MATHEMATICS MIDDLE SCHOOL

Sam solved the following problem:-4x + 5 > 29
-4x + 5 - 5 > 29 - 5
-4x > -24
-4x/-4 > -24/-4
x > 6

What were his two mistakes?

Answers

Answer 1
Answer:

Answer:

-4x > 24

x< 6

Step-by-step explanation:

-4x + 5 > 29

-4x + 5 - 5 > 29 - 5  (subtracted 5 on both sides)

To remove +5, Sam subtracted 5 on both sides. but 29-5 is 24

we always put the sign of greatest number . so its positive

-4x > 24 is correct

-4x/-4 > 24/-4

Dividing both sides by -4 is correct. But when we divide by negative number we need to flip the inequality sign . so > becomes <

x < 6

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What is the answer to 6x-4=-4+6x​

Answers

Answer:

x=0

Step-by-step explanation:

6x -4= -4 +6x

-6x -6x. -Cancel out the variable

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-4= -4

+4= +4. -Cancel out the number

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x=0

Sally's cat is stuck in a tree 18 ft off the ground. The base of a ladder is placed 6 feet away from the base of the tree. What is the minimum length ladder needed to reach the cat (rounded to the nearest foot)?

Answers

The ladder at least needs to be 24 ft long
Inthink it's -18 if I ain't mistaken

The sales tax on a $350 computer is $22.75. Find the sales tax rate.

Answers

To find the tax rate when given the initial price of an object and the final tax value, you use the equation: $350 * X = $22.75 (where X is the sales tax rate). Then solve:
$22.75/$350 = .065

So the rate is 6.5%

0.60Answer:

Step-by-step explanation:

How do you solve this?

Answers

Solve\ x^4-13x^2=-36.

View this equation as a quadratic like so:
x^2(x^2)-13x(x)+36=0

We can factor just like a normal quadartic!
We want two numbers that multiply to 36x² and add to -13x.
These numbers are -9x and -4x.
Because our leading coefficient is 1, we can factor straight to (x²-4)(x²-9).
Here's what it would look like if we split the middle and factored:
x^4-9x^2-4x^2+36=0\nx^2(x^2-9)-4(x^2-9)=0\n(x^2-4)(x^2-9)=0

Of course, any value which causes either factor to equal zero is a solution.
The other factor times zero is still going to be zero, of course.
Let's derive these two possibilities from our equation.
x^2-4=0,\ or\ x^2-9=0
We can add that constant to the right side...
x^2=4,\ or\ x^2=9
And take the square root of each side.
\boxed{x=\pm2\ or\ \pm3}

So, your possible x values are
2, -2, 3, and -3.
x⁴-13x²+36
(x²-4)(x²-9)



x²=4. | x²=9
x=√4. |x=√9
x=2. |x=3




27x³-8=0
x³=8/27
x=2/3





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The sum of 8 and 7 , doubled

Answers

When you're talking about sums, that means you are adding. So, you do 8+7=15. The sum of it being doubled, you say? 15x2=30, or 15+15=30. Hope this helped :)
Here is a hint, "sum" is adding up therefore, the question is asking "The number of 8 + 7, then multiplied by 2. 8+7x2 = 30

A rectangular garden is 8 feet long and 4 feet wide. A second rectangular garden has dimensions that are 54 the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?ftyrt

Answers

We have the perimeter of first dimension 2(8 + 4) = 24;
The perimeter of the second dimension is 2( 8 + 54 + 4 + 54 ) = 240
We calculate p/100 = 24/240;
Then p/100 = 1/10;
p = 100/10;
p = 10;
Finally, 10% is the answer.
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