just 3 math problem show step by step

1 5x+y=-12
5x-7y=4


2. -5x+4y=-3
-9x-y=-30


3. -9x+6y=27
-x+3y=10
please help me out

Answer:

The equivalent expression can be given as:

⇒  [tex]2t-3q[/tex]

Step-by-step explanation:

Given expression:

[tex]-3t+4q+5t-7q[/tex]

To write an equivalent expression:

Solution:

In order to write an equivalent expression, we will combine the like terms. By like terms, we mean the terms with the same variable constant.

For example : [tex]5x[/tex] and [tex]-3x[/tex]  are like terms.

We have:

[tex]-3t+4q+5t-7q[/tex]

Combining like terms :

⇒ [tex]-3t+5t+4q-7q[/tex]

⇒  [tex]2t-3q[/tex]

Thus, the equivalent expression can be given as:

⇒  [tex]2t-3q[/tex]

Answer:

12

Step-by-step explanation:

18/3=6

If one piece is twice as large as the other, than 18 needs to be divided by 3, making it exact.

Answer:12

Step-by-step explanation:

Perimeter of a square =4L

Perimeter of larger square is twice the perimeter of square =2x4L=8L

Wire length =18ft

Wire length =sum of the two perimeterr

18=4L+8L

18=12L

L=18/12

L=1.5

Perimeter of larger square=8L

Replace Lwith 5

Perimeter of larger square =8x1.5

Perimeter of larger square =12ft

Answer:

Subtracting Polynomials is very similar to adding polynomials. In fact, we will be changing the subtraction problem to an addition problem. In the Pre-Algebra section of the website, we started out by reviewing integers. We said, " When you subtract integers, you must add the opposite. We also talked about the Keep - Change- Change Rule.

Step-by-step explanation:

The explanation regarding the adding or subtracting polynomials compare to adding or subtracting integers is explained below:

The following information should be considered:

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She had 100 points then lost 12-0 points.

Subtract 120 from 100.

100 - 120 = -20

Answer:20

Step-by-step explanation:

Answer:

5 multiple choice questions

Step-by-step explanation:

Write equations to represent the situation.

let "x" be the number of multiple choice questions

let "y" be the number of short answer questions

Equation for the total number of questions:

x + y = 20        # of multiple choice questions + # of short answer questions

Equation for the total points: (Multiply the type of question with how many points you get.)

x + 3y = 50     You don't need to write '1' beside 'x' for multiplying by 1.

The system of equations we need to solve is:

x + y = 20 and x + 3y = 50

We can solve using the substitution method.

Rearrange x + y = 20 to isolate one variable.

Isolate 'y'.

x + y = 20

x - x + y = 20 - x     Subtract 'x' from both sides

y = 20 - x

Take the other equation x + 3y = 50. You can replace 'y' with the equation that equals 'y' that we got when rearranging.

Substitute y for 20 - x

x + 3y = 50

x + 3(20 - x) = 50    Use distributive property. Multiply the 3 outside the bracket by each number inside the bracket.

x + 60 - 3x = 50     Combine like terms. 'x' and '-3x' are alike because they both have 'x'.

60 - 2x = 50          Start isolating 'x'.

60 - 60 - 2x = 50 - 60     Subtract 60 from both sides.

-2x = 50 - 60     60-60 cancels out on the left side.

-2x = -10

-2x/-2 = -10/-2       Divide both sides by -2 to isolate 'x'.

x = -10/-2           -2x/-2 becomes 'x'. -2/-2 cancels out.

x = 5          Number of multiple choice questions

Therefore there are 5 multiple choice questions.

If you needed the number of short answer questions too, you would substitute x for 5 in any of the other equations.

Answer:

Yes

Step-by-step explanation: 2/8 is eq equivalent to 1/4 when reduced to the lowest term(i.e form)

Yes, this is because 2/8 is equivalent to one fourth, this is because eighths are fourths cut in half, so, you only need two of them to make a one right.

Hope this helps, if not, comment below please!!!

The total cereal mixture is 45 kilograms

Solution:

Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7

Therefore,

Almond : Wheat : Corn = 3 : 5 : 7

Let the almond present be 3x

Let the wheat present be 5x

Let the corn present be 7x

Therefore,

Total cereal mixture = 3x + 5x + 7x

Total cereal mixture = 15x

Given that mixture contains 9 kg of almond

Almond = 9

We know that,

Almond present = 3x

3x = 9

x = 3

Therefore,

Total cereal mixture = 15x = 15(3) = 45

Thus total cereal mixture is 45 kilograms

Answer:

34,33

Step-by-step explanation:

3×2=6

6-1=5

the pattern is multiplied by 2 minus1

Answer:

3/4

Step-by-step explanation:

im a big brain so yea

Answer:875 feet

350÷2=175

350+350+175=875

Step-by-step explanation:

Answer:

a is 7/25

b is 14/25

c is 24

Step-by-step explanation:

a) because there are 25 possible outcomes and 7 of them are 3 it is 7/25

b) using the same logic 14 possible outcomes are even

c) because the probability of it being 2 is 3/25, which can be made into ?/200 by multiplying the 25 by 8, which means we have to do the same to the 3, making it 24

Answer:

153

Step-by-step explanation:

The figure shows a right triangle with acute angle of 27°,  this angle is the angle between the water level and the ski ramp.

It is also shown the suplementary angle 27° marked as X°, which is the angle that you must determine.

In the figure is clear that x is the exterior angle of the corner with the angle of 27° and that X° + 27° = 180°.

Then you can solve for X.

X = 180° - 27° = 153°.

Answer: 153°  

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Answer:

9

Step-by-step explanation:

The way to find the answer is by finding the point we're the two circles intersect and adding the number in that space to the number in the middle as the people in the middle are shown to be capable of both things as well

Answer:

y equals 45, because you substitute the x in the bigger equation with -2, and then solve for y

Answer:

[tex]d=5t+20[/tex]

Step-by-step explanation:

The equation that will model this situation will be of the form

[tex]d=mt+b[/tex]

where [tex]t[/tex] is the time in hours john has traveled since the gas station, and  [tex]d[/tex] is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at [tex]t=0[/tex], [tex]d=20[/tex]; or

[tex]20=m(0)+b[/tex]

[tex]\boxed{b=20}[/tex]

Thus we have

[tex]d=mt+20[/tex].

Now we need to figure out [tex]m.[/tex]

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

[tex]m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5[/tex]

[tex]\boxed{m=5}[/tex]

Now we have the full equation:

[tex]\boxed{d=5t+20}[/tex]

Answer: -5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

The formula for calculating common difference is given by :

[tex]t_{2}[/tex] - [tex]t_{1}[/tex] = [tex]t_{3}[/tex] - [tex]t_{2}[/tex] = [tex]t_{4}[/tex] - [tex]t_{3}[/tex]

Where [tex]t_{1},t_{2}[/tex] are the terms given .

from the sequence given :

[tex]t_{1}[/tex] = 105

[tex]t_{2}[/tex] = 110

[tex]t_{3}[/tex] = 115

[tex]t_{4}[/tex] = 120

Therefore : common difference will be

110 - 105 = 5

115 - 110 = 5

120 - 115 = 5

Therefore , 5 is the common difference

Answer:

He have 0.96 acres of early corn.

Step-by-step explanation:

Given:

Toms garden is 8 acres. Two fifths is corn.

Of that, three tenths is early corn and one tenth is late corn.

Now, to find the acres of early corn.

Total garden = 8 acres.

Total Corn in garden = [tex]\frac{2}{5}\ of\ 8=\frac{2}{5} \times 8=\frac{16}{5}[/tex] acres.

As, given of the total corn in garden, three tenths is early corn.

Now, to get the early corn he have:

= [tex]\frac{3}{10} of \frac{16}{5}[/tex]

= [tex]\frac{3}{10} \times \frac{16}{5}[/tex]

= [tex]\frac{48}{50}[/tex]

= [tex]0.96\ acres.[/tex]

Therefore, he have 0.96 acres of early corn.

Answer:

1

Step-by-step explanation:

While I am not 100% sure what you are putting (I'm assuming it's -2^0), anything to the power of 0 will equal a positive 1 as your answer.

