Jacinth is 4 years older than her sister Naomi. The sum of their ages is 30. How old are the sisters?

Answers

Answer 1

Answer:

Jacinth = 17

Naomi = 13

Step-by-step explanation:

they add up to 30 and follow the criteria

Answer 2

Jacinth is 17 years old, and Naomi is 13 years old as per the linear equation method.

Let's assume Naomi's age is x. According to the given information, Jacinth is 4 years older than Naomi, so Jacinth's age would be x + 4.

The sum of their ages is given as 30, so we can write the equation: x + (x + 4) = 30.

Combining like terms, we have 2x + 4 = 30.

Subtracting 4 from both sides, we get 2x = 26.

Dividing both sides by 2, we find x = 13.

Therefore, Naomi's age (x) is 13 years old.

To find Jacinth's age, we substitute the value of x into the equation for Jacinth's age: Jacinth's age = x + 4 = 13 + 4 = 17 years old.

So, Jacinth is 17 years old, and Naomi is 13 years old.

To learn more about the linear equation;

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Related Questions

0.52 divided by 0.0013

Answers

Answer:

400

Step-by-step explanation:

Find four numbers if their ratio is 9:11 and their difference is 6.

Answers

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

help which one is it

Answers

Answer:

I think it's 3 units to the left and 6 units down

Step-by-step explanation:

Hope I helped!

help pls ?? anyone ?? :(

Answers

7.  yes

8. yes

9. no

10. no

b because it just is i took this

A bag contains 12 blue blue marbles and 8 red marbles what is the ratio of the blue marbles to red marbles

Answers

Answer:

12:8 or 12 to 8 or u could do it in fraction form

Step-by-step explanation:

Answer:

12:8 or 12 to 8

Explanation:

The ratio of blue marbles to red marbles is 12 to 8

answer number 1 or 2 or both please<3

Answers

Answer:

1. 1.96 g/L

2. 1 g/cm³

Step-by-step explanation:

Density is found by dividing mass by volume: d = m/v.

1.

We know that the mass is 0.196 grams, while the volume is 100 mL.

Converting the volume to liters, we get:

100 mL = 0.1 L

Then, applying our density formula:

d = m/v

d = 0.196 g / 0.1 L = 1.96 g/L

2.

Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.

The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.

Applying our density formula gives:

d = m/v

d = 27 g / 27 cm³ = 1 g/cm³

~ an aesthetics lover

What is the choice?

A:1,6

B:2,3

C:3,3

D:1,5

Answers

[tex] {x}^{2} - 5x + 6 = 0[/tex]

[tex](x - 3)(x - 2) = 0[/tex]

[tex]x - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 2 = 0[/tex]

[tex] \: \: \: \: \: \: \: x = 0 + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 0 + 2[/tex]

[tex] \: \: \: \: \: \: \: x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 2[/tex]

[tex] \green {\boxed{Answer \: B}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Given the following roots x = 2, -3, 4. Write a polynomial function p(x)​

Answers

Answer:

[tex]x^3-3x^2-10x+24[/tex]

Step-by-step explanation:

The first thing that you have to do is take the roots that you're given and write binomial products.

[tex]x= 2, -3, 4[/tex]

[tex](x-2)(x+3)(x-4)[/tex]

Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.

The next thing you have to do is multiply the roots together. A good way to do this is the "box method."

(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )

Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])

The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].

( need help asap for a test) Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instruction and ate 6 ounces of candy during planning.

(16 ounces = 1 pound)

How many ounces of candy does Ms. Smith still have in her bag?

A.
38 ounces

B.
42 ounces

C.
48 ounces

D.
54 ounces

Answers

Answer:

c

Step-by-step explanation:

5-2=3 3•16=48 48-6=42

A math professor writes down two consecutive whole numbers from the range from a through 10. She tells one of the numbers to Maurice and the other to Hani. Maurice says to Hani "I don't know your number." Hani replies "And I don't know yours." Then Maurice says "Now I know your number." What are the two numbers?

Answers

Answer:

Throughout the clarification section following, the definition of the problem is mentioned.

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

                      Maurice's number                             Hani's number

                                   2                                                        3

                                   3                                                        4

                                   6                                                        7

                                   9                                                        10

Even though professor whites away, Maurice as well as subsequently Hani are allocated two consecutive full numbers as well as first numbers. Furthermore, in any circumstance, the number of Hani should be one more than any of Maurice, as well as the number of Maurice should be one lower than the average Hani.

Suppose that the U.S. Government decides to charge cola producers a tax. Before the tax, 30 billion cases of cola were sold every year at a price of $4 per case. After the tax, 23 billion cases of cola are sold every year; consumers pay $5 per case, and producers receive $2 per case (after paying the tax).

Answers

Answer:

 $3

$1

$2

False

Step-by-step explanation:

Here is the remaining part of the question :

The amount of the tax on a case of cola is per case. Of this amount, the burden that falls on consumers is per case, and the burden that falls on producers is per case. True or False: The effect of the tax on the quantity sold would have been larger if the tax had been levied on consumers. True False

A tax is a compulsory sum levied by the government or an agency of the government on goods or services.

Tax on a case of cola = Amount consumers pay - amount producers receive

= $5 - $2 = $3

Burden of tax on consumers = $5 - $4 = $1

Burden that falls on producers = $3 - $1 = $2

False. the incidence of tax is not dependent on who is taxed

Factor 8x^{4}-46x^{2}+45
PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

(4x^2-5) x (2x^2-9)

Step-by-step explanation:

01.) Write -46x^2 as a difference

8x^4-10x^2-36x^2+45

02.) Factor out 2x^2 from the expression

8x^4-10x^2 -36x^2+45

2x^2 * (4x^2-5) - 36x^2+45

03.) Factor out -9 from the expression

2x^2 * (4x^2-5) - 9(4x^2-5)

2x^2 *(4x^2-5)-9(4x^2-5)

04. Factor out 4x^2-5 from the expression

(4x^2-5) *(2x^2-9)

solve for t..... -3(t-5)= -30 please help its for today!!!

Answers

The answer is T=15 :)

√2+√2 =
A. 3√2 or B. 2√2
Which one? ​

Answers

Answer:

B

Step-by-step explanation:

Can i plz have brainliest :)

below are two parallel lines with a third line intersecting them

Answers

X = 80
Hope it helps !

Please answer ASAP
Order Numbers From Least to Greatest

Answers

Answer:

Least 6.7x10-3     0.67    6.7%  6/9 Greatest

Step-by-step explanation:

In the picture lines AB and CD are parallel. Find the measures of ∠ECF.

Answers

Answer:

If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)

Step-by-step explanation:

what is the answer for −3x−6+(−1)

Answers

Hi it would be -9x-1 hope that helps

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

-6+-1 = -6-1 = -7

Hence, it's -3x-7

Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29

Answers

Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

3x + -18x + 26x + -11x

Answers

Answer:

0

Step-by-step explanation:

First, you have 3x and subtract 18x from it. This gives you -15x.

Then you have positive 26x, so you add 26x onto -15x.

After doing so, you have a positive 11x.

Now you need to subtract 11x from 11x.

Your final answer is 0! (No need to put x since it is just zero.)

Have a nice day and mark brainliest if you can, I would appreciate it tons!

A computer store pays sales associates $10 per hour

and managers $15 per hour. If the total hours
worked by the sales associates is 100 and the total

hours worked by managers is 50, how much will the

store pay in wages?

Answers

Answer:

They pay a total of  $1750.

Step-by-step explanation:

You multiply the hours by the pay per hour SO,

Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"

Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"

Add the total sums ($750 + $1000) and get a total of $1750

NEED TO ANSWER IN NEXT FIVE MINUTES!!!!!! HELP PLEASE!!! WILL MARK BRAINLIEST AND GIVE 20 PTS!!

Answers

Answer:

Given a=35 and ∠β=42°,

b = 31.51414

c = 47.09715

∠α = 48° = 0.83776 rad = 4/15π

h = 23.41957

area = 551.49748

perimeter = 113.61129

inradius = 9.7085

circumradius = 23.54857

Step-by-step explanation:

all real numbers less than or equal to 9 and greater than or equal to 7 please hurry​

Answers

Answer:

[tex]7 \leq x \leq 9[/tex]

Step-by-step explanation:

Let [tex]x[/tex] represent the real numbers.

