Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?

Answers

Answer 1

Answer:

Janine is 28. Ingrid is 30.

Step-by-step explanation:

Let the ages be x and x + 2 for Janine and her sister, respectively.

x/7 + (x + 2)/3 = 14

Multiply both sides by the LCD, 21, to get rid of denominators.

21 * x/7 + 21 * (x + 2)/2 = 21 * 14

3x + 7(x + 2) = 294

3x + 7x + 14 = 294

10x = 280

x = 28

x + 2 = 30

Answer: Janine is 28. Ingrid is 30.

Answer 2

Answer:

Janine is 28 and Ingrid is 30.

Step-by-step explanation:

Let Janine's age be x years , then Ingrid's age is x+2 years.

From the given information we have the equation:

x/7 + (x + 2)/3 = 14

Multiplying through by the LCM of 3 and 7 (21),  we have:

3x + 7(x + 2) = 294

10x + 14 = 294

10x =  294-14 = 280

x = 28, so:

Janine is 28 and Ingrid is 30.


Related Questions

Given f(x) = -10x + 11, find f(22)

Answers

Answer:

-209

Step-by-step explanation:

-10*(22)+11

-220+11

-209

Answer:     -209

Step-by-step explanation:

f(22)=-10(22)+11

f(22)=-220+11

f(22)=-209

The dimensions of a right rectangular prism are 8/5 cm, 10/3 cm, and 7/4 cm. What is the volume of the prism?

Answers

Answer:[tex]9.33\ cm^3[/tex]

Step-by-step explanation:

Given

The dimension of the prism is

Length [tex]l=\frac{8}{5}\ cm[/tex]

width [tex]w=\frac{10}{3}\ cm[/tex]

height [tex]h=\frac{7}{4}\ cm[/tex]

The volume of Prism is  [tex]V=l\times w\times h[/tex]

Putting values

[tex]\Rightarrow V=\dfrac{8}{5}\times \dfrac{10}{3}\times \dfrac{7}{4}=\dfrac{560}{60}=9.33\ cm^3[/tex]

Which equation represents a linear function

Answers

Answer: B

Step-by-step explanation:

Which inequality is equivalent to this one? y-85-2 y-8+82-2+8 oy- 8+8 ​

Answers

Answer:

The answer is the forth one , Y-8+2⩽-2+2

The equivalent inequality of y - 8 ≤  -2 is y - 8 + 8≤  -2 + 8

How to determine the equivalent inequality?

The inequality is given as:

y - 8 ≤  -2

Add 8 to both sides of the inequality

y - 8 + 8≤  -2 + 8

Hence, the equivalent inequality of y - 8 ≤  -2 is y - 8 + 8≤  -2 + 8

Read more about inequalities at:

https://brainly.com/question/11234618

Write a rational number between -1to0

Answers

You can download answer here

tinyurl.com/wpazsebu


#6thgrademath help

Answers

Is this math or algebra?

Helppppp pleaseeeee I don’t knowwww

Answers

-2,2
The c lands on negative 2 on the x coordinate and if you go up 2nd The y coordinate lands on 2 a regular 2!

Choose the graph of the solution to this inequality.
–6x < 21

Answers

Answer: A

Step-by-step explanation:

c - 12 > -16

c > -4

A

The answer is A.

c - 12 > -16

c > -16 + 12

c > -4


> means the the arrow should be pointed to the right, and should be on the point -4.

The rectangle below has an area of 81-x^281−x
2
81, minus, x, squared square meters and a width of 9-x9−x9, minus, x meters.

Answers

Answer:

1

Step-by-step explanation:

1x1

If a circle has a diameter of 8cm, what is the radius of this circle?

Answers

Answer:

r=4cm

d Diameter

cm

d

r

r

r

d

d

C

A

Unit Conversion:

d=8cm

Using the formula

d=2r

Solving forr

r=d

2=8

2=4cm

Step-by-step explanation:


plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

1800

Step-by-step explanation:

30 x 60

Whitch expression is equivalent to 7 to the 3rd power? 7*7*7. Or 21. Or. 3 to the power of. Or. 10

Answers

Answer:

7x7x7

Step-by-step explanation:

Suppose you roll two fair, six-sided dice and record the sum of the numbers that appears on top. What is the probability that you roll an 4

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1/3 chance

Explanation:  If you have a 1/6 chance of rolling a four, and then you role two die, you now have two 1/6 chances, meaning you have 1/6 + 1/6, AKA, 1/3 chance

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

find the value of given expression

[tex] \sqrt{2 - 1} [/tex]

Answers

Answer:

Answer is 1 I hope this help

I need help please, I will give brainliest to the first person that answers. Also extra points.

Answers

Answer:

B)

a + c = 7

9a + 4c = $43

Step-by-step explanation:

There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by a and is 9 dollars. The children's ticket is represented by c and is 4 dollars.

Have a nice April Fool's XD.

Help plz

What different and similar between Rectangle and square

Answers

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

Definition of Square and Rectangle
Square: A square is a closed two-dimensional plane figure with four sides. All the four sides of the square are of equal measure. Also, the four interior angles of a quadrilateral are of 9o degrees. In other words, a square is considered as a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered as an equiangular quadrilateral.

Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other. It means that the opposite faces of the rectangle are of equal measure. A rectangle has four angles, each measuring about 90 degrees. As like square, a rectangle is also called an equiangular quadrilateral.

