Lenny's goal is to run a total of 18 miles in 4 days the table shows his log for the number of miles he ran on Monday ,Tuesday,Wednesday .how many miles must Lenny run on Thursday to reach his goal?

The percentage decrease is 9.83%.

The previous year Springfield middle school students were 620. This year it is 559 students.

Here we have to find the decrease in the percentage of students from the previous year.

The decrease in the students = 620- 559

                                                 = 61

Percentage decrease = (decrease/number of students last year)× 100

                                    = (61/ 620 )× 100

                                    = 0.09838 ×100

                                    = 9.83%

Therefore the percentage decrease in the number of students from the previous year is 9.83%

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On multiplying  two fractional  terms  [tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   we get [tex]22\frac{1}{2}[/tex]  as a result.

multiplication- it is an operation that represent the basic idea hope repeated addition of the same number.

mixed fraction - it is represented with its quotient and remainder.

To solve above equation firstly solve mixed fraction.

 [tex]6\frac{1}{4}[/tex]  = 25/4

 [tex]3 \frac{3}{5}[/tex]  = 18/5

then on multiplying them we get

[tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   = 25/4 X 18/5

= 45/2

=[tex]22\frac{1}{2}[/tex]

 [tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   = [tex]22\frac{1}{2}[/tex]

On multiplying  two fractional  terms  [tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   we get [tex]22\frac{1}{2}[/tex]  as a result.

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The solution is   [tex]\frac{9a - 1}{6}[/tex]

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Find the lowest common denominator (LCD), convert each algebraic fraction to an equivalent fraction with the common denominator, and then combine each numerator to add or subtract algebraic fractions with distinct denominators. Reduce if you can.

Use the highest exponent of any common variable factor that has more than one exponent.

Add multiplied terms together to get a single fraction.

[tex]\frac{2a}{3} + \frac{5a}{6} + \frac{-1}{6}\\ \\ = 2(\frac {2a}{3}) + \frac{5a}{6} + \frac{-1}{6}\\\\\\\ = \frac{4a + 5a - 1}{6} \\ \\= \frac{9a - 1}{6}[/tex]

Therefore, the answer is (9a - 1) / 6

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The hourly rate will be $21.6

Taxes are money charged from the good bought or sold. Given the following parameters

Amount received = $826.60

Tax paid = $91.40

Balance = 826 - $91.40

Balance = $734.6

This shows that the man collected $734.6 for a 34 hours work. The hourly rate will be;

Hourly rate= $734.6/34

Hourly rate= $21.6

Hence the hourly rate will be $21.6

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Answer:

Step-by-step explanation:

3(2x−1)<2(4+3x)

Step 1: Simplify both sides of the inequality.

6x−3<6x+8

Step 2: Subtract 6x from both sides.

6x−3−6x<6x+8−6x

−3<8

Step 3: Add 3 to both sides.

−3+3<8+3

0<11

any number below 11 is a solution.

Answer:

70 m / 40 seconds = 7/4 m/s or 1.75 m/s

Step-by-step explanation:

the line stops at 0.7 time = 40 seconds

70 m / 40 seconds = 7/4 m/s or 1.75 m/s

From the given graph, the slope of the given line is [tex]m=\frac{-4}{3}[/tex]

Given,

The points

[tex](x_{1},y_{1})=(-2,3)[/tex]

[tex](x_{2},y_{2})=(1,-1)[/tex]

The slope of the line m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Substitute the values in the equation

[tex]m=\frac{(-1)-(3)}{1-(-2)} \\m=\frac{-1-3}{1+2}\\ m=\frac{-4}{3}[/tex]

Hence, the slope of the given line is [tex]m=\frac{-4}{3}[/tex]

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The required equation is 2.5x + 5y + 5.7z = 75.

Mass is measured in terms of weight of body. Gram, kilogram, and pounds are some of the standard mass units to measure.

Given that,

Pennies, nickels, and quarters are added to a scale by Stephanie until the combined weight of the coins is 75 grams.

Number of pennies = x

Each pennies has a mass = 2.5 grams

Mass of x pennies  = 2.5x grams

Number of nickels = y

Each nickels has a mass = 5  grams

Mass of y nickels = 5y grams

Number of Quarters = z

Each Quarter has a mass = 5.7  grams

Mass of z Quarters = 5.7z grams

Total Mass = Mass of x Pennies + mass of y nickels + mass of z quarters

= 2.5x + 5y + 5.7z grams

Total Mass = 75 grams

Equation both is 2.5x + 5y + 5.7z = 75

The required equation is 2.5x + 5y + 5.7z = 75.

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Answer:

-4

Step-by-step explanation:

Compute the slope of the line through the following points:

p_1 = (-7, -2) and p_2 = (-2, -22)

The slope of the line through (x_1, y_1) and (x_2, y_2) is:

(y_2 - y_1)/(x_2 - x_1)

Substitute (x_1, y_1) = (-7, -2) and (x_2, y_2) = (-2, -22):

= (-22 - -2)/(-2 - -7)

-(-7) = 7:

= (-22 - -2)/(-2 + 7)

-2 + 7 = 5:

= (-22 - -2)/5

-(-2) = 2:

= (-22 + 2)/5

-22 + 2 = -20:

= (-20)/5

The gcd of -20 and 5 is 5, so (-20)/5 = (5 (-4))/(5×1) = 5/5×-4 = -4:

Answer:  = -4

Answer:

TU = 27

Step-by-step explanation:

ST + TU = SU

(8x - 11) + (14x - 15) = 19x - 17

8x - 11 + 14x - 15 = 19x - 17

22x - 26 = 19x - 17

22x - 19x = 26 - 17

3x = 9

x = 3

TU = 14x - 15 = 14(3) - 15 = 27

Answer:

2L+2W

Step-by-step explanation:

U JUST MOVE THE 2 TO THE L AND MOVE THE 2W TO THE OTHER SIDE. I THINK MY ANSWER IS RIGHT BUT MAYBE WAIT FOR ANOTHER PERSON

Confirmed Solution:

[tex]p=2l+2w[/tex]

Hope this helps!

Answer:

Answer in the picture attached

Answer:

(0.98768834,0.15643446)

Step-by-step explanation:

yo creo

The coordinates of the pre-image of point F' is (-2, 4)

On the given graph, the location of point F' is given as:

F' = (4, -2)

The rule of reflection is given as

Reflection across line y = x

Mathematically, this is represented as

(x, y) = (y, x)

So, we have

F = (-2, 4)

Hence, the coordinates of the pre-image of point F' is (-2, 4)

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Answer:

It would be 28.69.

Explanation:

4.99 x [tex]5 \frac{3}{4}[/tex] = 28.6925

Because of the kind of number (28.6925), you will have to round up.

To round up the number has to be a 5 or higher. Well, you have a 9 and then a 2. A 2 can't round up a 9, so you just end up discarding the 2 and the 5 at the end of the number.

Henceforth, you are left with 28.69.

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

Hope this makes sense and is correct!

God bless! :)

Answer:

He worked 7 hours

Step-by-step explanation:

X= Number of jobs, H= Hours worked T= Total money made

firstly we have to arrange this into a formula, which will allow you to insert any a value of one variable and find the other variable

this equation is 75x + 45h = T

from this question we know that he worked 2 jobs and made a total of 456$

Adding these into the equation we get:

(75*2) + 45h = 465

solving to find h by isolating the variable, the final answer will be

h = 7

The linear function for the percent change in the battery while Bailey is playing the gane is:

B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the function is:

B(t) = 100 - 0.5t.

The battery will be of 0, when:

B(t) = 0.

100 - 0.5t = 0.

t = 100/0.5.

t = 200.

Hence the function is:

B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.

