1) A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?

2) A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in 6 seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?

3) A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each.

4) A bear loves visiting his friend, the piglet. The distance between their houses is 300m, and the bear always walks from his house to the piglet's house in exactly the same amount of time. But today, the bear stops at a beehive after walking 1/4 of the distance. He eats honey for 2.5 minutes and then continues to the piglet's house at a speed 15 m/min faster than usual. The total journey to the piglet's house takes the exact same amount of time as it usually does, when the bear does not stop for honey. How long does the journey take?

Answer:

no solution

Step-by-step explanation:

Given

- 2(v - 2) = - 3 - 2v ← distribute left side

- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )

- 2v = - 7 - 2v ( add 2v to both sides )

0 = - 7 ← not possible

This indicates the equation has no solution

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

Answer:

The second answer is correct

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer: b = 3

Step-by-step explanation:

1. a^2 + b^2 = c^2

2. 1.6^2 + b^2 = 3.4^2

3. 2.56 + b^2 = 11.56

4. 11.56-2.56 = b^2

5. 9 = b^2

6. 3 = b

Answer: 19.2 cm

Step-by-step explanation:

A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:

= 4.08 * 100

= 408 cm

She cuts this into 10 equal pieces:

= 408 / 10

= 40.8 cm

Martha cuts her 540 cm wire into 9 pieces. Each piece is:

= 540 / 9

= 60 cm each

The difference is:

= 60 - 40.8

= 19.2 cm

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Step by step explanation:

Question 1:

Let's simplify step-by-step.

−3x2+6x+5x2−2

=−3x2+6x+5x2+−2

Combine Like Terms:

=−3x2+6x+5x2+−2

=(−3x2+5x2)+(6x)+(−2)

=2x2+6x+−2

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

Answer:

15

Step-by-step explanation:

To find the y-intercept, just set the x value to 0:

[tex]y=0^2+0x+15=15[/tex]

Answer:

2/35

Step-by-step explanation:

total of 15 books

P(Adv,Hist) = 3/15 · 4/14  =  1/5 · 2/7  =  2/35

Answer:

[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]

Step-by-step explanation:

[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

[tex] = > \frac{9x - 7x}{63} = - 1[/tex]

[tex] = > \frac{2x}{ 63} = - 1[/tex]

Now lets multiply 63 on both the sides.

[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]

[tex] = > 2x = - 63[/tex]

Now lets divide both the sides by 2.

[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]

[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]

Answer:

There are no options, so i will answer in a general way.

In a function:

y = f(x)

The output is y, and the input is x, and the ordered pair is written as (x, y)

In this case, we have the function:

y = -7*x + 6

Then we need to have different inputs and then find the outputs for each.

For example, if x = 1.

y = -7*1 + 6 = -1

Then we have the ordered pair (1, - 1)

if x = 0

y = -7*0 + 6 = 6

then we have the ordered pair (0, 6)

The general ordered pair is written as:

(x, y =  -7*x + 6)

or:

(x,   -7*x + 6)

Where you only need to replace the value of x.

Answer:

−4+y

Step-by-step explanation:

3+(−7+y)

Subtract 7 from 3 to get −4.

−4+y

Answer:

A, C and D

Step-by-step explanation:

both A, C and D are both porportions because they both equal the other fraction.

Answer:

1, 3, 4

Step-by-step explanation:

i had this on my test- im doing it rn.

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

Answer:

2nd linear equation represents the graph

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

Answer:

OH OKK NICE TELLING ME

Step-by-step explanation: