Which unit rate is equivalent to 12 miles per gallon? 24 miles 2 gallons 2 gallons 24 miles 36 miles 4 gallons 4 gallons 36 miles​

[tex] \frac{1}{5} + \frac{3}{4} \times \frac{3}{5} = \\ [/tex]

[tex] \frac{1}{5} + \frac{9}{20} = \\ [/tex]

[tex] \frac{4}{20} + \frac{9}{20} = \\ [/tex]

[tex] \frac{13}{20} \\ [/tex]

Answer:

x = 6

Step-by-step explanation:

3x-5x+8x+x = 42

7x = 42

x = 6

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\boxed{A}\qquad \sqrt[4]{8}\implies \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{B}\qquad \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{C}\qquad 2^{\frac{1}{4}}\times 2^{\frac{1}{2}}\implies 2^{\frac{1}{4}+\frac{1}{2}}\implies 2^{\frac{1+2}{4}}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{D}\qquad \left( 2^{\frac{1}{4}} \right)^{\frac{1}{2}}\implies 2^{\frac{1}{4}\cdot \frac{1}{2}}\implies 2^{\frac{1}{8}}\qquad \textit{\large \checkmark}[/tex]

Answer:

  d) 16x² -56x +49

Step-by-step explanation:

The square of a binomial difference will have the form ...

  (ax -b)² = a²x² -2abx +b²

__

The sign of the linear term will be negative, which eliminates choices A and C.

The linear term will be double the product of the roots of the other two terms.

In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.

Choice D factors as ...

  16x² -56x +49 = (4x -7)² . . . . the square of a difference

Answer:

3x+1=3x+1

0x=0

no solution

3x+1=3x+2

0×=1

no solution

3x+1=2x+1

x=0

X IS THE SOLUTION BTW

Answer: 40 mg

Unitary method:

For 3kg --> 8mg

For 1kg --> 8/3 mg

For 15kg--> (8/3) * 15

              --> 40 mg

The number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

Given that, for every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, for 1 kg of child's weight pediatricians prescribe [tex]\frac{8}{3}[/tex] mg of fever reducer.

If Nidhi weighs 15 kg, then the fever reducer = [tex]\frac{8}{3}\times15[/tex]

[tex]=8\times5[/tex]

[tex]=40[/tex] mg

Therefore, the number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

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Answer:

what's your question?  

Answer:

0.3kg

Step-by-step explanation:

Since the weight of 120 books is 36kg, the weight per book will be:

= 36kg / 120

= 0.3kg

Answer: 7,820

Sorry I have no help :(

Answer:

Step-by-step explanation:

tey to analyze the problems

Answer:

[tex]\huge\boxed{x=-4}[/tex]

Step-by-step explanation:

[tex]3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4[/tex]

Answer:

Quotient: 18; Remainder: 26

Step-by-step explanation:

Please open the PDF file for work.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

n= 2.9

1:2.9

Step-by-step explanation:

Divide by 15 on both sides

15 divided by 15 is 1

43 divided by 15 is 2.8666666666=>

It states "Give any decimals in your answer to 1 d.p.

Mean we round it to one decimal place

so it is 2.9

Thus the answer for n is 2.9

Hope this helps!

6/12, 1/2, 10/20, 5/10,

Answer:

Step-by-step explanation:

Answer:

2a - 5b = 1

3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

   2a - 5b = 1

  3a + 5b = 14

+___________

   5a - 0 = 15

        5a = 15

          a = 3

Next, plug 3 for a into either of the equations and solve for b.

 2a - 5b = 1

2(3) - 5b = 1

   6 - 5b = 1

      - 5b = -5

          b = 1

Lastly, check all work by plugging both values for their respective variables.

    2a - 5b = 1

2(3) - 5(1) = 1

        6 - 5 = 1  --  This is true

    3a + 5b = 14

3(3) + 5(1) = 14

        9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

sin²θ + cos²θ = 1

secθcosθ = (1/cosθ)cosθ = 1

1 - 1 = 0

Answer:

x= 4/5 or x = -2

Step-by-step explanation:

Step 1: Subtract -6x from both sides.

5x^2 -8 - -6x = -6x -6x

5x^2 + 6x - 8 = 0

Step 2: Factor left side of equation.

(5x - 4) (x + 2) = 0

Step 3: Set factors equal to 0.

