What is the x coordinate of the solution to the system?

-2x+6y=-38

3x-4y=32

I tried both linear combination and substitution, but I can't eliminate any variables. I know I'm doing something wrong, but I don't know what.

There are 3 cats in each cage. They way you get this answer is by dividing the total amount of cats (15) by the total amount of cages (5). hope this helps

We find that there are 3 cats in each cage.

To find out how many cats are in each cage, we need to divide the total number of cats by the number of cages. There are 15 cats ready for new homes and 5 cages. If each cage has the same number of cats, we perform the following calculation:

Count the total number of cats: 15 cats.

Count the total number of cages: 5 cages.

Divide the total number of cats by the number of cages: 15 cats / 5 cages = 3 cats per cage.

Therefore, there are 3 cats in each cage.

Take the breadth as x,as its the smallest value--(1)

Length is 2 more than 5 times the breadth--(2)

perimeter=160m

l=2+5x

b=x

Perimeter=2(l+b)

2(2+5x+x)

=2(2+6x)

Opening the brackets

=4+12x

4+12x=160

12x=160-4

x=156/12

=13

Therefore , by substituting the value of x

l=2+5*13=67m

b=13m

Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.

Explanation:

The given data is 900, 35, 500 and 300.

The number of observation is 4.

Formula of mean is,

[tex]\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]\bar{X}=\frac{900+35+50+300}{4} =433.75[/tex]

The formula of variance is given below,

[tex]\sigma^2=\frac{1}{n}\sum{(X-\bar{X})^2}[/tex]

[tex]\sigma^2=\frac{398668.75}{4}[/tex]

[tex]\sigma^2=99667.19[/tex]

The variance of the data is 99667.19

[tex]\sigma=\sqrt{99667.19}[/tex]

[tex]\sigma=315.7011[/tex]

The standard deviation of the data is 315.7011.

The other information or values of given chart is shown in the attached table.

Answer:

i.  mean of the data is 402.5

ii.  variance of the data is 77556.25

iii.  standard deviation of the data is 278.49

Step-by-step explanation: (x - ⁻x)²

from the chart given to me, the observation are:  45, 340, 400, 825

i.  mean is the summation of the observation divided by number of observation. ∈x÷n =( 45 + 340 + 400 + 825)÷ 4 = 402.5

ii.  variance is the square of the difference between the observation and mean divided by the number of observation.

variance = (45-402.5)²+(340-402.5)²+(400-402.5)²+(825-402.5)²÷4=77556.5

The answer is D. U and T

Why hello there

The correct answer to you question will be D. U and T

Important: If my answer did help please mark me as brainliest thank you and have a great day!

To find the cost of admission to the fair, subtract the cost of the ride tickets from the total spent. The linear equation 2.50x + y = 55.50 can be used to calculate the cost for anyone. The coefficient on x represents the cost per ride ticket, while the constant represents the total amount spent on ride tickets and admission.

(A) To find the cost of admission to the fair, we need to subtract the cost of the ride tickets from the total spent. Since Henry bought 15 tickets and spent a total of $55.50, we can use the equation 2.50x + y = 55.50, where x represents the number of ride tickets. Substituting x = 15, we can solve for y to find the cost of admission.

(B) The linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission is 2.50x + y = 55.50, where x represents the number of ride tickets and y represents the cost of admission.

(C) In the linear equation, the coefficient on x (2.50) represents the cost per ride ticket. The constant (55.50) represents the total amount spent on ride tickets and admission.

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To solve this problem you must apply the proccedure shown below:

1. You have the following system of equation:

[tex]\left \{ {{-4x-2y=-12} \atop {4x+8y=-24}} \right.[/tex]

2. As you can see, you can cancel out the variable [tex]x[/tex], because it has equal coefficient with different signs at both equations. Then, if you add both equations, you obtain:

[tex]6y=-36\\y=-6[/tex]

3. Let's substitute the value obtained into the second equation to calculate the other variable:

[tex]4x+8(-6)=-24\\4x-48=-24\\x=6[/tex]

The answer is: (6,-6).

