A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8
hours in the afternoon, how many hours does she work in the evening?

Answers

Answer 1

Let [tex]x[/tex] be the number of hours that the waitress works in the evening.

We know for our problem that she works [tex]5 \frac{1}{8} [/tex] in the afternoon and that she works 1.75 hours less in the afternoon than in the evening, so:
[tex]x=5 \frac{1}{8} -1.75[/tex]
Since [tex] \frac{1}{8} =0.125[/tex], we can rewrite our expression:
[tex]x=5.125-1.75[/tex]
[tex]x=3.375[/tex]

We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: [tex]3 \frac{3}{8} [/tex] hours.

Answer 2

Answer: The waitress works:[tex]\[{6 \frac{7}{8}}[/tex] hours in the evening

Let us denote the number of hours the waitress works in the evening as E and the number of hours she works in the afternoon as A.

Given that:

[tex]\[A = 5 \frac{1}{8} \text{ hours}\][/tex]

We can convert the mixed number to an improper fraction:

[tex]\[5 \frac{1}{8} = 5 + \frac{1}{8} = \frac{40}{8} + \frac{1}{8} = \frac{41}{8}\][/tex]

So, [tex]$ A = \frac{41}{8} $[/tex] hours.

The waitress works 1.75 hours less in the afternoon than in the evening. Thus, we have:

[tex]\[A = E - 1.75\][/tex]
[tex]\[\frac{41}{8} = E - 1.75\][/tex]

Converting 1.75 to a fraction:

[tex]\[1.75 = \frac{7}{4} = \frac{14}{8}\][/tex]

Now, the equation becomes:

[tex]\[\frac{41}{8} = E - \frac{14}{8}\][/tex]
[tex]\[E = \frac{41}{8} + \frac{14}{8}\]\[E = \frac{41 + 14}{8} = \frac{55}{8}\][/tex]

Convert the improper fraction back to a mixed number:

[tex]\[\frac{55}{8} = 6 \frac{7}{8}\][/tex]

Therefore, the waitress works:

[tex]\[{6 \frac{7}{8}}[/tex] hours in the evening

Related Questions

The sum of three consecutive integers is 162. what is the smallest og these integers?

Answers

Equation: x + (x+1) + (x+2) = 162 which results in 3x = 159; x = 53

Which expression is equivalent to (2x^5+7x^3)-(5x^2-4x^3)

Answers

[tex](2x^5+7x^3)-(5x^2-4x^3)=2x^5+7x^3-5x^2+4x^3\\\\=\boxed{2x^5+11x^3-5x^2}[/tex]

Answer:

2x^5+11x^3−5x^2

Step-by-step explanation:

Math Papa

What is the value of x?

Enter your answer in the box

Answers

this is a ratio problem:

26/18 = 39/x

to solve for x cross multiply: 18 * 39 = 702 and then divide by 26

702 / 26 = 27

x = 27

Can someone help with number 3

Answers

first put the numbers in order from smallest to largest:

201 , 218, 242, 257, 265, 275 , 301

find the midpoint ( there are 7 numbers so the mid point would be the middle number 257)

look at the numbers below the mid point ( 201, 218, 242)

the first quartile is the mid point of those numbers: 218

answer is 218

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.) 10.47 in.3 20.93 in.3 5.23 in.3 15.7 in.3

Answers

the answer is 5.23

to find the volume, you multiply radius squared by pi. the result of that is multiplied by the height divided by 3. [tex]V= 3.14* r^{2} \frac{h}{3} [/tex]

Answer:

The answer 5.23

Step-by-step explanation:

Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20. If she plans for them in 12 equal payments, what’s her monthly cost?

Answers

the answer would be 62.88

The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

We know the formula for the monthly payment:

[tex]\rm Monthly \ Payment \:=\:\dfrac{\left A\left(i\right)\left(1+i\right)^{n}\right}{\left(1+i\right)^{n}-1}[/tex]

It is given that:

Cathy is purchasing a DVD player and tv at the local electronic store.

The DVD player costs $49.36 and the tv cost $705.20.

If she plans for them in 12 equal payments,

Total cost(combining the cost of the DVD player and TV cost):

= $49.36 + $705.20

= $754.56

Per month payment = $754.56/12

Per month payment = $62.88

Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.

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A box has a volume of 135 feet3. The length is same as the height, and the width is 5 times the length. What are the dimensions of the box?

Answers

let the length be x ft, width=5x ft, height=x ft
thus the volume will be:
volume=length*width*height
thus
135=x×x×5x
135=5x³
solving for x we get:
27=x³
getting the cube root of both sides:
∛27=x³
x=3 ft
thus
length=3 ft, height=3ft, width=3×5=15 ft

Final answer:

The dimensions of the box are: length=3 feet, width=15 feet, and height=3 feet.

