marsha is filing gift bags for 6 of her friends she puts equal number of pens in ewch bag she has three pens left over if she started with 27 pens how many pens did she put in each bag.
To solve this problem using arithmetic start with the total number of pens ___

Subtract the 3 pens left over to get ___

Divide the result by the number of bags 6 to get _____

Marsha put ___ pens in each gift bag

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:

A = P(1 + r/100)^n

Where:

A = Total distance run after n days

P = Initial distance (4.8 kilometers)

r = Rate of increase per day (6.9%)

n = Number of days (16)

Plugging in the given values, we can calculate the total distance:

A = 4.8(1 + 6.9/100)^16

Using a calculator or performing the calculations step by step, we get:

A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)

A ≈ 12.6144

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

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Answer:

rs. 5,000

Step-by-step explanation:

x = Marked price of the article

The formula for cost price = x - 10 %. Rebate of x

= x - (10/100)x

= 90x/ 100

Cost price = 90x/100

= 9x/10

We are told in the question that there is

18% tax (under GST) on the remaining price.

So this gives us:

18% × 9x/10

The Cost price of the Article =

= 9x/ 10 + (18% × 9x/10)

= 9x/10 + (18/100 × 9x/10)

= 9x/10 + 162x/1000

= 9x × 1000 +162x× 10/ 10000

= 9000x + 1620x/ 10000

We were told in the question that:

the article was purchased for rs 5310

= Cost price

Hence,

rs 5310 = 9000x + 1620x/ 10000

Cross Multiply

= 5310 × 10000 = 9000x + 1620x

= 53100000 = 10620x

x = 53100000/10620

x = rs 5000

Therefore, the marked price is rs 5000

Answer:

Step-by-step explanation:

3. 10x + 6 = 8x

   8x = 10x + 6

   -2x = 6

  x = -3

4. y = 8(1) - 5= 8 - 5 = 3

   y = 8(2) - 5 = 16 - 5 = 11

    y = 8(5) - 5 = 40 - 5 = 35

    y = 8(0) - 5 = 0 - 5 = -5

    y = 8(-1) - 5 = -8 - 5 = -13

\(10x + 6 = 8x\)

\(6 = 8x - 10x\)

\(6 = - 2x\)

\(6 \div - 2 = x\)

\( - 3 = x\)

\(y = 8x - 5\)

When \( x = 1, y = \bold{ 3} \)

\(y = (8 \times 1)- 5\)

\(y = 8 - 5\)

\(y = 3\)

When \( x = 2, y = \bold{ 11} \)

\(y = (8 \times 2)- 5\)

\(y = 16 - 5\)

\(y = 11\)

When \( x = 5, y = \bold{35} \)

\(y = (8 \times 5)- 5\)

\(y = 40 - 5\)

\(y = 35\)

When \( x = 0, y = \bold{-5} \)

\(y = (8 \times 0)- 5\)

\(y = 0 - 5\)

\(y = - 5\)

When \( x = -1, y = \bold{-13} \)

\(y = (8 \times - 1)- 5\)

\(y = - 8 - 5\)

\(y = - 13\)

Answer: 8

Step-by-step explanation:

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

$17.50

Step-by-step explanation:

first you multiply the price of the books by three to get the total price of 22.50.  since she already has 5.00 you can subtract that from the total to get 17.50.  17.50 is the amount she needs to make the purchase.

Hope this helps.

Answer:

The answer to your problem is 53 in ^2

Hope it helps

Answer:

D this is a quadratic equation and if we draw it's graph it will represent a parabola. this means that the equation is a function. It also represents a relation ,if the gradient is negative it will face downwards and if it's positive it will face upwards.

Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by:

\(\mu = 72, \sigma = 10\)

The proportion of students with scores between 72 and 82 is the p-value of Z when X = 82 subtracted by the p-value of Z when X = 72.

X = 82:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{82 - 72}{10}\)

Z = 1

Z = 1 has a p-value of 0.84.

X = 72:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{72 - 72}{10}\)

Z = 0

Z = 0 has a p-value of 0.5.

0.84 - 0.5 = 0.34.

Out of 200 students, the number is given by:

0.34 x 200 = 68 students with scores between 72 and 82.

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a) Lower-bound confidence interval is [0.260, 1]. b) 98% confident that the proportion of cars is greater than or equal to 0.260. c) p is larger than 0.25.

To obtain a lower-bound confidence interval for the proportion (p) of cars registered in a certain state whose emission levels exceed the state standards, we can use the Wilson score interval method. This method provides a conservative lower-bound estimate for the proportion.

