Nathan uses ¼ cup of water for every ½ cup of lemon juice to make lemonade. Enter the number of cups of water Nathan uses for 1 cup of lemon juice. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER.

[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]

Answer:

7+2=9 so the answer is 0.9

Step-by-step explanation:

Answer:

170 years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

Answer: 7.7 years

Step-by-step explanation:

Total amount = Principle + Interest = 5200 + 1000 = 6200

A = P(1 + rt)

6200= 5200[1+(0.025)(t)]

6200=5200+130t

-130t=5200-6200

-130t=-1000

t=100/13

t= 7.7 years

Answer:

Hope this helps :D

Step-by-step explanation:

Here are the steps in dividing polynomials using the long method:

Arrange the indices of the polynomial in descending order. Replace the missing term(s) with 0.

Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient.

Multiply the divisor by the first term of the quotient.

Subtract the product from the dividend then bring down the next term. The difference and the next term will be the new dividend. Note: Remember the rule in subtraction "change the sign of the subtrahend then proceed to addition".

Repeat step 2 – 4 to find the second term of the quotient.

Continue the process until a remainder is obtained. This can be zero or is of lower index than the divisor.

If the divisor is a factor of the dividend, you will obtain a remainder equal to zero. If the divisor is not a factor of the dividend, you will obtain a remainder whose index is lower than the index of the divisor.

When a divisor has more than one term or if the divisor is a polynomial containing more than one term, the four steps used to divide whole numbers— (divide, multiply, subtract, bring down the next term)—form the repetitive procedure for the polynomial long division.

Step-by-step explanation:

Step-by-step explanation:

0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152

Answer:

y=-3/4x-2

Step-by-step explanation:

y=mx+b form (slope intercept form)

1) find slope

(4,-5) and (-4,1)

1-(-5)=6

-4-4=-8

m=6/-8 or 3/-4

y=-3/4x+b

Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)

in this case, I'll plug in (4,-5).

-5=-3/4(4)+b

Note that I substituted the y and x variables in place of one of the coordinates.

find b=-2.

Result: y=-3/4x-2

Answer:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

[tex]Mindpoint =\left(2,\:1\right)[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

X = 6 – -2 = 8

Y = 3 – -1 = 4

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

Midpoint:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]

[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]

[tex]=\left(2,\:1\right)[/tex]

[tex] \: \: \: [/tex]

[tex] \pink{100000}[/tex]

step-by-step explanation

[tex] {10}^{5} [/tex]

[tex]10 \times 10 \times 10 \times 10 \times 10[/tex]

[tex] = \pink{100000}[/tex]

Answer:

The solution is 100.000

Step-by-step explanation:

10⁵

= 10×10×10×10×10

= 100×10×10×10

= 1.000×10×10

= 10.000×10

= 100.000

Answer:

-1.42857

Step-by-step explanation:

Step-by-step explanation:

2(3x + 4) - 4(x + 2) = 6

6x + 8 - 4x - 8 = 6

2x = 6

x = 6/2 = 3

Answer:

see explanation

Step-by-step explanation:

Mabel has (x + 6) pears , then Nelson has

[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2

The number of pears that Nelson has in terms of x will be x / 3 + 2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

After Donovan gives Mabel 6 pears, she has (x + 6) pears.

If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,

⇒ (x + 6) / 3

Simplify the equation, then we have

⇒ (x + 6) / 3

⇒ x / 3 + 2

The number of pears that Nelson has in terms of x will be x / 3 + 2.

More about the Algebra link is given below.

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Answer:

y=68

Step-by-step explanation:

isolate the variable by adding 14 to both sides

54+14=y+14-14

68=y

Answer:

The slope of this line is 4/3.

Step-by-step explanation:

(x1, y1) = (10, 2)

(x2, y2) = (19, 14)

First, find the slope using the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

All this is doing is finding the distance between the y-coordinates and dividing it by the distance between the x-coordinates. I marked these two as points 1 and 2 above, so you can plug in all 4 values and solve:

[tex]m=\frac{14-2}{19-10}\\\\m=\frac{12}{9}\\\\m=\frac{4}{3}[/tex]

The slope of this line is 4/3.

Answer:

$6.70

Step-by-step explanation:

Adrian purchases a book for 4.86 and a poster for 3.44

The total amount he owes would be 4.86 + 3.44 = $8.30

If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.

write it in web and then u will find the answer in a calculator

The solution is Option A.

The scale factor of the blueprint is given by the equation 1 inch = 3 feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A blueprint has a scale of 4 inches = 12 feet

So , the value of equation A is

4 inches = 12 feet

Divide by 4 on both sides of the equation , we get

4 inches / 4 = 12 feet / 4

On simplifying the equation , we get

1 inch = 3 feet

Therefore , the value of A is 1 inch = 3 feet

Hence , the scale factor of the blueprint is 1 inch = 3 feet

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Answer:

Warrior WiFi is better because it costs 167.50 for 175 texts.

Step-by-step explanation:

2x175 = 350 + 20 = 370

0.50x175 = 87.5 + 80 = 167.5

Answer:

1 = 8 and 50

2= 50 and a

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)

Step-by-step explanation:

Based on the number of cupcakes that Autumn made and the relationship to Averle, the number of cupcakes made by Averle was 16 cupcakes.

Autumn made 72 more cupcakes that the cupcakes made by Averle.

Autumn made 88 cupcakes which means that the number of cakes made by Averle must have been 72 less than this:

= 88 - 72

= 16 cupcakes

In conclusion, Averle made 16 cupcakes.

Find out more on this kind of operation at https://brainly.com/question/17829864.

Answer:

the value of (3^(12) +3^(5) ) + (3^(2) x 3)=531711

Answer:

i think the center (-7,6) and r = 7

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

Answer:

The story is not clear enough to provide the answer

Step-by-step explanation:

First of all we do not know how many childen are in the Martin Family

[tex]20 \times 8[/tex]

=$160

So depending on how each child sends and how many children will determine which kid will have most of the money left

I'm pretty sure that's what you meant

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Answer:

A

Step-by-step explanation:

throat bababy

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

Step-by-step explanation:

To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.