A 2 yard piece of ribbon costs $10.80. What is the price per inch?

Use PEMDAS:

P) Parentheses first

E) Exponents (For example, Powers and Square Roots.)

MD) Multiplication and Division

AS) Addition and Subtraction

╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾╾

20² + 6 (9 + 3) = 400 + 6 (12) = 400 + 72 = 472

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)

\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)

Answer:   7

×

10

−

2

Step-by-step explanation:

The number of different combinations that are possible for Nick, given his baseball hats are A. 4 combinations.

Nick has two options for hats, and two options for sweatshirts/sweaters. To find the number of combinations, we can multiply the number of options for each item.

There are two baseball hats and two clothes - sweatshirt and sweater.

The number of combinations is:

= 2 (hats) x 2 (sweatshirts/sweaters)

= 4 combinations

In conclusion, as regards the number of combinations that Nick can make, there are four.

Find out more on combinations at https://brainly.com/question/28065038

#SPJ1

Answer:

See step by step explanation

Step-by-step explanation:

From the problem statement, we understand that we need to investigate if 2nd graders RETAIN OR LOSE knowledge comparing information concerning two different months, therefore we are going to find out if the information gives us enough evidence of a difference in the two groups

a) The test should be a two tail-test

Sample sizes are small ( n₁ = n₂  = 9 ) which means we have to use  t-student test

b   and    c) Test Hypothesis:

For Null Hypothesis H₀,  we establish that the two means are equal, which in this case means that the two samples´ means are equal. And as Hypothesis alternative Hₐ that the H₀ is not true,  or that the samples mean are different.

Null Hypothesis     H₀             x₁  -  x₂   = 0   or    x₁  =  x₂

Alternative Hypothesis  Hₐ    x₁  -  x₂   ≠  0   or   x₁  ≠  x₂

d) Significance level α  = 0,05   then   α/2  = 0,025

then t(c)  with  α/2  =  0,025  and degree of freedom  

df =  n₁  +  n₂  - 2      df =  9 + 9 -2     df = 16

From t s-tudent table we find     t(c) =  2,12

e) Calculating:

x₁   and  σ₁

x₂  and  σ₂

σₓ  = [ ( n₁ - 1 )* σ₁² + ( n₂  - 1 )*σ₂² ]/ n₁ + n₂ - 2

Using a calculator:

x₁  =  77,11        σ₁  = 13,86

x₂  = 85,89      σ₂  = 12,74

σₓ  = [ ( 8*(13,86)² + 8*( 12,74 )² ] / 16

σₓ  =  (8* 192,1) + 8* ( 162,31) / 16

σₓ  = (1536,8 + 1298,48 ) / 16

σₓ  =  177,205

t(s) = ( x₁ - x₂ ) /√ σₓ²/ n₁  + σₓ²/ n₂

t(s) = ( 77,11 - 85,89 )/ (177,205)²/n₁ + (177,205)²/n₂

t(s) = - 8,78 / √3489,07 + 3489,07

t(s) = -8,78 / 83,54

t(s) =  - 0,11

Comparing  t(s) and  t(c)

|t(s)| < |t(c)|      

0,11 <  2,12

t(s) is in the acceptance region. We accept H₀

Answer:

x = 100

Step-by-step explanation:

1. To get rid of the denominator of 5, multiply both sides of the equation to get 5

-40 + x = 60

2. Add 40 on both sides to get the variable x by itself

x = 60 + 40

3. Solve

x = 100

Answer:

x=100

Step-by-step explanation:

-8+x/5=12

--8+x/5=12+8

x/5=20

5*20=100

x=100

The volume of the rectangular tank is:

V = l × w × h = 40 cm × 30 cm × 35 cm = 42,000 cm³

The initial volume of water in the tank is:

V1 = l × w × h1 = 40 cm × 30 cm × 15 cm = 18,000 cm³

When 4800 cm³ of water is poured into the tank, the new volume of water becomes:

V2 = V1 + 4800 cm³ = 18,000 cm³ + 4800 cm³ = 23,800 cm³

Let's assume that the new water height is h2 cm. We can use the formula for the volume of a rectangular tank to find the new height:

V = l × w × h2

h2 = V / (l × w) = (23,800 cm³) / (40 cm × 30 cm) ≈ 19.83 cm

Therefore, the new height of the water in the tank is approximately 19.83 cm.

