Max's grandparents have $6000 that they want to give to him and his brother Sam. They like Sam more than Max, so they plan to give Sam 4 times the amount they will give Max. Determine the amount of money that Sam will get. Sam's Amount=$

Answers

Answer 1

Answer: Same will get $4800

Step-by-step explanation:

If Sam will get 4 times the amount of money they will give Max then we can come up with the equation  s = 4m    where s is the amount that same get and m is the amount that Max will get.

And we know that if they combine their money they will have $6000 in total so we can also come up the equation s + m = 6000  

So using the equation

s= 4m  and s+m=6000  substitute the value of x into the second equation and sole for m ..

4m + m = 6000

5m = 6000

m =  1200

So we know that Max will get $1200 and Sam will get 4 times as much as that.

s= 4(1200)

s = 4800


Related Questions

10∧-4 Simplified and what law did you use?

Answers

10 ^-4

Use the negative exponent rule to get:

1/10^4 = 1/10,000 (fraction answer) or 0.0001 (decimal answer)

0.18 as a fraction simplest form​

Answers

Answer:

9/50

Step-by-step explanation:

First, convert the decimal into a fraction. In this case, convert .18 to 18/100. Find a common factor between the numerator and denominator, which in this case, would be 2. Divide both the numerator and denominator by 2 to get 9/50. 9/50 can't be simplified further, so this is your answer.

Answer:

[tex]\frac{9}{50}[/tex]

Step-by-step explanation:

0.18 is [tex]\frac{18}{100}[/tex].

Let's simplify the fraction:

[tex]\frac{18}{100}= \frac{18/2}{100/2}=\boxed{\frac{9}{50}}[/tex]

Hope this helps.

Simplify. Rewrite the expression in the form a^na n a, start superscript, n, end superscript. a^{5}\cdot a^{-3}=a 5 ⋅a −3

Answers

Answer:

The expression simplified is a^2

Step-by-step explanation:

Here, we are interested in writing the product as a single value.

We have; a^5 • a^-3

This is same as a^5 * a^-3

We proceed here using the first law of indices;

It would result to a^5 * a^-3 = a^(5-3) = a^2

Answer:

Step-by-step explanation:

I am in a subset of rational numbers, I am not negative, I am a whole number, I am not a natural number, what number am I?

Answers

Answer:

0

Step-by-step explanation:

0 is considered a whole number, but it is not a natural number.  The natural numbers start at +1 and go forward.  ) is not positive or negative, but being that it is a whole number, it is also a rational number.

if g(x) = 3 - 2x find, g(-1)​

Answers

Steps to solve:

g(x) = 3 - 2x when g(-1)

~Substitute

g(-1) = 3 - 2(-1)

~Simplify

g(-1) = 3 - (-2)

~Simplify

g(-1) = 3 + 2

~Add

g(-1) = 5

Best of Luck!

what is the value of 10x^3 y^2 when x=-2 and y=-3

Answers

Answer:

-720

Step-by-step explanation:

We are given the expression:

[tex]10x^3y^2[/tex]

and asked to evaluate when x= -2 and y= -3.

Therefore, we must substitute -2 for x and -3 for y.

[tex]10(-2)^3*(-3)^2[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Evaluate the first exponent.

⇒ (-2)³ = -2 * -2 * -2= 4*-2= -8

[tex]10(-8)*(-3)^2[/tex]

Evaluate the second exponent.

⇒ (-3)²= -3 * -3= 9

[tex]10(-8)*9[/tex]

Multiply 10 and -8.

[tex]-80*9[/tex]

Multiply -80 and 9.

[tex]-720[/tex]

The value of 10x³y² at x= -2 and y= -3 is -720

Hope this helps you :)

Darenda worked for three weeks. The shaded part of the model represent the fraction of each week for she worms The shaded part of the model represent the fraction of each week for she worked from her home office. Which expression can be used to determine the number of weeks Darenda work from home office over these three weeks

Answers

for that it is 3 x 3/7

Answer:

3 x 3/7 is the answer but on your paper u can just say D hope this helps

Carrie sees a dress she wants that usually sells for $109. The dress is on sale at 15% off and sales tax is 6.5%. How much will Carrie need to purchase the dress?

Answers

Answer:

$98.67

Step-by-step explanation:

109(.15)= $16.35 You multiply by .15 to find out what 15% of the total (109) is going to be discounted.

109-16.35= 92.65 You subtract the discount from the total to come up with the new total.

92.65(1.065)= 98.67225 =98.67 You take the discounted total, 92.65, and multiply it by 1.065 which represents how you will will be paying for sales tax.

slove for x 2x+13=-54

Answers

Answer:

x = -33.5

Step-by-step explanation:

2x+13=-54

Subtract 13 from each side

2x+13-13=-54-13

2x = -67

Divide by 2

2x/2 = -67/2

x = -33.5

Answer:

x= -33 1/2 (-33.5)

Step-by-step explanation:

2x+13=-54

2x+13-13=-54-13

2x=-67

x=-67/2

x= -33 1/2 (-33.5)

find the x and y intercepts of 7/3x-1/3y=1

Answers

Answer:

x- intercept is at [tex]( \frac{3}{7} ,0)[/tex].

y-intercept is at [tex](0, - 3)[/tex].

