A farmer sells 6.6 kilograms of apples and pears at a farmers market.4/5 of this weight is apples,the rest is pears.How many kilograms of pears did she sell at the famers market?

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have

We know that,

Therefore,

From the figure, we can conclude that :-

[tex]\bold{ 6x - 5 = 4x + 13 }[/tex]

[tex]\sf{ 6x = 4x + 13 + 5 }[/tex]

[tex]\sf{ 6x - 4x = 13 + 5 }[/tex]

[tex]\sf{ 2x = 18 }[/tex]

[tex]\sf{ x = }{\sf{\dfrac{18}{2}}}[/tex]

[tex]\bold{ x = 9 }[/tex]

Hence, The value of x is 9 .

Length of side QR

[tex]\sf{ = 6x - 5 }[/tex]

[tex]\sf{ = 6(9) - 5 }[/tex]

[tex]\sf{ = 54 - 5 }[/tex]

[tex]\bold{ = 49 }[/tex]

Length of side RS

[tex]\sf{ = 4x + 13 }[/tex]

[tex]\sf{ = 4(9) + 13 }[/tex]

[tex]\sf{ = 36 + 13 }[/tex]

[tex]\bold{ = 49 }[/tex]

From above we can say that,

A rhombus have all its side equal to each other . Therefore, the value of x in the rhombus QRST is 9

Therefore,

6x - 5 = 4x + 13

6x - 4x = 13 + 5

2x = 18

divide both sides by 2

2x / 2 = 18 / 2

x = 9

learn more on rhombus here: https://brainly.com/question/19199419

Answer: 47.5 cm^2

Step-by-step explanation:

Tony's mistake is that he added the area of the rectangle and triangle. Instead you should subtract the area of the triangle from the rectangle.

1. The area of the rectangle is 5*11 = 55 cm^2

2. The area of the nonshaded triangle is 5*3*(1/2) = 7.5 cm^2

3. The area of the shaded region is the area of the rectangle minus the area of the triangle. This equals 55 - 7.5 cm^2 = 47.5 cm^2

Answer should be:

y = -3x - 3

Answer:

The equation is y = - 3x - 3

Step-by-step explanation:

Step 1:

Equations always start with y = (unless you are in grade 11) in which case you start with f(x) =

Step 2:

Use rise over run to find the slope (since its based on graph, if not there is a formula to find it when given coordinate points only)

So to use rise over run, you count how many squares upwards starting from a point that aligns in the graph (in this case the bolded dots)

So you start at (-2, 3) and count how many squares up or down to the next bolded dot (if its up its positive, if you have to go down then its negative).

Then once youve reached the same y-value as the the other dot, count how many squares to the right.

So in this case, you have to go down 6 times and right 2 times.

So as a fraction its -6/2 but that can be simplified to just -3

So thats the slope: -3

Step 3

then you need to find the y-intercept (where the line touches the y-axis)

Its easy: you can visually see that the line crosses at -3.

and the format for the equation is y = mx + b

m = slope

b= y-intercept

SO: y= -3x - 3

Brainliest?

Answer:

20/27

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 60 and 81 is 3

Divide both the numerator and denominator by the GCD

60 ÷ 3

----------

81 ÷ 3

Reduced fraction:

20/27

Therefore, 60/81 simplified to lowest terms is 20/27.

hope that helps.

Answer:

The simplified fraction form is [tex]\frac{20}{27}[/tex].

Step-by-step explanation:

[tex]\frac{60}{81} = \frac{20}{27}[/tex]

The total of people in the Cinco de Mayo parade if there are 140 dancers and these represent the 35% is 400.

This information can be known by using the information given about the dancers and a rule of three.

In this case, we know 140 dancers are equal to 35%. This means:

140 = 35 %

 x    = 100 %

x= 140 x 100 = 35

x= 14000 / 35 = 400

This means 400 are the total people in the parade.

Learn more about Cinco de Mayo in https://brainly.com/question/440893

Answer:

(3 laps / minute) (9 minutes) = 27 laps

Step-by-step explanation:

my dad help me out on this one a while ago here you go :)

Answer: 27 i think

Step-by-step explanation: hope i got it right

Answer:

Table A

Step-by-step explanation:

Table A doesn't have a constant rate of change because the y values don't increase constantly for each value of x. Hope this helps!!

Ibrahim

Answer:

the correct answer is option A

Step-by-step explanation:

as it doesn't has a constant change.

Answer:

factor and get 4 ( 3x + 2y )

Step-by-step explanation:

4 x 3 is 12 and 4 x 2 is 8

Answer: 5,356 is the right asnwer

Step-by-step explanation: I did the paper hope this helps :)

Answer:

x=45

y=6

Step-by-step explanation

Answer:

72%

Step-by-step explanation:

18/25 x 4= 72/100

=72%

Answer:

72%

Step-by-step explanation:

To convert fractions into percentages we could change to decimal and then multiply by 100 but it would be easier to just make the fraction's denominator to 100 by finding an equivalent fraction:

18/25 = 18×4/25×4

72/100

So 72% of students have a pet

Answer: 1.4 min per min

Step-by-step explanation: sorry if wrong

Answer:

x = 12, y = 9, z = 11

Step-by-step explanation:

(3 x 5)^4 x (2 x 3)^5 x (2 x 5)^7

= 3^4 x 5^4 x 2^5 x 3^5 x 2^7 x 5^7

= 2^(5 + 7) x 3^(4 + 5) x 5^(4 + 7)

= 2^12 x 3^9 x 5^11

so x = 12, y = 9, z = 11

Answer:

1: y=-2x+5

Step-by-step explanation:

When two lines are parallel, the slopes are equivalent.

First, you have to turn 2x+y=7 into standard form.

2x+y=7

y=-2x+7

The slope is -2 so then you find an answer choice with -2 as the slope.

Turn all the answers into standard form first:

2: x+2y=4

2y=-x+4

y=-1/2x+4  Not choice 2 since the slope is -1/2.

3: y-2x=2

y=2x+2 Not choice 3 because the slope is positive 2.

Therefore, choice 1 is parallel to equation 2x+y=7.

Answer:

value of a is -19

value of b is 10

Step-by-step explanation:

Given

p(x) = 6x³ + ax² + 9x + b

Since it is given (x-2) & (2x-1) are the factors of given polynomial p(x) .

So, x = 2 & x = -1/2 are the solutions of given polynomial .

when x = 2

p(2) = 6(2)³ + a(2)² + 9 (2) + b = 0

p(2) = 6×8 + 4a + 18 + b = 0

p(2) = 48 + 4a + 18 + b = 0

p(2) = 66 + 4a + b = 0

4a + b = -66 -------(i)

Now ,

when x = -½

p(-½) = 6(-½)³ + a (-½)² + 9(-½) + b = 0

6 × (-⅛) + a/4 - 9/2 + b = 0

-3/4 + a/4 - 9/2 + b = 0

-3 + a -18+4b/4 = 0

-21 + a + 4b = 0

a + 4b = 21 -------(ii)

Now, multiplying the equation (ii) by 4 we get

4a + 16b = 84 -----(iii)

Substracting equation (i) from (iii) we obtain

15b = 150

b = 150/15

b = 10

Now, putting the value of b = 10 in equation (ii) we get

a + 40 = 21

a = 21-40

a = -19

So, the required value of a & b are 10 & -19 respectively .

Answer:

Captain salamander travels world

He travels In plane =1/4

Whole world = 1/4 -Travel distance in boat

1 or 4/4 = 1/4 - Boat

4/4 - 1/4 = BOAT

3/4 = DISTANCE TRAVELLED IN BOAT

Step-by-step explanation:

Answers:

[tex]i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\[/tex]

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

Explanation:

By definition, [tex]i = \sqrt{-1}[/tex]

Squaring both sides gets us [tex]i^2 = -1[/tex]

Then multiply both sides by i to get [tex]i^3 = -i[/tex]

Repeat the last step and you should get [tex]i^4 = -i^2 = -(-1) = 1[/tex]

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

Notice we have this pattern going on:

[tex]i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\[/tex]

Once we reach i^4, we start the process over again.

It repeats every 4 terms.

This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

157/4 = 39 remainder 1

That remainder 1 is the exponent of the simplified term

[tex]i^{157} = i^1 = i[/tex]

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

Similarly,

315/4 = 78 remainder 3

So [tex]i^{315} = i^3 = -i[/tex]

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

102/4 = 25 remainder 2

[tex]i^{102} = i^2 = -1[/tex]

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

76/4 = 19 remainder 0

[tex]i^{76} = i^0 = 1[/tex]

Answer:

1-1=2

4÷2=2

2÷2=1

69+69=138

100+100=200

7-4=3

Answer:

62 square units

Step-by-step explanation:

Top or bottom is 5 x 3, surface area is 15

front or back is 3 x 2, area = 6

left or right is 5 x 2, area = 10

so total area is 2*(15 + 6 + 10) = 62 square units

Answer:

Step-by-step explanation:

Place : y+x=2 <==> y = 2-x

and now replace y with the x-expression:

2x-(2.x)=-4 <==> 2x-2+x= 4 <==> 3x-2 =4 <==> 3x = 6 --> x = 2

and y = 2-x so y = 2-3 = -1

so the solution is S = {(2; .1)}

Answer:

During the winter clearance sale, The Cyclery has marked down all bicycles

20 percent and all accessories 25 percent. You purchase a 26-inch 10-speed bike

that regularly sells for $399.95, a chain and lock that regularly sell for

Step-by-step explanation:

hope it helps

Answers:

24 quarters

22 nickels

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

Work Shown:

q = number of quarters

n = number of nickels

q+n = 46 coins total which solves to n = 46-q

25q = value of all the quarters in cents

5n = value of all the nickels in cents

25q+5n = value (cents) of all the coins of both types

25q+5n = 710 cents total = $7.10

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

Apply substitution.

25q+5n = 710

25q+5(46-q) = 710

25q+230-5q = 710

20q+230 = 710

20q = 710-230

20q = 480

q = 480/20

q = 24

They have 24 quarters

This yields 25*q = 25*24 = 600 cents = $6.00 so far.

Use that value of q to find n

n = 46-q

n = 46-24

n = 22

They also have 22 nickels.

They have an additional 5n = 5*22 = 110 cents = $1.10

In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.

4:7

Step-by-step explanation:

The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.

We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.

There is a total of 7 tortillas regardless of their type.

Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.

4:7 or 4 flour:7 in total

The ratio of flour tortillas to total tortillas is 4:7.

Answer:

17 ounce cereal

Step-by-step explanation:

It is only a 53. cent difference so the better option would be the 17 ounce bag

Answer:

A

D

Step-by-step explanation:

(x,y)→(−y,x)

(-6,3)→(-3,-6)

(2,-3)→(-6,2)→(-3,1)

Answer:

It's B)

Step-by-step explanation:

Unfortnately I don't have time to explain because I'm packing currently but the answers right! I did it in my head.

-Lemony Snicket

Answer:

Hema - 9 stickers Rekha - 21 stickers

Step-by-step explanation:

Total Number of stickers given - 30

Ratio of stickers divided between Hema and Rekha - 3:7

Let the number of stickers Hema have be 3x

Let the nunber of stickers Rekha have be 7x

According to question,

3x+7x=30

10x=30

x=30/10

x=3

Therefore,

Number of stickers Hema got = 3x

= 3*3

= 9

Number of stickers Rekha got = 7x

= 7*3

= 21

Hence,

Hema will get 9 stickers

Rekha will get 21 stickers

Answer:

I believe the answer to your question is 34°