2/3(1/4x—2)=1/5(4/3x—1)

ANSWER

(–4.5, 4.25)

EXPLANATION

The first equation is

[tex]y = - \frac{5}{2}x - 7[/tex]

This function is in the slope-intercept form

The second equation is:

x + 2y = 4

2y =-x+ 4

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

The graph of the two functions are shown in the attachment.

The point of intersection represents the solution to the system of equations they represent.

The solution is

(–4.5, 4.25)

Answer:

24

Step-by-step explanation:

8*3= 24

if you use this ratio and simplify the new ratio (8:24), you get the original ratio of 1:3

Answer:

Step-by-step explanation:

[tex]\text{We have the ratio}\\\\roses\ to\ dailes=\dfrac{roses}{dailes}\to1:3=\dfrac{1}{3}\\\\\text{We have}\ 8\ roses.\ \text{Substitute:}\\\\\dfrac{8}{dailes}=\dfrac{1}{3}\qquad\text{cross multiply}\\\\dailes=(3)(8)\\\\dailes=24[/tex]

Answer:

18°

P.S. Put as brainiest!

Answer:

x = 11, y = 8

Step-by-step explanation:

ΔABC and ΔFDE are congruent by the postulate SSS

Equate the congruent sides in the 2 triangles

BC = ED, that is

x + 3 = 14 ( subtract 3 from both sides )

x = 11

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

DF = AB, that is

x - y = 3 ← substitute x = 11

11 - y = 3 ( subtract 11 from both sides )

- y = 3 - 11 = - 8 ( multiply both sides by - 1 )

y = 8

Answer:

The value of x is 11 and the value of y is 8.

Step-by-step explanation:

It is given that ∆ABC and ∆FDE are congruent.

The corresponding parts of congruent triangle are congruent.

[tex]AB=FD[/tex]                       (CPCTC)

[tex]3=x-y[/tex]                 .... (1)

[tex]BC=DE[/tex]                       (CPCTC)

[tex]x+3=14[/tex]

Subtract 3 from both the sides.

[tex]x=14-3[/tex]

[tex]x=11[/tex]

The value of x is 11.

Put x=11 in equation (1).

[tex]3=11-y[/tex]

Add y on both the sides.

[tex]3+y=11[/tex]

Subtract 3 from both the sides.

[tex]y=11-3[/tex]

[tex]y=8[/tex]

The value of y is 8.

Answer:

-8

Step-by-step explanation:

Simply plug in 8, then evaluate to arrive at your answer.

Answer:

2460 square units

Step-by-step explanation:

Calculate the surface area of the Rectangular Pyramid, calculate the surface area of the Square Prism [Cube], then you add them up.

Answer:

The answer is 22.5

Step-by-step explanation:

The person who answered above me said it was 0.375, but that was in hours. 0.375 hours in min = 22.5.

The person who answered above me is not wrong, it is just that it was in hours.

Welcome! :)

Ava and Kelly will be 3/4 mile apart after 22.5 minutes of running at their respective speeds of 6 mph for Ava and 8 mph for Kelly.

To determine when Ava and Kelly will be 3/4 mile apart in a road race, we must calculate the difference in distance they cover over the same time frame. Ava runs at 6 miles per hour (mph) and Kelly runs at 8 miles per hour (mph). The difference in their speeds is 2 mph (8 mph - 6 mph).

We need to calculate the time it takes for this difference in speed to result in a gap of 3/4 miles. Since speed is distance divided by time, we can use the formula:
Time = Distance / Speed. Substituting the values we have, we get:
Time = (3/4) miles / 2 mph. When we calculate this, we find the time to be 3/8 hours, or 22.5 minutes.

Therefore, Ava and Kelly will be 3/4 mile apart after 22.5 minutes of running at their respective average speeds.

Answer:

y = x + 3 or y = x - 3

Step-by-step explanation:

Rise over run for slope (m) and then get the y-intercept (b) by continuing the pattern from right to left until you cross the y-axis.