Answer:

18

Step-by-step explanation:

x^2 + y^2 – 14x + 10y = 250

x^2 -14x + y^2 + 10y = 250

x^2 - 14x + (-7)^2 + y^2 + 10y + (5)^2 = 250 + (-7)^2 +  (5)^2

(x-7)^2 + (y + 5)^2 = 250 + 49 + 25

(x-7)^2 + (y + 5)^2 = 324

Comparing with the general circle (x - b)^2 + (y - a)^2 = r^2

we have; r^2 = 324

               r = square root(324)

                r = 18

Answer:

Step-by-step explanation:

15/45 = 1/3  {giving by 15th table}

        = 0.33

Answer:

x = 12

Step-by-step explanation:

1. Set up a proportion:

32             (32 + x)

------   =      ------------

24             (24 + 9)

2. Cross-multiply & solve for x:

32*(24 + 9)    =     24*(32 + x)

1056     =     768 + 24x

288      =      24x

    12     =       x

    x     =   12

Answer:

-4

Step-by-step explanation:

-1(p+2)/2=-3-p

Multiplying both sides by 2

-p-2=2(-3-p)

-p-2=-6-2p

Combining similar terms

-p+2p=-6+2

p=-4

Final answer:

To solve for D in the equation z = a/b + c/d, subtract a/b from both sides, combine fractions on the left side, cross multiply, and finally solve for d by dividing both sides by (bz - a).

Explanation:

To solve for D in the equation z = a/b + c/d, you need to isolate d on one side of the equation. Here's how you can do it:

When a = 2.658653234, b = 0.179825026, c = -54.56945917, and z = 17.98260265, you would substitute these values and calculate d accordingly, leading to a numerical solution for d.

Answer:

The percent increase is 18.75%.

Step-by-step explanation:

Given:

Amber got a raise, and her hourly wage increased from $8 to $9.50.

Now, to find percent increase.

Previous wage = $8.

Wage raised = $9.50.

So, to get the increased wage we subtract the previous wage from the wage raised:

[tex]\$9.50-\$8=\$1.50.[/tex]

Now, to get the percent increase:

[tex]\frac{1.50}{8} \times 100[/tex]

[tex]=\frac{150}{8}[/tex]

[tex]=18.75\%.[/tex]

Therefore, the percent increase is 18.75%.

The percent increase in Amber's hourly wage from $8 to $9.50 is 18.75%.

To find the percent increase in Amber's hourly wage, you can follow these steps:

⇒ $9.50 - $8 = $1.50.

⇒ $1.50 ÷ $8 = 0.1875.

⇒ 0.1875 × 100 = 18.75%.

Therefore, the percent increase in Amber's hourly wage is 18.75%.

Complete question:

Amber got a raise and her hourly wage increased from $8 to $9.50. What is the percent increase?

Answer:

Contributing

Step-by-step explanation:

Just contribute the number that is not is the column to the number that is in the column

Final answer:

The provided expressions each represent different algebraic operations. The first involves rearranging a quadratic equation into standard form, while the second describes the line and graph representation of a linear equation. The third is the application of the product rule to find the derivative of an equation.

Explanation:

To determine which algebraic expression is represented by the model, the given expression of 3x +3+x²+x=24 needs to be simplified and put into standard form. This involves combining like terms and rearranging to achieve the form ax² +bx+c= 0. After combining terms involving x and rearranging, you should subtract 24 from both sides of the equation to set it equal to zero.
On the other hand, the equation y = 9 + 3x represents a linear relationship with a slope (m) of 3 and a y-intercept (b) of 9. Constructing a table or graph of this equation by plugging in different x-values and calculating y reveals a line on a graph. The given equation has no terms that would suggest it represents a model that includes x², thus it is not a quadratic equation and does not match the first expression.

When dealing with the derivative of the equation (x³)'(1 + x²)−¹ + x³ [(1 + x²)−¹]', according to the product rule, this simplifies to 3x² (1 + x²)−¹ + x³ [-(1 + x²)−²(2x)]. Simplifying further, you obtain a final form that involves squaring the binomial (1+x²).
These three examples of algebraic manipulation showcase different types of operations needed to simplify and derive equations for specific purposes.

Answer:

The flower garden width would be 6 ft

Step-by-step explanation:

A = 12 ft^2 = x(x + 4) becomes:

x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0

Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16

Taking the square root of both sides yields x + 2 = ±4.

In this context only a positive x value makes sense:  x = 2 + 4  =>  x = 6.

The flower garden width would be 6 ft.  The other dimension would be 6 - 4, or 2, ft.

To find the width of the flower garden when the area is 12 square feet, the equation A = x(x-4) is used. Solving for x, the width of the flower garden is 6 feet.

To find the width of the flower garden when the area is 12 square feet:

Plug in A=12 into the equation: 12 = x(x-4)

Solve the equation for x by factoring or using the quadratic formula

The possible values for x are 6 and -2, but since width can't be negative, the width of the flower garden is 6 feet (B)

Answer:

720$

Step-by-step explanation:

(1000+(230*24))-5800=720