The sum of the ages of John and Mary is 32. Four years ago, John was twice

as old as Mary. Find the present age of each. Please use algebraic equations.

Answers

Answer 1

john: 56

Mary: 24

(Tbh I'm probably really wrong, I'm so sorry )

Answer 2

Answer: john is 20 and mary is 12

Step-by-step explanation:

J + M = 32

J - 4 = 2(M-4)

solve


Related Questions

solve the system of equations 8x+2y=6
y= -4x+3​

Answers

0,3 is the answer to this

helppp? if possible

Answers

Answer:

x=9

Step-by-step explanation:

8x-14=2(2x+11)

8x-14=4x+22

4x=36

x=9

The answer is x=9 hope this helps

1/5 - 3/4
im giving 95 points for this so plz give me right answer

Answers

Make them equal denominator
1/5 = 4/20
-3/4 = -15/20
4/20 - 15/20 = -11/20
The answer is -11/20


need help pls help :(

Answers

Answer:

Neither

Step-by-step explanation:

function A is  non linear

show any calculations, including 180 degrees, go step by step pls.​

Answers

Answer:

120°, 120°, 60°, 60°

Step-by-step explanation:

m∠1 = 180° - 60° = 120°

m∠1 = m ∠2 (alternate interior)

m∠3 = 60° (vertical to given angle)

m∠4 = m∠3 (alternate exterior)

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)

Answers

Answer:

A: 6 + 2(x + 4) = 1/2(3 - x)

Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms

Answers

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: [tex]a_n=a_1r^{n-1}[/tex]

We have a₁=26 and r = 0.5 n=10

[tex]a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051[/tex]

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48[/tex]

So, sum of first 18 terms of given sequence is 51.48

Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an inequality that describes how many hours she must work to buy the instrument.

Answers

Answer: 7.60x ≥ 500, where x represents the numbers of hours worked.

Step-by-step explanation:

which equation represents the relationship between x values and y values in the table
y=4x+6

y=2x+4

y=x+4

2x+12
x y
0 4
2 16
4 28
6 40
10 64

Answers

It would be y=2x+4 because if you plug in the values for x you output the y

The Quotient of 5 times a number and 7 is no more than 10.

Answers

The equation would be:
5x/7 is less than or equal to 10

What is the ratio 15 to 35 written as a fraction in lowest terms? 13 37 35 57

Answers

Answer:

Step-by-step explanation:

15:35 should be 3/7

Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?

Answers

Answer:

6

Step-by-step explanation:

because you divided the amount of mile by the amount of time it took to get your answer

6 is your answer because six times six is 36

a positive number multiplied by a negative number equal a positive number. True or False​

Answers

Answer: False

Step-by-step explanation:

Example 3 times -3= -9

Answer: False

Step-by-step explanation:

Positive * Positive = Positive

Negative * Positive = Negative

Negative * Negative = Positive

What would this be ?

Answers

Answer:

-8,1 mabey I don't really know

Which of the following situations can be modeled with a periodic function?

Answers

Answer:

the height of a pebble stuck in the tread of a tire

Step-by-step explanation:

hope it helps. make the brainliest

Answer:

the height of a flag on one blade of a windmill, the height of a ball suspended from a spring

Step-by-step explanation:

edge2020


I need help please )):

Answers

Here you go!!! I hope this helps!! Mark as brainliest!!!

Find the equation of the line that
- is perpendicular to the line y=3x-1
and
-passes through the point (7,4)

Answers

Answer:

y = -1/3x + 19/3

Step-by-step explanation:

let the equation of the line be y = mx + b

since it is perpendicular to y = 3x - 1, these two lines's gradient when producted gives -1.

hence, 3 x m = -1

m = -1/3

sub m = -1/3 and (7, 4):

4 = -1/3(7) + b

b = 19/3

therefore, equation of the line is y = -1/3x + 19/3

Topic: coordinate geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Calculate surface area of a sphere with a radius of 13.

Answers

Answer:

2123.72

Step-by-step explanation:

A=4πr2=4·π·132≈2123.71663

Answer:

2120 (rounded off to 3 s.f.)

Formula:

Surface area of sphere = 4×pi×r²

Step-by-step explanation:

Apply the formula with the radius as 13:

4×pi×13² = 4×pi×169

              = 676pi

              = 2120 (rounded off to 3 s.f.)

which is incorrect rounding for 53.864?
Please help me!

Answers

Answer:

52

Step-by-step explanation: This would be incorrect because 53.864 must round up.

idk how to do this! Pls help me! I need to hurry!

Answers

I did know of the understanding of math high school?

Answer:

Step-by-step explanation:

HELP PLZ GUYS I BEG YOU 15 PTS ITS EASYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jennifer received many pieces of candy for Halloween. She decided to limit herself to only eating 4 pieces every day. On the 14th day after this decision, she had 67 pieces of candy left.

1) Write a linear equation in point-slope form based on the situation above.

2) Define each of your variables based on your equation above.

3) Determine how many pieces of candy Jennifer received on Halloween.

