If 3(x - 4) = x + 4, then x =8

Answer:

-21v-7

Step-by-step explanation:

1st remove parentheses: 4v*3+3v-8v*4+4v-8v-7

2nd Add similar elements: 3v+4v-8v= -v

      =4*3v-v-8*4v-7

3rd Multiply the numbers: 4*3=12

        12v-v-8*4v-7

4th Multiply the numbers: 8*4=32

       =12v-v-32v-7

5th Add similar elements: 12v-v-32v=-21v

       = -21v-7

Final answer:

To make x the subject of the equation a = 7x/k - r, add r to both sides, multiply by k, and then divide by 7, resulting in x = k(a + r)/7.

Explanation:

To rearrange the equation a = 7x/k - r to make x the subject, we need to perform a series of algebraic manipulations. Firstly, we add r to both sides of the equation, giving us a + r = 7x/k. Following this, we multiply both sides by k to get rid of the denominator, which results in k(a + r) = 7x. Finally, we divide both sides by 7 to solve for x, which gives us x = k(a + r)/7. This rearrangement shows x as the subject of the original equation.

Answer:

  an = 8·(1/2)^(n-1)

Step-by-step explanation:

The first value is a1 = 8 and the common ratio is r = 1/2, so the formula is ...

  an = a1·r^(n-1)

  an = 8·(1/2)^(n-1)

  an = 2^(4-n) . . . . . . more compact version

[tex]r=\theta\sin\theta+\cos\theta[/tex]

[tex]\dfrac{\mathrm dr}{\mathrm d\theta}=\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}+\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}[/tex]

By the product rule,

[tex]\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}=\dfrac{\mathrm d(\theta)}{\mathrm d\theta}\sin\theta+\theta\dfrac{\mathrm d(\sin\theta)}{\mathrm d\theta}=\sin\theta+\theta\cos\theta[/tex]

and

[tex]\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}=-\sin\theta[/tex]

So we have

[tex]\dfrac{\mathrm dr}{\mathrm d\theta}=\sin\theta+\theta\cos\theta-\sin\theta[/tex]

[tex]\implies\dfrac{\mathrm dr}{\mathrm d\theta}=\theta\cos\theta[/tex]

Answer:

3/8

Step-by-step explanation:

We can write 75% as a fraction, 75/100 and simplifying the fraction gives 3/4.

Then you have to multiply 1/2 * 3/4 which gives the result of 3/8.

Answer: 3/8

Step-by-step explanation:

First, I'm going to be using the 1/2 as .5

.5 x .75 = .375

.375 in fraction form is 375/1000

Simplified is 3/8.

Candies

4 red

2 yellow

5 green

1 purple

- Taina doesn't like red candies.

4/4+2+5+1 = 4/12

4/12 is the probability Taina will get a red candy, but we're looking for the opposite.

12/12 - 4/12 = 8/12 = 2/3

The probability Taina will not select a red candy is 2/3.

Hey!

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Solution:

8 = 8/1

5 3/4 = 23/4

23/4 * 8/1 = 184/4

184/4 = 46

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

Answer:

He will use 46 inches of piping.

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Hope This Helped! Good Luck!

Answer:

46

Step-by-step explanation:

8*5.75= 46

Answer:

-1/3 (can u plz give me the brainliest answer???)

Step-by-step explanation:

change in y over the change in x. (or rise over run).

-1/3

Have a nice day!!!!!!!!!!!

KA

Answer:

-1/3

Step-by-step explanation:

You would use rise over run:

4-3/2-5

That equals -1/3.

Answer:

   x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -5*x+15-(35-10*x)=0

Pull out like factors :

             5x - 20  =   5 • (x - 4)

_________________________________________

Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

_________________________________________

Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

Hey!

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

Solution:

-5x + 15 = 35 - 10x

~Subtract 15 to both sides

-5x + 15 - 15 = 35 - 10x - 15

~Simplify

-5x = 20 - 10x

~Add 10x to both sides

-5x + 10x = 20 - 10x + 10x

~Simplify

5x = 20

~Divide 5 to both sides

5x/5 = 20/5

~Simplify

x = 4

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

Answer:

x = 4

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

Hope This Helped! Good Luck!

Answer:

11 servings

Step-by-step explanation:

13 3/4 ÷ 1 1/4 = 11

There are 11 servings in one box of spaghetti.

Division is breaking a number up into an equal number of parts.

Given that, A box contains 13 3/4 ounces of spaghetti. A serving size is 1 1/4 ounces.

55/4÷5/4 = 11

Hence, There are 11 servings in one box of spaghetti.

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Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex], thus

x³ × [tex]x^{4}[/tex] = [tex]x^{(3+4)}[/tex] = [tex]x^{7}[/tex]

Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

[tex]x^{n}[/tex]×[tex]x^{m} = x^{n+m}[/tex]

Answer:

628

Step-by-step explanation:

She wants to use the sticker for each page of her scrapbook if her scrapbook has more than 628 then she wont have any stickers left because she only has 628 stickers.

