help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!

Help Meeeeeeeeeeeeeeeeeeee Pleaseee Rnnnn Rn!!!!

Answers

Answer 1

The length of short side x is 4.5 units, the length of short side x+5 is 9.5 units and the length of longest side is 10.5 units.

By Pythagorean theorem,

[tex]( Hypotenuse)^{2} = (Base)^{2}+ (Perpendicular)^{2}[/tex]

Let                base = x+5

     perpendicular = x

        Hypotenuse = x+6

                                    [tex](x+6)^{2} = x^{2} +(x+5)^{2}[/tex]

                           [tex]x^{2} +12x+36 = x^{2} +x^{2}+10x+25[/tex][tex]2x^{2} +10x+25-x^{2} -12x-36=0[/tex]

                             [tex]x^{2} -2x-11=0[/tex]

                                               [tex]x = \frac{-(-2) + \sqrt{4 - 4(1)(-11)} }{2*1}[/tex] or [tex]\frac{-(-2) - \sqrt{4 - 4(1)(-11)} }{2*1}[/tex]

                                               [tex]x=\frac{2 + \sqrt{4 +44} }{2}[/tex] or  [tex]\frac{2 - \sqrt{4 +44} }{2}[/tex]

                                               [tex]x = \frac{2 + \sqrt{48} }{2}[/tex] or [tex]\frac{2 - \sqrt{48} }{2}[/tex]

                                               [tex]x = \frac{2+2\sqrt{12} }{2}[/tex] or [tex]\frac{2-2\sqrt{12} }{2}[/tex]

                                               [tex]x = 1+\sqrt{12}[/tex] or [tex]1-\sqrt{12}[/tex]

                                               [tex]x = 1+3.5[/tex] or [tex]1-3.5[/tex]

                                               [tex]x = 4.5[/tex] or [tex]-2.5[/tex]

As, length can't be negative, we will take x = 4.5

Therefore, x = 4.5

            x + 5 = 4.5 + 5

                      = 9.5

             x + 6 = 4.5 + 6

                       = 10.5

Hence, the length of short side x is 4.5 units, the length of short side x+5 is 9.5 units and the length of longest side is 10.5 units.

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Related Questions

may you please help me! Whether you can help or not I hope you are doing amazing!!the instructions at the top fully say " use the compass and straightedge to construct a segment congruent to WX with endpoint P."

Answers

Step Guide:

Step 1: Place your compass at W and extend it to X.

Step 2: Using the same length, place your compass at P and mark an arc.

Step 3: Using the straightedge, draw a line from P to meet the arc.

Step 4: Label the point of intersection of the line and the curve Q.

This gives segment PQ that is congruent to WX,

which of the following could be the distant of Allyson's map

Answers

The real distance from Mumbai to Bangalore is 845 km.

The real distance from Mumbai to Dehli is 1160 km.

Allyson has made a map in which distance is in cm and is proportional to the real distance.

Since the real distance and the distance on the map are proportional then their ratio must be equal.

Let us compare the ratio of real distance with the distance in given options.

Option A:

Bangalore to Mumbai = 116.5 cm

Mumbai to Dehli = 174 cm

[tex]\begin{gathered} \frac{845}{1160}=\frac{116.5}{174} \\ 0.728\ne0.669 \end{gathered}[/tex]

As you can see, the ratio is not equal so this is wrong.

Option B:

Bangalore to Mumbai = 42.25 cm

Mumbai to Dehli = 58 cm

[tex]\begin{gathered} \frac{845}{1160}=\frac{42.25}{58} \\ 0.728=0.728 \end{gathered}[/tex]

As you can see, the ratio is equal so this is correct.

Option C:

Bangalore to Mumbai = 23.4 cm

Mumbai to Dehli = 29 cm

[tex]\begin{gathered} \frac{845}{1160}=\frac{23.4}{29} \\ 0.728\ne0.807 \end{gathered}[/tex]

As you can see, the ratio is not equal so this is wrong.

Option D:

Bangalore to Mumbai = 16.9 cm

Mumbai to Dehli = 23.2 cm

[tex]\begin{gathered} \frac{845}{1160}=\frac{16.9}{23.2} \\ 0.728=0.728 \end{gathered}[/tex]

As you can see, the ratio is equal so this is correct.

