It took Beth 16 minutes to read 8 pages of a book. If she reads at a constant rate, how long did it take Beth to read 5 pages?

Answer:

Side AB has a length of 4, and side BC has a length of 11.7

Answer:

The change in the sea level will be by 0.2925 inches

Step-by-step explanation:

First of all , we will need to write out the rate at which the sea level is rising. This is 0.13 inches, per year. This means that every year, the sea level increases by 0.13 inches.

Since the sea level increases by 0.13 inches every year, in 2.25 years, to get the sea level, we will have to multiply the current rate at which it is rising by that duration of time.

This will be 2.25 years X 0.13 inches/ year = 0.2925 inches

Therefore, the change in the sea level will be by 0.2925 inches

Answer:

0.2925 inches

Step-by-step explanation:

Answer: C

Step-by-step explanation:

[tex]\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}[/tex]

Find the least common denominator of 4, 3, and 12.

4-3-12 | 3

4-1-4   | 4

1-1-1    |-------- 12

The first fractions needs to be multiplied by 3, and the second fraction, by 4

[tex](\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}[/tex]

Solve;

[tex]\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}[/tex]

Add the fractions with positive signs and subtract the one with negative sign.

[tex]\frac{(9a+8a)-a}{12}[/tex]

Solve;

[tex]\frac{17a-a}{12}=\frac{16a}{12}[/tex]

Simplify by 4;

16/4=4

12/4=3

[tex]\frac{4a}{3}[/tex]

Answer:

(4a)/3

Step-by-step explanation:

3a/4+2a/3-a/12

find L.C.M

9a+8a-1a/12=16a/12

16a/12=(4a)/3

Answer:

7.35 pints

Step-by-step explanation:

If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).

[tex]\frac{3}{4}[/tex] * 9.8 (or 0.75 * 9.8) = 7.35

Therefore, 7.35 pints of the total paint used is white.

Hope I helped! Please give me brainliest!

Answer:

365 1/4 days

Also I haven't seen your other question

Answer:

365, 366 every 4 years. 366 on 2020, 2024, 2028, 2032, 2036, 2040 and so on

Answer:

C

Step-by-step explanation:

[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]

Therefore, the answer is C. Hope this helps!

Answer:

51 feet

Step-by-step explanation:

To find how many feet will Natalie run, we just need to sum the four sides of the park that she will run:

Total distance = 15 + 10 + 12 + 14 = 51 feet

So if Natalie runs the sides of the park, she will run a total of 51 feet.

This value is also the perimeter of the park, that is, the sum of all 4 sides of the park.

Hey there! I'm happy to help!

To find the volume of a cone, you multiply the base by the height and then divide by three.

The base of a cone is a circle. To find the area of a circle, we square the radius and then multiply it by pi (we will use 3.14). Let's find the base below.

6²=36

36×3.14=113.04

Now, we multiply by the height.

113.04×8=904.32

Finally, we divide by three.

904.32÷3=301.44

Therefore, the volume of this cone is about 301.44 units cubed.

Now you can find the area of cones! I hope that this helps! Have a wonderful day!

Answer:

301.44

Step-by-step explanation:

Answer:

There are a total of 2500 cups

Step-by-step explanation:

10% of the cups are green

you can set up a equation for this

x = total cups

.10x = 250

multiply both sides by 10 to make x a whole number

x = 2500

Answer:

Step-by-step explanation:

Total gallons of punch mixture =  gallons of pineapple juice + orange juice + gallons of apple juice + gallons of Ginger ale

Given gallons of pineapple juice = 3/4 gallons

Orange juice = 1 1/2 gallons

Gallons of apple juice = 7/8

Total gallons of punch = 4 gallons

On substituting into the formula above:

4 = [tex]\frac{3}{4} +\frac{3}{2}+\frac{7}{8}+Gallons\ of\ ginger\ ale[/tex]

[tex]4=\frac{6+12+7}{8} + Gallons\ of\ ginger\ ale[/tex]]

gallons of ginger ale = [tex]4-\frac{25}{8}[/tex]

gallons ginger ale = [tex]\frac{7}{8}[/tex]

She needs 7/8 gallons of Ginger ale to make the total of 4 gallons of punch

Answer:

Emma would need 7/8 gallons of Ginger Ale to make the total of 4 gallons of punch.

Step-by-step explanation:

In the question, Emma used different quantities of juice to make a punch. To find the remainder, needed to make 4 gallons, we sum up the given quantities, and subtract it from the expected amount.

The summation of the given quantities of juice is as follows;

3/4 + 1 1/2 +7/8 = 25/8

We no subtract the quantity we already have from the expected amount, which is 4 gallons, thus;

4 - 25/8 = 7/8 gallons of Ginger Ale.

To confirm the answer, we sum up all the given quantities. Therefore;

3/4 + 1 1/2 + 7/8 + 7/8 = 4 gallons of punch.

Answer:

Step-by-step explanation:

Let [tex]m=x^2-5[/tex]

We want to express the equation [tex](x^2-5)^2-3x^2+15=-2[/tex] in terms of m.

Given: [tex](x^2-5)^2-3x^2+15=-2[/tex]

Factorizing the third and fourth term, we obtain:

[tex](x^2-5)^2-3(x^2-5)=-2[/tex]

Substituting  [tex]m=x^2-5[/tex], the above equation becomes:

[tex]m^2-3m=-2[/tex]

Since the options are not given, the equivalent equation is:

[tex]m^2-3m=-2[/tex]

It could also be written in a rearranged form as:

[tex]m^2-3m+2=0[/tex]

Answer:

C. Estimate the probability using your simulation.

Step-by-step explanation:

Answer:

x = 2

y = -1

Step-by-step explanation:

x² + y = 3      --------------------(i)

x² = 3 - y

x² - y = 5 ---------------------(ii)

substitute x² = 3 - y in equation (ii)

x² - y = 5

3 - y -y = 5        {Add like terms}

3 - 2y = 5              {Subtract 3 from both sides}

3 - 2y -3 = 5 - 3

-2y = 2             {divide both sides by -2}

-2y/-2 = 2/-2

y = -1

Substitute the value of y in equation (i)

x² + y = 3

x² - 1= 3         {Add  1 to both sides}

x² - 1 + 1 = 3+ 1

x² = 4

x = √4

x = 2

Answer:

2(5k + 1)

Step-by-step explanation:

5(2k - 3) + 17 =

10k - 15 + 17

10k + 17 - 15

10k + 2

2(5k + 1)

Answer:

The acceleration is 4.4 km/sec/sec

Step-by-step explanation:

Acceleration of motorcycle is 4.44 km/sec²

Starting velocity = 10 km/hr

Final velocity = 50 km/hr

Time taken = 9 second

Acceleration of motorcycle

Acceleration of motorcycle = [Final velocity - Initial velocity] / Time taken

Acceleration of motorcycle = [50 - 10] / 9

Acceleration of motorcycle = [40] / 9

Acceleration of motorcycle = 4.44 km/sec²

https://brainly.com/question/12550364?referrer=searchResults

Answer:

Step-by-step explanation:

In this problem, we have to find the area of an square adjacent to the third side of the right triangle.

To solve this problem, we need to use Pythagorean's Theorem, beacuse it's about a right triangle. Also, this theorem is about square areas, that's the geomtrical meaning of it.

[tex]h^{2} =32 \ u^{2} + 32 \ u^{2} = 64\ u^{2} \\h=\sqrt{64 \ u^{2} } =8u[/tex]

Therefore, the area of a square adjacent to the third side is 64 square units.

Answer:the answer is 8

Step-by-step explanation:

Answer:

the formulae for the volume of a cylinder= πr²h

so we then put the figures at their respective positions. and for the pie we put either 22/7 or 3.143 or 3.14

Answer:

Therefore the largest number that these fractions can be divided by to give them a whole number is

a) 8/15 = The largest number is 8/15

b) 18/35 = The largest number is 18/35

Step-by-step explanation:

A quotient is the result obtained by dividing two numbers.

So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.

Let's assume the whole number is 1

a. 8/15

8/15 ÷ x = 1

8/15 × 1/x = 1

8/15x = 1

We would cross multiply

8 = 15x

We would divide both sides by 15

8/ 15 = x

Hence the largest number that would divide 8/15 and give it a whole number = 8/15

b) 18/35

18/35÷ x = 1

18/35 × 1/x = 1

18/35x = 1

We would cross multiply

18 = 35x

We would divide both sides by 35

18/ 315 = x

Hence the largest number that would divide 18/35 and give it a whole number = 18/35

Answer:

The answer is 2/105

Step-by-step explanation:

first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.

Now, put the GCF you found over the LCM.

ANSWER: 2/105

This fraction is the largest number you can divide both numbers by to get a whole number.

Answer:

no real solutions

Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

First take the new price and subtract the original price

30-24 = 6

Divide by the original price

6/24 = 1/4 = .25

Change to percent form

25%

The price went up so it is an increase

25% increase

Answ believe 25%er:

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Step-by-step explanation:

If the log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.

Let a = log82x, b = log4x and c = log2x

If a = log8 2x; 8^a = 2x... (1)

If b = log4 x; 4^b = x ... (2)

If c = log2 x; 2^c = x...(3)

Since a, b c are in GP, then b/a = c/b

Cross multiplying:

b² = ac ...(4)  

From eqn 1, x = 8^a/2

x = 2^3a/2

x = 2^(3a-1)

From eqn 2; x = 4^b

x = 2^2b

From eqn 3: x = 2^c

Equating all the values of x, we have;

2^(3a-1) = 2^2b = 2^c

3a-1 = 2b = c

3a-1 = c and 2b = c

a = c+1/3 and b = c/2  

Substituting the value of a = c+1/3 and b = c/2 into equation 4 we have;

(c/2)² = c+1/3×c

c²/4 = c(c+1)/3

c/4 = c+1/3

Cross multiplying;

3c = 4(c+1)

3c = 4c+4

3c-4c = 4

-c = 4

c = -4  

Substituting c = -4 into equation 3 to get the value of x we have;

2^c = x

2^-4 = x

x = 1/2^4

x = 1/16    

Since the number x can be written as m/n, then x = 1/16 = m/n

This shows that m = 1, n = 16

m+n = 1+16

m+n = 17  

The required answer is 17.  

The value of m+n in which m and n are relatively prime positive integers is 17.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

There is a unique positive real number x such that the three numbers log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio. The progression is,

[tex]\log_82 x,\log_4x, \log_2x[/tex]

The above numbers are in geometric progression. Thus, the ratio of first two terms will be equal to the ratio of next two terms as,

[tex]\dfrac{\log_4x}{\log_82x}=\dfrac{\log_2x}{\log_4x}\\(\log_4x)^2={\log_2x}\times{\log_82x}\\[/tex]

Using the base rule of logarithmic function,

[tex]\left(\dfrac{\log x}{\log 4}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log8}\\\left(\dfrac{\log x}{\log 2^2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log2^3}[/tex]

Using the Power rule of logarithmic function,

[tex]\left(\dfrac{\log x}{2\log 2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{3\log2}\\\dfrac{\log x}{4}=\dfrac{\log 2+\log x}{3}\\3\log x=4(\log2x)\\\log x^3=\log(2x)^4\\x^3=16x^4\\x=\dfrac{1}{16}[/tex]

The number x can be written as

[tex]\dfrac{m}{n}[/tex]

Here, m and n are relatively prime positive integers. Thus, the value of m+n is,

[tex]m+n=1+16=17[/tex]

Hence, the value of m+n in which m and n are relatively prime positive integers is 17.

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

Answer: x = 2

Step-by-step explanation:

[tex]10x - 15x + 5= -45 + 40[/tex]

subtract 5

[tex]10x - 15x= -45 + 40-5[/tex]

Combine like terms;

[tex]-5x=-10[/tex]

Divide by -5

[tex]x=\frac{-10}{-5}\\ x=2[/tex]

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]

Answer:

1) 7 : 00 am, 2) 3 paletas de malvavisco, 2 bolsitas de lunetas, 16 recuerdos.

Step-by-step explanation:

(Both exercises are written in Spanish. Hence, explanations will be held in that language)

1) Las ecuaciones que describen el tiempo transcurrido en función del número de salidas de cada línea son, respectivamente:

Primera Línea

[tex]t_{1} = 15\cdot n_{1}[/tex]

Segunda Línea

[tex]t_{2} = 20\cdot n_{2}[/tex]

Donde t se mide en minutos. La siguiente relación se obtiene a partir de de igualar y sustituir el tiempo de ambas ecuaciones.

[tex]15\cdot n_{1} = 20\cdot n_{2}[/tex]

La siguiente relación es construida:

[tex]n_{1} = \frac{20}{15}\cdot n_{2}[/tex]

[tex]n_{1} = \frac{4}{3}\cdot n_{2}[/tex]

Tanto [tex]n_{1}[/tex] como [tex]n_{2}[/tex] son números naturales, si [tex]n_{2} = 3[/tex], entonces:

[tex]n_{1} = 4[/tex]

Finalmente, el tiempo transcurrido es:

[tex]t_{1} = 15\cdot (4)[/tex]

[tex]t_{1} = 60\,min[/tex]

En consecuencia, las salidas coincidirán a las 7 : 00 am.

2) El máximo número de recuerdos es determinado por el menor número de determinados dulces. Las bolsitas de lunetas representan el limitante, la razón de paletas de malvavisco a bolsitas de lunetas es:

[tex]x = \frac{48\,m}{32\,l}[/tex]

[tex]x = \frac{3\,m}{2\,l}[/tex]

La proporción óptima es de 3 paletas de malvavisco por cada 2 bolsitas de lunetas. Entonces, el máximo número de recuerdos es:

[tex]y = \frac{32}{2}[/tex]

[tex]y = 16[/tex]

El máximo número de recuerdos es 16.

Answer:

m+12

Step-by-step explanation:

m+12

Answer:

The graph changes from the original position to right 3 units and down 1 unit.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

3 cones

Step-by-step explanation:

This is why the formula for the volume of a cone is 1/3 (π×r^2)× h, while the volume for a cylinder is (π× r^2)× h, respectively.

Answer:

C) 3 Cones.

Explanation:

Hope this helps! :)