Mathematics High School

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

A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

4.79

Hope this helps! :D

Answer: 0.2

Step-by-step explanation:

What is the volume, in cubic feet, of this cylinder?
10 ft
20 ft

Answers

The answer would be 200 because multiplying 10×20 gives you 200

Please answer asap
no work needed :)

Answers

Answer:

2x+12 simplified is x+4

X+4 is the answer I think

PLZ HELP IF CORRECT ILL GIVE U BRAINLIEST

Answers

Answer:

32.25

Step-by-step explanation:

Fidel has a rare coin worth $550. Each decade, the coin's value increases by %10
Which kind of function best models the relationship between time and the coin's value?

Answers

Answer Answer Answer Answer

Answer: Exponential

Step-by-step explanation: I did it in khan

3. Find the products.
a) (a? + 4) (a? – 4)​

Answers

Answer:

a^2-16

Step-by-step explanation:

you just a.a+a.-4+4.a+4.-4=a^2-16

All points of a sphere are ______ equal distances to its center.
Always
Never
Sometimes

Answers

A) Always

In a perfect sphere the centre is an equal distance from any point from the surface.

THANK YOU!!

∝ Sidhdi


can someone help me to solve these two problems pls I will really appreciate I will mark you the brainly!

Answers

Answer:

12. 524 in³ (3 sig. fig.)   13. 2000 cm³ (3 sig. fig.)

Step-by-step explanation:

12. Volume of sphere = (4/3)πr³

= 500/3π

= 524 in³ (3 sig. fig.)

13. Volume of cylinder = πr²h

= 7²π(13)

= 637π

= 2000 cm³ (3 sig. fig.)

Help me with this!!!!!

Answers

Answer: GH=16

Step-by-step explanation:

Equal triangles have equal sides

plzzz help me with this math im so confused!!

Answers

Answer:

I have made it in above picture

Answer:

2 A.)

1) 3-4x+8x^2-6+2x-5x^2

2) 8x^2-5x^2-4x+2x+3-6

3) 3x^2-2x-3

B.) 3x-5-7x^2+2+6x^2+5x

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

PLS HELP. If the spinner shown below was used 100 times, how many times can you expect to spin a number greater than 3?

3
60
2
40​

Answers

Answer:

60 times

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{230 - 5} [/tex]
​

Answers

Answer:

i think it is 345 but not sure

Step-by-step explanation:

Which of these is a Pythagorean Triple?
1,1 square root of 2.
1, square root of 3, 2
11, 50, 51
20, 21, 29​

Answers

Answer:

1, 1, sqrt of 2

Please help i dont know if this is right? ​

Answers

"just do it"- adidas

just yolo it

in these equations a represents the vertical stretch or compression. A -a inverts the graph. h represents the horizontal transformation x-h translates to the right, x+k translates to the left. K translates vertically + up - down. Your B & C answers are correct. You need to fix your A & D answers.

18 entre 12 (división) Porfa respondan, mi ama me pega con la chancla si no lo hago,, es lo único que me faltam

Answers

Answer:

Step-by-step explanation:

18 dividido por 12 es 1.5 , esto se puede probar haciendo division larga o multiplicando 1.5 por 12

1.5 * 12 = 18

Espero que te haya ayudado la respuesta y que ahores el chancletazo.

Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.

Use your graph to determine the point of intersection.
​

Answers

Answer:

Step-by-step explanation:

I can draw graphs on the application

eq1)  is a line through y = 5 with a negative slope of -1    y = -x + 5

eq2) is a vertical line at x = 1/2  NO y intercept or slope  

       -2x = -1 --->  x = -1/-2    =  1/2

They intersect at    

       y = -x + 5      and x = 1/2      Substitute x=1/2 into

       y = -1/2 + 5

       y = 4.5

intersect at  (1/2, 4.5)

       

Solve for x: 5x = 2/7

Answers

5x=5=2/7 divided by 5

X=2/7 x 1/5

X=2/35

X=0.0571428

6
7
8
9
10
What is the simplified form of the following expression?
7(V2x) - 3(V16x)-3(Vox
0 -5(2x)
o 2x-6(K)
0 -(/2X) - 6(V)

Answers

Answer:

is there a pic u could show?

Step-by-step explanation:

Write a fraction for each percent.

75% of 96

Answers

Answer:

72/96

Step-by-step explanation:

Can any of you guys help my cousin with her homework its very confusing to me I'm not very good at math so please help her she gotta have everything turned in by Friday!!

Answers

Simplify 5/15: the numerator and denominator are both multiples of 5, so the fraction can be reduced to 1/3 by dividing the top & bottom by 5. 5/15 of a rectangle is the same as 1/3 of a rectangle.

