The length of a rectangle is 15 cm. What width will make the area at least 315 cm^2

By solving the given equation  20 + 0.44x = 19 + 1.69x we get x=0.8.

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. For instance, an equation in French is described as having one or more variables, whereas in English, an equation is any properly written formula that consists of two expressions linked by the equals sign.

Determine which values of the variables result in the equality to be true in order to solve an equation with variables. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns, together with the variables for which the equation must be solved.

Given,

20 + 0.44x = 19 + 1.69x

20-19=1.69x-0.44x

1=1.25x

x=0.8

Therefore, by solving the given equation  20 + 0.44x = 19 + 1.69x we get x=0.8.

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Therefore the solution to this question of proportion,  78% of what number is 42 is 53.84.

In general, the word "proportion" is used to describe a part, share, or amount that is compared to an entire. Two ratios are in proportion, according to the definition of proportion, when they are equal. Two ratios or fractions being equal is expressed by an equation or a statement.

Here,

If 78% of x (any number) equals 42, then we need to set this up as an equation in order to figure it out.

1) Writing down 78% as a fraction. Taking into account that we refer to a product when we say 78% of some amount (x).

78%=78/100 \s=>78x/100=42

2) Afterward, we can continue: 

100*78x/100=42*100

78x=4200

x=4200/78

x=53.84

Therefore the solution of 78% of what number is 42 is 53.84.

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The solution is the two percent changes are not the same, and the second percent change is greater

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage

Given data ,

Let the initial value of the pens = $ 4.09

Let the final value of the pens = $ 3.59

So , the percentage change is calculated by

Percentage decrease = ( ( final value - initial value ) / initial value ) x 100

Substituting the values in the equation , we get

Percentage decrease = ( ( 3.59 - 4.09 ) / 4.09 ) x 100

Percentage decrease = ( -0.5 / 4.09 ) x 100

Percentage decrease = -0.122249 %

Therefore , the approximate percentage decrease = -0.1 %

Now ,

The value of the pens is increased to = $ 4.09

So , the percentage change is calculated by

Percentage increase = ( ( final value - initial value ) / initial value ) x 100

Substituting the values in the equation , we get

Percentage increase = ( ( 4.09 - 3.59 ) / 3.59 ) x 100

Percentage increase = ( 0.5 / 3.59 ) x 100

Percentage increase = 0.13927 %

Therefore , the approximate percentage increase = 0.1 %

Hence , the two percent changes are not the same, and the second percent change is greater

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lower control threshold for the data is LCL = -0.007

The lower control limit on a control chart is the value below which any particular data point would be deemed to be out of statistical control owing to specific cause variation. It is represented by a line below the centerline.

The lower control limit formula: LCL = Pbar - [tex]3 \sqrt{p bar (1- p bar)/n}[/tex]

To date,

Size of sample = n

Sample size is 12 samples.

Televisions with defects = X

We have a sample defect = p

p chart week with n = 200

x = 4, 7, 5, 6, 8, 3, 12, 4, 4, 5, 6, 2.

P = x/n

p = 4/200 = 0.02

p = 7/200 = 0.035

p = 5/200 = 0.025

p = 6/200 = 0.03

p = 8/200 = 0.04

p = 3/200 = 0.015

p = 12/200 = 0.06

p = 4/200 = 0.02

p = 4/200 = 0.02

p = 5/200 = 0.025

p = 6/200 = 0.03

p = 2/200 = 0.01

total will be 0.33

p bar = 0.33/12

p bar = 0.0275

The lower control limit formula: LCL = Pbar - [tex]3 \sqrt{p bar (1- p bar)/n}[/tex]

LCL =  0.0275 - 3[tex]\sqrt{ 0.0275 (1- 0.0275/200}[/tex]

LCL = -0.007

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Answer:1/2

Step-by-step explanation:

3/4+(-1/2)-(-1/4)

3/4-1/2+1/4

1-1/2=1/2

The time taken by the horizon to develop is calculated with the half-life which is 675 years.

Organic matter particles have more negatively charged particles, which hold on the positively charged particles.

The organic matter in the soil affects the water holding capacity of the soil. Thus is if there are more organic matter, this means that the organic matter is more. Thus the farmer has to add more organic matter.

In order to reduce the the acidity, the farmers add Calcium oxide, Calsium hydroxide and so on.

