1/5 divided by N equals 1/3

Option A

The equation [tex]4x^2 - 3x + 1 = 0[/tex] has two imaginary solutions

Solution:

Given that we have to determine the type and number of solutions of given quadratic equation

[tex]4x^2 - 3x + 1 = 0[/tex]

[tex]\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation

In the case of a quadratic equation [tex]ax^2 + bx + c = 0[/tex], the discriminant is [tex]b^2 -4ac[/tex]

[tex]\text{If } b^{2}-4 a c=0 ;$ then the given quadratic equation has one real root\\\\If b^{2}-4 a c>0,$ then the given quadratic equation has two real roots[/tex]

If [tex]b^2-4ac<0[/tex], then the given quadratic equation has two imaginal roots which are complex conjugates

Given quadratic equation is:

[tex]4x^2 - 3x + 1 = 0[/tex]

Here a = 4 and b = -3 and c = 1

The discriminant is given as:

[tex]b^2 - 4ac = (-3)^2 - 4(4)(1) = 9 - 16 = -7\\\\b^2 - 4ac = -7\\\\b^2-4ac < 0[/tex]

Therefore the given equation has two imaginary solutions

Answer:

two imaginary solutions

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

Given the perimeter then the third side is the perimeter subtract the sum of the 2 given sides, that is

third side

= 4x + 3y - (x - y + x + y)

= 4x + 3y - 2x ← collect like terms

= 2x + 3y

(2)

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 2x + 6 and h = x - 2, thus

A = [tex]\frac{1}{2}[/tex](2x + 6)(x - 2) ← expand factors using FOIL

   = [tex]\frac{1}{2}[/tex](2x² + 2x - 12) ← distribute

   = x² + x - 6 ← in standard form

Answer:

I thinks its r = 11

Step-by-step explanation:

So you just need to take the number to the r and multipliy it by r So,

9x2=18

then minus it by the other number which would Be 7 so.

18-7=11

Answer:

11

Step-by-step explanation:

(-9 times 2) - 7

18 - 7

11

Answer:-18

Step-by-step explanation: if f(x)= -9x

And x =2

-9(2)

= -18

Answer:

f(-2)=-18

Step-by-step explanation:

given f(x)=9x...........(1)

put x=-2 in equation (1)

f(-2)=[tex]9\times(-2)[/tex]

f(-2)=-18 answer

Answer:

Italy Time is in the Central European Time Zone . Central European Standard Time ( CET ) is 1 hours ahead of Greenwich Mean Time ( GMT+1 ).

Step-by-step explanation:

Central European Time Zone

Italy's time zone is one hour ahead of GMT (Greenwich Mean Time), so if it is 1 PM GMT, it would be 2 PM in Italy. This reflects the Time Zone Difference concept.

If Italy's time zone is GMT + 1, and it is currently 1 PM GMT, then the time in Italy would be 2 PM. This is due to the fact that Italy is one hour ahead of GMT (Greenwich Mean Time). Therefore, to convert from GMT to Italy's time zone, one simply needs to add one hour. For example, if it was 5 PM in GMT, it would be 6 PM in Italy, and so on. This concept is referred to as Time Zone Difference.

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Answer:

1915 miles more to drive to complete their trip.

Step-by-step explanation:

Given:-

Total distance to travel (D) = 2598 miles.

Distance travelled (d) = 683 miles.

To calculate = remaining distance (r) to complete trip.

Remaining distance = Total distance minus Distance travelled

i.e.  [tex]r=D-d[/tex]

[tex]r=2598-683[/tex]

[tex]r=1915\ miles[/tex]

Therefore kalsbeeks have to travel 1915 miles more to complete their trip.

Picture 1: The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads [tex]\frac{3}{8}[/tex] books per week.

Picture 3: 80% is equal to [tex]\frac{4}{5}[/tex].

Step-by-step explanation:

Picture 1: Veena ate lunch at a deli. She ordered turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal.

Given,

Price of turkey sandwich = $9.25

Price of salad = $4.35

Total amount = 9.25+4.35 = $13.60

Tax = 7.5%

Amount of tax = 7.5% of total cost

Amount of tax = [tex]\frac{7.5}{100}*13.60[/tex]

Amount of tax = [tex]\frac{102}{100} = \$1.02[/tex]

The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads 1/4 book every 2/3 week.  How many books does Christian read per week?

