A pair of $72 sneakers is marked with a sign $20 OFF or 20% OFF: The $20 of final price is​

Answer:

0.35m + 25 = 42.50

Step-by-step explanation:

If you were to rent a truck for one day you will first have to pay a $25 fee for one day. This is represented by + 25 in the equation above.

Then for every mile you go you must pay $0.35, represented as 0.35m.

As an example to make it easier if you had to pay 1 dollar per mile and you went 10 miles it would cost $10. This can be proved by 1m (m being the variable for number of miles) Plug in 10 for m and you can asee 1(10)=10, because obviously 1 times 10 is 10.

Same premise with $0.35

Then both of those fees added up are equal to a total of $42.50.

To prove it can find the exact number of miles that need to be driven to cost a total of $42.50 just follow steps bellow.

1. 0.35m + 25 - 25 = 42.50 - 25

Subtracting the inital fee since it is part of the total, and if you add/subtract/multiply/divide on one side you must do to the other.

2. 0.35m/0.35 = 17.50/0.35

You divide because m is being multiplied with 0.35 and to undo the multiplication you divide. Doing the same to both sides.

3. m = 50

Plug in 50 to "m" in the equation above and if both sides are equal the answer is valid.

Answer:

Step-by-step explanation:

Variability refers to how spread out a group of data is. Data sets with similar values are said to have little variability, while data sets that have values that are spread out have high variability.

In the above word problem,

Let's denote the number of $50 notes that Malcolm and Peiling have as M50 and P50 respectively. Similarly, we'll denote the number of $10 notes as M10 and P10 and the number of $2 notes as M2 and P2.

From the problem statement we have the following information:

1. The total number of notes they have is the same: M50 + M10 + M2 = P50 + P10 + P2

2. The number of $2-notes Peiling has is 1/4 of the number of $2-notes Malcolm has: P2 = (1/4)M2

3. The number of $10-notes Peiling has is twice the number of $10-notes Malcolm has: P10 = 2M10

4. Peiling has 8 more $50-notes than Malcolm: P50 = M50 + 8

5. The total number of $2 and $10-notes they have is 42: M10 + M2 + P10 + P2 = 42

Substituting equations (2), (3) and (4) into equation (1) we get:

M50 + M10 + M2 = (M50+8) + 2M10 +(1/4)M2

Solving for M50 we get:

M50 = 8 + 2M10 - (3/4)M2

Substituting equations (2), (3), and (4) into equation (5) we get:

M10 + M2 + 2M10 + (1/4)M2 = 42

Solving for M10 we get:

M10 = 14 - (1/12)M2

Substituting this value of M10 into the equation for M50 we get:

M50 = 8 + 28 - M2/6 - (3/4)M2

Solving for M50 we get:

M50 = 36 - (11/6)M2

Since the number of notes must be a positive integer, the smallest possible value for M50 is when M2=6. This gives us a value of M50=35.

Substituting these values back into the equations for P50, P10 and P2 we find that Peiling has P50=43 $50 notes, P10=28 $10 notes and P2=1.5 $2 notes. However, since the number of notes must be a positive integer, this solution is not valid.

The next smallest possible value for M50 is when M2=12. This gives us a value of M50=34. Substituting these values back into the equations for P50, P10 and P2 we find that Peiling has P50=42 $50 notes, P10=28 $10 notes and P2=3 $2 notes.

Now we can calculate the total amount of money each person has:

Malcolm: 34 * 50 + 14 * 10 + 12 * 2 = $1,864

Peiling: 42 * 50 + 28 * 10 + 3 * 2 = $2,386

So to answer part (a) of the question: Peiling has more money than Malcolm.

To answer part (b) of the question: They have a total of M2 + P2 = 12 + 3 = 15 $2-notes altogether.


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Answer:

3.3125

Step-by-step explanation:

53/16  is the same as   53 ÷ 16 =3.3125

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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Answer:

not point, not segment, but line

Step-by-step explanation:

Extreme values that significantly deviate from the dataset's or graph's normal distribution are known as outliers.

An outlier, to put it simply, is a data point in a data graph or dataset you're dealing with that is abnormally high or abnormally low in comparison to the nearest data point and the rest of the nearby coexisting values.

The vocabulary term is explained as,

1.Outlier - Extreme values that significantly deviate from the dataset's or graph's normal distribution are known as outliers.

2. Cluster - An identifiable cluster of values in a numerical variable's distribution that is close to one another and appears notably more frequently than values on either side of them.

3. Positive linear association - When the variable on the x-axis grows as the variable on the y-axis increases, a positive linear connection exists. An upward-sloping linear regression line demonstrates this.\

4. Negative linear association - A negative linear correlation exists when one variable rises while the other falls. An upwardly sloping straight regression line illustrates this.

5.No association - There is a "negative correlation" when one variable rises while the other one falls. The points in the scatterplot have no connection if there is no correlation between the variables.

6. Non-linear association - When two variables have a nonlinear relationship, the slope of the curve illustrating the relationship alters when the value of one of the variables varies. Any curve whose slope alters when one of the variables' values changes is said to be nonlinear.

Thus, extreme values that significantly deviate from the dataset's or graph's normal distribution are known as outliers.

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If 30% children travelling by bus is represented by 360 children, then total number of students who attended the school are 1200.

The "Percent" is a way of expressing a fraction or proportion as a number out of 100. It is a unit of measurement used to represent the relative size or amount of something compared to the whole.

If 30% of the children at a particular school travel by bus and this represents 360 children, we use this data to find total number of children who attend the school.

Let "X" be = total number of children at the school.

We know that 30% of X represents 360 children, so we can write an equation:

⇒ 30% of X = 360,

⇒ 30% × X = 360,

⇒ 0.3 × X = 360,            ...because 30% = 0.3,

⇒ X = 360/0.3 = 1200,

Therefore, there are 1200 students who attend the school.

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Note that the equation for the parent function y=x² stretched horizontally by a factor of 4 and shifted down 5 units is given as follows: y = (1/16)x² - 5

Note that a parent function is a simple, basic function from which other more complex functions can be derived by applying transformations.

To stretch the graph horizontally by a factor of 4, we divide x by 4, which gives:

y = (1/16)x²

To shift the graph down 5 units, we subtract 5 from the whole function, which gives:

y = (1/16)x² - 5

Therefore, the equation for the parent function y=x^2 stretched horizontally by a factor of 4 and shifted down 5 units is:

y = (1/16)x² - 5

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Answer:

\(4\sqrt{7}a^3\)

Step-by-step explanation:

\(\sqrt{112a^6} \\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\=\sqrt{112}\sqrt{a^6}\\\\=4\sqrt{7}\sqrt{a^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^c\\\\a^6=a^{3\times\:2}=\left(a^3\right)^2\\\\=4\sqrt{7}\sqrt{\left(a^3\right)^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a\\\\\sqrt{\left(a^3\right)^2}=a^3\\\\=4\sqrt{7}a^3\)

Answer:

7

Step-by-step explanation:

7 is shown the most out of the 5 numbers

Answer:

7

Step-by-step explanation:

this because they show 7 3 times

Answer:

Step-by-step explanation:

The step that best describes the one step of photosynthesis is  Mitochondria transform solar energy into sugar.

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

Given are the processes regarding photosynthesis.

The step that best describes the one step of photosynthesis is  Mitochondria transform solar energy into sugar. Plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.

Therefore, the step that best describes the one step of photosynthesis is  Mitochondria transform solar energy into sugar.

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Answer:

0.733

Step-by-step explanation:

Using a calculator or table:

P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)

P(-1.32 < Z < 0.94) = 0.8264 − 0.0934

P(-1.32 < Z < 0.94) = 0.733

Answer:

34 28 37 56 34 37 28 20 43 15

The area of the shaded part of the given figure is 60 square inches'

The given figure is made up of a rectangle and 2 similar triangles

Area of the shaded part = Area of rectangle + area of 2 triangles

From the figure

Area of rectangle = 12 * 4 = 48 square in

Area of one triangle = 0.5(6)(4) = 12 square in

Area  of the figure = 48 + 12

Area  of the figure = 60 square inches'

Hence the area of the shaded part is 60 square inches.

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The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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Answer:

$15.75

Step-by-step explanation:

1.75 x 7 = 12.25

28 - 12.25 = 15.75

Add dollar sign. Final answer is $15.75

Answer:

y=-1/2x+8

y=x-7

(10,3)

10 games played and 3 rides

Step-by-step explanation:

When the rectangle is dilated, the new and the old rectangles will have a different area

The area of the image of the rectangle is 12k^2

The area of the rectangle is given as:

A = 12

The scale of dilation is given as k.

So, the area of the image of the dilation is:

\(A_2 = A * k^2\)

This gives

\(A_2 = 12 * k^2\)

Evaluate the product

\(A_2 = 12k^2\)

Hence, the area of the image of the rectangle is 12k^2

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

Step-by-step explanation:

1. constraints with "\(\geq\)" we should subtract surplus variable S1, S2, S3 and add artificial variable A1, A2, A3

Hence Z = 20 x1 + 32x2 + 40x3 + 0S1 + 0S2 + 0S3 + MA1 + MA2 + MA3

subject to

\(3x_1 +x_2+6x_3-S_1+A_1=9\)

\(x_1+x_2-S_2+A_2=9\)

\(4x_2+x_3-S_3+A_3=12\)

and \(x_1,x_2,x_3,S_1,S_2,S_3,A_1,A_2,A_3\geq 0\)

Answer:

It mus be 70 because you half 140 hence its called 'half life'

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Answer:

When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Step-by-step explanation:

Answer:

example: 1x+2x+5y+3y

if you combine like terms you would be combining anything with a x to other x's and anything with a y to other y's.. etc..

the example combined would be: 3x+8y

hope I was able to help

Step-by-step explanation:

Answer:

The circumference is 50.24 in. and the area is 200.96 in².

Step-by-step explanation:

The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.

The area formula is A = πr² where A = Area, π = pi and r = radius. Again, we're solving for A and we know that r = 8 and π = 3.14 so A = 3.14 * 8² = 3.14 * 64 = 200.96 in².

Answer:

The circumference is 50.24 in. and the area is 200.96 in².

Step-by-step explanation:

MARK SNOG AS BRAINLIEST

The volume of adrenaline you want is 0.25mL

From the question, we have the following parameters that can be used in our computation:

Amount to give = 250 mcg of adrenaline

Available = 1 mL of 1 : 1000 of adrenaline

The expression 1 mL of 1 : 1000 of adrenaline means that

1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)

So, we have

Available = 1 mL * 1000 microgram/mL

Evaluate

Available = 1000 micrograms

This can be expressed as

Available = 1000 mcg

So, we have

Amount to give = 250 mcg of adrenaline

Available = 1000 mcg of adrenaline

When converted to mL, we have

Available = 1 mL of 1 : 1000 of adrenaline

Divide by 4

Amount = 1 mL of 1/4 : 1000/4 of adrenaline

Evaluate

Amount = 1 mL of 1/4 : 250 of adrenaline

This implies that

Amount = 1 mL of 1/4

Evaluate

Amount = 0.25 mL

So, the amount is 0.25 mL

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