The horizon s formed after years of sediment formation. Thus the process can take years.

This is the half-life of the soil and with the formula of half-life we get 225 * 3 = 675 years.

Therefore, the time taken by the horizon to develop is 675 years.

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Finding line J's slope is the first step.The simplest approach to achieve this is to change the equation's format to y=mx+b, where m represents the slope.

9x-y=10

Take 9x off of both sides.

9x-y-9x=10-9x

Simpllify -y=-9x+10

Divide both sides by (-9x+10)-1, or -1 -y/-1.

Simplify y=9x-10

m=-1/9.

The notation (x1,y1) y-y1=m(x-x1) y-1=-1/9(x- -8) which reduces to y-1=-1/9(x+8)

y-1=-1/9x-8/9

then multiply both sides by 1.

y-1+1=-1/9x-8/9+9/9

(Using 9/9 as 1 makes it easier to use the common denominator to simplify the fractions.)

As the penultimate step, simplify.

y-1/9x+1/9

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Answer:

y= -5x-8

Step-by-step explanation:

Slope-intercept form equation: y=mx+b

b is where the line meets the y line. So it meets it at the number "-8". Then with the mx in the equation, you find that by doing rise over run. I got 5/-1, which goes to just plain old -5.

I hope this helps!!!

Answer:

x=2 y=1

Step-by-step explanation:

Answer:

y=2x-3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

→ Complete the square

( x - 2)² - 4 + ( y - 1 )² - 1 = 16

→ Simplify

( x - 2 )² + ( y - 1 )² = 21

→ Find centre

( 2 , 1 )

The population standard deviation sd would be 0.543 .

Given :

a survey is carried out at uiuc to estimate the proportion of students who like to wear costumes on halloween. 1000 students participated in the survey. if you were to create a confidence interval with 98% confidence and a 4% margin of error .

we know that

margin of error = z * s / [tex]\sqrt{n}[/tex]

Z score at 98% = 2.326

0.04 = 2.326 * s / [tex]\sqrt{1000}[/tex]

0.04 * [tex]\sqrt{1000}[/tex] = 2.326 * s

1.264 = 2.326 * s

s = 1.264 / 2.326

s = 0.543

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How many packages of cookies will be made?

15

Step-by-step explanation:

Sheila made 51 cookies… Sister make 27 cookies ( add them )

78…..

Brother ate 3 cookies..

78 - 3 =

75..

75/5 =

15

The rental cost for each movie is  $3.75

The rental cost for each video game is  $5.75

The problem is a simultaneous equation of two unknowns with two equations.

The equations are formed as follows

let the cost of renting movies be m and let the cost of video game rental be v

One month Ivan rented 9 movies and 7 video game $74

9m + 7v = $74

3 movies and 5 video games for a total of $40

3m + 5v = $40

The simultaneous equation

9m + 7v = $74

3m + 5v = $40

solving the equation gives

m = $3.75

v = $5.75

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Answer:

ANS:- Y =4

Step-by-step explanation:

x =20 half x =10

y = 8 half y = 4

Answer: 9x = 288, 32 hours

Step-by-step explanation:

x can be the variable and it represents the hours he worked. 9 is the amount made each hour, so it is multiplied by x. 288 is the total made, so 9x=288.

9x = 288 Divide by 9 on both sides to isolate x
x = 32 hours. Kevin worked 32 hours this week

Answer:32

Step-by-step explanation: 32x9=288

An experiment can be assumed to have internal validity if random assignment and experimental control is employed. So the option c is correct.

The degree to which a study reliably establishes a cause-and-effect link is a sign of its internal validity. The procedures used in the study and the level of care done have a significant impact on this type of validity.

Internal validity is essential because, if proven, it enables alternate explanations for a discovery to be disregarded.

An experiment can be assumed to have internal validity if  random assignment and experimental control is employed. So the option c is correct.

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The right question is:

An experiment can be assumed to have internal validity if:

A. the dependent variable is valid.

B. there is a strong manipulation of the independent variable.

C. random assignment and experimental control is employed.

D. confounding variables are present.

Answer:

3/48

Step-by-step explanation:

The component form of two vectors 2u - v is (10, 0), no magnitude in the second direction.

A vector is a quantity that has both magnitude and direction.

Given are two vectors u = (4, - 1) and v = (-2, - 2).

∴ The value of 2u - v in component form is 2(4, - 1) - (-2, - 2).

2u - v = (8, - 2) - (-2, - 2).

2u - v = (8+2, - 2+2).

2u - v = 10

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The perimeter of the rectangle is 44cm

Given:

Area: [tex]Area = 105cm^{2}[/tex]

width: [tex]w= 7 cm[/tex]

To find the perimeter first we need to find the length of the rectangle.

We find it with the formula for the area of a rectangle:

[tex]Area = width*length[/tex]

so clearing for length:

[tex]length = \frac{area}{width}[/tex]

substituting known values:

[tex]length = \frac{105}{7} \\length = 15 cm[/tex]

And now we can calculate the perimeter:

[tex]perimeter = 2(width + length)\\\\perimeter = 2(7cm + 15cm)\\\\perimeter = 44cm[/tex]

Hence , the perimeter of the rectangle is 44cm

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The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution thus option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In other words, the equation must be constrained with some constraints.

As per the given equations,

y = (-1/3)x + 7 and y = -2x³ + 5x² + x - 2

The graph of both equations has been plotted below,

The number of points where both curves cut each other = 1

Thus, the number of solutions = 1

Hence "The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution".

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Answer:

1 solution

Step-by-step explanation:

Plato/Edmentum

The value for n is n = the quantity 7 times c minus 25 all over negative p.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

−np − 3 = 7(c − 4)

Now, solving for n

-np - 3 = 7c - 28

-np = 7c - 28 + 3

-np = 7c -25

-n = 1/p( 7c- 25)

n= 1/ (-p) (7c- 25)

So, the value for n is n = the quantity 7 times c minus 25 all over negative p.

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If the mass of dog is 45.5 lb then the mass in kilogram is  20.475 Kg .

In the question ,

it is given that ,

the mass of the dog is = 45.5 lb ,

we have to convert the given mass of dog into Kilogram .

For that we will need the conversion rate ,

the conversion rate to convert mass from lb to Kilogram is given as , 1 lb is = 0.45 kg ,

So , 45.5 lb in Kilogram will be equal to  = 45.5 × 0.45 ,

After multiplication ,

we get ,

mass = 20.475 Kg .

Therefore , the mass in Kilogram is 20.475 Kg .

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Answer:

3

Step-by-step explanation:

h(2) we find by looking at what y equals when x is 2

when x is 2 y or h(2) is about 3

hopes this helps please mark brainliest

Answer:

9 workers

Step-by-step explanation:

15 workers = 48 hrs build

x workers = 30 hrs build

cross multiply

15 × 30 = x × 48

450 = 48x

x =

[tex] \frac{450}{48} [/tex]

x = 9.37

so it will take approximately 9 workers to build a wall for 30hrs

i hope this helped

Answer:

4 hours

Step-by-step :

If Sunny runs twice as fast as Moonbeam

Given the assumed data:

Sunny's speed = 12m/h

Moonbeam's speed= 6m/h

Therefore, if they run for 2 hours, Sunny would have covered 12 * 2 = 24 miles

While Moonbeam would have covered 6 *2 = 12 miles in the same 2 hours.

This given illustration shows that given that all parameters are equal, except the x2 speed of Sunny to that of Moonbeam, he would always be 2x faster than Moonbeam.

If they run for 4 hours, Sunny would have covered 12 * 4 = 48 miles

While Moonbeam would have covered 6 *4 = 24 miles in the same 4 hours.

The equation of the first graph is

y > 2x - 4

The equation of the first graph is

y ≥ -x + 4

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculating using the points on the graph (0, -4) and  (2, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-4 - 0) / (0 - 2)

m = (-4) / (-2)

m = 2

c = y intercept, from the graph

c = -4

The equation of the line is y = 2x - 4

shading above the line is greater than and dotted lines means it does not have equal to

hence y > 2x - 4

for the second graph

the slope, m calculating using the points on the graph (0, 4) and  (4, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (4 - 0) / (0 - 4)

m = (4) / (-4)

m = -1

c = y intercept, from the graph

c = 4

The equation of the line is y = -x + 4

shading above the line is greater than and solid lines means there is equal to in the inequality

hence y ≥ -x + 4

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Answer:12.9

Step-by-step explanation: