Graph the liner equation. Find three points that solve the equation then plot on the graph -5x-3y=-7

Answer:

A. 5

Step-by-step explanation:

you need to bring the dot to the same value like this =10÷2

Answer:

A 18° and 72°

Step-by-step explanation:

As you know, the sum of two complementary angles = 90

The ratio 1 : 4 = 1 + 4 = 5

So 90/5 = 18

1 x 18 = 18

4 x 18 = 72

The two complementary angles are  18° and 72°

Answer

A 18° and 72°

Answer:

He has 11 quarters

Step-by-step explanation:

* Lets study the information in the problem to solve it

- The value of dimes and quarters is $6.35

- There are dimes and quarters

- The dime = 10 cents

- The quarter = 25 cents

* We must change the money from dollars to cents

∵ $1 = 100 cents

∴ $6.35 = 6.35 × 100 = 635 cents

- The number of dimes = 3 + 3 × number of quarters

* Let number of dimes is D and number of quarter is Q

∴ D = 3 + 3Q

∴ 10D + 25Q = 635

* Substitute the value of D from first equation in the second equation

∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket

∴ 10(3) + 10(3Q) + 25Q = 635

∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms

∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides

∴ 55Q = 605 ⇒ divide both sides by 55

∴ Q = 11

* He has 11 quarters

Answer:

11

Step-by-step explanation:

Answer:

The sum (answer) is [-1, 2, 1, 9].

Step-by-step explanation:

Here we're asked to sum up two matrices of the same dimensions (1 by 4).

The value in the first matrix, first column, is 1; that in the second matrix, first column, is -2.  Combining 1 and -2, we get -1, which is the first column value in the answer matrix.

Continuing in the same manner:  -4 + 6 = 2; 3 - 2 = 1; and 5 + 4 = 9.

The sum (answer) is [-1, 2, 1, 9].

It would be $3.5 per pound for the coffee and $4 per pound for tea.

Final answer:

The cost per pound of coffee is found to be $3.50 by setting up two equations from the given information and solving for the price of coffee.

Explanation:

To find out the price per pound of coffee, we need to set up two equations based on the given information and solve them using the method of substitution or elimination. Let's assume C is the cost per pound of coffee and T is the cost per pound of tea.

The first situation gives us the equation:

2C + 3T = $19.00

The second situation gives us the equation:

5C + 6T = $41.50

We can multiply the first equation by two, which gives:

4C + 6T = $38.00

By subtracting this equation from the second equation, we get:

(5C + 6T) - (4C + 6T) = $41.50 - $38.00

This leaves us with:

C = $3.50

Therefore, the cost of coffee per pound is $3.50.

Answer:

18

Step-by-step explanation:

write ham, turky and roast beef and draw 2 arrows from each one, the first one say soup and the second one say salad. Then from each of those draw 3 lines;one saying tea, one saying lemonade and one saying soda. Finaly label every drink by number. So you will have 18 numbers so there is 18 choises.

The answer is C 24 square units.

Hope this helps!

Answer:

The answer is C.24 square units.

Step-by-step explanation:

It completely depends on the teacher, but typically exams seem to be worth at least 50% of your final grade.

I depends on what school you go to and how many subjects you have to study. It also depends on the type of teacher you have. But generally I would say exams are worth over 50% of your final grade.

Hope this helps!

the formula is 1/3 area of the base times height so

14*14=106

196*6=1176

1176/3=392

392cm^3 is the anwser

Answer:

Option A. 392 cm³

Step-by-step explanation:

Formula to get the volume of a pyramid is

[tex]V=\frac{1}{3}(l)(w)(h)[/tex]

Here l = length of the base

w = width of the base

h = height of the pyramid

From the figure attached

l = w = 14 cm

h = 6 cm

Therefore, [tex]V=\frac{1}{3}(14)(14)(6)[/tex]

V = 14×14×2 = 392 cm³

Option A. 392 cm³ is the answer.

For this case we must complete squares:

[tex]x ^ 2 + 10x = 15[/tex]

We add the square of half the coefficient of the term "x",

[tex](\frac {b} {2a}) ^ 2[/tex] on both sides of the equation:

[tex]x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15[/tex]

According to the perfect square trinomial we have:

[tex](a + b) ^ 2 = a ^2 + 2ab + b ^ 2[/tex]

Rewriting the expression we have:

[tex]a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40[/tex]

ANswer:

[tex](x + 5) ^ 2 = 40[/tex]

1.36208 x 10^4, good luck

150.72 is the exact answer. Hope this helped!!

Answer:

It's -6. She did a bunch of weird work under my answer.

Step-by-step explanation:

The x-intercept of the graph of the equation 3x + 12 = -6 can be found by solving for x. Performing the necessary operations we get x=-6, thus, the x-intercept is -6.

To find the x-intercept of the graph of the equation 3x + 12 = -6, let's first solve the equation for x. The x-intercept is the value of x where the graph intersects with the x-axis, this is the point where y = 0. By rearranging the equation, we can first subtract 12 from both sides to get 3x = -18, then divide both sides by 3 to get x = -6. So, the x-intercept of the graph is -6.

Here, we haven't needed to use information about the slope or the y-intercept, which do not affect the x-intercept. The slope of the line determines its steepness and direction, while the y-intercept determines where it crosses the y-axis. These shape the line but will not change where it crosses the x-axis.

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if its diameter is 30, then its radius is half that, or 15.

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=15 \end{cases}\implies A=\pi 15^2\implies A=225\pi \implies A\approx 706.86[/tex]

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

The diameter of the circular swimming pool is 30 feet.

To find out the square feet of blue the area of the circle has to be calculated.

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle with diameter [tex]d[/tex] can be calculated as,

[tex]A=\pi\times \dfrac{d^2}{4}[/tex]

Put the value of the diameter, we get,

[tex]A=\dfrac{22}{7} \times \dfrac{30^2}{4}[/tex]

[tex]A=707.143[/tex]

The area of the circle is 707.143 square feet.

As the area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

Learn more about the area of the circle here;

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On dividing both the numerator and the denominator of [tex]\frac{20a^2b}{5ab^2}[/tex] by 5b, the result is [tex]\frac{4a}{b}[/tex].

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Note: Let the variable x represent the unknown expression or missing term.

Based on the information provided, we can logically set up the following mathematical equation:

[tex]\frac{20a^2b}{5ab^2} \div \frac{x}{x} =\frac{4a}{b}[/tex]

Next, we would solve the equation in parts by using the numerators and denominators as follows;

[tex]20a^2b \div x = 4a\\\\\frac{20a^2b}{x} =4a\\\\x4a=20a^2b\\\\x=\frac{20a^2b}{4a} \\\\x=5a\\\\\\\\\frac{5ab^2}{x} =b\\\\xb=5ab^2\\\\x=\frac{5ab^2}{b} \\\\x=5a[/tex]

Complete Question:

Select the correct answer from the drop-down menu.

Find the missing term.

On dividing both the numerator and the denominator of [tex]\frac{20a^2b}{5ab^2}[/tex] by ___, the result is [tex]\frac{4a}{b}[/tex].

Answer:

The standard error of the proportion is

[tex]E=0.089[/tex]

Step-by-step explanation:

Assuming that the size of population N is large enough, and with a sample [tex]n = 30[/tex], so that:

[tex]\frac{n}{N}\leq0.05[/tex] then the standard error of the proportion is:

[tex]E = \sqrt{\frac{p(1-p)}{n}}[/tex]

Where

[tex]n = 30\\\\p= 0.6\\\\E = \sqrt{\frac{0.6(1-0.6)}{30}}\\\\E =\sqrt{\frac{0.6(0.4)}{30}}\\\\E=\frac{\sqrt{5}}{25}=0.089[/tex]

Answer:

[tex]ln(e^x)=ln(3)[/tex]

[tex]x=1.099[/tex]

Step-by-step explanation:

You have the following exponential expression:

[tex]2e^x=6[/tex]

You need to divide both sides of the equation by 2:

[tex]\frac{2e^x}{2}=\frac{6}{2}\\\\e^x=3[/tex]

Now apply the function Natural logarithm to both sides of the function:

[tex]ln(e^x)=ln(3)[/tex]

Note that now the exponential function is transformed into a logarithmic function.

