Could somebody please answer this ASAP
Im going to mark you brainiest

Answer:

It is impossible to have two consecutive integers add up to an even number.

Step-by-step explanation:

x + (x + 1) = 132

2x + 1 = 132

2x = 132

x = 65.5

We can't get two consecutive integers to add up to an even number, as two consecutive integers will always be an odd number and an even number will always add up to an odd number, which 132 is not.

You can of course get two numbers that are 1 apart, and those would be 65.5 and 66.5, but those are not integers.

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Given: Total girls = 24

Total boys = 20

If each group must be identical, then the maximum number of groups that can be made = GCD(24,20)   [GCD= Greatest common divisor]

Since 24 = 2 x 2 x 2 x 3

20 = 2 x 2 x 5

GCD(24,20)= 2 x 2 = 4

Hence, the maximum number of groups that can be made = 4

The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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Answer: 16.6

Step-by-step explanation:

Answer:

290

Step-by-step explanation:

145 withdrawal free + 145 in cash = 290.

This inequality states that the sum of the 30 people from the three boats and the 4 people per additional boat, represented by 4b, should be less than or equal to the maximum capacity of 50 people.

Let's break down the information given:

The amusement center boat ride can accommodate at most 50 people at a time.

There are currently 3 boats that each seat 10 people on the ride.

There are additional "b" boats, and each of them seats 4 people.

To represent the situation, we need to consider the total number of people that can be accommodated by the boats. The three boats that seat 10 people each contribute 3 * 10 = 30 people to the total capacity. The additional "b" boats, each seating 4 people, will contribute 4b people.

Therefore, the inequality representing the situation can be written as:

30 + 4b ≤ 50

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The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A 15-meter by 23-meter garden is divided into two sections. In this rectangle,

Here, a vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. The length of the left side of the square will be 15 long. Thus, the lenght of its diagonal is,

\(d_1=15\sqrt{2}\\d_1=21.213\rm\; m\)

The length of the sidewalk in smaller rectangle in the right side of figure is,

\(d_2=\sqrt{15^2+8^2}\\d_2=17\rm\; m\)

Sum of the lengths of the two sidewalks using the pythagoras theorem is,

\(S=21.2+17\\S=38.2\rm\;m\)

Thus, approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

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Answer:

D 38.2

Step-by-step explanation:

E2020

The area of the sign is equal to 598.938 square feet.

The statement of the problem shows a sign, that is the result of combining a semicircle and a triangle. The area of the sign must be found in accordance with the following formula:

A = 0.5 · 2 · r · h + 0.5π · r²

Where:

If we know that r = 5 ft and h = 18 ft, then the area of the sign is now computed:

A = 0.5 · 2 · (5 ft) · (18 ft) + 0.5π · (18 ft)²

A = 598.938 ft²

The sign has an area of 598.938 square feet.

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Answer:

3/5

Step-by-step explanation:

3y = ax + 7

3(4) = a(3) + 7

12 = 3a + 7

5 = 3a

3/5 = a

Best of Luck!

x = 3

y = 4

3y = ax + 7

By putting the values of x and y, we get

3(4) = a(3) + 7

or, 12 = 3a + 7

or, 12 - 7 = 3a

or, 5/3 = a

a = 5/3

12 = 5/3(3) + 7

or, 12 = 12

LHS = RHS

Hence, Verified.

Answer:

EF ≈ 23.3

Step-by-step explanation:

given 2 secants drawn from an external point to the circle.

then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant , that is

GF × GE = GH × GI

8 × GE = 10 × (10 + 15) = 10 × 25 = 250 ( divide both sides by 8 )

GE = 31.25

then

EF = GE - GF = 31.25 - 8 = 23.25 ≈ 23.3 ( to the nearest tenth )

You can get 7 orders of fries for $10 and still have some money left over. If the price per order stays constant, this function can be used to determine how many orders of fries can be purchased with any given sum of money.

To write a function that calculates the number of orders of fries that can be bought with a given amount of money, we need to divide the amount by the cost per order of fries. We can express this function in mathematical notation as:

n(x) = floor(x / 1.29)

where n(x) is the number of orders of fries that can be bought with x dollars, and floor(x / 1.29) is the result of dividing x by the cost per order of fries and rounding down to the nearest integer.

To use this function to find the number of orders of fries that can be bought with $10, we simply need to substitute 10 for x in the formula:

n(10) = floor(10 / 1.29) = floor(7.75193798) = 7

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The statements ∠F ≅∠2 , and ∠4 + ∠3 ≅ ∠2 + ∠1  cannot be proven.

The total angle of a strait line is equal to 180 degrees.

Given,

          ∠3 ≅∠4

Also,  ∠1 + ∠3 = 180°               (first equation)

And,  ∠2 + ∠4 = 180°               (second equation)

Subtracting  second from first equation:

         (∠1 + ∠3) - (∠2 + ∠4) = 180° - 180°

          (∠1 + ∠3) - (∠2 + ∠4) = 0

Since, ∠3 ≅∠4, therefore ∠1 ≅∠2 and ∠4 + ∠1 ≅ ∠2 + ∠3 .

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Answer:

pleasee reply me ...

you looking very gorgeous...

also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

Answer:

B. 25%

Step-by-step explanation:

You turn the 25% into a decimal so it would be .25 then you multiply by 60. After that you subtract the answer you have by 60.

Answer:

60 degree

Step-by-step explanation:

E,A,D is a straight line .

Straight line=180 degree

100+20=120 -180=60

therefore X=60

Answer:  \(x \le 9\)

x is less than or equal to 9

on a keyboard you would write x <= 9

===========================================

Explanation:

We have a closed circle at x = 9. This means we include this endpoint as part of the shaded region. We will have "or equal to" as part of the inequality sign.

We also have "less than" as part of the inequality sign since we shade to the left. Values in the shaded region (eg: 2, 3, and 4) are either less than 9 or equal to 9.

So that's why the graph represents \(x \le 9\)

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

Extra info:

If you want to write that in interval notation, then you would say \((-\infty, 9]\)

The curved parenthesis says to exclude the endpoint. We can't ever reach infinity so we cannot possibly include it as a number.

The square bracket says to include the endpoint.  

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Answer:

1.SAS, ASA,

2. Not congruent

3.C

4. If you could screenshot the whole page I can give tell you what it is.

Solution:

Given that;

To find the amount in 5 years, we will apply the compound interest formula below

Substitute the values of the variables into the formula above

Hence, the answer is B

The triangle is a scalene triangle.

The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:

   x + x + 10 + 2x - 6 = 180

This simplifies to,

   4x + 4 = 180,

   or 4x = 176, or x = 44

Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.

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1 hour = 60 minutes.

60 minutes x 60% = 36 minutes completed.

60 minutes -36 minutes = 24 minutes left

answer: 24 minutes

Answer:

24 min

Step-by-step explanation:

If shecompleted 60% she stil has 40 % of the hour-long (60 minute) workout to go

.40 ( 60 min) = 24 min

Answer:

C

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

5x + 19 + 8x = 180

23x + 19 = 180 ( subtract 19 from both sides )

23x = 161 ( divide both sides by 23 )

x = 7

Then

∠ OML = 15x + 19 = 15(7) + 19 = 105 + 19 = 124° → C

Answer:

hope this helps

Step-by-step explanation:

Answer:

you have to graph it urself, but what you have to do is but the starting point at -3, and go down 3 on the y-axis, and up 2 on the x-axis. you can also go up 3 on the x-axis, and 2 down on the y-axis. i hope this explained it and helped you :)

Step-by-step explanation:

Answer:

7/10 pi (radians)

Step-by-step explanation:

The formula for sector area is (angle * r^2)/2

140pi = angle*r^2/2

multiply both sides by 2

280pi = angle * r^2

r = 20 cm (substitute)

280pi = angle * (20)^2

280pi = angle * 400

Divide both sides by 400

7/10 pi = angle

Answer:

24/35

Step-by-step explanation:

Answer:

Taking LHS:sin 30⁰. tan60⁰

= 1/2 . √3

=√3/2

Now, Taking RHS:Cos 30⁰

=√3/2

LHS =RHS,

Hence proved.

Step-by-step explanation:

Answer:

C

Step-by-step explanat:

Hope thats right

Answer: -4 over 9 hope this works

Step-by-step explanation: