Mathematics High School

My question is in the attachment.

Answers

Answer 1

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

Answer 2

Answer:

The son is 5 and the father is 25.

Step-by-step explanation:

We can do this using Algebra.

Let the son be x years old.

Then the father's age is x + 20 years.

After 5 years the father's age is x + 25 and the son is x + 5 years.

So we can write the equation:

x + 25 = 3(x + 5)

x + 25 = 3x + 15

25 - 15 = 3x - x

10 = 2x

x = 5.

So the father's present age is 20 + 5 = 25 and the son is 5 years old.

Related Questions

mai has 36$ to spend on movie tickets each movie ticket cost 4.50$ how many ticket can she buy multiplication problem

Answers

Answer:

Step-by-step explanation:

Mai has $36 and each movie ticket is $4.50.

You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.

Identify the center and radius of the circle (x – 5)^2 + (y+1)^2 = 4.
²
O A. Center: (5,-1), r= 4
O B. Center: (-5,1), r = 4
C. Center: (5, -1), r= 2
O D. Center: (-5,1),r= 2

Answers

Answer:

The answer is C.

Step-by-step explanation:

The equation of a circle, centre (a, b), radius r is given by (x - a)² + (y - b)² = r².

A farmer decides to make three identical pens with 88 feet of fence. The pens will be next to each other sharing a fence and will be up against a barn. The barn side needs no fence. What dimensions for the total enclosure (rectangle including all pens) will make the area as large as possible?

Answers

Answer:

The long fence, AC = 44 feet

4 shorter segments at 11feet each = 44 feet

Area = 484 ft^2

Step-by-step explanation:

The three pens will share one fence section parallel to the barn, we'll call it AB. Each pen will need two side fence segments, from the front fence to the barn. We'll call those portions AC. We need four of them: two for the outer sides and two more to divide up the space equally among the three pens. The total area would be AB*AC.

We know that AC + 4AB = 88 feet.

or AC = (88feet - 4AB)

Area = AB(88feet - 4AB)

Area = 88AB - 4AB^2

To maximize the area, we can take the first derivative and set it equal to zero:

Area' = 88 - 8AB

0 = 88 - 8AB

AB = 11 feet

AC = (88 - 4AB)

AC = (88 - 44)

AC = 44 feet

The fours segments of fence:

AC + 4AB = 88 feet

(44) + 4(11 feet) = 88feet

Area = 44' x 11 ft' = 484 ft^2

Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
bank account after tomorrow.
deposit $15. Write an expression to represent how much money Bernie will have in his

Answers

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

Find the slope and the y-intercept of the equation below:

1. 4x-3y=12
2. 2y=6x-12

if you can put the step please do so. Tysm.

Answers

Answer:

m = 4/3; b = -4m = 3; b = -6

Step-by-step explanation:

In each case, solve for y. You do this by getting the y-term by itself, then dividing by the coefficient of y.

-3y = -4x +12 . . . . . subtract 4x

y = 4/3x -4 . . . . . . . divide by -3

The slope is 4/3; the y-intercept is -4.

y = 3x -6 . . . . . . divide by 2

The slope is 3; the y-intercept is -6.

_____

Additional comment

Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.

(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are addition, subtraction, multiplication, division, and substitution properties of equality. Any equation solving process will make use of one or more of these.)

Find the 63rd term of the arithmetic sequence 17, 26, 35

Answers

Answer:

a₆₃ = 575

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then

a₆₃ = 17 + (62 × 9) = 17 + 558 = 575

Hurry I need to get this done

Answers

A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.

B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.

C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.

D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.

So A. is the correct answer.

Answer:

A. (2,4), (2,7)

Hope you could get an idea from here.

Doubt clarification - use comment section

With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What
percentage was the discount? Show your work!
LZ Math 7

Answers

Answer:

14%

Step-by-step explanation:

Find the LCM of the numbers.
3,16,20

Answers

Answer:

240

Step-by-step explanation:

find multiples of 3 16 and 20 and multiply the multiples . you will get 240 .

i hop it helps you ❤

Y-5=0.5x^2+6x-3 how many x-intercepts does the graph of this quadratic have ?

Answers

we have that

Y - 5 = 0.5x2 + 6x - 3--------------- > y=0.5x2 + 6x -3+5=0.5x2 + 6x+2

y=0.5x2 + 6x +2

using a graphic tool

see the attached figure

the graph have two x-intercepts----------> (-11.657,0) and (0.343,0)

Terre Haute to Indianapolis to Bloomington measure 3 cm on the map. What is the actual distance?

a) 100 km
b) 150 km
c) 200 km
d) 250 km

Answers

From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.

From the complete information, we are told that on the map of Indiana, 1cm = 50km.

Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:

= 3 × 50 = 150km

Learn more about distance on:

https://brainly.com/question/2166162

Answer:

if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6

then here are the correct answers

Step-by-step explanation:

1. B. 150 km

2. A. 300 km

3. D. 7.5 cm

4. B. 30 yd ^ 2

5. A. 90 x 45

i hope this helps please coment if you can! = ) <3

1/5 divided by 2/15 as a mixed number

Answers

Answer: 1 1/2

Step-by-step explanation:

Step One: 3 / 2 = 1.5000 = 1

Step Two: 3 - (2 x 1) = 1

Step Three: 1 1/2

Please mark me branliest

3/2 I think
Hope this helps

please help quick

A cone has a height of 10 in. and a radius of 4 in.

What is the slant height of the cone?

A
116−−−√
in.
B
96−−√
in.
C
84−−√
in.
D
104−−−√
in.

Answers

Answer: Choice A. sqrt(116)

==========================================================

Explanation:

If we were to view a vertical cross section of the cone, then we get a triangle. This triangle splits along the vertical height line to form two congruent right triangles.

The horizontal piece of each triangle is the radius r = 4.

The vertical piece is the height h = 10.

Apply the pythagorean theorem to find the slant height, which is the hypotenuse of the right triangle.

a^2 + b^2 = c^2

r^2 + h^2 = x^2

4^2 + 10^2 = x^2

16 + 100 = x^2

116 = x^2

x^2 = 116

x = sqrt(116)

Using the picture below, which angle is alternate exterior to angle 2?

Answers

It’s 7 because it is on the exterior, and the other side, of the the parallel lines from 2.

) Kora is working on a scrapbooking project. She buys packages of stickers at two different stores.
The price of the stickers at each store is p dollars, but each store offers a different discount
Discount on Packages of Stickers
• Which expression represents the total price Kora
pays for 5 packages of stickers at Store A and
3 packages of stickers at Store B?
3{p - 100) + 512 -0.75) 5(p+1.00 +3(p+0.75)
Store A $1.00 off each package
Store B $0.75 off each package
5(p - 1.00) + 3(p -0.75)
3(p+1.00) + 5(p +0.75)

Answers

The expression that can be used to represent the total price is 3(p - $0.75) + 5(p - $1).

The expression that can be used to determine the total amount spent in store A is:

number of stickers bought x ( price of the item - discount) number of stickers bought = 5 price of the stickers = p discount = $1

5(p - $1)

The expression that can be used to determine the total amount spent in store B is:

number of stickers bought x ( price of the item - discount) number of stickers bought = 3 price of the stickers = p discount = $0.75

3(p - $0.75)

Total price = 3(p - $0.75) + 5(p - $1)

A similar question was solved here: https://brainly.com/question/25717996

Please find attached an image with the complete question.

Answer the ones you want to. Answer at least one.

Have no idea how to do this. Please help I beg you.

Answers

Answer:

I will answer one of them! Let's do... number 2.

Step-by-step explanation:

Conjecture: Each number increases by 5 each time.

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

I assume the problem is to graph the lines. The easiest is to pick two values of x and calculate y for each line. For example:

21. y = -4x + 5 I'll randomly choose vales of 1 and 2 for x and calculate y:

(1, 1) and (2, -3)

Now mark those two points and draw a straight line through them. It is an equation of a straight line, so we know this will be correct.

22. Same process:

(1,6) and (2,7)

23. (1,0) and (2,-3)

24. (1,-4) and (2,-6)

=====================

These are shown in the attachment. What's also shown is the second method of producing the lines: Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

Identify the missing angle measure in a right triangle where one angle measures 12°.
168°
78°
Cannot be determined
88°

Answers

Answer:

Step-by-step explanation:

180-90-12=78

90 + 12 + missing angle = 180

102 + missing angle = 180

Missing angle = 180 - 102

Missing angle = 78

Hope this helps!
Brainliest is much appreciated!