Given,

Books read every 2/3 weeks = 1/4 books

[tex]\frac{2}{3}\ weeks=\frac{1}{4}\ books\\[/tex]

For determining the number of books read per week, we will multiply both sides by [tex]\frac{3}{2}[/tex]

[tex]\frac{3}{2}*\frac{2}{3}\ week=\frac{1}{4}*\frac{3}{2}\ books\\\\1\ week = \frac{3}{8}\ books\\\\[/tex]

Christian reads [tex]\frac{3}{8}[/tex] books per week.

Picture 3: What percent is equivalent to [tex]\frac{4}{5}[/tex]?

We will multiply the given fraction with hundred for calculating the percentage.

[tex]\frac{4}{5}*100\\\\\frac{400}{5}\\\\80\%[/tex]

Therefore,

80% is equal to [tex]\frac{4}{5}[/tex].

Keywords: percentage, division

Learn more about percentages at:

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Answer:

The volume of the shipping box is [tex]V=27\ in^3[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

The volume of the triangular prism is equal to

[tex]V=BH[/tex]

where

B is the area of the triangular base

H is the height of the prism

In this problem we have

[tex]H=9\ in[/tex]

Find the area of the triangular base B

[tex]B=\frac{1}{2}bh[/tex]

we have

[tex]b=3\ in\\h=2\ in[/tex]

substitute

[tex]B=\frac{1}{2}(3)(2)=3\ in^2[/tex]

Find the volume of the triangular prism

[tex]V=BH[/tex]

we have

[tex]B=3\ in^2[/tex]

[tex]H=9\ in[/tex]

substitute

[tex]V=(3)(9)=27\ in^3[/tex]

Answer:

y = 5x + 4

Step-by-step explanation:

y - 4 = 5(x - 0)

That is point-slope form. I'm not sure if you want it in slope intercept form, but slope intercept form of the equation is -

y = 5x + 4

Answer:

Step-by-step explanation:

thx i needed this

Answer:

it's -1/2

Step-by-step explanation:

you need to go half way between 0 and -1 and that's -1/2

Answer:

-0.5 or -1/2

Step-by-step explanation:

You can solve using operations or with a number line.

To find the value halfway between two numbers, add the two numbers and divide the sum by 2.

Q = (0 + -1)/2

Q  = (0 - 1)/2

Q = -1/2

Q = -0.5

Number line:

<- (-1) --------- (-0.5) ---------- 0 ----------- (0.5) --------- (1) ->

Find halfway between 0 and 1.

Q = -0.5

with an expression like 3x6 you can separate parts of the expression using parentheses like: 3(2+4)

you can find ways to separate a variable (like 6) into a sum of two addends

ex 1+5

0+6

3+3

so a distributive version of 3x6 is 3(2+4) = (3x2) + (3x4)

To prove congruence by SSS, two statements are needed about equal sides: AC―――― ≅ ED―――― and DE―――― ≅ BC――――. A third unlisted statement equating the other sides is also required.

To prove two triangles are congruent using the Side-Side-Side (SSS) Postulate, we need to establish that all three corresponding sides of the triangles are equal in length. Statement B indicates that AC―――― ≅ ED――――, which provides one pair of corresponding sides. Statement C suggests that DE―――― ≅ BC――――, providing a second pair of corresponding sides. Lastly, if we had information that AB―――― = DF――――, not provided in the options but necessary to complete the SSS congruence, then we could establish the congruence of the two triangles. Therefore, the statements needed for SSS congruence proof are options B and C, along with an unlisted statement that equates the third pair of corresponding sides.

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The total length of this line is 15 units. FG is 6 units long.

This means that the probability of p being on FG would be [tex]\frac{6}{15}[/tex] which can be simplified to [tex]\frac{2}{5}[/tex]

Answer:

2/5

Step-by-step explanation:

Line EH has three line segments:

EF which measure 4

FG which measures 6

GH which measures 5

The total measure of the line (EH) = 4 + 6 + 5 = 15

So if we are calculating the probability of landing on FG,

6 / 15

Reduce the fraction to make,

2 / 5

Answer:

e) Shamika= 224 balloon, Crystal= 112 balloon, Aliya= 114 Balloon.

f)  We know,Crystal sold "b" balloon

           Aliya sold (b+2) balloon

          Shamika sold 2b balloon.

As per data given in question part c that each balloon cost $2 and Total cost of balloon is $900.

Now, solving to find how much each student sold balloon at school´s winter dance.

As we know total cost is $900 and each balloon cost is $2.

∴ Total cost= [tex]Total\ quantity \times cost\ of\ each\ unit[/tex]

Total quantity= [tex]{b+(2+b)+2b}[/tex]

∴ [tex]\$ 900= {b+(2+b)+2b}\times \$ 2[/tex]

Once we solve, we will get the value of b as 112 balloon, which is the number of balloon sold by Crystal.