Volume of a cylinder: pi * r^2 * h

Where:

pi = 3.14

r= radius = 8km

h= heigth = 7km

Replacing:

V = 3.14 * (8)^2 * 7 = 1,406.72 km3

an = 3 + (15 - 1) * 4 = 3 + 14 * 4

= 3 + 56

= 59

So, the 15th term in the sequence is 59.

2. To find the sum of an arithmetic series with first term a1, last term an, and number of terms n, we use the formula: Sn = n/2 * (a1 + an). Plugging in the values, we get:

Sn = 20/2 * (5 + 119)

= 20/2 * 124

= 620

So, the sum of the series is 620.

3. To find the sum of an arithmetic series with first term a1, common difference d, and number of terms n, we use the formula: Sn = n/2 * (2a1 + (n - 1)d). Plugging in the values, we get:

Sn = 15/2 * (2 * 12 + (15 - 1) * 6) = 15/2 * (24 + 84)

= 15/2 * 108

= 810

So, the sum of the series is 810.

4.To find the nth term in a geometric sequence with first term a1, common ratio r, and nth term an, we use the formula: an = a1 * r⁽ⁿ⁻¹⁾. Plugging in the values, we get:

64 = 2 * r⁽⁶⁻¹⁾

64 = 2 * r⁵

32 = r⁵

r = \(2^{(5^{(1/5)} )}\)

So, the 6th term in the sequence is 64.

5. To find the sum of a finite geometric series with first term a1, common ratio r, and number of terms n, we use the formula: Sn = a1 * (1 - rⁿ) / (1 - r). Plugging in the values, we get:

Sn = 2 * (1 - 4⁶) / (1 - 4)

= 2 * (1 - 4096) / -3

= 2 * (-4095) / -3

= 2730

So, the sum of the series is 2730.

Learn more about sequence on

https://brainly.com/question/14345261

#SPJ1

The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)

In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.

Let p be the population proportion of students who receive some financial aid.

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

i.e. n= 200

p{hat} = 118/200 = 0.59

We know that the critical value for 95% confidence interval : z = 1.96

The standard deviation would be,

σ = √[p{hat}(1 - p{hat})/N]

σ = √0.59(1 - 0.59)/200

σ = √(0.0012095)

σ = 0.0348

The 95% confidence interval for population proportion would be,

(0.59 ± (1.96 * 0.0348))

= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))

= (0.5218, 0.6582)

Therefore, the 95% confidence interval : (0.522, 0.658)

Learn more about the confidence interval here:

https://brainly.com/question/24131141

#SPJ4

Answer:

41

Step-by-step explanation:

i know skxkdkckxokdkakd

Answer:

\(1/log (xy)² +1/log(xy²) + log(xy³) =1\)

Step-by-step explanation:

This is your equation, right? Just checking

EXPLANATION

Tons of sand = 5/6

Tons of gravel = 1/6

The relationship between the tons of sand and tons of gravel is as follows:

The ratio is 5 more times tons of sand than tons of gravel.

Answer:

the function is odd

Step-by-step explanation:

functions that are symmetric with respect to the y axis are even functions

functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)

have a nice day!

