Mathematics College

Anita is years older than Basilio. Three times Anita's age added to six times Basilio's age is 36. 1. Define the variables 2. Create a system of equations. 3. Find the age of each person I​

Answers

Answer 1

Answer :Anita's age = 7 years

Basilio's age = 2.5 years

Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

 

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

 

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

 

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

13.5 + 3B + 6B = 36

13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

B = 22.5/9 = 2.5

 

Step 4. Find the value of A

A = 4.5 + 2.5 = 7

 

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

Related Questions

What is the point-slope form of a line with slope-5 that contains the point
(2, -1)?

Answers

Answer:

point slope form

y-y1=m(x-x1) where

m=slope and you are given a point (x1,y1)

slope=-5

point is (2,-1)

x1=2

y1=-1

m=-5

so

y-(-1)=-5(x-2)

y+1=-5(x-2) is answer

What quadrant does Cos A < 0, Tan A < 0

Answers

Answer:

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Step-by-step explanation:

In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.

In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive

In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.

In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.

In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.

Thus, comparing all above with the question, we can say that;

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

what is 78.57 rounded to the nearest hundredth?

Answers

Answer:

79 would be rounded to the nearest hundredth

Answer:

78.57

Step-by-step explanation:

The number in the hundredths place is 7. 78.570

So then you look to the number to the right which is zero so you round down to 78.57

So, the answer is the same.

78.57

Hope this helps!

A computer monitor screen is measured by the length of a diagonal. a 19-inch monitor screen is about 12 inches high. about how wide is the screen to the nearest inch?

***help pls***will mark brainliest***

Answers

So, what you’re doing here is basically finding the measurements of a right triangle, so we’ll use the formula

a^2+b^2=c^2

now, we plug in what we have

12^2+x^2= 19^2
144+x^2= 361

Bring the variable to one side by subtracting 144 from each side

x^2= 217

Square root each side to get rid of the exponent on the x

x= 14.7309

ANSWER:
15 inches

HELPPOOOOOOOOOO!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the correct answer is3 1/2

3 1/2 should be your answer I hope this helps :)

Mr. Martínez asked his students to write a situation
that could describe the relationship between all the
values of x and y in the table.
6 7 8 9
Which situation best describes the relationship
between all the values of x and y in the table?
A. Rachel had six dollars and then started to
save one dollar each week.
B. Beatriz ran one mile the first week and one
mile each week after that.
с James read zero books in six months and
then started to read one book each week.
D. Marion has six times the number of toy trains
that Tony has.
Oa
Ob
Ос
Od

Answers

Answer:

a

Step-by-step explanation:


In y=2x the value of y is 2 more than the value of x, and in y=x+2 the value of y is twice the value of x.
In y=2x and in y=x+2, the value of y is two more than the value of x.
In y=2x and in y=x+2, the value of y is twice the value of x.
in y=2x the value of y is twice the value of x, and in y=x+2 the value of y is 2 more than the value of x.

7,8,10,10,12,15 what is the mean of these numbers?


Marking brainliest

Answers

Answer:

10.3

Step-by-step explanation:

(7 + 8 + 10 + 10 + 12 + 15) / 6 = 10.333

The radius of a circle is 7.9 ft. Find the circumference to the nearest tenth.

Answers

The answer is C=49.64 ft

Answer:

7.9

2 x 3.14 x 7.9 = 49.612 rounded up will be: 49.6 ft

find the midpoint segment with the following endpoints. (2,-9) and (-4,-4)

Answers

Answer:(4, 5) .                                                                    

dkfjsdlkfjsdlkfjsdklfjsdlkfj

3 What is the median of the data shown?
38, 50, 43, 33, 35, 30, 64, 43, 41
А 34
B 35
С 41
D 43

Answers

It is c

Plz mark brainliest I just took a test with this!

plz help me with thiss

Answers

Answer:

subject?

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Refer to attached

When plotted the points and connected, it is clear that from the shape of the lines that  f(x) is exponential and g(x) is linear function.

