Lisa paid something that cost $420 and they gave her 40%.How much did she pay?

The first condition is that there must be at least 3 hamburgers or 3 bratwursts for each of the 30 participants. This means that the sum of hamburgers and bratwurst must be at least 90. This can be expressed as:

The second condition says that the maximum amount to pay is $120, this means that the total cost of hamburgers and bratwurst must be less than $120. This can be expressed as:

Therefore, the system that represents the situation is:

3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

The answer is 57.

Step-by-step explanation:

You have to substitute w = 2 into the expression :

\(8 {w}^{2} + 8w + 9\)

\(let \: w = 2\)

\(8 {(2)}^{2} + 8(2) + 9\)

\( = 32 + 16 + 9\)

\( = 57\)

Answer:

57

Step-by-step explanation:

\(8*2^{2}+8*2+9\\8*4+16+9\\32+16+9\\48+9\\57\)

Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10

Step-by-step explanation:

Answer:

There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:

A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.

A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.

A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.

A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.

There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

p=-6

Step-by-step explanation:

So we need to get p by its self so we have to to divide both sides to get the answer. 7p=-42 so p= -6 because we divided -42/7

Answer:

Your answer would be 4, 8 and 12

Step-by-step explanation:

Your second number (8) is twice of the first number (4)

Your third number (12) is four more then the second number (8)

The sum of all three numbers is 24.

4 + 8 + 12 = 24

The number of years the annuity will last if it pays $300 per year is 18 years.

An annuity is an investment that pays the investor a fixed periodic amount for many years in the future.

The annuity payment may be monthly or yearly, as the case may be.

An online finance calculator can compute the annual payment (annuity).

I/Y (Interest per year) = 7%

PV (Present Value) = $3,000

PMT (Periodic Payment) = $-300

FV (Future Value) = $0

Results:

N = 17.795

Sum of all periodic payments = $-5,338.44

Total Interest $2,338.44

Thus, for an annuity with a present value of $3,000, earning 7% per annum and paying $300 per year will last almost 18 years.

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The present value of an annuity is $3,000 and earns 7% per annum.

Find the number of years the annuity will last if it pays $300 per year.

Answer:

5

Step-by-step explanation:

\(\sqrt{(7-2)^2+((-1)-(-1))^2\\\)

subtract 2 from 7

\(\sqrt{5^2+((-1)-(-1))^2\)

raise 5 to the power of 2

\(\sqrt{25+((-1)-(-1))^2\)

Multiply -1 by -1

\(\sqrt{25+(-1+1)^2\)

Add -1 and 1

\(\sqrt{25+0^2\)

Add 25 and 0

\(\sqrt{25\)

rewrite 25 as 5^2

\(\sqrt{5^{2}\)

pull term out from under the radical assuming positive real numbers.

5

The probability that a student is a female given that they have an A is; 2/7

From the given table, we see that;

Number of males that got A = 4

Number of males that did not get A = 8

Number of females that got A = 6

Number of females that did not get A = 3

The probability that a student is a female given that they have an A is;

P(Female|A) = 6/(4 + 8 + 6 + 3)

P(Female|A) = 6/21 = 2/7

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

p=2

Step-by-step explanation:

4p+2≤10

    -2   -2

4p≤8

divide by 4

p≤2

Answer:

p ≤ 2

Step-by-step explanation:

The probability of getting both these numbers correctly is of:

0.028%.

The probability of an event in an experiment is obtained as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

In this problem, the probabilities are presented as follows:

The probability of getting both these numbers correctly is given by the multiplication of the probabilities of getting the correct number on each trial, hence:

p = 1/60 x 1/59 = 0.00028 = 0.028%.

The problem states that two numbers are selected from a set of 60, and it asks for the probability that both are guessed correctly.

