Alphonse is x years old and Beatrice is y years old. Three times Alphonse’s age is five times Beatrice’s age. Twice more than Beatrice’s age is four more years than Alphonse’s age. How old is Alphonse and Beatrice

Answers

Answer 1

Answer:

Alphonse is 20 and Beatrice is 12 years old

Step-by-step explanation:

Set up equations as below

Three times Alphonse’s age is five times Beatrice’s age

⇒ 3x = 5y

Twice more than Beatrice’s age is four more years than Alphonse’s age

⇒ x + 4 = 2y

Solve the system by substitutionx = 2y - 4 ⇒ 3x = 3(2y - 4) = 6y - 126y - 12 = 5y6y - 5y = 12y = 12Find the value of xx = 2*12 - 4 = 24 - 4 = 20

Related Questions

Use the following data set to complete the problems.

23, 26, 50, 39, 55, 64, 50, 20, 42, 35, 51, 42, 43, 56, 64, 48, 48, 57, 27, 37

1. List the data values in order from lowest to highest.
A-

2. Find n, the number of data values.
A-

3. Find the width for a frequency distribution with 5 classes of equal width.
A-

4. Create a frequency distribution table.
A-

5. Show that the frequencies in the table add up to the sample size.
A-

6. Create a histogram.
A-

*The images is the way you do the work*

Answers

Answer:

The interval 44-47 has a frequency of 3 .

The interval 48-51 has a frequency of 4.

The interval 56-59 has a frequency of 1.

The given data set is:

42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59

The number lying in the interval 44-47 are :46, 47, 47

So the interval 44-47 has a frequency of 3.

The number lying in the interval 48-51 are :48, 49, 50, 51

So, the interval 48-51 has a frequency of 4.

The number lying in the interval 56-59 is: 59

So, the interval 56-59 has a frequency of 1.

Step-by-step explanation:

what fraction of the books read thisyear were read by Jim?
pls explain​

Answers

Answer:

16/70 = 8/35

Step-by-step explanation:

Jim read 16 books.

Everyone, all together read

16+4+10+8+14+6+12

=70 books.

Jimsbooks/Totalbks

16/70

= 8/35

Jim read 8/35 of the total books read.

Which of the following will NOT form a tessellation?
A. regular triangles
B. regular heptagons
C. regular hexagons
D. squares

Answers

Answer:

Regular triangles or squares

Answer:

d

Step-by-step explanation:

Help me please if you can

Answers

Answer:

Step-by-step explanation:

Red blood cells : Platelets = 680 : 40  = (680÷10)  : (40÷10)

                                           = 68 : 4 = (68÷4) : (4÷4)

                                           =  17 : 1

                                           

Persephone is creating a flower garden in her back yard. Is she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden?

Answers

Answer:

don't know the dimensions of the garden, but it's just the area*30

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:c

Step-by-step explanation: commutative property is just moving things around, so that should work.

Seven times a number, x​

Answers

Step-by-step explanation:

How to complete this problem?

Write out from word format to number format.

We have the word expression:

Seven times a number x.

Seven and x are the two terms included in our expression, and we'll be multiplying both of the terms.

Times is short for multiplying.

When including key words:

'Seven' 'times' 'x'.

[tex]7 \times x[/tex]

Also represented as:

[tex]7x[/tex]

somebody help me :(

12x+6y=120
4x+y=30

Answers

Answer:

x=5, y=10. (5, 10).

Step-by-step explanation:

12x+6y=120

4x+y=30

-------------

2x+y=20

4x+y=30

----------------

y=20-2x

4x+(20-2x)=30

4x+20-2x-30

2x-30-20

2x=10

x=10/2

x=5

4(5)+y=30

20+y=30

y=30-20

y=10

Answer:

12x+6y=120

4x+y=30

using elimination method.

12x+6y=120 -----(1) ×4

4x+y=30----------(2) ×12

48x+24y =480

-48x+12y =360

12y =120

y= 10

To get x sub. y for 10 into equation (2)

4x+y=30

4x+10=30

4x=30-10

4x=20

x=5

x=5 , y=10

Factor this expression. Select the correct answer from each drop-down menu.

3x^2-11x-20

Drop Down menu is same for both:
2 , 4 , 5 , 10


will award a lot of points

Answers

the answer is (3x+4)(x-5)

Answer:

2 and 5

Step-by-step explanation:

Use the sum-product pattern

3x^{2}{\color{#c92786}{-11x}}-20

3x^{2}+{\color{#c92786}{4x}}{\color{#c92786}{-15x}}-20

2

Common factor from the two pairs

3x^{2}+4x-15x-20

x(3x+4)-5(3x+4)

3

Rewrite in factored form

x(3x+4)-5(3x+4)

(x-5)(3x+4)

Solution

Cones A and B are similar.
The volume of cone A is 1080cm3.
The volume of cone B is 1715cm3.
Calculate the height,
h
, of cone A.

Answers

Well it's not possible to find height with knowing cone B's height or radius .Steps provided below if you have pic you can solve by yourself.

Radius is similar in both cones.(Ignore it)Height may be different but they must be similar.The ratio of height to volume remains same .Now put the values and solve for height of h

If you have $16
$

16
and you spend $5
$

5
on a sandwich, drink, and chips, what fraction of your money did you spend?

Answers

Answer:

5/16

because you spent 5 of the 16th

Answer:

5/16

Step-by-step explanation:

true true because the total was 6 and she spent only 5.:>

can somebody give me the answer to this im trying to get my grades up..

Answers

1. 45/6 = 7.5
7.5*10 = 75
So the penguin walks 75 ft in 45 seconds.

2. 45/10 = 4.5
4.5*6 = 27
The penguin takes 27 seconds to walk 45 ft.

Hey!

Let's see... if they walk 10 feet in 6 seconds,  then they walk about half a foot a second (0.6 to be exact.)

Multiply 0.6 by 45 and your answer should be.. 27. So, they walk 27 feet in 45 seconds.

Next, we keep multiplying 0.6 by a number over 45, but under 100, and the total amount of time it takes for a penguin to was 45 feet is... 75!

We know this because 75x0.6 is 45. and 75 is the number of seconds it takes to walk 45 feet for the penguin.

Your answer for #1 is 27

Your answer for #2 is 75

Say, mind doing me a favor and hitting the brainliest button? it would help tons!

~~~PicklePoppers~~~


The coordinates of the point V are (3,-10) and the coordinates of point W are (3,-3). What is the distance, in units, between the point V and point W?


Answers

Answer:

I

Step-by-step explanation:

werwewr

Miku solves the equation below by first squaring both sides of the equation.
\sqrt{z^2+2z-3}=z-3
z
2
+2z−3

=z−3square root of, z, squared, plus, 2, z, minus, 3, end square root, equals, z, minus, 3
What extraneous solution does Miku obtain?
z=z=

Answers

Extraneous solutions are untrue solution of an equation

Mike does not obtain any extraneous solutions

How to determine the extraneous solutions

The equation is given as:

[tex]\sqrt{z^2+2z-3}=z-3[/tex]

When squared, it becomes

[tex]z^2+2z-3=z^2-6z + 9[/tex]

Evaluate the like terms

[tex]2z-3=-6z + 9[/tex]

Collect like terns

[tex]6z + 2z = 9 + 3[/tex]

Evaluate the like terms

[tex]8z = 12[/tex]

Divide through by 8

[tex]z = 1.5[/tex]

Substitute 1.5 for z in the given equation

[tex]\sqrt{z^2+2z-3}=z-3[/tex]

[tex]\sqrt{1.5^2+2*1.5-3}=1.5-3[/tex]

Evaluate

[tex]\sqrt{2.25}=-1.5[/tex]

Determine the square root of 2.25

[tex]-1.5=-1.5[/tex]

Hence, Mike does not obtain any extraneous solutions

Read more about extraneous solutions at:

https://brainly.com/question/2959656

determine all combinations of lengths that could be used to make a traingle 1,3,6,8

Answers

Answer:

3, 6, and 8 for a triangle

Step-by-step explanation:

So, let's start with what we know

The sum of the 2 lesser lengths of a triangle must be greater than the greatest length of a triangle. Otherwise, it cannot be a triangle

a + b > c

Note: variables a and b are the lesser lengths of a triangle, and c is the greatest length.

We are to list out the possible combinations of triangles here with lengths  1, 3, 6, and 8.

So, with the formula above, we will get the combination of

3,6,8

Any other combinations of triangle lengths will not work

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

please

help due soon.

The choices are plan a,b,c, and non of them

Answers

Answer:

it's a then c then a then b

Step-by-step explanation:

doneeee

a line passes through the origin (3,5) and (-12, b) what is the value of B?

Answers

Answer:

b = -20

Step-by-step explanation:

Let's start by finding the slope of the line.

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Origin: (0, 0)

We can use (0, 0) and (3, 5) to find the slope:

[tex]Slope=\frac{5-0}{3-0}=\frac{5}{3}[/tex]

Then, we can plug this into the equation for slope to find the value of b (the slope has to be the same, since they're on the same line)

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{5}{3}=\frac{b-5}{-12-3}\\\frac{5}{3}=\frac{b-5}{-15}\\\text{Multiply both sides by -15}\\\frac{5}{3}(-15)=b-5\\\frac{-75}{3}=b-5\\-25=b-5\\\text{Add 5 to both sides}\\b=-20[/tex]

A set of speakers for a classroom cost 365.23. The school needs to place them in 42 classrooms. How much will it cost to place speakers in all of the classrooms?

Answers

Answer:

$15339.66

Step-by-step explanation:

Let's start with what we know,

1 classroom = 1 set of speakers

1 set of speakers = $365.23

The school has 42 classrooms

Find how much it will cost to place the speakers in all of the classrooms

To find the amount it will cost, you will need to substitute values

1 school = 42 classrooms

              = 42 sets of speakers

              = 42 (365.23)

              = 15339.66

It will take $15339.66 to place the speakers in all of the classrooms at the school.

Your welcome, and feel free to ask any questions you may have in the comments section! :D

please solve im gonna fail

Answers

Answer:

144

Step-by-step explanation:

area of square is 132 + area of 2 triangles = 12 then add

Mathematics EVALUATE 483 075-21 554?​

Answers

Answer:

461 521

Step-by-step explanation:

use calculator ‍♂️

Aaron runs a distance of 7.2km in the SE direction. How far east has Aaron run? Answer correct to one decimal point

Answers

Step-by-step explanation:

cos 45° = distance to east / total distance=7,2

distance to east = cos 45° * 7,2 = 5,1 km

3/4 x (z exponent 3 x 4)
Find the equivalent expression.

Answers

What ? I wish I can help

Please help with these questions thank you all so much

Answers

1.26 A. 2 D. This is a filler lol

i could use some help
am i correct please don't lie

Answers

4yd*2yd*5yd=76^2
And that is the answer

Ivan has a piece of material that is 4 feet long. He cuts it into 7 equal pieces. Which equation shows how to find the length, in feet, of each piece of material?

Answers

You have not provided the options, but this solution is an equation that will work:

Answer:

4 / 7 = x

Step-by-step explanation:

      Since the total material is 4 feet long, we can divide 4 feet by 7, the number of equal pieces cut, to see how long each piece is.

      This gives us an answer of 4/7 or about 0.571

Choose the correct algebraic expression for the verbal phrase below.

The product of 10 and f minus 4

4f-10

10(4)

10f-4

Answers

So According to me the answer is

10(f-4)

Because it says the product and product means multiply and brackets also means multiply so the product if 10 AND f-4

It takes Andre 4 minutes to swim 5 laps. How many laps per minute is that?
pls what is this

Answers

It takes Andre 1.25 minutes to swim a lap.

Step-by-step explanation:

Answer this question pllllllllllllllllllllzzzzzzzzzzzz

Answers

Answer:

5x-3

Step-by-step explanation:

unknow is x then do the thing get the answer

Solve the following inequality then place the correct answer in the box provided 8x-1<15

Answers

Answer:

x < 2

Step-by-step explanation:

8x -1 < 15
Add both side by 1 : 8x < 16
x < 16/8 => x < 2

Henry's family drove 425 miles. How many more
miles do they need to drive to reach 1,000 miles?

Answers

Answer:

I'm pretty sure the answer is 575 :D

Step-by-step explanation:

1,000 minus 425 is 575. have a good day!

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