Mathematics High School

Twice Sam's age added to half her mother's age is 48. Three times her age less one third of her
mother's age is 33. How old are Sam and her mother?

Answers

Answer 1

Answer:

Sam is 15 and her mother is 36

Step-by-step explanation:

Let Sam's age be x and her mother's age by y

We can figure out Sam and her mother's age by representing these scenarios using equations with variables and solving the system using elimination

2x+y/2=48

3x-1/3y=33

You start by making all the numbers in both the equations whole

2(2x+y/2=48)

3(3x-1/3y=33)

Becomes:

4x+y=96

9x-y=99

Add together to eliminate y

13x/13=195/13

x=15

Now that we have x we can plug the value into the x in the equations to give us the y-value

2x15+y/2=48

30+y/2=48

30+y/2-30=48-30

y/2=18

2 X y/2=18 X 2

y=36

Therefore x=15 and y=36

Related Questions

help asap i don't understand

Answers

x+4/12=-5/3

3(x+4)=12-5

3x=7

x=7/3

x=2.3

Raven needs new winter boots. Both ShoeTown and LaceUp shoe stores carry the boots she wants to buy. The boots are regularly priced $85.95, but both stores are running sales. ShoeTown has the boots marked down 15%. LaceUp has the boots marked down 10%, plus Raven has a $5 coupon she can use on the boots after the mark down is applied.Raven’s friend, Becca, tells Raven there is an online shoe store called Run, Don’t Walk that has the boots she wants for only $71.99. If Raven buys the boots in a local store, she will have to pay 7.16% sales tax on her purchase. If Raven buys the boots online, she won’t have to pay sales tax, but she will have to pay $6.50 for shipping.

Answers

Raven should buy the boots at Shoe Town because this offers the best final price.

To determine which one is the best store for Raven let's calculate the price in each case.

Shoe Town

Total price:

Initial price - Mark down  + Sales tax

85.95 - 15% + 7.16 %85.95 - 12.89 + 7.16 %73.06 + 7. 16%73.06 + 5.23 = 78.29

Lace Up

Total price:

Initial price - Mark down - Coupon + Sales tax

85.95 - 10% - 5 + 7.15%89.95 - 8.99 - 5 + 7.15%80.96 - 5 + 7.15%75.96 + 7.15%75.96 + 5.43 = 81.39

Run, Don't Walk

Total price:

Initial price + shipping

71.99 + 6.50 = 78.45

Learn more about price in: https://brainly.com/question/2289757

Find the value of x?

Answers

Answer:

C

Step-by-step explanation:

The 2 base angles in the triangle are congruent thus the triangle is isosceles.

Then the 2 sides are congruent in an isosceles triangle, thus

x = 12 → C

Which of the following is the value of e^2 correct to 3 decimal places

A:73.890
B:7.3893
C:7.389
D:738.9

Answers

Answer:

C

Step-by-step explanation:

WILL GIVE BRAINLEST!!!!!!!!!!!!!!! The three graphs represent the types of solutions that are possible for a system of equations. Which graph represents a system of equations with no solution?

Answers

Answer:

its the 2nd one

Step-by-step explanation:

just did it on edge

10x+8(1/3 x + 2/3) =-20

Answers

Answer:

hiii

Step-by-step explanation:

1. Multiply both sides by 3

38/3x x 3 +16/3. x =-20x3

2. Simplfy

38x+16=-60

3. Subtract 16 from both sides

38x+16-16=-60-16

4. Simplfy

38x=-76

5. Divide both sides by 38

38x/38=-76/38

6. Simplfy

x=-2

-12+8yi=3x-i solve for x and y

Answers

Answer:

x = -4 + 8yi/3 + i/3, y = -3xi/8 - 1/8 - 3i/2

Mr.Johnson is building a dollhouse for his daughter that is a replica of his own house. His house is 48 feet long and 36 feet wide. If he makes the dollhouse 4 feet long, how wide will it be​

Answers

Answer:

x=3

Step-by-step explanation:

Proportion: 48/36=4/x. (4*36)/48=x x=3.

Hope this helps plz hit the crown :D

Brainliest 5 stars thanks!

Answers

Answer:

B

Step-by-step explanation:got 100%

Answer:

B

Step-by-step explanation:

Find the midpoint of a line with endpoints of (2, 6) and (10, 18)

Answers

Answer:

6, 12

Step-by-step explanation:

10-2=8    8/2= 4   2+4= 6

18- 6= 12    12/2= 6   6+6=12

The answer to your question would be 16

12 less than the square of a number

Answers

Answer:

uh what?

Step-by-step explanation:

It is recommended that a certain medicine be stored in temperatures above 34°F and below 71°F. Enter a
compound inequality to show the acceptable storage temperatures for this medicine. Use t as your
variable.

Answers

Answer:

The inequality is;

34°F < t < 71°F

Step-by-step explanation:

Here, using t as the variable, we want to write an inequality

We want to write an inequality above 34 but below 71

The inequality will be;

34°F < t < 71°F

what is 5 times x simplifed

Answers

Answer:5x

Step-by-step explanation:

Answer: 5x

Step-by-step explanation:

We would need to know what X is first. For example, is X is 7; 5 times x (7)

Would equal 35

5x7=35

but we don't know what X is so we leave it as 5x

Marcus can rap about 42 words per minute. If he raps at this rate for 30 minutes without stopping, about how many words will he rap?

