Answer:
Each batch of scones needed 0.67 kg of flour
Step-by-step explanation:
16.45 - 6.4 = 10.05kg (remaining)
15 batches = 10.05kg
1 batch = 0.67kg
A cube has all sides of equal length.
So let the side be x
that will be length = width = height = x
Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf. But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.
For each slice the dimensions are -
Length = x
height = x
width = 0.6
Volume of the original loaf is x³.
Volume of 5 slices is 5(x * x * 0.6).
Volume that is left after the cutting the slices is 235 inch³.
So, equation of the volume is=
x³ - 5(0.6x²) = 235
Solve for x using this equation.
x³ - 3x² = 235
x³ - 3x² - 235 = 0
Using a graph calculator to find the roots, we get
x = 7.35
Hence the dimensions of the original loaf is 7.35 inches for each side.
Please find attached the graph.
Pregunta completa:
Al llegar al hotel nos an dado un mapa con los lugares de la ciudad nos dijieron que 5 cm del mapa que representaban 600 metros de la realidad hoy queremos ir a un par que que se encuentra a 8 cm del hotel en el mapa. ¿A qué distancia del hotel está la pareja?
Respuesta: 960m
Explicación paso a paso:
Dado que:
5 cm en el mapa equivale a 600 m en tierra Por lo tanto,
8 cm en el mapa será equivalente a:
5 cm en el mapa - - - - - -> 600 m en el suelo 8cm - - - - - - -> y metros en el suelo
Usando la multiplicación cruzada
y × 5 = 8 × 600
5y = 4800 Luego,
y = 4800/5
y = 960m
Por lo tanto, 8 cm en el mapa serán 960 m en realidad.
Answer;
Sean got 24 points
Katie got 31 points
Kevin got 8 points
Emily got 12 points
Sorry I cannot give proper explanation because of typo issues.
Hope that can help.
Answer:
Check Explanation.
Step-by-step explanation:
The sample will be a representative of the entire build us in the city.
For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %
The uncertainty in the estimate is given in the form of standard error.
Standard error = √[(p(1-p)/n]
n = sample size = 35, p = 0.0857, 1 - p = 0.9143
Standard error of the sample = √(0.0857×0.9143/35) = 0.1616
In terms of the population, (0.1616/35) = 0.00462
Proportion of buildings with fire code violations = (8.57 ± 0.462) %