Option E:

Bangalore to Mumbai = 25.35 cm

Mumbai to Dehli = 34.8 cm

[tex]\begin{gathered} \frac{845}{1160}=\frac{25.35}{34.8} \\ 0.728=0.728 \end{gathered}[/tex]

As you can see, the ratio is equal so this is correct.

Therefore, the following can be the possible distances on Allyson's map

Option B

Option D

Option E

help pleaseee !!

thank you !!!!!

Answers

The value of x for the given figure is 7.

According to the question,

We have the following information:

We have a figure where two parallel lines are cut by another line. Some of the measurements of angles are given.

Now, we know that angle made on a straight line is 180°.

So, we have the following expression:

∠4+118 = 180

∠4 = 180-118

∠4 = 62°

Now, we know that alternate interior opposite angles are equal. In this case, ∠4 and (8x+6) are alternate interior opposite angles.

(8x+6) = m∠4

8x+6 = 62

Subtracting 6 from both the sides:

8x = 62-6

8x = 56

x = 56/8

x = 7

Hence, the value of x for the given figure is 7.

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your gross income is 4520.00 your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. How much is the total interest earned between both accounts in 60 days?

Answers

The total interest earned between both accounts in 60 days is $92.01.

What is the interest?

Given gross income = $4520/ month

Deductions = FICA+federal withholding + state with holding

Deductions = 7.65%+ 11.75%+8.5%= 27.9%

Total deductions = 27.9% of 4520= $1261.08

Net income = Gross income - Deductins = 4520-1261.08= $3258.92

Now 30 % of these are fixed expenses

Fixed expenses = 30% of 3258.92= $977.676

Amount left for month = 3258.92-977.676= $2281.244

5 months worth = 5*2281.244= $11406.22

Total money in the emergency fund = $11406.22

Since 75% in CD, amount imvested = 75% of 11406.22= 8554.665

APR= 5.25%

Number of days = 60

A= P*(1+r) ^n

Assuming they compound daily

r= 0.0525/365= 0.0001438

n= 60

A= 8554.665*(1+0.0001448) ^60

A= $8628.81

Regular savings:

25% in RS, Amount invested = 25% of 11406.22= 2851.55

APR= 3.8%

Number of days = 60

A= P*(1+r) ^n

Assuming they compound daily

r= 0.038/365= 0.0001041

n= 60

A= 2851.55*(1+0.0001041) ^60

A= $2869.42

Total interest earned = (2869.42+8628.81) -11406. l22

= $92.01

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#11 i
Solve 7w-9=13 - 4w.
W =

Answers

Answer:

w=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7w−9=13−4w

7w+−9=13+−4w

7w−9=−4w+13

Step 2: Add 4w to both sides.

7w−9+4w=−4w+13+4w

11w−9=13

Step 3: Add 9 to both sides.

11w−9+9=13+9

11w=22

Step 4: Divide both sides by 11.

11w/11=22/11

w=2

find the area of 2 1/2 units * 2 units

Answers

Answer:

5 square units

Explanation:

Emma's Rectangle is:

• 2½ units long.

,

• 2 units wide.

[tex]\begin{gathered} \text{Area}=2\frac{1}{2}\times2 \\ =\frac{5}{2}\times2 \\ =5\text{ units}^2 \end{gathered}[/tex]

Answer: its 5

Step-by-step explanation:

19) Given that f(x)x² - 8x+ 15x² - 25find the horizontal and vertical asymptotes using the limits of the function.A) No Vertical or Horizontal asymptotesB) No Vertical asymptotesHorizontal asymptote aty - 1Vertical asymptote at x = 5Horizontal asymptote at y = 1D) Vertical asymptote at x = -5Horizontal asymptote at y = 1

Answers

EXPLANATION

Since we have the function:

[tex]f(x)=\frac{x^2-8x+15}{x^2}[/tex]

Vertical asymptotes:

[tex]For\:rational\:functions,\:the\:vertical\:asymptotes\:are\:the\:undefined\:points,\:also\:known\:as\:the\:zeros\:of\:the\:denominator,\:of\:the\:simplified\:function.[/tex]

Taking the denominator and comparing to zero:

[tex]x+5=0[/tex]

The following points are undefined:

[tex]x=-5[/tex]