PLEASEEEE HELPPPPPP ME

Answers

Answer:

Step-by-step explanation:

What is the result when the number 15 is increased by 20%

Answers

Answer:

Step-by-step explanation:

15 divided by .20 = 75

75
20% is .20 and
15/.20 = 75 therefore your answer should be 75

I willl mark brainiest plz answer send right answer get points

Answers

Answer: Option D

Step-by-step explanation:

Soup : 15/5 is 3 x 7 is 21

Peanut: 35/7 is 5 x 5 is 25

The answer is D

It is easy

Multiply the monomials:
(3/4)pq, (1/2)qr^2, -5q^2r^3 and -6r^5

Answers

Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵

On multiplying them then

⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]

⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)

⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)

⇛ (90/8)×p³×q²×r¹⁰

Since a^m × a^n = a^(m+n)

⇛ (45/2)×p³×q²×r¹⁰

⇛( 45/2 ) p³q²r¹⁰

Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰

The average mass of a group of X people in a class is 60 kg. Albert, Ben and Carl join the group and the new average mass is 20 kg The average mass of Alpert, Ben and Carl is 100 kg.
What is the value of x?

Answers

Step-by-step explanation:

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Kelly bought cups for home. Each cup cost $3. He gave
$40 to the cashier and got $13 back in change. How many
cups did she buy?

Answers

Answer:

40-13=27

3*9=27

She bought 9 cups.

Brainliest plz

HELPP!! Can someone tell me what this expanded form is as a decimal??
(1 x 100) + (9 x 10) + (6 x 1) + (8x1/10) + (8 x 1/100)

Answers

196.88

Hope this helps!
Brainliest is much appreciated!

2(w+5)
Use the distributive property to remove the parentheses.

Answers

Answer:

2w +10 yw and give me brainliest cuz its correct

Step-by-step explanation:

Write an inequality that represents the graph

Answers

Step-by-step explanation:

first step is to define the line, and then, secondly find the right direction of the inequality.

we see a few nice points with integer coordinates.

the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).

another point is (1, 3).

so, the slope is

x changes by +1 (from 0 to 1)

y changes by +2 (from 1 to 3)

so the slope is 2/1 = 2

that means our equation is

y = 2x + 1

the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).

so, we get

y > 2x + 1

solve for x PLS HELP QUICK I HAVE A FINAL TMRW AND I REALLY NEED TO KNOW HOW TO DO IT

Answers

Answer:

x = -9/2

Step-by-step explanation:

64 = 2^6

if you have the same base, you can set the exponents equal and solve for x.

-2x-3 = 6

-2x = 9

x = -9/2

good luck on your final! you got this!

Step-by-step explanation:

[tex] {2}^{ - 2x - 3} = 64[/tex]

first, get 64 to a base of 2

[tex] {2}^{ - 2x - 3} = {2}^{6} [/tex]

now we can drop the bases

[tex] - 2x - 3 = 6[/tex]

And now we can solve it like any other equation

[tex] - 2x = 6 + 3[/tex]

[tex] - 2x = 9[/tex]

[tex]x = - \frac{9}{2} [/tex]

Sebastian compares toy car prices at three different store so he can get the best deal for his little brother's Christmas gift.

a. Toys R Us – 5 cars for $6.25

b. Walmart – 10 cars for $12.64

C. Target-2 cars for $2.76

Which store has the best unit rate?

Answers

a) Toys R Us - 6.25 / 5 = 1.25
b) Walmart - 12.64 / 10 = 1.264
c) Target - 2.76 / 2 = 1.38
So Toys R Us has the best unit rate (cheapest)

If today is Saturday, what day will it be 70 days from now?

Answers

Answer:

If today is Saturday, then after 70 days, we will be on a Saturday again.

Step-by-step explanation:

Basically, 70 days = 10 weeks

Which means: 1 week = 7 days

We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.

Hoped this helped.

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My question is in the attachment.