1. Solve for x.x + 11 = 3
-11
-11
x=- 8
2. Solve for x.
x + 5 = 11
25-5
*=6)
3. Solve for z.
2-33 = 40
+33 +33
(2
=

7
4. Solve for x.
- 8x = 56

Answers

Answer 1
Answer:

Answer:

for #4 x=-7

Step-by-step explanation:

a negative times a negative is a positive and 8 times 7 = 56


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Find the gradient of the line segment between the points (-8,6) and (-10,14)

Answers

The required gradient of the line between the points (-8,6) and (-10,14) is -4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The gradient of the line segment between points (-8,6) and (-10,14) is given as,

The gradient of the line = slope of the line,
m = (y₂ - y₁) /  (x₂ - x₁)

Substitute the value in the above equation,
m = 14- 6 / -10 + 8
m = 8 / -2
m = -4

Thus, the required gradient of the line between the points (-8,6) and (-10,14) is -4.

Learn more about slopes here:
brainly.com/question/3605446

#SPJ5

Answer:

-4

Step-by-step explanation:

14 - 6 = 8

-10 - - 8 = - 2

8 / - 2 = - 4

multiply or divide and then simplify

(x+1)^2/(x-5)*(x-3)/(x+1)

3x+3/2 divided by 4/9x+9

4a/3a-3*3(a-1)/16a

x+2/x-1 divided by 5x+10/x-2

Answers

((x+1)^2)/(x-5)\cdot(x-3)/(x+1)=(x+1)/(x-5)\cdot(x-3)/(1)=((x+1)(x-3))/(x-5)=(x^2-3x+x-3)/(x-5)=(x^2-2x-3)/(x-5)\n\nD:x\neq5\ \wedge\ x\neq-1


(3x+3)/(2):(4)/(9x+9)=(3x+3)/(2)\cdot(9x+9)/(4)=(27x^2+27x+27x+27)/(8)=(27x^2+54x+27)/(8)\n\nD:x\neq1


(4a)/(3a-3)\cdot(3(a-1))/(16a)=(1)/(3a-3)\cdot(3a-3)/(4a)=(1)/(4a)\n\nD:a\neq1\ \wedge\ a\neq0


(x+2)/(x-1):(5x+10)/(x-2)=(x+2)/(x-1)\cdot(x-2)/(5x+10)=(x+2)/(x-1)\cdot(x-2)/(5(x+2))=(1)/(x-1)\cdot(x-2)/(5)=(x-2)/(5x-5)\n\nD:x\neq1\ \wedge\ x\neq2\ \wedge\ x\neq-2

What is −3/8 as a decimal and as a percent?

Answers

To find a fraction as a decimal you would divide the denominator by the numerator.

Decimal:
-3/8 = -.375

Then for the percentage you would move the decimal two places to the right.

Percentage:
-37.5 (Since the number to the right isn't a zero we can't drop it) therefore the percentage would be -37.5%

3. Laura walks 3/5 mile to school each day. Isaiah walk to school is 3 times as long as Laura's. Howfar does Isaiah walk to school each day?

Answers

Lets write down what we know...

Laura walks 3/5 mile to school everyday

Laura=3/5mile

Isaiah's walk is 3 times as long as Lauras, so

Isaiah=Laura*3

We know how far Lauras walk is so we can solve for Isaiah's walk

Isaiah=3/5*3 (or Isaiah=3/5+3/5+3/5 if thats easier for you to solve for)
Isaiah=9/5 miles

Now we know the answer! Great, Isaiah walks 9/5 miles to school each day. But 9/5 is an improper fraction, so lets convert it to a mixed number.

9/5=

To solve for this, we have to find out how many times 5 can go into 9. 5 goes into 9 one time with a remainder of 4, so we can write the mixed number as.

9/5= 1 4/5

Isaiah walks 9/5miles or 1 4/5 miles. Both are correct.
In this question, it is important to understand the words of the problem and then note down the details already provided in the problem. This will make the solving of this problem easier.Now coming to the details already given.
Distance walked by Laura to reach school each day = 3/5 mile
Distance walked by Isaiah to reach school is 3 times that of Laura and it is already given in the question.
Then
The distance walked by Isaiah to reach school each day = (3/5) * 3
                                                                                           = 9/5
                                                                                           = 1 4/5
So Isaiah walks a distance of 1 4/5 miles each day for reaching school. I hope that the procedure of doing such problems is clear to you and yiou can attempt such problems in future without needing any help.

For exercices 45-50, between which two benchmarks ( Of 0, 1/2,1 1/2) does each fraction fall? Tell which is the nearer benchmark.45. 3/5
46. 1 2/6
47. 12/10
48. 2/18
49. 1 8/10
50. 1 12/15

Answers

45. 3/5 is nearer to 1/2
46. 1 2/6 is nearer to 1 1/2. 1 2/6 can be simplified to 1 1/3
47. 12/10 is nearer to 1 1/2. 12/10 can be simplified to 1 2/10 and further simplified to 1 1/5.
48. 2/18 is nearer to 0. 2/18 can be simplified to 1/9 or 0.11
49. 1 8/10 is nearer to 1 1/2. 1 8/10 can be simplified to 1 4/5
50. 1 12/15 is nearer to 1 1/2. 1 12/15 can be simplified to 1 4/5.
3/5 is closer to 1/2
1 2/6 is closer to 1 1/2. 1 2/6 is equivalent to 1 1/3
12/10 is closer to 1 1/2. 12/10 is equivalent to 1 1/5.
2/18 is closer to 0. 2/18 can be simplified to 1/9 or 0.11
1 8/10 is closer to 1 1/2. 1 8/10 is equivalent to 1 4/5
1 12/15 is closer to 1 1/2. 1 12/15 is equivalent to 1 4/5
I hope this helps you

along with the flowers , samantha bought 4 packages of glass beads and 2 vases . the vases cost $3.59 each and the total sales tax was $1.34. the total amount she paid was $28.50, including the tax.explain a stragety she could use to find the cost of 1 package of glass beads.

Answers

Samanthabough 4 packages of glass beads and 2 vases along with the flowers.
=> Vases costs = 3.59 dollars each
=> each total of sales tax = 1.34 dollars each
The total amount she paidis 28.50 dollars including the tax.
Simply add the price of vase and sales tax each then add.
=> 3.59 + 1.34 = 4.93
=> 4.93 * 2 = 9.86 (times 2 because there are 2 vases)
Now, subtract this with the total amount she paid.
=> 28.50 – 9.86 = 18.64
Since there are 4 glass beads, divide this by 4
=> 18.64 / 4 = 4.66 , the price of glass beads with tax.