Mingfa says, "My sister and I have $130 altogether. If my mother gives me another
$10, I'll have 3 times as much money as my sister."
How much money does Mingfa actually have?​

Answers

Answer 1

Given:

Total amount of Mingfa and her sister = $130

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

To find:

How much money does Mingfa actually have?​

Solution:

Let, Mingfa have $x and her sister has $y initially. Then,

[tex]x+y=130[/tex]                ...(i)

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

[tex]x+10=3y[/tex]              ...(ii)

Substitute the value of x from (ii) in (i).

[tex](3y-10)+y=130[/tex]

[tex]4y=130+10[/tex]

[tex]4y=140[/tex]

Divide both sides by 4.

[tex]y=35[/tex]

Putting [tex]y=35[/tex] in (i), we get

[tex]x+35=130[/tex]

[tex]x=130-35[/tex]

[tex]x=95[/tex]

Therefore, Mingfa have $95.


Related Questions

betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the nozzle to pass through(Use Pi = 3.14​

Answers

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

[tex]r = 3[/tex] -- radius

[tex]h = 7[/tex] --- height

[tex]Rate = 14in^3/min[/tex]

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

This gives:

[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]

[tex]V = \frac{1}{3} * 197.82[/tex]

[tex]V = 65.94in^3[/tex]

To calculate the time, we make use of the following rate formula.

[tex]Rate = \frac{Volume}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Volume}{Rate }[/tex]

This gives:

[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]

[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]

Cancel out the units

[tex]Time= \frac{65.94}{14} min[/tex]

[tex]Time= 4.71 min\\[/tex]

Answer:

The time it will take for all the liquid to pass through is 4.71 minutes.

-Don't worry it's been already verified by myself .

Cairde will mark brainliest!!!!

Answers

Answer:

mMN=190°

Step-by-step explanation:

Let the centre of the circle be C

An angle at the circumference of a circle is half the angle at the centre standing on the same arc.

Therefore:

2(<MLN)=<MCN

<MCN=2(95)=190°

mMN=<MCN=190°

Find the fifth term of the binomial expansion.
(x2+y5) ^8

Answers

Answer:

The fifth term of the binomial expansion

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Step-by-step explanation:

Step:1

Given that the binomial expansion

     ( x² + y⁵ )⁸

we know that

[tex]T_{r+1} = n_{C_{r} } a^{r} x^{n-r}[/tex] ...(i)

Step:2

put r = 4  

[tex]T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}[/tex]

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Final answer:-

The fifth term of the binomial expansion

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

A weapons manufacturer uses a liquid propellant to produce gun car- tridges. During the manufacturing process, the propellant can get mixed with another liquid to produce a contaminated cartridge. A University of South Florida statistician, hired by the company to inves- tigate the level of contamination in the stored cartridges, found that 23% of cartridges in a particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you nd a contaminated one. Let x be the number of cartridges sampled until a contaminated one is found. It is known that the probability distribution for x is given by the formula:
P(x) = (.23)(.77)x-1, x = 1,2,3,....
A. Find p1.
B. Find p5.
C, Find P{xk's are greater than or equal to 2}.

Answers

Answer:

[tex]P(1) = 0.23[/tex]

[tex]P(5) = 0.0809[/tex]

[tex]P(x\ge 2) = 0.471[/tex]

Step-by-step explanation:

Given

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

Solving (a): P(1)

This gives:

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(1) = 0.23 * 0.77^{1-1}[/tex]

[tex]P(1) = 0.23 * 0.77^0[/tex]

[tex]P(1) = 0.23 * 1[/tex]

[tex]P(1) = 0.23[/tex]

Solving (b): P(5)

This gives:

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(5) = 0.23 * 0.77^{5-1}[/tex]

[tex]P(5) = 0.23 * 0.77^{4}[/tex]

[tex]P(5) = 0.23 * 0.35153041[/tex]

[tex]P(5) = 0.0809[/tex]

Solving (c): [tex]P(x \ge 2)[/tex]

To do this, we make use of complement rule

[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]

[tex]P(x < 2)[/tex] is calculated as:

[tex]P(x < 2) = P(0) +P(1)[/tex]

Calculate P(0)

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(0) = 0.23 * 0.77^{0-1}[/tex]

[tex]P(0) = 0.23 * 0.77^{-1}[/tex]

[tex]P(0) = 0.299[/tex]

In (a):

[tex]P(1) = 0.23[/tex]

So:

[tex]P(x < 2) = P(0) +P(1)[/tex]

[tex]P(x < 2) = 0.299 + 0.23[/tex]

[tex]P(x < 2) = 0.529[/tex]

So:

[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]

[tex]P(x\ge 2) = 1 - 0.529[/tex]

[tex]P(x\ge 2) = 0.471[/tex]

the ratio of pigs to cows at the farm is 16:2. If the total number of animals is 72. How many pigs are there?

Answers

Answer:

There are 64 pigs

Step-by-step explanation:

pigs: cows: total

16            2   16+2

16          2         18

There are 72 animals

72 /18 = 4

Multiply each number by 4

pigs: cows: total

16*4     2*4     18*4

64         8        72

There are 64 pigs

please help with this problem

Answers

Answer:

C. equilateral

Step-by-step explanation:

Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.

Thus, since all three sides are the same length, the triangle created is equilateral.

Have a nice day! ^-^

What is the equation of this line?
Y=3x
Y=3
Y=-3
X=3

Answers

The answer is Y=3 cause it’s on the positive y -axis and not the negative y - axis

Which are dependent events?
A. rolling two number cubes
B. tossing the same coin two times
C. spinning a spinner and rolling a number cube
D. taking two marbles from a box without replacing the first marble

Answers

Answer:

D. taking two marbles from a box without replacing the first marble are  dependent events

[tex]----------[/tex]

hope it helps

have a great day!!

it’s D, taking two marbles from a box

Factor the expression shown below completely.
18.12
603 + 50
OA. 2(31 – 5)2
OB. 2(6.1 – 5)2
OC. 3(2x - 5)
OD. 6(3.1 – 5)
RIGHT ANSWERS ONLY

Answers

A. 2(3x-5)²

Step-by-step explanation:

18x² - 60x + 50

= 2 (9x² - 30x + 25 )  ⇒⇒⇒ take 2 as common from all terms

note: 9x² = 3x * 3x and 25 = 5*5 and

 3x * 5 *2 = 30x

so, this is a complete square

= 2(3x-5)(3x-5)

= 2(3x-5)²

Which statement about the relationship between different types of triangles is true? (2 points)
An equilateral triangle is never an obtuse triangle.
An equilateral triangle is never an isosceles triangle.
A right triangle is always an isosceles triangle.
An obtuse triangle is always an acute triangle.

Answers

Answer:

A right triangle is always an isosceles triangle.An equilateral triangle is never an obtuse triangle.

Answer:

A right triangle is always an isosceles triangle.

Step-by-step explanation:

You toss a coin 15 times. P( heads) 2/5=

Answers

The answer is

2/5 = 0.4

Because

2/5 2 divide 5 = 0.4

Function or a Relation?

X Y
-13 -3
-3 7
12 -13
17 8
-3 14
0 -19

Answers

Answer:

Hi! The answer to your question is Relation

Step-by-step explanation:

To be a function the x values can't repeat, since they do, its a relation

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.

Answers

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

Question 1 and 2 have the same question help please!!

Answers

Answer:

1st Circle

Radius = 9

Diameter = 18

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52

2nd Circle

Radius = 14

Diameter = 28

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 14 = 87.92

:D

PLS HELPPPPP Find the perimeter of AXYZ. *
1 point
M, N, and O are the midpoints of the sides of XYZ.

Answers

Answer:

XY=2 ON mid point theorem

so XY=8

yz=2 OM

so yz= 6

since o is the mid point

xz=2 OZ

so xz=10

perimeter =8+6+10

=24 cm is the answer

hope it helps..

Yo estoy en el hospital en el trabajo que me voy al baño a las tres para ir al baño a la casa y me hhhhhb. Yo estoy en la oficina y me voy al baño y

LOCKER NUMBERS What is the probability that a 6-digit locker combination with the digits 3, 5, 7, 3, 5, and 2 is the number 53-27-35?

A.1/90
B.1/180
C.1/720
D.1/360

Answers

Answer B
I think because it’s 6 Digit accommodation

The probability that a 6-digit locker combination, will be 1/180. Then the correct option is B.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The factor of n is given as the production of the number n, (n – 1), (n – 2)… and 1.

Then the factorial of n is given as

n! = n x (n – 1) x (n – 2) x … 3 x 2 x 1

A 6-digit locker that contains the digit will be 3, 5, 7, 3, 5, and 2.

Then the total number of combination without repetition will be given as,

Total events = 6! / (2! x 2!)

