The value of square root -9 is not -3 because ___.

Answers:

Gabe needs 30 liters of the 50% solution

Gabe needs 30 liters of the 70% solution

Both answers are 30

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Explanation:

We have two beakers, each of which we don't know how much is inside. Let's call this x and y

x = amount of liquid in the first beaker (water+acid)

y = amount of liquid in the second beaker (water+acid)

We're told that the beakers have a 50% solution and a 70% solution of acid. This means that the first beaker has 0.5*x liters of pure acid, and the second beaker has 0.7*y liters of pure acid. In total, there is 0.5x+0.7y liters of pure acid when we combine the two beakers. This is out of x+y = 60 liters total, which we can solve for y to get y = 60-x. We will use y = 60-x later on when it comes to the substitution step

We can divide the total amount of pure acid (0.5x+0.7y liters) over the total amount of solution (x+y = 60) to get the following

(0.5x+0.7y)/(x+y) = (0.5x+0.7y)/60

We want this to be equal to 0.6 because Gabe wants a 60% solution when everything is said and done, so

(0.5x+0.7y)/60 = 0.60

0.5x+0.7y = 0.60*60 .... multiply both sides by 60

0.5x+0.7y = 36

0.5x+0.7( y ) = 36

0.5x+0.7(60-x) = 36 ........ replace y with 60-x (substitution step)

0.5x+0.7(60)+0.7(-x) = 36 .... distribute

0.5x+42-0.7x = 36

-0.2x+42 = 36

-0.2x = 36-42 .... subtract 42 from both sides

-0.2x = -6

x = -6/(-0.2) .... divide both sides by -0.2

x = 30

He needs 30 liters of the 50% solution

Use this x value to find y

y = 60-x

y = 60-30

y = 30

So he needs 30 liters of the 70% solution

Answer:

Step-by-step explanation:

Answer:

(x, y ) = (5, 4 )

Step-by-step explanation:

given the 2 equations

3x - 2y = 7 → (1)

- 3x + 5y = 5 → (2)

adding the 2 equations term by term will eliminate x

(3x - 3x) + (- 2y + 5y ) = (7 + 5 )

0 + 3y = 12

3y = 12 ( divide both sides by 3 )

y = 4

substitute y = 4 in either of the 2 equations and solve for x

(1 ) : 3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

solution is (5 , 4 )

Answer:

The answer is A

Step-by-step explanation:

When two parallel lines are crossed by another line the angle of 1 will be equal to 4, 5, and 8. The angle 2 will be equal to 3, 6, and 7. Since a straight line has a degree of 180, the subtracted degree of 180-140=40 which would mean 2=40 which 2=6 so 6=40.

Answer:

40°, A

Step-by-step explanation:

What are we going to do to figure out measure 6?

First of all, we know that measure 5 and measure 6 are equal to 180 degrees.

Second of all, we know that measure 1 and measure five are corresponding angles, which means they are congruent. If measure one is 140 degrees, measure 5 would also be 140 degrees.

So we know that measure 5 and measure 6 are equal to 180 degrees. We can now make an equation...

Let x = measure 6

Answer:

-16 =x

Step-by-step explanation:

−6 = 3/8x

Multiply each side of the equation by 8/3 to isolate x

-6 *8/3 = 8/3* 3/8 x

-48/3 = x

-16 =x

Answer:

Step-by-step explanation:

-6=3/8x

To make this easier to visualize:

3/8= 0.375

-6=.375x

Divide both sides by .375

The right side cancels.

-6/.375=-16

So x=-16

Answer:

3/8 gallons left

Step-by-step explanation:

she has 0.75 of a gallon

she eats 0.5(0.75) while watching TV

multiply 0.5 by 0.75 to get half of 3/4 of a gallon

0.375 of a gallon is what she has left

or 3/8 of a gallon

Answer:

2(11-5)+9÷3 = 15

Step-by-step explanation:

the correct answer is: 15

To Solve:

11 - 5 = 6

6 x 2 = 12

9 / 3 = 3

12 + 3 = 15

The value of the expression is; 15

The given expression is; 2(11-5)+9÷3

By first solving the expression within the parenthesis, and then the division operator ; we have;

By taking care of the parenthesis; we have;

Read more on arithmetic expressions;

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Answer: 2 hours

Step-by-step explanation:

Answer: A

Step-by-step explanation:

m(x) = x² + 2  

n(x) = 5x + 9

(m*n)(x) = (x² + 3)(5x + 9)

            = x²(5x + 9) + 3(5x + 9)

            = 5x³ + 9x² +  15x + 27

Answer:

[tex]5x^3 +9x^2 +15x+27[/tex]

Step-by-step explanation:

If m(x) = x2 + 3 and n(x) = 5x + 9,

(mn)(x) is (m times n)(x)= m(x) times n(x)

m(x)  * n(x)

Plug in m(x) and n(x). then multiply it

m(x)  * n(x)

(x^2 + 3)(5x+9)

Apply FOIL method to multiply it

x^2 * 5x = 5x^3

x^2 * 9 = 9x^2

3*5x= 15x

3*9 = 27

[tex]5x^3 +9x^2 +15x+27[/tex]

Answer:

It should be 12 because:

31.8 - 22.2 = 9.6

9.6 ÷ 0.8 = 12

Answer:

Step-by-step explanation:The algebraic equation is 24/6*3 which will give you 12 pounds

Answer:

Equation

2x = 24

Step-by-step explanation:

3 pounds of peaches cost $6

so each pound = $6/3 = $2

so if you have $24 then $24/ 2 = 12 pounds

Let x = # of pounds of peaches

Equation

2x = 24

Answer:

I is the √-1 so it would be √-2 as your answer

Step-by-step explanation:

If the value of i = [tex]\sqrt{1}[/tex] then value of i² = 1.

When we raise numbers to powers they  are either called surds when we raise powers which are greater than zero but less than 1 in fraction from.

We call indices when we raise powers to which are greater than 1.

Indices make the base larger after simplification and surds make the bases smaller after simplification.

According to the given question i = [tex]\sqrt{1}[/tex].

∴ The value of i² is i×i = [tex]\sqrt{1}[/tex] × [tex]\sqrt{1}[/tex] = [tex]1^\frac{1}{2}[/tex] × [tex]1^\frac{1}{2}[/tex] = [tex]1^[\frac{1}{2}+\frac{1}{2}][/tex] = 1¹ = 1.

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Answer:

Step-by-step explanation:

f(x) = 2(x + 6)

f(x) = 22

thereofre we have the equation:

2(x + 6) = 22      use distributive property

2x + 12 = 22     subtract 12 from both sides

2x = 10     divide both sides by 2

x = 5

Answer:

The exact answer is 27 * pi

or the approximate answer is 27 * 3.14 = 84.78

Step-by-step explanation:

First step is to find the area of the circle

A = pi * r^2

A = pi * 6^2

A = 36* pi

We are missing 90  degrees of the circle  or 90 out of 360.

That means we keep 360 - 90 = 270  or 270/360

The fraction we are keeping simplifies to 3/4  (divide top and bottom by 90)

Multiply the area by the fraction that we kept.

36 pi * 3/4 = 27 * pi

The exact answer is 27 * pi

or the approximate answer is 27 * 3.14 = 84.78

For this, simply set up a proportion. If 12 oz. costs $3.60, then this means $3.60 per oz, or [tex]\frac{3.6}{12}[/tex]. Now letś make a proportion for 20 oz. Itś asking for how much it would cost if the unit price was the same, which means that the two should have a similar ratio. Because we don´t know how much it costs yet, this means x dollars for a 20 oz. bottle, or [tex]\frac{x}{20}[/tex]. I´ve already mentioned that they two are proportional, so write [tex]\frac{3.6}{12} = \frac{x}{20}[/tex].

To solve, cross multiply.

⇒[tex]12*x=3.6*20[/tex]

⇒[tex]12x=72[/tex]

Isolate variable x.

⇒[tex]\frac{12x}{12} = \frac{72}{12}[/tex]

⇒ x = 6: $6.00 for 20 ounces of soda.

Checking your work:

3.6/12 = 0.3

6/20 = 0.3

This means that theyŕe proportional, and that your answer is correct. Hope this was helpful.

Answer:

D YEET

Step-by-step explanation:

Answer:

a ) 400 percent

b )  n = 25

c)  n= 36

Step-by-step explanation:

Is means equals, of means multiply and percents need to be changed to decimals.

a) 120 is what percentage of 30

120 = P * 30

Divide each side by 30

120/30 =P* 30/30

4 = P

Multiply by 100 to give the percentage

4 * 100

400 percent

b) 30 is 120% of what number

30 = 1.2 * n

Divide each side by 1.2

30/1.2 = 1.2n/1.2

25  = n

c) what number is 30%of 120

n = .3 * 120

n =36

Answer:

10,300?

Step-by-step explanation:

Answer:

The hula hoop rolls 879 \text{ cm}879 cm.

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

2.1   Adding a fraction to a whole  

Rewrite the whole as a fraction using  10  as the denominator :

          7x     7x • 10

    7x =  ——  =  ———————

          1        10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole  

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions  

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7x • 10 + 1     70x + 1

———————————  =  ———————

    10            10    

Final result :

 70x + 1

 ———————

   10    

Processing ends successfully

3c(c+3)-4(c+3)=3c^2+9c-4c-12=3c^2+5c-12

The expression in complete factored form is (3c - 4)(c + 3)

A complete factored form is a form of expressing a complex polynomial expression as the products of factors of the polynomial. If we equate the complete factored expression with zero, we get the solutions of the polynomial expression.

The expression given is [tex]3c(c + 3) - 4(c + 3)[/tex]

Expanding the given expression  [tex]3c^{2} + 9c - 4c - 12[/tex]

= [tex]3c^{2} + 5c - 12[/tex]

= [tex]3c^{2} + 9c - 4c - 12[/tex]

= [tex]3c(c + 3) - 4(c + 3)[/tex]

= [tex](3c - 4)(c + 3)[/tex]

Thus the expression in complete factored form is (3c - 4)(c + 3)

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Answer:

A) y=2x-3

Step-by-step explanation:

I looked at the first 2 points that were perfectly on the x and y axis, so (3,3) and (5,7). I then put the numbers into their correct spots. When they were plugged in, both of the answers came back correct, so that is the correct equation.

Answer:

A. y=2x-3

Step-by-step explanation:

Since we have it in slope intercept form y=mx+b.  B is our y intercet which we know is -3. Next we can find the slope which rise over run.  This gives up 2 and our answer.

Answer:

b

Step-by-step explanation:

add 3 and 8 = 11

Answer:

2/3   in

Step-by-step explanation:

We can use ratios to solve this problem.

1/4 inch               x inches

--------------    = ---------------------

3 /8 ft                      1 ft

Using cross products

1/4 * 1 = 3/8 * x

Multiply each side by 8/3 to isolate x

1/4 * 8/3  = 3/8*8/3 x

2/3 = x

Answer:

108

Step-by-step explanation:

Givens

Equation

Solution

Answer

Comment

This is a very tricky problem. It is not the usual way that 3 part ratios are handled. Thanks for posting.

Statement 1: AM is the midpoint of AB

Reason 1: Given

=====================================

Statement 2: AM+MB = AB

Reason 2: Segment Addition Postulate

Further explanation: Basically this idea is where you can break up the line segment into smaller pieces, or glue smaller segments to form a larger segment.

=====================================

Statement 3: AM = MB

Reason 3: Definition of midpoint

Further explanation: The midpoint cuts a line segment in half. The two smaller pieces AM and MB are congruent (ie equal in length)

=====================================

Statement 4: AM + AM = AB

Reason 4: Substitution

Further explanation: We replace the MB in statement 2 with AM. This replacement is possible because of the equation AM = MB in statement 3.

This concludes the proof.

Answer:

21

Step-by-step explanation:

To find Jeff's age, we set up an algebraic equation based on the problem given. By isolating the variable and solving the equation, we determine that Jeff is 7 years old.

The problem presented is a basic algebraic equation that can be translated to: 5 + 2 * Jeff's age = 3 * Jeff's age - 2. To solve for Jeff's age, we follow these steps:

Jeff is 7 years old.

Answer:

The length of each side is 2.5 m

Step-by-step explanation:

A cube has a volume of 15.625 m^3 of hay

We want to find the length of one side

V= s^3 where s is the length of one side

15.625 = s^3

Take the cube root of each side

15.625 ^ (1/3) = s^3 ^(1/3)

15.625 ^ (1/3) = s

2.5 = s

The length of each side is 2.5 m

Answer:

he can fill 4 bag

i think he will have 4 or 6 left

Step-by-step explanation:

38/8= 4.75

.75/8=6

Answer:

4 bags and 6 apples

or

4.75 bags of apples

Step-by-step explanation:

First, take 38 divided by 8. You get 4.75. That means 4 bags have been filled up.

Next take 8 times 4. you get 32. then take 38-32 and you get 6.

That means there is 4 bags of apples and 6 left over. You could also say 4.75 bags are filled.

This was a different way of awnsering it so I hope this helps. This is how I do it.

Answer:

The quotient is (x+7)

Step-by-step explanation:

Given the synthetic division problem

2|1    5    -14

we have to complete the synthetic division to find the quotient.

The steps are

Step 1: Set up the synthetic division

Step 2: Bring down the leading coefficient to the last row.

Step 3: Multiply the value which is written on the top left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

The quotient is (x+7)

Option D is correct