A washer and dryer cost $600 combined. The cost of the washer is three times the cost of the dryer

The small sign's perimeter is 36 inches

Step-by-step explanation:

The scale factor between two figures is obtained by:

[tex]Scale = \frac{P_{l}}{P_{s}}[/tex]

So,

We know that

[tex]Scale= 5:3\\P_l = 60\ in\\[/tex]

Putting the values in the above equation of scale factor we get

[tex]\frac{5}{3} = \frac{60}{P_s}[/tex]

Cross multiplication

[tex]5 * P_s = 60*3\\5P_s = 180[/tex]

Dividing both sides by 5

[tex]\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36[/tex]

Hence,

The small sign's perimeter is 36 inches

Keywords: Scale factor, Ratio

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Step-by-step explanation:

y = mx + b

Your equation is y = 3/5x, which means you're "missing" the B

Whichhhhh, just means you're starting at (0,0)

Hopefully my drawing kind of explains it better

Answer:

Julie worked 18 hours at Job A and 17 hours at Job B.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Rate per hour at Job A = US$ 6.10

Rate per hour at Job B = US$$ 7.40

Hours at Job A = x

Hours at Job B = 35 - x

Total of hours worked by Julie = 35 hours

Total weekly earnings = US$ 235.60

2. How many hours did she work at each job the week that she made $235.60?

For finding the result, we will use the following formula:

6.10x + 7.4 (35 - x) = 235.60

6.10x + 259 - 7.4x = 235.60

-1.3x = 235.60 - 259 (Subtracting 259 to both sides)

-1.3x = - 23.40

x = -23.4/-1.3 (Dividing by -1.3)

x = 18

Julie worked 18 hours at Job A, so she worked 17 (35 - 18) hours at Job B.

3. Proof that x = 18 is correct.

6.10x + 7.4 (35 - x) = 235.60

6.10 (18) + 7.4 (35 - 18) = 235.60

109.80 + 125.80 = 235.60

235.60 = 235.60

It's proven that x = 18 is correct.

Answer:

Step-by-step explanation:

Let x represent the number of hours worked at Job A and 35-x represent the number of hours worked at Job B.

($6.10 × x) +$7.40 × (35-x) =$235.60

Solving for x

$6.10x + $259 - $7.40x = $235.60

Collect like terms and solve for x

$6.10x-$7.40x=$235.60-$259

-$1.3x=-$23.4

x=18hours for Job A while 35-x=17hours for Job B

Answer:

15

Step-by-step explanation:

Thank me and follow me plz

Answer:

15 bc 22-7 = 15

Step-by-step explanation:

Answer:

10,000 cups

Step-by-step explanation:

Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2

Let's suppose a cup of regular ice cream would have 100 parts of fat.

The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.

If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it

These numbers won't change if we used another number instead of 100 in the example shown.

Answer:

5 centimeters of snow per hour.

Step-by-step explanation:

We are given an equation d = 5h, where d = depth of snow and h = hours of the snowstorm.

We need to find the number of centimeters of snow that accumulate in 1 hour.

In order to find the number of hours that accumulate the  snow to 1 centimeter, we need to plug d=1 in the given equation.

On plugging d=1, we get

1= 5h.

Dividing both sides by 5, we get

1/5 = h.

Therefore, it would take 1 hour for 5 centimeters of snow to accumulate in Harper's yard.

The amount of snow accumulation per hour varies, ranging from 0.5 cm in light snow to up to 5 cm in heavy snowfall. However, actual snow accumulation can be influenced by various factors such as temperature, wind speed, and humidity.

The amount of snow accumulation per hour can vary greatly depending on the intensity of the snowfall. For example, a light snowfall might result in as little as 0.5 cm of snow per hour while a heavy snowfall could accumulate up to 5 cm of snow per hour. However, it's important to note that these are just average estimates and actual snow accumulation can be influenced by various factors such as temperature, wind speed, and humidity.

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Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

To Find:

How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.  

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways [tex]=(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})[/tex]

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

(a) D(c) = f + cx    

(b) Delivery fee is $5.

(c) The cost per calendar is $19.

Step-by-step explanation:

Let,

Delivery fee = f

Cost of calendar = x

No. of calendars = c

Total cost with delivery fee = D

Therefore,

The cost of 2 calendars plus delivery fee is $43.

D(c)= f + cx

43 = f + 2x Eqn 1

The cost of 4 calendars plus delivery is $81.

D(c) = f + cx

81 = f +4x    Eqn 2

(a)Write an equation that gives the  total cost as a function of calendars bought.

D(c) = f + cx      

(b)What is the delivery fee?

Multiplying Eqn 1 by 2;

[tex]2(43 = f + 2x)\\86=2f+4x\ \ \ Eqn\ 3[/tex]  

Subtracting Eqn 2 from Eqn 3;

[tex](2f+4x)-(f+4x)=86-81\\2f+4x-f-4x=5\\f=5[/tex]

Delivery fee is $5.

(C)What is  the cost per calendar?

Putting f=5 in Eqn 1;

[tex]43=5+2c\\43-5=2c\\2c=38\\[/tex]

Dividing both sides by 2

[tex]\frac{2c}{2}=\frac{38}{2}\\c=19[/tex]

The cost per calendar is $19.

Keywords: function, linear equation

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Answer:

1 movie ticket costs $9. I hope this helps!

Step-by-step explanation:

Are you wondering how much the tickets would cost seperatly? If that's the case then you would divide $45 by 5 which would be $9 for each ticket.

Answer:

53 degrees

Step-by-step explanation:

Since we don't know the measure of the radius

UZ =127

UX=127

ZX =154

 360-154=  106

106/2=53

XY=53

YZ=53

Answer:

[tex]111\ grams\ of\ zinc[/tex]

Step-by-step explanation:

Let

x -----> grams of zinc

y ----> grams of copper

we know that

[tex]\frac{x}{y}=\frac{3}{17}[/tex] -----> equation A

For y=629 grams of copper

substitute in the equation A and solve for x

[tex]\frac{x}{629}=\frac{3}{17}[/tex]

[tex]x=\frac{3}{17}(629)[/tex]

[tex]x=111\ grams\ of\ zinc[/tex]

Answer:

4

2

3

1

Step-by-step explanation:

1) [tex](p^6.q^{{\frac{3}{2}}})^{{\frac{1}{3}}}[/tex]

Therefore, [tex]$ p^{\frac{6}{3}}.q^{\frac{3}{2}.\frac{1}{3}} $[/tex]

[tex]$ \implies p^2.q^{\frac{1}{2}} $[/tex]

2) [tex]$ \frac{p^5}{p^{-3}q^{-4}} $[/tex]

[tex]$ = p^5.p^3.q^4 = p^8.q^4 $[/tex]

Now, [tex]$ (p^8q^4)^{\frac{1}{4}} $[/tex]

[tex]$ \implies p^{\frac{8}{4}}.q^{\frac{4}{4}} $[/tex]

[tex]$ = p^2. q $[/tex]

3) [tex]$ (\frac{p^2.q^7}{q^4} )^{\frac{1}{2} $[/tex]

[tex]$ \implies p^{{\frac{2}{2}}}.q^{\frac{3}{2}} $[/tex]

[tex]$ \implies pq^{\frac{3}{2}} $[/tex]

4) [tex]$ \frac{(pq^3)^{{\frac{1}{2}}}}{(pq)^{{\frac{-1}{2}}}} $[/tex]

[tex]$ \implies p^{{\frac{1}{2}}}q^{{\frac{3}{2}}}. p^{{\frac{1}{2}}}.q^{{\frac{1}{2}}}} $[/tex]

[tex]$ = pq^2 $[/tex]

Hence, the answers.

Answer:

It's in standard form.

Answer:

Standard Form

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

You want to find the compatible numbers with the common denominator so you want to multiply by ones until you get something with the same denominator. In this case it's 12, 1/3 x 4 = 4/12 and 1/4 x 3 = 3/12, Then subtract. Therefore you get your answer 1/12

George ate 1/12 of the pan of brownies.

There are 1/3 pan of brownies. George eats 1/4 of this pan.

In order to find out the fraction of the brownie pan that George ate, you need to multiply the proportion of the pan that still has brownies with the proportion that George ate.

The total fraction of the pan he ate is:

= Amount of pie George has x Amount of brownies he eats

= 1/3 x 1/4

= 1/12 of the pan

This means that out of the whole pan of brownies, George ate 1/12.

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Answer:

The rational zero of the polynomial are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex]  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

[tex]\dfrac{\textrm factor of P}{\textrm factor Q}[/tex] ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , [tex]\dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}[/tex]

I.e  [tex]\dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}[/tex] = [tex]\frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }[/tex]

Or, The rational zero are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex]

Hence The rational zero of the polynomial are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex]  .  Answer

Answer:

The Time taken to cover the distance of 3 miles at the speed of 2 miles per hour is 1.5 hours

Step-by-step explanation:

Given as :

The distance cover while walking = 3 miles

The Speed with which it walk 3 miles = 2 miles per hour

Let the time taken to cover the distance = T hours

Now,

∵ Time = [tex]\dfrac{\textrm Distance}{\textrm Speed}[/tex]

Or, T =  [tex]\dfrac{\textrm 3}{\textrm 2}[/tex]

∴ T = 1.5 hours

So, time taken is 1.5 hours

Hence The Time taken to cover the distance of 3 miles at the speed of 2 miles per hour is 1.5 hours  Answer

Answer:

2X

Step-by-step explanation:

bill has X and Ben has twice X so Ben has 2X

If Bill has x pence, the number of pence that Ben has will be 2x.

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

The linear equation is shown as, y=mx.

It is given that,

Bill has x pence.

Ben = 2 × amount of money that Bill has

Ben = 2x

Thus, if Bill has x pence, the number of pence that Ben has will be 2x.

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The points located 5 units from the point M (-6, 6) are (-1, 6), (-11, 6), (-6, 11) and (-6, 1).

To find a point located 5 units from point M in any direction, you can use the coordinates of point M and adjust them based on the distance.

If point M is located at (-6, 6), and you want a point 5 units away, you can choose a direction (left, right, up, or down) and adjust the coordinates accordingly.

For example, if you want a point 5 units to the right of M, you add 5 to the x-coordinate:

[tex]x_{new[/tex] = -6 + 5 = -1

So, a point located 5 units to the right of M is (-1, 6).

If you want a point 5 units to the left of M, you subtract 5 from the x-coordinate:

[tex]x_{new[/tex] = -6 - 5 = -11

So, a point located 5 units to the left of M is (-11, 6).

Similarly, the y-coordinate can be modified for points 5 units above or below M.

For example, if you want a point 5 units to the top of M, you add 5 to the y-coordinate:

[tex]y_{new[/tex] = 6 + 5 = 11

So, a point located 5 units to the top of M is (-6, 11).

If you want a point 5 units to the bottom of M, you subtract 5 from the y-coordinate:

[tex]y_{new[/tex] = 6 - 5 = 1

So, a point located 5 units to the bottom of M is (-6, 1).

Answer:

3.84335227

Step-by-step explanation:

like the photo

Answer:

Step-by-step explanation:

[tex]\bold{STEP\ 1:}\\\\\dfrac{6}{7}\ of\ 28=\dfrac{6}{7\!\!\!\!\diagup_1}\cdot28\!\!\!\!\!\diagup^4=(6)(4)=24\\\\\bold{STEP\ 2:}\\\\_{\bold{METHOD\ 1}}\\\\p\%=\dfrac{p}{100}\to30\%=\dfrac{30}{100}=0.3\\\\x-\text{a number}\\\\0.3x=24\qquad\text{divide both isdes by 0.3}\\\\\dfrac{0.3x}{0.3}=\dfrac{24}{0.3}\\\\x=80[/tex]

[tex]_{\bold{METHOD\ 2}}\\\\\begin{array}{ccc}30\%&-&24\\\\100\%&-&x\end{array}\qquad\text{cross multiply}\\\\\\(30)(x)=(100)(24)\\\\30x=2400\qquad\text{divide both sides by 30}\\\\\dfrac{30x}{30}=\dfrac{2400}{30}\\\\x=80[/tex]

[tex]_{\bold{METHOD\ 3}}\\\\\begin{array}{cccc}30\%&-&24&\text{divide both sides by 3}\\\\\dfrac{30\%}{3}&-&\dfrac{24}{3}\\\\10\%&-&8&\text{multiply both sides by 10}\\\\(10\%)(10)&-&(8)(10)\\\\100\%&-&80\end{array}[/tex]

The value of the number will be;

⇒ x = 80

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The algebraic expression is,

''If 6/7 of 28 is equal to 30% of that number''

Now,

Let the number = x

So, We can formulate;

⇒ 6/7 × 28 = 30% of x

Solve for x as;

⇒ 6 × 4 = 30/100 × x

⇒ 24 = 3/10 × x

⇒ 24 × 10 = 3x

⇒ 240 = 3x

⇒ x = 240/3

⇒ x = 80

Thus, The value of the number will be;

⇒ x = 80

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Answer:

730.36

Step-by-step explanation:

.24 × 589= 141.36

141.36+589=730.36

so the original price would be 730.36

Answer:

10. 7n - 1 < -8

Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:

7n - 1 (+1) < - 8 (+1)

7n < - 8 + 1

7n < - 7

Isolate the variable, n. Divide 7 from both sides:

(7n)/7 < (-7)/7

n < -7/7

n < -1

n < -1 is your answer.

