The local grocery store usually sells large bottles of water for $2.69 each. This week they have a promotion, 3 large bottles for $6.30. How much less is the cost of a large bottle this week with the promotion?

Answers

Answer 1

Answer:

$0.59

Step-by-step explanation:

We first find the unit rate of the large water bottles after the promotion. To do this we divide 6.3 by 3 to get 2.1. Then we want to subtract 2.69 by 2.1 to get our final answer, $0.59.

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Given x is an acute angle with sin(x)=1/3, find the value of cos (4x) .

Answers

Answer:

Step-by-step explanation:

Scores on a test are normally distributed with a mean of 77.4and a standard deviation of 5. Find the value of P75 (the 75th
percentile)

Answers

Hence, in answering the stated question, we may say that As a result, the expressions value of P75 is 80.375.

what is expression ?

In mathematics, you can multiply, divide, add, or subtract. An expression is formed as follows: Expression, number, and math operator Numbers, parameters, and functions make up a mathematical expression. It is possible to contrast phrases and expressions. Every mathematical statement that contains variables, numbers, and a mathematical action between them is referred to as an expression. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the provided equation, all separated by the mathematical sign +.

To determine the value of P75, or the 75th percentile, we must first determine the score at which 75% of the scores fall.

z = (x - μ) / σ

where x is the score to be converted, the mean, and the standard deviation.

As a result, we can write:

0.75 = P(Z ≤ 0.675)

where Z is the mean of the standard normal variable and the standard deviation is 1.

Now we can rearrange the z-score calculation to find the score x:

x = μ + zσ

Using the values we have:

x = 77.4 + (0.675)(5) (5)

x = 80.375

As a result, the value of P75 is 80.375.

To know more about expressions visit :-

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A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs to travel 550 miles.31 gallons of gas
121 gallons of gas
25 gallons of gas
115 gallons of gas

Answers

The van will need 25 gallons of gas for it to travel 550 miles. This is calculated by dividing 10 gallons to 220 miles to get the miles per gallons, which in this case is 22 miles per gallon. Then we have to divide 550 miles by 22 miles per gallon to get the total gas consumption, which is 25 gallons.

Answer:

Step-by-step explanation:

To calculate how many gallons the van needs to travel 550 miles you should multiply the number of miles by the relationship between the number of gallons of gas it needs to travel 220 miles, (it is important to put the quantity in miles on the denominator) as follows:

$550miles*(10gallons)/(220miles)=25$

Therefore the van needs 25 gallons of gas to travel 550 miles

A map of a new dog park shows that it is triangular and that the sides measure 18.5m, 36.9m, and 16.9m. Are the dimensions correct?

Answers

In order to check whether the length of the sides are applicable to form a triangle is that we have to make sure that the sum of the length of two side should be greater than the third side.

18.5 m, 36.9 m, and 16.9 m
18.5 m < 36.9 m +16.9 m
36.9 m < 18.5 m +16.9 m
16.9 m < 18.5 m + 36.9 m

So the dimensions are correct!

Write an equation for the line parallel to y = –2x – 5 that contains P(–8, 4).

Answers

$k:y=-2x-5\n\nl:y=mx+b\n\nk\ ||\ l\iff m=-2\n\nl:y=-2x+b;\ P(-8;\ 4)\n\n-2\cdot(-8)+b=4\n16+b=4\nb=4-16\nb=-12\n\nAnswer:y=-2x-12$

$k:\ y = -2x -5 \ \ \ and\ \ \ l:\ y=mx+b\n\nk\ ||\ l\ \ \ \Leftrightarrow\ \ \ m=-2\ \ \ l:\ y=-2x+b\n\n P(-8, 4)\ \in\ l\ \ \ \Leftrightarrow\ \ \ 4=-2\cdot(-8)+b\n\n\ \ \ \Leftrightarrow\ \ \ 4=16+b\ \ \ \Leftrightarrow\ \ \ b=-12\ \ \ \Rightarrow\ \ \ l:\ y=-2x-12$

A light private plane can fly 120 mph in still air. Flying against the wind, the plane can fly 320 miles in the same time it requires to fly 640 miles with the wind. Find the rate of the wind. A) 120 mph
B) 80 mph
C) 40 mph