Plug m and b into y = mx + b

side p and side r are both perpendicular to side s.

Side p:

y = x + 3

Side s:

y = x - 3

The k-th root's inverse function is raising to the k-th power.

So, if we raise the k-th root of some number x to the k-th power, we have applied a function and its inverse to x, and we must get x itself as output:

[tex]f(f^{-1}(x))=f^{-1}(f(x))=x\quad\text{for every invertible function f}[/tex]

So, in our case, we have

[tex](\sqrt[k]{x})^k = \left(x^{\frac{1}{k}}\right)^k=x^{k\cdot \frac{1}{k}}=x^1=x[/tex]

The equation that Arlene claim should be [tex]x^{k.\frac{1}{k}} \ = x^1 = x[/tex]

The k-th root's inverse function should be raising with respect to the k-th power.

Thus, in the case if we raise the k-th root of some number x to the k-th power, so here we used the function and its inverse to x, and we must get x itself in an output:

So,

[tex](k \sqrt x)^k = (x\frac{1}{k})^k = x^{k.\frac{1}{k}} \ = x^1 = x[/tex]

learn more about the expression here: https://brainly.com/question/24686935

The mode in a stem-and-leaf plot is determined by identifying which leaf (end digit of a data point) occurs most often for a particular stem (leading digit(s)). For example, in the data set 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as it appears most frequently.

The stem-and-leaf plot is a type of graph that provides a visual representation of data. It is a way of organizing data in which we can easily discover the mode, mean, median, and even the shape of the distribution (such as skewness). The mode in a data set is the value that appears the most often. In the context of a stem-and-leaf plot, identifying the mode involves finding which 'leaf' or end digit of a data point (the last digit in a number) occurs most frequently on a particular 'stem' or leading digit (all but the last digit of a number).

For example, in the stem-and-leaf plot of the data set given : 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as the number '7' shows up the most often, which is 6 times. For identifying the mode, we closely look at the list of leaf values for each stem value and determine which leaf occurs more frequently than any other. Therefore, to answer the student's question about finding the mode from a stem-and-leaf plot, they simply need to identify which leaf value occurs most frequently in the data set presented in the plot.

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The mode of the set of data in the stem and Leaf plot is 51

From the question, we have the following parameters that can be used in our computation:

The stem and leaf plot

By identifying the stem with the most leaves, we have identified the stem represents the mode of the data set.

Using the above as a guide, we have the following:

The stem is 5 and the leaf is 1

So, the mode is 51

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y = mx + b

m = slope

b = y-intercept

Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)

To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b

0 = 3(-1) + b

0 = -3 + b

0 + 3 = (-3 + 3) + b

3 = b

so...

y = 3x + b

Hope this helped and made sense!

~Just a girl in love with Shawn Mendes

Answer:

y = 3x - 3

Step-by-step explanation:

Since our line is parallel to y = 3x, our slope should be 3. We also have the points (-1, 0).

From here, we can use the point-slope form (how convenient):

y - y₁ = m(x - x₁), where (x₁, y₁) is the given coordinate on the line, and m is the slope of the line

Plug in: y - 0 = 3(x - 1)

We could leave it here, but we should convert this line into the more commonly-seen slope-intercept form.

Distribute: y - 0 = 3x - 3

Identity: y = 3x - 3

Answer:

The equation of the line is y = 4x

Step-by-step explanation:

* Lets revise how to form an equation of a line from its slope and

 a point on the line

- The equation of a line is written as y = mx + b where m is the

  slope of the line and b is the y-intercept.

