Solve this system by substitution (Pls answer step by step so I can understand thank you!)

Answer:

Step-by-step explanation:

I would say that nobody gets the last one but every one else gets 2 apples and 1 orange.

Answer: 54.55%

Step-by-step explanation:

Answer:

54.5%

Step-by-step explanation:

Fraction to percent: numerator divided by denominator times 100 and add the percent sign.

There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The sum of the digits should be divisible by 9

⇒ 474 : (4+7+4=15, and again, 1+5=6)

This number is not divisible by 9

⇒ 127  : (1+2+7=10, and again, 1+0=1)

This number is also not divisible by 9

⇒ 907  : (9+0+7=16, and again, 1+6=7)

This number is also not divisible by 9

The sum of the digits should be divisible by 3

⇒ 474 : (4+7+4=15, and 15÷3 = 5)

This number is divisible by 3

⇒ 127  : (1+2+7=10, and 10÷3 = 3.333)

This number is not divisible by 3

⇒ 907  : (9+0+7=16, and  16÷3 = 5.333)

This number is not divisible by 3

There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

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The question seems to be incomplete the correct question would be

(a) Which numbers are divisible by 9?

(A). 474

(B). 127

(C). 907

(D). None of these

(b) Which numbers are divisible by 3?

(A). 474

(B). 127

(C). 907

(D). None of these

The point (x,y,z) =  (₋1,3,₋1) is the solution of the equations.

Given the system of equations are:

2x ₊ y ₊ 3z = ₋2 .....eq(1)

x ₋ y ₋ z = ₋3 ...... eq(2)

3x ₋ 2y ₊ 3z = ₋ 12 .... eq(3)

Solving equation 1 and 2.

2x ₊ y ₊ 3z = ₋2

x ₋ y ₋ z = ₋3

Multiply eq(1) by 1 and eq(2) by 2, we get:

2x ₊ y ₊ 3z = ₋2

2x ₋ 2y ₋ 2z = ₋6

⁻     ⁺     ⁺         ⁺

hence sign changes, then we get:

3y ₊ 5z = 4 ... eq(a)

now solving equation 2 and 3.

x ₋ y ₋ z = ₋3

3x ₋ 2y ₊ 3z = ₋ 12

Multiply eq (2) by 3 and eq (3) by 1.

₋3x ₊ 3y ₊ 3z =  9

3x ₋ 2y ₊ 3z = ₋ 12

sign changes, and we get:

y ₊ 6z = ₋3 ..... eq(b)

y = ₋3 ₋ 6z

substitute y value in eq(a)

3(₋3₋6z) ₊ 5z = 4

₋9 ₋ 18z ₊ 5z = 4

₋13z = 13

z = ₋1

substitute z value in eq(b)

y ₊ 6(₋1) = ₋3

y ₋ 6 = ₋3

y = 3

substitute y and z values in eq (2)

x ₋ (3) ₋ (₋1) = ₋3

x ₋ 3 ₊ 1 = ₋3

x ₋ 2 = ₋3

x = ₋3 ₊ 2

x = ₋1

Therefore the solution to the system of equations is: (₋1,3,₋1)

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your question is incomplete.Please find the missing content here:

2x ₊ y ₊ 3z = ₋2

x ₋ y ₋ z = ₋3

3x ₋ 2y ₊ 3z = ₋ 12

Find the unique solution to this system of equations. Give your answer as a point. (x, y, z)

Answer:

[tex]y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]\pi=7x-2y[/tex]

To isolate y, add 2y to both sides:

[tex]\implies\pi+2y=7x-2y+2y[/tex]

[tex]\implies\pi+2y=7x[/tex]

Subtract π from both sides:

[tex]\implies\pi+2y - \pi=7x- \pi[/tex]

[tex]\implies 2y=7x- \pi[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

[tex]\implies y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

This can also be written as a rational function:

[tex]\implies y=\dfrac{7x- \pi}{2}[/tex]

Answer:

y = (-π + 7x)/2

Step-by-step explanation:

Now we have to,

→ find the required value of y.

The equation given is,

→ π = 7x - 2y

Then the required value of y will be,

→ π = 7x - 2y

→ -2y = π - 7x

→ y = (π - 7x)/(-2)

→ [ y = (-π + 7x)/2 ]

Hence, the equation is (-π + 7x)/2.

Answer:

Can't help

Step-by-step explanation:

Answer:

4:5

Step-by-step explanation:

Boys: 20  Girls: 25

        ÷5             ÷5

       ------          ----------

          4                 5

For every 4 boys, there are 5 girls

I hope this helps!

The water in gallons to entirely fill the swimming pool is 51705.344 gallons.

For the given question;

The volume of the pool = 256 yd³.

Convert the volume in yd³ in gallons.

1 yd³ = 201.976 gallons.

Thus, for the total volume of 256 yd³ multiply both side with 256.

1×256 yd³ = 201.976×256 gallons.

256  yd³ = 51705.344  gallons.

Therefore, the water in gallons requires to completely fill the swimming pool is 51705.344 gallons.

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Answer:

- 7x ² -x +10

Step-by-step explanation:

⇒Given

10-x- 7x ²

⇒We have a polynomial of second degree that has the standard from ax²+bx+c

⇒Rearrange the terms of the polynomial to match the standard form

- 7x ² -x +10

Answer:

a stays the same but cb cahanges

Step-by-step explanation:

Answer:

variable

Step-by-step explanation:

Like terms are the terms that contain same variables raised to the same power, the coefficients need not be same. For example, 7x and 2x are like terms because both terms contain same variable "x".

Answer:

[tex]\dfrac{\text{d}y}{\text{d}x} =15x^4+45x^8[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $ax^n$}\\\\If $y=ax^n$, then $\dfrac{\text{d}y}{\text{d}x}=nax^{n-1}$\\\end{minipage}}[/tex]

[tex]\textsf{Differentiate $y$ with respect to $x$}:[/tex]

[tex]\begin{aligned}y & = 3x^5+5x^9\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = 5 \cdot 3x^{5-1}+9 \cdot 5x^{9-1}\\\\& = 15x^4+45x^8\end{aligned}[/tex]

[tex]\textsf{Therefore, the derivative of $y$ with respect to $x$ is: $\dfrac{\textrm{d}y}{\textrm{d}x} =15x^4+45x^8$}[/tex]

The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

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The next three terms in the geometric sequence will be 24, 48 and 96.

We are given a geometric sequence:

3, 6, 12 …

We need to find the next 3 terms of the sequence.

We can see that:

a = initial term of the sequence

a = 3

r = common ratio between the consecutive terms.

r = 6 / 3 = 2

Now, nth term will be represented by:

aₙ = a rⁿ⁻¹

Substituting the values of a and r in the formula, we get that:

aₙ = 3 (2)ⁿ⁻¹

Now, the 4th term will be ( put n = 4)

a₄ = (3) (2)⁴⁻¹

a₄ = (3) (2)³

a₄ = (3) × (8)

a₄ = 24

The 5th term will be: (put n = 5)

a₅ = (3) (2)⁵⁻¹

a₅ = (3) (2)⁴

a₅ = (3) × (16)

a₅ = 48

6th term will be: (put n = 6)

a₆ = (3) (2)⁶⁻¹

a₆ = (3) (2)⁵

a₆ = (3) × (32)

a₆ = 96

Therefore, the next three terms in the geometric sequence will be 24, 48 and 96.

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Your question was incomplete. Please refer the content below:

The first three terms of a geometric sequence are 3, 6, 12. What are the next three terms?

Answer:

9

Step-by-step explanation:

[tex]-3 \leq -3 <4 \implies f(-3)=2(-3)^2-9=9[/tex]

Answer: x=26 degrees

Step-by-step explanation:

90+x+64=180 ==> A right angle, x, and 64 lie on a straight line. Straight lines add up to 180 degrees and are called straight angles. Right angles are denoted with a tiny square inside them and measure 90 degrees.

90-90+x+64=180-90

x+64=180-90

x+64=90

x+64-64=90-64

x=90-64

x=26 degrees

The solution of the equation will be -7.46 and -0.54.

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

(4/2)x + 1 + (1/4)x² - 1 = 1

Simplify the equation, then we have

(4/2)x + 1 + (1/4)x² - 1 = 1

2x + 1 + (1/4)x² = 0

x² + 8x + 4 = 0

Then the solution of the equation is given as,

[tex]\rm x = \dfrac{-8 \pm \sqrt{8^2 - 4 \times 1\times 4 }}{2 \times 1}\\[/tex]

Simplify the equation, then we have

x = [-8 ± √48] / 2

x = [-8 ± 4√3] / 2

x = -4 ± 2√3

x = - 4 ± 3.46

x = -7.46, -0.54

The solution of the equation will be -7.46 and -0.54.

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The length of this cable to the nearest tenth of a block will be 6.3 blocks.

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

A map of a small town identifies the town square as the origin (0,0). Each block along a street is represented by one unit along the x- or y-axis. The ice cream shop is at (5. 4) and the grocery store is at (3.-2).

To speed up deliveries, the grocer plans to set up an overhead delivery wire that runs directly between the grocery store and the ice cream parlor.

The length of this cable to the nearest tenth of a block will be

[tex]D² = (5 - 3)² + (4 + 2)²D² = 2² + 6²D² = 4 + 36D² = 40[/tex][tex]D^2 = (5 - 3)^2 + (4 + 2)^2\\D^2 = 2^2 + 6^2\\D^2 = 4 + 36\\D^2 = 40[/tex]

D = 6.3 blocks

Therefore, The length of this cable to the nearest tenth of a block will be 6.3 blocks.

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The length of this cable to the nearest tenth of a block will be 6.3 blocks.