Substituting the value of b in the equation of Aliya and Shamika, we will get the number of balloon sold by them.

Which is 114 and 224 respectively.

Step-by-step explanation:

Given: Crystal sold "b" balloon

           Aliya sold (b+2) balloon

          Shamika sold 2b balloon.

As per data given in question part c that each balloon cost $2 and Total cost of balloon is $900.

Now, solving to find how much each student sold balloon at school´s winter dance.

As we know total cost is $900 and each balloon cost is $2.

∴ Total cost= [tex]Total\ quantity \times cost\ of\ each\ unit[/tex]

Total quantity= [tex]{b+(2+b)+2b}[/tex]

∴ [tex]\$ 900= {b+(2+b)+2b}\times \$ 2[/tex]

Opening the parenthesis.

⇒[tex]\$ 900= (b+2+b+2b)\times \$ 2[/tex]

⇒[tex]\$ 900= 2+4b \times 2[/tex]

Dividing both side by 2

⇒ [tex]\$ 450= 2+4b[/tex]

Subtracting both side by 2

⇒ [tex]\$ 448= 4b[/tex]

Cross multiplying

∴[tex]b= \frac{448}{4} = 112[/tex]

∴ b= 112.

Hence, we can say Crystal have sold 112 balloons.

Next subtituting the  value of "b" in the equation for Aliya and Shamika to get number of balloon they have sold.

We know, Aliya sold b+2 balloons

∴ Aliya sold= [tex]112+2= 114\ balloon[/tex]

Aliya sold 114 balloon.

We know, Shamika sold 2b balloons

∴[tex]2\times 112= 224 balloon.[/tex]

Shamika sold 224 balloon.

Answer:

440 pounds

Step-by-step explanation:

Ratio is basically "parts".

We have ratio of 4:3:4, that is a total of 4 + 3 + 4 = 11 parts

The apple is 4 parts and total amount is 160 pounds. So each "part" is:

160/4 = 40 pounds

The total pounds of all 3 fruits is 11 parts * 40 pounds per part = 11 * 40 = 440 pounds

hence,

Truckload of fruits weigh at 440 pounds

Answer:

yes

what grade

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

7(x)-7(3)=56

7x-21=56

7x-21+21=56+21

7x=77

7x/7=77/7

x=11

Answer:

[tex]3a^4[/tex]

Step-by-step explanation:

What is the cube root of  [tex]27a^{12}[/tex]? This is the question.

We can write:

[tex]\sqrt[3]{27a^{12}}[/tex]

We will use the below property to simplify:

[tex]\sqrt[n]{a*b}=\sqrt[n]{a}  \sqrt[n]{b}[/tex]

So, we have:

[tex]\sqrt[3]{27a^{12}} =\sqrt[3]{27} \sqrt[3]{a^{12}}[/tex]

We will now use below property to further simplify:

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

Thus, we have:

[tex]\sqrt[3]{27} \sqrt[3]{a^{12}} =3*(a^{12})^{\frac{1}{3}}[/tex]

We know power to the power rule:  [tex](a^z)^b=a^{zb}[/tex]

Now, we have:

[tex]3*(a^{12})^{\frac{1}{3}}\\=3*a^{\frac{12}{3}}\\=3a^4[/tex]

This is the correct answer:  [tex]3a^4[/tex]

Answer:

11

Step-by-step explanation:

- 7 + 8 = 11 and the absolute value of 11 is 11

Answer:

t = 3h

Step-by-step explanation:

Given

h = [tex]\frac{1}{3}[/tex] t

Multiply both sides by 3 to clear the fraction

3h = t

(a) m=6h+15 can be used to find the total amount of money for h hours of babysitting.

(b) After 6 hours of babysitting, Scott will have $51.00

Step-by-step explanation:

Given,

Amount Scott has = $15.00

Per hour amount of babysitting = $6.00

a) Write an equation for the amount of money (m) Scott has after a number of hours babysitting (h).

Total amount of money = m

Number of hours babysitting = h

Total amount of money = Per hour earning from babysitting*Number of hours + Amount Scott has

[tex]m=6h+15[/tex]

m=6h+15 can be used to find the total amount of money for h hours of babysitting.

b) After how many hours of babysitting will Scott have $51.00?