A gardener is planting two types of trees: Type A is 4 feet tall and grows at a rate of 24 inches per year. Type B is 5 feet tall and grows at a rate of 21 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

It would take 5 yrs. for both trees to be the same height.

60 yards is the same as __________ inches.

Answers

2160 Inches is 60 yards

Please help me on 4 and 5

Answers

Answer:

there is nothing there

Step-by-step explanation:

Answer:

what's the question ?

.

.

.

Kata gets on a moving walkway at the airport. Then, 8 s after she gets on, she taps Lisa, who is standing alongside the walkway. The graph shows Kata's distance from Lisa over time. Calculate the rate of change in her distance from Lisa from 6 s to 8 s, and then from 8 s to 12 s. What do the rates of change mean in terms of Kata’s movement?

Answers

The average rate of change over each interval is given as follows:

6 s to 8 s: -1 ft/sec.8 s to 12 s: 2.5 ft/sec.

The meaning of these rates is that Kata was behind Lisa, then met her after 8 seconds and started distancing herself.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output divided by the change in the input.

The numeric values for the function are given as follows:

d(6) = 2.d(8) = 0.d(12) = 10.

Then the rates are calculated as follows:

6 s to 8 s: (0 - 2)/(8 - 6) = -1 ft/sec.8 s to 12 s: (10 - 0)/(12 - 8) = 2.5 ft/sec.

Missing Information

The graph is given by the image presented at the end of the answer.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

I need help with this problem, if you could describe how to do it thats fine aswell, but im a little confused with this

Answers

the slope is 5/1 because u find a point (4,20) and then like “simplify” it, 1/

he would charge $4 for half a gallon of milk

Answer:

That it's confusing to you is understandable, these problems are confusing, They take a bunch of real world things and put it into abstract concepts. The graph of the line is just that, an idea of how math represents the cost of the milk.

Step-by-step explanation:

the graph you are given is a straight line, not all graphs are straight lines, but b/c it's a straight line we get to "categorize" it as linear.  linear graphs are nice to work with,  as compared to curvey  ones.  aka  non-linear. There are a few famous formulas that go along with linear graphs.  Remember graphs are just representations of info in a way that we can use math to understand that real thing in abstract ways.  

the problem asks what is the slope of the line.  Think of the idea of a mountain slope here,  when we look at the graph.. and move over it like we would read,  from left to right, the graph moves up hill.. or positive,  so this graph is a positive slope graph.  now we just need to figure out a way to say that with numbers.  

often times slope is represented with the variable 'm' .  why 'm' you ask?  it's just a convention, it's not important which letter you use to represent slope but by convention we use 'm'   There is a formula for slope that goes like this,

m = (y2-y1) / (x2-x1)

we can use that to find the slope of this line, but we already know it's positive just by quickly looking at the graph.

the x's and y's in the formula are the x and y points of some exact point on the graph that we can find just by looking at the graph. :)  yes we get to make our own points.  P1  and P2  ( point 1  and point 2)

somebody has already made two nice black dots, on your graph for you, let's use those two black dots, you don't have to, but those do look convenient.  :)

using those two black dots and going from left to right.. I see the 1st point as P1 = (x1,y1) =( 2,10)  and the second point as P2 = (x2,y2) = (4,20)

then plug those into the above fomula

m = (20-10) / (4-2)

m = 10 / 2

m = 5

yep,  it's positive and steep up , that the answer to (a)

for (b)

we just need the formula called the point slope

y = mx + b

since we know m

y = 5x + b

for use b = 0

so just

y = 5x

now plug in x= 1/2, for the 1/2 gallon of milk

y = 5(1/2)

y = 2/5  

that's (b)  :)

Sean and his cousin are playing a game where they pick up colored sticks. Sean currently has 50 points and likes to pick up the white sticks, earning 2 points every turn. His cousin just lost all her points on the previous turn, and has a strategy to catch up by getting all the purple ones, earning 12 points per turn. In a certain number of turns, the score will be tied. How long will that take?

Answers

Answer:

It would take 5 turns

Step-by-step explanation:

Problem PLS HELP MY GRADES GOING DOWN

Answers

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

find the solutions to x^2=27

Answers

Answer:

≈5.20

Step-by-step explanation:

[tex]x^{2} =27[/tex]

you are going to use the square root on both sides to cancel out the x^2

[tex]\sqrt x^{2}=\sqrt 27[/tex]

find the square root of 27

x= about 5.20

you will have to round up when you see the actual result when you follow these steps

Answer:

x = +3 square root of 3

Step-by-step explanation:

yea

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ

Answers

Answer:

It's symmetrical to the origin

Step-by-step explanation:

Use desmos for further graphing


At the music store Katelyn bought 2 packs of
guitar strings and a music book. The book cost
$18.00. Her total purchase was $46.00. How
much is one pack of strings?

Answers

For one pack of guitar strings, it cost $14.00

Adrien and his family are enjoying a vacation in the wild west. One place they really want to visit is the Grand Canyon. The total distance they will drive is 400 miles. If they have already driven 280 miles, what percent have they driven?

Answers

Answer:

70%

Step-by-step explanation:

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Answers

Answer:

2/7

Step-by-step explanation:

7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?

What is the volume of a hemisphere with a radius of 2.6 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

36.81

Step-by-step explanation:

V= (2/3)pir

Answer:

36.8 m^3

Step-by-step explanation:

Si al doble de 3,4 se le resta el triple de 4,3 resulta

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Answer:

I would help you but I can't read the question.

Step-by-step explanation:

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