Answer:

x = 15

Step-by-step explanation:

Apply the keg rule to find x. The keg rule is given as:

Hypotenuse / leg = leg / part of the hypotenuse directly under the leg

Hypotenuse = 25

Leg = x

Part of the hypotenuse directly under the leg = 25 - 16 = 9

Plug in the values

25/x = x/9

Cross multiply

x*x = 25*9

x² = 225

x = √225

x = 15

Answer:

12a+6b

Step-by-step explanation:

3a+9a+7b-b

Combine like terms

3a+9a    +7b-b

12a         +6b

Answer:

m1 is 36º and m2 is 54º

Step-by-step explanation:

So this looks like a 90º angle, just split up in two different other angles. This angle altogether is 90º.

So let's make an equation.

(x+18) + 3x = 90

Now just solve for x, you can get rid of the parenthesis.

x + 18 + 3x = 90

Combine the like terms first --

x + 3x = 4x

Now it is 18 + 4x = 90

Now to isolate 4x you have to subtract 18, so do it on both sides. 18-18=0 90-18= 72

Now the equation is 4x = 72

Now to isolate x you do opposite operation and divide 4x/4 and 72/4 = 18

So, x equals 18. Now you know what x is, you have to find out what m1 and m2 is. Replace x with 18.

m1-- 18 + 18 = 36

m2-- 3(18)= 54

So, m1 is 36º and m2 is 54º

Hope this helps!!

-Ketifa

The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

To learn more about inequality;

brainly.com/question/28823603

#SPJ1

Answer:

B. 4760 in³

Step-by-step explanation:

V= l×w×h

=34×10×14

=4760 in³

The count of numbers in the list a, a+1, a+2.... b is b - a + 1

The list of numbers is given as:

a, a+1, a+2.... b

From the above list, we can see that the numbers are consecutive numbers.

This means that, the count of numbers in the list is

Count = Highest - Least + 1

Where

Highest = b

Least = a

Substitute the known values in the above equation

Count = b - a + 1

Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1

Read more about consecutive integers at:

https://brainly.com/question/10853762

#SPJ1

Answer:

-10

Step-by-step explanation:

-7-2n=-27

add 7 to both sides

then you have -2n=-20

-2n/-2=-20/-2

n=-10

Answer:

n= -10

Step-by-step explanation:

-7 - 2n = -27

    -2n=-27+7

     -2n= -20/2

        n= - 10

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

Learn more about proportions and percentages at https://brainly.com/question/9184010

#SPJ1

The total area of the shaded region for the region x = 5y³ , x = 5y² in the interval ( 5, 1 ) is equal to ( 5 / 12 ).

From the attached graph :

The area of the shaded region :

x = 5y³ , x = 5y² for the interval ( 5, 1 ) is equal to :

= \(\int\limits^1_0 {( 5y^{2 } - 5y^{3 }}) \, dy\)

=  [ ( 5y³/3 ) - ( 5y⁴ / 4 ) ]\(| \limits^1_0\)

Substitute the lower limit and upper limit we get,

= (5 /3 )( 1 )³ - 0  - ( 5 / 4 )( 1⁴) + 0

= ( 5 / 3 ) - ( 5 / 4 )

= ( 20 - 15 ) / 12

= 5 / 12

Therefore, the total area of the shaded region in the given graph for the lower and upper limit is equal to ( 5 / 12 ) .

The given question is incomplete, I answer the question in general according to my knowledge:

Find the total area of the shaded region x = 5y³ , x = 5y² for the interval

( 5, 1 ).

Graph is attached.

learn more about area here

brainly.com/question/27683633

#SPJ4

Answer:

0.61

Step-by-step explanation:

Pr (female) =  total number of females(n')/Total number of students(n)

Where P(female) = probability of selectinga female

Pr(female) = n'/n................. Equation 1

Given: n = 44 students, n' = 15+12 = 27 females

Substitute into equation 1

Pr(female) = 27/44

Pr(female) = 0.61.

Hence the probability of selecting a female is 0.61

Answer:

V=1872

Step-by-step explanation:

Area of base

A= l×w

A= (6+6)×(6+6)

A=144

Volume

V= area of base×height

V= 144×13

V=1872

Answer:

The correct answer is 468pi cubic units

For my plato fam

Step-by-step explanation: