[/tex] [1]
Del total de los pasteles que vende la Señora Carmen.
La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:
Podemos aplicar la propiedad asociativa para la suma, es decir, primero sumamos dos fracciones y el resultado lo sumamos a la fracción restante.Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:
Fracciones con denominadores diferentes
Si los denominadores de las fracciones son diferentes, los denominadores se multiplican. Este será el nuevo denominador para la suma de dos fracciones.Luego, cada denominador se multiplica con el numerador de la otra fracción. El resultado de cada multiplicación se suma y el total forma el nuevo numerador.Simplificar la fracción de ser posible, es decir, si el numerador y el denominador pueden dividirse por un mismo número, la división resultante para el numerador y el denominador formarán la nueva fracción. El número que simplifica la fracción a su "mínima expresión" es el máximo común divisor de ambos números.Fracciones con iguales denominadores
Se deja el mismo denominador y se suman los numeradores.Seguir el paso 3 del caso anterior para simplificar la fracción.De esta forma:
[tex] \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}[/tex]
Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:
[tex] \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}[/tex]
[tex] \\ (\frac{10+5}{50})+\frac{1}{3}[/tex]
[tex] \\ \frac{15}{50} + \frac{1}{3}[/tex]
Se divide el numerador y el denominador de la fracción [tex] \\ \frac{15}{50}[/tex] entre cinco (5):
[tex] \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}[/tex]
Resultando:
[tex] \\ (\frac{3}{10})+\frac{1}{3}[/tex]
Esta fracción se suma a la siguiente y se procede de igual manera:
[tex] \\ \frac{3}{10}+\frac{1}{3}[/tex]
[tex] \\ \frac{3*3+10*1}{10*3}[/tex]
[tex] \\ \frac{9+10}{30}[/tex]
[tex] \\ \frac{19}{30}[/tex]
El número 19 es primo, es decir, sólo lo puede dividir el 1 y el mismo número (19). El 30 no es divisible por 19, por lo tanto, la fracción queda expresada de esa manera.Tenemos entonces que:
El total de los pasteles vendidos fue la fracción [tex] \\ \frac{19}{30}[/tex].La parte que aún está disponible hay que restarla del total. El total es 1.De esta manera, la parte que aún está disponible es:
[tex] \\ 1 - \frac{19}{30}[/tex]
Podemos hacer [tex] \\ 1 = \frac{30}{30} = 1[/tex] (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):
[tex] \\ \frac{30}{30} - \frac{19}{30}[/tex]
[tex] \\ \frac{30 - 19}{30}[/tex]
[tex] \\ \frac{11}{30}[/tex]
El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.
Por lo tanto, la parte que aún está disponible es la fracción [tex] \\ \frac{11}{30}[/tex], la cual podría interpretarse como once (11) partes de las treinta (30), [tex] \\ \frac{11}{30}[/tex], que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.
What is the solution to this system of linear equations? 2x + y = 1 and 3x - y = -6
Answer:
(- 1, 3 )
Step-by-step explanation:
Given the 2 equations
2x + y = 1 → (1)
3x - y = - 6 → (2)
Adding the 2 equations term by term eliminates the y- term, that is
5x = - 5 ( divide both sides by 5 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(- 1) + y = 1
- 2 + y = 1 ( add 2 to both sides )
y = 3
Solution is (- 1, 3 )
Answer: (-1,-3) or A on the quiz
Got it right
Have a nice day
Urn A contains seven white balls and five black balls. Urn B contains four white balls and six black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was black given that the second ball drawn was black
Answer:
P(X/Y) = 0.4545
Step-by-step explanation:
Let's call X that the transferred ball is black, X' that the transferend ball is white and Y the event that the second ball drawn is black.
The probability that the transferred ball was black given that the second ball drawn was black is equal to:
P(X/Y) = P(X∩Y)/P(Y)
Where P(Y) = P(X∩Y) + P(X'∩Y)
Then, the probability P(X∩Y) that the transferred ball is black and the second ball drawn is black is equal to:
P(X∩Y) = (5/12)*(7/11) = 0.2651
Because the urn A has 12 balls and 5 of them are black, then if the transferred ball is black, the urn B will contain 11 balls and 7 of them will be black balls.
At the same way, the probability P(X'∩Y) that the transferred ball is white and the second ball drawn is black is equal to:
P(X'∩Y) = (7/12)*(6/11) = 0.3181
Because the urn A has 12 balls and 7 of them are white, then if the transferred ball is white, the urn B will contain 11 balls and 6 of them will be black balls.
So, P(Y) and P(X/Y) are equal to:
P(Y) = 0.2651 + 0.3181
P(Y) = 0.5832
P(X/Y) = 0.2651/0.5832
P(X/Y) = 0.4545
Find m∠C. please help
Answer: 16.991°
Step-by-step explanation:
Used a triangle calculator hope this helped!
Please help me with this math problem
Answer:
D. 36 miles
hope this helps :)
can someone please help me ASAP!
Answer:
D.
Step-by-step explanation:
x ={-1, 0, 2, 4, 7}
We see every x value only one time, so given pairs (x,y) is a function.
Answer is D.
Find the solution set.8x^2-2x=3 separate the two values with a comma.
