Jennie is 5 years younger than Sammie. Five years ago, Sammie was four times older that Jennie. How old are they now?

Answers

Answer 1

Answer:

  Jennie is 6 2/3

  Sammie is 11 2/3

Step-by-step explanation:

Let s represent Sammie's age now. Then Jennie's age now is s-5. Their ages 5 years ago had the relation ...

  (s) -5 = 4((s-5) -5)

  s -5 = 4s -40

  35 = 3s . . . . . . . add 40-s to both sides

  35/3 = s = 11 2/3 . . . . divide by 3

  si -5 = 11 2/3 -5 = 6 2/3

Sammie is 11 2/3, and Jennie is 6 2/3 now.

_____

Check:

Five years ago, their ages were 6 2/3 and 1 2/3 = 20/3 and 5/3. Sammie was 20/5 = 4 times as old as Jennie then, as required.

_____

Alternate solution

The difference in ages remains constant, so it was the same 5 years ago. Sammie was 4 times Jennie's age at that time, so the difference in their ages was 3 times Jennie's age. That is, 5 years was 3 times Jennie's age at that time, so Jennie was 5/3. At present, Jennie is 5/3 +5 = 20/3 = 6 2/3, and Sammie is 5 years older, so 11 2/3.


Related Questions

Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.

Answers

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

PLSSS HELP ITS ABOUT TRIANGLE SIMILARITY!!!!

Answers

Answer: B

Step-by-step explanation:

If the angles were not the same, the shape would not join or close

Plz help me get the right answer

Answers

that is the answer i hope you get it right!

15. A rectangular wooden gate with two diagonal boards across the front
is shown below. If the length of one of the diagonals is 14 feet, find the
closest value of x, the width of the gate. *

Answers

cute ako☁

Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.

Equation: y=

Answers

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

-3 • -1=
this is to difficult-

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

When multiplying and dividing with negative numbers, use this key to help:

( - ) x ( + ) = ( - )

( + ) x ( + ) = ( + )

( - ) x ( - ) = ( + )

For example, with your problem, Both numbers are negative, meaning that the end result will be positive. -3 x -1 = 3

2. The scale drawing of a playground is 4.7 cm wide and 6.2 cm long. The playground is 15 m wide. How long is the playground?​

Answers

Answer:

A scale drawing of a playground is 8 inches wide by 11 inches long. The actual playground ... The scale of a map says that 6 cm represents 15 km. What distance on ... car in centimeters. The car is 4.4 meters long and 1.4 meters tall. ... 10 Qs. Scale Drawings. 7.4k plays · 15 Qs. Scaled Copies and Scale Factor. 13.3k plays.

Step-by-step explanation:

Find an object that has a length dimension (length, width or height) of 1 mm. ... d 6.2 m (cm) ... 15 Which unit of length (mm, cm, m or km) would be most suitable for ... diagram and show all the measurements you found, including the units. ... the perimeter of each shape by using a ruler to measure each side to the nearest.

Answer:

The playground is 437.1 cm long

Step-by-step explanation:

you have to do ( length x width x height) so u basically have to do 4.7 x 6.2 x 15 = 437.1 cm

PLEASEEEEE HELPPP!

Subtract and simplify (2y + 34.8m + 3.8) - (14.6m + 15.6 + 2y)

Answers

Answer:

20.2 m − 11.8

Step-by-step explanation:

Answer:

20.2m-11.8

- hope it helps

Steve is trying to figure out the ages of his 3 uncles.

Uncle Bill is twice as old as Uncle Tom. Uncle Keith is
5 more than Uncle Bill. He knows that the sum of their ages is 75.

What are the ages of his 3 uncles?

Answers

Tom = 14
Bill = 28
Keith = 33


Tom = x
Bill = 2x
Keith = 2x+5

5x+5 = 75
5x = 70
x = 14

Tom = x = 14
Bill = 2x = 28
Keith = 2x+5 = 33

PLEASE HELP!!!!!!!!!!!!!!!

Answers

I would say it would be 55 and if this question.If you get the answer incorrect my apologies

Step-by-step explanation:

40 + y + y + 30 = 180

2y + 70 = 180

2y + 70 (-70) = 180 (-70)

2y = 180 - 70

2y = 1102y/2 = 110/2

y = 110/2

y = 55

helped by AnimeBrainly.

Juana baked 150 cookies for the bake sale and ate 10% of them. How many cookies did
Juana eat?

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{150x10}{100}[/tex]=[tex]\frac{1500}{100}[/tex]=15

someone help
+ I need to show my work

25.12 + 4.75

Answers

Answer:

29.87

Step-by-step explanation:

graph the equation...
0.5s+4a=15​

Answers

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

x cm
8 cm
2x cm
1 cm
The longest side on the shape is 12 cm
Work out the value of x.

Answers

Answer:

The value of x must be 6. Because as it is said that the longest side of this shape is 12 therefore, if 2 is multiplied with 6 one of tge sides is 12, which is the biggest.

Hope it helps!!

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

Mark went fishing on four Saturdays.
Week 1
Week 2
Week 3
Week 4
Number
of fish caught
4
1
6
3
Time fishing
2.5 hours
1.5 hours
5 hours
2.5 hours
Mean weight
of fish caught
1.2 kg
2.3 kg
0.8 kg
1.9 kg
Mark says,
"One of the fish I caught weighed 5 kg."
In which week did this happen?
(2 marks)
O Week 1
O Week 2
O Week 3
O Week 4

Answers

Answer:

Week 4

Step-by-step explanation:

Week 1 : 4*1.2 = 4.8kg Impossible

Week 2 : 1*2.3 = 2.3kg Impossible

Week 3 : .8*6 = 4.8kg Impossible

Week 4 : 1.9*3 = 5.7kg Possible..

