Ellie is 5 times as old as her sister Emma. In 2 years Ellie will be 3 times as Emma. How old is Emma now?

Answer: Answer is in the steps

Step-by-step explanation:

The perfect square that is less than 15 is  9 and greater 15  is 16  and the square root of 15  falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.

   First row:      9 < 15 < 16

 Second row   [tex]\sqrt{9} < \sqrt{15} < \sqrt{16}[/tex]  

Third row ;        3 < [tex]\sqrt{15}[/tex]  < 4

Answer:

  9 minutes

Step-by-step explanation:

The water volume in pool 1 starts at 50 gallons and increases at 2.3 gallons per minute. An expression for that volume could be ...

  v = 50 +2.3t

The water volume in pool 2 starts at 102.2 gallons and decreases at 3.5 gallons per minute. An expression for that volume could be ...

  v = 102.2 -3.5t

The volumes will be equal when ...

  50 +2.3t = 102.2 -3.5t

  5.8t = 52.2 . . . . . . . . . . . subtract 50-3.5t from both sides

  t = 52.2/5.8 = 9 . . . . . . . divide by the coefficient of t

After 9 minutes, the pools will contain the same amount of water.

_____

The equation 5.8t = 52.2 tells you the 52.2 gallon difference in volumes is being reduced at the rate of 5.8 gallons per minute. You don't really need the 'v' equations to figure that out.

Answer:

The numerical length of JL is 6 units

Step-by-step explanation:

Here, we want to determine the numerical length of JL

Mathematically;

JL = JK + KL

2x + 8 = 5x + 7 + 4

2x + 8 = 5x + 11

5x -2x = 8-11

3x = -3

x = -1

But JL = 2x + 8

JL = 2(-1) + 8 = -2 + 8 = 6

Answer: 63.13%

Step-by-step explanation:

given data:

copper = 21.8%

0.13%x + 29%(140-x) = 21.8%(140)

open the brackets

0.13x + 40.6 - 0.29x = 30.5

collect like terms

0.13x - 0.29x = 30.5 - 40.6

–0.16x = –10.1

divide both sides by – 0.16

–0.16x / – 0.16 = –10.1 / –0.16

x = 63.13%

[tex]\bf Step-by-step~explanation:[/tex]

Objective: You need to find the number of feet the tree grows every year (the unit rate).

[tex]\bf Steps:[/tex]

FIrst, we look at what we have now. The tree grows 3 feet every 5 years, so we have to divide 3 by 5 to get the number of feet the tree grows in one year.

[tex]\bf 3~feet~divided~by~5~years~=~Our~final~answer\\\frac{3}{5}=\frac{6}{10}~(multiplied~3~and~5~by~2)\\ \frac{6}{10} =0.6~feet[/tex]

[tex]\large\boxed {\bf Our~final~answer: ~0.6~feet~per~year}[/tex]

[tex]The~tree~grows~at~a~rate~of~0.6~feet~per~year.[/tex]

Answer:

Square: Area = S²

Rectangle: Area = lw (L x W)

Triangle: Area = bh/2

Circle: Area = 3.14(r)²

Answer:

-15/7

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 so replace the variables with -8-7/3-(-4) and solve which gets you -15/7

Answer:

This is the equation

Step-by-step explanation:

7 + 3x = 16

Please mark as brainliest.

Answer:

Always

Step-by-step explanation:

If two lines are coplanar and will not intersect, they are parallel.

Answer:

c. 44

Step-by-step explanation:

½m - ¾n = 16

½m - (¾×8) = 16

½m - 6 = 16

½m = 16 + 6

½m = 22

m = 44

Answer:

c 44

Step-by-step explanation:

its on edge

Answer:

3

.

¯

2

=

29

9

Explanation:

Using the notation of a bar over a set of digits to denote their infinite repetition,

let  

x

=

3

.

¯

2

⇒

10

x

=

32

.

¯

2

⇒

10

x

−

x

=

32

.

¯

2

−

3

.

¯

2

=

29

⇒

9

x

=

29

∴

x

=

29

9

This technique works in general. Set  

x

as your desired value, multiply by  

10

n

where  

n

is the number of digits repeating, and then subtract  

x

to eliminate the infinitely repeating portion. It then is just a matter of dividing by  

10

n

−

1

a

Step-by-step explanation:

x=536/165

you should know what to do since your in this part of the unit

Answer:

(12,infinity)

Step-by-step explanation:

I eliminated A and C because you can't do open brackets without closing them. I eliminated the negative infinitys because it said that P was bigger than 12.

Answer:

Answer should be I 16-(-10) I = 26

But I guess it's the last choice you listed, I -10-16 I = 26

Answer:

L=16+W

2W+2(16+W)=256

2W+32+2W=256

4W=224

W=56

Answer:

3x1/8x2/5=3/20

Step-by-step explanation:

Answer:

2.39 x 10 to the power of 4

Answer:

7,000,000

Step-by-step explanation:

[tex]Principal = 20,000,000\\Time =7\:years\\Rate = 5\%\\Simple\:interest =?\\\\Simple\:interest = \frac{Principal\times Rate\times Time}{100} \\\\S.I= \frac{20000000\times 5 \times 7}{100} \\\\S.I==\frac{700000000}{100}\\\\Simple\: interest=7000000[/tex]

The solution is, he will pay 7000000 interest in all.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

here, we have,

given that,

Antony borrowed 20,000,000 for 7 years his interest rate is 5%

i.e. we get,

P= 20,000,000

t = 7

r= 5%

and, we have to find I

so, we have,

I = P r t

 =20,000,000*5*7/100

 =7000000

Hence, he will pay 7000000 interest in all.