Answer:
x = -1/2, 3/4
Step-by-step explanation:
Step 1: Isolate everything to 1 side
8x² - 2x - 3 = 0
Step 2: Factor
(4x - 3)(2x + 1) = 0
Step 3: Find roots
4x - 3 = 0
4x = 3
x = 3/4
2x + 1 = 0
2x = -1
x = -1/2
find the quotient the picture is the qestion
Answer:
A) 6/7
Step-by-step explanation:
Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7
1. What is the area of the figure below?
7 cm
18 cm
22 cm
O A 154 cm2
OC 459 cm2
OB 396 cm?
D 522 cm2
c. because when you di the math it adds up
lena works for 34 hours from monday to friday at her normal rate of pay ,on saturdays she gets an overtime rate of pay ,the overtime rate is 1.5 times her normal rate, she works for 4 hours on a saturday ,altogether lena earns £320 for her weeks work , what is her normal rate of pay per hour ???
Answer: £ 8
Step-by-step explanation:
Total hours Lena works from Monday to Friday = 34 hours
Hours she works on Saturdays = 4
Overtime rate of Saturday = 1.5 times her normal rate
Let x be the normal rate.
Then , Her total earning = [tex]34 x + 4 \times(1.5x) =34x+6x=40x[/tex]
Since her total earnings for week = £ 320
So,
[tex]320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8[/tex]
Thus, her normal rate of pay per hour = £ 8
If f(x) = 8x + 5, what is f(x)-1?
Answer:(x-5)/8
Step-by-step explanation:
f(x)=8x+5
let f(x)-1=y
y=8x+5
interchanging x and y
x=8y+5
y=(x-5)/8
Therfore f(x)-1=(x-5)/8
Answer:
x-5/8
Step-by-step explanation:
Plz help me solve these problems
Answer: CAN YOU PLS MARK AS BRAINLIEST??
a.x=11/4
b.x=6
c.x=21/2
d.x=0
Step-by-step explanation:
-2+3x+x=9-x
-2+3x+x=9
4x=9+2
4x=11
x=11/4
when you move a numerator to the other side it becomes a denominator
x+2=3/4x6
x+2=3/24
x=8-2
x=6
5-2x-12=14
2x=14-5+12
2x=21
x=21/2
1/2x=-3-1/2x+4-1
1/2x+1/2x=-3+4-1
x=0
The volume of a cube is 681472 cubic cm. Find the side of the cube.
Answer:
[tex]l = 88 cm[/tex]
Step-by-step explanation:
Volume of Cube = [tex]l*l*l[/tex]
Volume of Cube = [tex](Length)^3[/tex]
Where volume = 681472 cubic cm
=> [tex]l^3 = 681472[/tex]
Taking square root on both sides
=> [tex]l = \sqrt{681472}[/tex]
=> [tex]l = 88 cm[/tex]
What is value of x? Enter your answer in the box. x =
Answer:
Hope it helps
sorry fir bad camera view.....
Introduction to Linear Functions: Which table represents a linear function?
Answer:
The table in the top right
Step-by-step explanation:
That table represents the equation y=-2x-1. It is the only table that represents a linear equation.
To be a linear equation it has to consistently add the same amount up and right OR down and right (depending on if it's a positive or negative equation)
I have included a picture of the graph with the equation and all points on it (click/tap on it to see the full picture.)
If this helped please rate, thanks, and mark brainliest :)
The table which represents a linear function is one on the top-right corner.
What is linear function?A linear function is a mathematical relation which is characterized by a constant slope otherwise known as the rate of change of the function.
Upon evaluation of the slope of each table; only the top-right corner table has a constant slope.
slope, m = (-5-(-3))/(2-1)m = -2/1 = -2.Ultimately, a linear function is characterized by a constant slope as observed in the top-right corner table in discuss.
Read more on linear function;
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Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.
Answer:
6n^4-10n^2+10n
Step-by-step explanation:
4 n^4+2n^4-3n^2-7n^2+9n+n
6n^4-10n^2+10n
Answer:
[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]
Step-by-step explanation:
[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]
[tex]\sf Remove \ brackets.[/tex]
[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]6n^4- 10n^2 + 10n[/tex]
380 students in key stage 3. 240 students in key stage 4. 110 students in key stage 5. She needs a sample of 100 students stratified by key stage. Work out the number of students from key stage 3
Answer:
52
Step-by-step explanation:
Number of Students in Key Stage 3 =380
Number of Students in Key Stage 4 =240
Number of Students in Key Stage 5 =110
Total = 380+240+110=730
Since a sample of 100 students stratified by key stage is needed.
The number of students that would be taken from Key Stage 3
[tex]=\dfrac{380}{730}\times 100\\\\=52.1\\\approx 52 $ (to the nearest whole number)[/tex]
Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. Write an equation to represent this situation.
Answer: 5s -3 = s -3 + 24 5s -3 = s + 21
Step-by-step explanation:
Father f
Son s . present: f = 5s use this equation to substitute the equal value
3 years ago . f-3 = s-3 + 24
Substitute 5s for f in the second equation
5s -3 = s-3 + 24
works out as 5s -s = - 3 +3 + 24
4s = 24
4s/4 = 24/4
s = 6
The son's age is 6, The father is 30