a school population of 1200 increases by 6% per year what will the population be after 4 years

Answer:

19 batches

Step-by-step explanation:

Given that:

Total number of cups of sugar = [tex]12\frac{2}{3}[/tex]

Amount of sugar used in one batch = [tex]r[/tex]

Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.

i.e.

Number of batches = [tex]12\frac{2}{3} \div r[/tex]

Also, if we put the value:

[tex]r=\frac{2}{3}[/tex]

We have to find the number of batches of cookies that can be made by Tyra.

Solution:

First of all, let us have a look at the formula to convert the mixed fraction into fractional number.

[tex]a\dfrac{b}{c} = \dfrac{a\times c + b}{c}[/tex]

Therefore,

[tex]12\dfrac{2}{3} = \dfrac{12\times 3 + 2}{3} = \dfrac{38}{3}[/tex]

Number of batches:

[tex]\dfrac{38}{3} \div \dfrac{2}{3}\\\Rightarrow \dfrac{38}{3} \times \dfrac{3}{2}\\\Rightarrow \bold{19}[/tex]

Therefore, 19 batches can be completed.

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: 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:

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

Second Box: 3/10

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:

[tex]m=\frac{13}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-7, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

we will use the equation

(y2-y1)/ (x2-x1)

lets plug in our values

(-5-8)/(-7-(-5)

-13/-2

this answer is your slope value hope this helps

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

it is 65%

Answer:

10.4 Inches

Step-by-step explanation:

26% * 40 = 10.4

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: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:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a + l), where

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S[tex]_{n}[/tex] = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = [tex]\frac{n}{2}[/tex](26 + 150)

∴ 2,816 = [tex]\frac{n}{2}[/tex](176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

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:

1. -.005

2.-1/2

3. 0

4. 2

Step-by-step explanation:

if it is negative put positive and if it is positive put negative. for 0 it will always stay the same

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:

https://brainly.com/question/187506

#SPJ2

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: Please give me brainliest?

4: B

5: B

6: H (12)

8: C (3,-6)

7: 120

Step-by-step explanation:

6.

6x-6=3x+30

3x=36

x=12

7. 7x-6=5x+30

2x=36

x=18

5 x 18 = 90 +30 = 120

Answer:

- 2.368

Step-by-step explanation:

Given that :

Mean (m) = 172. 5

Standard deviation (s) = 1.9

Score (x) = 168

The Zscore can be obtained thus :

Zscore = (x - m) / s

Zscore = (168 - 172.5) / 1.9

Zscore = - 4.5 / 1.9

Zscore = −2.368421

Zscore = - 2.368

Answer: Above answer is correct

Step-by-step explanation:

For the slope, we will use the slope formula*.

[tex]m = \frac{-1 - 5}{0 - 5} = \frac{-6}{-5}[/tex]

The y-intercept is already given. It is 1.

To create the equation of the line, we put what we got for m and b in slope-intercept form**.

[tex]y = -\frac{6}{5}x + 1[/tex]

Formulas:

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

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:

12 ( x+3)

Step-by-step explanation:

We can factor a 12 out of each term

12 *x + 12*3

12 ( x+3)

Answer:

Step-by-step explanation:

Compact cars:

24 divided by 4 = 6

6 cars for 24 people

SUV's:

24 divided by 6 = 4

4 SUV's for 24 people

Answer:

[tex]4x+6y=24[/tex]

See below for graph.

Step-by-step explanation:

A total of 24 people need to be transported.

Let x represent the number of Uber compact cars.

And let y represent the number of SUVs.

So, the number of people that can be picked up by x compact cars is 4x.

And the number of people that can be picked up by y SUVs is 6y.

And the total is 24 people. So, the two terms must total 24. So, we can write:

[tex]4x+6y=24[/tex]

We can convert this to slope-intercept form. First, we can divide everything by  2:

[tex]2x+3y=12[/tex]

Subtracting 2x from both sides yields:

[tex]3x=-2x+12[/tex]

Finally, dividing both sides by 3 yields our linear equation:

[tex]\displaystyle y=-\frac{2}{3}x+4[/tex]

Please refer to the below attachment for the graph.

*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.

**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.

Answer:

Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]

Step-by-step explanation:

We need to solve the expression:

[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}[/tex]

We know the exponent rule: [tex](a^n)^m = a^{nm}[/tex]

[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}[/tex]

Now, another exponent rule says that: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}[/tex]

We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]

=[tex]\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}[/tex]

So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]

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]

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

c is the best answer c c c c c c c c c c c c.