| 4x +2|=10 confirm your solution using a graph or table

Answer:

-6

Step-by-step explanation:

7x +4=3x-20

4x=-24

x= -6

The given problem can be translated into the equation 7x + 4 = 3x - 20. By solving this equation, we find out that the number x is -6.

In this mathematical problem, we can define the number we are looking for as x. Based on the problem, we have the equation 7x + 4 = 3x - 20. This equation comes from the problem statement that 'four more than seven times a number is the same as twenty less than three times the number'.

Next, we can solve for x by subtracting 3x from both sides to get 4x + 4 = -20. Then, to isolate x, we subtract 4 from both sides to get 4x = -24. Finally, we divide by 4 on both sides and find that x = -6, which is the solution.

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Answer:

15/2

Step-by-step explanation:

2x+3=18

2x=18-3

2x=15

x=15/2

The force exerted on victim is 20 newton

Solution:

An attacker swings a board with a mass of 2 kg toward a victim

The acceleration is 10 [tex]m/s^2[/tex] when the board hits the victim

To find: Force exerted on victim

The force is given by formula:

[tex]F = mass \times acceleration[/tex]

From given,

[tex]mass = 2 \text{ kg }\\\\Acceleration = 10[/tex] [tex]m/s^2[/tex]

Substituting the values in formula,

[tex]Force = 2 \times 10 = 20[/tex]

Thus force exerted on victim is 20 newton

A mass of 2 kg and an acceleration of 10 m/s², the force is calculated to be 20 Newtons.

To determine the force exerted by the board on the victim, we can use Newton's second law of motion, which states:

⇒ Force (F) = Mass (m) x Acceleration (a)

Given that the mass of the board is 2 kg and the acceleration when it hits the victim is 10 m/s², we substitute these values into the equation:

⇒ F = 2 kg x 10 m/s²

⇒ F = 20 N

Thus, the board exerts a force of 20 Newtons on the victim.

Complete question:

An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s² when the board hits the victim. How much force did the board exert on the victim?

Answer:

3

Step-by-step explanation:

3 times 3 is 9

1/3 of 3 is 1

add them to get 10

Answer:

3

Step-by-step explanation:

[tex]3x \times \frac{1}{3} x = 10 \\ \frac{10}{3} x = 10 \\ 10x = 30 \\ x = 3[/tex]

x-wanted number

Answer:109

Step-by-step explanation:

The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given statement; 8 less than 5 times a number

We know that the 8 is less than 5 times a number So, we first put 8 <.

From the given, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.

Thus, the inequality;

8< 5x

Hence, The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.

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Answer:

59 in2

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of rectangle plus the area of two triangles

so

Find the area of rectangle

[tex]A_1=LW[/tex]

we have

[tex]L=7\ in\\W=4\ in[/tex]

substitute

[tex]A_1=(7)(4)=28\ in^2[/tex]

Find the area of triangle with height of 6 in

[tex]A=\frac{1}{2}bh[/tex]

we have

[tex]b=7\ in\\h=6\ in[/tex]

substitute

[tex]A_2=\frac{1}{2}(7)(6)=21\ in^2[/tex]

Find the area of triangle with height of 5 in

[tex]A=\frac{1}{2}bh[/tex]

we have

[tex]b=4\ in\\h=5\ in[/tex]

substitute

[tex]A_3=\frac{1}{2}(4)(5)=10\ in^2[/tex]

The total area is

[tex]A=A_1+A_2+A_3=28+21+10=59\ in^2[/tex]

Answer:

The answer is 59 in2

Step-by-step explanation:

75,000

Explanation:

This results in getting the answer 75,000.

Answer:

The answer is 75,000

Step-by-step explanation:

To work this out you need to put a line after the thousand like this 75|218 Then if the numer after is 5 or above you round the number up eg 75|818 Would round to 76000

The value of [tex]\log_5{125}[/tex] is 3.

Solution:

Step 1: Given expression is [tex]log_5{125}[/tex].

125 can be expressed as [tex]5^3.[/tex]

[tex]\log_5{125}=\log_5{5}^3[/tex]

Step 2: Using log rule: [tex]\log_a{x^b}=b\log_a{x}[/tex]

 [tex]\log_5{5}^3=3\log_5{5}[/tex]

Step 3: Using log rule: [tex]\log_a{a}=1[/tex]

[tex]\log_5{5}= 1[/tex]

⇒ [tex]3\log_5{5}= 3(1)[/tex]

⇒ [tex]3\log_5{5}= 3[/tex]

∴ [tex]\log_5{125}=3[/tex]

Hence the value of [tex]\log_5{125}[/tex] is 3.

Answer:

The pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]

Step-by-step explanation:

We can see the given pairs have the same ratio.

