El mes pasado, la tienda de zapatos Sunny Steps ordenó 80 pares de zapatillas y 200 pares de sandalias. Este mes, planean pedir la misma proporción de zapatillas por sandalias, y solo planean pedir 20 pares de zapatillas. ¿Cuántos pares de sandalias pedirán en la zapatería Sunny Steps? pares de sandalias​

Answer:

The equation is y = 2x² + 7x + 5

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c

∵ The sum of the roots is \(\frac{-7}{2}\)

∵ The product of the roots is \(\frac{5}{2}\)

→ By using the rules above

∴ \(\frac{-b}{a}\) = \(\frac{-7}{2}\)

∴ \(\frac{c}{a}\) = \(\frac{5}{2}\)

→ Compare between them

∴ a = 2

∴ -b = -7 ⇒ divide both sides by -1

∴ b = 7

∴ c = 5

∵ The form of the quadratic function is y = ax² + bx + c

→ Substitute the values of a, b, and c in it

∴ y = 2x² + 7x + 5

∴ The equation is y = 2x² + 7x + 5

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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The first three terms of the given sequence is 7, 21 and 63. Therefore, option D is the correct answer.

Given that, the sequence can be generated using aₙ=3aₙ₋₁ and a₁=7.

Here, n is a whole number greater than 1.

So, a₂=3a₂₋₁

a₂=3a₁

a₂=3×7

a₂=21

a₃=3a₂

a₃=3×21

a₃=63

So, the first three terms are 7, 21, 63

Therefore, option D is the correct answer.

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If the initial velocity is 75 feet per second, it will take approximately 5.125 seconds for the ball to hit the ground.

The given formula h= -16t²+vt+s represents the height (h) of an object thrown vertically in the air at time (t), with initial velocity (v) and initial height (s). In this case, we are given that the initial height of the softball is 4 feet and the initial velocity is 75 feet per second.

We want to find out how long it will take for the ball to hit the ground, which means we want to find the time (t) when the height (h) is 0.

Substituting the given values into the formula, we get:

0 = -16t² + 75t + 4

This is a quadratic equation in standard form, which we can solve using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Where a=-16, b=75, and c=4. Substituting these values into the formula, we get:

t = (-75 ± √(75² - 4(-16)(4))) / 2(-16)

t = (-75 ± √(5625 + 256)) / (-32)

t = (-75 ± √(5881)) / (-32)

We can simplify the expression under the square root as follows:

√(5881) = √(49121) = 711 = 77

So we have:

t = (-75 ± 77) / (-32)

Simplifying further, we get two possible solutions:

t = 0.5 seconds or t = 5.125 seconds

Since the softball player hits the ball when it is 4 feet above the ground, we can disregard the solution t=0.5 seconds (which corresponds to when the ball is at its maximum height) and conclude that it will take approximately 5.125 seconds for the ball to hit the ground.

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Ok, so the answer is 6.5574385243

but idk what it would be rounded...

Hope this helps.....

:)

Answer:

70.59 feet

Step-by-step explanation:

There are a total of 14 parts when the wire is divided into a ratio of 1 to 13.

1. Divide 76 by 14

76 ÷ 14 = 5.43

2. Multiply the longer length of 13 parts

5.43 · 13 = 70.59

The longer length of the wire 70.59 feet

There are a total of 14 parts when the wire is divided into a ratio of 1 to 13.

1. Divide 76 by 14

76 ÷ 14 = 5.43

2. Multiply the longer length of 13 parts

5.43 · 13 = 70.59

In algebra, a decimal number can be defined as a range whose entire number part and the fractional element are separated by means of a decimal point. The dot in a decimal range is referred to as a decimal point. The digits following the decimal factor show a price smaller than one.

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Answer:

soln:

=105°+X=180

or x=180-105

:. x=75

Step-by-step explanation:

tell me if its wrong

A table of equivalent ratios for the miles and gallons of gas driven is as follows:

Miles        Gallons

39                 1

117                 3

312                8

The data points are plotted in the graph shown in the image attached below.

In Mathematics, a proportional relationship can be modeled or represented by the following mathematical expression:

x = ky

Where:

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

Next, we would calculate the constant of proportionality (k) as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 312/8

Constant of proportionality (k) = 39.

When x = 39, the value of y is given by:

y = x/k

y = 39/39

y = 1 gallons.

