Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212 more seashells on the beach. Katie can use fractions of days to find seashells.

Let present age of women be x.

Then,Present age of her daughter be y.

According to the question,

Two years ago,

Woman age = x - 2

Her daughter age = y - 2

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

After Three years ,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii (

Now,

★ Putting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Putting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

Hey there! I'm happy to help!

First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.

We add up the values that make up the top side so we can find find its length.

6.1+8.1+9.5=23.7

The bottom side is 8.1

We add the top and bottom sides.

23.7+8.1=31.8

We divide by 2.

31.8/2=15.9

We multiply by the height, which we can see is 6.2

15.9×6.2=98.58

Now, we find the area of the rectangle that isn't shaded.

6.2×8.1=50.22

We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.

98.58-50.22=48.36

Therefore, the shaded regions have a total area of 48.36 cm².

Have a wonderful day! :D

Answer:

500 - 2a = 340

500 - 2a - 500 = 340 - 500

-2a = -160

-2a/-2 = -160/-2

a = 80

Step-by-step explanation:

Answer:

[tex]\bold{268=225+}l[/tex]

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = [tex]l[/tex]

To find:

To write an equation to describe the situation and find the value of [tex]l[/tex] for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

[tex]T = R + l\\\Rightarrow \bold{268=225+}l[/tex]

So, the equation is:

[tex]\bold{268=225+}l[/tex]

Now, let us find the value of [tex]l[/tex] from the above equation:

[tex]l=268-225\\\Rightarrow \bold{l = 43}[/tex]

Number of points scored from left handed shots = 43

Answer:

$23

Step-by-step explanation:

Answer:

$23 is how much he will owe

Answer:

34. E 2 1/2

36. C 6cm

Step-by-step explanation:

34. ABC's triangle has 4, as it is equivalent to ADE's triangle's 10. I added 4 and 6 because the whole triangle shown is ADE. Then I did 10/4.

36. The reasoning is that on the other side, there is 9cm and 6cm which is equivalent to AB and 4cm

It goes like: 9/6 = AB/4

9 times 4 equals 36, and 36 divided by 6 is 6. Therefore the answer is 6cm.

Answer:

which one should we solve and you are from my school now a secondary school it is Michael in jss3 daisy meet me tomorrow but which questions should I solve

Answer:

Step-by-step explanation:

The area is given by the product of length and width.

  A = LW

  209 = (4x +3)(4x -5)

  209 = 16x^2 -8x -15

  224 = 16x^2 -8x

You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".

  14 = x^2 -(1/2)x

  14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient

  (x -0.25)^2 = 14.0625

  x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25

Only positive values of x are useful here, so we have

  x = 4

Then the dimensions are ...

  length = 4x +3 = 4(4) +3 = 19 . . . feet

  width = 4x -5 = 16 -5 = 11 . . . feet

Answer:

3.52x

Step-by-step explanation:

Let

Quantity of tickets=4

Price of tickets=x

Discount=12%

This means, you will pay 100% -12%

=88%

Total amount payable=discount (quantity * price)

= 88% ( 4 * x )

= 0.88 (4x)

= 3.52x

Answer:

In general direct variation suggests that two variables change in the same direction. as one variable increases the other also increases and as one decreases the other also decreases.

Step-by-step explanation:

i hope this helps.

Answer:

x+5

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{x+5}[/tex]

Step-by-step explanation:

Let the number be x.

5 more than x.

The verbal phrase to algebra:

x + 5

Answer:

x= 8.4

Step-by-step explanation:

y=0.8

4x + 8y =40

4x + ( 8 x 0.8) = 40

4x + (6.4)  =40

4x = 40 - 6.4

4x = 33.6

x = 8.4

Hi there! :)

Answer:

[tex]\huge\boxed{n = -2}[/tex]

5n + 6 = -3n - 10

Solve for n:

Add 3n to both sides:

5n + 3n + 6 = -3n + 3n - 10

8n + 6 = -10

Subtract 6 from both sides:

8n + 6 - 6 = -10 - 6

8n = -16

Divide both sides by 8:

8n/8 = -16/8

n = -2.

Answer:

n= -2

Step-by-step explanation:

Answer:

f(-5)=17

Step-by-step explanation:

Took the quiz.

The remainder theorem is an easy way of calculating the remainder from polynomial division.

The conclusion of remainder theorem, here is that: [tex]f(-5) = 17[/tex]

We have:

[tex]\frac{f(x)}{x + 5}[/tex] and a remainder of 17

The general rule of the remainder theorem is that:

For [tex]\frac{f(x)}{x + a}[/tex] and a remainder of b

It means:

[tex]f(-a) = b[/tex]

By comparing

[tex]\frac{f(x)}{x + a}[/tex] and [tex]\frac{f(x)}{x + 5}[/tex]

It means:

[tex]a = 5[/tex] and [tex]b = 17[/tex]

So:

[tex]f(-a) = b[/tex] becomes

[tex]f(-5) = 17[/tex]

Hence, the conclusion is that:

[tex]f(-5) = 17[/tex]

Read more about remainder theorems at:

https://brainly.com/question/13416073

Your question has been heard loud and clear.

This is a right triangle , which means it has a hypotenuse ( longest side of the triangle)

X is the length of the hypotenuse. We need to find x.

By Pythagoras theorem ,

Side^2+side^2= Hypotenuse^2

2.5^2+3^2= x^2

= 6.25+9=x^2

15.25=x^2

So , x = root of 15.25 =  3.9

Therefore , x= 3.9

Thank you

Answer:

[tex]\huge \boxed{\mathrm{3.91 \ m}}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

The hypotenuse length of the right triangle is not given.

We can use Pythagorean theorem to solve for the hypotenuse.

[tex]c=\sqrt{a^2 +b^2 }[/tex]

c is the hypotenuse length of the right triangle.

a and b are the legs of the right triangle.

[tex]x=\sqrt{3^2 +2.5^2 }[/tex]

Evaluate and solve for x.

[tex]x=\sqrt{9+6.25}[/tex]

[tex]x=\sqrt{15.25}[/tex]

[tex]x= 3.905125...[/tex]

growth

Step-by-step explanation:

3 (.25)= .75

multiply 3 into the .25 and it's a positive number so it's increasing

Answer:

the answer is .009 rounded to the nearest thousandths

Answer:

From the RHS:

Cot^4θ-tan^4θ

=(cos^2θ/sin^2θ)*(cos^2θ/sin^2θ)-(sec^2-1)*(sec^2-1)

=(1-sin^2θ)/(sin^2(θ))*(1-sin^2θ)/(sin^2(θ))-(sec^4θ+2sec^2θ+1)

=(cosec^2θ-1)*(cosec^2θ-1)-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ+1-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ-sec^4θ+2sec^2θ

=LHS

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the following Pythagorean Identities:

sec²A = tan²A + 1

csc²A = 1 + cot²A

Use group factoring:  a(x + y) + b(x + y) = (a + b)(x + y)

Proof LHS → RHS

Given:                    2sec²Ф      - sec⁴Ф             -     2csc²Ф       + csc⁴Ф

Pythagorean:        2(tan²Ф + 1) - (tan²Ф + 1)²    +   -2(1 + cot²Ф) + (1 + cot²Ф)²

Group Factoring:   (tan²Ф + 1)(2 - tan²Ф - 1)     +    (1 + cot²Ф)(-2 + 1 + cot²Ф)

Simplified:               (tan²Ф + 1)(1 - tan²Ф)           +    (1 + cot²Ф)(cot²Ф - 1)

Multiplied:               tan²Ф - tan⁴Ф + 1 - tan²Ф   +    cot²Ф - 1 + cot⁴Ф - cot²Ф

Simplified:                                         1  - tan⁴Ф   +    cot⁴Ф - 1

                                                    =      - tan⁴Ф  +  cot⁴Ф  

                                                    =        cot⁴Ф  - tan⁴Ф    

cot⁴Ф  - tan⁴Ф = cot⁴Ф  - tan⁴Ф    [tex]\checkmark[/tex]

Answer: Many people mistakenly give credit to Leonardo da Vinci for inventing scissors. Although da Vinci was brilliant, scissors were around for a long time before him. Some historians believe scissors were invented in the Middle East as long as 3,000-4,000 years ago.

Step-by-step explanation: Leonardo da Vinci

Scissors of the kind used today are believed to have been first made in 1 A.D in Rome. Some historians believe that Leonardo da Vinci is the inventor, for he had used it for cutting canvas. Although this view has not been widely accepted, Da Vinci helped to spread the popularity of scissors.

Hope this helps^^

Answer:

Apparently he isnt....

Answer:

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

Step-by-step explanation:

ratio of the angles 6:5

when you draw diagonal inside a rhombus it creates four right angled triangle

one angle=90

6x+5x=90 ( the other angles is complimentary)

11x=90

x=90/11

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

Answer:

Step-by-step explanation:

GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"

Answer:

Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks

please mark as brainliest

Answer: E 265   M 272  P 277

Step-by-step explanation:

English 265

math 265+7=272

Physics 272+5=277

the answer x=8.5

if ur trying to solve for x

Answer:

dihdvsjhvbsuhdsvubhjvdhbdsvhbdsvhbkvdshbds

Step-by-step explanation:

DJ CUCRACH AAE SLAHTI8AOS

Answer:

8.125 Litres

Step-by-step explanation:

Given:

Initial volume of hand sanitizer in the storage = 12 litres

Volume of dispensers:

350 ml

600 ml

475 ml

580 ml

650 ml

720 ml and

500 ml

To find:

Volume of sanitizer left after filling all the dispensers = ?

Solution:

The volume of sanitizer left can be calculated by subtracting sum of volumes of all the dispensers from the Initial total volume of the storage cabinet.

First of all, let us convert them into the same units i.e. litres.

We know that 1 Litre = 1000 ml

So,

350 ml = 0.350 Litres

600 ml = 0.600 Litres

475 ml = 0.475 Litres

580 ml = 0.580 Litres

650 ml = 0.650 Litres

720 ml = 0.720 Litres

500 ml = 0.500 Litres

Total volume of dispensers = 0.350 + 0.600 + 0.475 + 0.580 + 0.650 + 0.720 + 0.500 = 3.875 Litres

Let us subtract the total volume of dispensers from the initial volume of storage cabinet to find the volume remaining the storage cabinet.

Volume that remain in the storage cabinet = 12 - 3.875 = 8.125 Litres

Answer:

A

Step-by-step explanation:

a. CD = [tex]\sqrt{13}[/tex], EF = [tex]\sqrt{13}[/tex], CD≅EF

If [tex](x_{1}, y_{1})[/tex] & [tex](x_{2}, y_{2})[/tex] are co-ordinates of two points then the distance between this two points = [tex]\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2}- y_{1} )^{2} }[/tex]

Here, Point C = (0, 4) & Point D = (3, 2)

Then CD = [tex]\sqrt{(3-0)^{2} +(2-4)^{2} }[/tex] = [tex]\sqrt{3^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

And Point E = (-2, 1) & Point F = (-4, -2)

Then EF = [tex]\sqrt{((-4)-(-2))^{2}+ ((-2)-1)^{2} }[/tex]= [tex]\sqrt{(-2)^{2} +(-3)^{2} }[/tex]= [tex]\sqrt{4+9}[/tex]= [tex]\sqrt{13}[/tex]

We know that, if two line segment have same length, they are congruent.

Here CD = EF = [tex]\sqrt{13}[/tex]

Since CD & EF have same length, so CD is congruent to EF.

Learn more about congruence of two lines here :

https://brainly.com/question/15580358

#SPJ2

Answer:

just learn the sin value of all the degrees

the cos values are opposite to the sin values example sin 30 degree = cos 60 degrees. and sin 45 and cos 45 remains same . use the same logic for tan and cot and also for sec and cosec . tan values are sin degrees / cos degrees

Answer:

The value of x in this equation is -1.3

Step-by-step explanation:

8.8 + 7.8x = -7.9 - 5.5x

Subtract 8.8 on both sides of the equation.

7.8x = -16.7 - 5.5x

Add 5.5x on both sides of the equation.

13.3x = -16.7

Divide 13.3 on both sides of the equation. Don't forget to round to the nearest tenth.

x = -1.3

Answer:

x = -1.3

Step-by-step explanation:

8.8 + 7.8x = -7.9 - 5.5x

Add 5.5x to each side

8.8 + 7.8x+5.5x = -7.9 - 5.5x+ 5.5x

8.8+13.3x = -7.9

Subtract 8.8 from each side

8.8 + 13.3x - 8.8 = -7.9 - 8.8

13.3x = -16.7

Divide by 13.3

x = -16.7/13.3

x =-1.255639098

Rounding to the nearest tenth

x = -1.3