A mother is now nine times as old as her son. In four years' time she will be five times as old as her son.What are their present ages

Answers

Answer 1

Answer:

son = 4

mom=36

m = 9s

m + 4 = 5(s+4)

m + 4 = 5s + 20

9s + 4 = 5s + 20

4s = 16

s = 4

m = 36

Step-by-step explanation:


Related Questions

solve for variable (image attached)

Answers

Answer:

x = 2

Step-by-step explanation:

Given

[tex]\frac{3(6x+8)}{4}[/tex] = 15 ( multiply both sides by 4 to clear the fraction )

3(6x + 8) = 60 ( divide both sides by 3 )

6x + 8 = 20 ( subtract 8 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

The value of x in the equation is 2

The equation given :

3(6x + 8) / 4 = 15

Multiply both sides by 4

3(6x + 8) = 15 × 4

3(6x + 8) = 60

Open the bracket

18x + 24 = 60

18x = 60 - 24

18x = 36

x = 36/18

x = 2

The value of x in the equation is 2

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Tom bought $81 worth of milk. The price of a bottle of Brand A milk was $1.50 and of Brand B milk was $2.10. He bought 40 bottles of Brand A milk. How many bottles of Brand B milk did he buy? ​

Answers

he spent $60 on brand a milk so that means he spent $21 on brand b milk so that means bought 10 bottles of brand be milk
He bought 10 brand b milk

express tan J as a fraction in simplest terms​

Answers

Answer:

tan j = 15/9

Step-by-step explanation:

tan(theta) is equal to perpendicular by base

Simplify: (14^6*15^5)/(35^6*6^5)​

Answers

Answer:

2/5

Step-by-step explanation:

=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5

=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)

=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5

=2/5

The simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

How to simplify the expression?

The expression is given as:

(14^6*15^5)/(35^6*6^5)​

Express 14 as 2 * 7, 15 as 3 * 5 and 35 as 5 * 7

[tex]\frac{(2 * 7)^6 * (3 * 5)^5}{(5 * 7)^6 * (2 * 3)^5}[/tex]

Expand the expression

[tex]\frac{2^6 * 7^6 * 3^5 * 5^5}{5^6 * 7^6 * 2^5 * 3^5}[/tex]

Divide the common factors

[tex]\frac{2}{5 }[/tex]

Rewrite as:

2/5

Hence, the simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

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What are the dimensions of this rectangle?

Answers

Answer:

F:53cm by 102cm

Step-by-step explanation:

The perimeter of a rectangle can be seen as 2l + 2w, with the length being l, and the width being d. If the ratio is 3:2, then 3+2= 5 parts would be the sum of the length and the width, This is half of the perimeter 2(l+w), so 510÷2 = 255. One part would be 255÷5=51.

If you put it into the ratio, effectively it is:

Length:Width

3×51:2×51

153  :102

Therefore the dimensions are 153cm by 102cm, which is F.

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FEEL FREE TO CHECK MY USER FOR QUESTIONS FOR YOU TO ANSWER!!!
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Answers

Answer:

3 a) 8x +8 in

3 b) 24 in

3 c) 4x +4 in

3 d) 16x + 16 in

Step-by-step explanation:

3 b) You have to put 2 in place of x and calculate the perimeter:

8•2 +8

16 +8

24 in

Multiply (x + 1)(x + 3)

Answers

Answer:

x² + 4x + 3

Step-by-step explanation:

(x + 1)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 3) + 1 (x + 3) ← distribute parenthesis

= x² + 3x + x + 3 ← collect like terms

= x² + 4x + 3

Answer:

it's the answer ...

hope your day will be happy

and the last add 3x+x = 4x

What is the equation of the line that passes through the point (4,-8)(4,−8) and has a slope of -1/2

Answers

9514 1404 393

Answer:

  y +8 = -1/2(x -4)

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Your line has a slope of -1/2 and goes through point (4, -8). Its equation is ...

  y +8 = -1/2(x -4)

_____

In slope-intercept form, this is ...

  y = -1/2x -6

In standard form, it is ...

  x +2y = -12

Terry has 14 coins. She has some quarters, 5 nickels and one dime more than she has nickels. How many of
each coin does she have? How much money does she have all together?

Answers

$1.60

5 nickels = 25¢
6 dimes = 60¢
3 quarters = 75¢

25+60+75=160

Answer:

1.60 ............................

Explain what are all of the properties of real numbers and use an example for each.

Answers

Answer:

mark me as a brainlist answer

Step-by-step explanation:

Give examples to explain the properties of real numbers

Property (a, b and c are real numbers, variables or algebraic expressions)Examples8.Additive Inverse Property a + (-a) = 04 + (-4) = 09.Multiplicative Inverse Property10.Zero Property of Multiplication a • 0 = 04 • 0 = 011.Closure Property of Addition a + b is a real number10 + 5 = 15 (a real number)

What number doubled and added to 12 gives 20?​

Answers

Answer:

8

Step-by-step explanation:

4 doubled and added to 12 gives 20.

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let number be x

2x + 12 = 20

2x = 20-12 = 8

2x = 8

x = 8/2 = 4

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7. Dean has a checking account at City Center Bank. During the month of April, he made deposits
totaling $2,458.52 and wrote checks otaling $789.23. He paid a maintenance fee of $25 and
earned $3.24 in interest. His balance at the end of the month was $4,492.76. What was the
balance at the beginning of April

Answers

Answer:

2848.47

Step-by-step explanation:

Will Mark Brainliest
A couple is getting married. The event venue for their reception costs $3000 plus $20 per guest for catering. Decorations will cost $750. If the couple wants to keep the total cost of their reception under $6,000, what is the maximum number of guests that they can invite? Define a variable, write an inequality and solve.

Answers

Answer:

112.5 guests

Step-by-step explanation:

3,000 + 750 = 3,750. 6,000 - 3,750 = 2,250. 2,250/20 = 112.5 hope this helps

Need help ASAP pls !!!!

Answers

Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.

The theoretical probability of getting a head when you flip a fair coin is
1
2
, but if a coin was actually flipped 100 times you may not get exactly 50 heads, although it should be close to this amount.

If a coin was flipped a hundred times, the amount of times a head actually did appear would be the relative frequency, so if there were 59 heads and 41 tails the relative frequency of flipping a head would be
59
100
(or 0.59 or 59%).

Relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.

For example, when using a biased dice, the probability of getting each number is no longer
1
6
. To be able to assign a probability to each number, an experiment would need to be conducted. From the experimental results, the relative frequency could be calculated.

The more times that an experiment has been carried out, the more reliable the relative frequency is as an estimate of the probability.

Example

Ella rolls a dice and records the number of times she scores a six. Find the relative frequency that Ella rolls a six on her dice.

2. Using what you learned in Question 1, try to write
each of these quadratic expressions as a product of
two linear expressions. That is, try to write each
expression in factored form.
a. x^2 + 5x + 6
b. x^2 + 2x - 15
C. X^2 - 3x + 10
d. x^2 - 9x+8
e. x^2 - 16
f. X^2 - 10x + 6

Answers

Answer:

Ans

Step-by-step explanation:

In Q. No. F, 1st page last step there is /2.

OK

Which theorem can be used to show that AABC = ADEC?

Answers

ASA. It’s the angle side angle since you’ve got the vertical angles, a side in the middle, and the other set of congruent angles.

Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours

The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!

Answers

In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.

Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.

Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:

5x/12=1

Only some of the students in the Level 1 swim lessons move up to Level 2 at the end of the session. The table shows what fraction of each swim instructor's students move up to Level 2. Which list orders the fractions from least to greatest?​

Answers

Answer:

7/12 ,2/3, 17/24, 3/4

Translate 13 more than n to an algebraic expression

Answers

Answer:

13+n

Step-by-step explanation:

Answer:

13 + n

Step-by-step explanation:

This is because the known number is 13 times more than n so if the value of n is found, _+ 13_ will give you the final answer.