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

[tex]\mathrm{If\:denominator's\:degree\:>\:numerator's\:degree,\:the\:horizontal\:asymptote\:is\:the\:x-axis:}\:y=0.[/tex][tex]If\:numerator's\:degree\:=\:1\:+\:denominator's\:degree,\:the\:asymptote\:is\:a\:slant\:asymptote\:of\:the\:form:\:y=mx+b.[/tex][tex]If\:the\:degrees\:are\:equal,\:the\:asymptote\:is:\:y=\frac{numerator's\:leading\:coefficient}{denominator's\:leading\:coefficient}[/tex][tex]\mathrm{If\:numerator's\:degree\:>\:1\:+\:denominator's\:degree,\:there\:is\:no\:horizontal\:asymptote.}[/tex][tex]\mathrm{The\:degree\:of\:the\:numerator}=1.\:\mathrm{The\:degree\:of\:the\:denominator}=1[/tex][tex]\mathrm{The\:degrees\:are\:equal,\:the\:asymptote\:is:}\:y=\frac{\mathrm{numerator's\:leading\:coefficient}}{\mathrm{denominator's\:leading\:coefficient}}[/tex][tex]\mathrm{Numerator's\:leading\:coefficient}=1,\:\mathrm{Denominator's\:leading\:coefficient}=1[/tex][tex]y=\frac{1}{1}[/tex][tex]\mathrm{The\:horizontal\:asymptote\:is:}[/tex][tex]y=1[/tex]

In conclusion:

[tex]\mathrm{Vertical}\text{ asymptotes}:\:x=-5,\:\mathrm{Horizontal}\text{ asymptotes}:\:y=1[/tex]

Which equations represent a linear function? Select two. a. y = x-1 b. y = – 4.5 C. 3x – 4y = 2 d. 5x2 = 10y e. y = 1/2x2 +6

Answers

[tex]\begin{gathered} a)y=x-1 \\ c)3x-4y=2 \end{gathered}[/tex]

Explanation

a linear function must have

dependent and independent variables, ( y and x in this case)and the exponent of the independent vairable must be 1, so

Step 1

Check

a)

[tex]a)\text{ y=x-1}[/tex]

this is a linear function

b)

[tex]y=4.5[/tex]

this is not a functin, this expression has not x

c)

[tex]3x-4y=2[/tex]

this functin has x and y, and the exponent of x is 1, so, this is a linear function

d)

[tex]5x^2=10y[/tex]

this function has x and y, but the exponent is 2, so this is not a linear function

e)

[tex]y=\frac{1}{2}x^2+6[/tex]

this function has x and y, but the exponent is 2, so this is not a linear function

i hope this helps you

At the local pizzeria, a slice of pizza costs $3.00. if there are eight slices in one pizza . how much would two whole pizzas cost?

Answers

Answer:

48 dollars

Step-by-step explanation:

3 x 8 = 24

24 x 2 = 48

Two whole pizzas will cost forty-eight dollars

Answer:

48 dollars

Step-by-step explanation:

because for each slice is 3 dollars and there is 8 slices in 1 pizza so 8*3=24 so for 1 whole pizza its 24 dollars and because we want 2 we multiply it by 2 so 24*2= 48 so for 2 whole pizzas it equals 48 dollars.

A easier way, in 2 pizzas there is a total of 16 slices so 16*3= 48

11. What are the zeros for the following quadratic relation: *
y = 5x² - 1125
O x = 0
O x = 5,15
O x= -15,5
O x=-15, 15

Answers

Answer:

x=15,-15

Step-by-step explanation:

5x^2-1125=0

5x^2=1125

x^2=225

x=square root of 225

x=+15 or -15

This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of thepyramid to the volume of the prism?1A} volume of Pyramidvolume of priamB} volume of pyramidvolume of priuamC} volume of pyramidvolume of priimD} Volume of pyramidvolume of priem

Answers

This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the

pyramid to the volume of the prism?

1

A} volume of Pyramid

volume of priam

B} volume of pyramid

volume of priuam

C} volume of pyramid

volume of priim

D} Volume of pyramid

volume of

prime

____________________________________________

volume of the prism

9. Use the Distributive Property to solve the
equation 28-(3x+4)= 2(x+6) +x.


WITH SOLUTION please

Answers

Answer:

x=2

Step-by-step explanation:

T= 2

28 - (3æ+4) = 2(r + 6) + *

We need to use the distributive property for the

right side.