Given:

Sample size (n) = 92

Number of cars with emission levels exceeding standards (x) = 30

A) Lower-bound confidence interval for p at 98% confidence level:

To calculate the lower-bound confidence interval, we can use the formula:

p - z√((p(1 - p)) / n + (\(z^{2}\) / (4n))) ≤ p

Where:

p is the sample proportion (x / n)

z is the z-score corresponding to the desired confidence level

The z-score for a 98% confidence level is approximately 2.326. Substituting the given values into the formula:

p - 2.326 * √((p1 - p)) / n + (\(2.326^{2}\) / (4n))) ≤ p

p = 30 / 92 ≈ 0.326

Lower-bound confidence interval:

0.326 - 2.326 * √((0.326 * (1 - 0.326)) / 92 + (\(2.326^{2}\)  / (4 * 92))) ≤ p

Calculating this expression, we find the lower-bound confidence interval for p at a 98% confidence level:

0.326 - 2.326 * √(0.003562 / 92 + 0.03042 / 368) ≤ p

0.260 ≤ p

The lower-bound confidence interval is [0.260, 1].

B) Interpretation of the interval:

The lower-bound confidence interval [0.260, 1] means that we are 98% confident that the proportion of cars in the state with emission levels exceeding the state standards is greater than or equal to 0.260. It is a conservative estimate because we take the lower bound of the interval.

C) Conclusion about p > 0.25:

Based on the interpretation of the interval, we can reasonably conclude that p is larger than 0.25. The lower bound of the confidence interval is 0.260, which is greater than 0.25. Therefore, we have evidence to suggest that the proportion of cars with emission levels exceeding the state standards is likely to be larger than 0.25.

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Answer:

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

x = 20 i.e. Alexis

And, Jelani be 40

Step-by-step explanation:

Given that

Jelani has twice as much as Alexis

And, both can added $20

Jelani will have 1.5 times as much on his pass on Alexis

We need to write an equation also the amount does Jelani and Alexis have

So,

Let us assume the alexis be x

And, Jelani be 2x

Now

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

1.5x + 30 = 2x + 20

-0.5x = -10

x = 20 i.e. Alexis

And, Jelani be 40

Answer:

u = 24, v = 92, and w = 184

Step-by-step explanation:

According to circle theorem, we have;

∠ACD = ∠ABD = 88° by angle inscribed in a circle and also subtending the same chord

∠DOA = 2 × ∠ABD by angle subtended at the center = 2 × Angle subtended at the circumference

∴ ∠DOA = 2 × ∠ABD = 2 × 88° = 176°

w° + ∠DOA = 360  by the sum of angles at a point

∴ w° = 360° - ∠DOA = 360° - 176° = 184°

w° = 184°

w° = 2 × v° by angle subtended at the center = 2 × Angle subtended at the circumference

∴ v° = w°/2 = 184°/2 = 92°

v° = 92°

In triangle ΔCDY and ΔABY, we have;

∠ABD = ∠ABY by reflexive property

∠ACD = ∠ACY by reflexive property

∠ACD = ∠ABD = 88°

∴ ∠ABY = 88°

∠CYD = ∠AYB  by vertically opposite angles are equal

∴ ∠CYD = 68° = ∠AYB

u° + ∠ABY + ∠AYB = 180° by angle sum property

∴ u° = 180° - (∠ABY + ∠AYB)

u° = 180° - (88° + 68°) = 24°

u° = 24°.

Answer:

Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.

Step-by-step explanation:

Given, the volume of the box, V = 180 feet cube

Let the height of the box, h = x feet

Therefore, length is, l = ( 9+x ) feet

And width is, b = ( x-4) feet

so volume of the box is

V = l x b x h

\($ 180= (x+9) \times (x-4) \times (x)$\)

\($ x^3 +5x^2-36x -180 =0$\)

Factorizing we get

(x+5)(x-6)(x+6)=0

Therefore,

x = -5, -6, 6

Now since the height of the box cannot be negative, so taking the positive value of x, we get

Height of the box, h = x = 6 feet

Length , l = ( 9+x ) = 9+6 = 15 feet

Width , b = ( x-4) = 6-4 = 2 feet

Answer:

The answer is $12.78

Step-by-step explanation:

Answer:

So if you want to find 6% sales tax for an item costing $12, simply move the decimal point to the left two places and multiply. You will write 6% as . o6. Now multiply that by 12 to find the sales tax.

Step-by-step explanation:

Calculating Total Cost. Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.

