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2 years ago

A car's speed is 80 2/3 miles in one hour. Going at the same speed, how far (in miles) will it travel in 2 1/4 hours?

Mathematics

1 answer:

hichkok12 [17]2 years ago

8 0

Answer:

181.5 miles

Step-by-step explanation:

80 2/3 m/hr * 2 1/4 hr = 181. 5 miles

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PLEAAASE ANSWER ILL GIVE BRAINLY conjunction or disjunction: −7 < x – 3 ≤ 6

natulia [17]

Answer:

−4<x≤9

Conjunction

Step-by-step explanation:

-7 < x -3

x -3 ≤ 6

-7 + 3 < ( x - 3) + 3

(x -3) + ≤ 6 + 3

-4 < x -3 + 3

x - 3 + 3 ≤ 9

-4 < x

x ≤ 9

x > -4

x ≤ 9

5 0

4 years ago

For which k are the roots of k(x2+1)=x2+3x–3 real and distinct?

Ugo [173]

Answer:

The solution for k is the interval (-3.5,1.5)

Step-by-step explanation:

we have

$k(x^{2}+1)=x^{2}+3x-3$

$kx^{2}+k=x^{2}+3x-3$

$x^{2}-kx^{2}+3x-3-k=0$

$}[1-k]x^{2}+3x-(3+k)=0$

we know that

If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions

The discriminant is equal to

$D=b^{2}-4ac$

In this problem we have

a=(1-k)

b=3

c=-(3+k)

substitute

$D=3^{2}-4(1-k)(-3-k)\\ \\D=9-4(-3-k+3k+k^{2})\\ \\D=9+12+4k-12k-4k^{2}\\ \\D=21-8k-4k^{2}$

$21-8k-4k^{2} > 0$

solve the quadratic equation by graphing

The solution for k is the interval (-3.5,1.5)

see the attached figure

7 0

3 years ago

James is 5 years younger than his sister. The sum of their ages is 25. Write a system of equation to model the situation. How ol

Sliva [168]

Answer:15

Step-by-step explanation:So Adam is 20 years old, and Neil is 5 years younger so is 20 - 5 = 15 years old. The ratio of Adam's age to Neil's age is 20:15, or 4:3.

4 0

4 years ago

A rectangle has an area of 30 square units and a perimeter of 34 meters.what are the dimensions of this rectangle

enyata [817]

$P=2L+2W$
$A=WL$

Therefore, if $P=34$ , and $A=30$ , then let us find the factors of 30 that could give a sum of half of the perimeter which is 34. Therefore:

$P=2*15+2*2$
$A=15*2$

$P=34$
$A=30$

Therefore, the dimensions of this rectangle are 15 and 2.

7 0

3 years ago

Which numbers are the extremes of the proportion shown below?

wolverine [178]

Answer:

A 3 and 8

Step-by-step explanation:

if a/b=c/d, the extremes are "a" and "d". The means would then be "b" and "c"

8 0

2 years ago