Step-by-step explanation:

Please see the attached pictures for full solution.

Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S. If PS=25, and PR=19, what is the value of QR

Answers

Answer:

13

Step-by-step explanation:

The questions is incomplete. Here is the complete question.

Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S where  PQ ≈ RS. If PS=25, and PR=19, what is the value of QR

If points P,Q,R,and S are collinear, this means that the four points lies on the same straight line.

If Point Q is between P and R, then PQ+QR = PR ........... 1

Also if R is between Q and S, then QR+RS = QS ...... 2

Given

PS=25

PR=19

RS = PS-PR

RS = 25-19

RS = 6

Since PQ ≈ RS

Hence PQ = RS = 6

From equation 1;

PQ+QR = PR

substituting the resulting values

6+QR = 19

QR = 19-6

QR = 13

Hence the value of QR is 13

4x + 6 < 3x − 5 I have to solve the inequality please help

Answers

Answer:

x < -11 or x ∈ (-∞, -11)

Step-by-step explanation:

4x + 6 < 3x - 5

<=> 4x - 3x < -5 - 6

<=> x < -11

Answer:

x+1 ???

Step-by-step explanation:

4x+6<3x-5

4x-3x=x

6-5=1

x+1

can't remember if I did it right

Estimate the square root of 25. Round to the nearest hundredths place. Show your work!

Answers

Answer:

5.00

Step-by-step explanation:

Therefore, the square root of  [tex]25[/tex] so the square root of [tex]5.[/tex].

What is the square root?

A square root of a number [tex]x[/tex] is a number [tex]y[/tex] such that [tex]y = x[/tex]; in other words, a number [tex]y[/tex] whose square.

Here given number is [tex]25[/tex] so the square root of [tex]\sqrt{25}=5[/tex].

Hence, the square root of  [tex]25[/tex] so the square root of [tex]5.[/tex].

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Which of the following statements is the most precise and correct to define an angle?

Answers

Answer:

C

Step-by-step explanation:

Answer:

the exact degree of a rotation of a geometric figure in a coordinate plane

Step-by-step explanation:

make m the subject of the relation. k=√m-y/m+1​

Answers

Answer:

Make m the subject of the expression below; 3. Make v the subject of the relation; 4. Given that v 2 = u 2 + 2as, express a in terms of u, v and s. Hence, find the value of a when u = 15, v = 20 and s = 5. 5. An expression is given as.

Author: Toolbar

Step-by-step explanation:

What is the area of the triangle ​

Answers

Answer:

100

Step-by-step explanation:

Ignore the 15 yard you have to use the center number which is 5 and multiply by the length 20 this gives you 100 becaus 20*5 equals 100. You got your answer!!

Select each pair of functions that are inverses of each other. f (x) = left-brace (negative 5, negative 9), (negative 3, negative 4), (0, 1), (3, 7), (6, 13) right-brace. G (x) = left-brace (negative 9, negative 5), (negative 4, negative 3), (1, 0), (7, 3), (13, 6), right-brace. f (x) = x + 7; g (x) = x minus 7 2 2-column tables with 4 rows. Table 1 is titled f (x). Column 1 is labeled x with entries 2, 3, 4, 5. Column 2 is labeled y with entries 3, 8, 15, 24. Table 2 is titled g (x). Column 1 is labeled x with entries 5, 4, 3, 2. Column 2 is labeled y with entries 24, 15, 8, 3.

Answers

Answer:

The first two pairs of functions are inverse of each other

Step-by-step explanation:

Inverse functions?

1...................................

f(x) = {(-5, -9), (-3, -4), (0,1), (3,7), (6,13)}

g(x) = {(-9,-5), (-4, -3), (1,0), (7,3), (13,6)}

Yes, this pair is inverse as all points of the functions have inverse values

2...................................

f(x) = x + 7 is given

Inverse of f(x) is

x = f'(x) + 7 ⇒ f'(x) = x - 7

Since g(x) = x - 7 it is inverse with f(x)

Yes, this pair is inverse as described above

3...................................

Data of f(x) and g(x)

x = {2, 3, 4, 5}      f(x) = {3, 8, 15, 24}

x = {5, 4, 3, 2}      g(x) = {24, 15, 8, 3}

No, as both functions have same domain and rangeexample is f(2) = 3 and g(2) = 3 as per table

Hello :) how to do (bii)?

Answers

Answer:

bii) [tex] \frac{3118x^{2} }{1225} cm^{2} [/tex]

Please see the attached pictures.

