Please help with this

Answer:

Step-by-step explanation: use your brain  please you will get it ahhh

The solution to the questions are:

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

Length = 350 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (350 - 2x) * x

Evaluate

A = 350x - 2x²

Differentiate and set to 0

350 - 4x = 0

So, we have

4x = 350

Divide by 4

x = 87.5

Recall that

Length = 350 - 2x

So, we have

Length = 350 - 2 x 87.5

Evaluate

Length = 175

The area is then calculated as

Area = Length x Width

So, we have

Area = 175 x 87.5

Evaluate

Area = 15312.5 square meters

Hence, the area is 15312.5 square meters

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Mina uses 17/18 inches of chalk.

What is algebra?

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. In algebra, we utilize integers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine integers with variables like x, y, and z.

Here, we have

she used 1/3 of a piece of chalk that was originally 2 5/6 inches long.

Now, we have to find how many inches of chalk did she use?

= 1/3 × 2 5/6

= 1/3 × 17/6

= 17/18 inches.

Hence, Mina uses 17/18 inches of chalk.

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Answer:

17/18

Step-by-step explanation:

I cant see the full sentence but yes it is because Q and P and both on the M line which is both 20

Answer:

∴ Samantha ate [tex]\frac{1}{3}[/tex] of the pizza on Saturday.

Step-by-step explanation:

Fraction of pizza left on Friday = [tex]1-\frac{1}{2}[/tex]

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

∴ Fraction of pizza eaten on Saturday = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{2}[/tex]

                                                               = [tex]\frac{1}{3}[/tex]

Answer:

1  1/2 gallons

Step-by-step explanation:

there are two pints in one quart so 2 quarts plus 8 pints equals

2 quarts plus 4 quarts, or 6 quarts

there are 4 quarts in one gallon so 6 quarts is the same as 1 gallon and 2 quarts

2 quarts is half of one gallon

Step-by-step explanation:

1 have to make number cross the top number n sce

You apply the rule for a pair of parallel angles cut by a line. So that means that 59 degrees equals 2x-15.

59=2x-15

59+15 = 2x

74=2x

x= 37

Proof:

L.H.S. = A - (B - C)

= A - (B ∩ C'), since A - B = A ∩ B'

= A ∩ (B ∩ C')'

= A ∩ {B' U (C')'}, since (A ∩ B)' = A' U B'

= A ∩ (B' U C)

= (A ∩ B') U (A ∩ C)

= (A - B) U (A ∩ C) = R.H.S.

∴ A - (B - C) = (A - B) U (A ∩ C)

Hence, This completely the proof.

Some properties of set algebra:

1. A U Φ = A, A ∩ Φ = Φ

2. A U U = U, A ∩ U = A

3. A U A = A, A ∩ A = A

4. A U (B U C) = (A U B) U C

5. A ∩ (B ∩ C) = (A ∩ B) ∩ C

6. A U (B ∩ C) = (A U B) ∩ (A U C)

7. A ∩ (B U C) = (A ∩ B) U (A ∩ C)

8. A U A' = U

9. A ∩ A' = Φ

10. (A U B)' = A' ∩ B'

11. (A ∩ B)' = A' U B'

12. A - B = A ∩ B'

13. A - (B ∩ C) = (A - B) U (A - C)

14. A - (B U C) = (A - B) ∩ (A - C)

15. A Δ B = (A - B) U (B - A)

16. A Δ B = B Δ A

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The rules for transformation of first graph is (x + 4, y + 6).

The rules for transformation of second graph is (x + 4, y + 6).

Transform the forms on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations are the foundation for the majority of proofs.

In first graph it is clear that the graph is translated and the rule for first graph is (x + 4, y + 6).

Similarly, the second graph is also translated and the rule is (x+3, y).

Therefore, the rule for first graph is (x + 4, y + 6) and the rule for second graph is (x + 4, y + 6).

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Answer:9

Step-by-step explanation:um

Answer: no.

Step-by-step explanation: no.

Answer:

a=34π

b=64π

c=39π

d=25π

Step-by-step explanation:

Example:

120 and 45

10 and 12 can go into 120. 10 can go into 5 and 2, while 12 can go into 3 and 4. 4 can be still divisible, so it would be 2 and 2.

45 is 9x5. 9 can be divisible, so you would turn them into 3 and 3.

The LCM will be the product of the largest multiple of each prime that appears on at least one list. For example, we have a 2, 3, and 5, so I’ll choose the largest multiples of each and find their product. There are three 2's, three 3's, and 5, or 8 x 9 x 5. That would get you 360.

See how you could get that with your problem?

P.S. I don't answer questions directly, instead, I use examples. Feel free to use other suggestions if this one doesn't appeal to you.

"The population of the culture 6 days after inoculation is 1,000(1.15)^6 ; 2313 bacteria"

Initial inoculated bacteria = 1000

Growing rate of bacteria = 15%

we have to find the population of the culture after 6 days

y = 1000 ( 1 + 15/100)^6

y= 1000 (1.15)^6

y = 1000(2.313060)

y = 2313.06 ≈ 2313

The population of the culture 6 days after inoculation is 2313.

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[tex](7.8*10^5)+(2.4 * 10^5)[/tex]

[tex](7.8 * 100,000) + (2.4 * 100,000)[/tex]

[tex]780,000 + 240,000[/tex]

= 1,020,000

Answer:

1020000

Step-by-step explanation:

(7.8 x 10^5) + (2.4 x 10^5)

780000+240000

1020000

Hopes this helps please mark brainliest

a) The binomial distribution is suitable to use when:

b) The probabilities are given as follows:

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The binomial distribution is used when there is a fixed number n of trials, with each trial having only two possible outcomes, success or failure, and trials are independent, that is, the probability of success on any trial is the same.

For item b, the parameter p is obtained as follows:

The sum of all the probabilities is of one, hence:

5 x 0.5p + p = 1

3.5p = 1.

p = 1/3.5

p = 0.2857.

For item i, the probability is obtained as follows:

Hence:

p = (1 - 0.2857)^5 x 0.2857 = 0.0531 = 5.31%.

For item ii, the probability is P(X = 3) when n = 8, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{8,3}.(0.2857)^{3}.(0.7143))^{5} = 0.2428[/tex]

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The given triangle  ∆QRT is isosceles triangle.

What is isosceles triangle?

  Triangles with two equal sides are referred to as isosceles triangles. Also equal are the two angles that face the two equal sides. To put it another way, "An isosceles triangle is a triangle with two congruent sides." Assume that the sides AB and AC of the triangle ABC are equal, in which case the triangle ABC is an isosceles triangle with B = C. According to the theorem, "if the two sides of a triangle are congruent, then the angle opposite to them is also congruent."

Here the given points are Q(-2,-1) , R(1,5) , T(-8,-4).

Using distance formula

Now , The Distance between the points can be measure as :

D=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

QR = [tex]\sqrt{(1+2)^2+(5+1)^2}[/tex]

=>QR=[tex]\sqrt{3^2+6^2} = \sqrt{9+36} =\sqrt{45}=3\sqrt{5[/tex] unit

Now RT = [tex]\sqrt{(-8-1)^2+(-4-5)^2} =\sqrt{9^2+9^2} \\[/tex]

=>RT=[tex]\sqrt{81+81}=\sqrt{162} = 9\sqrt{2}[/tex] unit

Now TQ  = [tex]\sqrt{(-2+8)^2+(-1+4)^2} =\sqrt{6^2+3^2} \\[/tex]

=>TQ=[tex]\sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex] unit.

Here QR=TQ then

Hence the given triangle is isosceles triangle.

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Answer: how did u get a pfp

Step-by-step explanation:

The length of the garden is 63ft, in the rectangle

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,

Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.

The given perimeter is 210ft

let l be the length and 2/3 of l is the breadth.

We know that 2(a+b) = 210

2(l + 2/3l) = 210

5/3 l = 105

l = 105* 3/5 = 63ft

Hence the length of the garden is 63ft.

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Answer:The answer is 4

Step-by-step explanation:BEcause of the mail´s mystery number

The smallest number of bags the groundskeeper must buy to cover the circular field is 4.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The longest line which can be drawn inside the circle will be the diameter.

The perimeter of the circle = 2πr where r is the radius of the circle.

As per the given,

Diameter of the circular field = 290 feet

Radius = 290/2 = 145

Area of circle = πr² = π(145)²

⇒ 66051.985 feet²

In one bag = 50 pounds

Area cover in one bag = 50 × 400 = 20000

Number of bags needed to cover the whole area

⇒ 66051.985/20000 = 3.3025

Since the number of bags is a whole quantity thus it will round up to 4.

Hence "The smallest number of bags the groundskeeper must buy to cover the circular field is 4".

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3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.

Given, we are asked to determine:

How many kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper = ?

convert kg to ounces.

6kg = 211.644 ounces.

90%x+15%(211.644)=40%(211.64+x)

0.9x+0.15(211.64)=0.4(211.64+x)

0.9x+31.7466 = 84.6576 + 0.4x

0.9x - 0.4x = 84.6576 - 31.7466

0.5x = 52.911

x = 52.911/0.5

x = 105.822

now convert ounces to kg.

= 3kg

Hence approximately 3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.

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For the z-score = 1, the percentile = 84.13%

In this question, we need to find the percentile when z-score is 1

We know that a Z-scores is a normalized score that used to compare values relative to their population. z-score represents a specific location in the normal distribution, so that there is a certain area that is to the left of that z-score. The percentile associated to a z-score is nothing but the area to the left of that z-score.

When z = 1 then the percentile would be 84.13%

Therefore, for the z-score = 1, the percentile is 84.13%

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Answer:

30 gallons of gas is left

Step-by-step explanation:

1680 is what we start with

25 filled with 24

25*24=600

35 filled with 30

35*30= 1050

So we take away what we used

600+1050= 1650

We started with 1680

1650 got taken away so

1680-1650= 30

30 gallons are left

Answer:

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

Initial volume of gas in the storage tank is 1680 gallons.

Cars took:

Trucks took:

Gas left in the storage tank:

Answer:

$8

Step-by-step explanation:

Mary and Tom bought a gift for their mother for Mother's Day. Tom paid $28.00, and Mary paid $12.00. If they wanted to share the cost of the gift equally, how much money does Mary owe Tom?

total paid: 28 + 12 = $40

if they split equally: $40/2 = $20 each

because Mary only paid $12 she owes Tom: 20-12 = $8

Answer:

12 ÷ 3 = 24 ÷ 6

Step-by-step explanation:

12/3 = 4 and 24/6 = 4

So 4 = 4

The amount that the cell phone owner will pay for the overages is $14.91.

The overage is the difference between the actual usage in minutes and the estimated usage.

For instance, if the plan estimates that the phone usage per year would be 4,000 minutes, but the plan holder uses 4,010 minutes, the extra 10 minutes are regarded as overages.

The opposite of overages is underages.  If underages are part of the phone plan, the plan holder will be refunded accordingly.

Usually, overages attract a variable plan rate per minute.

Fixed charge per month = $35.98

Utilities tax APR = 6.5%

Overages = 40 minutes

Rate per overage minute = $0.35

The total charge for overage = $14 ($0.35 x 40)

Interest on the overages = $0.91 ($14 x 6.5%)

Total payment for the overages = $14.91 ($14 + $0.91)

Thus, for going over the plan by 40 minutes at $0.35 plus an APR of 6.5%, you will pay $14.91 for the overages.

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Solution to the questions are: (1) 3.95      

                                                  (2)19.92      

                                                  (3) 5.45

                                                  (4) 42.18

                                                  (5) 21.77  

                                                  (6) 57.84

What is Simplify?

Simplify in mathematics is a simple way of bringing down a problem, fraction or word expression into an easier from

1. ( 1.8 + 3.44 ) x 0.75

Simplify the equation using

=(5.24) x 0.75

=3.95

2. (8.29 - 0.32) ÷ 0.4

Rewrite the equation and simplify

=[tex]\frac{8.29 -0.32}{0.4}[/tex]

=[tex]\frac{7.97}{0.4}[/tex]

=19.92

3. 7.58 (1.5 x 0.24) ÷ 0.5

Rewrite the equation and simplify

=[tex]\frac{7.58(1.5 * 0.24) }{0.5}[/tex]

= [tex]\frac{7.58 (0.36)}{0.5}[/tex]

= [tex]\frac{2.728}{0.5}[/tex]

= 5.45

4. (16.45-5.05) x (2.46 + 1.24)

Simplify the equation

=(11.4)x (3.7)

=42.18

5. (7.1 x 2.3) ÷ (1.25 x 0.6)

Rewrite the equation and simplify

= [tex]\frac{7.1 * 2.3}{1.25 * 0.6}[/tex]

= [tex]\frac{16.33}{0.75}[/tex]

= 21.77

6. (4.19 + 6.8) ÷ (0.34-0.15)

Rewrite the equation and simplify

= [tex]\frac{4.19 + 6.8 }{0.34 - 0.15}[/tex]

= [tex]\frac{10.99}{0.19}[/tex]

= 57.84

Therefore, the solution to the equations are ;(1) 3.95      

                                                  (2)19.92      

                                                  (3) 5.45

                                                  (4) 42.18

                                                  (5) 21.77  

                                                  (6) 57.84

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The linear regression equation for the profit in x years after 1997 is of:

y = 20.5x + 142.

Using this equation, the estimate for the profit in 2006, is of: $326,500.

The linear regression equation is obtained inserting the points of the data, represented either in a table or in a scatter plot, into a linear regression calculator.

In the context of this problem, these points are given as follows:

(0, 131), (1, 168), (2, 202), (3, 193), (4, 221).

Inserting these points into a calculator, the equation is:

y = 20.5x + 142.

The estimate for the profit in 2006, that is, 9 years after 1997, is of:

y = 20.5(9) + 142 = 326.5 thousand dollars = $326,500.

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The area of the rectangular garden that has a 70-meter path surrounding it is: 1,176 m².

Area = length × width

Perimeter of a rectangle = length surrounding a rectangular shape = 2(length + width).

Give the following:

Perimeter of the rectangular garden = 70 meter

Length = l

Width = 2/3l

Therefore:

l + 2/3l = 70

5/3l = 70

5l = 3(70)

5l = 210

5l/5 = 210/5

l = 42

Length = l = 42

Width = 2/3l = 2/3(42) = 28

Area of rectangular garden = 42 × 28 = 1,176 m².

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