28 - 3z -4 = 2a + 12 + z

28 -3z -4 = (2) (æ) + (2)(6) + æ)

From here we need to subtract 3æ from both side.

-3æ + 24 -3 = 3æ + 12 – 3¢

3æ + 24 = 3z + 12

6z + 24 = 12

Transfer +24 on the right side. (P.S. don't forget to

change the sign)

62 = 12 - 24

6 = - 12

Finally, divide both sides by -6

6x/-6 = -13/-6

x=2

I hope I helped you

need help as soon as possible !!!!!!

Answers

The value of the variable x: 40

Angles of the polygon are :

3x = 120(2x + 10) = 90(2x + 5) = 85(2x - 15) = 65

What is Polygon?An Indian blockchain scalability platform is called Polygon. It addresses Ethereum's problems with excessive costs, a subpar user experience, and a meager number of transactions per second. Creating a framework for Proof of Stake transactions is one approach taken to overcome these problems.

Calculate the measure of angles as follows:

3x(2x + 10)(2x + 5)

And

(2x - 15)

Since we have,

Sum of angle measure = 360°

Thus: 3x + (2x + 5) + (2x + 10) + (2x - 15) = 360

Opening the brackets:

3x + 2x + 5 + 2x + 10 + 2x - 15 = 360

Adding the like terms:

9x + 15 - 15 = 3609x = 360x = 360/9x = 40

Hence, The measure of the variable is 40.

And the angle measures are:

3 x 40 = 120°(2(40) + 5) = 80 + 5 = 85°(2(40)+ 10) = 80 + 10 = 90°(2(40) - 15) = 80 - 15 = 65°

Therefore, the value of the variable x: 40

Angles of the polygon are :

3x = 120(2x + 10) = 90(2x + 5) = 85(2x - 15) = 65

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You pick a card at random without putting the 1st card back you pick a second card at random what is the probability of picking a 7 and then picking a 7

Answers

Given:

There are four cards numbered as

[tex]6,\text{ }7,\text{ }8,\text{ and }9.[/tex]

Required:

We have to find the probability of picking a 7 and then picking a 7.

Explanation:

When you pick the first card there are four possibilities out of which only one card is numbered as 7.

Therefore, the probability of picking a 7 is

[tex]\frac{1}{4}[/tex]

Before picking the second card you have put back the first card. So when you pick the second card there are four possibilities out of which only one card is numbered as 7.

Therefore, the probability of picking a 7 is

[tex]\frac{1}{4}[/tex]

Hence the probability of picking a 7 and then picking a 7 is

[tex]\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}[/tex]

Final answer:

Hence the final answer is

[tex]\frac{1}{16}[/tex]

Sketch a graph of the polynomial function f(x) = –x3 + 5x2 – 2x – 8. Use the graph to complete the following:f is __________ on the intervals (–∞, 1/3) and (3, ∞)f is __________ on the interval (1/3, 3)f is __________ on the intervals (–∞, -1) and (2, 4)

Answers

To sketch the graph, we need to find the x-intercepts and y-intercepts.

To find the x-intercepts we solve the equation when y = 0.

That is

[tex]-x^3+5x^2-2x-8=0[/tex][tex]\begin{gathered} f(-1)=-(-1)^3+5(-1)^2-2(-1)-8=1+5+2-8=0 \\ \text{Hence} \\ x=-1\text{ is a zero of f(x)} \\ \Rightarrow\text{ x+1 is a factor of f(x)} \end{gathered}[/tex]

Next, we find the result of :

[tex]\frac{f(x)}{x+1}[/tex][tex]\begin{gathered} So \\ \frac{-x^3+5x^2-2x-8}{x+1}=-x^2+6x-8 \end{gathered}[/tex]

Now we solve

[tex]\begin{gathered} -x^2+6x-8=0 \\ \Rightarrow-x^2+2x+4x-8=0 \\ \Rightarrow-x(x-2)+4(x-2)=0 \\ \Rightarrow(4-x)(x-2)=0 \\ \Rightarrow x=4\text{ or 2} \end{gathered}[/tex]

So the zeros of f(x) are -1, 2, and 4

Next, we find the stationary points.