A total of 388 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?​

Answers

Answer:

97

Step-by-step explanation:

388 (number of tickets) / 4 (number of groups (adults, and the 3 times as many kids))

If the number of student tickets sold was three times the number of adult tickets sold, 97 adult tickets were sold.

Let's assume the number of adult tickets sold is 'x.'

According to the information given, the number of student tickets sold was three times the number of adult tickets sold. So, the number of student tickets sold is 3x.

The total number of tickets sold is the sum of the adult and student tickets, which is 388:

x + 3x = 388

Now, combine like terms:

4x = 388

To find the value of 'x,' divide both sides of the equation by 4:

x = 388 / 4

x = 97

To verify the result, let's find the number of student tickets:

Number of student tickets = 3 * 97 = 291

Now, let's add the adult and student tickets:

97 (adult) + 291 (student) = 388

The result checks out, and we have 97 adult tickets and 291 student tickets, which together sum up to the total of 388 tickets sold for the school play.

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How many different ways can you use the digits 3 and 5 to write
expressions in exponential form? What are the expressions?

Answers

Answer:

Therefore , Total no of ways to fill the 3-digits number is = 3*3*3 =27 . So, we can make 27 different 3-digits number using these numbers 1 ,5 ,7 by arranging them in 27 different waysStep-by-step explanation:

If 2x minus 4 equals negative 18 what is x with shown work

Answers

Answer:

-7

Step-by-step explanation:

Equation: 2x - 4 = -18

First, add 4 to both sides:

2x = -14

Finally, divide both sides by 2:

x = -7

Check (optional):

2(-7) - 4 = -18

-14 - 4 = -18

-18 = -18 so this is correct

If you're confused about any of these steps, just let me know and I'll try to clear it up for you! :)

At 4:00 a.m., the temperature was -9°F. At noon, the temperature was 18°F. What
was the change in temperature??
help me pls :\

Answers

The temperature went up by 9 three times, I’m not 100% sure if I’m correct however I think it is this because it’s going up in that pattern

Point W is on line segment V X. Given VX = 18 and VW = 14 determine the length W X

Answers

Answer: WX = 4

Concept:

Here, we need to know the idea of segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

VX = 18

VW = 14

Given expression deducted from the segment addition postulate

WX = VX - VW

Substitute values into the expression

WX = 18 - 14

Simplify by subtraction

WX = 4

Hope this helps!! :)

Please let me know if you have any questions

Its line segment please help

Answers

Step-by-step explanation:

[tex]here \: c \: is \: the \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: to \: gather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} = 13 \\ \\ thank \: you[/tex]

Need help understanding! please and thank you.

Answers

Answer:

I only know 5 and 6. 7 stumped me

5) even

6) odd

Step-by-step explanation:

f(x) 2x+6; vertical shrink by a factor of 1/2

Answers

Plug in the vertical shrink into the original equation to make f(x) = 1/2(2x+6)

My victory will be in your hands if you answer this ✌✌✌✌✌

Answers

Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

Answer:

She will pay $52

Step-by-step explanation:

So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars.  By the way substitute this money sign $ for the one on your page

I NEEDDD HELPPPP!! Order the numbers from least to greatest. 1=least and 4=greatest

Answers

Answer:

✓9/4,5/3,✓5,2.5

Step-by-step explanation:

✓9/4=3/2=1.5

✓5=2.2

5/3=1.6

Please help simplify with work. Will give brainliest.

Answers

Answer:

[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex]

Step-by-step explanation:

[tex]2 {x}^{4} (9 {x}^{3} y^{2} {z}^{6} {)}^{2} [/tex]

➡️[tex] {9}^{2} \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]

➡️ [tex]81 \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} {y}^{4} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} {y}^{4} {z}^{12} [/tex]➡️ [tex]2 {x}^{4} \times 81 {x}^{6} {y}^{4} {z}^{12} [/tex]

➡️[tex]162 {x}^{4} \times {x}^{6} {y}^{4} {z}^{12} [/tex]

➡️[tex]162 {x}^{4 + 6} {y}^{4} {z}^{12} [/tex]

➡️[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex] ✅

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