Simplify: - 7a + 8 + 5a

Answer:

-4/9z-7

Step-by-step explanation:

7/9z-6/9z+2-5/9z-9

=7/9z-6/9z-5/9z+2-9

=(7-6-5)/9z+(2-9)

=-4/9z-7

Answer and Step-by-step explanation:

Simply use triangles to find the length of the lasers.

The first triangle consists of the sides of 12 inches, 18 inches, and the laser (which is the hypotenuse).

Use the Pythagorean theorem to solve for the hypotenuse.

([tex]a^{2}+ b^{2} = c^{2}[/tex])

[tex]12^{2} +18^{2} = l^{2} \\\\144 + 324 = l^{2} \\\\468 = l^{2} \\\\Square-root-both-sides\\\\\ \\\sqrt{468} = l[/tex]

l ≈21.633

Now, we solve the other triangle.

[tex]9^{2} +6^{2} = l^{2} \\\\81 + 36 = l^{2} \\\\117 = l^{2} \\\\Square-root-both-sides\\\\\sqrt{117} =l\\l = 10.8167[/tex]

Now, add those two hypotenuses.

21.6333 + 10.8167 = 32.45

32.45 rounds up to 32.5

32.5 is the total distance the laser beam travels.

#teamtrees #WAP (Water And Plant)

Answer:

answer is 113.04 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1,200

2500+1200=3700

Answer:d

Step-by-step explanation: because that’s the answer

D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.

According to accounting and finance terminology, the finance charge is the total fees that you pay to borrow the money in question. This means that the finance charge includes the interest and other fees that you pay in addition to paying back the loan.

Answer:

a5 = 2

Step-by-step explanation:

If a1 = 32,

a1 = 1/2 a0 = 32

a0 = 64

With that, we know that

a0 = 64,

a1 = 32

so, a2 is definitely 16. From that, we may know the formula,

an = a0 (1/2)^n

a5 = a0 (1/2)^5

a5 = 64 (1/32)

a5 = 2

Answer:

Area = 342[tex]cm^2[/tex], Perimeter = 22.79 cm

Step-by-step explanation:

First, divide the shape into 3:

An arc, a square, and a triangle.

Dimensions of shapes:

Arc:

Degree = 40°

Arms = 4 cm

Square:

All sides are 4 cm

Triangle:

base = 3 cm

height = 4 cm

hypotenuse = 5 cm

To get perimeter:

Arc length = [tex]\frac{40}{360} * (2*\pi * (4))[/tex]   (4 is the arm length ) = 2.7925 cm

Arc arm = 4 cm

Square sides (only two are outside) = 2 * 4 = 8 cm

Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm

So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm

To get area:

Arc area (the pizza shape) = [tex]\frac{40}{2\pi } * \pi * (4)^{2}[/tex]   (4 is the arm length) = 320 [tex]cm^{2}[/tex]

Square area  = side * side = 4 * 4 = 16 [tex]cm^{2}[/tex]

Triangle =  (1/2) * base* height = (1/2) * 3 * 4 = 6[tex]cm^{2}[/tex]

So total area is 320 + 16 + 6 = 342[tex]cm^2[/tex]

Answer:

Area=27.58 cm^2

Perimeter =22.29cm

Step-by-step explanation:

The shape consists of a sector and a trapezium

For area= area of sector +area of trapezium

[θ/360*πr^2]+[1/2(a+b)h]

[40/360*3.14*4^2]+[1/2(4+7)4]

5.58+22

27.58cm^2

For perimeter = perimeter of sector +perimeter of square +perimeter of triangle

[θ/360*2πr]+[4s]+[1/2(a+b)]

[40/360*2*3.14*4]+[4*4]+[1/2(4+3)]

2.79+16+3.5

22.29cm

Answer:

1) The problem asks for the number of boxes than can be made from the yarn.

2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) We need to divide the total length of yarn by the length used to produce a box.

4) 20 boxes.

5) Gina can make 20 boxes from 90 meters of yarn.

Step-by-step explanation:

1) What is asked?

R/ The problem asks for the number of boxes than can be made from the yarn.

2) What are the given facts?

R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) What is the operation to be used?

R/ We need to divide the total length of yarn by the length used to produce a box.

