What is the quotient of y/4 divided y/8

If the first term of an AP is 'a' and the common difference is 'd', then the sum of n terms of an AP is

[tex] \frac{n}{2} \times 2a + (n - 1)d[/tex]

Answer: the correct answers is $14.50

Step-by-step explanation:

The amount that the cafe pays per hour will be $14.50 per hour.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given,

The rate of the library = $13 per hour.

For 12.5 hours.

Earning from library = 13 x 12.5 = $162.5

Cafe pay per hour = x

For 20.5 hours.

Earning from cafe = 20.5x

Total earning = 162.5 + 20.5x

20.5x = 459.75 - 162.5

x = 14.5

Hence "The amount that the cafe pays per hour will be $14.50 per hour".

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Answer:

10 cups

Step-by-step explanation:

He buys 1 pint of juice and 1/2 gallon of juice.

We have to convert pint and gallon to cups and then add them.

1 pint = 2 cups

1 gallon = 16 cups

1/2 gallon = 1/2 * 16 = 8 cups

Therefore,

2 + 8 = 10 cups

Fernando buys 10 cups of juice.

Answer:

a=14

Step-by-step explanation:

if a=10, 10/2 = 5 plus 9 = 14

Answer:

The anwer is 14

Step-by-step 1explanation:

10/2= 5 and 5 plus 9 is 14

Answer:

46

Step-by-step explanation:

32+14 = 46

46 ppl study spanish

Answer:

A = the Venn diagram and the middle section is 41 because :

14 + 25 = 39

80 - 39 = 41

B = 25 ( because of diagram )

C = the number of kids who studied both and only studied it which is:

41 + 14 = 55 (so C = 55).

Answer: x = 4

Step-by-step explanation:

You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

We can see here that doing sine will give us the length of the opposite

[tex]sin19.47 = \frac{x}{12}[/tex]. Do sine of 19.47, then multiply by 12. I got 4

Answer:

[tex]7.040 \times {10}^{3} [/tex]

Step-by-step explanation:

First write this number like this

[tex]7.040[/tex]

Then,

[tex]7.040 \times {10}^{3} [/tex]

To check whether your answer is correct you can do like this

[tex]7.040 \times {10}^{3} [/tex]

[tex] {10}^{3} = 10 \times 10 \times 10 \\ \: \: \: \: \: \: \: \: \: \: = 1000[/tex]

[tex]7.040 \times 1000 \\ = 7040[/tex]

yes, your answer is correct.

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Both conclusions are correct

Step-by-step explanation:

Ivan: The product of an even number of negative fractions is always positive.

When even numbers of same negative fractions are multiplied together, the product is positive.

For instance: -1 × -1

Since the total numbers to be multiplied are even (two -1), the product becomes +1

Ivan's conclusion is correct.

Polina: The product of an odd number of negative fractions is always negative.

When odd numbers of same negative fractions are multiplied together, the product is negative.

For instance: -1 × -1 × -1 × -1 ×-1

Since the total numbers to be multiplied are odd (five -1), the product becomes -1

(-1 × -1) × (-1 × -1) ×-1

= +1 × +1 × -1

The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value

= +1 × -1

= -1

Polina's conclusion is correct

Both are correct.

Answer:

both of them

Step-by-step explanation:

Answer:

12 kg

Step-by-step explanation:

15%×80 =

= 15×80/100

= 15×8/10

= 120/10

= 12 kg

Answer:

x = 8

Step-by-step explanation:

8 minus 16 equals to a negative answer, resulting to -8.

Answer:

x = 8

Step-by-step explanation:

Add 16 to both sides of the equation.

x = −8 + 16

Add − 8 and  16

 x = 8

Answer:

x= 50

Step-by-step explanation:

The unknown angle is also x since we have an isosceles triangle and the bases angle are the same

The sum of the angles of a triangle are 180 degrees

x+x+80 =180

2x+80 = 180

Subtract 80 from each side

2x= 180-80

2x= 100

Divide by 2

2x/2 =100/2

x= 50

Answer:

[tex]x=50[/tex]°

Step-by-step explanation:

This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:

(180°-80°)÷2=x°

100°÷2=x°

50°=x°

x°=50°

Answer:

bdudbrksowodndiwnsonsuendumdjdndoamslals

The right answer is 7/3

hope it helps

Good luck on your assignment

Answer:

1.1 x 10^24

Step-by-step explanation:

Mass of earth: 5.97 x 10^24

Mass of venus: 4.87 x 10^24

There are 24 numbers in the mass of venus before the 4, in 4.87. So, that is why we use 10^24.

5.97-4.87=1.1

Answer:

D

Step-by-step explanation:

Of these four functions, D is the only one that has an inverse.  The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.

Answer: A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Step-by-step explanation:

Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.

Cost of scooter = $600

Weekly installment = $18.75

Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.

Let 'x' be the number of weeks .

Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)

[tex]\Rightarrow\ 150=600-18.75x[/tex]

[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]

i.e. After 24 months when she has $150 left to pay for the motorized scooter.

Hence, the correct answer is :

A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Answer:

B)-18.75x+600=150

Step-by-step explanation:

Got it right on my test!

Answer:

24 ^ 8

Step-by-step explanation:

sqrt(24) ^ 16th power

Rewriting the square root as  ^ 1/2

24 ^ 1/2 ^ 16

We know that a^b^c = a^ (b*c)

24 ^ (1/2*16)

24 ^ 8

Answer:

2²⁴ *3⁸ or  24⁸

Step-by-step explanation:

the square root of 24 to the 16th power  can be written as 24

([tex]\sqrt{24}[/tex] )¹⁶

√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]

then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸

Step-by-step explanation:

work is shown and pictured

Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days =  10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480  ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

Answer:

188.5 cm^2

Step-by-step explanation:

a) Your volume is correct.

b) The curved surface area of the cone is called the lateral area.

