. Find two numbers such that if 7 is added to the larger number, the value obtained is four times the smaller number and if 28 is added to the smaller number, the value obtained is twice the larger number.

The value of t is 16 where 14 roses are in a flowerbed.

A ratio is a relationship between two quantities or values that shows how many times one value is contained within the other. It is a way of comparing two or more numbers or measurements.

Let's first write an equation for the initial number of daffodils and roses in terms of t:

Number of daffodils = 2t + 1

Number of roses = 14

After adding 5 daffodils, the total number of daffodils becomes 2t + 1 + 5 = 2t + 6.

Now we can set up the ratio of daffodils to roses and solve for t:

(2t + 6)/14 = 11/7

Multiplying both sides by 147 gives:

2t + 6 = 222

Simplifying and solving for t gives:

2t = 38 - 6

2t = 32

t = 16

Therefore, the value of t is 16.

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Answer:

14

Step-by-step explanation:

Answer:

24 ft

Step-by-step explanation:

16 cm to 32 ft

multiply by two , and change units to ft

12 cm to ft scale

multiply by 2 and change units to ft

You get

24 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Here's the solution,

the ratio of length and breadth of the house is :

=》16 : 12

=》4 : 3

so, let's take the actual breadth be ' x '

we know,

=》32 : x = 4 : 3

because it's the ratio of length and breadth of the house

so,

\( \dfrac{32}{x} = \dfrac{4}{3} \)

=》

\(x = 32 \times \dfrac{3}{4} \)

=》

\(x = 24\)

hence, the actual breadth of the house is 24 feet

Answer: The odds in favor of a horse winning a race are given as 8:9, which means that the probability of the horse winning is 8/(8+9) = 8/17. Therefore, the probability of the horse winning the race is 8/17.

Step-by-step explanation:

The probability of the horse winning the race is 8/17.

The odds in favor of a horse winning a race is 8:9. To find: The probability of the horse winning the race. The odds are defined as: The odds in favor of an event = Number of ways an event can occur : Number of ways the event cannot occur.

Here, the odds in favor of a horse winning a race = 8 : 9. That means, the horse can win in 8 ways and lose in 9 ways. Therefore, the probability of the horse winning the race can be calculated as follows:

Probability of horse winning the race = Number of ways the horse can win / Total number of possible outcomes
= 8 / (8 + 9) [As total outcomes = winning outcomes + losing outcomes]
= 8 / 17
Therefore, the probability of the horse winning the race is 8/17.

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Using division of fractions, the equivalent expression is:

B. \(\frac{4}{d - 6}\).

To divide two fractions, we multiply the first by the inverse of the second.

In this problem, we have that:

Applying the multiplication, we have that:

\(\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}\).

Hence option B is correct.

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Answer: 33

Step-by-step explanation:

Answer:

Step-by-step explanation:

33

Answer:

see below

Step-by-step explanation:

The first step is to combine like terms

4x -12 + 2x

6x -12

Then determine the number of terms

2 terms so it is a binomial

Answer:

Im not sure if I’m correct but I think she is correct because a trino Mila doesn’t always have to have a exponent but three terms

Step-by-step explanation:

not positive

To simplify the trigonometric expression secθsinθ/tanθ, we can start by writing each trigonometric function in terms of sine and cosine.

Recall that secθ is equal to 1/cosθ and tanθ is equal to sinθ/cosθ.

So, the expression becomes (1/cosθ)(sinθ/(sinθ/cosθ)).

Next, we can simplify the expression by multiplying the numerators and denominators of the fraction:

(1/cosθ)(sinθ*sinθ)/(sinθ*cosθ)).

Simplifying further, we get (sin²θ)/(cosθ*sinθ*cosθ).

Since sinθ/cosθ is equal to tanθ, the expression becomes (sin²θ)/(cos²θ).

Using the trigonometric identity sin²θ + cos²θ = 1, we can rewrite the expression as 1 - cos²θ.

The simplified expression is 1 - cos²θ.

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Answer:

He ate 68 peanuts on his first day

Step-by-step explanation:

To find the answer, you can just multiply 4 times 8 which would give the total amounts of peanuts Chris ate in 4 days. And subtract 100-32 which would equal 68.

Answer:

$2.24 per Gallon

Step-by-step explanation:

36.96 divided by 16.5 is 2.24, then to check that multiple 2.24 by 16.5 and you get the total cost of 36.96. Hope this helps.

Answer:

{x,y} = {5,8}

Step-by-step explanation:

 [1]           7x-3y+5=16

 [2]           4y=3x+17

  [1]    7x - 3y = 11

  [2]    -3x + 4y = 17

// Solve equation [2] for the variable  y  

 [2]    4y = 3x + 17

 [2]    y = 3x/4 + 17/4

// Plug this in for variable  y  in equation [1]

  [1]    7x - 3•(3x/4+17/4) = 11

  [1]    19x/4 = 95/4

  [1]    19x = 95

// Solve equation [1] for the variable  x  

  [1]    19x = 95  

  [1]    x = 5  

// By now we know this much :

   x = 5

   y = 3x/4+17/4

// Use the  x  value to solve for  y  

   y = (3/4)(5)+17/4 = 8

Answer:

The ladder touches the wall at 24 feet from the ground.

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

\(26^2=10^2+H^2\)

Calculating:

\(676=100+H^2\)

Solving:

\(H^2=676-100\)

\(H^2=576\)

\(H=\sqrt{576}\)

H=24 feet

The ladder touches the wall at 24 feet from the ground.

The integral ∫(4x - 2)dx from [-2, 2] is equal to the area between the x-axis and the function 4x - 2 over the interval [-2, 2], which is 32.

The integrand is 4x - 2.

To evaluate the integral geometrically in terms of area, we can interpret the integral as the area between the x-axis and the function 4x - 2 over the interval [-2, 2]. We can break this area into two parts: the area under the line y = 4x and the area under the line y = 4x - 2.

The area under the line y = 4x is given by the integral ∫4x dx from -2 to 2, which is equal to [2x^2] from -2 to 2, or 2(2^2) - 2(-2^2) = 16.

The area under the line y = 4x - 2 is given by the integral ∫(4x - 2) dx from -2 to 2, which is equal to [2x^2 - 2x] from -2 to 2, or 2(2^2) - 2(2) - [2(-2^2) - 2(-2)] = 8 - (-8) = 16.

Therefore, the total area between the x-axis and the function 4x - 2 over the interval [-2, 2] is 16 + 16 = 32.

So, the integral ∫(4x - 2)dx from [-2, 2] is equal to the area between the x-axis and the function 4x - 2 over the interval [-2, 2], which is 32.

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Answer:

i cant understand bief it plz

Step-by-step explanation:

The weight of a glider with a mass of 5.7 grams is 0.0559 N. (Option 1)

Weight can be calculated by multiplying the mass of the object with acceleration due to gravity. The standard value of acceleration due to gravity is 9.81 m/s². However, it is important to ensure that the units of mass and acceleration due to gravity are compatible. In this case, the mass is given in grams, so it needs to be converted to kilograms first (1 kg = 1000 g).

Therefore, mass of glider = 5.7 g = 0.0057 kg

Weight of glider = mass x acceleration due to gravity

= 0.0057 kg x 9.81 m/²

= 0.0559 N

Therefore, the weight of the glider is 0.0559 N.

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Answer:

80% lemme get brainlest plzzzzzzzzz

Step-by-step explanation:

it's answer is 80 percent

The instantaneous acceleration at any time t is given by 10t. The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point.

To use the limit definition of a derivative to calculate instantaneous acceleration, we need to find the derivative of the velocity function with respect to time. The derivative of velocity gives us acceleration.

The limit definition of a derivative is given by:

f'(x) = lim (h→0) [f(x+h) - f(x)] / h

To calculate instantaneous acceleration, we substitute the velocity function, v(t), into the limit definition. Let's say v(t) = 5t^2.

Using the limit definition, we have:

a(t) = lim (h→0) [v(t+h) - v(t)] / h

Substituting v(t) = 5t^2, we get:

a(t) = lim (h→0) [5(t+h)^2 - 5t^2] / h

Expanding and simplifying:

a(t) = lim (h→0) [10th + 5h^2] / h

Now, we can cancel out the h term:

a(t) = lim (h→0) 10t + 5h

Taking the limit as h approaches 0, we get:

a(t) = 10t

Therefore, the instantaneous acceleration at any time t is given by 10t.

The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point. By taking the limit as the change in input approaches zero, we are able to approximate the exact rate of change at that point. This concept is fundamental to calculus and is used in various applications such as physics, engineering, and economics.