I believe the radius would be 3.39

Hope this helps! Good luck! :)

144(π)cm² = 4(π)r²             Divide by π on both sides

144cm² = 4r²                      Divide by 4 on both sides

36 = r²                               Find the square root of both sides

√36 = √r²

4, 16, 64,  256

4¹, 4², 4³, 4⁴

Do you see the pattern?  [tex]a_{n} = 4^{n}[/tex]

Answer: D

Answer:

1. [tex]y=6x-23[/tex]

2. [tex]y=-5x+27[/tex]

3. [tex]y=-\frac{1}{2}x-2[/tex]

4. [tex]y=-1[/tex]

Step-by-step explanation:

- The equation of the line is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

- You have to find the y-intercept [tex]b[/tex], so, you must substitute the given point and the slope into each equation and solve for [tex]b[/tex], and then you must rewrite the equation of the line with the slope and the y-intercept calculated:

1. [tex]1=6(4)+b\\ b=-23\\ y=6x-23[/tex]

2. [tex]-3=-5(6)+b\\ b=27\\ y=-5x+27[/tex]

3. [tex]2=-\frac{1}{2}(-8)+b\\b=-2\\ y=-\frac{1}{2}x-2[/tex]

4. [tex]-1=0(-7)+b\\ b=-1\\ y=0x-1\\ y=-1[/tex]

The answer to what is 351,875 rounded to the nearest hundred thousand is 400,000. I am positive.

Simplify both sides of the inequality.

−5.3≥q+11

Flip the equation.

q+11≤−5.3

Subtract 11 from both sides.

q+11−11≤−5.3−11

ANSWER: q≤−16.3

The value of the given expression would be = - 177.

How to calculate the given expression?

To evaluate the given expression, the following steps should be taken as follows:

Given:

12x-3y

where

X = -14

y = 3

= 12(-14)-3(3)

= -168-9

= -177

u = <1,5> is a vector in the form <a,b> with a = 1 and b = 5.

||u|| = sqrt(a^2+b^2) is the magnitude or length of the vector

||u|| = sqrt(1^2+5^2)

||u| = sqrt(26)

The answer is choice D

Check out the attached image below for a visual.

pretty sure its 2 mugs

Answer:

2 mugs.

Step-by-step explanation:

We have been given that Ron made [tex]\frac{2}{3}[/tex] of a quart of hot chocolate. Each mug holds [tex]\frac{1}{3}[/tex] of a quart.

To find the number of mugs that can be filled by [tex]\frac{2}{3}[/tex] quart of hot chocolate, we will divide [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{3}[/tex] as:

[tex]\frac{2}{3}\div\frac{1}{3}[/tex]

Now, we will convert the division problem to multiplication problem by flipping the 2nd fraction as:

[tex]\frac{2}{3}\times\frac{3}{1}[/tex]

[tex]\frac{2\times 3}{3\times 1}[/tex]

[tex]\frac{2\times1}{1\times 1}[/tex]

[tex]2[/tex]

Therefore, Ron will be able to fill 2 mugs.

Answer:

y = (2/3)x + 2

Step-by-step explanation:

Start with the general slope-intercept form y = mx + b.  Substitute 3 for x and 4 for y and 2/3 for m, and find the intercept, b:

4 = (2/3)(3) + b, or 2 = b.  Then the desired equation is y = (2/3)x + 2.

A reasonable estimate for 697 times 82 would be 56,000

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility. Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We could round both numbers to make estimation easier to find.

So let's consider that 82 is 80 and 697 is 700.

As we know that 8 x 7 is 56, then the product of them will be;

80 x 700 =  56,000.

Therefore, This is a great way to estimate of big numbers easily.

Hence, A reasonable estimate for 697 times 82 would be 56,000

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For this case we have that by definition, the equation in the form of slope-intersection is given by:

[tex]y = mx + b[/tex]

Where

Substituting the given point: [tex](x, y) = (2, -4)[/tex] and the cutoff point [tex]b = -2[/tex] we can find the slope,

We have:

[tex]-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m[/tex]

[tex]m =-\frac{2}{2}\\m = -1[/tex]

Thus, the equation is given by:

[tex]y = -x-2[/tex]

Answer:

[tex]y = -x-2[/tex]

See attached image

4^3 · 4-^6

= 4^(3 + (-6))

= 4^-3

Answer

A) 4^-3

Answer:

C.

Step-by-step explanation:

Because the expression simplified is 2y^3-5y+8, so the answer is C.

Hope this helps! :)

~Angel

Answer:

The expression 3 + 4y – y(9 – 2y) + 5 is equivalent to 2y² -5y + 8  .

Option (B) is correct .

Step-by-step explanation:

As the expression given in the question be

=  3 + 4y – y(9 – 2y) + 5

First open the bracket

=  3 + 4y – 9y +2y² + 5

= 2y² -5y + 8

Therefore the expression 3 + 4y – y(9 – 2y) + 5 is equivalent to 2y² -5y + 8  .

Option (B) is correct .

