Can you find the solution to the following system of linear equations. −4x+14y=−16 x−7/2y=4

Answer:

x - y = 4

x + y = 4

Step-by-step explanation:

Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).

- x - y = 4

- (4) - 0 = 4

-4 = 4

LS≠RS

x - y = 4

4 - 0 = 4

4 = 4

LS=RS

2 x + y = 7

2(4) + 0 = 7

8 = 7

LS≠RS

2 x + y = -7

2(4) + 0 = -7

8 = -7

LS≠RS

x + y = 4

4 + 0 = 4

4 = 4

LS=RS

2 x - y = 7

2(4) - 0 = 7

8 - 0 = 7

8 = 7

LS≠RS

Only x - y = 4  and x + y = 4  intersect at (4, 0).

Answer:

B and E sorry not sooner

Step-by-step explanation:

Answer:

x=45/2

Step-by-step explanation:

4/9=10/x

cross product

9*10=4*x

90=4x

x=90/4

simplify

x=45/2

Answer:

the small cup of root beer can hold 8 fl. oz

Step-by-step explanation:

52-36=16

16/2=8

Each small cup holds 8 fl. oz. Together they hold 16 fl. oz. Plus 36 fl. oz. Which equals 52 fl. oz.

Answer:

105

Step-by-step explanation:

7(33-18)=7(15)=105

The distance from the point A(-9,-3) to the line y = x - 6 is calculated using the formula for the distance from a point to a line in the coordinate plane. After substituting the values in the formula, the distance is approximately 8.5 units.

To find the distance from point A (-9,-3) to the line y = x - 6, we use the formula for the distance from a point to a line in two-dimensional space. This formula is |Ax1+ By1 + C| / sqrt(A^2 + B^2), where (x1,y1) is the point and Ax+By+C=0 is the equation of the line.

Firstly, we need to rewrite our given equation in the standard form. The equation y = x - 6 becomes x - y - 6 = 0. Therefore, A=1, B=-1, and C=-6.

Substitute A, B, C and the coordinates of point A into the formula, we get the distance as |[1*(-9) - 1*(-3) - 6]| / sqrt((1)^2 + (-1)^2) = |-12| / sqrt(2) = 8.48, rounding this to the nearest tenth, we get 8.5.

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The distance from the point A (-9,-3) to the line y = x - 6 is approximately 4.2 units when rounded to the nearest tenth.

You asked to find the distance between point A (-9,-3) to the line y = x - 6. The formula to find the shortest distance, d, from a point to a line is given by the absolute value of |Ax1 + By1 + C| divided by the square root of A squared plus B squared, where (x1, y1) are the coordinates of the point and the line equation can be written in the standard form as Ax + By + C = 0. In this case, A = 1, B = -1, C = 6 (because y - x = 6 can be re-written as y - x - 6 = 0). Plugging in the coordinates of point A and the values of A, B, and C into the formula, we get |1*(-9) + -1*(-3) + 6| divided by the square root of [tex](1)^2 + (-1)^2[/tex], which simplifies to |-6| divided by the square root of 2, or 6 divided by sqrt(2). Converted to a decimal and rounded down, this equals approximately 4.2 units. Therefore, the distance from the point to the line is 4.2 units, rounded to the nearest tenth.

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Answer:

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Mileage included with the rental = 54 miles

Additional mile over 54 miles = US$ 1 4/5

Distance finally driven by Thomas = 69 miles

2. Let's calculate how much additional money Thomas needs to pay.

Extra miles driven by Thomas = Distance finally driven - Mileage included

Extra miles driven by Thomas = 69 - 54

Extra miles driven by Thomas = 15

Cost of the additional miles = 15 * 1 4/5

Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80

Cost of the additional miles = 27

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Note: Same answer to question 14038906, answered by me.

Answer:

C) -2(9+32n)

Step-by-step explanation:

(-18)-64n=-18-64n

---------------------------

A) -2(9-32n)=-18+64n

B) 2(9-32n)=18-64n

C) -2(9+32n)=-18-64n

D) 2(9+32n)=18+64n

-----------------------------------

The answer is C.

Answer:

Try to include yes 0.30

Step-by-step explanation:

That is because we have to check the top and the bottom the add and multiply

Answer:

a.) $0.30 cents is the answer

Step-by-step explanation:

.75 • .4

Answer:

5y² + 5y - 11

Step-by-step explanation:

The length of a wooden beam is as a function of y

L(y) = 6y² +  5y + 1

and a piece of length  y²  - 12 is cut off the remaining piece is

6y² +  5y + 1 - y²  - 12  =  5y² + 5y - 11

To find the remaining length of the wooden beam, subtract the length of the cut-off piece from the original polynomial. Simplify the expression to get the final answer: 5y² + 5y + 13 meters. This represents the remaining length of the beam.

Finding the Remaining Length of the Wooden Beam:

We start with the original length of the wooden beam given by the polynomial 6y² + 5y + 1 meters.

We need to subtract the length of the piece that was cut off, which is given by the polynomial y² - 12 meters.

First, write down the original length of the beam:

6y² + 5y + 1

Next, identify the length of the piece cut off:

y² - 12

Subtract the second polynomial from the first:

(6y² + 5y + 1) - (y² - 12)

Simplify the expression by combining like terms:

6y² - y² = 5y²

5y remains unchanged.

1 - (-12) = 1 + 12 = 13

So, the remaining length of the beam is:

5y² + 5y + 13

The remaining length of the wooden beam, expressed as a polynomial in y, is 5y² + 5y + 13 meters.

Answer:

A I think

Step-by-step explanation:

49.1+ 90

Answer:

C

Step-by-step explanation:

Find the average of the two test scores.

(49.1 + 90)/2

139.1/2

69.55 ⇒ which is grade C

Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

Given:

Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

Now, to find the percentage of the people surveyed like to the new product:

People like new product / Total people surveyed × 100

[tex]\frac{44}{100}\times 100[/tex]

[tex]=0.44\times 100[/tex]

[tex]=44[/tex]

So, it is 44%

Therefore, the percentage people surveyed like to the new product is 44%.

Answer:

80 points

Step-by-step explanation:

28+35=63.

63+17=80.

Hope this is addition.

That simple

By adding the points scored in each game, we find that the football team scored a total of 80 points in all three games.

To find the total number of points the football team scored in all three games, we simply have to add the points scored in each game together. So, in the first game the team scored 28 points, in the second game they scored 35 points, and in the third game they scored 17 points. If we add these scores together (28 + 35 + 17), we get a total of 80 points. Therefore, the football team scored 80 points in all three games.

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The weight of a large box is 18.25 kilograms and the weight of a small box is 15.25 kilograms.

Let's use a system of equations to solve this problem. Let's assume the weight of a large box is 'x' and the weight of a small box is 'y'. Based on the given information, we can set up the following equations:

Now, we can solve this system of equations to find 'x' (the weight of a large box) and 'y' (the weight of a small box).

We can start by multiplying equation 1 by 5 and equation 2 by 2 to eliminate 'x':

Subtracting equation 4 from equation 3:

24y = 366

Simplifying:

y = 15.25

Substituting the value of 'y' back into equation 1 or 2, we can solve for 'x':

Therefore, a large box weighs 18.25 kilograms and a small box weighs 15.25 kilograms.

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The probability of not getting an outcome less than 3 is 2/3

Step-by-step explanation:

We can solve it by finding the probability of getting a number less than 3 and then taking its complement

So,

A die is rolled then

S = {1,2,3,4,5,6}

n(S) = 6

Let p be the probability of getting a number less than 3

The numbers less than 3 are {1,2}

So,

[tex]p =\frac{2}{6}\\p = \frac{1}{3}[/tex]

Let q be the complement of p,

The sum of probability of an event's occurrence and non-occurrence is 1

So,

p+q = 1

q = 1-p

[tex]q = 1 - \frac{1}{3}\\q = \frac{3-1}{3}\\q = \frac{2}{3}[/tex]

The probability of not getting an outcome less than 3 is 2/3

Keywords: Probability, Sample Space

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#LearnwithBrainly

The probability of rolling a fair die and not getting an outcome less than 3 is 2/3, as there are four favorable outcomes (3, 4, 5, 6) out of six possible outcomes on a fair six-sided die.

To clarify, rolling a die and not getting an outcome less than 3 means getting a 3, 4, 5, or 6. Since a fair die has 6 sides, each side has an equal chance of landing facing up, so the probability of getting any specific number is 1/6.

The outcomes that meet our condition are 3, 4, 5, and 6, which are four possible outcomes out of six. Therefore, the probability is calculated as the number of favorable outcomes over the total number of outcomes, which is 4/6. To simplify 4/6, we divide both the numerator and the denominator by the common factor of 2, which gives us 2/3.

Thus, the probability of rolling a number that is not less than 3 is 2/3.

Answer:

300

Step-by-step explanation:

9 rounds it up

Answer:

Step-by-step explanation:

[tex]x^2-36=5x\qquad\text{subtract}\ 5x\ \text{from bot sides}\\\\x^2-5x-36=0\\\\x^2+4x-9x-36=0\qquad\text{distribute}\\\\x(x+4)-9(x+4)=0\\\\(x+4)(x-9)=0\iff x+4=0\ \vee\ x-9=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\\x=-4<0\\\\x-9=0\qquad\text{add 9 to both sides}\\\\x=9>0[/tex]

[tex] \frac{ {11}^{4} }{ {11}^{ - 1} } = {11}^{4} \times 11 = {11}^{5} = 161051[/tex]

[tex] {x}^{ - 1} = \frac{1}{x} [/tex]

[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

Answer:

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{11^4}{11^{-1}}=11^{4-(-1)}=11^{4+1}=11^5[/tex]

Final answer:

The simple interest rate for Thomas' car loan is 3.33%.

Explanation:

To find the simple interest rate for Thomas' car loan, we need to use the formula for simple interest:

Simple Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $4800 and the monthly payment is $96. The time is 60 months. We can rearrange the formula to solve for the rate:

Rate = Simple Interest / (Principal x Time)

Plugging in the values:

Rate = 96 / (4800 x 60) = 0.0003333

So, the simple interest rate for Thomas' car loan is 0.03333 or 3.33%.

Answer:

The equation for the inequality is , c + d = 200  

And , $ 2.50 c + $ 1.25 d = $ 100

Step-by-step explanation:

Given as :

The total quantity of cider and donuts for charity = 200

The price of donuts holes =$ 1.25

The price of cider = $ 2.50

The total price money for the cider and donuts = $ 100

Let the quantity of each donuts = d

And The quantity of cider = c

Now, According to question

The total quantity of cider and donuts for charity = 200

Or, The quantity of cider + the quantity of each donuts = 200

Or, c + d = 200                  ..........A

And , $ 2.50 c + $ 1.25 d = $ 100               ............B

So, Solving equations

2.50 × ( c + d ) = 2.50 × 200

I.e 2.50 c + 2.50 d = 500

And 2.50 c + 1.25 d = 100    

Or, ( 2.50 c + 2.50 d ) - ( 2.50 c + 1.25 d ) = 500 - 100

Or, (2.50 c - 2.50 c ) + ( 2.50 d - 1.25 d ) = 400

Or,  0 + 1.25 d = 400

∴ d = [tex]\frac{400}{1.25}[/tex]

I.e d = 320

The quantity of donuts = 320

Hence  The equation for the inequality is , c + d = 200  

And , $ 2.50 c + $ 1.25 d = $ 100     Answer

To cover their expenses, the troop needs to raise at least $100. The inequality 2.50x + 1.25y ≥ 100 represents this goal. The primary topic is solving and graphing inequalities in two variables.

