can you guys solve 2 through 4? thanks, worth 40 points​

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:

[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]

Hey!

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Solution:

8 = 8/1

5 3/4 = 23/4

23/4 * 8/1 = 184/4

184/4 = 46

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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:

(x-3/4)(x+4)

any quadratic can be written as (x-root)(x-root) if you need standard form then multiply

Answer:

not me

Step-by-step explanation:

I am not from Connections Academy, but I am in Ohva.

The required solution is -63/4.

It is required to find the number.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Step 1: Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 17, so we write it as (X+17). The product is four times (X+17), so we write it as 4(X+17). Set it equal to 5, as per the question,

4(X+17)=5

Step 2: Divide both sides by 4

4(X+17)/4=5/4

X+17=5/4

Step 3: Isolate X by subtracting 17 from both sides

X= 5/4-17

X= 5/4- (17*4)/4

X= 5/4-68/4

X=-63/4

Therefore, the required solution is -63/4.

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Answer:

Step-by-step explanation:

p ∨ q : x < −3  or x > 3

Answer:

The expression is [tex]\$(27n+17)[/tex]

Step-by-step explanation:

The question is Simplify the expression and identify the units

we have

[tex]25n+0.08(25n)+17[/tex]

Find the product between 0.08 and 25n

[tex]0.08(25n)=2[/tex]

substitute

[tex]25n+2n+17[/tex]

Groups terms that contain the same variable

[tex](25n+2n)+17[/tex]

Combine like terms

[tex]27n+17[/tex]

The expression above represent the total cost

therefore

the unit is in dollars ($)

Answer:

the answer is 2295

Step-by-step explanation:

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

Answer:

He ran for 83.333 seconds before he was caught.

Hope this help.

Answer:

0.62

Step-by-step explanation:

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:

  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

Answer:

Step-by-step explanation:

Answer: D. The fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples.

Fungi is the primary decomposer of biological waste in forest ecosystem. Fungi grows on the branching network of hyphae which provide it more penetration potential towards the litter. Wood decaying fungi has enzymes required for decomposition of lignin, a chemical substance found in wood. Fungi decompose organic matter by releasing enzymes which breaks down the decaying matter, after that they absorb the nutrients in the decaying material. The left residue in the organic matter includes sugars and amino acids are degraded and decomposed by the bacteria.

Answer:

D) the fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples

Step-by-step explanation:

Answer:

Geometric

an=an-1₋(.25);a₁=192

an=192(.25)^n-1

7.32421875*10^−4

Step-by-step explanation:

Answer:

The sequence shown is geometric

Recursive function:

[tex]a_{n} = a_{n-1}\times r[/tex]

with [tex]a_1 = 192[/tex]          

Explicit function: [tex]a_n = 192 \times 0.25^{n-1} [/tex]

10th term: 0.000732421876

Step-by-step explanation:

In a geometric sequence the n+1 term divide by the n term is constant

48/192 = 0.25

12/48 = 0.25

3/12 = 0.25

From this result we can deduce the recursive function:

[tex]a_{n} = a_{n-1}\times r[/tex]

with [tex]a_1 = 192[/tex]          

Explicit function:

[tex]a_n = a \times r^{n-1} [/tex]

where a is the first term in the sequence (= 192) and r is the common ratio (= 0.25). Replacing:

[tex]a_n = 192 \times 0.25^{n-1} [/tex]

The 10th term is:

[tex]a_{10} = 192 \times 0.25^9 = 0.000732421876 [/tex]

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:

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:

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:

30 Pages.

Step-by-step explanation:

We know that there are 60 minutes in an hour, and that 3 goes into 60 20 times (3/60 = 20). Multiply 1 1/2 x 20, and that equals 30 pages.

You can also set it up in fraction form - multiply 1.5/3 times x/60. cross multiply and solve for x. in this case x = 30.

Answer:

0.4 miles

Step-by-step explanation:

Answer:just do 50 divided by 20

Step-by-step explanation:

50 divided by 20

Answer:

Step-by-step explanation:

30 meals

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:

It is rational.

Step-by-step explanation:

A rational number is a number that can also be written as a fraction or ratio. -9. 25 is also equal to -9 1/4. Therefore, it is rational.

Answer:

-9.25 is rational

Step-by-step explanation:

Answer:

[9, 13]

Step-by-step explanation:

{y = x + 4

{y = 2x - 5

Since we have two expressions set equal to y, use the Substitution Method:

[tex]x + 4 = 2x - 5[/tex]

-2x -2x

___________________

-x + 4 = -5

- 4 - 4

__________

-x = -9

x = 9 [Plug this back into both equations to get the y-coordinate of 13]; 13 = y

I am joyous to assist you anytime.

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

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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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:

     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:

40 and 0.5

Step-by-step explanation:

48 and 1/2 metres = 48.5 metres

1 and 1/5 metres = 1.2 metres

Take 48.5 and divide it by 1.2 and you will get 40.41666667...

Since the maximum whole number you can get is 40, you can cut 40 pieces of 1.2 metres of ribbon off.

Remainder = 48.5 - (40 x 1.2) = 0.5 metres left

The number of pieces of ribbon can be cut from roll is 40 and 0.5 m of ribbon left.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Karen had a roll of ribbon 48 1/2 m long.

= 48.5 m long

and, 1 and 1/5 m = 1.2 m

Now, the number of pieces of ribbon can be cut from roll is

= (48.5) / (1.2)

= 40.416

and, the amount of ribbon left

= 48.5 - (40 x 1.2)

=  0.5 m

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