Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age

Answers

Answer 1

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.


Related Questions

Do the points A(-2,1), B(-2,4), C(3, 4), D(3, 1) form a square?

Answers

Answer: i don't think they do

Step-by-step explanation: tell me if i wrong

No they form a rectangle because the sides are 3 and 5.
A squares has 4 equal sides. A rectangle has 2 opposite sides equal.

Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34

Answers

Answer:

x = 0.69

Step-by-step explanation:

11/x + 18 = 34

11/x = 16

11 = 16x

x = 0.6875 = 0.69

(a^2 + ab – 3b^2) + (4a^2 - ab + b^2) =

Answers

Answer:

i tried ok

Step-by-step explanation:

10 i think lol

Answer:

5a²-2b²

bro this is the answer ok

if you need explanation tell ok

hope it helps you

please mark me as brainlist

Finding a percentage of o total amount without a calculator...
An item is regularly priced at $35. It is on sale for 40% off the regular price. How much (In dollars) Is discounted from the regular price?
Amount discounted: si
х
5
?

Answers

9514 1404 393

Answer:

  $14

Step-by-step explanation:

Computing 40% can be done a couple of ways.

  40% = 40/100 = 4/10 = 2/5

  40% of 35 = (2/5)(35) = 2(35/5) = 2(7) = 14

__

  40% = 4/10 = 2(2(1/10))

  40% of 36 = 2(2(1/10)(35)) = 2(2(3.5)) = 2(7) = 14

The amount discounted is $14.

Write as a fraction and fractional model model: there is one container of fruit juice and 2 people want juice

Answers

Question seems incomplete but we would make assumptions in order to answer and explain

Answer and explanation:

If we wish to model this situation in the form of a fraction: there is one container containing 30 cans of fruit juice and 2 people want fruit juice, we would be finding how many fruit juice each person would get from the container.

Given one container= 30 cans of fruit juice

Number of persons that require fruit juice = 2

Therefore fraction of fruit juice in relation to required fruit juice= 30/2

Please help quick will give brainliest!

Answers

Answer: Choice A) The linear equation, aka straight line

Explanation:

The end behavior is determined by the ratio of the leading terms. This is because for large x values, the leading terms "drown out" (so to speak) the weight of the other terms.

We divide the leading terms 10x^3 over 2x^2 to get 5x. So as x gets really large, in either the positive or negative direction, the tail end portions will start to approach y = 5x. This is the slant or oblique asymptote. The end behavior or y = 5x has the left side going down, while the right side is going up. The same applies for the f(x) function as well.

A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them that a direct (diagonal) path to the nearest landing area is 90,000 feet away. What is the angle of depression as they come in to land?

Answers

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

[tex]$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$[/tex]

[tex]$\sin \ \theta = \frac{60,000}{90,000}$[/tex]

[tex]$\sin \ \theta = \frac{2}{3}$[/tex]

[tex]$\sin \ \theta = 0.667$[/tex]

∴ [tex]$\theta = \sin^{-1 }(0.667)$[/tex]

     = 41.83°

Please help me...???​

Answers

Answer:

Step-by-step explanation:

77

Answer:

16.5 in³

Step-by-step explanation:

Length(L) = 2.2 in

breadth (b) = 1.5 in

height (h) = 5 in

Volume of the cuboid

= L * b * h

= 2.2 * 1.5 * 5

= 16.5 in³

For 3/4 of a pound of peanuts, Jimmy paid $2.35. What is the unit rate (dollars per pound)? *

Answers

Answer:

$3.13/lb

Step-by-step explanation:

Divide 3/4 pound into $2.35:

$2.35

--------- = $3.13/lb

3/4  lb

(GIVING BRAINILEST) Which characteristic do stable ecosystems tend to have s

Answers

Answer:

It will be C

Step-by-step explanation:

This is because ecosystems worh high biodiversity tend to be more stable

Hope this Helped

Answer:

The awnser is c i took the test ( a high amount of bio deversety)

Step-by-step explanation:

1. 2x + 7 = 2x - 7

2. 3x + 8 = -2x + 8

3. 4(x + 1) = 4x + 4

Answers

Answer:

1. 0 = -14

2. x = 0

3. 0 = 0

Step-by-step explanation:

I hope this helps have a great day

que es la regla de los signos​

Answers

Answer:

La regla de los signos son los positivos y los negativos.Pero otra cosa son cuales son las raglas de los signos.

At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. Height of the clown

Answers

Answer:

t = 3.11 seconds

Step-by-step explanation:

Given that,

At the circus, a clown is shot from a cannon. This situation can be modeled by the function :

[tex]h = -16t^2 + 45t + 15[/tex]

Where

'h' is height in feet and 't' is time in seconds

We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :

[tex]-16t^2 + 45t + 15=0[/tex]

We need to solve for t. It can be calculated as follows :

[tex]t=\dfrac{-45\pm \sqrt{45^2-4(-16)(15)} }{2(-16)}\\\\t=-0.301\ \text{and}\ 3.11\ s[/tex]

So, the required time is 3.11 seconds.

Line AB is definited by the equation ax+by=c where a=0, b=1, and c=-2 graph line AB

Answers

Answer:

graph shown below

Step-by-step explanation:

ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.

On a graph, this would look like:

Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children and how many adults went to the play?

Answers

Answer:Number of children = 2 and number of adults = 9 attended the play

Step-by-step explanation:

Step 1

Let the  number  of children be represented as  x

and the number of adults in the group  be represented as  as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+  22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+  22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3  and then subtract from equation 2

15x+  22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

y= 63/7= 9

y= adults = 9

therefore x = number of children will be

x+y=11

x+ 9=11

x= 11-9= 2

In the group that attended the play,  Number of children = 2 and number of adults = 9

Expanded form of 5*10^-9​

Answers

Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation:

if p is the smallest of four integers, what is their sum interms of P​

Answers

Answer:

If  p  is the smallest of  n  consecutive integers of the same sign than we have  p ,  p+1 ,  p+2 ,  … ,  p+(n−1) ,

So the sum is

∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2  

Here  n=4  

So we have  4p+6  

And checking

p+(p+1)+(p+2)+(p+3)=4p+6  

Note if  p=−v  

Than you have the same thing as if  p=v−n+1  just negative for example  3  consecutive integers the smallest is  −5  so the sum is  −5+(−4)+(−3)=3×−5+32−32=−15+3=−12  

On the other hand:

−(3+4+5)=−(3×3+32−32)=−(9+3)=−12  

If  p=−v  the sum of next  v+1  integers is  −(∑k=0vk)=−(v2+v2)  

Than needs an other  v  integers to bring it up to  0  again. From there it is

∑k=0hk=h2+h2  

Where  h=n−(2v+1) .

So recap if  p  is the smallest of  n  consecutive integers their sum is

p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1

Step-by-step explanation:

PLEASE HELPP MEEE!!
I will give brainliest

Answers

Answer:

The 3rd one

Step-by-step explanation:

Let find angle z

Using law of sines

[tex] \frac{xy}{ \sin(z) } = \frac{xz}{ \sin(y) } [/tex]

Plug in the numbers

[tex] \frac{43}{ \sin(x) } = \frac{40}{ \sin(68) } [/tex]

Flip both equations

[tex] \frac{ \sin(x) }{43} = \frac{ \sin(68) }{40} [/tex]

where z=85.4 or 94.6

Using the triangle interior sun theorem,

if z=85.4 let add up all so The first 2 are rules out angles to make sure they add up to 180.

[tex]if \: z = 85.4[/tex]

[tex]85.4 + 68 + x = 180[/tex]

[tex]x = 153.4[/tex]

[tex]x = 26.6[/tex]

The fourth one doesnt have 26.6 as a angle so it cant be that

Let try if z=94.6

[tex]68 + 94.6 + x = 180[/tex]

[tex]162.6 + x = 180[/tex]

[tex]x = 17.4[/tex]

The third one has that.

