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tigry1 [53]
3 years ago
7

Carmen is taking a road trip. After 25 miles, she reaches a stretch of highway where she can drive at a constant speed of 65 mil

es per hour. Carmen's friend in the passenger seat is trying to figure out the minimum number of hours Carmen will need to drive to reach over 350 total miles for the trip, assuming she keeps a steady pace. Carmen's friend creates the inequality 65t + 25 > 350, where t is the driving time, in hours. What statement is the most accurate?
Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

Answer: t > 5

Step-by-step explanation:

350 - 25 = 325

325 / 65 = 5

It said to reach over 350 miles, so it’s greater than 5

t > 5

Schach [20]3 years ago
6 0

Answer:

Carmen needs more than 5 hours to meet her goal.

Step-by-step explanation:

<em>65t + 25 > 350</em>

<em>65t > 325</em>

<em>t > 25 </em>

Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.

So, Carmen needs more than 5 hours to meet her goal.

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So
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3 years ago
If the diameter of a circle with a circumference of 19.5 inches is reduced by three, what would be the circumference of the new
Elanso [62]

It is given that the circumference of the circle is 19.5 inches. Let the diameter is d inches .

And the formula of circumference is

C= \pi d

Substituting the value of C, we will get

19.5= \pi d&#10;\\&#10;d = \frac{19.5}{ \pi}

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3 0
3 years ago
Read 2 more answers
[2x(3+5)+6]x4 what is the value of this expression
Gekata [30.6K]

Answer:

16x5+6x4

Step-by-step explanation:

(2x(3+5)+6)(x4)

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=(2x(3+5))(x4)+(6)(x4)

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3 years ago
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Jennifer has carpet in her square bedroom. She decides to also purchase carpet for her living room which is rectangular in shape
shtirl [24]

Answer/Step-by-step explanation:

Let's highlight the dimensions of the bedroom and living room using the information given in the question:

==>Squared Bedroom dimensions:

Side length = w = x ft

Area = x*x = x²

==>Rectangular living room dimensions:

width = side length of the squared bedroom = x

length = (x + 9) ft

Area = L*W = x*(x+9) = x² + 9x

Now let's match each given expression with what they represent:

==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"

As we have shown in the dimensions of the squared bedroom above.

==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room

==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"

i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.

==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".

i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x

7 0
3 years ago
A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much
astraxan [27]

Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

8.99x + 3.99y \leq 60 ;......[1]         where x, y are natural number.

x-intercept:

Substitute the value y= 0  in [1] and solve for x;

8.99x + 3.99(0) \leq 60

8.99x \leq 60

Simplify:

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Similarly.

For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

8.99(0) + 3.99y \leq 60

3.99y \leq 60

Simplify:

y \leq 15.037

y \leq 15

Therefore, we have

8.99x + 3.99y \leq 60 ;

2\leq x\leq 7 and  0\leq y\leq 15

8 0
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