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damaskus [11]
3 years ago
14

The Guzman family lives 240 miles from Mexico City. If the Guzmans travel in

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

Answer:

4 hours

Step-by-step explanation:

To find the time it takes to travel the distance, divide the distance by the speed they are going.

(240 miles)/(60 miles per hour) = 4 hours

It will take them 4 hours.

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The ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?
Dominik [7]
The answer is:  " 2 :5 " ;  or, write as:  " 2/5 " . 
________________________________________________________
The ratio of 'girls' to 'all students' is:  "2: 5 " ;  or, write as:  " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given:  The ratio of boys to girls is:  " 3:2 " .  

Problem:  Find the ratio of "girls" to "all students:
________________________________________________________
Note:    This ratio of "boys to girls", which is " 3 : 2 " ; 
________________________________________________________
    →  can be expressed as " 3x: 2x"  ;  

in which the total number of students is:  " 3x + 2x " = 5x " .

   → The total number of students is represented as:  " 5x " .  
________________________________________________________
→  The ratio of "girls to boys" is:  "2x : 3x" .

→  {that is;  the "inverse" of the ratio of "boys to girls"} ;  
→  {that is;  the "inverse" of  " 3x: 2x" } ;  →  which is:  " 2x : 3x " .
________________________________________________________ 

The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ; 
                                             → Both "x" values cancel ;  {since: " x/x = 1 "} ; 
_________________________________________________________
       →  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " . 
_________________________________________________________
The ratio of 'girls' to 'all students' is:  " 2 :5 " ;  or, write as:  " 2/5 ".
_________________________________________________________
8 0
3 years ago
A marketing firm tracks data on grocery store visits. In one study, it finds that the probability that a shopper buys bread duri
timurjin [86]

Answer:

Option B.

Step-by-step explanation:

Two events are said to be independent of each other, if the probability of one event ocurrin in not way affects the probability of the other event occurring.

The interception of two independent events P(A ∩ B) = P(A) × P(B), where:

P(A) = 0.70

P(B) = 0.20

P(A ∩ B) = P(A) × P(B) = 0.70x0.20 = 0.14

The two events are independent if the probability of buying Bread AND cheese equals: 0.14, which is Option B.

7 0
3 years ago
Read 2 more answers
Find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0
kirill115 [55]

Answer:

x=  

6

9−  

285

​  

 

​  

=  

2

3

​  

−  

6

1

​  

 

285

​  

=−1.314

x=  

6

9+  

285

​  

 

​  

=  

2

3

​  

+  

6

1

​  

 

285

​  

=4.314

Step-by-step explanation:

8 0
3 years ago
Never mind no one will answer it
Vinil7 [7]
What
ask the question I will answer it
go ahead ask
5 0
3 years ago
Read 2 more answers
PLEASE TRY TO HELP I'M STRUGGLING
Anvisha [2.4K]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

7x+4y=3

4y = - 7x + 3

y = -7x/4 + 3/4

Comparing with the slope intercept form, slope = -7/4

If the line passing through the given point is perpendicular to the given line, it means that its slope is the negative reciprocal of the slope of the given line.

Therefore, the slope of the line passing through (6,-9) is 4/7

To determine the intercept, we would substitute m = 4/7, x = 6 and y = -9 into y = mx + c. It becomes

- 9 = 4/7×6 + c = 24/7 + c

c = - 9 - 24/7 = -87/7

The equation becomes

y = 4x/7 - 87/7

6 0
3 years ago
Read 2 more answers
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