HELPPP 50 pointsss
An equation is shown below:

8(2x – 14) + 13 = 4x – 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Answer:

Step-by-step explanation:

5(a + a + b) = 5(2a + b)

use the distributive property:

a(b + c) = ab + ac

= 5 · 2a + 5 · b =10a + 5b

Answer:

[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ a+a=2a

Rewrite the problem down.

[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]

Multiply should be expanded.

⇒ 5*2a=10a

⇒ 5*b=5b

Rewrite the problem.

⇒ = 10a+5b

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

6.132

Step-by-step explanation:

please mark me the brainiest

Answer:

6

Step-by-step explanation:

small with french roast or italian roast =2

medium with french roast or italian roast =2

large with french roast or italian roast =2

All of them combined =6 possible out comes

The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.

The circumference of a circle of gotten by the formula:

C = 2πr or πd

where,

r = radius

d = diameter

Since the diameter is given as 3cm, the circumference will be:

= πd

= 3.142 × 3

= 9.426cm

In conclusion, the circumference of the circle is 9.426cm.

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Answer:

Step-by-step explanation:

Answer: She.Was.Playing.By.Ear

Answer:

6 sales

Step-by-step explanation:

(I MADE THIS QUESTION I DIDINT KNOW IF YOU NEEDED IT)

Jake wants to but the new computer(it costs $920). Jake has $560 saved in his bank. Jake also gets $60 whenever he makes a sale at his job. How many sale(s) at his job does Jake need to make? Answer -- Jake needs to make 6 sales of $60 to buy the new computer.

MATH -----

$6 x $60 = $360

$360 + $560 = $920

Answer: 9

Step-by-step explanation:

9*9 = 81

Answer:

9

Step-by-step explanation:

9*9=81

Answer:

V(sphere) =

[tex] \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ [/tex]

V(hemisphere) = V(sphere)/2 = 97.715 = 97.7

Answer:

5 + 3(4)

5+ 12

17

Step-by-step explanation:

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Answer:

17

Step-by-step explanation:

5 + (3 x 4)

5 + (12)

17

You're multiplying 3 by 4 because x = 4. When a variable is on top of a number, you will multiply it. Almost like saying 3(4).

I hope this helped!

The distance they(Bobby's cat and dog) will be from each other after 30 minutes is 0.5x miles.

The dog runs twice as fast as the cat. Therefore,

Bobby's cat speed = x

Bobby's dog speed = 2x

Therefore,

speed  = distance / time

30 minutes = 0.5 hours

Therefore,

distance = speed × time

distance covered by the cat = x × 0.5 = 0.5x

distance covered by the dog = 2x × 0.5 = x

Therefore, the distance they will be from each other after 30 minutes is as follows:

distance = x - 0.5x = 0.5x

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Answer: 189

All Steps and Information Found in Image.

Hope This Helped!

Answer: ∠A=144°

Step-by-step explanation:

∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.

10x+24=6x+72          [subtract both sides by 6x]

4x+24=72                  [subtract both sides by 24]

4x=48                         [divide both sides by 4]

x=12

Now that we found x, we need to plug it into ∠A.

10(12)+24=120+24=144

We know that ∠A=144°.

In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.

Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.

In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.

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Answer:it answer is harvested

Step-by-step explanation:

Answer:

Total number of marbles in the bag is 3 + 4 = 7.

The problem asks for the probability of (RR) or (BB).

It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from

Since each draw is independent, we take the product of each event for the total event probability.

P(RR) = 3/7 * 3/7 = 9/49

P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)

P(RR) + P(BB) = 9/49 + 16/49 = 25/49

Answer:

13. True, False, True

14. False, True, True

15. All true

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

that the answer

calculate them

So

Now

The required probability

[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]

[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]

[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]

[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]

[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]

[tex]\\ \rm\rightarrowtail 0.213[/tex]

So probability

Option B

Answer:

b.  21.4 % (nearest tenth)

Step-by-step explanation:

P(lose) = 33% = 0.33

P(win) = 1 - 0.33 = 0.67

Using binomial distribution X ~ B(n, p)

where n is the number of trials and p is the probability of success

⇒ X ~ B(15, 0.67)

Binomial probability formula:

[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]

[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]

                       [tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]

                       [tex]\sf =0.214226434...[/tex]

Converting to percentage:

0.214266434... x 100% = 21.4 % (nearest tenth)

Answer:

60 + 6n

Step-by-step explanation:

Distribute 6 to both terms:

6 * 10 is 60

6 * n is 6n

Both total are 60 + 6n

Hey there!