Compare 1/2 and 5/7:
The simplest way is to ask if 5/7 is more than one half. Half of 7 is 3.5, and 5 is greater than 3.5, so 1/2 < 5/7.
The way that is a little more work is to get a common denominator and make equivalent fractions of 7/14 and 10/14.

Fraction to decimal of 4/5. 4 divided by 5 = 0.8

Decimal to fraction, 0.78:
0.78 = 78 hundredths = 78/100 as a fraction. They usually want fractions in the lowest terms, so divide the numerator and denominator by two, and you have 39/50.

Mixed to improper fraction 5 2/9: multiply the denominator of 9 times the whole number of 5, that equals 45. Add the 2 in the numerator, that is 47. Keep that over 9, because we are trying to figure out how many ninths we have. 5 2/9 = 47/9

Add ‘em 3/5 + 1/2:
Make equivalent fractions with a common denominator. (10 is the least/lowest common denominator). So we are adding 6/10 + 5/10 = 11/10 or 1 1/10.

Improper to mixed, 9/4:
We have 9 fourths. 4 fourths = 1 whole. So we get 2 wholes with 1/4 left over. 9/4 = 2 1/4.

Subtract ‘em, 3/10 - 1/5.
Again, need a common denominator/equivalent fraction. 1/5 = 2/10
3/10 - 2/10 = 1/10

Draw it, 1/3:
The circle is already divided into thirds. Shade one of them in.

Multiply ‘em 2/3 x 5:
Multiply the numerator times the whole number, leave the denominator alone. 2/3 x 5 = 10/3 = 3 1/3 if they want it converted to a mixed number.

Divide ‘em: 8/9 divided by 3 is 8/27

What’s the word?
4 x 1/2 = 2 (what is one half of 4?)

Word up:
3/5 divided by 3 = 1/5

Your grade? 14/14 = 100%

Please let me know if you have questions. Please mark brainliest if you can :) Thank you!

Please help me i don't have that much time

Answers

Answer:

D) 128

Step-by-step explanation:

4(0.5)^-5

4(32)

128

The total of your bill at the restaurant is $42.50.You want to leave a 10%tip. What is the amount of money you would leave for the tip. Brainly

Answers

Explanation is in the file

tinyurl.com/wpazsebu

10%=0.1
$42.50 x 0.1= $4.25 tip

Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?

Answers

Answer:

NO

Step-by-step explanation:

I THINK THE RIGHT ANSWER IS RHS THEOREM.

GIVING BRAINIEST IF CORRECT!!

Amanda slept for 1/3 of the day. She played with her friends for 1/5 of the day. She spent the rest of the day working on a school project. What fraction of the day did she spend working on her project?

Answers

Answer:

She spent 7/15 of the day working on her project.

Step-by-step explanation:

Well we cant get a clear answer with the fractions 1/3 and 1/5, so we are going to have to turn them into equivalent fractions.

3 and 5 both have 15 LCD so:

1/3 x 5/5 = 5/15

1/5 x 3/3 = 3/15

5/15 + 3/15 = 8/15

15/15 - 8/15 = 7/15

She spent 7/15 of the day working on her project.

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?

Answers

Answer:

Sorry I don't know this language

The Adams family bought a small piece of land in the hill country. The plot is in the shape of a rectangle and measures about 50 yards by 41 yards. What is the area of the plot?

Answers

Given:

The dimensions of a rectangular plot are 50 yards by 41 yards.

To find:

The area of the plot.

Solution:

We know that, the area of a rectangle is

[tex]Area=Length\times width[/tex]

So, the area of the rectangular plot is:

[tex]Area=50\times 41[/tex]

[tex]Area=2050[/tex]

Therefore, the area of the rectangular plot is 2050 square yards.

The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)

Answers

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2

Answers

Answer:

(1.25, -1.5)

Step-by-step explanation:

The system of equations:

y = -2x + 1

y = -3/2

So we know that the two lines meet at the point where y = -3/2 = -1.5

∴ -1.5 = - 2x + 1

2x = 1 + 1.5 = 2.5

x = 2.5 ÷ 2 = 1.25

So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)

Find the discriminant. (Must Show Work)

-9m^2+m-7=0

Answers

Answer:

-251

Step-by-step explanation:

the discriminant .b^2-4ac

=1-4×(-9)×(-7)

=1-252=-251

HELPPPP PLSSSSS!!! ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

752÷2= 376

52÷2÷ 26

376- 26= 350 adult tickets

376+26= 402 student tickets

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