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3 years ago

Which expression is equivalent to 5x + 3y - 2x? 3x 6x 3x + 3y 7x + 3y

Mathematics

2 answers:

barxatty [35]3 years ago

7 0

Answer:

3x+3y

Step-by-step explanation:

5x+3y-2x

=5x-2x+3y

=3x+3y

Tcecarenko [31]3 years ago

4 0

The answer to the question is:

3x + 3y

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What are the values of the three trigonometric ratios for angle L, in simplest form?

Stella [2.4K]

Answer: Sin L = $\frac{4}{5}$ and CosL= $\frac{3}{5}$ and Tan L= $\frac{4}{3}$

Step-by-Step Explanation:

Since we have given that

Consider, ΔLMN,

LM = 15

MN = 20

NL= 25

$\sin L=\frac{Perpendicular}{Hypotenuse}\\\\\sin L=\frac{20}{25}=\frac{4}{5}$

And,

$\cos L=\frac{Base}{Hypotenuse}\\\\\cos L=\frac{15}{25}=\frac{3}{5}$

And,

$\tan L=\frac{Perpendicular}{base}\\\\\tan L=\frac{20}{15}=\frac{4}{3}$

Hence,

Sin L = $\frac{4}{5}$ and CosL= $\frac{3}{5}$ and Tan L= $\frac{4}{3}$

5 0

3 years ago

Read 2 more answers

Maria uses 2 centimeters of tape for every present she wraps. Write an equation that shows the relationship between the number o

Marizza181 [45]

Answer:

y = 2x

Step-by-step explanation:

Maria uses 2 centimeters of tape for each present she wraps, and we want a equation that shows the relationship between the number of presents x and the tape used y. To do this, we can establish a rule of three with the information given:

1 present wrapped -> 2 centimeters of tape

x presents wrapped -> y centimeters of tape

1/x = 2/y

x = y/2 -> y = 2x

From this relation, we know that to make x presents, Maria will use 2x centimeters of tape.

6 0

3 years ago

Mathmerica Bank offers 2.1% interest compounded yearly

Scilla [17]

Answer:

Total = 2,500 (1.021)^t

Step-by-step explanation:

There is no question but the formula for compound interest is

Total = amount (1 + rate)^time

Total = 2,500 (1.021)^t

6 0

3 years ago

A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated th

Allisa [31]

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

7 0

3 years ago

The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7

hram777 [196]

We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77

We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%

6 0

3 years ago