- The line intersect the y-axis at point (0 , b)

* Lets solve the problem

- The line has slope = 4

- The line passes through the point (2 , 8)

∵ The slope = 4

∵ m is the slope of the line in the equation

∴ m = 4

- Substitute the value of m in the equation

∵ y = mx + b

∴ y = 4x + b

- To find the value of b substitute the x-coordinate and the

  y-coordinate of the point instead of x and y of the equation

∵ The point (2 , 8) lies on the line

∵ y = 4x + b

- Put x = 2 and y = 8 in the equation to find b

∴ 8 = 4(2) + b ⇒ simplify

∴ 8 = 8 + b ⇒ subtract 8 from both sides

∴ 0 = b

- That means the y-intercept = 0 and the line passing through

  the origin point

∴ y = 4x + 0

* The equation of the line is y = 4x

Answer:

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y < -1/2x + 2

for (2, 3) → x = 2, y = 3

3 < -1/2(2) + 2

3 < -1 + 2

3 < 1     FALSE

============================

for (2, 1) → x = 2, y = 1

1 < -1/2(2) + 2

1 < -1 + 2

1 < 1    FALSE

============================

for (3, -2) → x = 3, y = -2

-2 < -1/2(3) + 2

-2 < -1.5 + 2

-2 < 0.5      TRUE

============================

for (-1, 3) → x = -1, y = 3

3 < -1/2(-1) + 2

3 < 1/2 + 2

3 < 2 1/2      FALSE

-$1.71

To find the average of a set of numbers, you add them all together and divide by the amount of numbers.

Start by adding the numbers together to get -8.55.

Since they are 5 numbers, divide -8.55 by 5 to get -1.71.

So, the average daily change of the stock’s value is -$1.71.

Answer: 64.7

Step-by-step explanation: 258.8 divided by 4

We know that there are 30 hallways and we know that there are 2 hall monitors for every hallway. Knowing this, we see that there are 60 total hall monitors

We also know that there are 4 supervisors for every 20 hall monitors.

60 hall monitors can also be thought of as 20 hall monitors + 20 hall monitors + 20 hall monitors

We see that there are 3 groups of 20 hall monitors

Group 1 will have 4 supervisors

Group 2 will have 4 supervisors

Group 3 will have 4 supervisors

Answer: 12 supervisors

Reflection across y-axis

Imagine folding the paper in half with the y-axis being the crease. the triangles would line up perfectly

The resulting transformation is a combination of rotation and translation.

The resulting R'ST' is an example of a Rotation and Translation.

In a rotation, an object is turned or twisted around a fixed point. In this case, R'ST' is rotated around a specific point.

A translation refers to the sliding of an object in a particular direction.

In this case, R'ST' is also shifted or translated in a specific direction.

Therefore, the resulting transformation is a combination of rotation and translation.

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Answer:

Let's solve for x.

4x−2y=20

Step 1: Add 2y to both sides.

4x−2y+2y=20+2y

4x=2y+20

Step 2: Divide both sides by 4.

4x/4

=  2y+20/4

x=  1/2y+5

Answer: x=  1/2y+5

The answer is 125° = x because the exterior angle is 55°, from adding up all the exterior angles to ensure they add up to 360°. Then, you would have to use the Supplementary Angeles Theorem to find the obtuse measure beside that 55° exterior angle: 55 + m<x = 180. This is how you get 125° = m<x. You understand?

Answer:

B

Step-by-step explanation:

Two pairs of consecutive sides are congruent, so it can't be C.

At least one pair of opposite sides are parallel, so it can't be A.

The quadrilateral can't be inscribed in a circle, so it can't be D.

Therefore, the quadrilateral is a rhombus.  Answer B.

Answer:

gallons and cents

Step-by-step explanation:

These are the things you can basically measure.

Answer:

gallons and cents

Step-by-step explanation:

These are the things you can basically measure.

Given : f(x) = 5x² - 7(4x + 3)

Now,

f(3) = 5 × 3² - 7(4 × 3 + 3)

= 5 × 9 - 7(12 + 3)

= 45 - 7 × 15

= 45 - 105

= - 60

Hence,

f(3) = - 60

To find f(3) for the function f(x) = 5x² - 7(4x + 3), we substitute 3 into the function and simplify to get f(3) = -60.