Time fishing : DOESN'T MATTER AT ALL

Can someone pls help me with this?

Answers

Answer:

the answer would be c

Step-by-step explanation:

If the train is moving at a constant rate then the graph would have to show a straight line.

Draw the image of ABC under the translation (x, y) + (x,y-3).

Answers

Answer:

no identity will escape! I know where you live

Hans is on the swim team. Each week he swims a total of 4000 meters. How many kilometers does he swim each week?

Answers

Answer:

4 kilometers

plz give brainliest

Step-by-step explanation:

Answeri think 40 kilo

Step-by-step explanation:

Find the missing number in the proportion below
3.4 = 6. __?

Answers

6.8 pretty sure. Have a great day/night :)

I need help this is due soon. Answers maybe...

Answers

Answer:

points you can use : (0,0), (1,4), (2,8)

Step-by-step explanation:

What is the angle of rotation for point S mapped to point R?

Answers

Answer:

60 degrees counterclockwise

Step-by-step explanation:

One circle is 360 degrees.

If the circle is split into 6 pieces, (360/6 = 60), then each piece is 60 degrees, like in the example.

Answer:

60 degrees counterclockwise

Step-by-step explanation:

6th grade math help me pleaseee

Answers

The answer is between 17 and 18.

18 x 18 = 324
17 x 17 = 289
So it would be in between

Answer:

between 17 and 18

Step-by-step explanation:

x² = 315

To find the range that the value is in, you need to know the perfect squares before and after 315.

17² = 289

18² = 324

289 < 315 < 324

This means √315 is between 17 and 18.

Solve the following:

4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2

Answers

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

Del Taco sells 4 Tacos for $5.00. Taco Bell sells 5 tacos for $7.50. is a better deal, because it costs less per taco.

Answers

To what I think is Del Taco is a better deal to be less cost per taco. Del Taco $5.00 divided by 4=$1.25 per taco. Taco Bell $7.50 divided by 5=$1.50 per taco. The difference getting one more to be a total of 5 taco from Del Taco to be equal Taco Bell only cost is $0.25 more while Taco Bell charge you like $2.50 more from Del Taco of the difference to have just one more taco which is a rip off

Answer:

$12.50

Step-by-step explanation:

Select all ordered pairs that correspond to input-output pairs of the function y = −7x + 6.

Answers

Answer:

There are no options, so i will answer in a general way.

In a function:

y = f(x)

The output is y, and the input is x, and the ordered pair is written as (x, y)

In this case, we have the function:

y = -7*x + 6

Then we need to have different inputs and then find the outputs for each.

For example, if x = 1.

y = -7*1 + 6 = -1

Then we have the ordered pair (1, - 1)

if x = 0

y = -7*0 + 6 = 6

then we have the ordered pair (0, 6)

The general ordered pair is written as:

(x, y =  -7*x + 6)

or:

(x,   -7*x + 6)

Where you only need to replace the value of x.

Can someone pls help me?

Answers

Answer:

80 or 100

Step-by-step explanation:

hope you find the answer

Answer:

it's 105°

solution:-

Because we know that exterior angle of a triangle is equal to it's sum of the opposite interior angles.

Step-by-step explanation:

therefore,

ATP(according to the problem) - sum of opposite interior angles = ?

- 80°+25°= 105°

(Ans) is 105°

The side length of the base of a square pyramid is 30 centimeters. The height of pyramid is 45 centimeters.

What is the volume of the pyramid in cubic centimeters?
A) 13,500 cm3
B) 40,500 cm3
C) 900 cm3
D) 1,350 cm3

Answers

Answer:

1/3 x base area x height

Step-by-step explanation:

Hi

Solve for x.

Please help !

Answers

Answer:

x = 37 1/2x = 2

Step-by-step explanation:

Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.

1. x/20 = (46 -16)/16

  x = 20(30/16)

  x = 37.5

__

2. (x +4)/13.5 = 4/9

  x +4 = 13.5(4/9) = 6

  x = 6 -4

  x = 2

Theequationforlinefcanbewrittenasy = –3x − 6
. Line
gisparalleltolinefandpassesthrough
(6, –8) . What
istheequationofline
g ?


Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answers

Answer:

Step-by-step explanation:

f(x) = -3x-6

slope of line is -3

parallel lines have the same slope

point-slope equation for line of slope -3 that passes through (6,-8):

y+8 = -3(x-6)

put equation into slope-intercept form:

y = -3x + 10

Answer:

[tex]y = - 3x + 10[/tex]

Step-by-step explanation:

We are asked to find a line parallel to line f

[tex] - 3x - 6[/tex]

and passes through 6,-8.

Parallel lines have the same slope so our new line will also has-3 as it slope

wo using the slope intercept form let update our equation so far.

Slope intercept is

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept

plug in -3 for the slope since our new equation must be parallel.

[tex]y = - 3x + b[/tex]

Now plug 6 for x and -8 for y.

[tex] - 8 = - 3(6) + b[/tex]

[tex] - 8 = - 18 + b[/tex]

[tex]b = 10[/tex]

Our equation is

[tex]y = - 3x + 10[/tex]

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