By definition:

[tex]ln(e^x)=x[/tex] Because the base of the Natural logarithm is the Euler's number "e".

Then you can solve for "x":

[tex]x=ln(3)\\x=1.099[/tex])

Answer: If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,

       supply: 324000 = 6p   ; p = 324000/6 = 54000

       demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696

The equation that models the price-demand relationship is:  [tex]\[ y = -30x + 2270 \][/tex]

The correct option is (C).

find the linear equation that models the price-demand relationship based on the given data points.

1. Given Data:

  - Price at which demand is 200 games:[tex]\(x_1 = 69\), \(y_1 = 200\)[/tex]

  - Price at which demand is 1,100 games: [tex]\(x_2 = 39\), \(y_2 = 1100\)[/tex]

2. Slope Calculation:

  The slope (m) of the linear equation can be found using the formula:

 [tex]\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{1100 - 200}}{{39 - 69}} = \frac{{900}}{{-30}} = -30 \][/tex]

3. Y-Intercept Calculation:

  Using one of the data points [tex](let's use \(x_1 = 69\), \(y_1 = 200\))[/tex]:

  [tex]\[ y_1 = mx_1 + b \\ 200 = (-30)(69) + b \\ b = 2270 \][/tex]

4. Linear Equation:

  The equation that models the price-demand relationship is:

 [tex]\[ y = -30x + 2270 \][/tex]

Therefore, the correct answer is C. (y = -30x + 2270). This equation represents the linear relationship between the price per video game ((x)) and the demand ((y)) based on the given survey data.

The answer is:

The correct option is the first option,

[tex]y=\frac{5}{4} (x-1)[/tex]

To solve this problem, we need to remember that the point-slope form of a line is given by the following equation:

[tex]y-y_{1}=m(x-x_{1})\\\\y-0=\frac{5}{4}(x-1)[/tex]

We are given two points of the line,

[tex](5,5)\\(1,0)[/tex]

Where,

[tex]x=5\\x_{1}=1\\y=5\\y_{1}=0\\[/tex]

Then, substituting the given points into the equation ,to calculate m (slope), we have:

[tex]m=\frac{y-y_{1}}{x-x_{1}}[/tex]

[tex]m=\frac{5-0}{5-1}=\frac{5}{4}[/tex]

The slope of the function is [tex]\frac{5}{4}[/tex]

Now, substituting "x1" and "y1" and the slope in the point-slope equation, we have:

[tex](y-0)=\frac{5}{4} (x-1)[/tex]

[tex]y=\frac{5}{4} (x-1)[/tex]

Hence, the correct option is the first option,

[tex]y=\frac{5}{4} (x-1)[/tex]

Have a nice day!

Answer:

The correct answer is first option

y = 5/4(x - 1)

Step-by-step explanation:

It is given two coordinates (5, 5) and (1, 0)

To find the slope

Slope = (y₂ - y₁)/(x₂- x₁)

slope = (5 - 0)/(5 - 1) = 5/4

To find the equation

(y - y₁)/(x - x₁) = 5/4

(y - 0)/(x - 1) = 5/4

y = 5/4(x - 1)

The correct answer is first option

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

$2.770,00. Hello friend, for reach that answer you have to add all values:

200+150+250+260+285+380+200+225+200+250+220+150= 2770.

It will be easier if you do ir by parts, like:

(200+150) + (250+260) + ...

Thank you for asking!

Have a nice day.

The average pay for Tim Worker's second job income monthly is $232.50.

To calculate the average, first, sum up all the monthly incomes:

200 + 150 + 250 + 260 + 285 + 380 + 200 + 225 + 200 + 250 + 220 + 150 = $2970

Next, divide the total income by the number of months (12 in this case) to find the average:

2970 / 12 = $232.50

So, the average monthly income from Tim Worker's second job is $232.50.