A) 1260
B) 2100
C) 2520
D) 4200

Answers

A, 1260 words per minute

Ala has 24 dollars, Barb has 66 dollars, and Sophia has as many dollars more than Ala as she has less
than Barb.
How many dollars does Sophia have?
A) $35
B) $42
C) $45
D) $48

Answers

Answer:42

Step-by-step explanation:

PLEASE HELPP!!!
5, 18, 6, 18, 13 find the interquartile range (SHOW WORK)

Answers

Answer:

12

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

Firstly find the median of the data.

The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

5,  6,  13,  18,  18 ← data in ascending order

           ↑ middle value

median = 13

The upper quartile Q₃ is the middle of the data to the right of the median

13,  18,  18

       ↑ middle value

Q₃ = 18

The lower quartile Q₁ is the middle value of the data to the left of the median

5,  6,  13

    ↑ middle value

Q₁ = 6

Interquartile range = Q₃ = Q₁ = 18 - 6 = 12

           

Given the table. Answer the following questions given the original function f(x).
2.
3
5
6
X
-3
-2.
-
0
1
2.
3
4
5
f(x)
8
7
6
5
4
3
2
1
0
8
What is the value of f1(7)?

Answers

Answer:

f(x)

Step-by-step explanation:

Help pls!
U don’t need to explain

Answers

12x-18–4x-2

bonus : x=2

9. Marika Perez's gross biweekly pay is $2,768.00 How much does she earn annually.
$66,432.00
$71,968.00
O $33,216.00
$143,936.00

Answers

The answer is 71,968

Answer:

$66,432.00

Step-by-step explanation:

I believe its this sorry if I'm wrong

Solve 4x + 1 = 3 – 2x

Answers

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Add 2x on both sides:                    6x + 1 = 3Subtract 1 on both sides:                6x = 2Divide 6 on both sides:                   x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    4(1/3) + 1 = 3 - 2(1/3)Multiply:                        4/3 + 1 = 3 - 2/3Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

Answer:

x=1/3

Step-by-step explanation:

4x+1=3-2x

Add 2x to both sides

6x+1=3

Subtract 1 on both sides

6x=2

x=2/6

A local Little league has a total of 60 players, 80% of who are right-handed. Write and solve a proportion that could be used to determine how many of the players are right-handed.

Answers

Answer:

48 people are right handed. 12 are left handed

Step-by-step explanation:

80% of 60 is 48.

If Tai Reed's average monthly expenditure for 4 months is $2,303.50, what is the total of his expenditures for that period? *
685.75
575.85
9,214.00
12,545.50
TIMEDD TEST!!

Answers

$2,303.50 x 4 = $9,214

Answer : $9,214.00

Help me plz answer the both of them

Answers

Answer:

23.Use RHS

24.Use axiom and make 2angle equal then triangle will be equal and it becomes congruent

Answer:

23) +) JL ≅ MO (given)

+) KL ≅ NO (given)

+) ∠K = ∠N = 90° (given)

=> ΔJKL ≅ ΔMNO (HL)

24) +) AC ≅ EC (given)

+) BC ≅ DC (given)

+) ∠ECD = ∠ ACB (2 opposing angles)

=> ΔABC ≅ ΔEDC (SAS)

Step-by-step explanation:

two times x divide five

Answers

Answer:

2x/5

Step-by-step explanation:

8th POING GIVEAWAY (lol my hands r tired so srry for the typo)

Answers

Answer:

ooo~ yass ʕ·ᴥ·ʔ

(lil person ty)

ヾ(＠⌒▽⌒＠)ﾉ

(virtual hug (∪ ◡ ∪)

Thank you so much, I got it UvU

PLEASE ANSWER FAST!! WIIL GIVE BRAINLIEST
Which equation correctly shows how to determine the distance between the points (9,-2) and (6,3) on a coordinate
grid?
Od-V(6-3)?+ (9-(-2))?
Od-V(6+3)²+(9+(-2))?
)9
O ơ= 6 – 9) + (3-(-2)
d-/6+9)2+(3+(-2)2

Answers

Od-V (6+3) to the 2nd +(9+(-2)) is the correct answer.... In other words the second one.

please help me solve this

Answers

x<3

semoga membantu

dan maaf kalo salah

Answer:

X>_3 the first one

Step-by-step explanation:

It is rather equal to 3 or less

Select the slope-intercept form of an equation for a line with y-intercept –5 and slope 2. A. x = 2x + 5 B. y = 2x – 5 C. y = 5x – 2 D. y = –5x + 2

Answers

Answer:

y=2x-5

Step-by-step explanation:

slope intercept form is y=mx+b

m=slope

b=y-intercept

Answer: y = 2x - 5

slope-intercept form ⇒ y = mx + b

⇒ where mx is the slope,

⇒ b is the y-intercept

⇒According to the question;

mx which is the slope = 2

b the y-intercept = -5

∴ the equation is

14 fish out of 100,000 are blue, what would this be as a percentage?

Answers

Answer:

0.014%

Step-by-step explanation:

We need to write 14 out of 100,000 as a fraction. Which makes 14/100,000. Now 14/100,000 as a percent is 0.014%

Sam’s parents agreed to pay 25 percent of the cost of a new bike if Sam paid the rest.

Percents
Total
25%
25%
25%
25%
100%
$65
$65
$65
$65


If Sam’s parents paid $65, what was the price of Sam’s new bike?
$130
$195
$260
$325

Answers

Answer:

$260

Step-by-step explanation:

From Brainly

Can I have brainliest

Answer:

The answer is 260

Step-by-step explanation:

The people  paid 25% that should be 1/4 so add 65 three more times.

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