[tex]\begin{gathered} \frac{df(x)}{dx}=-3x^2+10x-2 \\ \text{When }\frac{df(x)}{dx}=0,\text{ we have} \end{gathered}[/tex][tex]\begin{gathered} -3x^2+10x-2=0 \\ \text{Dividing through by -3 we have} \\ x^2-\frac{10}{3}x+\frac{2}{3}=0 \end{gathered}[/tex][tex]\begin{gathered} (x-\frac{5}{3})^2-(-\frac{5}{3})^2-2=0 \\ \Rightarrow(x-\frac{5}{3})^2=2+\frac{25}{9}=\frac{43}{9} \\ \Rightarrow x=\frac{5\pm\sqrt[]{43}}{3} \\ \Rightarrow x=2.55\text{ or }0.78 \end{gathered}[/tex][tex]\frac{d\frac{df(x)}{dx}}{dx}=-6x+10[/tex]

At x = 2.55

[tex]\frac{d\frac{df(x)}{dx}}{dx}=-6(2.55)+10=-5.3<0[/tex]

Hence we have a maximum point at x = 2.55

[tex]\frac{d\frac{df(x)}{dx}}{dx}=-6(0.78)+10=5.32>0[/tex]

Hence, there is a minimum point at x = 0.78

[tex]\begin{gathered} f(0.78)\text{ = }-6.99 \\ f(2.550=2.83 \end{gathered}[/tex][tex]\begin{gathered} To\text{ check the intervals where the function increasing or decreasing} \\ \text{For x < 0.78 } \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is positive} \\ \text{For 0.78 < x < 2.83 } \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is negative} \\ \text{For x > 2.83} \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is positive} \end{gathered}[/tex]

This implies that

f is increasing on the intervals (–∞, 1/3) and (3, ∞)

Solve the equation 5.9g + 4 = 3.9g + 12.

Answers

Rearranging an equation:

isolating for a variable (g)merge like terms and solveuse inverse operations

[tex]5.9g+4=3.9g+12[/tex]

[tex]5.9g-3.9g=12-4[/tex]

[tex]2g= 8[/tex]

[tex]\frac{2g}{2} = \frac{8}{2}[/tex]

[tex]g = 4[/tex]

g = 4

Answer:

g=4

Step-by-step explanation:

5.9g+4=3.9g+12

        -4           -4

5.9g= 3.9g+8

-3.9g -3.9g

2g=8

/2   /2

g=4

4. A garden sells flowers in trays. Each tray has 11 flowers on it. If the garden sells 124 trays, how many flowers did the garden sell in all?

Answers

A garden sells flowers in trays

each tray has 11 flowers on it

mathematically,

1 tray = 11 flowers

if the garden now sells 124 trays, then how many flowers do we have

1 tray = 11 flowers

124 trays = x flowers

cross multiplication

x * 1 = 124 x 11

x = 1364 flowers

,the answer is 1364 flowers 11 flowers

if the garden now sells 124 trays, then how many flowe

Javier biked 4 miles on Tuesday, 2 miles on Wednesday , and 7 miles on Saturday . if he hopes to bikes a total of 30 miles for the week , how many miles should Javier bike on Sunday

Answers

Answer:

Step-by-step explanation:

4 miles plus 2 miles equals 6 miles, then you add 7 miles to the 6 which equals 13, lastly you minus 13 from 30 then you get your answer, which is 17.

I just need to answer I'm trying to verify question

Answers

You have the following system of equations:

x + 3y = 1

y = 2x + 5

in order to solve the previous system, replace the expression y = 2x + 5, into the first equation and solve for x, as follow:

x + 3y = 1

x + 3(2x + 5) = 1 apply distribution property

x + 6x + 15 = 1 simplify lef side

7x + 15 = 1 subtrac 15 both sides

7x = 1 - 15

7x = -14 divide by 2 both sides

x = -14/2

x = -7

replace the previous value of x into the second equation to get y:

y = 2x + 5

y = 2(-7) + 5

y = -14 + 5

y = -9

Hence, the solution to the given system of equations is:

x = -7

y = -9

(-7 , -9)

where can I find L1 and L4 ? for missing alternate angles

Answers

Answer:

< 1 = 113.1 degrees

< 4 = 66.9 degrees

Explanation:

Alternate interior angles are equal

< 1 = < 3 = 113.1 degrees

< 2 = < 4 = 66.9 degrees

Factor the trinomial completely.3x2 - 13x - 10

Answers

3x2 - 13x - 10

multiplying the first and third terms we have

-30x2

The factors of -30 that will be added to get - 13 are -15 and 2

so we split the expression further

= 3x2 - 15x + 2x - 10

= 3x (x - 5) + 2 (x - 5)

= (x -5)(3x + 2)

There are two numbers that
multiply to 45 and combine to 18. Find
the two numbers, then the SMALLER
number is your answer for this question.

