Solve the following word problem using two variables. Show each step of your work.

John is five years older than Maya. The sum of their ages is 27. Find both ages.

Answers

Answer 1

Answer:

John is 16 and Maya is 11

Step-by-step explanation:

x=Maya's age

x+5=John's age

x+x+5=27

2x+5=27

     -5   -5

2x=22

/2    /2

x=11

x+5=

11+5= 16


Related Questions

For the equation, decide if it is always true or never true.

2(x + 3) = 5x + 6 − 3x

Answers

Answer:

always true

Step-by-step explanation:

Given

2(x + 3) = 5x + 6 - 3x ← distribute left side

2x + 6 = 2x + 6

Since both sides are equal then any real value of x is a solution.

Thus the equation is always true

Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.

Answers

Answer:

Child ticket = $7, adult ticket = $12

Step-by-step explanation:

3 child tickets and 4 adult tickets for $69:

3x + 4y = 69

3 adult tickets for $36:

3y = 36

Graph is attached

As per graph, x = 7, y = 12

Child ticket = $7, adult ticket = $12

Convert 0.838383 into a fraction

Answers

Answer:

8jdhdhdhdhfbdudhdhdhd

how do yo do this question I have to
Solve the System by Substitution:

y = x-2
x + y = 4

Answers

Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

Answer:

x = 3, y = 1

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  3 , 1 )

Hoped this helped :}

Solve: 68 – x = 14
( please i really need these super fast thank you! )

Answers

Answer:

x =54

Step-by-step explanation:

68 - x = 14

find the difference of 68 and 14 to get X

68 - 14 = 54

X=54

(Sorry if it is incorrect or doesn’t make sense!)

the answer is x=54 .

Find a pair of integers with a product of -84 and a sum of 5.

Answers

Answer:

12 x -7 = -84 12 + (-7) = 5

Step-by-step explanation:

HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

The answer is C

Step-by-step explanation:

If abc=dec, b=5x and e = 45
What is x?

Answers

Answer:

9

Step-by-step explanation:

5(9)=45

Answer:

Step-by-step explanation:

a5xc=d45c

according to this equality,

x=5

please answer ASAP i will marks brainliest!!!!

A standard high school track is 1/4 of a mile. One student is jogging and another student is
riding his bicycle around the track. The jogger is averaging 1 mile ran every 12 minutes, and the
biker is averaging 1 mile biked every 4 minutes. If both individuals plan to exercise for exactly
1.5 hours. How many more laps would the biker make around the track than the jogger?

Answers

Answer:

15

Step-by-step explanation:

PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER

Answers

Answer:

It is the second choice.

Step-by-step explanation:

Divide both side by pi r squared. Boom.

Answer:

h = V/πr²

Step-by-step explanation:

Its asking you to isolate h. You can simply divide on the right besides h on both sides.

V = πr²h

V/πr² = h

How do you write mixed numbers as percents?

Answers

convert the fraction part of the mixed number to a decimal,Divide the numerator by the denominator.

13 = -2 ( y - 4 ) + 3y

Answers

Answer:

Y= 5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

13= -2y+8+3y

13= y +8

-8       -8

5= y or y=5

I hope this helps!!

Two cars leave the same parking lot, with one heading north and the other heading east.
After several minutes, the eastbound car has traveled 3 kilometers. If the two cars are now a
straight-line distance of 6 kilometers apart, how far has the northbound car traveled? If
necessary, round to the nearest tenth.

Answers

Answer:

wouldn't it be 3 kilometers because 3 this way plus 3 that way = 6 away from each other?

48 pens are packaged in 4 boxes.
how many pens are packaged in 9 boxes?​

Answers

Answer:

108 pens

Step-by-step explanation:

Answer:108. 48 divided by 4 = 12x9=108

The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?

Answers

Answer:

0.4016%

Step-by-step explanation:

Estimated Value = 3,500 people ,  Exact attendance = 3486 people

We can see that there is a Percentage decrease . So we will apply the formula.

%Decrease = Old Value - New Value /Old Value × 100%

%decrease = 14/3486 %

%Decrease = 0.4016% (Answer)

There’s a drawing and I don’t know how to explain it on it

Please look at the snapshot and only answer if you are good at math.

Answers

Answer:

First, let's divide each term of -7b^5 + 42b^4 and 7b by 7.

(-7b^5 + 42b^4) ÷ 7b

   /7           /7         /7

Next, we use the distributive property to multiply 6b^4 - b5 by b.

b x (6b^4 - b^5)

Answer: 6b^5 - b^6

Mark Brainliest and rate excellent!

can someone helPPPPPPPPPPPPPPPPPP

Answers

i believe it’s option #3. hopefully that helps :)

I need help who can help me with this ?