Answers

Answer:

1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)

2) The variables are;

a) The number of candies available = y

b) The number of days Jennifer eats the candies =

c) The slope, m = -4

3) Jennifer received 123 pieces of candies on Halloween

Step-by-step explanation:

The given parameters are;

The number of candies Jennifer eats everyday = 4 pieces

The number of days for which Jennifer eats the daily 4 candies = 14

The number of candies left at the end of the 14th day = 67 candies

1) We note that the rate of decrease in the number of candies = 4 candies/day

Therefore, the slope of the linear equation is m = -4

The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies

The linear equation in point and slope form is given as follows;

y - 67 = -4 × (x - 14)

2) The variables are;

a) The y-value represents the number of candies available on a specific day

b) The x value represents the number of days Jennifer eats the candies'

c) The slope = The rate of decrease in the number of candies per day = -4

3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;

y - 67 = -4 × (x - 14)

y - 67 = -4·x + 56

y = -4·x + 56 + 67 = -4·x + 123

y = -4·x + 123

Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;

The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.

What is the value of 6(g+2)h when g = 6 and h = 4?

Answers

Answer:

6(6+2)4

6×8×4 = 192

Answer is 192

Answer:

12

Step-by-step explanation:

6(g+2)h=6(6+2)4=6(8)4=484=12

Let f (x) = 8x^2 + 4 and g(x) = -x^2+ 12x + 10. Which statements below are true for f (x) · g(x)? Select all that apply.
The constant term is 40.
The leading term is 8x^4.
The x term has a coefficient of 12.
The x^2 term has a coefficient of -76.
The x^3 term has a coefficient of 96.
The resulting polynomial has degree 4.

Answers

LCM: 16r⁴+36r²s²+81s⁴,8r³–27s³,8r²–22rs+15s²

Write the product(2+7i)(2-7i) in the form a+bi

Answers

Answer:

53

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

(2 + 7i)(2 - 7i)

(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)

4 + -14i + 14i + [tex]-49i^{2}[/tex]

4 + [tex]-49i^{2}[/tex]                     ([tex]i^{2}[/tex] = -1)

4 + (-49 * -1)

4 + 49

53.

53 is the result.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.

What is an imaginary number?

An imaginary number is denoted by i.

The value of i is √-1.

i² = √-1² = -1

We have,

(2 + 7i) (2 - 7i)

We need to write in the form of a + bi.

a + bi

a = real number

b = imaginary part

(2 + 7i) (2 - 7i)

Remove the brackets.

= 2 x (2 - 7i) + 7i x (2 - 7i)

=  4 - 14i + 14i - 49i²

= 4 - 14i + 14i - 49 x -1

= 4 - 14i + 14i + 49

= 4 + 49

= 53

We have only the real part.

So,

The product of (2 + 7i) (2 - 7i) is 53 + 0i.

Thus,

The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

#SPJ5

Which of the following represents a "rule of thumb" for how much
student loan debt you should be willing to incur to pay for college?

Answers

Answer:

Rule of thumb is;

Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.

Step-by-step explanation:

When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:

Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.

This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.

(4x + 13x2 +27x+6) = (4x + 1)

Answers

Answer:

x=-5/53

Step-by-step explanation:

1. Add similar elements: 4x+27x=31x

2. Multiply 13 times 2 to get 26

3. Once again add the similar elements: 31x+26x=57x

4.  Expand!!: Originally (4x+1) take away the Parentheses!!

5. 57x+6=4x+1

6. Subtract 6 from both sides: 57x+6-6=4x+1-6

7.  Simplify: 57x=4x-5

8. Subtract 4x from both sides: 57x-4x=4x-5-4x

9. Simplify: 53x=-5

10. Divide both sides by 53: 53x/53= -5/53

11. x= -5/53

2. How can the trend line equation be used to

predict the cost of gas per gallon in the year

1992?

a. Substitute 92 for x in the equation.

b. Substitute 92 for y in the equation.

c. Substitute 22 for x in the equation.

d. Substitute 22 for y in the equation.

Answers

Answer:

c. Substitute 22 for x in the equation.

Step-by-step explanation:

The scatter plot of this question is missing, so i have attached it.

The slope equation of this is written as;

y = mx + b

Where;

y is the values in the y-axis

x is the values in the x-axis

b is the intercept on the x-axis

Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.

Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.

Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.

Answer:

C

Step-by-step explanation:

I know

True or false density is mass overv weight

Answers

Answer:

true

Step-by-step explanation:

lel I do not process

False

Density is mass divided by volume which is different than weight

what is Carol’s total hours worked? And what is Carol’s total gross income

Answers

Answer:

1.230 hours

2.$4,045

Step-by-step explanation:

1.40+40+40+40=160 for full time job

20+10+15+25=70for part time job

add =230 hours

2.160*18.15=2,960 for full time job

70*15.5=1,085 for part time job

add = $4,045

The hours he worked would be 230 hours
And the total gross income would be 4,045

The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many students are boys?

Answers

Answer: 20 boys

Step-by-step explanation:

4+3 = 7 total parts

let x be one part

7x=35

x=5

4x=20

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