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Answer:

  D.  9

Step-by-step explanation:

The segment lengths are equal, so ...

  x^2 = 90-x

  x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form

  (x +10)(x -9) = 0 . . . . . factor

The solutions are the values of x that make the factors zero: -10, 9.

The positive value of x is 9.

1. Convert fraction into same decimal.

To find this answer, we want to first convert the fraction so that the denominators are the same:

3/4 = ?/8

Divide the original denominator by the needed-to-be denominator.

8 / 4 = 2

Do reversal calculations

4 x 2 = 8

So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.

3           6

_  x 2 = _

4           8

So now, the new equation is:

How many 1/8 teaspoons are equal to 4 6/8 teaspoons.

(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.

2. Convert the whole numbers into a fraction to make it easier.

In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.

?/8

Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.

8/8 = 1

Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.

32/8 = 4

3. Add all your information together.

DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.

32 / 8 + 6 / 8 = ?

32 / 8 + 6 / 8 = 38 / 8

Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.

Now, all you need to do is look at the numeriator.

What number do you see?

You see 38.

The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.

So, how many 1/8 are in 38/8?

38!

The number of ⅛ teaspoons will equal 4¾ teaspoons is; 38 teaspoons

We want to find how many ⅛ teaspoons will equal 4¾ teaspoons.

To start with, let us convert 4¾ teaspoons from mixed fraction to improper fraction to get;

4¾ teaspoons = 19/4 teaspoons

Now to find out how many ⅛ teaspoons will equal 19/4 teaspoons, all we need to do is to divide 19/4 by ⅛

Thus;

19/4 ÷ 1/8

>> 19/4 × 8/1

>> 38 teaspoons

In conclusion the number of ⅛ teaspoons that are equal to 4¾ teaspoons is 38 teaspoons.

Read more about division of fractions at; https://brainly.com/question/1622425

Answer is : y= -x + 5

Answer:

y=-x+5

Step-by-step explanation:

have a great day :))))

Answer:

that's easy

Step-by-step explanation:

first we should check the 5 cm in scale .

Then we can easily draw 5 cm in side and diagonal.

hope it's clear to you.

Answer: The answer would be $20, because 20% 5 times is 100% and 4 times 5 is 20

Answer:

23.26

Step-by-step explanation:

I hope is helps and I hope you get right but I tried at least.

Answer:

23.26

Step-by-step explanation:

A simple search on rounding calculator and i took the k-12 test and got it right

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3x-24=81[/tex]

Collect like terms and simplify

[tex]3x=81+24\\\\3x = 105[/tex]

Divide both sides of the equation by 3

[tex]\frac{3x}{3} = \frac{105}{3} \\\\Simplify\\\\x = 35[/tex]

Answer:

6

Step-by-step explanation:

x = 6

12x + 3 = 11x + 9

112x - 11x = 9 -3

x = 6

Answer:

Hello,  

we know that to find the GCF we descompose the numbers and then we multiply the common terms with the lowest exponent. So we first descompose 210:

210   | 2

105   | 3

 35   | 5

   7   | 7

   1    

210= 2x3x5x7

Now one possible solution is 14 because:

14   | 2

 7   | 7

 1

As you can see 2 and 7 are common terms, so:

GCF= 2x7

GCF=14   -->  It's correct

Then, if we analyze it, we'll realize that we have an infinitive number of solutions. The only requirement is that "M" must have 2 and 7 when we descompose it.

For example:

M= 2²x7x3x11

M=924

924 is another possible solution, it doesn't matter if 2 or 7 repeat, since I said the GCF is the multiplication of the common terms with the LOWEST exponent. That's all.

Step-by-step explanation:

Answer:

is this a test

Step-by-step explanation:

kshsjwoo2o1k1 snsn

Answer:

0.5

Step-by-step explanation:

9 dollars divided by 18lbs.

9/18 = 0.5

$0.50/lbs

Answer:

14

Step-by-step explanation:

Step 1:

6 - ( 5x - 9 ) 2       Equation

Step 2:

6 - ( 5 ( 1 ) - 9 ) 2     Input x

Step 3:

6 - ( 5 - 9 ) 2      Multiply

Step 4:

6 - ( - 4 ) 2        Subtract

Step 5:

6 - ( - 8 )      Multiply

Answer:

14        Add

Hope This Helps :)

Answer:

14

Step-by-step explanation:

1) 6-(5[1]-9)2

2) 6-(5-9)2

3) 6-(10-18)

4) 6-(-8)

5) 14

Answer:

the probability of obtaining a favorable outcome increases as the number of trials increases

Step-by-step explanation:

The law of large numbers occupies an important place in probability statistics especially as it regards the outcome of experiments.

