Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?

Answer:

12 hours

Step-by-step explanation:

Answer:

B 13/2

Step-by-step explanation:

2x² + 7x - 15 = 0

First we want to find the two solutions

We can do this by using the quadratic formula

Quadratic formula:

[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]

Where the values of a,b and c are derived from the equation.

The equation is put in ax² + bx + c = 0 form

2x² + 7x - 15 = 0

so a = 2, b = 7 and c = - 15

We now plug these values into the quadratic formula

(-(7) + or - √7² - 4(2)(-15) ) / 2(2)

first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)

remove parenthesis on 7

(-7 + √7² - 4(2)(-15) ) /2(2)

Apply exponents 7²

(-7 + √49 - 4(2)(-15) ) /2(2)

Multiply -4,2 and -15

(-7 + √49 + 120 ) / 2(2)

add 49 and 120

(-7 + √ 169 ) / 2(2)

Take square root of 169

(-7 + 13 ) / 2(2)

add 13 and -7

6/2(2)

multiply 2 and 2

= 6/4

The first solution is 6/4 or 1.5

Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)

For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.

So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)

So second solution: ( -7 - 13 ) / 2(2)

subtract 13 from -7

-20/2(2)

multiply 2 and 2

-20/4

divide

The second solution is -5

Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s

The two solutions are 6/4 and -5.

6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s

So if r = 6/4 and s = -5

Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2

So the answer is B. 13/2

Answer:

(3x+2) (x+5)

Step-by-step explanation:

3x²+17x+10

SPLITTING OF MIDDLE TERM

3x²+15x+2x+10

COMMON FACTOR FROM PAIRS

3x(x+5) + 2(x+5)

= (3x+2)(x+5)

Answer:

6hm-8h^2

Step-by-step explanation:

2h(3m-4h)

2h*3m=6hm

2h*4h=8h^2

=6hm-8h^2

Answer:

Our equation: y = 200x/3 + 100

Step-by-step explanation:

The trend line is linear.

y = mx + b

=> b = y-intercept = 100

=> m = slope = rise/run

=> 400/6 = 200/3

=> Slope = 200/3

Our equation: y = 200x/3 + 100

Hoped this helped.

Step-by-step explanation:

6, 9, 12, 18, 24, 27, 30, 36, 42, 45, 48, 54, 60, 63, 66, 72, 78, 81, 84, 90, 96, 99, 102, 108, 114, 117, 120, 126, 132, 135, 138, 144, 150, 153, 156, 162, 168, 171, 174, 180, 186, 189, 192, 198

I think that's your answer

Answer:

34

Step-by-step explanation:

numbers divisible by 4 :

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200

numbers divisible by 12 :

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192

numbers divisible by 4 but not by 12 :

4, 8, 16, 20, 28, 32, 40, 44, 52, 56, 64, 68, 76, 80, 88, 92, 100, 104, 112, 116, 124, 128, 136, 140, 148, 152, 160, 164, 172, 176, 184, 188, 196, 200

34

Answer:

Step-by-step explanation:-0y+2-4x

Answer:

C

Step-by-step explanation:

change decimetres into metres

length - 7.3m

Width - 4.2m

to find an area, do length times width

7.3 x 4.2 = 30.66 square metres

I hope this helped :)

Answer:

C. 30.66 square meters

Step-by-step explanation:

The equation for area is A = L × W

L = length

W = width

Because a demimeter is 1 tenth of a meter your new measurements are 7.3 and 4.2.

multiply the measurements to find the area of 30.66² meters

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry

Answer:

The answer is C. Yes, Abc= Adc

Answer:

Yes, ABC is congruent to CDA by SSS

Your answer is correct; and here's why:

side AB corresponds to side CD.

and side BC corresponds to DA

So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.

Step-by-step explanation:

Answer:

the answer is C trust me by

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

The solution is: the surface area of the cylinder is 301.44 km².

Here, we have,

from the given diagram, we get,

For surface area of a cylinder:

A = 2(π) × (radius) × (height) + 2(π)×(radius squared)

For the first half of that equation:

2(π) × (radius) × (height)

2 × (3.14) × (4) × (8)

= 200.96 km²

Now the second half of that equation, the area of the circle ends:

2(π)×(radius squared)

= 2 × (3.14) × (4) × (4)

= 100.48 km²

Add them up:

200.96 km² + 100.48 km² = 301.44 km²

Hence, The solution is: the surface area of the cylinder is 301.44 km².

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Answer:

Gross Pay for 1 paycheck

Deductions for federal tax, state tax, and city tax hope it helps :)

Step-by-step explanation:

The net monthly income of Jason is $194.68 and the net annual salary is 23324.16.

Gross pay of an employee is basically sum of his basic pay, dearness allowance, any other allowance only. Public providend fund, income tax are not deducted from it.

1) Gross paycheck=2*40*25.5=$2040.

2) Federal tax=2040*21%=$428.4

3) State tax=25=$25

4) City tax=2040*12%=$244.8.

5) Deductions=2040*12.45=$252.96.

6) Net monthly income=2*(Gross pay-federal tax-state tax-city tax-deductions-deductions for F.IC.A. or social security tax)

=2*[2040-428.4-25-244.8-252.96-117]

=1943.68

7) Net annual salary=12* net monthly income.

=1943.68*12  ( 1year= 12 months)

=$23324.16

Hence the net monthly income of Jason is $194.68 and the net annual salary is 23324.16.

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The way that Robby responds to Keith confessing his fear of Chickens is;  by sharing that makes robby uneasy.

From the given text, we see that an aggressive chicken charged towards keith which made him scared that he ran to the gate.

Now, Robby noticed what happened and ran to keith but because he knew he was scared and wasn't easily going to open up his fears to him, he shared with him how he too can't swim in ponds as they make him nervous. He did that to show Keith that everyone has one fear or the other so that he does't feel bad.

Thus, we can say that the way that robby respond to keith confessing his fear of chickens is by sharing with him that also makes him uneasy.

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Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

Brainliest?

Answer:

20

Step-by-step explanation:

first, find out how much money you already made:

78 x 3 = 234

then, find out how much more you need to make:

350-234=116

divide the price of candy baskets by the amount of money left y out need to make:

116/6=19.3

round becauee you can’t sell .3 of a basket

19.3 rounds to 20

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

Answer:

142cm

Step-by-step explanation:

give me brainlylee plz

The area of the circle semicircle will be 13288.28 square centimeters.

Suppose the circle has a radius of 'r' units, then, its area is given as:

A = πr² square unit

The radius of the semicircle is 92 cm.

The area of the semicircle is half of the area of the circle.

Then the area of the circle semicircle will be

A = π x 92² / 2

A = π x 8464/ 2

A = 4232 x 3.14

A = 13288.48 square cm

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Answer:

The probability that a letter at random is from V is 5/26 or 19.23%

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

Answer:

Hello, have a great day.

Answer:

85 1/3 pi cm3 I hope this helps.

Answer:

Step-by-step explanation:

Area of trapezoid:

Substitute values:

Answer:

39 cm²

Step-by-step explanation:

Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]

=> [tex](\frac{4 +9}{2}) 6[/tex]

=> [tex](\frac{13}{2} )6[/tex]

=> 13 x 3

=> 39 cm²

Hoped this helped.

Answer:

3x2 - 4x

Step-by-step explanation:

this is the algebric expression

Answer:

210

Step-by-step explanation:

25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.

Answer:

Step-by-step explanation:

Reflecting a function across the Y axis means replacing x with -x.

First one could *almost* work, if there wasn't the minus sign at the beginning, so it's a no.

Second one is also a no, the original one is always positive, the second one is always negative.

3rd one is reflecting the graph all right, but it's also adding some sort of stretch (try with the point x=1 in both cases, [tex]f(1) = \frac 32[/tex] while [tex]g_3(1) = 2/3[/tex]

4th one is the charm.

The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To reflect the function f(x) = (3/8) 4^x across the y-axis, we need to replace x with -x in the function.

This will cause the function to be reflected across the y-axis.

So,

The function that represents the reflection of f(x) = (3/8) 4^x across the y-axis is:

g(x) = (3/8) 4^(-x)

We replaced x with -x in f(x) and simplified to obtain g(x).

Therefore,

The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]

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Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

The function is given by:

[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

The horizontal asymptote is the limit of the function as x goes to infinity, hence:

[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

Considering only the terms with the highest exponents:

[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]

Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

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The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]

Plugging in the values gives;

[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]

Which gives;

[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]

Interest earned by investing in the savings account for one year, I = 0.018·x

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