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xenn [34]
3 years ago
10

Liam uses 2 quarts of yellow paint and adds 3 1/4 Jars of blue paint.Evan uses 1/2 quarts of yellow paint and adds 5 1/2 of red

paint.They end up with the same volume of paint.write an equation to show it.
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

2 + (13/4)x = 1/2 + (11/2)y

Step-by-step explanation:

Let each jar of paint used by Liam be x

Let each jar of paint used by Evan be y.

Liam uses 2 quarts of yellow paints and adds 3 1/4 jars of blue paint. so we have

2 + 3 1/4x

= 2 + (13/4)x

Since Evan also uses 1/2 quarts of yellow paints and add 5 1/2 jar of red paint, we have

1/2 + 5 1/2y

= 1/2 + (11/2)y

Since they end up with the same volume of paint, we have

2 + (13/4)x = 1/2 + (11/2)y

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Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
Sonbull [250]
Isiah is 5.83 miles away from his starting point.

When you draw the the miles Isaiah walks, you will discover that you are forming a right angle triangle.

To measure the length from the starting point to the ending point. We must used the Pythagorean equation. Where in the square of the hypotenuse is equal to the sum of squares of the other two sides.

a² + b² = c²

a = 3 miles                        3² + 5² = c²
b = 5 miles                        9  + 25 = c²
c = hypotenuse.                    34    = c²
 
We must get the hypotenuse, since 34 is the square of the hypotenuse we must look for its square root.

c² = 34
c = √34
c = 5.83 miles
7 0
3 years ago
5) Two machines M1, M2 are used to manufacture resistors with a design
Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that \mu = 1050, \sigma = 100

The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So

X = 1100

Z = \frac{X - \mu}{\sigma}

Z = \frac{1100 - 1050}{100}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915.

X = 900

Z = \frac{X - \mu}{\sigma}

Z = \frac{900 - 1050}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.6915 - 0.0668 = 0.6247.

M1 has a 62.47% probability of being in the desired range.

M2:

M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that \mu = 1000, \sigma = 120

X = 1100

Z = \frac{X - \mu}{\sigma}

Z = \frac{1100 - 1000}{120}

Z = 0.83

Z = 0.83 has a pvalue of 0.7967.

X = 900

Z = \frac{X - \mu}{\sigma}

Z = \frac{900 - 1000}{120}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033

0.7967 - 0.2033 = 0.5934

M2 has a 59.34% probability of being in the desired range.

Since M1 has the higher probability of being in the desired range, we choose M1.

8 0
3 years ago
Jamiah bought two 125 ounce bags of flour for baking. He used up 32 ounces of flour to bake a batch of brownies. How much flour
V125BC [204]

Answer: its 218

Step-by-step explanation: you just have to subtract 250 minus 32

7 0
1 year ago
On a 1616 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?
gregori [183]
4848 inches is how long the bike will be
5 0
3 years ago
What is the slope of the line shown in the graph? (4 points)
Korvikt [17]

Answer:

a. or \frac{3}{-2}

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

\frac{2-(-1)}{-3-(-1)}

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

\frac{3}{-2}

5 0
2 years ago
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