Also we reuse law of sines YZ=12.9 so it is the third one.

Which statement is true for brainliest

Answers

Answer:

<A≅<Z

Step-by-step explanation:

Hope This Helps!

2x-2
Given f(x) = (2x-2) / 4 solve for f-1(3).

1) 1

2) 5

3) 7

4) 8

Answers

Answer:

Your Streak is on! Answer another question tomorrow and keep it going.

Step-by-step explanation:

x²+8x-84=0

Formúla General ​

Answers

Answer:

                [tex]x_{1} =-14\\\\x_{2} =6[/tex]

Step-by-step explanation:

[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]

A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the
bike is rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the
number of hours and y represent the total cost of the rental.
Use the key information above to find an equation that
represents this rental costs at the bike company. How much
would it cost someone to rent the same bike, with the same
fees, for 6 hours?
O $26
O $28
O $30
O $24

Answers

Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.

Now check your work:

(1 x 6) + 4 = 10

Answer:

They would pay $28.

Step-by-step explanation:

4 x 3 = 12, 22-12= 10. $10 is initial fee.

6 x 3 = 18, 18+10= 28. $28 for 6 hours

A taxi driver chargers $2.80 for an initial fee and $1.20 for each mile. Write and solve an equation to find out how many miles a passenger can travel for $20.

Answers

Answer:

14 miles

Step-by-step explanation:

2.80+1.20x=20

-2.80            -2.80

1.20x=17.20

1.20x/1.20= 17.20/1.20

x=14 miles

Hope this helps!

Name the Property:
Associative Property, Distributive
Property, Identity Property of
Multiplication
13. ax 1 =a

Answers

Answer:

Property of  Multiplication

Step-by-step explanation:

hope this helps

Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 63 text messages from Yolanda. Which equation can be used to find how many text messages Quiana has from Pierre, p? A. 63p = 7 B. 7p = 63 C. 63 + p = 7 D. 7 + p = 63

Answers

im fairly sure its C

plzzzzzzzzzzz helppppppppppppppppppp

Answers

Answer:

A. Step 1

Step-by-step explanation:

He made the mistake on step 1 because he didn't distribute

Answer:

Step 1

Step-by-step explanation:

2(5g - 1) = 3

1 Step: Distribute

2(5g - 1) = 3

10g-2=3

2 step: Add 2 to both side of the equation

10g -2=3

10g= -2+2=3+2

3 step: Simplify

4 step: Divide both sides of the equation by the same term

10g=5

10g/10 = 5/10

5 step: Simplify

g = 1/2

Perform the indicated operation.
f (x) = x2 − 1 g(x) = 3x + 4 Find f (9) − g(9)

Answers

Answer:

f(9)=17//g(9)=31

Step-by-step explanation:

substitute- (9)2-1= 18-1=17

substitute and solve- 3(9)+4=27+4=31

Hope this helps


The local grocery store sets a bag of dog food for $22. The store pays $13 for the dog food. Which oquation can be used to find the markup on the dog food? Options: A. X+9=13 B. X+13=22 c. X-9=22 d. X-22=13

Answers

Answer: The answer is b

Step-by-step explanation:

Help this is timed!!!

Answers

Answer:

C. (4,2)

Step-by-step explanation:

The point where the lines intersect is (4, 2)

Answer:

IT IS 2,4!!!!!!!!!1

Step-by-step explanation:

1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).


2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?


Function Notation.

Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)

f(-2)=2(-2)^2-4= ?


f(0)=2(0)^2-4= ?


f(1)=2(1)^2-4= ?

Answers

Answer:

1. vertical translation (the point goes straight up)

2. P'(0,7) (the translation was up five units and over 1 unit)

3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)

f(0)=2(0)^2-4= (all y values are -4) (0,-4)

f(1)=2(1)^2-4= (all y values are -2) (0,-2)

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