Answer:
6.75L of fuel are needed
Step-by-step explanation:
To solve this question we need to convert the miles to km and the gallons to liters in order to find the km/L that the car is doing:
km -1km = 0.621371miles-
449.6miles * (1km / 0.621371 miles) = 723.56km
L -1L = 0.264172gal-
12.9gal * (1L / 0.264172gal) = 48.83L
km/L:
723.56km / 48.83L= 14.82km/L
The liters the car takes to go 100km are:
100km * (1L / 14.82km) = 6.75L of fuel are needed
John had to pay a combined electric and gas bill $150. The electric portion of the bill was $90. What is the ratio of money spent on electric to that on gas?
Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,
[tex]90+x=150[/tex]
[tex]x=150-90[/tex]
[tex]x=60[/tex]
The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:
[tex]\text{Required Ratio}=\dfrac{\text{Electric bill}}{\text{Gas bill}}[/tex]
[tex]\text{Required Ratio}=\dfrac{90}{60}[/tex]
[tex]\text{Required Ratio}=\dfrac{3}{2}[/tex]
[tex]\text{Required Ratio}=3:2[/tex]
Therefore, the ratio of money spent on electric to that on gas is 3:2.
zeroes of polynomial p(x)=2x^2-9-3x are :
Answer:
x = - [tex]\frac{3}{2}[/tex], x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 3 = 0 ⇒ x = 3
Find the volume, in cm?, of a right circular cylinder with radius 10 cm and height 14 cm.
A. 9600x cm3
O
B. 19601 cm3
C. 14001 cm
D. 3501 cm
o
E. 140 cm
Andreas plays soccer video game he earns three stars for every goal he scores and loses 3/4 stars every time he misses the goal he scores five goals and Misses the goal four times how many stars does he have
Answer: 12 stars
Step-by-step explanation:
First find out the number of stars he gained by scoring goals:
= Number of goals scored * Stars if goal is scored
= 5 * 3
= 15 stars
Then find out the number of stars he is to lose by missing the goal:
= No. of goals missed * stars if goal missed
= 4 * 3/4 stars
= 3 stars
The total number of stars he has are:
= Stars gained - Stars lost
= 15 - 3
= 12 stars
What is the domain of the function y=3sqrtx-1?
-infinity
-1
0 less than or equal to x
1 less than of equal to x
Answer:
Step-by-step explanation:
What is the product of (3x - 4y) and (- 2x + 5y - 6)?
A.) - 6x? + 7xy - 18x – 20y? + 24y
B.) - 6x² + 23xy - 18x - 20y? + 24y
C.) 6x? + 23xy - 18x - 20y2 + 24y
D.) - 6x² + 23xy - 18x + 20y? - 24y
Answer:
The answer is option c
Step-by-step explanation:
Product means we have to multiply
[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]
You then group like terms
[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]
And there's your answer
Help plz..And No links!! I repeat No links!!
Answer:
38sq yards
Step-by-step explanation:
Separate it into parts
3x2 for the top section
8x4 for the bottom
6+32=38
SOMEONE PLEASE HELP ME! I NEED HELP BAD!
Answer:
gd
Step-by-step explanation:
line gd is congruent to kh
If Megan sells 22 cakes, then f(22) = 121?
I don't know what the question is but I'm pretty sure the answer is 5.5.
X = 5.5 or the price of each cake is 5.5$
g(x) = x4 − 4x2 + 7x − 8?
Answer:
to put in the value of any variable in this equation(for example 2 ) we will write it as
g(2) = 4(2) - 4(2)^2 + 7(2) -8
g(2) = 8 - 16 + 14 - 8
g(2) = -2
Step-by-step explanation:
Two lines are intersecting. What is the value of x? Enter your answer in the box. (x + 23) (2x + 4)° Help! Please!!!
Answer:
[tex]x = 51^o[/tex]
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
[tex]x + 23^o + 2x + 4^o = 180^o[/tex] --- angle on a straight line
Collect like terms
[tex]x + 2x = 180^o - 4^o - 23^o[/tex]
[tex]3x = 153^o[/tex]
Divide both sides by 3
[tex]x = 51^o[/tex]
1. Select all sets of measurements that could identify the length, width, and diagonal of a rectangle,
respectively.
A. 5 feet, 7 feet, 8 feet
B. 6 feet, 7 feet, 12 feet
C. 8 feet, 9 feet, 10 feet
D. 9 feet, 12 feet, 15 feet
E. 7 feet, 10 feet, 13 feet
F. 1.5 feet, 2 feet, 2.5 feet
Answer: TRY E
IF WRONG TRY E, D, F
Step-by-step explanation:
Solve for x. Assume that lines which appear tangent are tangent. X=
Answer:
x = 32
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+18) * 18 = 30^2
(x+18) * 18 = 900
Divide each side by 18
(x+18) * 18/18 = 900/18
(x+18) = 50
Subtract 18 from each side
x+18-18 = 50-18
x=32
Answer:
50
Step-by-step explanation:
tangent-secant theorem
What is this answer for 4/5 of 30?
Answer:
24
Step-by-step explanation:
4/5 of 30 = 4/5×30 = 24
___
Answer:
4/5 of 30 = 24
Step-by-step explanation:
4/5 x 30
4/1 x 6 = 24
At a sale this week, a Michael Kors bag is on sale for $258.40. This is a 62% discount off the original price. What is the original price.
Can someone help me?It's urgent and thank you!
The relationship between the number of pounds (lb) of cheese and the total
cost in dollars is shown in the graph. What is the unit price of cheese?
Answer:
6 dollars per lbs
Step-by-step explanation:
Take the y value and divide by the x value ( since the line goes through the point (0,0))
12 dollars/ 2 lbs
6 dollars per lbs
Which of the following options could represent a possible set of interior angles of a triangle? 45°, 105°, and 120° O 60°, 150° and 150° 15. 35 and 40 35. 65, and 80
Answer:
Divide the each part and get the circle 360 and triangle 180
Bilal goes for a cycle ride he starts at 3pm he finishes at 5:38pm he has a total of 25 min rest during the ride work out how long in hours and minutes he spends cycling
Answer: 2 hr and 13 min
Step-by-step explanation:
Given
Bilal starts at 3 PM and finishes at 5:38 PM
He took a rest of 25 min
Total time spent 2 hr and 38 min
time spend in cycling is given by
[tex]\Rightarrow 2\ hr\ 38\ min-25\ min\\\Rightarrow 2\ hr\ 13\ min\ or\\\Rightarrow 120\ min+13\ min=132\ min\ or\\\Rightarrow 2+0.21=2.21\ hr[/tex]
What is the completely factored form of
x4−16x4−16
Given that 1 pound = 16 ounces, convert 144 ounces to pounds.
OA. 25 pounds
ОВ.
11 pounds
OC.
9 pounds
OD. 72 pounds
Answer:
7 1/8 lbs
Step-by-step explanation:
144 ounces * 1 lbs/ 16 ounces
The ounces cancel
144/16 lbs
7 1/8 lbs
Fiona leaves $1600 in the bank for four years. It earns compound interest of 4% each year. Calculate the total amount Fiona has in the bank at the end of the four years
Answer:
A = $1,871.77
Step-by-step explanation:
A = P(1 + r/n)nt
Where,
A = Total money in the bank
P = principal = $1,600
r = interest rate = 4% = 0.04
n = number of periods = 1 year
t = time = 4 years
A = P(1 + r/n)^nt
A = 1,600(1 + 0.04/1)^1*4
A = 1,600(1 + 0.04)^4
= 1600(1.04)^4
= 1600(1.16985856)
= 1,871.773696
Approximately,
A = $1,871.77
MATH PROBLEM SOLVING
Answer:
Probability[Selected ball is a white ball without replacement (W)] = 5 / 22
Step-by-step explanation:
Given:
Number of white ball in jar = 5
Number of black ball in jar = 6
Find;
Probability[Selected ball is a white ball without replacement (W)]
Computation:
Probability of an event = Number of favorable outcomes / Total number of outcomes
Probability of 1st white ball = 5 / [5 + 6]
Probability of 1st white ball = 5 / 11
Probability of 2nd white ball [without replacement] = 5 / [11 - 1]
Probability of 2nd white ball [without replacement] = 5 / 10
Probability[Selected ball is a white ball without replacement (W)] = [5/11][5/10]
Probability[Selected ball is a white ball without replacement (W)] = 25 / 110
Probability[Selected ball is a white ball without replacement (W)] = 5 / 22
A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole number?
Answer:
6580 approx
Step-by-step explanation:
Given data
Population= 5000
Rate= 4%
Time = 7years
We are going to apply the compound interest formula
A=P(1+r)^t
substitute
A= 5000(1+0.04)^7
A= 5000(1.04)^7
A=5000*1.3159
A= 6579.5
Hence the population after 7 years is 6580 approx
2.) Write the probability as a fraction in simplest form. P (consonant) *
5 points
B
A
С
F.