Let us find the ratio of pair [tex](8,20)[/tex]

So, the common ratio is  [tex]\frac{8}{20}=\frac{2}{5}[/tex]

Now, we will check each pair, Let the missing number be [tex]x[/tex]

Case-I

[tex](x,5)\\\frac{x}{5}=\frac{2}{5}\\ x=2[/tex]   So,the  pair is [tex](2,5)[/tex]

Case-II

[tex](4,x)[/tex]

[tex]\frac{4}{x}=\frac{2}{5}\\\\\frac{4}{x}=\frac{2\times 2}{5\times 2}=\frac{4}{10}\\ x=10[/tex]So, the pair is [tex](4,10)[/tex]

Case-III

[tex](6,x)[/tex]

[tex]\frac{6}{x}=\frac{2}{5}\\\\\frac{6}{x}=\frac{2\times 3}{5\times 3}=\frac{6}{15}\\x=15[/tex]So, the pair is [tex](6,15)[/tex]

Now, the required pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]

Answer:

3 pounds duh

Step-by-step explanation:

Answer: 3 pounds

Step-by-step explanation: 16 oz are in 1 pound and 1 pound times 3 = 3 pounds and 16 times 3 equals 48 and the pack weighs 45 oz therefore 3 pounds is heavier by 3 oz

Answer: 2 and 4/5

Explanation: To subtract mixed numbers, first subtract the fractions. Notice here however that we have 2/5 - 3/5 which will give us a negative fraction. Since this will cause us a lot of trouble, instead, let's rewrite the first mixed number.

We can do this by thinking of 8 and 2/5 as 7 + 1 and 2/5 or 7 + 7/5 by changing 1 and 2/5 to the improper fraction 7/5. So 8 and 2/5 can be written as 7 and 7/5.

So we have 7 and 7/5 - 5 and 3/5.

Now, subtract the fractions. So we have 7/5 - 3/5 which is 4/5. Then subtract the whole numbers so we have 8 - 5 which is 2.

2 and 4/5 is in lowest terms so 8 and 2/5 - 5 and 3/5 is 2 and 4/5.

Answer:

[tex]g(x)=-4(\frac{1}{2})^x[/tex]

Step-by-step explanation:

Given:

The parent function is given as:

[tex]f(x)=4(\frac{1}{2})^x[/tex]

The function [tex]g(x)[/tex] is a reflection of the parent function about the x-axis.

Now, in order to find the function g(x), we need to use the rules of function transformations.

As per transformation rules, when a function is reflected about the x-axis, the function rule is given as:

[tex]f(x)\to-f(x)[/tex]

So, the new function or the reflected function is the negative of the original function.

Therefore, the reflected function [tex]g(x)[/tex] is given as:

[tex]g(x)=-f(x)\\\\g(x)=-4(\frac{1}{2})^x[/tex]

Hence, the function that represents the reflection of the given function across the x-axis is [tex]g(x)=-4(\frac{1}{2})^x[/tex]

Answer:

$3.90 is the answer.

Step-by-step explanation:

9.75 ÷ 2.5 = 39/10 (3.9).

To check do 3.9 × 2.5 = 9.75.

Final answer:

To determine the price per pound of chocolate covered peanuts, divide the total cost ($9.75) by the total weight (2.5 pounds), resulting in $3.90 per pound.

Explanation:

The question asks to calculate the price per pound of chocolate covered peanuts Roman purchased.

Here is a step-by-step explanation:

First, it is important to take note of the total weight of the chocolate covered peanuts, which is 2 1/2 pounds or 2.5 pounds.

Next, we look at the total price paid for the 2.5 pounds, which is $9.75.

To find the price per pound, divide the total price by the total weight: $9.75 ÷ 2.5 pounds.

The price per pound turns out to be $3.90.

Therefore, the price per pound of the chocolate covered peanuts is $3.90.

Answer:4 out of 19

Step-by-step explanation:

you add them all and then say 4 because that is  yellows amount of marbles

Answer:

8

Step-by-step explanation:

set 7x-6 = 12-2x because midpoint segments are equal to each other than solve

9x-6=12

9x=18

x=2

then substitute in values.

B is the midpoint of AC. Using this information, we can set up an equation to solve for AB. After solving for x, we substitute the value back into the equation to find AB. The length of AB is 8 units.

We are given that B is the midpoint of AC. This means that the lengths AB and BC are equal. We can set up an equation to solve for AB.

AB = BC

7x-6 = 12-2x

Now we can solve for x and then find AB.

Bring like terms together:

7x + 2x = 12 + 6

9x = 18

Divide both sides by 9:

x = 2

Now substitute the value of x back into the equation for AB:

AB = 7(2) - 6

AB = 14 - 6

AB = 8

Therefore, AB is equal to 8 units.

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Answer:

48

Step-by-step explanation:

After 24 hours, Ms. Plumlee makes 288 brownies and Ms. Sed makes 240 brownies.

The mathematics problem involves calculating the total number of brownies made by Ms. Plumlee and Ms. Sed. Ms. Plumlee makes 12 brownies per hour, and Ms. Sed makes 10 brownies per hour. We need to find out the number of brownies each of them makes after 24 hours.

For Ms. Plumlee: 12 brownies per hour x 24 hours = 288 brownies.

For Ms. Sed: 10 brownies per hour x 24 hours = 240 brownies.

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Answer:

26.25 feets

Step-by-step explanation:

Given:

Each headbands requires 1 7/8 feets fabric

Dedra has to  make 14 headbands .

Question asked:

how much fabric will she need  to make 14 headbands = ?

Solution:

By applying unitary method :

Length of fabric require to make a headband = [tex]1\frac{7}{8}[/tex]

                                                                           = [tex]\frac{15}{8}[/tex]

Length of fabric require to make 14 headbands = [tex]14\times\frac{15}{8}[/tex]

                                                                                = [tex]\frac{210}{8}[/tex]

                                                                                = [tex]26.25 feets[/tex]

Therefore, Dedra needs 26.25 feets fabric to make 14 headbands.

The answer is [tex](f+g)(x)=10x-5[/tex]

Step-by-step explanation:

Given that [tex]f(x)=2x+5x[/tex] and [tex]g(x)=3x-5[/tex]

To find : [tex](f+g)(x)[/tex]

Now, assign the value [tex]g(x)=3x-5[/tex] in [tex](f+g)(x)[/tex]

[tex](f+g)(x)=(f+3x-5)[/tex]

Also, assign the value [tex]f(x)=2x+5x[/tex] in [tex](f+g)(x)[/tex]

[tex](f+g)(x)=(2x+5x+3x-5)[/tex]

Now, adding the like terms , we get,

[tex](f+g)(x)=10x-5[/tex]

Thus, the value of [tex](f+g)(x)[/tex] is [tex](f+g)(x)=10x-5[/tex]

Answer:

[tex]10x-5[/tex]

Step-by-step explanation:

[tex]f(x)=2x+5x[/tex]

[tex]g(x)=3x-5[/tex]

[tex](f+g)(x)[/tex]

[tex]f(x)+g(x)[/tex]

[tex]2x+5x+3x-5[/tex]

[tex]10x-5[/tex]

Answer:

C. y - 7 = -13(x -  5)  

Step-by-step explanation:

The point-slope equation for a straight line is

y - y₁ = m(x - x₁)

where m is the slope and(x₁, y₁) is a point on the line.

If m = -13 and  (5, 7) is the point, the equation is

y - 7 = -13(x -  5)

You will receive 0.75 euros for 1 U.S dollar.

In this currency exchange, you receive 6 euros for every 8 U.S dollars. To find out how many euros you will receive for 1 U.S dollar, you can set up a proportion.

Let x represent the number of euros you will receive for 1 U.S dollar. The proportion can be set up as follows: 8 U.S dollars / 6 euros = 1 U.S dollar / x euros.

Now, cross-multiply and solve for x: 8x = 6 * 1. Divide both sides by 8 to isolate x, and you will find that x = 0.75 euros.

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Answer:

Step-by-step explanation:

5*743=(5*700)+(5*40)+(5*3)

Answer:

Supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

VSW and TSW combine and make 180. Complementary is when they make up to 90

Answer:

6 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to find the Least common Multiple of 1,2,3

LCM (1,2,3) = 6

Answer:

12x^3 - 4x^2 + 15x -5

Answer:

yes, the remainder is 6.

Step-by-step explanation:

the remainder is how many is left over if the divisor doesn't go perfectly into the dividend.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The remainder of the division $35,286 by 7 using long division is 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

$35,286 ÷ 7

Now,

7) 35286 ( 540

  -35      

       286

     -280

            6

7 x 5 = 35

7 x 40 = 280

We see that,

Using long division,

The remainder is 6.

Thus,

The remainder of the division $35,286 by 7 using long division is 6.

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The total cost to rent the Kayak will be $50.50

Step-by-step explanation:

Let h be the number of hours

Given

Charges per hour = $8.50

Renting Charges = $25.00

The renting charges are constant and will be used only once while the per hour charges will be calculated as number of hours change.

The function will be written as:

[tex]f(h) = 8.50h +25.00[/tex]

Here h is the number of hours.

From 11:30 AM to 02:30 PM makes three hours. So, to find the cost for 3 hours we have to put h = 3

[tex]f(h) = 8.5(3) + 25.00\\= 25.5+25.00\\= 50.5[/tex]

Hence,

The total cost to rent the Kayak will be $50.50

Keywords: Linear functions,, slope

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The number of miles Mr Miller drive was 973 miles.

Step-by-step explanation:

Given,

Miles driven on first week = 568 miles

Miles driven on Tuesday this week = 308 miles

Miles driven on Wednesday this week = 97 miles

Total miles driven = Miles in first week + Miles on Tuesday + Miles on Wednesday

Total miles driven = 568 + 308 + 97 = 973 miles

The number of miles Mr Miller drive was 973 miles.

Keywords: addition

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Answer:

see explanation

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 )

Rearrange - 7x + 9y = 18 into this form

Add 7x to both sides

9y = 7x + 18 ( divide all terms by 9 )

y = [tex]\frac{7}{9}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{7}{9}[/tex] and y- intercept c = 2

54+9= 63 m = distance and time=35 sec hence, speed= 63/35=9/5=1.8 m/s

time taken to reach water surface= distance/speed=54/1.8=30 sec

Answer:

VERTICAL LINES

Step-by-step explanation: