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

Tyler has 3 times as many books as Mai. How many books does Mai have if Tyler has 21 books?

Answers

Step-by-step explanation:

Say 21 divided by 3, which gives you 7

So mai has 7 books

Answer:

Mai has 7 books

Step-by-step explanation:

Tyler has 21 books and 3 times more than Mai

21/3 = 7

A single die is rolled one time What is the probability of rolling an even number or a 5?

Answers

Answer: 4/6 or 2/3

Step-by-step explanation:

Step-by-step explanation:

Total sample space , n(s) = 6

Favourable cases of rolling even number,

n(e) = 3

Favourable cases of rolling 5 , n(f) = 1

Probability of rolling an even number or a 5 is

= p(e) + p(f)

= n(e) / n(s) + n(f) / n(s)

= 3 / 6 + 1 / 6

= 4 / 6

= 2/3

Hope it will help :)❤

Using five different digits, form a 5-digit number
which represents
(a) the smallest odd number

Answers

Answer:

10235

Step-by-step explanation:

100 POINT PLS ACTUALLY NSWER PROPERLY ND NOT JUST FOR POINTS TY
Standard: HSG.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

You may see a question like this on the SBAC.

Options:

68°

112°

158°

136°

Answers

Answer:

i THINK its 112 degrees

the test is optional so if it's wrong it wont affect you

The measure of angle QPS in the cyclic quadrilateral is; 112°

What is the angle in the quadrilateral?

In theorems for cyclic quadrilaterals, we know that the sum of the opposite angles of a quadrilateral in a circle is 180°, provided that the quadrilateral does not cross itself.

Now, angle QPS is opposite to 68° in the cyclic quadrilateral. This means thst;

∠QPS + 68° = 180°

∠QPS = 180 - 68

∠QPS = 112°

Read more about angles at; https://brainly.com/question/25927269

A toy in a toy shop in shape of a triangle pyramid the area of the base of the toys 14 square cm and it's what has a height of 12 cm centimeters what is the volume of the twin cubic centimeters

Answers

Answer:

56cm³

Step-by-step explanation:

A triangular prism also known as tetrahedron is a polyhedron. It consists of  of four triangular faces, six edges and four vertexes

Area of a triangular prism = 1/3 x area of base x height

1/3 x 14 x 12 = 56 cm³

Britney is passionate about movies and dreams of going to film school. Her goal for the next
year is to watch every movie that won the Academy Award for Best Picture. She's already
seen some of them and now plans to watch one per week until she's seen them all. After
following her plan for 2 weeks, Britney has seen 15 of the Best Picture winners. After 7
weeks, she has seen 20 of them.
In this relationship, x represents how long (in weeks) Britney has followed her plan, and y
represents the number of Best Picture winners she has watched.
Graph two points for this relationship and the line passing through them.
50

Answers

yes i and the girls are in town

A rectangular prism has a length of 15 inches, a height of 13 inches, and a width of 3 inches. What is its volume, in cubic inches?

Answers

Answer: 585

Step-by-step explanation:

V=lwh

V= 15 * 13 * 3

5 daños colaterales de los avances medicos​

Answers

Answer:

1. Dosis de la vacuna de Oxford

Step-by-step explanation:

find the value of n
1/4(2n +6) = 4

Answers

Answer:

n=5

Step-by-step explanation:

1/4(2n +6) = 4

Multiply each side by 4

4*1/4(2n +6) = 4*4

(2n +6) = 16

Subtract 6 from each side

2n+6-6 = 16-6

2n = 10

Divide each side by 2

2n/2 = 10/2

n =5

Answer:

n= 5

Step-by-step explanation:

Hello! So to find the value of n, we just multiply 1/4 by the numbers inside the parentheses and then solve for n by dividing. Let's do it!

1/4 (2n + 6) = 4

0.5n + 1.5 = 4

0.5n = 4 - 1.5

0.5n = 2.5

n = 2.5 / 0.5

n = 5

Hope that helps, let me know if you have questions! :)

Is 1/4, 1/5, 1/6, or 1/8 closer to 1

Answers

Answer:

1/8

Step-by-step explanation:

ingna ko kung wrong

nakasabot ka

Solve 5(2–m)-3(4 – 2m) = 20

Answers

Step-by-step explanation:

5(2–m)-3(4 – 2m) = 20

10-5m-12+6m=20

m=22

hope it helps

answer

m =22

solution

5(2-m)-3(4-2m)=20

10-5m-12 +6m=20

-2+m =20

m= 20+2

m =22

Make t the subject of 5(t − g) = 2t + 7

Answers

Answer:

[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]

PLEASE HELP ME SOLVE THIS. Find the value of x and y. Round your answer to the nearest tenth. ​

Answers

sin20 = x/5
5sin20 = x

x = 1.71

cos20 = y/5
5cos20 = y

y = 4.70

Hope this helps.

From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?

Answers

Answer:

1974.6 feets

Step-by-step explanation:

The plane's altitude is : h + 100 feets

To obtain h, according to the attached picture ;

We can use trigonometry :

Tan θ = opposite / Adjacent

Opposite = h ; adjacent = 3000 feets

Tan 32° = h / 3000

h = 3000 * 0.6248693

h = 1874.6080

Plane's altitude :

h + 100 feets

(1874.6080 + 100) feets

= 1974.6 feets

(2+5i)(6-i) simply ........

Answers

Answer:

17+28i

Step-by-step explanation:

TELL ME IF IM RIGHT PLEASR

Answer:

=17+28i

Step-by-step explanation:

Part 1:


Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.


Part 2:


If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item.

Answers

Answer:

Part 1 : y = 0.75x

Part 2 : $750

Step-by-step explanation:

Part 1

Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.

Let y be the sales price of the tv and x its regular price. Since its sales price = regular price - discount, and our discount is 25% of the sales price, that is 0.25x, we have

sales price = regular price - discount

y = x - 0.25x

y = 0.75x

Part 2:  If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item

Since the sales price, y = 0.75x,and x = regular price = $1000,

substituting x into y, we have

y = 0.75x

y = 0.75($1000)

y = $750

Which expression is represented by the model?

Answers

I don’t know if it is right but go with A.

PLZ NEED HELP ASAP!!!!!!!!....
Choose the inequality that best matches each given situation.

The Garden Club is planting fruit trees in their school’s garden. There is one large tree that needs 5 pounds of fertilizer. The rest are newly planted trees that need pound fertilizer each.
A:25 x + 5 ≤ 12
B:1/2 x + 5 ≤ 25
C:1/2 x 25 ≤ 5
D:5 x + 1/2 ≤ 25
NEED HELP

Answers

Im not 100% sure but i believe it would be C

Answer:

im positive you don't need the answer anymore but i'm 96% sure it's B for anyone who's searching up the question

Step-by-step explanation:

(when I answered the question it had a check your answer thing and said B was right)

Help!
This is for Patterns, Functions, and Algebra!

Answers

you didn't ask the question

What is the definition of an inscribed angle

Answers

Answer: an inscribed angle is the angle formed in the interior of a circle when two secant lines intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

Step-by-step explanation:

40% of students play an instrument if 8 represents the amount of students who play an instrument how many students are in this class

Answers

Answer:

500 students

Step-by-step explanation:

Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

Answers

Answer:

14.45

Step-by-step explanation:

Since the solution in this case is C=π(d)/Circumference=pie * diameter you insert 3.14 for pie and 4.6 for the diameter than multiply them together to get 14.444 and it said to round to the nearest hundredth if necessary so now its 14.45.  Hope this helps!

Help me out !! I’ll appreciate it !!

Answers

I would go with 1/2.

WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?

Answers

Me das mas información porfavor?

7th grade math help pleasee

Answers

Answer:

Step-by-step explanation:

(a) 7x = 56

divide through by 7

x= 8

(b) 4n = 48

divide through by 4

n = 12

(b) 5c = 80

divide through by 5

n = 16

Answer:

a. 8

b. 12

c.  16

Step-by-step explanation:

7x= 56

You have to get x alone so divide

Divide by 7 to get answer (whatever you do to one side, do to the other)

x= 8

EDIT:

4a. 7x=56

7x/7 = 56/7

x= 8

4b. 4x=48

4x/4=48/4

x= 12

4c. 5c= 80

5c/5=80/5

c=16

the same goes for the rest

p.s. pls practice your multiplication as you will need it throughout high school :)

calculate the rate of change

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

pls help no wrong answers pls

Answers

Answer:

a, b, e

Step-by-step explanation:

It is proportional since it goes at the same rate on the x and y

It has a rate of 8.5 since 17/2=8.5

at the rate of 8.5 y per one x then 4 8.5's would make 34

To make the graph put a dot at
(1, 8.5)
Because...
Y=8.5(1)
Y=8.5
And another one at....
(-1, -8.5)
Because....
Y=8.5(-1)
Y=-8.5
And the mutely choice answers is...
A)
It’s true since it goes though the origin
B)
Unit rate if change is slope and it is
B is true
C)
In b, we identified the slope so this can’t be true
D)

It states x=17 and y=2
So...
Y=8.5(17
Y.>2
D is not true
E)
It states x=4 and y=34
So...
Y=8.5(4)
Y=34 which is true
e is true


Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies and 5 batches of 90 cookies, how many cookies
does he bake?
360 cookies
450 cookies
810 cookies
800 cookies​

Answers

810 cookies
Hope this helps!

Answer:

810 Cookies

Step-by-step explanation:

6x60=360

5x90=450

360+450=810

Expand and simplify (y+3)-(y-2)

Answers

(y + 3) - (y - 2)

= y + 3 - y + 2

= y - y + 3 + 2

= 5

Answer:

5

Step-by-step explanation:

Given

(y + 3) - (y - 2) ← distribute parenthesis

= y + 3 - y + 2 ← collect like terms

= 5


Do parallel lines that are not vertical have the same slope?


Yes or no

Answers

Answer:

Yes

Step-by-step explanation:

If the lines were vertical, the slope would be undefined (you can't divide by 0).

If the lines were otherwise, the lines have the same slope if they are parallel.

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