My sister is 3 times as old as I am. Five years from now, she will be twice as old as I will be. How many years old is my sister now?

Answers

Answer 1
Lets assume present ages as below:
Me: M
Son: S

5 years ago, I was 3 times as old as my son
M-5 = 3(S-5)
M-5=3S-15
M-3S=-10...........1

5 years hence, I will be twice as old as him,
M+5=2(S+5)
M+5=2S+10
M-2S=5.............2

equation 2-1
(M-2S) - (M-3S) = 5 - (-10)
S=15

If S=15, M=35
hope this helps

Related Questions


13. In the matrix shown, which element is a1,2?

A. 8
B. 2
C. 6
D. 5

Answers

The element is 5.

Your question is incomplete. Please find below the missing content.

What is the Matrix?

Matrix is hard and fast of numbers arranged in rows and columns so one can form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide programs in engineering, physics, b, and facts in addition to various branches of arithmetic.

What are the types of matrices?

row matrix, column matrix, null matrix, square matrix, diagonal matrix, upper triangular matrix, lower triangular matrix, symmetric matrix, antisymmetric matrix.

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suppose you earn $7.25 per hour working part-time for a florist. Write and solve an inequality to find how many full hours you must work to earn at least $125

Answers

7.25x > 125 because x equals amount of hours times 7.25 is greater that 125
Let's say t is the amount of time (in hours) it takes to make $125,
with that out of the way, the keyword "at least" makes it so that you can get 125 or more in t hours.
The inequality is $125<=7.25t.
Now you can use the guess and check method, for this example we'll use t=18 and t=17. 
7.25(18)=$130.5
7.25(17)=$123.25

Therefore, the answer is 18, because 18 gives you a number greater than or equal to $125

In 34 pound of a spice mix, there is 56 cup of cinnamon.
How much cinnamon does the spice mix contain per pound?

5/8 cup

​ 9/10 ​ cup

​ 1 1/9 ​ cups

​ 1 3/5 ​ cups

Answers

Find the unit rate:

56 cups cinnamon
------------------------- = 1.64 cups of cinnamon per pound.
  34 pounts

This result (11/17 cups/lb) does not match any of your 4 answer choices, but is closest to 1 3/5 cups/lb.
Final answer:

To determine the amount of cinnamon per pound of the spice mix, divide the total cups of cinnamon (56) by the total pounds of the mix (34), resulting in approximately 1.647 cups per pound. This equates to 1 3/5 cups of cinnamon per pound, which is the closest option.

Explanation:

The question asks us to calculate how much cinnamon is contained in each pound of a spice mixture if we know that there are 56 cups of cinnamon in 34 pounds of the spice mix. To find the cinnamon content per pound, we'll divide the total number of cups of cinnamon by the total number of pounds of the spice mix.

Here is the calculation:
56 cups cinnamon / 34 pounds spice mix = cups per pound.

Doing the division, we get: 56 / 34 = 1.647 cups, which we need to express as one of the provided options. The nearest option to 1.647 is 1 3/5 cups, or 1.6 cups, when rounded to the nearest fraction.

Therefore, the spice mix contains 1 3/5 cups of cinnamon per pound.

15=7-x find x please

Answers

x is 8, you minus 7 from both sides
The answer to this is x = -8.

The slope of the line below is negative 1/7 write the point slope equation of the line using the coordinates of the labeled point? Plz help I'll give brainliest answer

Answers

Point slope equation is written in the format y-y1=m(x-x1), with the x1 and y1 being the coordinates of a point on the line, and m = slope.

m=-1/7
x1=3
y1=3

y-3=-1/7(x-3)

The correct answer is a.
I would say A because y=mx+b so since its negative this would be the most logical explanation



Tom Quig traveled 260 miles east of St. Louis. For most of the trip he averaged 60 mph, but for

3)

one period of time he was slowed to 20 mph due to a major accident. If the total time of travel was

7 hours, how many miles did he drive at the reduced speed?

Answers

I think it's 4 hours because 60 times 2 is 180.
260 minus 180 is 80. 80 divided by 20 is 4.
4 plus 3 is 7

i need help with this

Answers

a) The details of this long division is shown in the image attached.

b) This division can not work as the result is zero.

c) 5/6 is a rational number. This is because the quotient is a terminating decimal.

Long division is a technique for dividing two numbers that involves working through the remainder and quotient step-by-step. When dividing a larger number (dividend) by a smaller number (divisor) that is difficult to divide in one step, it is usually utilized.