The division is one of the four fundamental arithmetic operations. The number of cups that Lina can feel in the box is 20.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Lina packs 3-inch cups into boxes measuring 12 inches by 15 inches. Since the bottom of the cup is circular, therefore, will cover a square area as shown in the image below.

Therefore, the number of cups that can fit in the bcan be written as,

Number of cups= (12 inches × 15 inches)/(3 inches × 3 inches)

                          = 20 cups

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Final answer:

To find the wrapping paper needed for a box with given dimensions and one largest face uncovered, calculate the total surface area, subtract the area of the largest face, resulting in 592 square cm of wrapping paper required.

Explanation:

The question concerns calculating the amount of wrapping paper required to cover a box while leaving one of the largest faces uncovered. Given the dimensions of the box are 12 cm, 10 cm, and 11 cm, we can calculate the surface area of each face and sum them up, excluding one of the largest face, which is one with dimensions 12 cm x 11 cm.

Therefore, Xan will need 592 square cm of wrapping paper to cover the box while leaving one of the largest faces uncovered.

Final answer:

The range of a relation is the set of all possible y-values. For the given table, the range is -3, 0, 1, 2, and 3, which corresponds to answer D.

Explanation:

You're asking to identify the set of numbers that makes up the range in the given relation. The range of a relation refers to all the possible values of y that you can get when you input various values of x. For your table, the y-values are -3, 0, 1, 2, and 3. So, the range is the set of these y-values. Therefore, the correct answer is D. -3, 0, 1, 2, 3.

In general, to find the range, you look at all the second numbers in the ordered pairs of a relation or function. When plotted on a graph, this shows the dependence of y on x.

Answer:

A = {MOPN, MPON, PMON, POMN}

Step-by-step explanation:

Everyone has already agreed that Naim would be the last skater, so we have to make sure that the result has 'N' in each last place. As we can see, they all have this.

Now, we also have to make sure Oliver not first, because although they're trying to decide, the problem asks for the complement in which "Oliver is the first skater in the race."

A complement is all the values that are NOT in the set, so it cannot be A = {OPMN, OMPN) or A = {MOPN,MPON, OPMN, POMN), because they both have at least one case where 'O' is first.

A complement is ALL other values of the set, so it cannot be A = {MOPN, PMON}, because that set only shows two possible values.

Therefore, A = {MOPN, MPON, PMON, POMN} is your answer.

Answer:A=OPMN,OMPN

Step-by-step explanation:

we know oliver is first in the race and naim is last so the other racers are in between

Answer:

a) 18 rows of bricks are needed

b) 2.25 times b

0.375 times (b - 1)

46.875 inches

18 rows

Step-by-step explanation:

* Lets explain how to solve the problem

a)

- The height of each brick is the shortest edge

- The shortest age is 2 1/4 inch ⇒ (2.25 inches)

- If b is the number of the rows of bricks

∴ The height of the bricks = 2.35 × b

- The height of the mortar is 3/8 inches ⇒ (0.375 inch)

- All rows of bricks covered by mortar on top except the last row

- The height of mortar = 0.375 × (b - 1)

- The height of the wall is 1 1/8 (1.125) inches less than 4 feet

∵ 1 foot = 12 inches

∵ 4 feet = 12 × 4 = 48 inches

∴ The height of the wall = 48 - 1.125 = 46.875 inches

- The sum of the total height of bricks and the total height of mortar

 is equal to the height of the wall

∴ 2.25 b + 0.375(b - 1) = 46.875

- By simplify it

∴ 2.25 b + 0.375 b - 0.375 = 46.875

∴ 2.625 b - 0.375 = 46.875

- Add 0.375 for both sides

∴ 2.625 b = 47.25

- Divide both sides by 2.625

∴ b = 18

∴ 18 rows of bricks are needed

b)

* Lets complete the missing

- The total height of the bricks in inches is equal to 2.25 times b

- The total height of the mortar is equal to 0.375 times (b - 1)

-  Their sum is equal to the height of the wall or 46.875 inches

- If I write this as an equation and solve for​ b, then the result is

 18 rows of bricks

To find the number of rows of bricks needed for a wall, we can set up an equation to solve for that number. The equation will involve the heights of the bricks and mortar layers, as well as the height of the wall. Solving the equation will give us the number of rows of bricks needed.

To find the number of rows of bricks needed, we need to determine the total height of the bricks and the total height of the mortar. Let b be the number of rows of bricks. The total height of the bricks in inches is equal to the height of each brick multiplied by the number of rows (b). The total height of the mortar is equal to the height of the mortar layer multiplied by the number of rows minus 1 (b-1). The sum of the heights of the bricks and mortar is equal to the height of the wall, which is 4 feet minus 1/8 inches.

Writing this information as an equation, we have:

(height of the bricks x b) + (height of the mortar x (b-1)) = 4 feet - 1/8 inches

Solving this equation for b will give us the number of rows of bricks needed.

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Answer:

See explanation

Step-by-step explanation:

A. Let x represent the original test scores.

(1) The teacher will give a 10-point bonus, then the score will be x + 10. Hence,

[tex]f(x)=x+10[/tex]

(2) The teacher will increase everyone's grade by 9% of their score, then the score will be x + 0.09x = 1.09x. Hence,

[tex]g(x)=1.09x[/tex]

B. If [tex]f(x)=x+10[/tex] and [tex]g(x)=1.09x,[/tex] then

[tex]f(g(x))=g(x)+10=1.09x+10[/tex]

Meaning: the teacher increased by 9% the score and then increased the result by 10 points.

[tex]f(g(75))=1.09\cdot 75+10=91.75[/tex]

C. If [tex]f(x)=x+10[/tex] and [tex]g(x)=1.09x,[/tex] then

[tex]g(f(x))=1.09f(x)=1.09(x+10)[/tex]

Meaning: the teacher increased by 10 points the score and then increased the result by 9%.

[tex]g(f(75))=1.09(75+10)=92.65[/tex]

D. [tex]g(f(x))\neq f(g(x))[/tex] because [tex]1.09(x+10)\neq 1.09x+10[/tex]

Answer:

y = - 5x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, thus

y = - 5x + c ← is the partial equation of the line

To find c substitute (2, 6) into the partial equation

6 = - 10 + c ⇒ c = 6 + 10 = 16

y = - 5x + 16 ← equation of line

Answer:

Step-by-step explanation:

calculate :

f(-1) =3(-1)-5 =  - 8

f(5) =3(5)-5 = 10

f(2) =3(2)-5 = 1

f(4) =3(4)-5 = 7

the range is : E = {-8.10,1,7}

Answer:

Step-by-step explanation:

p ∨ q : x < −3  or x > 3

Answer:

Step-by-step explanation:

30 meals

12i is the correct answer

have a fantastic day

Answer:

It is undefined or not a real number.

Step-by-step explanation:

There is no negative square root.

square root is a number multiplied by itself twice.

If you multiply a positive number by itself twice, you will get a positive number.

If you multiply a negative number by itself twice, you will get a positive number.

Therefore this is undefined or not a real number.

Rate as brainliest plz

Answer:

x + x + 1 + x + 2 + x + 3 = 4x + 6 = 342

4x = 336

x = 84

The third term is 84 + 2 = 86.

To find the third term in the sequence, we need to determine the first term and the common difference. By setting up and solving equations, we find that the first term is 84 and the common difference is 1. Therefore, the third term in the sequence is 86.

To find the third term in the sequence, we need to determine the first term and the common difference.

Let's assume the first term is 'x' and the common difference is 'd'.

The four consecutive integers can be represented as x, x + d, x + 2d, and x + 3d.

Since the sum of these four integers is 342, we have the equation:

x + (x + d) + (x + 2d) + (x + 3d) = 342

Simplifying this equation, we get:

4x + 6d = 342

Now, we have two variables and one equation, so we need another equation to solve for x and d.

We can use the fact that the integers are consecutive, so the common difference is always 1.

Plugging in the value of d = 1 in the previous equation, we get:

4x + 6(1) = 342

Simplifying further, we get:

4x + 6 = 342

4x = 336

x = 84

Therefore, the third term in the sequence is x + 2d = 84 + 2(1) = 86.

Answer:

66°

Step-by-step explanation:

Supplementary angles sum to 180°, thus

supplementary angle = 180° - 114° = 66°

Answer:

the answer is 2295

Step-by-step explanation:

of that doesn't work then put it in a calculator

Answer:

     35

+    48

     25

=    108

The smoothie shop sold a total of 108 smoothies.

To find the total number of smoothies sold, we add up the number of banana smoothies, strawberry smoothies, and orange smoothies. The smoothie shop sold 35 banana smoothies, 48 strawberry smoothies, and 25 orange smoothies. Therefore, the total number of smoothies sold is 35 + 48 + 25 = 108 smoothies.

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Answer:

It's the second choice.

Step-by-step explanation:

x + (x + 1) + (x + 2) = 30.

Solving for x will give you the smallest digit.

The equation x+(x+1)+(x+2) = 30 is used to find x.

The integers are 9, 10 & 11.

If a, b, c are integers, then the sum of three integers is a+b+c

Let, x be a integer.

Then other two consecutive integers are, x+1 & x+2

Sum of this three integers is x+(x+1)+(x+2)

According to the question,

Sum of this three integers is 30

So, the equation becomes, x+(x+1)+(x+2) = 30

Now, solving, x+x+1+x+2 = 30

                      ⇒ 3x+3 = 30

                      ⇒ 3x = 27

                      ⇒ x = 27/3 = 9

So, (x+1) = 9+1 = 10 & (x+2) = 9+2 = 11

Therefore, the three consecutive integers are 9, 10 & 11

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Answer:

the answer is 7 hope I could

Answer: 7 hours.

Step-by-step explanation:

Take the original amount (470) and subtract the $50 consulting fee. then divide the remaining amount by 60, as that is what she charges per hour. See the work done here:

470 - 50 = 420

420/60 = 7