Explanation:

This is a classic problem of volume where we need to consider the volume formula of a box, which is length × width × height. The question states that the box has a volume of 135 cubic feet, with the length being the same as the height, and the width being 5 times the length.

To find the dimensions of the box, we can set up the equation: length × 5 ×length × length = 135. Simplifying, we get that the length is the cube root of 135/5, which equals to 3. Thus, the dimensions of the box are: length=3 feet, width=15 feet, and height=3 feet.

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In FGH, mF = 65, mG = 55, and mH = 60. Which side of FGH is the shortest?

Answers

Answer:
FH is the shortest side

Explanation:
In any triangle, the length of any side is proportional to the measure of its opposite interior angle.
This means that:
The shortest side is the side opposite to the smallest interior angle in the triangle
The longest side is the side opposite to the largest interior angle in the triangle

Now, in the given triangle we have:
measure angle F = 65°
measure angle G = 55°
measure angle H = 60°

We can note that angle G is the smallest angle.
Based on the above, the shortest side would be the one opposite to angle G which is side FH.

Hope this helps :)

Answer: Fh is the shortest

Becky is 18 and would like to buy a house when she is 36. What is the discount factor for today's prices if the housing values increase 6% per year?

Answers

Number of years before buying the house (n) = 36 -18 = 18 years
Yearly increase of house value (i) = 6% = 0.06

After 18 years,

The house value = (1+i)^n = (1+0.06)^18 = 2.85 the current value.

Additionally,
Increase in rate = (2.85-1)/2.85 = 0.6491 ≈ 0.65 = 65%. This is the discount rate for today's price. In other words, if the house is bought today, it will be paid for 65% less the price after 18 years.

Answer: 35.0%

Step-by-step explanation:

A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?

Answers

2⁄3 of a cup of chocolate chips and 4 cups of flour
how many cups of chocolate if using 6 cups of flour

= (6 x 2/3) / 4
= 4/4
=1

answer
1 cup of chocolate if using 6 cups of flour

A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?

Answers

Total flowers = 5 + 4 + 6 = 15
Pink roses = 4

P(two pink roses) = (4/15)(3/14) = 2/35

Answer: 2/35

2/35, you can just multiply 4/15 x 3/14

The perimeter of a rectangular field is 242 yards if the width of the field is 54 yards what is the lenght

Answers

perimeter = 2 (length + width)
242 = 2 (L +W)
121= L+W
121= L + 54
L = 121-54
L= 67 Yards

Simplify . 3 sqrt 10 + 7 sqrt 15 - 6 sqrt 10 -4 sqrt 15

Answers

Final answer:

To simplify the expression, combine terms with the same square root.

Explanation:

To simplify the expression 3√10 + 7√15 - 6√10 - 4√15, we can combine terms that have the same square root. In this case, the terms with √10 and √15 can be combined.

3√10 - 6√10 + 7√15 - 4√15

= (3 - 6)√10 + (7 - 4)√15

= -3√10 + 3√15

Therefore, the simplified expression is -3√10 + 3√15.

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how to tell if the histogram is is right skewed

Answers

If the center of the histogram leans closer to the left side than the right side, the histogram is skewed right.

Final answer:

A histogram is right skewed if the tail extends to the right, with most data clustering on the left, and the mode, median, and mean increase in that order. This indicates that the higher values are more spread out.

Explanation:

To determine if a histogram is right skewed, observe where the majority of the data points lie and the direction in which the tail extends. A right-skewed histogram, also known as a positively skewed histogram, will have a tail that extends to the right. In other words, the greater values are more spread out, and the bulk of the data clusters to the left, with fewer, higher-value outliers pulling the mean to the right.

The characteristics of a right-skewed distribution often include a mode that is less than the median, which in turn is less than the mean. Therefore, by calculating these three statistics, you can gain insights into the skewness of the data. Graphically, if the left side of the graph appears more compact and the right side looks stretched or 'pulled out', then the data are skewed to the right.

For example, if you have a dataset with the values 6, 7, 7, 7, 7, 8, 8, 8, 9, 10, you'll likely find that the mode is 7, while the median and mean are greater than 7, pointing towards a right-skewed distribution.

The rectangle shown has a perimeter of 62 cm and the given area. its length is 4 more than twice its width. write and solve a system of equations to find the dimensions of the rectangle.

Answers

what is the area?

taking the length to be 2x+4 and the width to be x,

[tex]62 = 2(2x + 4 + x)[/tex]
hence,
[tex]6x = 54[/tex]
and thus
[tex]x = 9[/tex]

that means the width is 9.
since we established that the length is (2x+4), we can substitute x=9 into the equation. hence,
[tex]2x + 4 = 2(9) + 4 = 22[/tex]
therefore the length is 22

use the area to check your answer!