Total events = 6 x 5 x 4 x 3 x 2 x 1 / (2 x 1 x 2 x 1)

Total events = 6 x 5 x 3 x 2 x 1

Total events = 180

Then the favorable event will be

Favorable events = 1 {53-27-35]

Then the probability will be

P = (Favorable event) / (Total events)

P = 1/180

Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Heather can type 210 words and 6 minutes what is her unit rate in words per minute​

Answers

Answer:

35 words per minute

Step-by-step explanation:

210/6=35

Answer: 35 words per minute

Please answer if you can

Answers

Answer:

y = 15°

∠A = 78°

∠B = 68°

∠BAC = 34°

Step-by-step explanation:

∠BAC = 180° - 146° = 34°

the sum of the interior angles of any triangle is 180°

5y + 3 + 4y + 8 + 34° = 180°

combine like terms:

9y + 45° = 180°

subtract 45° from each side of the equation:

9y = 135°

divide both sides by 9:

y = 15°

∠A = 5(15) + 3 = 78°

∠B = 4(15) + 8 = 68°

A car which originally cost $3000000 when new decreases in value by 20% during the first year. what is the value of the car at the end of the first year.​ No Links please​

Answers

Answer:

2,400,000

Step-by-step explanation:


[tex]if x^2 = 17x + y \: and \: y {}^{2} = 17y + x \: then \: find \sqrt{x {?}^ + {y { }^{2} + 1 } } [/tex]

Answers

Answer:

Bro wat

Step-by-step explanation:

Select the graph for the solution of the open sentence. Click until the correct graph appears.

|x| < 1

Answers

The right answer is the second graph aka the one on the right

Answer:

|x| < 1x < 1 and x > - 1

The solution is:

- 1 < x < 1

The correct graph is the third one

(thicker segment between points -1 and 1 with open dots)

Help with this equation please

Answers

Answer:

[tex]y=-\frac{2}{3}x+6[/tex]

Step-by-step explanation:

Let the equation of the line representing the given table is,

y = mx + b

Here, m = slope of the line

b = y-intercept

From the given table,

Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,

m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]

   = [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]

   = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+b[/tex]

Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],

By satisfying the equation with the given point,

[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]

[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]

[tex]b=\frac{18}{3}[/tex]

[tex]b=6[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+6[/tex]

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample? The representative sample contained all 160 students. The representative sample contained more boys than girls. The representative sample contained more girls than boys. The representative sample contained an equal number of boys and girls.​

Answers

Answer:

The representative sample contained more girls than boys.

The true representative sample:

The representative sample contained more girls than boys.

The correct option is C.

What is sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip.

A random sample of students is chosen.

Surveying the random sample produced a representative sample of the population.

The total number of students = 160

The number of girls = 95

The number of boys = 65

Clearly, the number of girls is more than the number of boys.

Therefore, the sample should contain more girls than boys.

To learn more about the sample space;

https://brainly.com/question/28043513

#SPJ3

Pls help meeeeeeeeee

Answers

Answer:

3692.64 inches cubed.

Step-by-step explanation:

round this answer to the nearest tenth and that is your answer!

Determine the equation of this circle. *

Answers

Answer:

b is correct center of circle is x=4 y=-2

radius = 3

What is the y-intercept?

f(x)= 5^x-8

PLZZZZZ HELP​

Answers

Answer:

(0,-7) is the y-intercept

Step-by-step explanation:

The sum of a number, n, and 6.05 is 12.4. What is n?

Answers

Answer:

2.04

Step-by-step explanation:

Equation: 6.05n=12.4=

Answer:

n = 6.35

Step-by-step explanation:

Okay, so this is a basic algebraic expression, so you'd set it up like:

n + 6.05 =  12.4

And now you have to do the inverse operations thing:

12.4 - 6.05 = 6.35‬

So, n = 6.35

hope this helps:)

Pre-cal! Need help! Which of the following options best represent(s) the quotient of z1 and z2? Select all that apply.

Answers

Answer:

Remind me if i'm wrong, 2nd, 3rd, 5th are the right answers .

Rational Equations

- It takes one worker 12 hours to complete a specific job. If two workers do the same job, it takes them 6 hours to finish the job. How long would it take 6 workers to do the same job?

It will take ____ hours.

Answers

Answer:

2 hours

Step-by-step explanation:

2,4,6,8,10,&12

1, 2,3, 4, 5, &6

Hope this helps :)

help pls asappp!!!no rocky!

Answers

Step-by-step explanation:

slope = -9

y - -4 = 9(x - 2)

y+ 4 = 9x -18

y = 9x - 22

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