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Answer:

11 not have root

Step-by-step explanation:

beause it is the prime number MARKE AS BRILLIANT

Answer:

3.3164 correct to four decimal places

Step-by-step explanation:

WE USE BINOMIAL THEOREM.

√11=√(10+1)=(10 + 1)^½

FACTOR TEN OUT

=> 10^½(1 +1/10)^½

WE KNOW THAT:

(1 +X) ^n= 1 + nX + [n(n -1)(x)²]/2! + .........

NOW LET X =1/10 AND n= ½

SUBSTITUTING INTO THE FORMULA ABOVE

=>(1/10)^½ [1 + (½)(1/10) +[½(½ –1)(1/10)^½]/2×1 + ......]

=(1/10)^½[1 + 1/20–1/800 +......]

=> (1/10)^½(839/800)

≈3.3164

THEREFORE √11 ≈ 3.3164( ESTIMATED)

Answer:

VI is 6

Step-by-step explanation:

Answer:

VI is 6

Step-by-step explanation:

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

Explanation:

Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?

If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.

Multiply both sides by 6 to get

(1/2)x - 1/3 = 5/6

6*[ (1/2)x - 1/3 ] = 6(5/6)

6*(1/2)x - 6*(1/3) = 6(5/6)

3x - 2 = 5

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

At this point, the fractions are gone. We can now solve like so

3x-2 = 5

3x-2+2 = 5+2 ... adding 2 to both sides

3x = 7

3x/3 = 7/3 .... dividing both sides by 3

x = 7/3

Answer:

x=5/6

Step-by-step explanation:

12x−13=5612x-13=56

Combine 1212 and xx.

x2−13=56x2-13=56

Move all terms not containing xx to the right side of the equation.

Add 1313 to both sides of the equation.

x2=56+13x2=56+13

To write 1313 as a fraction with a common denominator, multiply by 2222.

x2=56+13⋅22x2=56+13⋅22

Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.

Multiply 1313 and 2222.

x2=56+23⋅2x2=56+23⋅2

Multiply 33 by 22.

x2=56+26x2=56+26

Combine the numerators over the common denominator.

x2=5+26x2=5+26

Add 55 and 22.

x2=76x2=76

Multiply both sides of the equation by 22.

2⋅x2=2⋅

Answer:

Step-by-step explanation:

( 5x⁴ + 3)²

( 5x⁴ + 3)(5x⁴ + 3)

Expand using FOIL

That's

(5x⁴)(5x⁴) + 5x⁴(3) + 3(5x⁴) + 3(3)

We have

Add and simplify like terms

We have the final answer as

Hope this helps you

2x^2 + 4x - 4

..........................

Answer:

x = {-2, -1}

Step-by-step explanation:

Combine like terms: 0 + -2 = -2

x = -2

Simplifying

x = -2

Combine like terms: 0 + -1 = -1

x = -1

Simplifying

x = -1

Answer:

Adult's tickets 85

children's tickets 43

Step-by-step explanation:

x + y = 128

10x + 6y = 1108

x = 128 - y

10(128 - y) + 6y = 1108

1280 - 10y + 6y = 1108

1280 - 4y = 1108

-4y = 1108 - 1280

-4y = -172

y = -172/-4

y = 43

x = 128 - y

x = 128 - 43

x = 85

Its less than i think yeah

Answer:

X+2

Step-by-step explanation:

A number is x plus 2

X+2

Answer:

miles/gallons: 80/5 = 48/g

Cross multiply

80g = 240

g = 3 gallons

Step-by-step explanation:

4 gallons will​ Hank's pickup need to travel ​76 miles.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

​Hank's pickup can travel 95 miles on 5 gallons of gas.

95 miles ⇒  5 gallons of gas

76 miles ⇒ X

95X = 76 × 5

X = [tex]\frac{76(5)}{95}[/tex]

X = 4

4 gallons will​ Hank's pickup need to travel ​76 miles.

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Answer:

Design 1

Step-by-step explanation:

Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense

The question is an illustration of a random selection.

The descriptions of the designs are:

Design 1

From the question, we understand that:

The above description is a matched pair design, because half of the participants gets randomly assigned to material A and B, while the other half gets automatically assigned to the remaining materials.

Design 2

From the question, we understand that:

The above description is a completely randomized design, because half of the participants gets randomly assigned to material A, while the other half gets randomly assigned to material B.

Read more about random selections at:

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Answer:

78.675 pounds

Step-by-step explanation:

36.4 + 42.275 = 78.675 pounds

Answer:

it is 78.675 just round it to the nearest something which would be 78.68

Step-by-step explanation:

just add and round