Of a number is added to the numerator of 3/7 and twice that number is added to the denominator of 3/7, the resulting fraction is equivalent to 10/21. Find the number

Answer:

24 packages

Step-by-step explanation:

Given

Represent Napkins with N and Cups with C

[tex]C = 8's[/tex]

[tex]N = 12's[/tex]

Required

Determine the smallest amount of N and C that will be equal

To do this, we simply calculate the LCM of N and C as follows:

List out the multiples of each..

[tex]C = 8,16,24,30....[/tex]

[tex]N = 12,24,36,48...[/tex]

The common multiple between both is 24.

Hence, 24 packages of N and C answers the question

Answer:

The two numbers are 6 and 15.

Step-by-step explanation:

[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]

x=6 and x=15

Answer:

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Step-by-step explanation:

Here, we want to compare speeds

For Jesse’s train, the speed is 150 mi/h

we got this from the fact that the equation of a straight line is represented as;

y = mx + b

where m which is the slope represents the rate of change

m here is 150

For Khalid’s;

we can get his own rate from the graph

This can be obtained using the slope

We can simply have this as ;

m = (y2-y1)/(x2-x1)

Let us have two points

(4,560) and (0,0)

Thus;

m = 560/4 = 140 mi/h

Hence;

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Answer:

64

Step-by-step explanation:

Answer:

First Box: 3/6 --- 1/2

Second Box: 3/10

Answer:

(1,5)  is your answer

Step-by-step explanation:

You would have to divide the

2 and 10 by 2 and you would get (1,5)

Hope that help!Have a GREAT day!!

And Brainiest is needed!

Answer:

D - 353.7

Step-by-step explanation:

Edge 2020

Answer:

option d

Step-by-step explanation:

edge 2023

Answer:

Step-by-step explanation:

the tip would be = 2.325 which rounds up to 2.33$ in total this would be17.83

Answer:

2B-M=R

Step-by-step explanation:

Answer:

[tex]Red = \frac{10}{37}[/tex]

Step-by-step explanation:

Given

[tex]Red:Yellow = 2 : 3[/tex]

[tex]Yellow: Blue = 5 : 4[/tex]

Required

Determine the fraction of Red

First, we need to link the given ratios.

Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios

Multiply this ratio by 5

[tex]Red:Yellow = 2 : 3[/tex]

This becomes

[tex]Red:Yellow = 10 :15[/tex]

Similarly, multiply this ratio by 3

[tex]Yellow: Blue = 5 : 4[/tex]

This becomes

[tex]Yellow:Blue =15:12[/tex]

At this point, we have:

[tex]Red:Yellow = 10 :15[/tex] and [tex]Yellow:Blue =15:12[/tex]

Combine

[tex]Red:Yellow:Blue = 10:15:12[/tex]

The fraction is then calculated as:

[tex]Red = \frac{Red}{Red +Yellow + Blue}[/tex]

This gives

[tex]Red = \frac{10}{10+15+12}[/tex]

[tex]Red = \frac{10}{37}[/tex]

Answer:

The answer is x=15/4

Step-by-step explanation:

8x - 3 = 16x - 33

8x−3−16x=16x−33−16x

−8x−3=−33

−8x−3+3=−33+3

−8x=−30

−8x/-8=−30/-8

x=15/4

The value of the x for the equation 8x-3=16x-33 is 3.75.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

8x-3=16x-33

Simplify the equation,

⇒33-3 = 16x-8x

⇒30 = 8x

⇒8x = 30

⇒x = 3.75

The value of x is 3.75.

To know more about Equation on:

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Answer:

a)  eight and seven ninths minus three and four sixths

Step-by-step explanation:

The required result is [tex]5\frac{6}{54}[/tex]

a)

[tex]8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9} -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}[/tex]

b)

[tex]6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9} -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}[/tex]

c)

[tex]4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9} +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}[/tex]

d)

[tex]3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9} +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}[/tex]

Answer: A

Step-by-step explanation: I did the assesment

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

Answer: Above answer is correct

Step-by-step explanation:

Answer:

Number of terms: n=6

Step-by-step explanation:

We are given:

a₁ = 0.75

r = 4

Sₙ = 1023.75

We need to find number of terms i.e n

The formula used will be:[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Putting values and fining n

[tex]S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096[/tex]

We know that [tex]4^6= 4096[/tex]

[tex]4^n=4^6[/tex]

Using Exponent rule: [tex]a^n=a^b => n=b[/tex]

[tex]n=6[/tex]

So, Number of terms: n=6

Answer:

3 different ways

Step-by-step explanation:

Answer:

3 different ways

Step-by-step explanation:

hope this helps

example of the diffrent way to write a ratio :

5 to 10

5 : 10

[tex]\frac{5}{10}[/tex]

Answer:

12 ( x+3)

Step-by-step explanation:

We can factor a 12 out of each term

12 *x + 12*3

12 ( x+3)

Answer:

the answer is: 9.55cm.

Answer:

10cm

Step-by-step explanation:

9.55 is the same thing , but rounded its 10

Answer:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

Step-by-step explanation:

From the information given, the cost to go to the ice skating ring is equal to the cost to rent ice skates plus the result of multiplying the cost to skate per hour for the number of hours and the equation would be:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

Answer:

The indifference point is 3 days.

Step-by-step explanation:

Company A:

Total cost= 40*x

Company B:

Total cost= 60 + 20*x

x= number of days

To calculate the indifference point, we need to equal both formulas. and isolate x:

40x = 60 + 20x

20x= 60

x= 60/20

x= 3

The indifference point is 3 days.

Prove:

Company A:

Total cost= 40*3= $120

Company B:

Total cost= 60 + 20*3= $120

Answer: maybe this will help

Step-by-step explanation:

Use the formula:

Discount = Marked Price – Selling Price

Percent Discount = Discount/Marked Price × 100%

Discount: 280 – 259 = 21

The marked price: 280

Answer:

There is no values to make the equation true. Please check the equation.

Step-by-step explanation:

Answer:

19

Step-by-step explanation

Answer:no try y=Mx+b

Step-by-step explanation:

Answer:

y = 30x is a function.

Step-by-step explanation:

Given an equation, there should be only one corresponding (cor a sponding to pronounce) y value for any y value.

Answer:

yes, phone companies, are only allowed to charge for the amount of data you use

Step-by-step explanation:

Answer:

I think it is 0.167

Answer:

.167

Step-by-step explanation:

[tex]1 \div 6 = 0.16666666 \\ repeating \: so \: you \: round \: to \: the \: thousandths \: making \: it \: .167[/tex]

Step-by-step explanation:

The given equation is :

[tex]\dfrac{14+10x}{12}=-3[/tex]

Cross multiply,

[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]

This equation will have only one solution.

We can check the solution as follows :

Put x = -5 in LHS of the the given equation.

[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]

= RHS

Hence, this is the required solution.