For this case we have:

Part A:

Since d is the variable that represents the number of days, we can represent an inequality for the gains given by:

[tex]680d + 52000 <960d\\[/tex]

Part B:

We want to know the moment from which Julianne obtains earnings, for that we clear d of the previous inequality:

[tex]52000 <960d-680d\\\\52000 <280d\\\\\frac{52000}{280}<d\\[/tex]

[tex]185.7 <d\\\\d> 186 days\\[/tex]

To start making a profit, Julianne must work more than 186 days.

Answer:

[tex]680d + 52000 <960d\\\\d> 186 days\\\\[/tex]

The student needs 78 more pounds of coffee to reach the total of 112 pounds required.

The student's question:
The total amount of coffee needed is 112 pounds. You have already put 34 pounds into your cart. To find out how many more pounds you need, you subtract the amount you have from the total needed.

The polynomial function g(x) = [tex]x^4 - x^5[/tex] has two zeroes, which are x = 0 and x = 1. This result is obtained by setting the polynomial equal to zero and solving for x.

The given polynomial function is g(x) = [tex]x^4 - x^5[/tex]. To find the zeroes of the polynomial, this function should equal zero. Thus, we have[tex]x^4 - x^5[/tex] = 0.

We can simplify this function by factoring out the common factor, which is [tex]x^4[/tex]. The function thus becomes [tex]x^4[/tex](1 - x) = 0.

A product equals zero when one (or more) of the factors is zero. So, we need to set each factor to zero and solve for x. Setting [tex]x^4[/tex]= 0, yields x = 0. Setting (1 - x) = 0 results in x = 1.

This process gives two values of x that satisfy the equation [tex]x^4[/tex](1 - x) = 0 and therefore, the polynomial function g(x) has two zeroes, specifically x = 0 and x = 1.

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The product of all ten one digits numbers will be 0.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

All the ten one digit numbers are;

⇒ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Now,

The product of all the ten one digit numbers is,

⇒ 0 × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9

⇒ 0

Thus, The product of all ten one digits numbers will be 0.

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domain represents the x-values. the x-values start at 1 and end at 9.  1 is included and 9 is included (otherwise an open dot would be shown).

1 ≤ x ≤ 9

Answer:

The probability of my name being chosen is 1/6. As a decimal, that's 0.16666...

Step-by-step explanation:

As a decimal, that's 0.16666...

It is a step graph with slope of 2.

Answer: C

Whenever you are unsure, choose a coordinate, plug it into the equation, and see if it makes a true statement.

I choose (1/2, 1)   →   1 = [2(1/2)]   →   1 = [1]   TRUE

I choose  (1, 2)    →    2 = [2(1)]    →   2 = [2]  TRUE

width = 7cm

Length= 41cm

width=x

length=3x+20

96=3x+20+3x+20+x+x

96=8x+40

56=8x

x=8

Rectangle has 4 sides

You have the 2 side lengths (l) and the 2 side widths (w)

"The length is 20 centimeters more than triple the width" in math terms is

l = 20 + 3w

The perimeter is 96 centimeters, which is all the sides added up

2l + 2w = 96

2(20 + 3w) + 2w = 96

40 + 6w + 2w = 96

40 + 8w = 96

8w = 56

w = 7

now plug in w = 7 to get length in

l = 20 + 3w

Given: [tex]x^2 + 6x + 2x + 12 = 0.[/tex]

1. Combining like terms (here terms 6x and 2x both contain x, then we can combine them):

[tex]x^2+(6x+2x)+12=0,\\\\x^2+8x+12=0.[/tex]

2. Distributive postulate:

[tex]x^2+8x+12=(x+6)(x+2).[/tex]

The equation is

[tex](x+6)(x+2)=0.[/tex]

3. Zero product postulate (zero product postulate state that if a product of two factors is equal to zero, then first factor is equal to zero or second factor is equal to zero):

[tex]x+6=0 \text{ or } x+2=0.[/tex]

4. Subtraction property of equality:

a) subtract 6 from the first equation:

[tex]x+6=0\Rightarrow x+6-6=-6, \ x=-6.[/tex]

b) subtract 2 from the second equation:

[tex]x+2=0\Rightarrow x+2-2=-2, \ x=-2.[/tex]

Answer:

1. x2 + 6x + 2x + 12 = 0 1. Given

2. x2 + 8x + 12 = 0        2. Combining like terms

3. (x + 6)(x + 2) = 0       3. Distributive Postulate

4. x + 6 = 0 or x + 2 = 0 4. Zero product postulate

5. x = -6 or x = -2         5 Subtraction property of equality