SYSTEM OF EQUATIONS

The sum of three times Sophia's age and twice Nick's age is 73. Twice Sophia's age plus four times Nick's age is 86. How old is Sophia?

Answers

Answer 1
3s+2n=73
2s+4n=86


Multiply top equation by 2 and then subtract second equation

4s=60
Sophia is 15
Nick is 14


Related Questions

Simplify the following expression

6y + 8 - 2y + 5y - 9

Answers

Answer: 9y-1

:))))))))))))))))))))

Helppppp meeeee!!!!!!!!!!!

Answers

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

#teamtrees #PAW (Plant And Water)

A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.


What is the equation for this cosine function?

Answers

Answer:

The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.

Step-by-step explanation:

The given values are:

Period,

B = [tex]\frac{5 \pi}{6}[/tex]

  = [tex]\frac{12}{5}[/tex]

Amplitude,

A = 6

Vertical translation down,

D = -5

As we know,

The equation of cosine function will be:

⇒  [tex]y=A \ Cos(Bx)+D[/tex]

On substituting the values in the above equation, we get

⇒  [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]

⇒  [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]

Answer:

Step-by-step explanation:

Can someone please help me

Answers

Answer:

135ft^3

Step-by-step explanation:

Volume for triangular prism = 1/2bhl

v=1/2*6*5*9= 135

i think the answer would be the 3rd

A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has
the following help in covering the costs of school.
• An academic scholarship of $8,200.
• Other scholarships and grants of $7.400.
Grandparents pay $1,000
.
What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months ?
$690
S820
S1 660
$2 350

Answers

Answer:

720

Step-by-step explanation:

24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Amount and interest

Given the following information from the question

The total cost of fee =  $23,500

Amount got as help;

An academic scholarship of $8,200.

Other scholarships and grants of $7.400.

Grandparents pay $1,000

Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600

Amount remaining = 23500 - 16600

Amount remaining = $6900

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Learn more on the amount here:
https://brainly.com/question/25109150

What is the value of x in the following equation?
7x + 5(2x – 10) = 69

Answers

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

Please solve this math question.

Answers

Answer:

none of these

Step-by-step explanation:

the side lengths are are 2√5/5, 2, and 4.

sin(x) = opp/hyp

sin(x) = 2/2√5

PPT HELP !!!!!!!!!!!!11

Answers

Answer:

Step-by-step explanation:

a) 1 degrees Celsius (the line matches with that number)

b) -2 degrees Celsius

c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)

d) -0.5 degrees Celsius

e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)

I hope this makes sense and you understand it :)

What is the y-intercept of the line?

Answers

Answer:

28

Step-by-step explanation:

Answer:     5 is the y-intercept    and -16 is the slope

22 - 17 =   5

32 - 48 = -16

Step-by-step explanation:

Solve for w. Only use numbers in your answer.

8w - 15 = 57

w =

Answers

Answer:

w = 9

Step-by-step explanation:

1. Add 15 from both sides: 8w = 72

2. Divide my 8: w = 9

Answer:

the answer for this question is 9

Simplify the expression 9x + 5-3x + 12
6x - 7
6x + 17
12x + 17
23x
Please help

Answers

Answer:

6x + 17

Step-by-step explanation:

Combine like terms

9x - 3x = 6x

5 + 12 = 17

6x + 17

15x^2+5x GCF help. out please

Answers

Answer:

5x is the GCF

Step-by-step explanation:

Brainliest will be given ASAP question below!

Answers

Answer:

3/32

Step-by-step explanation:

9/16 × 3/4=27/144=3/16×1/2=3/32

7)
Which could be solved for x?
-0)
A)
2x+2
B)
3(x+ 2)
)
D)
1 / 8x = 12

Answers

B is the correct answer

can someone find the slope intercept equation for this plz thanks ill give brainliest

Answers

Answer:

y = -3/4x - 1

Step-by-step explanation:

it is

A normal six-sided die is thrown once. The number of outcomes in the sample space is

Answers

I think it would be 6 or 1/6

The number of outcomes in the sample space is 6.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.

So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".

Sample space by its definition is list of all the possible outcomes of an experiment.

S={1,2,3,4,5,6}

Hence, the number of outcomes in the sample space is 6.

To learn more on probability click:

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At the store, you see oranges on sale at 1 pound for 3 dollars. At a different store, your brother sees oranges on sale at 3 pounds for 8 dollars.
Do the oranges cost the same at both stores?
Which store offers a better deal?

Answers

go with the brother

Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2 inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.

Part A:
What is the volume of Sarah's box?

Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?

Answers

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

5 pictures frames

How many invitations should Tyler make each day if his goal is 122 and he already made 66 and he wants to finish in a week

Answers

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

3. Mateus recebe a visita do seu avô Pedro a cada 15 dias. João, o tio dele, o visita a cada 100
e, devido a escalas de trabalho, a cada 12 dias Mateus vai à praia com seus pais. Um belo dia Mans
recebeu a visita do seu avô, do seu tio e foi à praia com seus pais (com o avô e o tio que o visitavam nese
dia). Quantos dias depois este acontecimento se repetirà?​

Answers

Answer:

Este acontecimento se repetirá 300 dias depois.

Step-by-step explanation:

Quando os eventos se repetirão no mesmo dia?

Cada evento tem uma frequência.

Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.

Neste problema:

A cada 15 dias o avô visita.

A cada 100 dias o tio visita.

A cada 12 dias vai à praia.

Quantos dias depois este acontecimento se repetirá?​

Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12

MMC de 15, 100 e 12

Fatorando simultâneamente estes valores:

15 - 100 - 12|2

15 - 50 - 6|2

15 - 25 - 3|3

5 - 25 - 1|5

1 - 5 - 1|5

1 - 1 - 1

Então:

mmc(15,100,12) = 2*2*3*5*5 = 300

Este acontecimento se repetirá 300 dias depois.

What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3

Answers

Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Consider the expression

Answers

PHOTOMATHH !!!!!! Take a screenshot of it it’s quick

Answer plz. I'll get my points back if you put something random.

Answers

Answer:

D.

Step-by-step explanation:

Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.

Convert 20% into a fraction
ANSWER QUICKK​

Answers

Answer:

1/5.

Step-by-step explanation:

20%

20/100

20/20 / 100/20

= 1/5

---

Hope this helps!

Answer:

20/100 or 1/5

Step-by-step explanation:

Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25

hope it helps! :3

Which regular polygon would have each of its interior angles measure 140°?

octagon
nonagon
decagon
heptagon

Answers

9514 1404 393

Answer:

  nonagon

Step-by-step explanation:

The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.

The polygon is a nonagon.

Answer:

 nonagon

Step-by-step explanation:

i got 100%

NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest


Find the measure of angle C
show work and explain!

Answers

Answer:

Angle C =  45°

Step-by-step explanation:

Hello There!

If you didn't know opposite angles are congruent in parallelograms

So ∠A≅∠C and ∠B≅∠D

So if ∠A = 45° then ∠C also equals 45°

As it is a parallelogram

[tex]\\ \sf\longmapsto <B\cong <D[/tex]

[tex]\\ \sf\longmapsto <A\cong <C[/tex]

<A=45°[/tex]

[tex]\\ \sf\longmapsto <C=<A=45°[/tex]

Covert 2/3 years to months

Answers

Multiply by 12 so 8

thank you hope this helps

Answer:

7.9 or if you need to round it,it will be 8

Step-by-step explanation:

dont have a explanation nut i hopes this help.

Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y⁢^⁢  = 57.25 − 1.07x1 − 0.64x2

Answers

According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.

The regression equation provided is:

ŷ = 57.25 - 1.07x1 - 0.64x2

Where:

ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)

x1 represents the Thickness of Insulation (inches)

x2 represents the Outdoor Temperature (ºF)

Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).

The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.

The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.

The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.

for such more question on regression equation

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B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each​

Answers

Answer:

$1,500

Step-by-step explanation:

Income - Expenses = Savings

     

     Income = 2 × 10,000 = $20,000

     Expenses = 3,500 + 10,000 + 5,000 = $18,500

$20,000 - $18,500 = $1,500 left for Savings

Which fraction has the larger value? *
-3/4
-1/2

Answers

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

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