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3 years ago

Jess and Wes used to race each other when they were younger. Jess could cover 8

Mathematics

1 answer:

marshall27 [118]3 years ago

5 0

Answer:

160 meters

Step-by-step explanation:

Let call dj distance run by Jess and dw distance run by Wes

By Jess courtesy Wes will be 60 meters ahead of Jess

Let call t the time in which both runners are at the same point, which in fact is when both distances are equal

dj = 8 m/sec * t and dw = 60 + 5 m/sec * t

Then we make dj = dw

8*t = 60 + 5*t

3*t = 60

t = 20 sec

Now passed 20 sec dj = 8 * 20 = 160 m

and dw = 60 + 5*20 dw = 160 m

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The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. t

Zolol [24]

Side 1 = short side = 2x-3
side 2 = longer side = (short side) + 6 = (2x-3)+6 = 2x+3
side 3 = side 2 = 2x+3

Side 2 and side 3 are the longer two congruent sides

Add up the three sides and set them equal to the given perimeter of 33. Solve for x

(side1)+(side2)+(side3) = perimeter
(2x-3)+(2x+3)+(2x+3) = 33
(2x+2x+2x) + (-3+3+3) = 33
6x+3 = 33
6x+3-3 = 33-3
6x = 30
6x/6 = 30/6
x = 5

If x = 5, then the longer sides are 2*x+3 = 2*5+3 = 10+3 = 13 inches each
(note: the short side is 2*x-3=2*5-3=10-3 = 7 inches)

Answer: 13 inches

8 0

3 years ago

Which equation has infinite solutions?

AnnyKZ [126]

The equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

<h3>How to determine the equation?</h3>

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

Read more about equations at:

brainly.com/question/15349799

#SPJ1

<u>Complete question</u>

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

$\frac 13(6x - 3) = 3(x + 1) - x - 2$

5 0

2 years ago

In the triangle below,

Greeley [361]

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

cos 35 degrees = adjacent/hypontenuse

cos 35 = y/ 15

15( cos35 ) = y

y=12.287

=12.3

7 0

3 years ago

Suppose f'(7)=9 and g(7)= 5. <br> Find h'(7) where h(x) = 3f(x) + 2g(x) + 7<br><br> h'(7)=???

Ratling [72]

Answer:

The value of h'(7) = 44 .

Step-by-step explanation:

Given:

f'(7)=9 and g(7)= 5

We have to find : h'(7)

Also,

⇔ $h(x) = 3f(x) + 2g(x) + 7$ ...equation (i)

Plugging the value of 'x' = 7 in equation (i) the equation can be re-framed as:

⇔ $h(7) = 3f(7) + 2g(7) + 7$

Now plugging the value of f'=(7)=9 and g(7)=5 in the above equation:

⇔ $h(7) = 3(9) + 2(5) + 7$

⇔ $h(7)=27+10+7$

⇔ $h(7)=44$

So the value of h=(7) = 44 .

6 0

3 years ago

PLEASEE HELP I NEED THIS ASAP!!!!

Nadusha1986 [10]

Answer:

The second chart has a greater rate of change compared to the equation presented.

Step-by-step explanation:

The first equation has a rate of change of 6. While the chart has a rate of change of 7.

6 0

3 years ago