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

A map of a small town identifies the town square as the origin (0,0). Each block along a street is represented by one unit along the x- or y-axis. The ice cream shop is at (5. 4) and the grocery store is at (3.-2).

To speed up deliveries, the grocer plans to set up an overhead delivery wire that runs directly between the grocery store and the ice cream parlor.

The length of this cable to the nearest tenth of a block will be

[tex]D^2 = (5 - 3)^2+(4+2)^2\\D^2 = 2^2 +6^2\\D^2 = 4 +36\\D^2 = 40[/tex]

D = 6.3 blocks

Therefore, The length of this cable to the nearest tenth of a block will be 6.3 blocks.

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The answer choice which is dissimilar to the other three as given in the task content is Choice 3; AD6.

It follows from the task content that the answer choice which is dissimilar to the rest of the answer choices be identified.

From observation, the letters of the alphabet are assigned numbers and the sums are determined such as follows;

The answer choice which is dissimilar to the other three as given in the task content is Choice 3; AD6.

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0.48

Step-by-step explanation:

To find the gradient when given points, label one of the x points as X2 and the other x1 ( it could be anyone of them: 3 could be X2 and 6 x1 or vise versa) and do the same with the y points, doesn't matter which one is y2 or y1.

But bare in mind, if you used the first coordinate x as x1 you must used the y coordinate as the y1. you must use the same order. so if you used X2 for second coordinate use y2 for the y point of the second coordinate.

Now set up the formula: x2-x1/y2 -y1

=( 3-6)/((-1)-5.2/

=0.48

A real-world situation where you can apply the unit rate is finding the cost of a single can of soda from a pack of soda.

The unit rate refers to the price of a single item out of a number or group of items. It is found by dividing the total price of the group of items by the number of items in the group.

In a real-world scenario, you might see a pack of soda priced at $5.20 and you need to know the price of a single can of soda. You can find this by the formula:

= Price of soda pack / Number of soda cans

= 5.20 / 6

= $0.87

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Answer:

1.29 take the cost and divided by each water bottle and that’ll give you how much each water bottle cost in a pack

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation: I hope this helps. the blue, and the purple are in the same line with the green.

Answer:

Answer:

  $433

Step-by-step explanation:

You want the average cost per student for an enrollment of 350 students as interpolated from a table of enrollments and costs.

There are a number of ways the cost table might be interpolated. The one used here is to use quadratic regression to write a formula for the cost as a function of enrollment. Then the function value for 350 students is found. This is all accomplished using a graphing calculator, as shown in the attachment. The interpolated value for an enrollment of 350 students is $433 per student.

Another method of interpolation could use linear interpolation between the two nearest points. Our enrollment of interest, 350, is halfway between 250 and 450, so the cost per student could be estimated to be halfway between 473 and 411:

  cost per student = (473 +411)/2 = 442 . . . dollars per student

We know this estimate is a bit high, because the cost function is concave upward. A straight line between two points on the curve will lie above the curve.

Other methods of interpolation will give other values. A cubic interpolating function gives a value of $428 per student.

Answer:

The answer is C.

Step-by-step explanation:

We know that the first term is the diamond and the circle so its repeating so that gives you your final answer of C.

90 in²

Area is the amount of space a 2-D shape occupies.

Area Formula

As stated above, the area of a triangle is [tex]\frac{1}{2}bh[/tex]. When solving for area, it doesn't actually matter which side is the base. You just have to remember to take the height perpendicular to the base you use. Since this is a right triangle, the height is the same as one of the legs. For the purpose of this question, I will use 12 as the base and 15 as the height. Because the 12 and 15 sides are perpendicular to each other, we can plug them into the formula for b and h.

Solving For A

Now we can just plug 12 and 15 in and solve.

The area of the triangle is 90 in².

1. Yes. This is the equation of a lihe.

2. Yes. See 1.

3. No. This is the equation of a circle, which fails the vertical line test.

The value of x and y that allows these two triangles to be congruent is

(-12, 11)

The congruence of two or more triangles is determined by the measurements of their sides and angles. The three sides of a triangle determine its size, and the three angles determine its shape.

Two triangles are said to be congruent if the pairs of their corresponding sides and angles are equal. They are the same size and shape. Triangles have numerous congruence conditions.

Here we will use translation to find out units of displacements

If the triangle is congruent then vertices are of same shape too which means coordinate of first triangle will give us coordinate of second triangle

The coordinates of 1st vertices of traingle1 = (5, 4), x = 5, y = 4

The coordinates of 1st vertices of traingle2 = (1, 6), x = 1, y = 6

By subtracting,

translation x = 5 - 1 = 4

translation y = 4 - 6 = -2

Thus the vertices of other triangles are translated 4 units left and 2 units up. Same goes for second vertices

-4 - 4 = 8

6 + 2 = 8

And the same will go for the last vertices (-8, 9) that is

-8 - 4 = -12

9 + 2 = 11

The value of x and y that allow these two triangles to be congruent is (-12, 11)

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Answer:

different from players, yes