Use the Distributive property to write an expression equivalent 5 times ( 3+4 ).

The answer is 51 remainder 4      because 51* 4 =408 and 412 + 4 = 412

Answer: 68

Step-by-step explanation:

LM   +    MN     =   LN

x + 7  + 3x + 20 = 6x - 5

            4x + 27 = 6x - 5

           -4x         -4x      

                    27 = 2x - 5

                     +5        +5

                    32  = 2x

                    ÷2   ÷2    

                     16 = x

MN: 3x + 20

       3(16) + 20

         48   + 20

               68

This question is based on a principle in Mathematics called the Midpoint of a linelineline

Based on this question, the line = LNLN

To solve this question, we have the expression

LM + MN = LN

Step 1

We solve for x

Given that: LN= 6x-5 , LM= x + 7 , and MN= 3x + 20

Hence,

x + 7 + 3x + 20 = 6x - 5

Collect like terms

7 + 20 + 5 =6x - x - 3x

32 = 2x

Divide both sides by the coefficient of x = 2

32/2 = 2x/2

x = 16

The value of x = 16

Step 2

Find MN

Given that : MN= 3x + 20 and x = 16

We substitute 16 for x in MN

MN = 3(16) + 20

MN = 48 + 20

MN = 68

Therefore, the value of MN is 68.

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Answer:

B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.

Statement B is true. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Equation 1;

-2x=14

Equation2;

6x=-42

Multiply equation 2 on both sides by -3.

-2x=14

-2x×3=14×3

6x= - 42

Because the second equation can be found by multiplying both sides of the first equation by 3, the equations have the same solution.

Hence, statement B is true

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Answer 1:

[tex]\frac{x^{2} -x+1}{x^{2} +x+1}[/tex]

Here given that, x is real that is the domain

Range of the given expression is :

[tex]\frac{1}{3} \leq y\leq 3[/tex]  

Write it interval form.

[tex][\frac{1}{3},3][/tex]       Option (2)

Answer 3:

[tex]\frac{11x^{2} +12x+6}{x^{2} +4x+2}[/tex]

Here domain is all real x.

Range is :

{y ∈ R : y ≤ -5 or y ≥ 3}

In interval form:

(-∞, -5] ∪ [3, ∞)

So, y can't lies between -5 to 3                Option (2)

Answer 5 :

[tex]\frac{x^{2} -3x+4}{x^{2} +3x+4}[/tex]

Here domain is :

x is real

And range is :

{y ∈ R : [tex]\frac{-1}{7}[/tex] ≤ y ≤ 7}

We see that maximum y value is 7.

So, maximum value is 7.                      Option (4)

Answer 6:

[tex]\sqrt{9x^{2}+6x+1 } < (2 -x)[/tex]

Solve for x .

Square both the side

9x² + 6x + 1 =  4 + x² - 4x

8x² + 10x - 3 < 0

(2x + 3)(4x - 1) < 0

2x + 3 = 0                           &                    4x - 1 = 0

x = [tex]\frac{-3}{2}[/tex]      &                    x = [tex]\frac{1}{4}[/tex]

So,

[tex]\frac{-3}{2} < x < \frac{1}{4}[/tex]

x ∈ [tex](-\frac{3}{2} , \frac{1}{4} )[/tex]                     Option (1)

let x be the price before the discount

If you get 12% off, then you only pay the remaining 88% (since 88%+12% = 100%). This means if you take 88% of the original price (x), then you get the final price (132)

In terms of an equation, we have,

88% of (original price) = final price

(88/100)*(x) = 132

0.88*x = 132

0.88*x/0.88 = 132/0.88 <--- divided both sides by 0.88

x = 150

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

Answer: The price without the discount is $150

You add up all of the sides and the numbers that are there you pretend that they are on the other side and just add all of them up correctly and you will get your answer.

You multiply them.

4 x 4 x 3 = 48

3 x 2 x 6 = 36

Answer:

the answer is 3x-5

Step-by-step explanation:

break the expression in to groups

3x^2 + 4x -15 =  (3x^2 -5x) + (9x-15)

factor out x from 3x^2 -5x: x(3x-5)

factor out 3 from 9x-15: 3(3x-5)

=x(3x-5) +3(3x-5)

factor out common terms

(x+3) (3x-5)

=((x+3) (3x-5)) / (x+3)

cancel the common factor x+3

=3x-5

The quotient for the expression is equal to 3x-5.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Break the expression into groups

3x² + 4x -15 =  (3x² -5x) + (9x-15)

Factor out x from 3x^2 -5x: x(3x-5)

Factor out 3 from 9x-15: 3(3x-5)

=x(3x-5) +3(3x-5)

Factor out common terms

(x+3) (3x-5)

=((x+3) (3x-5)) / (x+3)

Cancel the common factor x+3

=3x-5

Therefore, the quotient for the expression is equal to 3x-5.

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The solution for the given inequality is x ≥ 10.

An inequality is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression.  The solutions for inequalities can be given by: a graph in a number line or numbers.

