Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?

The older sibling will catch the younger sibling after ? second(s) and running ? feet.

Answer:

-15

Step-by-step explanation:

Answer:

x=19

Step-by-step explanation:

5(x+35)=9(300

5x+175=270

5x=270-175

5x=95

95/5=19X

Answer:

Statistica im pretty sure, i might be wrong tho, but if its right, cool

Step-by-step explanation:

Answer:

2nd option is the right answer

Answer:

Can you take a closer picture? I will put my answer in the comments if I can do it.

Answer:

False.

Step-by-step explanation:

A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)

Answer:

0.853

Step-by-step explanation:

These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)

Answer:

y=2x+0

Slope:  

2

y-intercept:  

( 0, 0 )

Step-by-step explanation:

Slope intercept form: y=mx+b

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Answer:

[tex]\huge\boxed{\sf x = 8a}[/tex]

Step-by-step explanation:

[tex]\sf \frac{3}{a} x - 4 = 20\\\\Add \ 4 \ to \ both \ sides\\\\\frac{3}{a} x = 20+4\\\\\frac{3}{a} x = 24\\\\Multiply \ both \ sides \ by \ a\\\\3x = 24 * a\\\\Divide \ 3 \ to \ both \ sides\\\\x = 24a / 3\\\\x = 8a\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

SAME AS THIS

Explanation:

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

Answer:

the sale price would be $78

Step-by-step explanation:

add up all the prices to get 120

35% taken off of 120 is 78

Answer:

Yes

Step-by-step explanation:

It is true because the equation would be 1 is less than or equal to 3-(-4)

Explanation: Just like any of your two-step equations,

in this inequality,  start by isolating the x term which in this

case is -3x by subtracting 5 from both sides.

That leaves you with -3x < -24.

To get x by itself, divide both sides by -3 but watch out.

When you multiply or divide both sides of an inequality by a

negative number, you must switch the direction of the inequality sign.

So we have x < 8 and put your final answer in

set notation and it look like this → {x: x < 8}.

Answer:

Area of gray region = [tex]8x^2+8x-7[/tex]

Step-by-step explanation:

The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.

Total area of the room: [tex]13x^2+7x-2[/tex]

Area taken up by furniture: [tex]5x^2-x+5[/tex]

Area of gray region = total area of the room - area taken up by furniture

Area of gray region = [tex]13x^2+7x-2-(5x^2-x+5)[/tex]

Remember to distribute the negative sign:

Area of gray region = [tex]13x^2+7x-2-5x^2+x-5[/tex]

Combine like terms:

Area of gray region = [tex]8x^2+8x-7[/tex]

Answer:

8x^2+6x+3

Step-by-step explanation:

 13x^2+7x-2

-  5x^2-   x+3

============

8x^2=6x=3

Answer:

4x+4=5x-8

4x-5x+4=-8

4x-5x=-8-4

-x=-8-4

-x=-12

x=12

Step-by-step explanation:

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

Answer:

Greatest common factor of 4 and 19 is 1

Answer:

The answer of the addition is;

√2+√5

Step-by-step explanation:

Here, we want to evaluate the given sure

Basically, we want to add the two surds together

In the case of this question, since they have nothing in common, the addition of both will give the same results

Thus;

√2+√5 = √2+√5

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

Answer:

she ran 5 miles each day

Step-by-step explanation:

let the number of miles she ran each day = x

x = 30/6

x = 5 miles

Answer:

Inequality Form:

x<7

Interval Notation:

(−∞,7)

Step-by-step explanation:

plz give brainlyest

Answer: $2.55

Step-by-step explanation:

He bought the second shirt for half off the first shirt's price. He therefore bought it at:

= 19.99/2

= $10.00

Total paid for both shirts is therefore:

= 19.99 + 10

= $29.99

Sales tax is 8.5% so he paid:

= 29.99 * 8.5%

= ‭2.54915‬

= $2.55

Answer:

i think shell pay 24$ between 3 and 4pm

and an additional $12

Step-by-step explanation:

sorry if this is wrong:(

Answer:

[tex]8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

How  the heck imma suppose to no

Answer:

No

Step-by-step explanation:

parallel means they do not touch.

Answer:

1. x = 21°

2. x = 30°

3. x = 7°

5 x = 3

Step-by-step explanation:

Solving for x

1. 15+ 5x + 60° = 180°

75 + 5x = 180°

5x = 180 - 75

5x = 105

x = 105/5

x = 21°

2. These angle are vertical angles

Hence:

13x - 5 = 125°

13x = 125° + 5

13x = 130

x = 130/3

x = 30°

3. 8x - 1 = 55°

8x = 55 + 1

8x = 56

x = 56/8

x = 7°

5. These angles are angles in a straight line

17x - 1 + 130° = 180°

17x + 129° = 180°

17x = 180° - 129°

17x = 51

x = 51/17

x = 3°

Answer:

5

Step-by-step explanation:

1.24 times 3 = 3.72

.95 (the value of pence to a pound in decimal form) = 2.85

6.18 for the teapot

2.72+2.85+6.18=11.75

She now has £8.25 left (20-11.75).

8.25/1.57=the amount of plates she can buy: 5.25477707006, so 5 with some money left