To find the average income, you add up all the monthly incomes and then divide by the total number of months. In this case, adding up Tim Worker's monthly incomes gives us $2970. Then, dividing by 12 (the number of months) gives us the average monthly income of $232.50. This method ensures that each month's income contributes equally to the overall average, regardless of fluctuations in individual months. So, despite variations in Tim Worker's monthly income, the average remains consistent at $232.50 per month.

Complete question:

Tim Worker receives the following income monthly from a second job.

Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.

$200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150

In dollars and cents the average pay will be?

ANSWER

[tex]P( \bar E) =\frac{14}{15} [/tex]

EXPLANATION

The sample space is S={1,23,4,5,...60}

n(S)=60

The multiples of 13 are:

E={13,26,39,52}

n(E)=4

Probability of choosing a picture that is a multiple of 13 is

[tex]P(E)= \frac{n(E)}{n(S)} [/tex]

[tex]P(E)= \frac{4}{60} [/tex]

Probability of choosing a picture that is NOT a multiple of 13 is

[tex]P( \bar E)= 1 - \frac{4}{60} = \frac{56}{60} = \frac{14}{15} [/tex]

Answer:

1. 2/3

2. 11/12

3. 4/5

4. 2/3

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= 11(123x - 40) ← distribute

= 1353x - 440

Substitute x = - 4 into the product

= (1353 × - 4) - 440

= - 5412 - 440

= - 5852

Answer:11.4

Step-by-step explanation:

Every scale inch is 16 inches

if we take 31 to be the 100%, what is 28 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 31&100\\ 28&x \end{array}\implies \cfrac{31}{28}=\cfrac{100}{x}\implies 31x=2800\implies x=\cfrac{2800}{31} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x\approx 90.32~\hfill[/tex]

I think that the answer is B.

Answer:

if u asked maybe a little nicer. UMM NO

Step-by-step explanation:

Answer is (-117, 2)

See photo

Final answer:

An isosceles triangle PQR with points P and Q sharing the same x-coordinate requires point R to also have this x-coordinate to have equal PR and QR sides. The y-coordinate of R should be the average of P and Q's y-coordinates. None of the provided options satisfy these conditions.

Explanation:

If we are looking for the coordinates of point R such that triangle PQR is isosceles, we should recall that in an isosceles triangle, two sides are of equal length. We can observe that whatever point we choose for R, one of the equal sides will be either PR or QR because points P and Q share the same x-coordinate (2).

Considering the coordinates of P (2, 7) and Q (2, -3), the vertical distance between P and Q is 10 units. For triangle PQR to be isosceles, the distance from R to either P or Q needs to be the same. This means point R must be horizontally aligned with P and Q to maintain its x-coordinate as 2, while the y-coordinate must be equidistant from P and Q's y-coordinates.

Since point P's y-coordinate is 7, and Q's is -3, the y-coordinate of R must be the average of 7 and -3, which is (7 + (-3))/2 = 2.

Therefore, the coordinates of R should be (2, 2), making triangle PQR isosceles with PR and QR as the equal sides. However, none of the given options (I, II, III) have an x-coordinate of 2, so none of these points could form an isosceles triangle with P and Q according to the given coordinates.

Answer:

Y=-|x-2|

Step-by-step explanation:

To find which equation matches the graph, take 1 or 2 values of the line on the graph and enter the X and Y values of those points in the equations to see if they match

One good strategy is to take points that are along the axis. I'll first pick (1,-1) and will use (0,-2) to validate if one equation matches (1,-1) first.

Y=-|x|+2

for (1,-1) => -|1| + 2 = = -1 + 2 = 1 NO, should be -1

Y=-|x|-2

for (1,-1) => -|1| - 2 = = -1 - 2 = -3 NO, should be -1

Y=-|x+2|

for (1,-1) => -|1 + 2| = = -|1 + 2| = -3 NO, should be -1

Y=-|x-2|

for (1,-1) => -|1 - 2| = = -|-1 | = -1 YES

for (0,-2) => -|0 - 2| = = -|-2| = -2 YES

Answer:

15, 94

Step-by-step explanation: