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zaharov [31]
1 year ago
12

Javier uses 1/8 teaspoons of nutmeg for each loaf of banana bread he makes. How many loaves of banana bread can javier make with

4 teaspoons of nutmeg
Mathematics
2 answers:
Reil [10]1 year ago
8 0
If you have 1/8 in every loaf and 1 teaspoon of nutmeg is 8/8 and you have 4 of those think how much is 8/8 x 4.
jolli1 [7]1 year ago
6 0

Answer:  The number of loaves of  banana bread can Javier make with 4 teaspoons of nutmeg is 32.

Step-by-step explanation:  Given that Javier uses \frac{1}{8} teaspoons of nutmeg for each loaf of banana bread he makes.

We are to find the number of loaves of banana bread can Javier make with 4 teaspoons of nutmeg.

We will be using the UNITARY method to solve the given problem.

We have

Number of loaves of bread made by \frac{1}{8} teaspoons of nutmeg = 1.

So, number of loaves of bread made by 1 teaspoon of nutmeg will be

=\dfrac{1}{\frac{1}{8}}=8.

Therefore, the number of loaves of bread made by 4 teaspoon of nutmeg is given by

8\times4=32.

Thus, the number of loaves of  banana bread can Javier make with 4 teaspoons of nutmeg is 32.

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Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed
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Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour

So, distance between the two planes after one hour will be

Distance=\frac{Speed}{time}=\frac{230.65}{1}=230.65\ miles

So, the distance between them is 230.65 miles.

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2 years ago
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A train is traveling up slight grade with an angle of inclination of only 2 degrees. After traveling 1 mile, what is the vertica
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Tan 2° = x / 1 mile,   where x is the vertical change
0.03492 = x / 1 mile
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Answer: The vertical change is 184.38 feet 
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Gavyn rolls a fair dice 540 times.<br> How many times would Gavyn expect to roll a four?
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540 / 4 = 135 times.
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Three friends are playing catch. Zoe is in a straight path 12 feet to the west of alex. Jin is in a straight path 9feet to the n
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Answer:

15 ft

Step-by-step explanation:

This problem can be represented by a right angle triangle, shown in the diagram below.

The distance between Jin and Zoe is the hypotenuse of the triangle, x.

According to Pythagoras theorem,

hyp² = opp² + adj²

Where opp is the opposite side and adjacent is the adjacent side to any angle of consideration (which is not important in this case)

Hence:

x² = 12² + 9²

x² = 144 + 81

x² = 225

Finding the square root:

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2 years ago
Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73
marusya05 [52]

Complete question :

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

Answer: A.1.73

Step-by-step explanation:

Given the data:

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Difference betweenA and B (A - B) :

Xd = (A - B) = - 2.4, -0.3, 1.7, - 1.2, - 2.5

Sum of (A - B) = Σ Xd = (-2.4 + (-0.3) + 1.7 + (-1.2) + (-2.5) = - 4. 7

Md = ΣXd / n = - 4.7 / 5 = - 0.94

Xd - Md = (-2.4 + 0.94), (-0.3 + 0.94), (1.7 + 0.94), (-1.2 + 0.94), (-2.5 + 0.94)

(Xd - Md) = - 1.46, 0.64, 2.64, - 0.26, - 1.56

(Xd - Md)^2 = (-1.46)^2 + 0.64^2 + 2.64^2 + (-0.26)^2 + (-1.56)^2

Σ(Xd - Md)^2 = (2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336) = 12.012

Standard deviation = √[Σ(Xd - Md)^2 / (n-1)]

Standard deviation= √12.012 / 4

Standard deviation = 1.7329

Standard deviation= 1.73

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