5x - 4 = 0 or x + 2 = 0

Hense the Answer is x= 4/5 or x = -2

Answer:

Solution: x = 1/6

Decimal form: 0.166667

Hope this helps :)

Answer:

x = 1/6

Step-by-step explanation:

10x + 7 - x : Combine like terms (In this case the x values)

9x+7 = 3x + 8 : Subtract 3x from both sides

6x + 7 = 8 : Now subtract 7 from both sides

6x = 1 : Divde both sides by 6

x = 1/6

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

[tex]P =25000[/tex] -- the principal amount

[tex]R = 4\%[/tex] -- the interest rate

[tex]T=1[/tex] --- the duration

The amount to pay back in this duration is then calculated using:

[tex]A = P(1 + RT)[/tex]

So, we have:

[tex]A = 25000(1 + 4\% \times 1)[/tex]

[tex]A = 25000(1 + 4\% )[/tex]

Express percentage as decimal

[tex]A = 25000(1 + 0.04)[/tex]

[tex]A = 25000(1 .04)\\[/tex]

Multiply

[tex]A = 26000[/tex]

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

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Answer:

21*4 = 84.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Multiply 1 by 4 to get 4.

Move the 8 into the tens place and move the 4 into the ones place.

Answer:

-2

Step-by-step explanation:

    [tex]\frac{(-2)^3+3 (4)}{-8+6}[/tex]

 [tex]= \frac{-8 + 12}{-2}[/tex]

 [tex]= \frac{4}{-2}[/tex]    

 [tex]= -2[/tex]

Answer:

2.3

Step-by-step explanation:

First we must get rid of the exponent, which is that little 3 at the top.

To do this, we will do:

(-2) × (-2) × (-2) = -8

Now we have -8 + 3.4, which equals -4.6

Next we will combine the numbers in the denominator, to get -2.

Now, all together, we have -4.6/-2.

Last but not least, we will divide -4.6 by -2, to get 2.3

And that's your answer, hope this helps you :)

Sorry if it doesn't, though.

the ratio is 24:30

or the simplified version is 4:5

Answer:

Step-by-step explanation:

Given f(x)=40-1.25x, where x=pounds of birdseed and 40=her saved amount, and birdseed costs 1.25/lb.

f(3)=40-1.25(3)

f(3)40-3.75

f(3)=36.25

If she buys (3 pounds) of birdseed, she saves ($36.25).

f(18)=40-1.25(18)

f(18)=40-22.5

f(18)=17.5

If she buys (18 pounds) of birdseed, she saves ($17.5)

f(36)=40-1.25(36)

f(36)=40-45

f(36)=-5

If she buys (36 pounds) of birdseed, she will need an extra $5 to pay off her debt.

If she buys (36 pounds) of birdseed, she will need an extra $5 to pay off her debt.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given function f(x)=40-1.25x,

where x=pounds of birdseed and 40 is her saved amount, and birdseed costs is 1.25/lb.

f(3)=40-1.25(3)

f(3)40-3.75

f(3)=36.25

If she buys (3 pounds) of birdseed, she saves ($36.25) then;

f(18)=40-1.25(18)

f(18)=40-22.5

f(18)=17.5

If she buys (18 pounds) of birdseed, she saves ($17.5) then;

f(36)=40-1.25(36)

f(36)=40-45

f(36)=-5

If she buys (36 pounds) of birdseed, she will need an extra $5 to pay off her debt.

Learn more about equations here;

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Answer:

90.25π

Step-by-step explanation:

The formula for solving the area of a circle is πr².

r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.

We can apply the area formula and we get π9.5² and the answer is 90.25π.

Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²

Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)

Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²

Finally we get this expression : (x-3)²(x+3)²(x-1)

This expression is a polynomial of degree 5 but what is the y intercept of it ?

Basically, we need to replace x by zero and the value of the expression will be the y intercept :

let x = 0

then ,

(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162

We need an y intercept of value = -162

Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)

satisfies all the required condition

Good Luck

Answer:

3/5

Step-by-step explanation:

3/5 pet is the exact fraction of pet that each student will have.

18 pets out of 30 students

= total pets divided by total students that would be 18/30

Simplifying 18/30 would make

9/15 first and then 3/5

So 3/5 is the answer

Answer:

Step-by-step explanation:

When it's clear, the easiest way to do the problem is to used the x and y  intercepts.

This question is one of the clear one.

The x intercept is 2,0

The y intercept is 0,1

You want the slope.

m = (y2 - y1)/(x2 - x1)

y2 = 1

y1 = 0

x2 = 0

x1 = 2

m = (1 - 0)/(0 - 2)

m = 1 / -2

m = -1/2

In this case the slope and gradient have the same value --   - 1/2 or - 0.5

Answer:

P = 150 W * 60 sec/min * 60 min/hr =  540000 W-sec/hr

1 kW = 1000 W * 3600 sec = 3.6E6 W-sec

E (8 hrs) = 8 * .54E6 W-s = 4.32E6 W-sec

or E= 4.32/3.6 = 1.2 kW = .168 $/day

20/150 = .133 as much for a 20-watt bulb

For a LED bulb cost/day = .168 * .133 = $.022/da

Note 1 W = 1 Joule/sec