Answers

Answer: 3 x 15= 45, 3 + 15= 18, 3 is the smaller number

Step-by-step explanation:

1st find the factors of 45 then find which factors add to 18

-21x + 3 (-x-4) - 8x

Answers

Answer:

Step-by-step explanation:

-21x + 3(-x-4) -8x =
-21x -3x -12 - 8x=
-32x -12=
-32x = 12

X= -3/8

Don Williams wised his small motorboat to go 5 miles upstream to his favorite fishing spot. Against the current, the trip takes 5/6 hour. With the current the trip takes 1/2 hour. How fast can the boat travel in still water ? What is the speed of the current in still water the boat speed is __ mph. The speed of the current is ___ mph

Answers

let s = speed in still water

let c = rate of the current

then

(s-c) = effective speed up-stream

and

(s+c) = effective speed down-stream

Write a distance equation for each way; dist = time * speed

5/6*(s-c) = 5

1/2 *(s+c) = 5

Now we get rid of the fractions

5(s-c)=30

s + c = 10

5s - 5c = 30

s + c = 10

siplifying:

s - c = 6 (1)

s + c = 10 (2)

adding:

2s = 16, then s = 8

8 mph is the boat speed in still water

According with (2):

8 + c = 10, then c = 2

2 mph is the speed of the current

PLS HELP ME ASAP!! I WILL GIVE U BRAINLYEST!! NO LINKS!Frankie worked at the gas station for four months. He earned $4,800.00 andmust pay a total of 12% in income taxes. What is his net pay if there are noadditional deductions? A. 576.00B.5,376.00C.3,600.00D.4,224.00

Answers

Frankie worked at the gas station for four months. He earned $4,800.00 and

must pay a total of 12% in income taxes. What is his net pay if there are no

additional deductions?



A. 576.00

B.5,376.00

C.3,600.00

D.4,224.00​

we have that

12%=12/100=0.12

Multiply $4,800.00 by 0.12

$4,800.00*0.12=$576.00

answer is option A

What is 275 = 5 (1 - 6k)

Answers

Answer:k=-9

Step-by-step explanation:

275=5(1-6k)

55=1-6k

54=-6k

-9=k

Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2. To meet her quota, she needs to sell over 100 light bulbs and make at least $350.If the solution region is the amount of light bulbs Julia needs to sell to meet her quota, which graph's shaded area represents the solution region?

Answers

Given:

Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2.

Let the number of the fluorescent light bulbs = y

And the number of the incandescent light bulbs = x

To meet her quota, she needs to sell over 100 light bulbs and make at least $350.

So, we can write the following system of inequalities:

[tex]\begin{gathered} x+y>100 \\ 2x+5y\ge350 \end{gathered}[/tex]

Now, we will graph the system of the inequalities to find the area of the solution

The graph will be as follows:

So, the answer will be the graph that is on the upper right-side.

Graph x

Make g the subject
X = 3g + 2

Answers

Answer:

g = X - 2/3

Step-by-step explanation:

X = 3g + 2

Try to make g stand alone and collect the terms.

X - 2 = 3g

Divide both sides by the coefficient of g, which is 3

X - 2/3 = 3g/3

g = X - 2/3

Salma runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?

Answers

Answer:

The number of miles she would run in 44 minutes is;

[tex]4.8\text{ miles}[/tex]

Explanation:

Given that;

Salma runs 6 miles in 55 minutes;

The rate at which she run is;

[tex]\text{rate =}\frac{\text{ distance}}{\text{time}}=\frac{6}{55}miles\text{ per minute}[/tex]

At the same rate, the distance it will cover in 44 minutes is;

[tex]\begin{gathered} \text{time}=\frac{\text{distance}}{\text{rate}} \\ \text{distance}=\text{time}\times rate \\ \text{distance}=44\times\frac{6}{55} \\ \text{distance = 4.8 miles} \end{gathered}[/tex]

The number of miles she would run in 44 minutes is;

[tex]4.8\text{ miles}[/tex]

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Answers

Answer:

Okay

Step-by-step explanation:

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