To write an inequality to represent the troop's goal, we can calculate the minimum amount of money they need to raise. Let x represent the number of gallons of cider sold and y represent the number of boxes of donut holes sold. The total amount of money raised can be given by the inequality 2.50x + 1.25y ≥ 100.

We can graph this inequality on a coordinate plane. Let's assume x represents the horizontal axis and y represents the vertical axis. To graph the inequality, we can first plot the line 2.50x + 1.25y = 100, which represents the equality. Then, since the inequality is ≥, we shade the region above the line to represent all the possible solutions that satisfy the inequality.

The primary topic of this question is solving and graphing inequalities in two variables.

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Answer:

Can you explain the question?

Step-by-step explanation:

Answer:

[tex]69,658\ employees[/tex]

Step-by-step explanation:

we know that

16,300 employees represent 23.4%

so

using proportion

Find out how many employees represent 100% (total employees of the company)

Let

x -----> total employees of the company

[tex]\frac{16,300}{23.4\%}=\frac{x}{100\%}\\\\x=16,300(100)/23.4\\\\x=69,658\ employees[/tex]

Answer:

i am smort

Step-by-step explanation:

q

To solve the given system of inequalities, we can solve each inequality separately and then find the intersection of their solution sets. The solution set is x≤5.

To solve the given inequality 3x-8≤23 or -4x+26≥6, we can solve each inequality separately and then find the intersection of their solution sets.

For the first inequality, 3x-8≤23, we add 8 to both sides and then divide by 3 to isolate x: 3x≤31, x≤31/3.

For the second inequality, -4x+26≥6, we subtract 26 from both sides and then divide by -4 to isolate x: -4x≥-20, x≤5.

Since x must satisfy both inequalities, the solution set is x≤5 and x≤31/3. Taking the smaller value, we have x≤5.

Answer:

13.5 ft Cubed

Step-by-step explanation:

This is the same thing as [tex]2*4.5*1.5[/tex]. Now just multiply and you get

[tex]13.5[/tex].

To find the width of the rectangle, use the formula Width = Area ÷ Length. Given an area of 28 square meters and a length of 7 meters, the width is 4 meters.

The area of a rectangle is calculated using the formula:

Area = Length × Width

Given that the area is 28 square meters and the length is 7 meters, we can find the width by rearranging the formula:

Width = Area ÷ Length

Substitute the given values into the formula:

Width = 28 square meters ÷ 7 meters = 4 meters

Therefore, the width of the rectangle is 4 meters.

Answer:

do you have a picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since you know that she bikes 2.625 miles to and from, times that by 2 to get the daily miles biked, 5.25 miles.

With this, do 5.25*5 to get the weekly miles biked, 26.25 miles.

Next, do 26.25*29 to get the miles total in 29 weeks, 761.25 miles.

So, Kristina bikes 761.25 miles in 29 weeks for her job.

Answer:

155°

Step-by-step explanation:

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA =

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

+ ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°

Answer:

[tex]\large\boxed{1.1(3)=1\dfrac{2}{15}=\dfrac{17}{15}}[/tex]

Step-by-step explanation:

[tex]1.1(3)=1+0.1(3)=1+0.1333...\\\\\text{Let}\ x=0.1333...\qquad\text{multiply both sides by 10}\\\\10x=1.333...\qquad\texT{multiply both sides by 10}\\\\100x=13.333...\qquad\text{make different}\\\\100x-10x=13.333...-1.333...\\\\90x=12\qquad\text{divide both sides by 90}\\\\x=\dfrac{12}{90}\\\\x=\dfrac{12:6}{90:6}\\\\x=\dfrac{2}{15}[/tex]