Simplify the following expressions.
8x + 6y + 5x + 4y

Answer:

8

Step-by-step explanation:

p = ?

h = 10

b = 6

Now,

p2 = h2 - b2

p2 = ( 10)2 - (6)2

p2 = 100 - 36

p2 = 64

p = root under (64)

p = 8

Answer:

1/13

Step-by-step explanation:

Answer:

1/13 is the answer  

Step-by-step explanation:

Answer:

8 outfits with change

Step-by-step explanation:

if you add up the prices of the objects and divide it then you get 8.989

Answer:

d

Step-by-step explanation:

because it's the exact value

Answer:

See Below.

Step-by-step explanation:

Let the intersection point above E be K, and let the intersection point below E be J.

Since ABCD is a trapezoid:

[tex]\displaystyle AB\parallel DC[/tex]

Therefore:

[tex]\displaystyle \angle AJF\cong \angle DKF[/tex]

And:

[tex]\displaystyle \angle DFJ\cong \angle DFJ[/tex]

So, by AA-Similarity:

[tex]\displaystyle \Delta DFK\sim \Delta AFJ[/tex]

CPSTP (Corresponding Parts of Similar Triangles are Proportional):

[tex]\displaystyle \frac{KD}{JA}=\frac{FK}{FJ}[/tex]

Likewise, do the same to the other side. Since AB is parallel to DC:

[tex]\displaystyle \angle BJF\cong CKF\text{ and } \angle CFJ\cong \angle CFJ[/tex]

Hence:

[tex]\Delta CFK\sim \Delta BFJ[/tex]

By CPSTP:

[tex]\displaystyle \frac{KC}{JB}=\frac{FK}{FJ}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

Since AB is parallel to DC:

[tex]\displaystyle \angle CDB\cong \angle ABD[/tex]

By vertical angles:

[tex]\angle DEK\cong BEJ[/tex]

Hence, by AA-Similarity:

[tex]\Delta DKE\sim \Delta BJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KD}{JB}=\frac{KE}{JE}[/tex]

Likewise:

[tex]\angle DCE\cong \angle BAC[/tex]

And by vertical angles:

[tex]\displaystyle \angle CEK\cong \angle AEJ[/tex]

Hence:

[tex]\Delta CKE\sim \Delta AJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KC}{JA}=\frac{KE}{JE}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

Now, we have obtained that:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

And:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

In the second proportion, multiply both sides by JA:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=KC[/tex]

In the first equation, multiply both sides by JB:

[tex]\displaystyle \frac{KD\cdot JB}{JA}=KC[/tex]

Substitute:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=\frac{KD\cdot JB}{JA}[/tex]

Cross-multiply:

[tex]JB\cdot KD\cdot JB=JA \cdot KD\cdot JA[/tex]

Cancel out KD and simplify:

[tex]JB^2=JA^2[/tex]

Therefore:

[tex]JB=JA[/tex]

And using the first proportion again:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JA}\Rightarrow KD=KC[/tex]

Hence, EF bisects AB and DC, the bases of the trapezoid.

Answer and Step-by-step explanation:

To find the length of z, we need the lengths of the other 2 sides first. Simply take the square root of both areas and that will be your sides.

[tex]\sqrt{13}[/tex] and [tex]\sqrt{29.25}[/tex]

Now find z, the hypotenuse.

[tex](\sqrt{13}) ^2 + (\sqrt{29.25} )^2 =z^2\\\\13 + 29.25 = z^2\\\\42.25 = z^2\\\\\sqrt{42.25} = z\\\\6.5 = z[/tex]

6.5 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

0.83 mi/min

Step-by-step explanation:

Start with 80 km/hr.  Convert this to the units miles/hr:

(80 km/hr)(1 mile/1.6 km) = 50 miles/hr

Next, apply the equality 60 min / 1 hr = 1 to 50 miles/hr:

50 miles.      1 hr

------------- * ------------ = 5/6 mi/min, or 0.83 mi/min

     hr          60 min

Answer: 11 1/2 ft

Step-by-step explanation:

We know that the equation for the area of a rectangle is:

length x width = area

All we have to do is fill it in with the numbers and solve:

length x 8 1/3 = 95 5/6

length = 95 5/6 ÷ 8 1/3

length = 23/2 = 11 1/2

Thus, the length of Tamara's room is 11 1/2 feet.

Answer:

The answer is A)  y =3x + 3

Step-by-step explanation:

You substitute the gradient and y intercept into the equation of y = mx +b

Answer:

Sorrry i dont know

Step-by-step explanation:

Answer:

1) x= -1/27

2) x=-4

3) x=13

Step-by-step explanation:

1) 7+7/9x= = -42

   14/9x= = -42

  14/9x X 9x= -42 X 9x

    14= -378x

    -378x= 14

   -378x/-378= 14/-378

      x= -1/27

2) 4x+1=−15

 4x+1-1=-15-1

    4x=-16

   4x/4= -16/4

      x=-4

3) −4(x−3)=−40

 -4(x-3)/-4= -40/4

     x-3=10

   x-3+3=10+3

        x=13

Step-by-step explanation:

this may be the answer

but I am not that sure

Answer:

5

Step-by-step explanation:

Verticle angles are the angles opposite of each side.

Answer:

I think only 5

hope this helps

have a good day :)

Step-by-step explanation:

if you have to choose more it would be 5 and 6

Answer:

5

Step-by-step explanation:

I hope this answer be right:)

Answer:

Step-by-step explanation:

let the roaster be x

ratio of chicken to roosters is 10 :2

chickens /rooster =chickens /rooster

10/2=25/x

do cross multiplication

2*25=x*10

50=10x

50/10=x

5=x  therefore there are 5 roosters.

Answer:

too complex boy Soo hard

Answer:

m=90

Step-by-step explanation:

if you only need to do one other angle then do m. it's a right angle

Answer:

i think it's D

it's hard to explain but i'm sure it's D

Answer:

1.

25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.

2. I expect the company to reject 11 of them because 25-36 = 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Okayy, so we know that the domain for the flea collars (let's call them x for short) is:

[tex]14\leq x\leq 16[/tex]

So basically we can eliminate all of the numbers that don't fit the inequality

In this set of numbers we are looking to eliminate the 13's and the 17's

17, 14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16, 13, 13

13, 13, 13, 14, 14, 13, 17, 14, 15, 13, 14, 15, 16, 17, 14, 17, 14, 15

The bolded ones are the ones to eliminate, also that took way too long to type those :,)

Now here's what's left:

14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16

14, 14, 14, 15, 14, 15, 16, 14, 14, 15

Now we can answer the questions

A) What percent of collars would be acceptable?

To find this answer we must find the percent of collars that are left out of all of the collars we used to have

(I hope that makes somewhat sense)

To find this we need to know the number of collars we started with and the number of collars we have left

We started with 36

We have 25 left

25/36 is about

69.44 percent

This number works even though we only used 36 because the ratio of good collars to be bad collars should be consistent throughout the whole 720 collars

nExT qUeStIoN

B) How many collars

The answer is D After 30 months EZ.

Answer: 0.3

Step-by-step explanation:

Answer:

392π

Step-by-step explanation:

Equation is 1/3(piR^2)*h

Radius is 7, 7 squared is 49.

1/3(49π)(24)

392π

Step-by-step explanation:

write what you know

A = pi x r^2

r = 6ft

Annd plug and chug

Answer:

[tex]\boxed {\boxed {\sf a \approx 113.0 \ ft^2}}[/tex]

Step-by-step explanation:

The area of a circle is the space inside the shape. The formula is:

[tex]a= \pi r^2[/tex]

We know the radius of the circle is 6 feet and we are using 3.14 for pi.

Substitute the values into the formula.

[tex]a= (3.14) \times (6 \ ft)^2[/tex]

Solve the exponent.

[tex]a= (3.14) \times 36 \ ft^2[/tex]

Multiply.

[tex]a=113.04 \ ft^2[/tex]

Let's round to the nearest tenth. The 4 in the hundredth place tells us to leave the 0 in the tenths place.

[tex]a \approx 113.0 \ ft^2[/tex]

The area of the circle is approximately 113.0 square feet.

Answer:

number 1 is A: 8<4x+10

number 2 is i: 2x+7<5

number 3 is E: 8<3x+4

number 4 is D: 2-5x<5

Answer:

Hi, I believe 1-0.25c is the correct answer.

Step-by-step explanation:

This is because 25% off would mean taking 25 off of a whole amount, which in this case would be one.

Answer:

A is your answer