If you add​ Natalie's age and​ Fred's age, the result is 41. If you add​ Fred's age to 3 times​ Natalie's age, the result is 71. Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Answer 1

Answer:

Fred's age: 26    Natalie's age: 15

Step-by-step explanation:

    F + N = 41

-)  F + 3N = 71

____________

=> -2N = -30

=> N = 15

F + 15 = 41 => F = 26


Related Questions

A number is chosen at random from 1 to 10. Find the probability of selecting
an odd number

Answers

Answer:

5 out of 10, 5/10, or 50%

Step-by-step explanation:

When should you use the 3 different quadratic forms (vertex, standard and factoring) When would it be convenient to use each form

Answers

Answer:

The answer is attached. Somehow the platform does not allow me to enter the same answer here.

Which statement is false? A. (−2)×5<(−20) B. (−2)×(−5)>(−25) C. 2×5>(−25) D. 2×(−5)<20

Answers

Answer:

(−2)×5<(−20)

Step-by-step explanation:

Evaluating the options given :

(−2)×5<(−20)

Open the bracket

- 10 < - 20 (false) ` This expression isn't true

(−2)×(−5)>(−25)

Open the bracket

10 > - 25 (true)

2×5>(−25)

Open the bracket

10 > - 25 (true)

2×(−5)<20

Open the bracket

- 10 < 20

use distributive property to rewrite 5(9+x)

Answers

Answer:

45+5x

Step-by-step explanation:

20 POINTS!!!!!! SOLVE FOR X​

Answers

Answer:

All you have to do is equal the equations to each other to find x for each problem!

Step-by-step explanation:

Hope this helps bestieee!

ASAP please :))) will greatly appreciate

Answers

Slope is 2/3 and slope is -4

y – 10 = -2(x + 9)
Use the following
equation that is in
point sope form and
simpify into siope
intercept form
Then identify the
slope and intercept
of the line.
ya

Answers

Answer:

slope intercept form

y=-2x-8

m=-2

y-intercept = (0,-8)

Kimberly has to pay taxes on her annual salary and investments. Which type of tax is Kimberly paying?

1)Payroll tax
2)Sales tax
3)Property tax
4)Income tax

Answers

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

Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If his unpaid balance is $354.15 this month, what is his finance charge?​

Answers

Answer:

Hi there, $4.04 should be his finance charge.

Step-by-step explanation:

Sam kicks a ball from the ground with a starting velocity of 32 feet per second. The ball soars into the air, arcs down with parabolic motion, and lands back on the ground. Write an equation to describe the height of the ball as a function of time, using h(t)=-16t^2+vt+s. PLS HELP!!!!!!

Answers

Answer:

The function that describes the height of the ball in time is  [tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex].

Step-by-step explanation:

Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.

Hence, the kinematic formula for the height of the ball ([tex]h(t)[/tex]), in feet, is described below:

[tex]h(t) = s + v\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)

Where:

[tex]s[/tex] - Initial height with respect to the ground, in feet.

[tex]v[/tex] - Initial velocity, in feet per second.

[tex]t[/tex] - Time, in seconds.

[tex]g[/tex] - Gravitational acceleration, in feet per square second.

If we know that [tex]s = 0\,ft[/tex], [tex]v = 32\,\frac{ft}{s^{2}}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that describes the height of the ball in time is:

[tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex] (2)

120 students of a hostel food enough for 60 days. if 30 more students joined after 15 days. how long will the remaining food last.​

Answers

Answer:

24 days

Step-by-step explanation:

120 students =30 days

120+30 =150 students

MORE/LESS METHOD

120 students (a) : 30 days(y)

150 students (b) : x

Find the value of x using the formula: a/b × y

If you think the value of x will be more than y then the bigger number will be the numerator. If u think x will be less, then the smaller number will be in the numerator.

I predict that x will be less than y

THEREFORE... 120/150 ×30

= 24 days

Step-by-step explanation:

ans is simple so plz tell me that it is right or wrong and also it is helpful to u or not

AREA OF A TRAPEZOID PLEASE HELP

Answers

a= a+b over 2 times height
18 + 8 = 26
26 divide by 2 = 13
13 x 6 = 78
area is 78

PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH

What 2-dimensional shapes do you see when you look at the Hexagonal Prism? Choose ALL that you see.

Squares

Rectangles

Triangles

Hexagons

Pentagons

Trapezoids

Answers

Answer:

All of the above EXCEPT pentagons

Step-by-step explanation:

Well I already explained in the comments and I am pretty sure you already answered the question but for the points :)

Good day!

Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?
A. 2 1/4
B. 1 1/2
C. 4 1/2

Answers

Answer:

A 21/4

Step-by-step explanation:

When forming a perfect square trinomial you need to "complete the square".

All of the steps to completing the square when solving an equation:

1.  The leading coefficient must be 1.  

2.  Divide b by 2.

3.  Square (b/2)

4.  Add (b/2)^2 to both sides to keep the polynomial balanced.

5.  You can now write the perfect square trinomial and solve.

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

What is the area of rhombus ABCD? 98.28 cm 2 78.00 cm 2 24.57 cm 2 39.00 cm
Hurry

Answers

Yo⁣u ca⁣n downloa⁣d th⁣e answe⁣r her⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Amelia used 666 liters of gasoline to drive 484848 kilometers.
How many kilometers did Amelia drive per liter?

Answers

Answer:

728 km / lit

Step-by-step explanation:

kilometers per liter = kilometers / liters

k/l = 484848 / 666

kilometers per liter = 728

Answer: The answer is 8 kilometers

Step-by-step explanation:

khanacademy

Walter scored a 1,285 on a national test in January. He
decided to take the test in March again and scored 1,230.
What is the percent decrease in Walter's test scores?
ROUND TO THE NEAREST HUNDREDTH.

Answers

Answer:

4.28%

Step-by-step explanation:

1285 - 1230=55

(55/1285) ×100%=4.28%

Help! I will give me the brainiest!

Answers

Answer:

48 Ounces of red

Step-by-step explanation:

4+3=7

112/7= 16

you will need to add 3 ounces of red and 4 ounces of blue 16 times

16 x 3 (ounces of red)= 48

Find the area. Simplify your answer.

Answers

Answer:

10x + 9

Step-by-step explanation:

If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?

Answers

Answer:

The radius of its base is 6 inches

Step-by-step explanation:

The radius of the base of a cone r , the slant height of the cone l and the height of the cone h forms a right triangle, with the slant height being the hypotenuse of the right triangle

Mathematically, since we have a right triangle, we can find the radius of the base by the use of Pythagoras’ theorem

According to Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

l^2 = r^2 + h^2

l = 10 inches

r = ?

h = 8 inches

10^2 = r^2 + 8^2

100 = r^2 + 64

r^2 = 100-64

r^2 = 36

r = √(36)

r = 6 inches

I need help : (((((((

Answers

the answer is x=-1/3

can someone pls help me

Answers

Answer:

x=−8 and y=−4

Step-by-step explanation:

8x−17y=4;−8x+15y=4

add eqn1 and 2

to eliminate x

you will get y=-4

put it zin eqn 1

x=-8

At the start of a party, a drink dispenser contains 9 ½ quarts of iced tea. After the party only 7 cups of tea remain.

How many cups of iced tea did people drink during the party?

Answers

9 1/2 quarts is the same as 38 cups. So you would just subtract 38-7 to get 31. So 31 cups were drank.

Answer:

the answer is 31

Step-by-step explanation:

300$ at 6% for 2 yrs what is the simple interest​

Answers

Answer:

Simple interest after 2 year = $36

Step-by-step explanation:

Given:

Amount invested = $300

Number of year amount invested = 2 year

Rate of interest per year = 6% = 6/100 = 0.06

Find:

Simple interest after 2 year

Computation:

Simple interest formula;

Simple interest = [Amount invested][Rate of interest][Number of year]

Simple interest after 2 year = [300][0.06][2]

Simple interest after 2 year = [18][2]

Simple interest after 2 year = $36

just some easy 5th grade math please help and don’t give me any link.

Answers

Answer:

6 x 3 x 1 = 18

4 x 8 x 3 = 96

18 + 96 = 114 ft cube

A motorist takes 80 minutes to travel 120km. find his speed

Answers

Answer: 90km/hour

Step-by-step explanation:

The formula for speed is given as:

= Distance / Time

where,

Distance = 120km

Time = 80 minutes = 80/60 = 1 1/3 hours

Speed = Distance / Time

= 120 / 1 1/3

= 120 / 4/3

= 120 × 3/4

= 90km/hour

The speed is 90km/hour.

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

hi answer is 69 solved by Pythagoras theorem

Answer:

7.94

Step-by-step explanation:

We can use the Pythagorean theorem for this

since we know two legs, and not the hypotenuse, we should solve for that

the pythagorean theorem states that a squared + b squared is equal to c squared. C, is the hypotenuse, sos let’s plug it in

16 + 47 = c squared

63 = c squared.

square root 63 = c

c is equal to 7. 94 rounded to the nearest hundered

Are there more than one outlier?

Answers

Answer:

yes there is two

Step-by-step explanation:

the outlier is the ones that are away from all the others

Answer:

Yes there is

Step-by-step explanation:

There are Many more outliers since the data points are scattered

b) Here are the first four terms of another sequence.
6 11 16 21
Write an expression for the nth term of this sequence.

Answers

Answer:

        aₙ = 5n + 1

Step-by-step explanation:

11 - 6 = 5  ,   16 - 11 = 5  ,  21 - 16 = 5

So, it's atithmetic formula with common difference os 5

[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]

PLEASE HELP. NO LINKS. (LINKS WILL BE REPORTED.) NEED REAL EXPLANATION ALONG WITH THE CORRECT ANSWER CHOICE OR CHOICES.

Answers

Answer:

False true true true

Step-by-step explanation:

So sorry for the rough sketch but that is how it will reflect

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