[tex]x = \frac{90\,m}{\frac{9}{2}\,m }[/tex]

[tex]x = 20[/tex]

4) What is the number sentence?

R/ 20 boxes.

5) What is the complete answer?

R/ Gina can make 20 boxes from 90 meters of yarn.

Answer:

B. Lease

Step-by-step explanation:

Cash has value

A vehicle has value

A house has value

But a lease itself does not have value

Asset is something you own that has value

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Explanation: The value for a comes from the coefficient

on the x² term which in this case is 2 so we say that a = 2.

The value for b comes from the coefficient on the x term

which in this case is 1 so we say that b = 1.

The value for c comes from the constant term

which in this case is 3 so we say that c = 3.

Answer:

X=12,-4

Step-by-step explanation:

Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4

Answer:

Two negatives

Step-by-step explanation:

I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!

Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

Answer:

74% 3/4 and .76 just like that

atStep-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

Answer:

Yes

Step-by-step explanation:

The relationship between y and x is:

y=1/4x, because when

x=4, y=1

x=8, y=2

x=12, y=3

x=16, y=4

Answer:

V=1.3(repeating)A+1.3(repeating)M

Answer:

a) 34.3%

b) 49%

Step-by-step explanation:

In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..

70% / 100 = 0.70

Now we multiply all of them together and multiply the product by 100 to get the percentage.

0.70 * 0.70 * 0.70 = 0.343

0.343 * 100 = 34.3%

34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities

0.70 * 0.70 = 0.49

0.49 * 100 = 49%

Answer:

27607.3619632 meters per hour

Step-by-step explanation:

She was running 7.6 m/s 3600 seconds in a hour

3600x7.6=27607.36

Step-by-step explanation:

Your question is not well understood

Answer:

y=70 x=20

Step-by-step explanation:

Answer:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

Step-by-step explanation:

x y = x + 2 Ordered pair

0 0 + 2 = 2 (0, 2)

1 1 + 2 = 3 (1, 3)

2 2 + 2 = 4 (2, 4)

this is probably not right but i gave an an example

:)

Answer:

10√2

Step-by-step explanation:

This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units

We can then use a^2+b^2=c^2 to solve for the last side

so we have

10^2+10^2=x^2

200=x^2

sqrt200=x

and I see that they want an exact answer so you simplify sqrt200 to

10√2

Answer:

b = 6 when a=12 and

c=100

Step-by-step explanation:

b = (k*a)/√c

b=5 when a=2 and c=4

5 = (k*2)/√4

5 = 2k/2

Cross product

5*2 = 2k

10 = 2k

k = 10/2

= 5

k = 5

find b when a=12 and

c=100

b = (k*a)/√c

= (5*12)/√100

= 60/10

= 6

b = 6

Answer:

You can add your question to your question or add a picture to it.

Step-by-step explanation:

Answer: you ask questions and answer stuff like the way I’m doing oh and welcome :’

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

a. The amount that the agency make on the​ house will be 25% of $360,000. This will be:

= 25% × $360,000

= 25/100 × $360,000

= 0.25 × $360,000

= $90,000

b. The amount that the agent earn in​ commission will be:

= 30% × $90,000

= 30/100 × $90,000

= 0.3 × $90,000

= $27,000

Answer:

x=  -7

Step-by-step explanation:

have a good day

Step-by-step explanation:

- 5 (x - 1) = 40(Multiply -5 by the values in the bracket)

-5x + 5 = 40(Subtract 5 on both sides)

-5x = 40 - 5

-5x = 35 (Divide both sides by -5)

x=-7

Answer:

Rewrite (Lambert form):

[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]

Simplify :

[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]

Solve:

[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]

Result:

[tex]x=2,\:x=1[/tex]

Hope this helped u :)

If this was too complicated I can edit it for you.

Answer:

the amount left is 16.2

Step-by-step explanation:

The computation of the amount of money spend is shown below;

Given that

Total money available $20

This week 10% would be put in piggy bank

and, in next week 10% of the money would be put again in piggy bank

So the money left is

= $20 - $20 × 10% - ($18 × 10%)

= $20 - $2 - $1.8

= $16.2

Hence, the amount left is 16.2

Answer:

4368 m

Step-by-step explanation:

13x6x8x7=4368

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3