Final answer:

By setting up a system of equations using the perimeter formula and the relationship between the rectangle's length and width, we determine that the width of the rectangle is 9 cm and the length is 22 cm.

Explanation:

To solve the problem, we must set up a system of equations based on the information provided about the perimeter and the given ratio between the length and width of the rectangle. The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the perimeter is 62 cm, and the length l is equal to 4 more than twice the width, which we can write as l = 2w + 4.

Using these two equations, we can create the following system to solve for the dimensions of the rectangle:

2l + 2w = 62 (perimeter equation)l = 2w + 4 (length is 4 more than twice the width)

Substitute the second equation into the first to get:

2(2w + 4) + 2w = 624w + 8 + 2w = 626w + 8 = 626w = 54w = 9 cm (width of the rectangle)

Now substitute w back into the second equation:

l = 2(9) + 4l = 22 cm (length of the rectangle)

Thus, the dimensions of the rectangle are a width of 9 cm and a length of 22 cm.

Please help me with this

Answers

y-intercept -is a little higher than 17, best what we can see 17.2
To find slope we can choose 2 points that are on the line.
For example, (180, 10) and (30, 16)
slope = (y2-y1)/(x2-x1)=(16-10)/(30-180)=6/(-150)= - 0.04

y= - 0.04x+17.2

Suppose that a "word" is any string of seven letters of the lower case english alphabet, with repeated letters allowed. how many "words" begin with r and end with t?

Answers

On the five remaining spaces for letters there are no restrictions (other than the letters must be lower case).

1* 26 * 26 * 26 * 26 * 26 * 1

So all letters including the r and t can be reused. That means that you have 26^5 possibilities which is 11881376 possible words.

1 * 26 * 26 * 26 * 26 * 26 * 1

I'm a little confused on how to solve this, can anybody help?

Solve the following system of equations and show all work.

y = x^2 + 3
y = x + 5

Answers

x^2 + 3 = x + 5
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0
x = 2 or x = -1

x^2 - x - 2 = 0
(x - 2)(x + 1) = 0
x = 2 or x = -1

49a = 245.....................................................

Answers

you would divide 245 by 49 to get a
a= 5

Hello there, and thank you for posting your question here on brainly.

Short answer: 5

Why?

So, we have the equation 49 * a = 245, we have to find what 'a' is to make the equation true. To find this, divide the two known numbers, which are 245 and 49. 245 / 49 ==> 5

Hope this helped you! ♥

Find the point on the line 4x+4y+5=0 which is closest to the point (−2,−3).

Answers

we know that

The point on the line 4x+4y+5=0 which is closest to the point (−2,−3) will be located on the line perpendicular to the given line and will go through the given point

step 1
the slopes of two perpendicular lines
are
m1*m2=-1
given line
4x+4y+5=0------> 4y=-4x-5----> y=-x-1.25
m1=-1
so
m2=1

step 2
find the equation of the line with m2=1 and point (−2,−3)
y-y1=m*(x-x1)-----> y+3=(1)*(x+2)----> y=x+2-3-----> y=x-1

step 3
The point on the line 4x+4y+5=0 which is closest to the point (−2,−3) is the intersection of the line y=-x-1.25 and the line y=x-1

using a graph tool
see the attached figure

the solution is the point (-0.125,-1.125)

How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the interest rate on both accounts is $3.7%

Answers

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1000\\ r=rate\to 3.7\%\to \frac{3.7}{100}\to &0.037\\ t=years\to &5 \end{cases} \\\\\\ A=1000e^{0.037\cdot 5}\implies A=1000e^{0.185}\implies A\approx 1203.21844\\\\ -------------------------------[/tex]

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$1000\\ r=rate\to 3.7\%\to \frac{3.7}{100}\to &0.037\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\to &4\\ t=years\to &5 \end{cases} \\\\\\ A=1000\left(1+\frac{0.037}{4}\right)^{4\cdot 5}\implies A=1000(1.00925)^{20}\\\\\\ A \approx 1202.195676[/tex]

get the difference of the amounts.

Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

[tex]A= Pe^{rt}[/tex] , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously , [tex]A=1000e^{3.7\times5/100}[/tex]

⇒[tex]A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013[/tex]

Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

[tex]A=P(1+\frac{r/4}{100} )^{4t}[/tex], where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, [tex]A=1000(1+\frac{3.7/4}{100} )^{4\times5}[/tex]

⇒[tex]A=1000(1+\frac{3.7}{400} )^{20}[/tex]

⇒[tex]A= 1202.19567617[/tex]

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228

The coefficient of the term 76x2 is:

(2 is the exponent of 76x)

Answers

The definition of a coefficient is the number BEFORE the variable. So in 76x^2, the coefficient is 76.

Mr. Calloway has a rectangular yard that is 120 feet wide and 80 feet deep. To keep his dogs on his property, he needs to build a fence. How much fencing does he need

Answers

Final answer:

To find the amount of fencing needed, we calculate the perimeter of the yard. The formula is 2*(length + width), equating to 2*(120 feet + 80 feet), which equals 400 feet.

Explanation:

The area needed to be fenced is the perimeter of the rectangular yard. We can find the perimeter of a rectangle by using the formula: Perimeter = 2*(length + width). In this case, the length of the yard is 120 feet and the width is 80 feet. So, the perimeter of the yard would be: Perimeter = 2*(120 feet + 80 feet) = 2*200 feet = 400 feet. Therefore, Mr. Calloway will need 400 feet of fencing to surround his yard.

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help needed please.

Answers

The correct answer for the question shown above is: Gabriel should use 2 kilograms of compost.

The explanation is shown below:

1. To solve the exercise you must apply the following proccedure:

2. You have that He wants it to be 2 parts compost to 10 parts potting soil and he wants to end up with 10 grams of mix. Therefore:

=(2/12)x12 kilograms
=0.166x12 kilograms
=2 kilograms

Please help me I'm so dumb

Answers

A= 2 pi r h + 2 pi r^2

r=8cm and h = 3

plug and chug
A= 552.92

is what i calculated

Its 552.92 simplified or 176pi

What is the length of chord JK?

Answers

The 2 chords are equidistant from the center and are therefore equal.
So, chord JK = LM
3p + 2 = 7p -2
4p = 4
So, p = 1
Since p = 1 then chord JK = 3p +2
JK = 3*1 + 2
JK = 5
Answer is "C"

If the sample size gets smaller, how does that affect the shape of the smapling distribution of sample means

Answers

It is less normally distributed because there are less data points falling within the true mean.

This student council set a goal of raising at least $500 in a flower sale, it has raised $415. How many more dollars does the student council need to raise to reach its goal

Answers

85.00 more dollars are needed to complete the goal.

Currently, they've raised 415 and need to raise 500. This means the amount in between these two amounts is the amount left to raise. This is known as a difference (because its how different they are from each other) and is found by subtraction. 500 - 415 = 85.

Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for mc022-1.jpg and round to the nearest whole number.

Answers

A. 22 hope this helps

Answer: Approximately 21.98cm larger.

Step-by-step explanation: The area of a circle is A = π·r², where r is the radius of the circle.

Kyle's circle has a diameter of 8cm, which means it has a radius of 4cm.

Calculating the area, it is:

A1 = 3.14.4² = 50.24

Paige's circle has a radius of 3cm, so the area will be:

A2 = 3.14·3² = 28.26

To see how much larger:

50.24 - 28.26 = 21.98cm

So Kyle's circle is 21.98 cm larger.

A bird seed feeder has the approximate shape of a cone with a diameter of 12 centimeters and a height of 25.5 centimeters. What is the best approximation for the volume of the bird seed feeder? 320.44 cm³ 961.33 cm³ 2883.98 cm³ 3845.31 cm³

Answers

The equation for the volume of a cone is:
[tex]V= \frac{1}{3} \pi r^{2} h [/tex]
where V = volume of the cone, r = radius of the circular base, and h = height of the cone.

You are told that the height, h = 25.5 cm. You are also told that the diameter is 12 centimeters. Remember that the diameter of a circle is just twice the radius. Divide 12 by 2 to get the radius: r =12/2 = 6 cm.

Since you know h = 25.5 cm and r = 6 cm, plug these values into your equation for volume of a cone and solve for V, volume:
[tex]V= \frac{1}{3} \pi r^{2} h\\ V= \frac{1}{3} \pi (6) ^{2} (25.5)\\ V \approx 961.33[/tex]

------

Answer: B) 961.33 cm³

Answer: Volume of the bird seed feeder = 961.33 cm³

Step-by-step explanation:

Given shape of bird seed feeder of a cone

Diameter =12cm

So Radius =D/2 =12/2

=6cm

Height = 25.5cm

Volume of cone = [tex]\frac{1}{3 }\times \pi r^{2}h[/tex]

Volume = [tex]\frac{1}{3}\times\pi6^{2}\times25.5[/tex]

Volume =[tex]\frac{1}{3}\times \frac{22}{7}\times36\times25.5[/tex]

Volume = [tex]\frac{20196}{21}[/tex]

Volume = 961.33 cm³(approx)

So the volume of bird seed feeder is 961.33 cm³

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A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8 hours in the afternoon, how many hours does she work in the evening?

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A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8
hours in the afternoon, how many hours does she work in the evening?