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Answer:

Each square on the travel chessboard is 0.75 inches by 0.75 inches

Step-by-step explanation:

A scale factor of 1/3 when dilating means that we divide 2.25 by 3. That equals 0.75 :)

Answer:

es 362770

Step-by-step explanation:

saque esta imformacion de la calculadora

Answer:

10 + 4i

Step-by-step explanation:

To solve this, just combine the like terms:

\(\sf{(6+9i)+(4-5i)}\)

\(\sf{6+9i+4-5i}\)

\(\sf{6+4+9i-5i}\)

\(\sf{10+4i}\)

Hence, the answer is 10 + 4i

Answer:

$1107.55

Step-by-step explanation:

3,589.90 x .0590/12 = $17.65

3,589.90 + 17.65 =3,607.55

3,607.55 - 2,500 = $1,107.55

      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

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Answer:

40.07 and 40.070...

Step-by-step explanation:

(4×10)+(7×1/100)

40+0.07

40.07 or 40.070(as the extra zeros don't count)

Hope you're having a splendiferous day or night.

Answer:

The two decimals are 40.07 and 40.070 that are equivalent to (4 × 10) + (7 × 1/100)

Step-by-step explanation:

(4 × 10) + (7 × 1/100)

40 + (7 × 0.01)

40 + 0.07

40.07 or 40.070 or 40.07000..

Thus, The two decimals are 40.07 and 40.070 that are equivalent to (4 × 10) + (7 × 1/100)

-TheUnknownScientist 72

All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.

Expenditure Approach:

GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.

GDP = Sales of supercomputers

= (3 * AED1,000,000) + (1 * AED800,000)

= AED3,800,000 + AED800,000

= AED4,600,000

Income Approach:

GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.

GDP = Wages + Interest + Taxes

= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)

= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)

= AED1,200,000 + AED100,000 + AED300,000

= AED1,600,000

Production Approach:

GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.

GDP = Sales price of supercomputers - Cost of components

= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)

= AED3,000,000 + AED800,000 - AED2,000,000

= AED1,800,000

As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

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Answer:

5.25

Step-by-step explanation:

1.5 x 1 x 3.5

Given:

The base of the triangle = 50 millimetres

Height of triangle = 36 millimetres

Find-:

Area of triangle

Explanation-:

The area of a triangle is:

The area of a triangle is:

Area is:

The area of a triangle is 900 square millimeters

Answer:

We know that the x-coordinate of point A is -11, and that the distance between point A and point B is 15 units. Let's call the y-coordinate of point A "y". Then we can use the distance formula to find the two possible values of y:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (-11,y) is the coordinates of point A, and (x2,y2) = (1,2) is the coordinates of point B. Substituting the values, we get:

15 = sqrt((-11 - 1)^2 + (y - 2)^2)

15 = sqrt(144 + (y - 2)^2)

15^2 = 144 + (y - 2)^2

225 = 144 + (y - 2)^2

81 = (y - 2)^2

y - 2 = ±9

y = 2 ± 9

So the possible coordinates of point A are (-11,11) and (-11,-7).

Answer:

3

Step-by-step explanation:

1 = 1

Answer:

4 units right, 2 units up

Step-by-step explanation:

For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).

Answer:

(5.5,2)

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints (7-6) and (4-10)

The formula for calculating the x and y coordinate is expressed as

X = x1+x2/2

X = 7+4/2

X = 11/2

X = 5.5

Y = y1+y2/2

Y = -6+10/2

Y = 4/2

Y = 2

Hence the required midpoint is at (5.5,2)

Answer:

(5.5, -8)

Step-by-step explanation:

Edg 2021

Answer:

y=45x+150

its a function but not a linear function

Step-by-step explanation:

hope this helps

Answer:

In order to get the highest yield, 25 tress should be planted

Step-by-step explanation:

Given the data in the question;

Let n be number bushel, b is bushels per tree, t is number of trees

from the question, if t = 20, b = 30

and if t = 21 then b = 29

so t + b is constant

t + b = 50 ----- let this be equation

now, n = t × b

so b = n / t

hence from equation, we input b = n/t

t + n/t = 50

n/t = 50 - t

n = t(50 - t)

n = 50t - t²

now we get the derivatives

Note, The maximum amount of trees is simply where the derivative is equal zero, so;

0 = 50 - 2t

2t = 50

t = 50/2

t = 25

Therefore, In order to get the highest yield, 25 tress should be planted

Answer:

\(-2(x-7)+(x+1)=5\)

Step-by-step explanation:

We can divide both sides by -2 to obtain

\(-2(x-7)+(x+1)=5\)