Three friends went shopping. Danetta spent $25 more than Elaine spent, but Jan spent $35 less than Danetta spent. If they spent $165 in all, how much did each of the friends spend?​

15=2

7+7=14+1=15=2

sooooooooo just going to keep righting

The ratio of student to teacher is 1:7

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given: There are 15 students in a preschool class and for every 7 students there is 1 teacher. Clearly the ratio is 1:7

Hence, The ratio of student to teacher is 1:7

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The solution of expression is,

⇒ - 2xy + 5y - 9x

We have to given that,

An expression to solve,

⇒ 4xy - 6xy + 5y - 9x

Now, We can simplify the expression by combining like terms as,

⇒ 4xy - 6xy + 5y - 9x

⇒ - 2xy + 5y - 9x

Therefore, The solution of expression is,

⇒ - 2xy + 5y - 9x

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Complete Question

Compute the critical value  [tex]Z_{\frac{\alpha }{2} }[/tex]   that corresponds to a  96​%  level of confidence.

Answer:

The value is  [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

Step-by-step explanation:

From the question we are told that

    The confidence level [tex]C = 96\%[/tex]

Generally the level of significance is mathematically represented as

      [tex]\alpha = (100 -96)\%[/tex]

      [tex]\alpha = 0.04[/tex]

Now from the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is

    [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

Answer:

11^3/5

Step-by-step explanation:

Fractional exponents work like so:

[tex]x^{\frac{a}{b}} = \sqrt[b]{x^a}[/tex]

Essentially, the numerator (a) of the fraction is the power and the denominator  (b) of the fraction is the root.

[tex]x^\frac{power}{root}[/tex]

We are given:

[tex]\sqrt[5]{11^3}[/tex]

The power is 3 and the root is 5. Let's substitute the values in.

[tex]x^\frac{power}{root}[/tex]

[tex]power=3\\root=5[/tex]

[tex]x^\frac{3}{5}[/tex]

x is the base. In this case, the base is 11.

[tex]11^\frac{3}{5}[/tex]

Therefore, 11^3/5 is the correct answer.

Answer: The book is right, it would break down to 3x = 3.

3x - 2 = 1 so add the 2 to the other side.

3x = 3 and then you can divide both sides by 3 to get x = 1.

Sorry if I misread what you were asking

Answer: The answer should be 3x = 3.

Step-by-step explanation:

Here's why:

3x -2 = 1

First one must isolate the 3x in order to solve the problem. So, then one must add 2 to both sides, since the 2 is negative. (So if it is a -2, add it to the other side because remember, you are doing it on both sides and you have to get it to the other side).

So doing that, you get:

3x = +2 +1

3x = 3

If you want to simplify further:

3x = 3

x = 1

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Create 2 equations with the repeating number after the decimal point, then subtract the equations to eliminate the repeating number.

let x = 0.4444.... → (1) ← multiply both sides by 10

10x = 4.4444.... → (2)

Subtract (1) from (2) eliminating the repeater

9x = 4 ( divide both sides by 9 )

x = [tex]\frac{4}{9}[/tex]

Thus 0.444444... = [tex]\frac{4}{9}[/tex]

To know which power of 10 to multiply by

The power of 10 is the value to ensure the repeating 4 is after the decimal point.

Here it was [tex]10^{1}[/tex] as we required 0.4444.. → 4.444...

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

-------------------

(x1+x2)/2=-3

(y1+y2)/2=-1

---------------------

x1-8=-6

x1=2

----------

y1+6=-2

y1=-8

(2, -8)

Answer:

17.67

Step-by-step explanation:

You find the unit rate. So, 15,900 divided by 900 gives you 17.666666 (repeating). Then round to the nearest cent to get 17.67

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:

none of the above

Step-by-step explanation:

the equation is supposed to be 3=2.91, 2=x, I hope you get it.

Answer:

1. $6.00 to 95 cents  = 6.32

2. 3 hours to 35 minutes  = 5.14

3. 42 inches to 2 feet = 1.75

Step-by-step explanation:

Given

$6.00 to 95 cents

3 hours to 35 minutes

42 inches to 2 feet

Required

Express in 2 decimal places

1. $6.00 to 95 cents

Express as ratio

[tex]\$6.00 : 95\ cents[/tex]

Convert dollars to cents

[tex]6.00 * 100\ cents: 95\ cents[/tex]

[tex]600\ cents: 95\ cents[/tex]

Convert ratio to division

[tex]\frac{600\ cents}{95\ cents}[/tex]

[tex]6.31578947368[/tex]

Approximate

[tex]6.32[/tex]

2. 3 hours to 35 minutes

Express as ratio

[tex]3\ hours : 35\ minutes[/tex]

Convert hours to minutes

[tex]3 * 60\ minutes: 35\ minutes[/tex]

[tex]180\ minutes: 35\ minutes[/tex]

Convert ratio to division

[tex]\frac{180\ minutes}{35\ minutes}[/tex]

[tex]5.14285714286[/tex]

Approximate

[tex]5.14[/tex]

3. 42 inches to 2 feet

Express as ratio

[tex]42\ inches: 2\ feet[/tex]

Convert feet to inches

[tex]42\ inches:2 * 12\ inches[/tex]

[tex]42\ inches : 24\ inches[/tex]

Convert ratio to division

[tex]\frac{42\ inches}{24\ inches}[/tex]

[tex]1.75[/tex]

Answer:

I think they are

|9|

|-9|

Answer:

The answer is "0.9461"

Step-by-step explanation:

Given:

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex]

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]\sum^2_{n=0}\frac{(-1)^n x^{2n+1} (-1)^n (x-1)^n}{(2n + 1)!}[/tex]

[tex]\therefore[/tex]

[tex]\to \sin x = \sum^{\infty}_{n=0} (-1)^n\frac{x^{(2n+1)}}{(2n + 1)!}[/tex]

[tex]\because \\\\ \to \frac{\sin x}{x} =\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n+1-1}}{(2n+1)!}\\[/tex]

           [tex]=\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n}}{(2n+1)!}[/tex]

The value is in between 0 and 1 then:

 [tex]\to \int^1_0 \frac{sin(x)}{x} = =\sum^{2}_{n=0} \frac{(-1)^n}{ (2n+1) (2n+1)!}[/tex]

The above-given series is an alternative series, and it will give an error, when the nth term is bounded by its absolute value, that can be described as follows:

[tex]\to \frac{1}{(2n+3) (2n+3)!}< 0.0001\\\\\to (2n+3) (2n+3)!> 0.0001\\\\\to n\geq 2 \\[/tex]

So,

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]1 - \frac{1}{3 \cdot 3!}+\frac{1}{5 \cdot 5!}\\\\[/tex]

                  [tex]\approx 1 - \frac{1}{3 \cdot 6}+\frac{1}{5 \cdot 120}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx \frac{18-1}{18}+\frac{1}{600}\\\\\approx \frac{17}{18}+\frac{1}{600}\\\\\approx \frac{1700+3}{1800}\\\\ \approx \frac{1703}{1800}\\\\\approx 0.9461[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then the approximation summation is equal to 0.9461.

The finite series can be used as a polynomial with an infinite number of the term.

[tex]\int_{0}^{1} \dfrac{\sin x}{x} dx = \sum_{n=0}^{2} \dfrac{(-1)^{n}x^{2n+1}(-1)^{n}x^{n}}{(2n+1)!}[/tex]

Then we have

[tex]\Rightarrow \sin x = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1}}{(2n+1)!} \\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1-1}}{(2n+1)!}\\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n}}{(2n+1)!}[/tex]

Then the value is between 0 and 1, will be

[tex]\Rightarrow \int_0^1 \dfrac{\sin x}{x} = \sum_{n=0}^{2} \dfrac{(-1)^{n} }{(2n+1)(2n+1)!}[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then which can be described as

[tex]\Rightarrow \dfrac{1}{(2n+3)(2n+3)!} < 0.0001\\\\\\\Rightarrow (2n+3)(2n+3)! = > 0.0001\\\\\\\Rightarrow n > 2[/tex]

So,

[tex]\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 3!} + \dfrac{1}{5\times 5!}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 6} + \dfrac{1}{5\times 120}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{18} + \dfrac{1}{600}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 0.9461[/tex]

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Answer:

A. (14 – 7)n – 55

Step-by-step explanation:

it cost $14 to make so $14 - $7 to make then you have to advertise it AFTER and it takes more money to advertise so, -55 so the answer would be:

(14 – 7)n – 55

Answer:

Option A:

Number of seats

Step-by-step explanation:

A discrete quantitative variable is a variable that can be enumerated. This means that they are in units in which numbers can be assigned to and can be counted.