Its formula is:

LA = (pi)rs,

where pi is 3.14159...

r = radius of the base

s = slant height of the cone

Here, r = 6 cm, and s = 10 cm

LA = (3.14159)(6 cm)(10 cm)

LA = 188.5 cm^2

Answer:

you have 33 cans and so you have completed 166% of your goal

Step-by-step explanation:

I dont know

166 percent of the goal person as collected the cans.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, a goal to collect 50 cans for a food drive.

Person as collected 83 cans.

Here, x% of 50 =83

x/100 ×50 =83 (word "of" means multiplication)

x/2 =83

x=166 (Transpose 2 to RHS of the equation)

So, x=166%

Therefore, 166% of the goal person as collected the cans.

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Answer:

8

Step-by-step explanation:

There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat

Answer:80milliliters/pound

Step-by-step explanation:

Rate per a pound = 20/15=4/3

For 60pounds =4*60/3

=80milliliter/pound

Answer:

C

Step-by-step explanation:

y is greater than or equal to 14.

Answer:

Option C

y _> 14

Step-by-step explanation:

here, y is greater than or equal to 14

Answer:

69.08 cm

Step-by-step explanation:

Volume of each container

= l*b*h

= 20cm*30cm*50cm

= 30000cm ^3

= 0.03 m^3

The volume of 200 of these containers

= 0.03*200

= 6 m^3

The volume of the tank is also equal to 6m^3

Volume of tank = πr^2h

πr^2h= 6

πr^2= 6/4

r^2 = 6/4*7/22

= 42/88

= 0.477

r= √0.477

= 0.6908m

= 69.08cm

Answer:

Base radius  = 69.08 cm.

Step-by-step explanation:

Volume of each container = 20*30*50

= 30,000 cm^3

200 of these has a volume of  

200 * 30000

= 6,000,000 cm^3.

The volume of the cylinder = π r^2 h

= π r^2 * 400 = 6000000

r^2 = 6000000 / (π  * 400)

r^2 = 4774.65

r = 69.08 cm.

The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.

A function is a relation between two sets one is called domain and the other one is range.

Given functions are:

h(x) = 2x

f(x) = 8x² − 3x

g(x) = 19x

p(x) = 5x³ + 3

Here, p(x) = 5x³ + 3 is the only cubic function.

As the degree of the function p(x) is highest among all.

Therefore, this function p(x) grows at the fastest rate for increasing values of x.

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Answer:

[tex]1.8cm[/tex]

Step-by-step explanation:

Use the volume of cube formula.

[tex]\displaystyle V=s^3[/tex]

[tex]\displaystyle5.832=s^3[/tex]

[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]

[tex]\displaystyle s=1.8[/tex]

Answer:

a= 1.8 cm

Step-by-step explanation:

V= a³

Answer:

Jeremy's acceleration is about [tex]1\,\frac{m}{s^2}[/tex]  at t =10 s

His average speed is about 44.5 m/s in this section of his jump approximating with points on the curve (under-estimate)

His average speed is about 46 m/s if using the tangent line (over estimate)

Step-by-step explanation:

Jeremy's acceleration can be estimated by the curve's derivative at that point. That is the slope of the tangent line to the velocity curve at x = 10 sec. Please see attached image where the tangent line is drawn in orange, and the points to use to calculate its slope are drawn in green.

These points are : (6, 42) and (14,50) which using the slope formula give:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{50-42}{14-6}=\frac{8}{8} \frac{m}{s^2} = 1\,\frac{m}{s^2}[/tex]

So his acceleration at that point is about [tex]1\,\frac{m}{s^2}[/tex]

Now, using about the same interval of x-values (from 6 to 14), the corresponding speeds are approximately: 40 (for time 6 seconds) and 49 (for time 14 seconds (look for the red dots on the attached image). Since  the average velocity is given by the integral of the function between those points divided by the length of the interval where it is calculated:

[tex]v_{average}=\frac{area}{interval\,\,length}[/tex]

and we don't have the actual velocity function to estimate the integral, we can approximate this area by that of a trapezoid that connects the red dots with the bottom of the horizontal axis (see red trapezoid in the image). Clearly from the image, this approximation would give us an under-estimate of the actual average speed.

The area of this trapezoid is: approximately:

[tex]Trapezoid\,\, area=(49+40)\,8/2=356[/tex]

Then the average velocity estimated from it is:

[tex]v_{average}=\frac{356}{8} \frac{m}{s} =44.5\,\frac{m}{s}[/tex]

If the area is approximated instead with the trapezoid form by the green points we used to calculate the acceleration (this would give us an over-estimate):

[tex]Trapezoid\,\, area=(50+42)\,8/2=368[/tex]

Then the average velocity estimated from it is:

[tex]v_{average}=\frac{368}{8} \frac{m}{s} =46\,\frac{m}{s}[/tex]

while his actual instantaneous velocity seems to be about 46 m/s from the graph

Answer:

a) 1.0

b) s=45

Step-by-step explanation:

Answer:

a)3⁴

b)7⁵

c)10²

d)5⁷

Step-by-step explanation:

a)3²×3² = 3^2+2=3⁴

b)7×7⁴=7¹×7⁴=7^1+4=7⁵

c)10⁹÷10⁷=10^9-7=10²

d)5⁸÷5=5⁸-5¹=5^8-1=5⁷

Answer:

20 feet

Step-by-step explanation:

5 descent =>100 feet

1 descent => 100÷5

= 20 descent