9514 1404 393
Answer:
5 cups and 4 tbsp
Step-by-step explanation:
Double the quantity (2 c, 10 T) is ...
2 × (2 c, 10 T) = (4 c, 20 T)
A cup is equal to 16 tablespoons, so this quantity can be rewritten as ...
(5 c, 4 T)
Five cups and four tablespoons of flour are needed for the double recipe.
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
The probability that Stu buys a sandwich is 0.5.
The probability that Stu gets the bus is 0.7.
Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?
Answer:
probability that Stu buys a sandwich and gets the bus = 0.35
Step-by-step explanation:
Probability of success of two independent events is the product of the respective probabilities, i.e. the multiplication rule.
P(Sandwich) = P(S) = 0.5
P(Bus) = P(B) = 0.7
Assuming the events are independent,
probability that Stu buys a sandwich and gets the bus
= P(SB) = P(S)*P(B) = 0.5*0.7 = 0.35
Answer: 0.35
Step-by-step explanation:
First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich. Then, ignoring the other .5, there is a .7 chance that he makes the bus. Thus, 1/2 of .7 is 0.35.
Hope it helps <3
Find each difference.
(32mn2 + 50mn2) - (10mn2 - 16m2 + 64)
PLEASE HELP!!! ASAP!!!
Answer:
144mn + 32m - 64
:)
Step-by-step explanation:
Un taxi de la empresa “El rápido” se desplaza hacia el sur a una velocidad comprendida entre 60 km/h y 80 km/h. ¿Entre que valores oscila la distancia del auto al punto de partida al cabo de 5 horas
Answer:
Los valores entre los cuales oscila la distancia del automóvil después de 5 horas es entre 300 metros y 400 metros.
Step-by-step explanation:
Dado que la velocidad mínima del taxi = 60 km / h, la velocidad máxima del taxi = 80 km / h
Por lo tanto, tenemos la distancia mínima cubierta después de una hora = 60 km / h × 5 h = 300 m
La distancia máxima recorrida después de una hora = 80 km / h × 5 h = 400 m, lo que da el rango de variación de la distancia recorrida entre 300 my 400 metros.
Donde, la distancia cubierta = x, tenemos
300 metros ≤ x ≤ 400 metros.
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
How to solve the equation 4×3−15÷3×2+1
Answer:
3
Step-by-step explanation:
We use Order of Operations BPEMDAS.
Step 1: Multiply
12 - 15/3(2) + 1
Step 2: Divide
12 - 5(2) + 1
Step 3: Multiply
12 - 10 + 1
Step 4: Subtract
2 + 1
Step 5: Add
3
Answer: 3
Step-by-step explanation:
PEMDAS
P: No parenthesis
E: No exponents
M and D: 4x3 = 12(12-15÷3×2+1), 15÷3 = 5(12-5×2+1), 5*2 = 10(12-10+1)
A and S: 12-10 = 2(2+1), 2+1=3(3)
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
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).
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!
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]
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
How does the slope of g(x) compare to the slope of f(x)?
The slope of g(x) is the opposite of the slope of f(x).
The slope of g(x) is less than the slope of f(x).
The slape of g(x) is greater than the slope of f(x).
The slope of g(x) is equal to the slope of f(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.
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]
Pleaaaaase help!!!!
Answer:
see below
Step-by-step explanation:
sqrt(20)
sqrt(4*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(4) sqrt(5)
2 sqrt(5)
Answer:
We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].
Help fast will mark you the brainlest
Answer:
55°
Step-by-step explanation:
x°+35° is a right angle
so x°+35°= 90°
then : x° = 90°-35° = 55°
Answer: x = 20
Step-by-step explanation:
This problem makes use of Supplementary Angles. Supplementary Angles states that all angles that makes up a straight line are equal to 180. Thus, 125+35+x=180
First add
160+x=180
Then subtract
x=20
Hope it helps <3
Find m∠C. please help
Answer: 16.991°
Step-by-step explanation:
Used a triangle calculator hope this helped!
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;
https://brainly.com/question/15602982
Which could be the graph of f(x) = |x - h| + k if h and k are both positive? On a coordinate plane, an absolute value graph has a vertex at (2, 1). On a coordinate plane, an absolute value graph has a vertex at (1, negative 4). On a coordinate plane, an absolute value graph has a vertex at (negative 3, 2). On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 5).
Answer:
Step-by-step explanation:
f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive. Only
"On a coordinate plane, an absolute value graph has a vertex at (2, 1)" satisfies those requirements.