Therefore, it is common to the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The question gives the inequality  2x+4 ≥ 24. Thus, you should follow the next steps.

2x+4 ≥ 24

2x ≥ 24 -4

2x ≥ 20

x ≥ 10

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To solve the inequality 2x+4≥24, subtract 4 from both sides, simplify the expression, divide both sides by 2, and simplify again. The solution is x≥10.

Let's solve the inequality 2x+4≥24. The first step is to isolate the term with x on one side. We can do this by subtracting 4 from both sides, which results in 2x ≥ 20. Next, we want to solve for x, so we divide both sides by 2: x ≥ 10. This means that x is greater than or equal to 10. lets solve step-by-step.

To solve the inequality 2x+4≥24, we need to isolate the variable x.

Step 1: Subtract 4 from both sides of the inequality: 2x+4-4≥24-4

Step 2: Simplify: 2x≥20

Step 3: Divide both sides of the inequality by 2: 2x/2≥20/2

Step 4: Simplify: x≥10

The solution to the inequality is x≥10. This means that any value of x that is greater than or equal to 10 satisfies the inequality.

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at this rate, he will have attempted 27 passes. we can find this by setting the problem up into a proportion: 10/18=15/?

once we solve the proportion, we get that he attempted 27 passes in order to complete 15

Final answer:

To solve for the number of passes the quarterback will attempt to complete 15 passes, we set up a proportion based on the completed 10 out of 18 passes. By cross-multiplying and solving for the unknown, we find that the quarterback would need to attempt 27 passes.

Explanation:

The question is asking us to find out how many passes the Rams' quarterback will attempt if he is to complete 15 passes, given that he completed 10 out of 18 passes in his last game. This is a proportion problem in mathematics where we set up a ratio of completed passes to attempted passes and solve for the unknown.

We know the quarterback completed 10 passes out of 18 attempts, so the ratio of completed to attempted passes is 10/18. If we want the quarterback to complete 15 passes, we can set up the proportion as:

10/18 = 15/x

where x represents the number of passes that the quarterback will attempt. To solve for x, we cross-multiply:

10(x) = 18(15)

x = (18(15))/10

x = 27

Therefore, the quarterback will have to attempt 27 passes to complete 15 passes at the same completion rate.

Answer:

B

Step-by-step explanation:

Edge

The minute hand is like an eight inch radius of a circle, whose circumference would equal 2 * PI * 8 = 50.265 inches.  By moving to 8 o'clock, it travels 2/3 of the circumference or 50.265 * 2/3 = 33.510 inches

if the minute hand is 8 inches long, it shows the radius of the circle of the clock.

thus, the circumference of the circle (boundary)= 2πr

= 2X 3.14 X 8    ( wherein, r= radius= 8; π= 22/7 or 3.14)

= 50.27 inches.

The length between each two consecutive no.s on the clock = 50.27/12 = 4.19

Thus, the length moved n=by the tip of the minute hand= 4.19X8

= 33.44 inches

Hope that this would be correct .

Answer:

every 20 days

Step-by-step explanation:

Number 3: D

Number 4: C

x= 5

Slove for x by simplifying both sides of the equation, then isolating the variable

Hey there!!

Given equation :

... 6 - 4x = 7x - 9x - 4

Combining like terms :

... 6 - 4x = - 2x - 4

Adding 4x on both sides :

... 6 = 2x - 4

Adding 4 on both sides :

... 2x = 10

Dividing by 2 on both sides :

... x = 5

Hence, the value of x is 5.

Hope my answer helps!!

Answer:

Likely

Step-by-step explanation:

The answer is likely, its really close to certain but certain is 100%. Likely is the odds are for it but not confirmed.

Answer:

Likely is the answer hope this helps

Step-by-step explanation:

Unclear question, have is have?

Jayson saves $98 per week because half of 196 is 98. (196 divided by 2 = 98)

The given pentagon can be divided into two figures : a triangle and rectangle as shown in figure.

Let us find area of each figure separately.

Triangle:

Area of triangle is given by:

[tex]A=\frac{1}{2}*b*h[/tex]

where b=base and h=height

Height of triangle :

h=(3x+5)-(2x+1)

h=x+4

Base = 2x-2

[tex]A=\frac{1}{2}*(x+4)(2x-2)[/tex]

Area of triangle= (x-1)(x+4) = x²+3x-4

Area of rectangle:

Area of rectangle is given by:

A=l*b

[tex]A=(2x-2)(2x+1)[/tex]

Area of rectangle = 4x²-2x-2

Area of pentagon = Area of triangle + Area of rectangle

Area of pentagon = x²+3x-4 + 4x²-2x-2

Area of pentagon = 5x²+x-6

If area of pentagon is 42 cm², then solving for x,

[tex]42=5x^{2}+x-6[/tex]

[tex]5x^{2}+x-48=0[/tex]

Factorising to get x,

x=-3.2 and x=3

If we take x as negative the side will be negative, so we neglect x=-3.2

So x=3 is the answer.

We complete the square,

[tex]y=x^2+4x+11[/tex]

[tex]y = (x^2 + 4x + 4) + 11- 4[/tex]

[tex]y = (x+2)^2 + 7[/tex]

Answer: D

The 30th term of this arithmetic sequence is 3.5 pounds. This represents the weight of the cat food bag after removing 0.5 pounds of food daily for 30 days.

The subject of this question is mathematics, particularly, a problem related to sequences. In this case, the sequence consists of gradually diminishing weights of a bag of cat food. Initially, the bag weighs 18 pounds and then 0.5 pounds are removed daily to feed the cats.

To find the weight of the bag on the 30th day (or, in other words, the 30th term of the sequence), you would subtract half a pound for each day that has passed. This is an arithmetic sequence, where each term can be found using the formula: an = a1 + (n - 1)*d, with a1 being the first term (18 pounds), d being the common difference (-0.5 pounds), and n being the term number (30).

Substituting the known values into the formula, we get: a30 = 18 + (30 - 1)*(-0.5) = 18 - 29*0.5 = 18 - 14.5 = 3.5 pounds.

Therefore, the 30th term is 3.5 pounds. This represents the weight of the cat food bag after 30 days of removing 0.5 pounds of food daily.

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To find the 30th term of the sequence representing the weight of cat food remaining each day, we can use a formula. The 30th term represents the weight of cat food remaining after 29 days of removing 0.5 pounds each day.

This question involves finding the 30th term of a sequence where 0.5 pounds of food is removed from an initial weight of 18 pounds every day. To find the 30th term, we can use the formula:

nth term = initial weight - (n-1) x rate of removal

Substituting the values, we have:

30th term = 18 - (30-1) x 0.5

= 18 - 29 x 0.5

= 18 - 14.5

= 3.5 pounds.

The 30th term represents the weight of cat food remaining after 29 days of removing 0.5 pounds each day.

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Answer:

Cash price using complement method id $882.8

Step-by-step explanation:

When a vendor includes terms of 4/10, n/30 , the '4' represents 4% of the amount owed , the '10' represents 10 days, the 'n' represents net and the '30' represents 30 days.

So the terms 4/10, n/30 indicate that the buyer may take an early discount of 4% of the amount owed is remitted in 10 days instead of normal 30 days.

In other words, buyer can choose any one of the following:

1) Pay within 10 days and deduct 4% of the net amount owed.

2)Pay in 30 days and take no discount.

For finding cash price using complement method, we have to find the complement of discount percentage= 100-discount percentage=100-4=96

So cash price using complement method = net price X complement of discount percentage in decimals

                                                                     = 919.6 X 0.96

                                                                     = $882.8

The chance of winning is 1/9

You can get 10 ft of ribbon for one dollar. What you need to do is divide 1 with .10 and you get 10 ft.

It seems like you may be missing some information, but:

[tex]Cost = .10x\\[/tex]

Where x is the number of feet.

Answer: A & B

Step-by-step explanation:

[tex]\sqrt{5} *\sqrt{5} = \sqrt{5*5} = \sqrt{25} = 5[/tex]

3.12 + (-8.5) = 11.62

Hello there!

Answer: ⇒⇒⇒⇒⇒-5.38

Step-by-step explanation:

First, remove parenthesis.

[tex]3.12-8.5[/tex]

Then, subtract by the number.

[tex]3.12-8.5=-5.38[/tex]

[tex]=-5.38[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a  great day!

-Charlie

The total cost for 53 people attending the school banquet is $1,665.

Given the parameter:

The cost of a school banquet is expressed as:

$75 + 30n, as n is the number of people attending.

To determine the cost for 53 people attending the school banquet, you can plug the value of n (which is 53) into the given cost function:

Cost = $75 + 30n

Plug in n = 53

Cost = $75 + 30( 53 )

Cost = $75 + 1590

Cost = $1,665

Therefore, the total cost will be $1,665.

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First you need to figure out the formula for the line - this can be done using two obvious measurements in the plot (x,y): namely (0,0) and (2,50). The linear function that goes through these two points is [tex]y = 25x[/tex].

Now you can determine k (the function value for x=1) and that is [tex]k = 25\cdot1=25[/tex]

The meaning of k: you can find 25 grams of almonds in 1 cup of oat. (btw, if we were to take this literally it wouldn't make much sense - 1 cup of oat is 1 cup of oat and there is nothing else, but anyway).

Using a linear function, it is found that the value of k is 25, which means that for 1 cup of oats, 25 grams of almonds are needed.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

In this problem:

[tex]m = \frac{50 - 0}{2 - 0} = 25[/tex]

The equation is:

[tex]y = 25x[/tex]

When x = 1:

[tex]k = 25(1) = 25[/tex]

The value of k is 25, which means that for 1 cup of oats, 25 grams of almonds are needed.

The point is labeled on the sketch of the graph given below.

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y2-y1 / x2-x1

1 + 11 / 1 + 3

12 / 4

3 is the slope

B and E with C and G