Solve the equation by factoring. 3z^2+3z-6=0

Answer: 6: 300 7: 20 9: 300 10: 800 12: 800 13: 700 15: 700 16: 700

Step-by-step explanation: Step 1: D for Divide. How many times will 5 go into 65?

Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5.

Step 3: S for Subtract. Next you subtract.

Step 4: B for Bring down.

Step 1: D for Divide.

Step 2: M for Multiply.

Step 3: S for Subtract.

The length of the shorter side [tex]\( x \)[/tex] is 20 cm.

The length of each shorter side labelled [tex]\( x \)[/tex] in the hexagon is 20 cm. Here's the step-wise calculation:

1. Let [tex]\( x \)[/tex] represent the length of the shorter side.

2. The length of each longer side is given as [tex]\( 1 \)[/tex] cm more than twice a shorter side, so it is [tex]\( 2x + 1 \)[/tex] cm.

3. The perimeter of the hexagon is the sum of the lengths of all its sides, which is given as [tex]\( 162 \)[/tex] cm.

4. Since the hexagon has four shorter sides and two longer sides, the perimeter [tex]\( P \)[/tex] can be expressed as:

  [tex]\[ P = 4x + 2(2x + 1) \][/tex]

5. Plugging in the given perimeter value and simplifying the equation:

  [tex]\[ 162 = 4x + 4x + 2 \][/tex]

  [tex]\[ 162 = 8x + 2 \][/tex]

6. Solving for [tex]\( x \)[/tex] gives:

  [tex]\[ 160 = 8x \][/tex]

  [tex]\[ x = \frac{160}{8} \][/tex]

  [tex]\[ x = 20 \][/tex]

Therefore, the length of the shorter side [tex]\( x \)[/tex] is 20 cm.

Answer:

Hope this helps. ARE NOT

Step-by-step explanation:

Answer:

x=3

y=12

Step-by-step explanation:

The total number of questions in the exam will be 30 questions.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A student answers 90% of the questions on the math exam correctly. If he answers 27 questions correctly.

Let the total question in the exam be 'x'. Then the total number of questions in the exam is calculated as,

90% of x = 27

0.90 x = 27

x = 27 / 0.90

x = 30

The total number of questions in the exam will be 30 questions.

More about the percentage link is given below.

https://brainly.com/question/8011401

$SPJ2

Answer:

After subtracting 247 from 538, we will get 291.

Step-by-step explanation:

We are asked to subtract 247 from 538.

Convert in a subtraction problem:

  538

 -247

Now, we will subtract each digit in the lower line from upper line as:

  538

 -247

   291

Therefore, the answer to our given problem would be 291.

pacey = x

alex = 2x

paul = 3x

x + 2x + 3x = 342

6x =342

x = 342 / 6

x = 57

Pacey's fish = 57 pounds

Alex's fish = 57*2 = 114 pounds

Pauls fish = 57*3 = 171 pounds

Final answer:

To solve the equation 6 x 4.4 with the distributive property, multiply 6 by each part of 4.4 (which is divided into 4 and 0.4) separately and then add the results together. This yields 24 + 2.4, which equals 26.4.

Explanation:

To solve the multiplication problem 6 x 4.4 using the distributive property, we can break down the number 4.4 into 4 and 0.4. Then we distribute the multiplication over these two addends separately.

This can be written as:

6 x (4 + 0.4) = (6 x 4) + (6 x 0.4)

Next, we solve each part of the equation:

6 x 4 = 24

6 x 0.4 = 2.4

Finally, we combine these two results to get the final answer:

24 + 2.4 = 26.4

Thus, 6 multiplied by 4.4 equals 26.4.

Answer:

Alicia will travel 671 miles in 11 hours

Step-by-step explanation:

Alicia traveled 183 miles in 3 hours.

in 1 hour Alicia will travel=[tex]\dfrac{183}{3}[/tex]

                                        =61 miles

Hence, in 11 hours Alicia will travel=61×11 miles

                                                        = 671 miles

Hence, Alicia will travel 671 miles in 11 hours

5 x 4 +1 = 20+1 = 21 this does not equal 25

3 +7*2 = 3+14 = 17 this is true

so 3+7x2 = 17 is the true statement

Graphing the solution sets to inequalities involves using open or closed circles to represent non-inclusive or inclusive endpoints and shading the number line to indicate the direction of the inequality.

To graph the solution sets to the inequalities on number lines, we need to understand and apply the concepts of inequalities and number line graphing. If an inequality has a 'less than' (<) or a 'greater than' (>) symbol, we use an open circle on the number line to indicate that the endpoint is not included in the solution. Conversely, if an inequality includes 'less than or equal to' (\u2264) or 'greater than or equal to' (\u2265), we use a closed circle to show that the endpoint is part of the solution set. The inequality symbol will also determine the direction in which we shade the number line: to the left for 'less than' and to the right for 'greater than'.

For example, if we have an inequality x > 3, we place an open circle at 3 and shade the number line to the right of 3, indicating all numbers greater than 3 are included in the solution set. If the inequality is x \u2265 5, we place a closed circle at 5 and shade to the right, including 5 and all numbers greater than it. Similarly, with x < -2, an open circle would be placed at -2 and the line shaded to the left. Lastly, for x \u2264 -4, a closed circle at -4 with the line shaded to the left indicates the solution set.

To find the volume of a pipe, use the formula V = Ah where A is the cross-sectional area and h is the height of the pipe. Substituting the values given, the volume of the pipe is 826.805 cm³.

The volume of the pipe can be calculated using the formula V = Ah, where A is the cross-sectional area and h is the height of the pipe. In this case, the cross-sectional area can be found using the formula for the area of a circle, A = πr². Given that the pipe has a diameter of 9 cm, the radius (r) is half of the diameter, which is 4.5 cm.

Substitute the values into the formulas to find the volume: A = π(4.5 cm)² = 3.142 x 20.25 cm² = 63.585 cm². Now, calculate the volume using V = 63.585 cm² x 13 cm = 826.805 cm³.

Answer:

transaction 3 (account balance) = 143

transaction 4 (account balance) = -86

transaction 5 (transaction amount) = 86

Step-by-step explanation:

From the table it is seen that after transactions the account balance either increases or decreases.

Transaction 1

transaction amount was 200 while account balance became 200

Transaction 2

the initial startup balance will be = transaction amount + current account balance  which is = 147 + 53 = 200 .

Note: the account balance of the previous transaction becomes the initial account balance of the next transaction

Transaction 3

account balance = initial account balance + transaction amount

                            = 53 + 90 = 143

Transaction 4

account balance = initial account balance + transaction amount

                            = 143 + ( - 229 ) = - 86

Transaction 5

transaction amount = account balance - initial account balance

                                 = 0 - ( -86 ) = 86

The account balance after transaction 3 is 143

The account balance after transaction 4 is -86

Transaction amount of transaction 5 is 0

When money is withdrawn from an account, a debit transaction occurs, it is represented with a negative sign. When money is deposited from an account, a credit transaction occurs, it is represented with a positive sign.

What is the value of the missing numbers?

To learn more about addition, please check: https://brainly.com/question/19628082

Answer:

-2

Step-by-step explanation:

-2 is indeed correct, props to my man above me that did all that hard work.