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Andrews [41]
2 years ago
13

Ronald needs a morning breakfast drink that will give him at least 390 calories. Orange juice has 130 calories in 8oz. How many

ounces does he need to drink to reach his calorie goal?
Mathematics
1 answer:
Nitella [24]2 years ago
5 0

Answer:

24 ounces of orange juice

Step-by-step explanation:

Given-

          Calories needed=390 calories

    Calories in 8oz juice=130 calorie

Therefore ounces of juice=(390/130)8

                                          =3 x 8

                                          =24 ounces

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Why does the equation y = 3x + 5 NOT represent a proportional relationship?
Step2247 [10]

Answer:

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or  

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

This is the equation of the line in slope intercept form

where

The given equation not represent a proportional relationship, because the line not pass through the origin

In a proportional relationship the value of b (y-intercept) is equal to zero

3 0
3 years ago
What is the equation of the circle that has its center at -26,120 and passed through the origin
OlgaM077 [116]

well, first off let's check those two points, we know it's centerd at (-26 , 120) and we also know it passes through (0 , 0), so the distance between those two points is its radius

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{-26}~,~\stackrel{y_2}{120})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~-26 - 0~~)^2 + (~~120 - 0~~)^2} \implies r=\sqrt{(-26)^2 + (120 )^2} \\\\\\ r=\sqrt{( -26 )^2 + ( 120 )^2} \implies r=\sqrt{ 676 + 14400 } \implies r=\sqrt{ 15076 } \\\\[-0.35em] ~\dotfill

\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-26}{h}~~,~~\underset{120}{k})}\qquad \stackrel{radius}{\underset{\sqrt{15076}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-26) ~~ )^2 ~~ + ~~ ( ~~ y-120 ~~ )^2~~ = ~~(\sqrt{15076})^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (x+26)^2+(y-120)^2 = 15076~\hfill

3 0
1 year ago
Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7 r = 7 and center at (-6, 4) r = 7
Blababa [14]

Answer:

center at (6, -4) r = √7

Step-by-step explanation:

(x – 6)^2 + (y + 4)^2 = 7

This is in the form

(x – h)^2 + (y - k)^2 = r^2

Where (h,k) is the center of the circle and r is the radius of the circle

Rearranging the equation to match this form

(x – 6)^2 + (y -- 4)^2 = sqrt(7) ^2

The center is at (6, -4) and the radius is the sqrt(7)

3 0
2 years ago
Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were t
eduard

Answer:

We are given the below data:

Sample Number              Sample Mean

1                                                 11.8

2                                                 12.5

3                                                 15.1

4                                                 14.3

5                                                 13.0  

6                                                 12.9

7                                                 10.2  

8                                                 11.5

9                                                 12.9

10                                                15.4

Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:

Mean = \frac{11.8+12.5+15.1+14.3+13.0+12.9+10.2+11.5+12.9+15.4}{10}

               =12.96

Therefore, the most likely mean of the population from which the samples were taken is 12.96

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