The vertex of an absolute function is the minimum or the maximum point of the graph
The graph that could be [tex]f(x) = |x - h| + k[/tex] is (a) an absolute value graph has a vertex at (2, 1)
The function is given as:
[tex]f(x) = |x - h| + k[/tex]
And the coordinates of the vertex (h,k) are said to be positive.
From the list of given options, only the first option has both coordinates of the vertex to be positive i.e. (2,1)
Hence, the graph that could be [tex]f(x) = |x - h| + k[/tex] is (a)
Read more about absolute value functions at:
brainly.com/question/2166748
Solve for F:
-3/4f =5/4
If your answer is wrong you're getting blocked
Answer:
f = -5/3
Step-by-step explanation:
-3/4f = 5/4
Multiply both sides by -4/3.
-3/4f × -4/3 = 5/4 × -4/3
f = -20/12
f = -5/3
Four buses were filled with children and 20 children rode in cars for a field trip. Write an expression for how many children went on the field trip A.4c B.20c C.4c+20 D.4b+20c
Answer:
C. 4c+20
Step-by-step explanation:
If 4 buses are filled with kids, to get how many kids there are in total you would have to multiply the number 4, to represent the buses, times the number of kids in 1 bus, represented by C in this case. Then you would add 20 kids to represent the number of kids traveling in cars.
With that you have 4c+20.
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:
Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x,y) to (x+4,y)
Answer:
The coordinates of r' are x = 10 and y = 12.
Step-by-step explanation:
The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:
Dilation with respect to origin
[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]
Translation
[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]
If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:
1) [tex](2,4)[/tex] Given.
2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.
3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.
4) [tex](6+4,12)[/tex] Translation.
5) [tex](10,12)[/tex] Vectorial sum. Result.
The coordinates of r' are x = 10 and y = 12.
Answer:
10,12 is the answer
Step-by-step explanation:
I just did it on a p e x
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
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula
Answer:
a. 1350
b. 4%
Step-by-step explanation:
here is the complete question :
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
V = 1350 x 1.04^t
Answer questions a & b
a - How much money did Toni invest in pounds
b - What rate of compound interest is paid each year
the formula for calculating compound interest is given by :
V = P (1 + r)^t
P = Present value -= amount invested = 1350
R = interest rate = 4%
N = number of years = t
i hope my answer helps you
The mean of 5,x,10,6,12 is 9. Find x
Answer:
12Solution,
Summation FX= 5+10+6+12+X
=33+x
N(total no.of items)=5
Now,
Mean= summation FX/N
or 9=33+X/5
or 9*5=33+X ( cross multiplication)
or 45=33+X
or -x=33-45
or -x=-12
X=12
Hope this helps...
Good luck on your assignment..
Answer:
x = 12
Step-by-step explanation:
The mean calculated by adding all the numbers of a set and dividing it by the total number of numbers. In this case, we have five numbers, but we do not know what the sum of all the numbers is because one of the numbers in under the pronumeral x. The find this out we need to work backwards. We know that when all the five numbers are added we should get 45 (it is 9 time 5 as there are five numbers in the set). The next step is to subtract 45 from the number that we known (i.e. 45 - 5 - 10 - 6 - 12). This comes to 12.
To double-check if you got the right answer you could add all five numbers include the 12 and divide it by 5 to see if the answer is 9.
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
Solve for x 8/11 = x/3
A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the water from a point B on the shore. Point B is 4 mi down shore from the power station at A. It costs $5000 per mile to lay the power line under water and $3000 per mile to lay the line underground. At what point S down shores from A between the cities?
Answer:
Given :
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Camila comprou um quilo de bolo de morango e dois quilos de bolo de chocalate por R$ 72,00 se o quilo do bolo de morango custa R$ 18,00 qual é o valor do quilo do bolo de chocolate?
Answer:
R$ 27,00
Step-by-step explanation:
R $ 72,00 = Um bolo de morango + dois quilos de bolo de chocalate
Um bolo de morango = R$ 18,00
R $ 72,00 = R$ 18,00 + Dois quilos de bolo de chocalate
Dois quilos de bolo de chocalate = R$72,00 - R$18,00
= R$54,00
Dois (2) quilos de bolo de chocalate = R$54,00
Um (1) quilo de bolo de chocalate = x
2x = R$ 54,00
x = R$ 54,00/2
x = R$ 27,00
Um quilo do bolo de chocolate = R$27,00