For the first part, all real numbers less than or equal to 9 in algebra is [tex]x \leq 9[/tex].

For the second part, all real numbers greater than or equal to 7 in algebra is [tex]x \geq 7[/tex].

To combine both inequalities, it would become [tex]7 \leq x \leq 9[/tex].

Hope this helped! If not, please let me know! <3

The real numbers are 7, 8, and 9.

We are given two statements:

All real numbers are less than or equal to 9.All real numbers are greater than or equal to 7.

We have to use these two statements, form an inequality for the real number and find the real numbers.

What is inequality?

Inequality is a relation that makes a non-equal comparison between two mathematical expressions.

There are five types of inequality:

[tex]Less~~than~ = ~ < \\Greater~~than~=~ > \\Less~~than~~or~~equal~~to~=~\le\\Greater~~than~~or~~equal~~to~=~\ge[/tex]

Let the real number be x.

Now using the two given statements we have,

[tex]x\le9\\x\ge7[/tex]

If we combine these two equations we get,

[tex]7\le x \le 9[/tex]

Thus we can say that the real numbers are 7, 8, and 9.

Learn more about inequalities of real numbers here:

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The first side of a triangle is 2 inches shorter than three times the second side. The third side is 1 inch longer than twice the second side. If the perimeter of the triangle is 101 inches, how long is each side?

(Answer to get brainliest)

Answers

Answer:

17in, 49in, 35in

Step-by-step explanation:

I did this in my RSM homwork and it is correct.

First, I added the two inches shorter to the 101, then subtracted 1 longer and got 102.

then divide 102 by how many second lengths, 6. so 102 ÷ 6 = 17

17 is the second length.

3x17-2=49 (another length)

2x17+1=35 (last length)

and there is your answer!

First side : 49

Second side : 17

Third side : 35

What is the perimeter of a triangle?

If triangle has sides a, b, c , then the perimeter of that triangle will be P= a +b +c.

Now, according to the question

Let  second side be (b) = x unit

then, First side will be  (a)= 3x-2 unit

and Third side will be  (c)= 2x + 1 unit

since , perimeter is 101

P = a + b + c

x + 3x -2 + 2x + 1 = 101

6x - 1 = 101

x= 17

hence , b = 17 unit

a= 3*17 - 2 =49 unit

c = 2*17 +1 = 35 unit

Lets learn more about perimeter of a triangle

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Solve the equation 6(2x + 4)2 = (2x + 4) + 2.

Answers

Answer:

-21/11

Step-by-step explanation:

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First I would distribute what I can...

[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]

Now we combine like terms...

[tex]24x+48=2x+6[/tex]

Subtract 2x from both sides...

[tex]22x+48=6[/tex]

Subtract 48 from both sides...

[tex]22x=-42[/tex]

Divide both sides by 22...

[tex]x=-\frac{21}{11}[/tex]

So the answer is [tex]-\frac{21}{11}[/tex]

20 pounds of pet food for
$14.99
Find the unit rate?




Answers

Answer:

$0.75 per pound

Step-by-step explanation:

To find the unit rate, divide the price by the amount you have.

14.99/20 = 0.7495

Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?

Answers

Answer:

mark brainlest45

Step-by-step explanation:

in one hour she can make 9 ( 27 divided by 3)

so in 5 hours 45 bc 5x9 is 45

(-2 1/3 + 5 1/5) + 1 1/3 =

Answers

4Answer:

exact form:

[tex]\frac{21}{5\\}[/tex]

decimal form:

4.2

mixed number form:

4[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

21/5 hehehehehehehheehhehe

Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?

Answers

Answer:

$31.70

Step-by-step explanation:

aPEx

PLS HELP THIS IS HOMEWORK AND ITS DUE TOMORROW

3. Which equation can be used to find the measurement of ∠MNO, if the value of ∠LMN is 77 degrees? *

Answers

Answer:

154+2x=360

Step-by-step explanation:

Since the opposite angles are the same you add them together getting 154. You now have two unknown angles that are congruent which is expressed as 2x, and since a four sided shape always has an interior angle of 360 you set it equal. This gives you 154+2x=360.

Answer: It is the last one

154 + 2x = 360

Step-by-step explanation:

x= 103

154 + 2(103)= 360

154 + 206 =360

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