When y = 3, the value of x is given by:

x = ky

x = 39 × 3

x = 117 miles.

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Answer:

1/6 chance

Step-by-step explanation:

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Factor the following questions is.6 m(x+2 n+2),

What is factor?

In mathematics, an integer m that can be multiplied by another integer to create n is known as a divisor of an integer n, also known as a factor of n. One can also state that n is a multiple of m in this situation.

\(6 x m+12 m+12 m n\)

Factor out common term\($6 m$ : $6 m(x+2+2 n)$\)

\(\begin{aligned}& =6 m(x+2+2 n) \\& =6 m(x+2 n+2)\end{aligned}\)

\(13 r+r+9 x r\)

Add similar elements: \($13 r+r=14 r$\)

\(=14 r+9 x r\)

\(15 x y+45 y+3 m y\)

Factor out common term \(3y: $\quad 3 y(5 x+15+m)$\)

\(\begin{aligned}& =3 y(5 x+15+m) \\& =3 y(5 x+m+15)\end{aligned}\)

\($7 m n+13 m n+8 m n$\)

Add similar elements: \($7 m n+13 m n+8 m n=28 m n$\)\($=28 \mathrm{mn}$\)

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Answer: (6,0)

Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.

So we have 2x - 3(0) = 12.

Simplifying from here, we have 2x = 12.

Now divide both sides by 2 and we get x = 6.

So our x-intercept is 6.

This means that our line crosses the x-axis 6

units to the right of the origin or at the point (6,0).

Answer:

(6,0)

Step-by-step explanation:

The x intercept is where the graph crosses the x axis

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

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

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Answer:

x = 111°

Step-by-step explanation:

The interior sum of a triangle is 180°

x + 37 + 32 = 180

x + 69 = 180

x = 111

good luck, i hope this helps :)

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

x = 11-1 = 10

Step-by-step explanation:

pls mark as brainliest

Answer: the answer is 6

Step-by-step explanation:

\(\frac{(2x+8)}{3} \\\frac{[2(5)+8]}{3} \\\frac{(10+8)}{3}\\\frac{18}{3} \\6\)

you should put the 5 where x is visible since x=5 then start simplifying then you get your final answer as 6

Answer:

I believe it is 1/ 4^3

Step-by-step explanation:

When dealing with negative exponents you convert the number into a fraction. When so, the number 4 in the denominator then has the positive exponent of 3

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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The graph of the linear inequality is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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Answer:

Step-by-step explanation:

Hope it helps!!

Triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).

Given that, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1).

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

90° counterclockwise rotation: (x, y) becomes (-y, x)

A(2, 7) → A'(-7, 2)

B(6, 5) → B'(-5, 6)

C(4, 1) → C'(-1, 4)

Therefore, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).

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Answer:

you search on doutnut ok dear

The length of BD is 18.5 units.

In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.

Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.

In triangle ABD, we have the following sides:

AB = AD = 22 (given)

BD = ?

Now, let's consider triangle CBD. In this triangle, we have the following sides:

BC = DC = 15 (given)

BD = ?

Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.

The area of triangle ABD can be calculated as:

Area(ABD) = (1/2) * AB * BD

Similarly, the area of triangle CBD can be calculated as:

Area(CBD) = (1/2) * BC * BD

Since the areas of ABD and CBD are equal, we can equate their expressions:

(1/2) * AB * BD = (1/2) * BC * BD

We can cancel out the common factor (1/2) and solve for BD:

AB * BD = BC * BD

Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:

AB = BC

In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.

BD is equal to half of the hypotenuse AC:

BD = (1/2) * AC

Substituting the given values, we have:

BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5

Therefore, the length of BD is 18.5 units.

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Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

Answer:

we use the terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect. in hypothesis testing

Step-by-step explanation:

The conclusion made by the researcher after conducting a hypothesis test ( i.e. hypothesis is correct ) is not the right decision because in hypothesis testing we either reject the Null hypothesis or we fail to reject the Null hypothesis.  

These conclusions can be made when;

P-value < ∝  ( reject null hypothesis ) and P-value > ∝ ( fail to reject null hypothesis )

and We do not use the term  the hypothesis is correct But we use these terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect.

Answer:b

Step-by-step explanation:b

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distribute the 2 into the parenthesis:

4x-2y

Answer:

Step-by-step explanation:

What is the result of 2 (2x - y) ?​

2 * (2x - y) =

4x - 2y