Are the following fractions equivalent? Explain.

15/60 = 3/4

Answer: 27 1/2 miles per gallon

Step-by-step explanation: trust me bro

Answer:

[tex]6.19=6\frac{19}{100}[/tex]

Step-by-step explanation:

[tex]6.19=6\frac{19}{100}[/tex]

Answer:

6 pounds and 15 ounces

Step-by-step explanation

1 pound is equal to 16 ounces. Divide 111 by 16 to get 6 remainder 15

Answer:

seven

Step-by-step explanation:

1+1=2 and 3+2=5 so 2+5=7

Answer:

2+5=the answer is 7 you welcome

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Work Shown:

[tex]\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4[/tex]

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that [tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex] to break up the roots.

Answer:

4

Step-by-step explanation:

We first simplify $\sqrt{72}$ and $\sqrt{8}$:\begin{align*}

\sqrt{72} &=\sqrt{36\cdot 2} = \sqrt{36}\cdot \sqrt{2} = 6\sqrt{2},\\

\sqrt{8} &= \sqrt{4\cdot 2} = \sqrt{4}\cdot \sqrt{2} = 2\sqrt{2}.

\end{align*}Then, we have

\[\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}} = \dfrac{2\left(6\sqrt{2}\right)}{2\sqrt{2} + \sqrt{2}}

= \dfrac{12\sqrt{2}}{3\sqrt{2}} = \dfrac{12}{3}\cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \boxed{4}.\]

Answer:

She needs to dance about 154 hours.

Step-by-step explanation:

$1,000 minus $75 is $925.

$925 divided by $6 is about 154 hours.

Answer:

parallel: y = -8x+-27

perpendicular: y= [tex]\frac{1}{8} +5\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

2144 in^3

Step-by-step explanation:

[tex]\frac{4}{3}\pi r^3 > \frac{4}{3}\* *\pi * 8^3 > 2144.660[/tex]

Step-by-step explanation:

Divide 12 by 3 to determine Catherine's age.

[tex]12 \div 3 = 4[/tex]

Catherine is 4 years old when Cisca is 12 years old.

Let's identify when Cisca will be twice as old as Catherine by representing the ages per future years.

Year 1: 13, 5

Year 2: 14, 6

Year 3: 15, 7

Year 4: 16, 8

Year 5: 17, 9

Year 6: 18, 10

In 4 years, Cisca will be twice as old as Catherine.

Her age is 16.

She would be 4 years

Age of Catherine = X

Age of Cisca = 12yrs = 3x

Therefore X = 12/3= 4 years.

Actual age of Catherine = 4 years.

Twice ( 2x) age of Catherine = 2×4= 8

Therefore, she will be 4 years to be twice as old as Catherine

Learn more about age here:

https://brainly.com/question/26423521

Answer:

The missing numerator is 2

Step-by-step explanation:

Assign "x" to the numerator sought:

[tex]\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}[/tex]

[tex]\frac{14x+91}{98} =\frac{14+3}{14}[/tex]

[tex]14x+91=98(\frac{17}{14} )[/tex]

[tex]14x=\frac{1666}{14} -91[/tex]

[tex]14x=119-91[/tex]

[tex]x=\frac{28}{14}[/tex]

[tex]x=2[/tex]

Hope this helps

Answer:

[tex]a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} [/tex]

Answer:

double roooms

Step-by-step explanation:

it is double rooms thank me later

Answer:

A(8,9,10,11,12)

Step-by-step explanation:

A(8,9,10,11,12)

Answer:

π/4, or 3π/4

Step-by-step explanation:

dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2

Tangent line is horizontal, so dy/dx = 0

1-2(sinx)^2 = 0

(sinx)^2 = 1/2

sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]

Between 0 and pi, sinx >0

so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]

x = π/4, or 3π/4

Answer:

C. 707 cm^2

Step-by-step explanation:

Answer:

295 cm[tex] {}^{2} [/tex]

Answer:

TU = 15

Step-by-step explanation:

The two rectangles are similar. That means that the lengths of  corresponding sides are in the same ratio.

Pairs of corresponding sides:

MN, ST

NO, TU

OP, UV

PM, VS

Equal ratios of lengths of corresponding sides:

MN/ST = NO/TU = OP/UV = PM/VS

Plug in the given information:

MN/ST = 10/x = 4/6 = PM/VS

10/x = 4/6

4x = 10 × 6

4x = 60

x = 15

TU = 15

Answer:

x = 3, x = 1

The points at which the curve crosses the x-axis are (3, 0) and (1, 0)

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Quadratic equation: [tex]ax^2+bx+c[/tex]

Therefore, for   [tex]x^2-4x+3[/tex]:

a = 1   b = -4   c = 3

Inputting values into quadratic formula:

      [tex]x=\dfrac{4\pm\sqrt{(-4)^2-(4\times1\times3)} }{2\times1}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{16-12} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{4} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm2 }{2}[/tex]

[tex]\implies x=2\pm1[/tex]

[tex]\implies x=3, x=1[/tex]

Therefore, the points at which the curve crosses the x-axis are (3, 0) and (1, 0)

[tex]\\ \tt\hookrightarrow x^2-4x+3=0[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm \sqrt{16-12}}{2}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm 2}{2}[/tex]

Step-by-step explanation:

This polynomial has like terms that can further be simplified

2 - 11x^2 + 6x^2- 8x

2 - 5x^2 - 8x

multiply by negative to take 2 to the right.

-(2 - 5x^2 - 8x)

= 5x^2 + 8x - 2

It's named a Second Degree Polynomial because the highest degree(exponent) of x in the final solution is 2.

it has 3 terms : 5x^2 , 8x , 2

Answer:

y=4x+12

Step-by-step explanation:

m=4

y-(4)=4(x-(-2))

y=4x+12

Answer:

[tex]4fg^{2}[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex]fg^{2} *4[/tex]

2) Regroup terms.

[tex]4fg^{2}[/tex]

Answer:

The correct answer is...

Step-by-step explanation:

"F^4g^8" Hope this helps!

Answer:

I'm pretty sure you would just add and subtract as needed.

Step-by-step explanation:

Sorry if i'm wrong.

Answer:

297.60 & 1497.60

Step-by-step explanation:

I had the question before and got it right.

Answer:

the correct answers are (1) 1497.60 and (2) 2096.64

explanation:

these were the correct answers!!

100% honest!!

Answer:

Let x thousand births per day

Let y thousand deaths per day

Each day, the number of births in the world is 45 thousand less than three times the number of

deaths.

x=3y-45 (1)

Population increase= birth - death

=x-y(2)

substitute (1) into (2)

3y-45-y=241

2y-45=241

2y=196 (plus 45 from both side)

y=98 (divide 2 from both side)

x-y=241

x-98=241

x=339 ( pluse 98 from both side)

So, There are 339 thousand births per day

There are 98 thousand deaths per day

HOPE THIS HELP!!!

Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the precipitation each month x in Phoenix is given by:

[tex]y = -0.04088x^2 + 0.4485x + 1.862[/tex]

Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:

[tex]x_v = -\frac{0.4485}{2(-0.04088)} = 5.48[/tex]

Hence during the month of May.

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

The number of years it would take the money to double is 86.6 years.

Number of years =  (In fv / pv) / r

Where:

IN 2 / 0.008 = 86.6 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217