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The value of x is -1 and the values on both sides are the same, hence the equation has infinite number of solution

Linear equations are equation that has a leading degree os 1. Given the equations below:

-x +4 = x + 6

Collect the like terms

-x - x = 6 - 4

-2x =2

Divide both sides by -2

-2x/-2 = 2/2

x = -1

For the expression

5n + 7 =. 7(n+1) - 2n

5n + 7 = 7n + 7 - 2n

simplify

5n - 5n = 7 - 7

0n = 0

Since the values on both sides are the same, hence the equation has infinite number of solution

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Answer:

Step-by-step explanation:

a

According to the given statements,

The relationship between Distance and weight is Inversely proportional.

If one variable rises, the other will fall; conversely, if one variable falls, the other will rise. These are inversely proportional variables or quantities. In other words, they are said to be inversely proportionate when an increase in one quantity causes a reduction in the other and vice versa.

According to the given values,

Here, distances are given as - (ft) 12, 24, 36, 48, 60

and Weight (Lb) are given as

7500,3750, 2500, 1875, 1500

When distance is small, the weight is high.

Distance ∝ 1/Weight

So, The relationship between distance and Height will be inversely proportional.

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A . 3 pounds of potatoes

B . 2 pounds of potatoes

A . Janice will purchase potatoes until the value of potatoes is less than the cost of potatoes. Janice has $5.00 to spend on potatoes and the cost of potatoes is $1.00.

By assuming that the First pounce of potatoes is worth $1.50. which is greater than $1.00. If the second pound is worth $1.14, then Janice will purchase these as well, since the value is more than $1.00. If the remaining pounds are worth $0.30 then Janice will not purchase these because the value is less than the cost.

Thus Janice will purchase 3 pounds of potatoes for the Total cost of $3.00

B. Now assume Janica has only $2.00 to spend on potatoes. She will purchase the first pound which is $1.50 and the second pound which is $1.14. She now spends her entire amount of money on potatoes. If she want to purchase she could not do that.

Thus Janice will purchase 2 pounds of potatoes at a total cost of $2.00

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The complete question is:

Potatoes cost Janice $1 per pound, and she has $5.00 that she could possibly spend on potatoes or other items. If she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30 per pound, how many pounds of potatoes will she purchase? How many pounds will she purchase if she has only $2 to spend?

Percentage decrease = Difference/Original price*100

[tex] = \frac{18 - 12}{18} \times 100 = \frac{600}{18} = 33.33\%[/tex]

Hope this helps :)

Answer:

270 9764

359

548

69

80

554

331

594

850

667

216

8674

213

253

5

3

64

7

45

692

213

649

8574

6646

549

837

849

Answer:

  x = 40

Step-by-step explanation:

You want x when y = 16, given that x = 2 when y = 1/25 and x is proportional to the square root of y.

The given relation between x and y is ...

  x = k√y . . . . . . x is proportional to the root of y

The value of k is found from ...

  k = x/√y = 2/√(1/25) = 10

Then for y = 16, we have ...

  x = 10·√16 = 10·4

  x = 40 . . . . . . . . when y = 16

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Answer:

[tex]x= \dfrac{bma}{bm+1}[/tex]

Explanation:

Given expression:

[tex]\hookrightarrow b = \dfrac{x}{m(a-x)}[/tex]

shift the variables

[tex]\hookrightarrow b m(a-x)= x[/tex]

distribute inside parenthesis

[tex]\hookrightarrow bma-bmx= x[/tex]

collect terms with "x" in one side

[tex]\hookrightarrow -bmx-x= -bma[/tex]

divide both sides by -1

[tex]\hookrightarrow bmx+x= bma[/tex]

factor out common term "x"

[tex]\hookrightarrow x(bm+1)= bma[/tex]

shift the variables making "x" the subject

[tex]\hookrightarrow x= \dfrac{bma}{bm+1}[/tex]