11. 3 > -7v + 4v

Combine like terms, then isolate the variable, v. First, add -7v and 4v together.

3 > (-7v + 4v)

3 > (4v - 7v)

3 > (-3v)

Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:

(3)/-3 > (-3v)/-3

3/-3 > v

-1 < v

v > -1 is your answer.

~

Answer:

18 (3) + 18 (X) = 18 (3+X)

Step-by-step explanation:

AB + AC = A ( B + B )

A is the common factor

Factor to find common factor

54 = 2 * 3 * 3 * 3

18 = 2 * 3 * 3 * x

greatest common factor (GCF) = 2 * 3 * 3 = 18

18 (3) + 18 (X) = 18 (3+X)

hope it helps! <3

Step-by-step explanation:

This should give you an idea the acceleration here is 9.81 because gravity and the equation is a kinematic equation

Answer:

Ratio of PQC to ABC is 2:9.

Step-by-step explanation:

In ΔBRQ and ΔBPC

∠BQR = ∠BCP (given) and ∠B is common for both triangles, so from AAA similarity ΔBRQ and ΔBPC are similar.

⇒ BQ : QC = BR : RP = 2 : 1    →(1)

now draw perpendiculars from points A and P to BC line segment. Call the projected points as A' and P'.

It is clear that lines AA' and PP' are parallel. So in ΔBPP' and ΔBAA' we have AAA similarity with common angle at B.

⇒PP' : AA' = BP : BA = 2 : 3    →(2) (∵ AP : PB = 1 : 2)

area of ΔPQC = 0.5×PP'×QC

area of ΔABC = 0.5×AA'×BC

area of ΔPQC : area of ΔABC = (0.5×PP'×QC)/(0.5×AA'×BC)

                                               =(PP'/AA')×(QC/BC)

                                               =(2/3)×(1/3) (∵ from (1) and (2))

                                               =2/9.

∴ Ratio of PQC to ABC is 2:9

Answer:

[tex]\displaystyle \frac{x^5}{3} + \frac{2x^4}{45} + \frac{4x^3}{675} + \frac{8x^2}{10125} + \frac{16x}{151875} + \frac{32}{2278125} + \frac{64}{2278125[15x - 2]} = \frac{f(x)}{g(x)}[/tex]

All work is shown above. ↑

I am joyous to assist you anytime.

The simplified expression will be equal to - 6x² - 24x + 12p

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols; which can also be used to indicate the logical syntax's order of operations and other features.

Given that 5x - 3( x + 4)2x + 12p

Solving;

5x - 3( x + 4) 2x + 12p

5x - 3(2x² + 8x) + 12p

5x - 6x² - 24x + 12p

- 6x² - 24x + 12p

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Answer:

160

Step-by-step explanation:

2+2=4

4 x 40= 160

The mile symbol 'm' was commonly used before the widespread adoption of the metric system. The total miles taken by Ashlynn to ride her bike to school and home in 40 days is 160.

A mile is defined as the unit of length which is exactly equal to 5280 feet or 1760 yards and it is standardized as exactly 1609.344 meters. It is the largest unit which is commonly used to measure the distance between places that are far from each other.

Here the total miles covered by the bike is 2 + 2 = 4

The total miles covered by Ashlynn = 4 × 40 = 160

A mile is a customary unit of distance. It is commonly used to express the distance between cities, roads and the lengths of the rivers. The symbol of mile is denoted as 'mi'.

Thus the total miles is 160.

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Answer:

805

Step-by-step explanation:

First we need to find half of 860

860÷2=430 because the parents are paying for tht

the other 430 he has to pay .

there is an additional charge of 75 dollars every month for 5 months .

75×5=375

now we need to add up his half 430 & the monthly fees for 5 months 375

430 +375=805

Answer:

the equations n + 7= 11

Step-by-step explanation:

if your asking for the same equation

(not totally sure)

Answer:

n=7

Step-by-step explanation:

so move 4 to the other side so subtract cuz it's a positive number so it will be

n=7 so 7+4=11