Putting m = 51

[tex]51=6h+15\\51-15=6h\\36=6h\\6h=36[/tex]

Dividing both sides by 6

[tex]\frac{6h}{6}=\frac{36}{6}\\h=6[/tex]

After 6 hours of babysitting, Scott will have $51.00

Keywords: linear equation, division

Learn more about division at:

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Answer:

(12-7x)

Step-by-step explanation:

144 − 49x²

by observation, we can see that 144 = 12² and 49 = 7²

hence we can rewrite the equation

144 − 49x²

= 12² - 7²x²

= 12² - (7x)²

recall that the expression x² - y² = (x+y)(x-y)

hence,

12² - (7x)²

= (12 + 7x)(12-7x)

(12-7x) appears in the expression above, hence 12 -7x is a factor

Answer:

Answer is C

Step-by-step explanation:

He could have scored 7, 14, 21, 28, 35, or 42 points (all multiples of 7 less than 45).

answer: B

Answer:

The length of side j is 11.85cm

Step-by-step explanation:

Given that

In triangle JKL,

[tex]\angle k=15[/tex]

[tex]\angle l=41[/tex]

Side k=LJ=3.7cm

To find side j=KL:

By using sine rule,

We can write as

[tex]\frac{SinK}{LJ} = \frac{SinL}{JK} = \frac{SinJ}{KL} \\\frac{Sin15}{3.7} = \frac{Sin41}{JK} = \frac{SinJ}{KL}[/tex]

Using property of triangle,

[tex]\angle k+\angle l+\angle j=180[/tex]

[tex]15+41+\angle j=180[/tex]

[tex]\angle j=124[/tex]

[tex]\frac{Sin15}{3.7} = \frac{Sin41}{JK} = \frac{Sin124}{KL}\\\frac{Sin15}{3.7} = \frac{Sin124}{KL}\\KL=3.7\frac{Sin124}{Sin15}\\KL=3.7\frac{0.8290}{0.2588}\\KL=11.85cm[/tex]

Thus,

The length of side j is 11.85cm

Answer: 11.9

Step-by-step explanation:

nearest 10th you have to round it

Answer:

24 hours in first week and 29 hours in second week.

Step-by-step explanation:

Given: Orlando work at $6/h in first week and at $7/h in second week.

           Total earning is $347 in both weeks.

Let the number of hours Orlando work in first week be`x` hours

∴ working hours in second week is (x+5) hours

Now, solving to find the number of working hours.

⇒ Total earning= earning in first week+earning in second week.

⇒ [tex]\$ 347= x\times 6+(x+5)\times 7[/tex]

Opening the parenthesis and solving it.

⇒ [tex]\$ 347= 6x+7x+35[/tex]

Subtracting both side by 35

⇒ [tex]312= 13x[/tex]

∴ x= [tex]\frac{312}{13} = 24\ h[/tex]

∴ Working hours in first week is 24 hours

   Working hours in second week is [tex]24+5= 29\ h[/tex]

Answer:

T=50+86.49N

Step-by-step explanation:

you just have to combine A and B.

Total (T)=A(50+30.65N)+B(55.85N) thank just open the prentices and add 30.65N and 55.85N=86.49N. so total is initial savings+ weekly savings by both.

Answer: z = 70

Explanation: To solve this proportion for z, we can use cross products.

*Image provided.*

When we get the equation 5z = 350, we can get z by itself on the left side of the equation by dividing both sides of the equation by 5. On the left, the 5's cancel each other out and we have z. On the right, 350 divided by 5 simplifies to 70 so we have z = 70.

Answer:

z = 75

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

28/2=14

16+14=30

30-6=24

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

4*2=8

10-8=2

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

24/2=12

Answer:

The actual length in feet of the car is 48 feet.

Step-by-step explanation:

Given:

Tiffany sketched a picture of a car she used the scale 2 inches : 12 feet.

In her sketch the car is 8 inches long.

Now, to find the length in feet of the actual car.

Let the actual length of car in feet be [tex]x\ feet.[/tex]

And the length of car in her sketch is 8 inches.

Thus, 8 inches is equivalent to [tex]x\ feet[/tex].

So, the ratio of the scale used by Tiffany as given is 2 inches : 12 feet.

Thus, 2 inches is equivalent to 12 feet.

Now, to get the actual length of car by using cross multiplication method:

[tex]\frac{2}{12} =\frac{8}{x}[/tex]

By cross multiplying we get:

⇒  [tex]2x=96[/tex]

Dividing both sides by 2 we get:

⇒  [tex]x=48[/tex]

⇒  [tex]x=48\ feet.[/tex]

Therefore, the actual length in feet of the car is 48 feet.