Answers

Answer:

15

205

45

Step-by-step explanation:

all arc measures are equivalent to the corresponding angle within the circle

10) 15

11) subtract all other angles from 360 to find missing angle

360= 15+95+45+x

360=155+x

205=x

12) 45

If u are selling 5 cans of soup for $12.75 how much is each of them

Answers

Answer:

63.75

Step-by-step explanation:

12.75 times 5

Can someone please help me now. I'll pay extra points fr. This my last time please

Answers

Answer:

[tex]y = \frac{1}{2}x - 3[/tex]

Step-by-step explanation:

The y-intercept is -3

You can determine the slope by using rise over run, which is 1/2.

Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

$15 1/10

Step-by-step explanation:

Given that :

Total amount to spend = $30

Amount spent on Gift A = $9 1/4

Amount spent on Gift B = $5 4/5

Amount left to spend on gift C ;

$30 - (9 1/4 + 5 4/5)

$30 - (37/4 + 29/5)

$30 - (185 + 116)/20

$30 - 298/20

30/1 - 298/20

$(600 - 298) / 20

$302/20

$15 2/20

= $15 1/10

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

A.
25°
B.
34°
C.
97°
D.
126°

Answers

Answer:

H=97 degrees or choice "C"

Step-by-step explanation:

Assuming this is a triangle:

All triangles contain 180 degrees, so:

180=E+G+H, or H=180-E-G

H=180-54-29

H=97

H=97 degrees or choice "C"


Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.

Answers

Answer:

D

Step-by-step explanation:

This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)

So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer

A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

What is an exponent?

Consider the function:

y = a (1 ± r)ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:

f(x) = 197(1.25)ˣ

If the growth of the weed is shown by each day will be given as,

r = 0.25 / 7

r = 0.03

Then the function is given as,

f(x) = 197(1.03)⁷ˣ

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.

Answers

Answer:

22

Step-by-step explanation:

Let the number of sides ne n

Sum of interior angles:

180(n - 2)

Sum of exterior angles:

360

We have equation below to solve for n:

180(n - 2) = 10*360n - 2 = 20n = 22

The senior classes at High School A and High School B planned separate trips to New York City.
The senior dass at High School A rented and filled 14 vans and 6 buses with 264 students. High
School B rented and filled 7 vans and 5 buses with 178 students. Every van had the same
number of students in it as did the buses. How many students rode in each van?

Answers

Answer:

9 kids

Step-by-step explanation:

add 7 to 5, then divide b by the result

Answers

Answer:

you didnt say what b was but itd be 12/b

Step-by-step explanation:

Answer:

b/12

Step-by-step explanation:

whats b?

7 + 5 = 12

so whatever b is, divide that by 12

b/12

A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?

Answers

Answer:

D

Step-by-step explanation:

First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer

The point that represents a viable solution is D(4, 3).

What are systems of inequalities?

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

The graph shows the system of inequalities:

x + y ≤ 14

x ≥ 3

y ≥ 0

where x is the weight of the apples and y is the weight of the oranges.

We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.

Let's check each option:

A(2, 9):

2 + 9 ≤ 14 (satisfied)

2 < 3 (not satisfied)

9 ≥ 0 (satisfied)

A(2, 9) does not satisfy the second inequality, so it is not a viable solution.

B(3, -2):

3 + (-2) ≤ 14 (satisfied)

3 ≥ 3 (satisfied)

-2 ≥ 0 (not satisfied)

B(3, -2) does not satisfy the third inequality, so it is not a viable solution.

C(1, 14):

1 + 14 ≤ 14 (not satisfied)

1 ≥ 3 (not satisfied)

14 ≥ 0 (satisfied)

C(1, 14) does not satisfy the first inequality, so it is not a viable solution.

D(4, 3):

4 + 3 ≤ 14 (satisfied)

4 ≥ 3 (satisfied)

3 ≥ 0 (satisfied)

D(4, 3) satisfies all three inequalities, so it represents a viable solution.

Therefore, the point that represents a viable solution is D(4, 3).

To learn more about the systems of inequalities;

https://brainly.com/question/19526736

#SPJ7

I don't understand the way they've arranged the statement...

Answers

can’t see the picture

sina×tga=1/2, cosa=?​

Answers

Answer:

cos a = -1.28 and 0.78

Step-by-step explanation:

The question is not properly written. This is the correct question:

If sina×tan(a) = 1/2, find cosa

According to trigonometry identity;

tan a = sina/cosa

sina×tan(a) = sin a * sina/cosa

sin²a/cos a = 1/2

(1-cos²a)/cosa = 1/2

Cross multiply

2(1-cos²a) = cos a

2 - 2 cos²a = cos a

2cos²a + cos a - 2 = 0

Let P = cos a

2P² + P -2 = 0

P = -1 ±√1-4(2(2)/2(2)

P =  -1 ±√1+16/4

P = -1 ±√17/4

P = -1±4.12/4

P = -1-4.12/4 and -1+4.12/4

P = -5.12/4 and 3.12/4

P = -1.28 and 0.78

Since P = cos a

Hence cos a = -1.28 and 0.78

In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)

Answers

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points

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