6(10 + n)

= 6(10 + 1n)

DISTRIBUTE 6 WITHIN the PARENTHESES

= 6(10) + 6(1n)

= 60 + 6n

= 6n + 60

Therefore, your answer is: 6n + 60

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

P=141,300(1+0.05)^6

Step-by-step explanation:

r = rate = 5/100 = 0.05

a = starting amount = 141,300

t = time = 6 years

% growth formula:

a(1+r)^t

141,300(1.05)^6

Answer:

P=141,300(1+0.05)^6

Step-by-step explanation:

r = rate = 5/100 = 0.05

a = starting amount = 141,300

t = time = 6 years

% growth formula:

a(1+r)^t

141,300(1.05)^6

Answer:

36

Step-by-step explanation:

triangular numbers are

1, 3, 6, 10, 15, 21, 28, 36, .....

square numbers are

1, 4, 9, 16, 25, 36, ..........

the smallest number that is triangular and square is 36

Answer:

21.42

Step-by-step explanation:

Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42

Answer: yes its a 3:1 ratio

3 cups of strawberries

per 1 cup of mango

Step-by-step explanation:

so the best way i can try to explain it is this...

1 2 they both need a

_ x _ common denominator so

3 6 you need to multiply the smaller one to equal

the bottom number of the other one

oorr divide the big number on the bottom to equal

the smaller number on the bottom of the left

equation.

soooo 2 times (1:3) equals (2:6)

or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)

Answer:

is equal to 925 i think cuz

Step-by-step explanation:

summation of arithmetic sequence

n=1 , 3n-2=3-2=1 , a=1, d=3.

sn=n+3n(n-1)

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

2

a=1 ,d=3 sn= n+3n(n-1)

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

2

S25=25+3×25(25-1)

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

2

25+900=925

so the answer will be 925

Answer:

four sixths + three fifths.

Step-by-step explanation:

1 8/30 = 38/30.

4/6 + 3/5

= 20/30 + 18/30 = 38/30.

Answer:

The range is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The IQR is the best measure of variability because the distribution has an outlier.

Step-by-step explanation:

is this what you was looking for

Answer:256960ft

Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.

Answer:

297 ft

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex], hence:

[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}[/tex]

Therefore, the average rate of change of [tex]f(x)[/tex] over the interval [tex][5,9][/tex] is [tex]\frac{9}{2}[/tex].

Part B

Do the same thing as in Part A:

[tex]\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4[/tex]

Therefore, the average rate of change of [tex]g(x)[/tex] over the interval [tex][0.25,1][/tex] is [tex]-4[/tex].

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

The average rates of change are:

For a function f(x), the average rate of change on the interval [a, b] is:

[tex]r = \frac{f(b) - f(a)}{b -a}[/tex]

a) Here we have:

[tex]r = \frac{F(9) - F(5)}{9 - 5} = \frac{14 - (-4)}{4} = 4.5[/tex]

b) Now we look at g(x) on the interval [0.25, 1]

Notice that g(0.25) = 5 and g(1) = 2

Then we have:

[tex]r = \frac{2 - 5}{1 - 0.25} = -4[/tex]

c) That average rate of change means that, in average, in that interval in each second the height decreases by 4 ft.

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Answer: 31/4 or 7.75

Step-by-step explanation:

17 (1/5) × 17,5 = 301

,..,.

Answer:

L= 12

Step-by-step explanation:

area= L×B

108= 9×L

108= 9L

Divide both sides by 9

108/9= 9L/9

L= 12

There are 16 fruits in each of the boxes found under the stairs.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of pears, hence:

Number of fruit in first box = 12 + (1/9)x

Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x

Therefore:

12 + (1/9)x = (4/9)x

x = 36

First box = second box = third box = (4/9) * 36 = 16

There are 16 fruits in each of the boxes found under the stairs.

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