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Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

⇒ \(\frac{8}{3}\)

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

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Answer:

Below

Step-by-step explanation:

The shaded area is the area GREATER than ('>') the graph (it is ABOVE the graph)

the two zeroes (where it crosses the x -axis) of the graph are - 6 and 18

so the parabola   is  y = (x+6)(x-18)

  but we want the shaded region so it becomes   y> (x+6)(x-18)

      It is '>' because the shaded area DOES NOT INCLUDE the graph line (that is why it is a dashed line)

Answer:

p + 2 = 10

\(\frac{p}{8} =1\)

4p = 32

Step-by-step explanation:

p - 3 = 5

p - 3 + 3 = 5 + 3

p = 8

3p = 30

3p ÷ 3 = 30 ÷ 3

p = 10

10 ≠ 8

p + 2 = 10

p + 2 - 2 = 10 - 2

p = 8

8 = 8

\(\frac{p}{8} =1\)

\(8(\frac{p}{8}) =8(1)\)

8 = 8

p = 8

p + 7 = 16

p + 7 - 7 = 16 - 7

p = 9

9 ≠ 8

4p = 32

4p ÷ 4 = 32 ÷ 4

p = 8

8 = 8

The correct answer is (Option B): Observations with values of 200 are included in the class frequency.

When a class interval is expressed as "100 up to 200," it means that the class includes all observations with values greater than or equal to 100 and less than or equal to 200. So observations with a value of 200 would be included in the class frequency.

A. Observations with values of 100 are excluded from the class frequency - This is incorrect, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 100 would be included in the class frequency.

B. Observations with values of 200 are included in the class frequency - This is correct, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 200 would be included in the class frequency.

C. Observations with values of 200 are excluded from the class frequency - This is incorrect, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 200 would be included in the class frequency.

D. The class interval is 99 - This is incorrect, as the class interval is specified as 100 up to 200, not 99. The class interval is the range of values that are grouped together for the purpose of counting the frequency of observations.

Therefore, The correct answer is (Option B): Observations with values of 200 are included in the class frequency.

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Answer:

A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

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Answer:

No,the number isn't a perfect square

Step-by-step explanation:

Taking the prime factor of the number, each factor can be raised to the power of 2 except 3

The subtraction property of equality is used for the justification of step 2 in the solution.

The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality.

Therefore, Justify the property used for step 2 in the equality.

1 / 2 r + 1 / 2  = - 2 / 7 r + 6 / 7  - 5

Step 1 : 1 / 2 r + 1 / 2  = - 2 / 7 r - 29 / 7

Step 2: 1 / 2 r = - 2 / 7 r - 65 / 14

We had to subtract 1 / 2 from both sides of the equation to arrive at step 2. Therefore, the subtraction property of equality is the justification for step 2 in the solution.

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Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.

If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.

In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.

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The number of failures of a testing instrument due to contamination particles on a product follows a Poisson distribution with an average rate of 0.02 failures per hour.

In a Poisson distribution, the probability of an event occurring a certain number of times within a given interval is determined by the average rate of occurrence. In this case, the average rate is 0.02 failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, we can use the Poisson probability formula. The parameter λ (lambda) represents the average rate, which is equal to 0.02 failures per hour multiplied by 8 hours. The probability of no failures is calculated by plugging λ and the number of events (0) into the formula. The result gives the probability that the instrument does not fail in an 8-hour shift.

(b) To calculate the probability of at least one failure in a 24-hour day, we can use the complement rule. The complement of "at least one failure" is "no failures." We can calculate the probability of no failures using the same approach as in part (a). Then, subtracting this probability from 1 gives us the probability of at least one failure.

By applying the appropriate formulas and rounding the results to four decimal places, we can determine the probabilities requested in the problem.

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By evaluating the function graphically ,  f (4) = -4

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

The x-axis is indicated with the input values. The vertical displacement from the x-axis is the appropriate output value for any input value. For instance, the output is identical to f when x = a. (a).

According to the Given information

f( x ) = y

where x is an input and y is an output

We need to find the value for f(4)

f( 4 ) = y

For x = 4 we have a corresponding value at y axis as -4 in fourth quadrant

f (4) = -4

By evaluating the function graphically ,  f (4) = -4

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