*x represents the estimated distance on Map A

5 Select the correct answer. Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael's account balance following these withdrawals? A $519.25 B. $369 O c. $369 OD. $519.25 Reset Next​

Answers

Answer:

C.369

Step-by-step explanation:

one year is 12 months and he took out 30.75 every month so  

30.75 multiplied by 12 is 369  

its C

A cashier made $86 after an 8-hour shift. Find the unit rate of the cashier's salary and use it to determine how much the employee would make after 20 hours of work.

Answers

Answer:

  215

Step-by-step explanation:

if you divide 86 by 8 you should get 10.75 then once you find that, you will multiply 20x10.75 and you should get 215

What is the mean of the height 81,88,69,65,87

Answers

Answer:

C. 78 cm

Step-by-step explanation:

The mean of any given data set is calculated as sum of all data set divided by the number of data set given.

The data set for the height of Bella's corn given, is 81, 88, 69, 65, 87

Mean height of Bella's corn = [tex] \frac{81 + 88 + 69 + 65 + 87}{5} [/tex]

[tex] mean = \frac{390}{5} [/tex]

[tex] mean = 78 cm [/tex]

You are required to calculate the mean of the height, in other words, the average of the height

The mean of the height is 78

Given height

81, 88, 69, 65, 87

Mean = Total height / number of height

= (81 + 88 + 69 + 65 + 87) / 5

= 390 / 5

= 78

Mean of the height = 78

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evaluate 4+8/2x(6-3)

Answers

Answer:

4+8 = 12 , 6-3 = 3 , 2 x 3 = 6 , 12/6 = 2

the answer is 2

The expression 4 + 8 / 2 x (6 - 3) is equivalent to 16.

What is BOD MAS rule?

The Bodmas rule is arranged according to the letters in the acronym BOD MAS, which stand for brackets, order of powers or roots, division, and multiplication. A stands for addition and S for subtraction. According to the BOD MAS rule, mathematical equations containing numerous operators must be resolved in the BOD MAS order, starting from the left.

The given expression is,

4 + 8 / 2 x (6 - 3)

Solve by using BODMAS rule,

4 + 8 / 2 x 3

Further solve,

4 + 4 x 3

4 + 12

16

The simplified value of the given expression is 16.

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-7x + 5y = 1
10x - 8y = 2

Answers

x = -3

y = -4

Hope that helped :)

-10(2r-4) what is the answer

Answers

Answer:     -20r + 40

Step-by-step explanation:

multiply by the variable

-20r + 40

-10 x 2r = -20r

-10 x -4 = 40

Answer:

the answer to your question is: -20r + 40

can someone plz help me x-y/2z=3

Answers

Answer:

x-y/2z=3

2z(x-y)/2z = 3 × 2z

x-y = 6z

x-y/6 = 6z/6

z = x-y/6

x-y/2z = 3

2z(x-y)/2z = 3 × 2z

x - y = 6z

x-y+y = 6z + y

x = 6z + y

x-y/2z=3

2z(x-y)/2z = 3 × 2z

x-y = 6z

-x + x - y = 6z - x

-y = 6z - x

-y/-1 = 6z - x / -1

y = -6z + x

The expression is written as;

⇒ x = 6z + y

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (x - y) / 2z = 3

Now, Simplify the expression for x as;

⇒ x - y = 3 × 2z

⇒ x - y = 6z

⇒ x = 6z + y

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please please help !!! will give brainliest to first correct answer

Answers

Answer:

[See Below]

Step-by-step explanation:

❶ It is irrational because to make it repeating it must be EXACT. In this case it is adding a 0 after every 1. So it'd be irrational since it doesn't have an end.

❷ Irrational because no one knows the end of pi. It doesn't have an ending so therefore irrational.

~Hope this helps Mate. If you need anything feel free to message me.

how do you do this? i don't need it solved i just don't know how to do it. i know the note on the side says how to but i'm still confused

Answers

Answer:

Perimeter of triangle J= 18.0 units (3 s.f.)

Perimeter of triangle K= 19.0 units (3 s.f.)

Step-by-step explanation:

The length of each side of the triangle can be found using the distance formula below:

[tex]\boxed{d= \sqrt{(y1- y2)^{2} + (x1 - x2)^{2} } }[/tex]

Please see the attached pictures for full solution.

What type of number is -15/3

Answers

Answer:

-5, a negative number

Step-by-step explanation:


Matt collected 18 fewer football cards than Steven. Matt collected 63 cards, how many cards did Steven collect

Answers

Steven collected 81 cards. If Matt collected 63 cards, but had 18 fewer cards than Steven, and we want to know how many cards Steven collected, you would add 18 more cards to Matt’s total to get Stevens total.

f(x) = x² – 3x; Find f(-8)

Answers

f(-8)=8^2-3(-8)
=64+24
=88

Hope this can help.
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