Calculating sales tax on a product or service is straightforward: Simply multiply the cost of the product or service by the tax rate. For example, if you operate your business in a state with a 6% sales tax and you sell chairs for $100 each, you would multiply $100 by 6%, which equals $6, the total amount of sales tax.

Zelma is 28 years old and her son is 10 years old. We brought this conclusion with the help of algebra.

Let x = son's age now

Then, x+18 = Zelma's age now

x-1 = son's age one year ago

x+17 = Zelma's age one year ago

x+17 = 3(x-1)

x+17 = 3x-3

   2x = 20

     x = 10

Algebra is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables as if they were numbers and is therefore essential in all applications of mathematics.

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Answer:

c-12>-16

+12

C > - 4

So, c is greater than - 4.

Draw a number line. (Pick starting point of your choice. I. E. - 6 to 4)

Draw a circle at - 4.

Draw a horizontal line from the circle at - 4 to 2, for example.

Draw an arrow head on the line.

(BTW the arrow head & horizontal line can exceed 2 if you want it to; as long as your showing clearly C can be any number greater than - 4, with arrow pointing to the right as shown below)

o--------------------->

o---------------------> -4 - 3 - 2 - 1 0 1 2

Hope this helps!

Answer:

45 miles

Step-by-step explanation:

first divide miles/minutes: 15 / 20 = 0.75

then multiply: 0.75 x 60 = 45

Answer:62.84Step-by-step explanation:pie=3.142c=pie * diameterr=10cmd=2rd=2(10)=20cmc=3.142 * 20c=62.84

Step-by-step explanation:

Answer: abrimos

Step-by-step explanation: That's what it is on my quiz.

In the sentence "Nosotros _____ la ventana", the correct verb form is "abrimos". The best answer is option D.

The verb "abrir" is a Spanish verb that means "to open", and the first person plural form of this verb is "abrimos". So the sentence "Nosotros abrimos la ventana" translates to "We open the window".

The other verb forms in the options ("compartimos", "abro", and "escribimos") do not fit the context of opening the window. "Compartimos" means "we share", "abro" means "I open" (first person singular), and "escribimos" means "we write". So these forms are not the correct form to complete the sentence.

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Answer:

The right solution is:

(1) 138

(2) 22

Step-by-step explanation:

The given values are:

t = 6

c = 3

b = 5

(1)

The given expression is:

=  \(120+3t\)

On putting the value of "t", we get

=  \(120+3(6)\)

=  \(120+18\)

=  \(138\)

(2)

The given expression is:

=  \(4c+2b\)

On putting the values, we get

=  \(4(3)+2(5)\)

=  \(12+10\)

=  \(22\)

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Always. The answer is always

Referring to attached figure :

given values : -

construction : -

I actually draw a perpendicular on chord from the centre, and we know that the perpendicular from centre on it bisects the given chord, therefore measure of

now, let's apply Pythagoras theorem for triangle OCB,

we get :

And here OC is the distance of chord from its center, therefore required answer is \( 2\sqrt{5} \)

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{ \: \: \: TeeNForeveR \: \: \: }}\)

Answer:

205

Step-by-step explanation:

30×7-10+5 = 210-10+5

= 200+5

= 205

Answer:

Use the PEMDAS method. it helps alot

Answer:

its D

Step-by-step explanation:

Edge 2021

The  component form and direction of the vector shown is  (-7, 3) and 23 degrees respectively

Coordinates are expressed in the form (x, y). Given the point in the coordinate form expressed as:

u (4, 1) and terminal point (-3, 4)

Determine the component form of the vectors

(x, y) = [(-3-4), (4-1)]
(x, y) = (-7, 3)

Determine the direction of the vector:

theta = arctan(-3/7)
theta = arctan(-0.4288)

theta = 23 degrees

Hence the  component form and direction of the vector shown is  (-7, 3) and 23 degrees respectively

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Answer:

7)  x=u/10

8) a = - u/12

9) a = U/3 - 2/3

10) z = 0

11) a= n- p + m

12) x = gc/ y

13) a= w/k + v/k

14)x= pn/ m

Step-by-step explanation:

there... hope this helps!! also can i get brainliest? plz and thank you!!

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer: 28 y

Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y

Answer:

1.2208898

Step-by-step explanation:

Answer:

Your answer is Number 1

Step-by-step explanation:

1.2208898x10 squared 7

Answer:

9x3.14=28.26

Step-by-step explanation:

1 3

3.14

x  9

28.26

multiply 4x9 Cary the 3 put the 3 above the 1 then multiply 1x9 the add the three then carry the 1 put it above the 3 the multiply 3x9 the you add you final total and bring the decimal doe to we’re it becomes 28.26