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KonstantinChe [14]
2 years ago
7

Charlie needs to drive to Dallas which is 240 miles. If he drives 60 miles

Mathematics
1 answer:
Eduardwww [97]2 years ago
7 0

Answer:

4

Step-by-step explanation:

Since the question is asking how long will it take him if he has to drive 240 miles and he drives 60 mph, this can be interpreted as division.

Now that we have converted the words into math, we are really solving 240 ÷ 60 or \frac{240}{60}.

240 divided by 60 is the same as 24 divided by 6 because we can cancel the 0's.

Solving:

24 ÷ 6 = 4.

Thus, our answer is that it will take Charlie 4 hours to get to Dallas.

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Can you help me please ​
Olenka [21]

Answer:

log_372 = 3.8928

Step-by-step explanation:

Given

log_38 = 1.8928

Required

Evaluate log_372

We have:

log_372 = log_3(8 *9)

Apply law of logarithm

log_372 = log_38 +log_39

Express 9 as 3^2

log_372 = log_38 +log_33^2

Evaluate the exponents

log_372 = log_38 +2log_33

log_33 = 1.

So:

log_372 = log_38 + 2 * 1

log_372 = log_38 + 2

Substitute log_38 = 1.8928

log_372 = 1.8928 + 2

log_372 = 3.8928

5 0
2 years ago
Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong
zepelin [54]

Answer:

a) strong negative linear correlation.

b) Weak or no linear correlation.

c) strong positive linear correlation.

Step-by-step explanation:

The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.

Now back to the question:

a) Near -1: as we said before, this means an strong negative (-1) linear correlation.

b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)

c) Near 1: strong positive (close to +1) linear correlation

3 0
2 years ago
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart.
suter [353]

The distance are

a. 42.42

b. 15. 52

<h3>How to solve for the distance</h3>

80 = 65 + <ABC

<ABC = 80 - 65

= 15

Through the use of sine rule we would have

By using sine rule,

Sine 15/a = sine 135/b =

sin 30/30.

Next we have to solve b by cross multiplying

b = (30× sin135) / sin 30

= 21.21/0.5

b = 42.42 km

Also, the value of a will be:

= (42.42 × sin 15) / sin 135

= 10.98/0.7071

= 15.52

Read more on bearing here:

brainly.com/question/15221233

#SPJ1

3 0
1 year ago
Olivia and her children went into a grocery store where they sell peaches for $2 each and mangos for $1 each. Olivia has $15 to
Naddik [55]
Here is an example of how to do it⬇️

Set variables for the quantities we want to find.

Let x = number of apples
Let y = number of oranges


Next, we use these variables to write equations that describes the whole story.

Since the total price is $7.75 and each type of fruit has their own price, we can say

0.40x + 0.35y = 7.55


The other equation will represent the total number of fruits bought all together, as Mark mentioned. Once you have those equations, you solve the system using substitution and elimination methods to solve for the variables x and y.

(If x represents the number of peaches purchased and y represents the number of mangos purchased)

Sorry if this isn’t good explanation but I tried sorry goodluck!
8 0
2 years ago
Chase is comparing music subscription prices. A 12-month subscription with All Ears costs $91.80 and a 3-month subscription with
Tom [10]

Answer:

<h2><em>  press play   </em></h2>

Step-by-step explanation:

<em>1 year 91 dollars or three month 13 dollars so press play would end up at 52 a year and all ears ends up at 91 a year </em>

3 0
3 years ago
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