A simple statement of this law is that; when an experiment is independently repeated a large number of times, the average result, that is obtained is close to the expected value.

Hence, the probability of obtaining a favorable outcome increases as the number of trials increases.

Answer:

Step-by-step explanation:

Area of a square platform = Length × Length

A = L² (note that all the sides of a square are equal)

Given

A = 16m²

L² = 16

L = √16

L = 4m

Hence the dimension of the square is 4m by 4m (use the dimension when sketching the diagram. Al the sides is the diagram must be the same i.e 4m)

Perimeter of the square = 4L

P = 4(4)

P = 16m

Hence the perimeter of the platform is 16m

Answer: 6. 113.398  7.  354.882  8. 4.82803

HOPE THIS HELPS!

Step-by-step explanation:

Answer: 9/25, Percentage: 36%

Answer:

let the width of the playground be X

length will be (X+15)

area - length * width = 2700

(X+15)* X = 2700

x^2+15x-2700=0

x^2+60x-45x-2700=0

X(X+60)-45(X+60)=0

(X+60)(x-45)=0

x=45 because, the dimensions cannot be in negative

so length = 60 and width = 45

Answer: y=x+5

Step-by-step explanation:

So the dots are going at a slope of 1 up and 1 right each time, so your slope would be 1, or simply x if you times it. To line it up with the slope, you have to move up 5 on your y-axis, known as your b. Then from there, you go up 1 over 1 which will line up with all the dots.

Answer:

No, it is not

Step-by-step explanation:

Answer:

No it is not

Step-by-step explanation:

Answer: Plumber B

Step-by-step explanation:

Plumber A: First, multiply $55 times 4, then add the fee of $40. This will give you $260 as total. This is how much it would cost for Plumber A.

Plumber B: Multiply $40 by 4 and then add $60. This gives you $220, showing that Plumber B is a better option.

Answer:

Plumber B

Step-by-step explanation:

We could set up 2 expressions, and set the time to be 4 hours, and see which plumber costs less:

Plumber A: 40+55*4 = $260

Plumber B: 60+40*4 = $220

Plumber B is cheaper, so therefore he/she is the better option.

Answer: Mason made $185.00

Step-by-step explanation:

For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.  (Just ignore the "suits part ._.)

250*.05=12.50

250*.08=20

12.50*10=125

3*20=60

125+60=185.

Answer: -5.5

Step-by-step explanation:

(; -2= 7/2

-5+ 7 =12

12/2=5

Answer:

n  m

Step-by-step explanation:

mn

Answer:

Part 1

1.) -105

2.) 120

3.) 15

4.) -200

5.) 40

6.) 16

7.) 240

Step-by-step explanation:

1.) Do 7 x 15, which is 105, then since 15 is a negative and 7 is positive, the product is negative.

2.) Do 5 x 24, which is 120, and sine both 5 and 24 are negative, they cancel each other out and the product is positive.

3.) Do 75 / 5, which is 15, and since both 75 and 5 are negative, they cancel each other out and the quotient is positive.

4.) Do 25 x 8, which is 200, and since 25 is negative and 8 is positive, the product is negative.

5.) Do 120 / 3, which is 40, and since both 120 and 3 are positive, the quotient stays positive.

6.) Do 80 / 5, which is 16, and since both 80 and 5 are negative, they cancel each other out and the quotient is positive.

7.) Do 16 x 15, which is 240, and since both 16 and 15 are negative, they cancel each other out and the product is positive.

Hope this helps <3

Answer:

3  3/4

(Decimal: 3.75)

Step-by-step explanation:

Answer:

Habiba will pay $262.20 of Interest.

Step-by-step explanation:

Simple Interest

Simple interest is a method of calculating the interest charge on a loan. The Interest (I) is determined by multiplying the yearly interest rate (r) by the principal (P) by the number of years that elapsed between payments (t).

The formula to calculate the interest Habiba will pay is:

I=P.r.t

The values are:

P=950

t=3 years

r=9.2% yearly= 0.092

Substituting the values:

I=950*0.092*3

I=262.20

Habiba will pay $262.20 of Interest.

Answer:

38oz

Step-by-step explanation:

6-3=3   3pounds-10ounces=38

3lb=48oz   48-10=38

Answer:

Step-by-step explanation:

3 pounds = 48 ounces

48 ounces + 10 ounces = 58 ounces

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6 pounds = 96 ounces

96 ounces - 58 ounces = 38 ounces

Hope this helps..