The number of seats present in the car can be counted. This feature can also be evaluated based on its numeral value, rather than its quality. In a simple form, the buyers feel that the more the number of seats present in the car, the more people it can carry. Hence, the family would love to buy a car with a good number of seats in it.

The other features in the options are rather continuous, qualitative, or boolean. Some of them are continuous because they cannot be counted e.g fuel efficiency. The others such as the presence of a sunroof can be seen as a boolean variable. (it can either be true or false)

Type of the transmission is a qualitative variable

Answer: fuel efficiency

Step-by-step explanation:

took the exam review on edg

Answer:

Step-by-step explanation:

The probability that the test result  is a false positive

total number of cases studied  (n) = 38 + 12 + 19 + 29 = 98

number of false positive cases ( x ) = 1

probability of false positive result = x / n = 1/98 = 0.010

The non-drug user will suffer from the result since it is positive

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

Answer:

-9n

Step-by-step explanation:

3n(5 + 3n - 8 - 3n)

First we combine the like terms inside the parenthesis:

3n(-3)

Because 5 -8 = -3 and 3n - 3n = 0

Now we multiply:

-9n

because 3n × -3 = - 9n

So the answer is -9n

Answer:

Yeah I've thought of it and have an example with the year 2000 as the birth year

So 2000 In binary= 11111010000

Step-by-step explanation:

Binary numbers consist of only 0 and 1

So to convert a number to binary we divide by 2

Let's assume a birth year of 2000

Now let's convert it to binary

2000/2= 1000 R 0

1000/2= 500 R 0

500/2= 250. R 0

250/2= 125. R 0

125/2 = 62. R 1

62/2= 31. R 0

31/2= 15. R 1

15/2 = 7. R. 1

7/2= 3. R 1

3/2 = 1. R 1

1/2 = 0. R 1

Where R signifies the remainder

So we'd pick the remainder from the bottom and that becomes our binary number

So 2000 In binary= 11111010000

Answer:21

Step-by-step explanation:

Answer:

B; $3.30

Step-by-step explanation:

Since $43.75 is the cost of 12 gallon tanks, you want to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks. This gets us to $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so you would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that You can fill a ​12 gallon tank of gas for ​$43.75 or buy gas for ​$3.30​/gallon.

Since $43.75 is the cost of 12 gallon tanks, we need to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks.

$3.30 x 12 = 39.60

Thus, $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so we would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

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Answer:

180+27x=p

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

BC= 5 ~ EC=25

And we can see that BC times 5 equals the EC value. This means that BA times 5 will equal ED.

So we can set 5 * (BC) = (ED)

5x=18-x

Then solve for x:

6x=18

x=3

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

So we are given that ΔABC and ΔDEC are similar.

In other words, AB and DE are similar. And CA and CD are also similar.

When the sides are similar, it means that their proportions are equal to the each other. Therefore:

[tex]\frac{AB}{DE}=\frac{CA}{CD}[/tex]

Substitute 30 for AB, 18 for DE, 2x-1 for CA and x+1 for CD. So:

[tex]\frac{30}{18}=\frac{2x-1}{x+1}[/tex]

Reduce the left by dividing both layers by 6. Thus:

[tex]\frac{5}{3}=\frac{2x-1}{x+1}[/tex]

Cross multiply:

[tex]3(2x-1)=5(x+1)[/tex]

Distribute:

[tex]6x-3=5x+5[/tex]

Add 3 to both sides:

[tex]6x=5x+8[/tex]

Subtract 5x from both sides:

[tex]x=8[/tex]

So, the value of x is 8.

And we're done :)