Until there are no more dividend digits, the procedure entails dividing the dividend by the divisor several times, multiplying the divisor by the quotient gained in each step, removing the product from the partial remainder, and bringing down the next dividend digit.

(24-18)×(32÷4)

please help me with this

Answers

(24 - 18) = 6
(32/4) = 8

6 x 8 = 48

48 is your answer

first do the parethensis, and then multiply

follow PEMDAS

hope this helps
(24-18)×(32÷4)
(6)×(8)
6×8
48

tasha fnished a job in 3/4 hour. megan finished it in 4/5 of the time tasha took. how long did megan take to finish the job?

Answers

so if it was three four hours and he took four five of the time it will be all day for take away for 0/0
3/4 of an hr = 45 min
4/5 of 45 min = 36 min

Megan took 36 min to finish the job

What is the simplified form of –9m–2n5 × 2m–3n–6?

Answers

Your answer would be -18m-6n-30

Answer:

-18m-6n-30

Step-by-step explanation:

Trust me :)

How do you find the perimeter of a polygon

Answers

Simply add the length of the sides together.
The answer is A because 7 + 24 + 25 = 56 (cm)

Gus is making a Chilli recipe that calls 3 parts beans to five parts ground beef .if he is using 8 cups of ground beef for a big family dinner, how many cups of beans will gus need?

Answers

First you need to find the percent equivalent to that of the ratio. The ratio is 3:5. From there you would take the 3, and divide it by 5. 3/5=0.6. Apply that to the information that you are given: 8(0.6)=4.8.

Convert 0.18888888 to a fraction

Answers

If it's converted to a fraction it becomes 2361111/12500000

That's the fraction in simplified form.
                          2361111 
0.18888888=   -------------
                        12500000

The graph of g(x) is a transformation of the graph of f(x)=3x .

Graph of an exponential function labeled g of x. The horizontal axis ranges from negative 5 to 5 in increments of 1. The vertical axis ranges from negative 5 to 5 in increments of 1. The graph passes through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 3 comma 2 end ordered pair. These points are labeled. The graph approaches the line y equals negative 1 to the left on the graph.

Enter the equation for g(x) in the box.
g(x) =

Answers

When a graph is transformed, it could be translated, reflected, dilated, or rotated. However, no matter what kind of transformation that is, it does not change the nature of the graph. A line would still be a line; a curve would still be a curve. So, that is my basis for my solution. There is no need to graph the problem. You only need to find the equation of g(x) through the two points given: (2,0) and (3,2)

m = Δy/Δx = (2-0)/(3-2) = 2
Use point (2,0) to find b:
y = mx + b
0 = 2(2) + b
b = -4

So, g(x) = 2x - 4

it the one that go from -10 to 6 then up

Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

Answers

Answer:

In explanation...

Step-by-step explanation:

2y = 4x + 4 and y = -2x - 2 is Neither

4y = 2x - 4 and y = -2x + 9 is Perpendicular

y = 2x + 4 and 2y = 4x - 7 is Parallel

Hope this helps.

This is a different question that I am answering because the question I am talking of said perpendicular, parallel, or neither rather than parallel, perpendicular or neither. Srry.

Becky owes $250 on her credit card. She pays off $120 but then uses the card to purchase $50 worth of art supplies for her students. How much money does Becky have now?

Answers

$180. I hope this helps!

Carlos completed 7 of 10 passes. Th completed 21 of 30 passes. Compare Their pass-completion rates?

Answers

7/10 x 3/3 = 21/30
(you need the same denominator to compare)
21/30

Carlos and Th completed the same amount of passes

hope this helps

Carlos was 7 out of 10 = 7/10= 0.7 = 70%

Th was 21 out of 30 = 21/30 = 0.7 = 70%

 they have the same rate

What is the value of x?

Answers

x/16 = 9 /x
x^2 = 9*16
x^2 = 144
    x = 12
The three right triangles are similar, so the length of corresponding sides are in he same ratio.

9/x = x/16

x^2 = 9 * 16

x^2 = 144

x = 12

Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?

Answers

The correct answer is Line.

the answer is line because a line has no beginning nor end


Help me please To solve the task Mrs. Hilt had $4,000 in her savings account. She earned 10% interest each year. If she left that money in the account for one year, how much will she have in the account at the end of that year?

Answers

Mrs. Hilt will have $4,400 in her savings account at the end of one year after earning 10% interest on her initial $4,000 deposit.

To solve the task of determining how much Mrs. Hilt will have in her savings account after one year, we need to calculate the interest earned and add it to the original amount. Mrs. Hilt has $4,000 in her account, and the annual interest rate is 10%.

The interest Mrs. Hilt will earn in one year is calculated by multiplying the principal amount by the interest rate: $4,000 x 0.10 = $400. Therefore, the total amount in the account after one year, which includes the original principal and the interest earned, is $4,000 + $400 = $4,400.

In summary, Mrs. Hilt will have $4,400 in her savings account at the end of one year, based on a 10% annual interest rate.

Deon plans to ride a 15 mile bicycle trail. If his average speed 20 mile per hour which equation can he use to find the time t in hour for the ride

Answers

Answer:

See below

Step-by-step explanation:

Distance = rate * time

Distance / rate = time

15 / 20 = time = 3/4 hr = 45 min

1. Rename one-eighth as a percent. (1 point) 1.25% 12.5% 125% 1250% 2. Rename .709 as a percent. (1 point) 709% 70.9% 79% 7.09% 3. What percent is equivalent to two-thirds?

Answers

Answers:
_________________
1)   [B]:  "12.5%" .
_________________
2)  [B]:  "70.9%" .
_________________
3)  "66[tex] \frac{2}{3} [/tex]%" ;  or, "66.6666... % " ;  or, round to:  "66.667 %" ;
                     or; round to:  "66.67%" .
_____________________________________
Explanation:
_____________________________________
1)  "Rename one-eight as a percent". 
  
→  [tex] \frac{1}{8}[/tex] = 1 ÷ 8 = 0.125 ;

→ [tex] \frac{x}{100}[/tex] = 0.125 ;  
        
       →  x = 0.125 * 100 = {move the decimal point in the number, "0.125"; two spaces forward, since we are MULTIPLYING, by "100" (which has 2 zeros); 
       →  x = 12 * 100 = 12.5 .

So:  → [tex] \frac{12.5}{100}[/tex] = 12.5 % ;  since "12.5 % = 12.5/100 "
_____________________________________
Other method:
_____________________________________
     → [tex] \frac{x}{100}[/tex] = [tex] \frac{1}{8}[/tex] ; 

               →  x = 100 * [tex] \frac{1}{8}[/tex] ;

               →  x  = [tex] \frac{100}{1}[/tex] * [tex] \frac{1}{8}[/tex] ;

                         =   [tex] \frac{100*1}{1*8} [/tex] ;

                         =   [tex] \frac{100}{8} [/tex] ;

               →   x  =  12.5 ;

               →   [tex] \frac{x}{100} [/tex] = [tex] \frac{12.5}{100} [/tex] = 12.5% ;

                      → 12.5 % =  [tex] \frac{12.5}{100} [/tex] ; 
                                      =  ?

→ {Take the "12.5" & move the decimal backward TWO (2) places, since we              are "dividing" by "100" (which has 2 "zeros") ;
 
                                     = 0.125 = [tex] \frac{125}{100}[/tex] = [tex] \frac{1}{8} [/tex].
_________________________________________________
2)  "Rename "0.709" as a percent."

===>  [tex] \frac{x}{100} [/tex] = 0.709 ;  

    → x = 0.709 * 100 = ? ;

Note:  Take the "0.709" ; & move the decimal place "2 (TWO)" spaces forward, since are MULTIPLYING by "100" (which has 2 zeros); to get:
    → x = 70.9 ;

    → x = 0.709 * 100 = 70.9  ;

→ [tex] \frac{x}{100} [/tex] =  [tex] \frac{70.9}{100} [/tex] = 70.9% ;
                                            → which is:  Answer choice:  [B] .

    →  70.9% = [tex] \frac{70.9}{100} [/tex] = ?  ; 

     {take the "70.9" ; and move the decimal point backwards TWO (2) decimal places; since we are DIVIDING by "100" (which has "2 (two) zeros") ;

    →  70.9% = [tex] \frac{70.9}{100} [/tex] = 0.709 .
__________________________________________________
3)  What percent is equivalent to two-thirds
__________________________________________________
    →  [tex] \frac{x}{100} [/tex] = [tex] \frac{2}{3} [/tex] ; 

x = [tex] \frac{2}{3} [/tex]*100 ;

    = [tex] \frac{2}{3} [/tex]*[tex] \frac{100}{1} [/tex] ;

    = [tex] \frac{2*100}{3*1} [/tex] ;

    = [tex] \frac{200}{3} [/tex] ;

    = 66[tex] \frac{2}{3} [/tex] ;

→  { 66[tex] \frac{2}{3} [/tex] } / 100 = 66 [tex] \frac{2}{3} [/tex] % ;  
                                                 or, write as:  66.666666....% ; or, round to:
                                                                      66.67% 
                               {since: " [tex] \frac{2}{3} [/tex] " = 2 ÷ 3 = 0.66666..." .
______________________________________________

One-eighth, when converted to a percent, is 12.5%. The decimal 0.709 is equivalent to 70.9% when converted to a percent. Two-thirds is roughly equivalent to 66.7% after conversion and rounding.

Converting Fractions and Decimals to Percents

To convert a fraction to a percent, you can either first convert it to a decimal or multiply the fraction straightaway by 100. For one-eighth, we multiply 1/8 by 100 to get 12.5%. So one-eighth as a percent is 12.5%.

To rename 0.709 as a percent, you move the decimal point two places to the right or multiply by 100, which gives us 70.9%. Therefore, 0.709 as a percent is 70.9%.

Lastly, two-thirds is equivalent to the decimal 0.666... (repeating). To turn this into a percent, we again multiply by 100, yielding approximately 66.7%, after rounding.

How do I solve this math Distribute and Combine Like Terms Maze -4(3-5x)-4x

Answers

Distribut the -4 first:
-12+20x-4x
Combine like terms:
-12+16x
and you are done
-4 times 3 and -4 times -5x will give you -12+20x which leaves you with -12+20x-4. You have to subtract the alike terms which is -12 and 4 so -12-4=-16 which means the final answer is 20x-16

What is the value of t in the equation t+12=30 ?

Answers

Hello,
lol answer is 18
hope this helped
Simplifying X + 12 = 30
 Reorder the terms: 12 + X = 30
 Solving 12 + X = 30
 Solving for variable 'X'.
 Move all terms containing X to the left, all other terms to the right.
 Add '-12' to each side of the equation. 12 + -12 + X = 30 + -12
 Combine like terms: 12 + -12 = 0 0 + X = 30 + -12 X = 30 + -12
 Combine like terms: 30 + -12 = 18 X = 18
 Simplifying X = 18

Find three numbers between -0.55 and -0.54

Answers

-0.545 , -0.541 , -0.548

Like terms that have the same ____,with each variable raised to the same exponent.

A. Operation(s)
B. Variable(s)
C. Expression(s)
D. Exponent(s)

Answers

Like terms have the same variables with each variable raised to the same exponent
varaiables and this asnwer is correct

charles leaves the marina and sails his boat 10° west of north for 1.5h at 18km/h. he then makes a right turn to a heading of 60° east of north and sails for 1 2h at 20km/h a) at the end of time how far is charles from his starting point to his nearest km

Answers

Final answer:

The total distance from Charles' starting point at the marina to his destination is calculated by adding the vectors representing each leg of his journey and using the Pythagorean theorem to find the length of the resultant vector. This comes out to be approximately 40 km.

Explanation:

This problem can be solved using vector addition and the Pythagorean theorem. Charles’ first leg of the journey is 10° west of north, therefore we could consider it as a vector directed north-west. Charles travels 1.5h at 18 km/h, therefore the lenght of this vector is 27km. Charles’ second leg of the voyage heads 60° east of north, that could be considered as a vector heading north-east. He sails for 1.5h at 20 km/h resulting in a vector of 30 km.

Now, if we place these two vector head to tail keeping their direction intact, we form a right triangle. Using Pythagorean theorem, the hypotenuse of the triangle will give us the distance from initial to final point. Therefore, the formula becomes √(27² + 30²) = √(729 + 900) = √1629 ≈ 40.36 km which is approximately 40 km to the nearest kilometer.

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Rule: start at 17.3 add 0.9 please help

Answers

17.3, 18.2, 19.1, 20

Write the equation in slope-intercept form:

x - y = 4

Question 8 options:

a) y = -4x
b) y = x - 4
c) y = 4x
d) y = x/4

Answers

x-y=4 written in slope intercept form would be B. y=x-4

Drag and drop numbers into the boxes so that the paired values are in a proportional relationship.

Answers

If x is 2 and y is 1, this means that if y is 3, x must be 6.

The answer is 6
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