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Setler [38]
2 years ago
11

A woman drives an SUV that gets 11 ​mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every​ week, they travel the sam

e number of miles. They want to improve their combined mpg. They have two options on how they can improve it.
Mathematics
1 answer:
SOVA2 [1]2 years ago
4 0

Answer:

The correct solution is "(45.5>39) \ mpg". A further explanation is provided below.

Step-by-step explanation:

The above query seems to be incomplete. Below is the attachment of the complete question is attached.

Given that,

For SUV,

= 11 ​(mpg)

For hybrid ghost,

= 65 mpg

Now,

<u>Option 1</u>:

After tuning, the mileage of SUV will be:

= 11+2

= 13 \ mpg

Average mileage will be:

= \frac{13+65}{2}

= \frac{78}{2}

= 39 \ mpg

<u>Option 2</u>:

Given:

Mileage of new hybrid,

= 80 mpg

Now,

Average mileage will be:

= \frac{11+80}{2}

= \frac{91}{2}

= 45.5 \ mpg

Thus we can say that the second option gives better mpg as compared to the first one.

i.e.,

⇒  (45.5>39) \ mpg

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At a university, 60​% of the students who apply. Of the students the university​ accepts, 25% actually enroll If 2000 students​
sweet-ann [11.9K]

Answer:

300 students are enrolled.

Step-by-step explanation:

As the university accepts 60% of the students who apply.

As 2000 students apply, it means that:

2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted

Out of these 1200, 25% enrolled

1200 × 25% ⇒ 1200 × 0.25 = 300 students are enrolled

Therefore, 300 students are enrolled.

5 0
3 years ago
What is the product? (9 t minus 4)(negative 9 t minus 4) negative 81 t squared minus 16 negative 81 t squared + 16 negative 81 t
liraira [26]

The product is negative 81 t squared + 16 ⇒ 2nd answer

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

  • Multiply (ax) by (cx) ⇒ 1st × 1st
  • Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
  • Add the two products ⇒ like terms
  • Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is  -81 t² + 16

Learn more:

You can learn more about the product of algebraic expressions in brainly.com/question/1617787

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
Find the equation of a line perpendicular to -x=4-y that passes through the point (-3,8)
Wewaii [24]

9514 1404 393

Answer:

  y = -x +5

Step-by-step explanation:

Solving the given equation for y, we have ...

  y = x +4

The slope of this line is the coefficient of x: 1. The slope of the perpendicular line will be the opposite reciprocal of this: -1/1 = -1. The y-intercept of the perpendicular line can be found from ...

  b = y -mx = 8 -(-1)(-3) = 5

The perpendicular line has equation ...

  y = -x +5

8 0
2 years ago
What is the vertex of the parabola y=2(x-3)^2+5 NEED ANSWER NOWWW
MArishka [77]

Answer:

(3,5)

Step-by-step explanation:

5 0
2 years ago
I need help on this plz i don’t understand the question
AnnZ [28]

We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )

For any circle the diameter is 2 times the radius,

d = 2r

Therefore r = d / 2, which gives us the following formula through substitution.

A = π(d / 2)² = πd² / 4

<u>Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.</u>

Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )

f(4) = π(4)² / 4 = 16π / 4 = 4π - <u>This makes the area of circle present with a diameter of 4 inches, 4π.</u>

3 0
2 years ago
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