To evaluate f(3) for the function f(x) = 5x² - 7(4x + 3), we need to substitute the value of 3 into the function:

f(3) = 5(3)² - 7(4(3) + 3)

Now we simplify the expression step by step:

The final result is:

f(3) = 45 - 105 = -60.

Answer:

4,582,500

Step-by-step explanation:

(30,000*611)/4=4,582,500

Answer:

Quarterly budget of $4582500 must be allocated.

Step-by-step explanation:

A facility spends on its inmates of an average = $30000 annually

Number of inmates = 611

Total amount to be spent = $30000×611

= $18330000

Since there are 4 quarters in a year so quarterly budget allocated

= [tex]\frac{18330000}{4}[/tex]

= $4582500

Therefore, quarterly budget of $4582500 should be allocated.

1 ) Watts =E * I = 110 * 5 = 550 watts =.55 KW  

2) I = Watts / e = 1100 / 110 = 10 amperes  

3) 1 horsepower = 33000 ft/lbs per minute  

HP = ( 2000 * 1000) / (33000 *4) = 15.1515 hp  

4) cost = (10 * 100 / 1000) *11 * $0.10 = $1.10  

5) This answer will be incorrect because you have not stated the power factor of the motor.  

va = I * E = 7.5 * 240 = 1800  

2 hp = 2 * 746 watts = 1492 watts  

If the motor had a 1.0 power factor (it doesn't) the efficiency would be  

efficiency = output / input = 1492 / 1800 = 82.888 %  

6) I = watts / E =1000 / 120 = 8.333 amps  

7) 1 = watts / E = 1000 / 240 = 4.1616  

8) Kw-hr = (2 * 24 * 365 ) / 1000 = 17.52  

cost = kw-hr * $0.03 = 17.52 * $0.03 = $0.5256  

9) efficiency = (115 * 240) / (2400 * 12) = 95.8333 %  

10) KW = (I^2 * R) / 1000 = (20^2 * 5) / 1000 = 2  

the current required is 10 amperes.

To calculate the current required for a device rated at 1,100 watts operating at 110 volts, we use the formula P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts.

Rearranging the formula to solve for current, we get I = P / V. Plugging in the given values, we have:

I = 1,100 W / 110 V

Thus, the current required is 10 amperes.

You could express 48+32 by doing 50 + 30 because your adding 2 to the 48 and subtracting 2 from the 32 so that’s not how you could express that.

You could express it by using negatives.

-1(-48-32)

-1(-80)

80

The orginal was:

48+32

=80

Answer: (4 x 5)÷(2 + 8)

Step-by-step explanation:

The product is multiplied so the product of 4 and 5 is 20

The sum is adding so the sum of 2 and 8 is 10

Then it wants you to divide them. The 4 * 5 and 2 + 8 are in parenthesis because they are done first.

Answer:$400

Step-by-step explanation:

Because, if she spent ONLY 1/5 of her money, and she has $80 left, wouldn't you basically have to multiply 5 with 80 to get the original amount of money?

Answer:

$100

Step-by-step explanation:

If Maryna had $80 after spending 1/5, we know she has 4/5 left. Then, we divide 80 by 4/5. To divide a fraction, we multiply the number by rhe reciprocal. So, we multiply 80/1 by 5/4. 80 multiplied by 5 is 400, and divided by 4 is 100. This is how we get an original amount of $100.

I hope this helps. Good luck, I was in the same boat not too long ago.

the constant of variation or namely its slope will be

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{30}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{30-18}{5-3}\implies \cfrac{12}{2}\implies 6[/tex]

Answer:

hopes this helps

Step-by-step explanation:

this is a tricky one here

40x X 22= $880

second week

40x X 29=1,160

Answer: Our equation becomes,

[tex]y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40[/tex]

Step-by-step explanation:

Let the number of hours she works for be 'x'.

Let the number of dollars she will be paid in week be 'y'.

Cost per hour for first 40 hours = $22

Cost per hour for over 40 hours = $29

We need to model the piece-wise equation for her total pay in week.

So, our equation becomes,

[tex]y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40[/tex]