D
E
1/6
2/3
Ο Ο Ο Ο
0.75
2
Answer:
2/3
Step-by-step explanation:
There are 6 different letters and 4 of them are consonants, so:
4/6 simplify it by 2:
2/3
of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?
Answer:
15
15
10
Step-by-step explanation:
3/8 x £40 = £15 for Sarah
3/8 x £40 = £15 for Fiona
2/8 x£40 = £10 for david
Answer:
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
Step-by-step explanation:
If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.
To find the amount each person gets we are goin to change the ratios of each person into fractions.
To turn to fraction add all portions in the ratio:
3 + 3 + 2 = 8 (this will be the denominator for all proportions.)
Therefore Sarah gets [tex]\frac{3}{8}[/tex], Fiona gets [tex]\frac{3}{8}[/tex] and David gets [tex]\frac{2}{8}[/tex].
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
What is the missing number that will complete the factorization?
Answer:
I don't know what the answer choices are because this question is used twice But if im guessing correctly you mean the one where the answer choices are 6, 8, 12, and 24. The Correct answer is 6
a2 + 8a + 12 = (a + 2)(a + )
The answer is 6
Step-by-step explanation:
WILL GIVE BRIANLINEST
MATH
Is it 81x^2 sq cm ?
Or 18x^2 sq cm
Or 81x sq cm
Or 18x sq cm
Answer:
81x^2 sq cm
Step-by-step explanation:
Area formula: length × width
Squares are the same size on all 4 sides, which means because 1 side is 9x cm, all other sides will also be 9x cm.
Area: 9x cm × 9x cm = 81x^2 cm^2
sq = ^2
What is the correct ratio of each rational root of the polynomial Function
Answer:
factor of 6 and 5
Step-by-step explanation:
Hola, alguien me puede resolver esta operación? a. Múltiplo de 5 y de 6 mayor que 95.000 ( _ 8 9 1 _ ) b. Divisible por 3, 4 y 5, menor que 4.675. ( 4 6 _ _ )
Answer:
a) 98,910
b) 4,620
Step-by-step explanation:
Recordar que un numero N es multiplo de A si N es divisible por A.
Entonces, decir:
Buscar N, tal que sea multiplo de A
es lo mismo que decir:
Buscar N, tal que sea divisible por A.
a) Queremos un múltiplo de 5 y de 6 mayor que 95.000
( _ 8 9 1 _ )
Sabemos que los múltiplos de 5 terminan en 0 o 5.
Y un número de 5 dígitos mayor que 95,000 requiere que el quinto digito en este caso sea 9, entonces tendremos:
98,91_
Para encontrar el dígito de las unidades, podemos probar remplazarlo por 0 y por 5, y luego dividirlo por 6.
Si el resultado es un número entero, entonces el número será un múltiplo de 6.
Probemos con 0, vamos a tener el número:
98,910
dividiéndolo por 6 obtenemos:
98,910/6 = 16,485
Entonces:
98,910 es más grande que 95,000
es múltiplo de 5 (porque termina en cero)
Y es múltiplo de 6, como acabamos de comprobar.
b) Ahora queremos un número divisible por 3, 4 y 5, que sea menor que 4,675
4,6__
De vuelta, como tiene que ser divisible por 5, sabemos que termina en 5 o 0.
Y como también tiene que ser divisible por 4, sabemos que tiene que terminar si o si en número par, entonces podemos concluir que solo puede terminar en 0.
Así, sabemos que el número va a ser algo como:
4,6_0
Ahora podemos probar con el dígito de las decenas, de tal forma que el número sea divisible por 3, 4 y 5.
Recordar que este número tiene que ser menor que 4,675
Entonces el número faltante puede ser:
0, 1, 2, 3, 4, 5, 6, 7
Ahora también podemos recordar que un número es solo divisible por 3 si la suma de todos sus dígitos es divisible por 3.
Entonces tenemos que tener que:
4 + 6 + x + 0 = múltiplo de 3
10 + x = múltiplo de 3
Los posibles valores de x van a ser:
x = 2 (porque 12 es múltiplo de 3)
x = 5 (porque 15 es múltiplo de 3)
Ok, ahora sabemos que el número restante solo puede ser 2 o 3.
Entonces tenemos que remplazar esos valores en el número y ver si este es divisible por 4 o no.
Comenzamos con el 2.
Tendremos el número:
4,620
Probamos dividiendo esto por 4:
4,620/4 = 1,155
El resultado es entero, entonces 4,620 es divisible por 4 (y por como lo creamos, también sabemos que es divisible por 3 y por 5, y además es menor que 4,675, como queríamos)