Alex is y years old. Bella is 4 years older than him .Carla is double Alex's age. The sum total of their age is 32
Form and solve an equation to work out the ages of the three children

Answers

Answer 1

Answer:

Alex is 7, Bella is 11, and Carla is 14

Step-by-step explanation:

Equation is 32=y+2y+(y+4)

To solve:

First combine like terms (the y's)

32=4y+4

Subtract 4 from both sides

28=4y

Divide both sides by 4 to get y alone

7 =y (Alex's age)

Bella is 4 years older than Alex so 7+4 = 11

Carla is 2 times older than Alex so 2 • 7 = 14

Their ages are supposed to add up to 32.

7+11+14

18+14

32


Related Questions

4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

Answers

Complete question :

Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.

(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?

(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.

Answer:

y = 17x + 5 ;

9 bracelets ;

Sarah is right

Step-by-step explanation:

Contents per bracelet :

Small charms per bracelet = 12

Large charms per bracelet = 5

Blank spacer charms per order = 5

Number charms, y needed for X bracelets in an order ;

1 order ; x bracelets

12 + 5 = 17 small and large charms

5 = black spacer charms per order

y = 17x + 5

B.)

Order requiring 158 charms, number of bracelets :

y = 158

158 = 17x + 5

158 - 5 = 17x

153 = 17x

x = 153 / 17

x = 9 bracelets

Order requiring 264 charms

y = 264

264 = 17x + 5

264 - 5 = 17x

259 = 17x

x = 259 / 17

x = 15.23 bracelets

Sarah is right, the number of bracelets should be a positive integer and not a decimal.

8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4

Answers

Answer:

0 1.4 is the answer

Step-by-step explanation:

well if you round thats why

Answer:

71.4

Step-by-step explanation:

Looked it up

What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income

Answers

Answer:

multiply 63280 by 1.5% (.015).  The answer is $949.20

Step-by-step explanation:

Find the value of x

66°
117°

Answers

Answer:

x = 51 degrees

Step-by-step explanation:

Keep in mind, the angles of a triangle add up to 180 degrees.

A flat line also equals 180 degrees.

First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.

180 - 117 = 63

Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)

63 + 66 + x = 180

Then, you solve for x:

(63+66) + x = 180

129       + x = 180

-129             -129

               x = 51

Hope this helps :)

SOMEONE PLEASE HELP!!!!!

Answers

Answer:

the answer is A and B

Step-by-step explanation:

hope it helps

Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi​

Answers

Answer:

Step-by-step explanation:

Range of cosine is -1 to 1

Range of height is 8 to 40

in angle abcd if b=50 find the other angles ​

Answers

Answer:

angel abcd is not possible

Answer:

can u show the angels?

Step-by-step explanation:

Helpppppppp pls help .

Answers

Answer: X= 1 2 3 4  Y= 5 8 11  14

Step-by-step explanation: i tried my best

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

Answers

Step-by-step explanation:

let the ratio be x

now,

3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)

30x=360°

x=360/30

x=12°

then,

3x=3×12=36°

5x=5×12=60°

9x=9×12=108°

13x=13×12=156°

so,the angles of quadrilateral are 36°,60°,108°& 156°

hope it helps.

A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.

How many days, x, will it take the kitten to double its weight? Write and solve the equation.

Answers

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

Helpppp?? I need help on this cause I just don’t wanna solve it

Answers

Answer:

3 and 3/5

Step-by-step explanation:

Mr.Jessup, an airplane pilot, flies 1,450 miles a day. How many miles will he fly in 8 days? Why?

Answers

Answer: Mr. Jessup will fly 11,600 miles in 8 days. This is because if he flies 1,450 miles a day, and he flies in 8 days, just multiply 1,450 and 8.

Step-by-step explanation:

The cactus grill has decided to run a special on Wednesday night where every table gets 10% off their bill find the total for this table

Answers

B? I pretty sure it’s b

4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)

(This is Trigonometry)

Answers

tan25°=a/87, a (lower half of tower) = 36.0366.
tan40°=x/87, x = 63.209.
subtract 63.209-36.0366=27.1724~27 ft.

please can someone help me with this

Answers

Answer:

Too blurry to read

Step-by-step explanation:

The values of given bases is 1559, 3139, 648 and 170.

We are given that;

The four equations

Now,

a) 66+9t9+48 (base twelve)

[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]

= 72+6+1296+120+9+48+8

= 1559 (base twelve)

b) 5117-324 (base eight)

[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]

= 3272 + 64 + 8 + 7 - (192 + 16 + 4)

= 3139 (base eight)

c) 242 x 14 (base five)

[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]

= (50 + 20 + 2) x (5 + 4)

= 72 x 9 =648 (base ten) = 10130(base five)

d) 101010111 (base two)

[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]

=128+32+8+2=170 (base ten)

Therefore, by algebra the answer will be 1559, 3139, 648 and 170.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ4

Help I will be marking brainliest!!!!

A. 274
B. 300
C. 306
D. 316

Answers

Answer:

300 units

Step-by-step explanation:

Help please and tysm

6 x (5 + 4) - 3 - (2+1)

A 18
B) 30
C) 48
D) 54

Answers

Answer:

54

Step-by-step explanation:

STEW Merlin made 7

8
gallon of stew. Then he

ate 3

4
gallon of stew. How much stew was left over?

Answers

If he made 7 gallons of stew and ate 3 then 4 gallons of stew would be left.
7-3=4
But if he made 8 gallons of stew and ate 3 then their are 5 gallons left.
8-3=5

Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?

Answers

Answer:

A) [tex]AC=DF[/tex]

Step-by-step explanation:

Given

See attachment for triangles ABC and DEF

Options

A) [tex]AC=DF[/tex]

B) [tex]AB=DE[/tex]

C) [tex]\angle B=\angle E[/tex]

D) [tex]\angle A=\angle D[/tex]

Required

Which does not prove the congruence of ABC and DEF using ASA?

From the attachment, we have the following:

[tex]\angle A = \angle D[/tex] --- Angle

[tex]AB = DE[/tex] --- Side

[tex]\angle B = \angle E[/tex] ---- Angle

The ASA theorem means that 1 side of both triangles are equal.

By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.

However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem

Lucy wasn't allowed to have any pets so she collected stuffed animals instead. She had 36 animals total. 3/12 of them were bears and 4/6 of them were dogs. What fraction of the animals were either dogs or bears?

Answers

You can increase fractions and they will tell you also
3/12 times 3=9/36 bears
4/6 times 6= 24/36dogs
So 33 of the animals were dogs or bears
But to simply add the fractions make the denominator the same by timesing the 4/6 by 2
So 3/12 plus 8/12 is
11/12
So 11/12 is your answer.
Hope this helps good luck brainliest would be appreciated

HELP PLEASE!

The initial population of Rochester is 17,500 and is
projected to grow at a rate of 4.5% perdecade.
Write an expression for the projected population
of Rochester after “n” decades.

Answers

Answer:

Step-by-step explanation:

I still...really don't know

Choose the answer that best represents the situation described below. George is climbing a mountain. He knows that the higher the mountain, the more time the climb will take.
A. The time to climb the mountain is a function of climbing speed.
B. The height of the mountain is a function of climbing speed.
C. The time to climb in the function of its height.

Answers

It’s c the time to climb in the function of its height

Question below. Write an equation.

Answers

Answer:

16=3*2+5x

Step-by-step explanation:

3 is how many notebooks, 2 is cost per notebook, 5 is the cost of binders where x is the amount to bought, and 16 is how much you spent

Answer:

16 = 5x + 6

Step-by-step explanation:

You spend $16 on 3 notebooks and x binders. Notebooks cost $2 each and binders cost $5 each.

From this, we can see that our total amount of money spent is $16. This goes on one side of the equation.

T = 16

You have bought 3 notebooks that cost $2 each. An equation would be

n = 2x with x the number of notebooks bought. Plug 3 into x.

n = 2(3)

n = $6

You spent $6 on notebooks.

Your overall equation will be:

T = 5b + n

T is the total amount of money spent, x is the number of binders purchased, and n is the total amount of money spent on notebooks only.

Plug in the values you know.

16 = 5x + 6

To solve for x, subtract both sides by 6.

16 - 6 = 5x + 6 - 6

10 = 5x

Isolate x further by dividing both sides by 5.

x = 2

You bought 2 binders.

Hope this helps!

someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points

Answers

Answer:

divide the numerator by the denominator and it should give you a decimal

Answer:if u don't get it tell me.

Step-by-step explanation:

Please help anyone will give Points

Answers

Answer:

do the base are 3 then times that twice

Step-by-step explanation:

2/8 = x/64

2/8 • 64 = x/64 • 64

128/8 = x

x = 128/8

x = 16

The volume of Figure A is 16 m³.


Hope it helps!

The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?

Answers

Answer:

3 1/2 slices each

Step-by-step explanation:

98/28=3.5

Answer:

Every student will get 3 to 4 slices of pizza

Step-by-step explanation:

This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.

Hope this helped

Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?

Answers

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

simplify e with an exponent of in6

Answers

Answer:

Step-by-step explanation:

I think the exponent is ln6, not in6.

e^(ln 6)= 6

The figure shows two lines cut by transversal.wich statement correctly explains why the two lines are parallel

Answers

Answer:

D

Step-by-step explanation:

This is because the angle are corresponding which mean they are on the same side and are the same number

Hope this Helped

My yard is 2730 square feet. It’s base is 65 feet. What is the height.

Answers

Answer: Your height is 42

Step-by-step explanation: 2730 divided by 65 would by 42

Answer:

area of rectangle is product of base×height.or length×breadth

area of rectangle= base ×height

2730 feet²=65×height

2730/65=height

42feet=height.

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