Round to the nearest tenths place30.06858282

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

Answer:

a y intercept (0,8)

Flat rate 8

b  slope is 4

c  3.5 hours

Step-by-step explanation:

The y intercept is where it crosses the y axis, which is (0,8)

The flat rate is the y intercept which is 8

The rate per hour is the slope

m = ( y2-y1)/(x2 -x1)

Using 2 point ( 1,12) and ( 2,16)

    = (16 -12)/(2-1)

     = 4/1

    = 4

The equation is

y = mx+b

y = 4x+8

Let y = 22

22 = 4x+8

Subtract 8 from each side

22-8 = 4x+8-8

14 = 4x

Divide by 4

14/4 = 4x/4

3.5 = x

3.5 hours

(0,8) is the y intercept because it crosses the y axis.

We can see that the flat rate is 8, which is the y intercept.

[tex] \quad\quad\quad\boxed{ \tt{m = \frac{rise}{run} = \frac{ y \tiny{2} \: \small{ - } \: y \tiny{1}}{x \tiny{2} \: \small{ - } \: x \tiny{1}} }}[/tex]

[tex]\quad\quad\quad\boxed{ \tt{m = \frac{16 - 12}{2 - 1} }}[/tex]

[tex]\quad\quad\quad\boxed{ \tt{m = \frac{4}{1} }}[/tex]

[tex] \quad\quad\quad\boxed{ \color{green}\tt{m = 4}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{22 =4x + 8}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{22 - 8 = 4x + 8 - 8}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{14 = 4x \: \:\cancel{ \color{red}+ 8 - 8}}}[/tex]

[tex]\quad \quad \quad \boxed{ \tt{ \frac{14 = \cancel4x}{ \cancel{4} }}}[/tex]

[tex]\quad \quad \quad \boxed{ \color{green} \tt{3.5 = x}}[/tex]

_________

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Answer:

19.55m

Step-by-step explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m

Answer:

median = 25. that's the answer

Answer:

Mean - 25

median - 25

range - 10

mode - 25

Answer:

Step-by-step explanation:

t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).

Step-by-step explanation:

hello it's B)

v ::::: ok

.

.

.

.

.v:

Answer:

a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4

Step-by-step explanation:

Given

x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c

with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml

Answer:

0.8 cm = 8km

0.5cm = 5km

hope this helps

Vertical stretch

Hope this helps! :)

Hey there!

(a^8)^4

= a^(8)(4)

8(4) = 32

= a^32

Answer: a^32

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

A. and C. neither of them have a repeating y value if you input a vertical line on the graph

Answer:

CO

Step-by-step explanation:

Conditional: If p, then q.

Converse: If q, then p.

Conditional: If the measure of an angle is 90 degrees, then it is a right angle.

If p, then q.

p = the measure of an angle is 90 degrees

q = it is a right angle

Converse:

If q, then p.

If it is a right angle, then the measure of the angle is 90 degrees.

Answer: CO

Answer:

6π

Step-by-step explanation:

(135/360)×π×4²

(135/360)×π×16

=6π

Answer:

200

Step-by-step explanation:

Good luck <3

Answer:

200

Step-by-step explanation:

hope it helps

Answer:

id say a

Step-by-step explanation:

The amount of interest his account should earn after 15 years is:

$7, 915.64.

Here, we have,

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days

Let, A= x

Now, x =$4,500(1+7/100×365)^(365×15)

     x=$12415.64

i.e.  final amount = $12415.64

so,  the amount of interest his account should earn after 15 years is:

$12415.64 - 4500 = $7, 915.64

Hence, the amount of interest his account should earn after 15 years is: $7, 915.64

To learn more on Compound interest click:

brainly.com/question/29335425

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Answer:

98º

Step-by-step explanation:

The sum of angles in a triangle is 180

---------------------

The missing angle in the triangle

180 - 45 - 53 = 82º

-------------------------

x is supplementary to 82º

x = 180 - 82

x = 98º

Answer:

- [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]

co.op

interest = principle * rate * time in years

8000*0.09*1= 720$

total owed =

principle + interest

8000+720= 8720$

bank

interest = principle * rate * time in years

interest = principle * rate * time in years8000*0.06*1= 480$

principle + interest

8000+480= 8480$

......

6)

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest =

1500(1+0.12)^2

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

she should choose Bank A less total owed

she'll have to pay the bank 2040$

Answer:

5 feet

Step-by-step explanation:

Answer:

The surface area is 88ft.

Just to let you know just in case if you have the same question is that the formula of finding the surface area of a rectangular prism is A = 2(wl + hl + hw)

Answer:

option 1

Step-by-step explanation:

[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]

Answer:

25/2

Step-by-step explanation:

Caio comprou uma lembrança para todos os amigos e gastou R $ 12,50.

Comparando e resolvendo as opções dadas a nós,

a) 125/2 = 62,5

A opção a está errada

b) 25/5 = 5

Opção b está errada

c) 125/5 = 25

A opção c está errada

d) 25/2 = 12,50

A opção d está correta

Portanto, a fração que pode representar este valor é 25/2

Answer:

16/13 is the answer.

26-10 is 16 and 2x5+3 is 13

Answer:

4

Step-by-step explanation:

26 - 25 + 3

Answer:

It should be -24

Step-by-step explanation:

I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)

Answer:

B

Step-by-step explanation:

a rectangle that is not a square

The plane will be rectangular which is not a square. Then the correct option is B.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.

Let a be the side length of the cube.

The length of the rectangular plane will be

L² = a² + a²

L = a√2

Then the dimension of the plane is 'a' and 'a√2' units.

The plane will be rectangular which is not a square. Then the correct option is B.

More about the rectangle link is given below.

https://brainly.com/question/10046743

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