Small correction, f(1) should be 1/2, otherwise with repeat values it is not a function.

The intersection of the graphs is also given, with added section of function f(x), it is clear the added point is (-3, 8) and connected with red line segment. Approximate coordinates are indicated (-2.54, 6.15)

(10000*C)/1.05+(10000*C)/1.05^2…..(10000*C)/1.05^13=100
Find C?

Answers

9514 1404 393

Answer:

  C ≈ 0.00106455765168

Step-by-step explanation:

This is the sum of 13 terms of the geometric series that has 10000C/1.05 as the first term and a common ratio of 1/1.05. The sum S is given by ...

  S = a1(1 -r^n)/(1 -r) . . . . a1 is the first term, r is the common ratio

Using the known values, we have ...

  100 = (10000C/1.05)(1 -1.05^-13)/(1 -1/1.05))

  0.01 = C(1 -1.05^-13)/0.05

  C = 0.0005/(1 -1.05^-13) ≈ 0.0005/0.469679

  C ≈ 0.00106455765168

Answer:

C ≈ 0.00106455765168

Step-by-step explanation:

100 = (10000C/1.05)(1 -1.05^-13)/(1 -1/1.05))

 0.01 = C(1 -1.05^-13)/0.05

 C = 0.0005/(1 -1.05^-13) ≈ 0.0005/0.469679

 C ≈ 0.00106455765168

an ___ is a statement of equality of two algebraic expressions involving one or more unknown quantities​

Answers

Answer:

Equation

Step-by-step explanation:

an equation is a statement of equality of two algebraic expressions involving one or more unknown quantities.

Anybody good at math 8th grade homework

Answers

Answer:

Step-by-step explanation:

I could help you

but I need you help two just in two questions just post them pls answer them and i will help u

What is the probability that a customer ordered a hot drink given that he or she ordered a large?

Answers

i really don’t understand this question. can you explain this in the comment so i can answer your

Help pls I’ll give extra poinys

Answers

Answer:

Step-by-step explanation:

8x – 9y = –61
x +9y = 43
what is the y coordinate?

Answers

Answer:

The answer is y=5

Step-by-step explanation:

9x=-18

x=-2

-2+9y=43

9y=45

y=5

help me ASAP
Helppppppppppppppppp

Answers

Answer:

(2,4)

Step-by-step explanation:

I painfully counted every square to find that a 1 by 1 square is divided into an 8 by 8 square.

K is one square above 1/2, for the second coordinate is 4.

K is also 2 to the left of 0, so the first coordinate is 2.

Therefore, the coordinates of K are (2,4).

Which is the rate of change for the interval between 2 and 6 on the x-axis?

Answers

I believe your answer is 3, but im not sure honestly. Hope this helps sorry.

2) Which expressions are equal to 6^4?
A. 10
B. 216
C. 24
D. 6*6*6*6
E. 25
F. 62*62

Answers

Answer:

Step-by-step explanation:

D

PLEASE ANSWER AS SOON AS YOU SEE THIS

On cold days Leah likes to make hot chocolate she uses 8 tablespoons of cocoa and 2 tablespoons of sugar

Answers

Answer:

4

Step-by-step explanation:

Divide 8 by 2 and you get 4.

Plz help me well mark brainliest if you are correct!

Answers

Answer:

Hello! answer: B

Step-by-step explanation:

B marks -1.5 on the number line. HOPE THAT HELPS!

pls help
no links
10 pts

Answers

Answer:

98 cm^2

Step-by-step explanation:

7 x 14 =98

Write the slope-intercept form of the equation of the line.

Answers

y = 1x + 2ory = x + 21x is the slope and +2 is the y-intercept

Please help if u can no links or I’ll report u !

Answers

Your answer would be 5

A box is to be wrapped in a shiny red decorative paper.The box is 9 inches long,5 inches wide,and 4 inches high.How much wrapping paper would be needed to completely wrap this box?

Answers

Answer:

Draw a figure!

There are 6 surfaces to add.

4 of them have area 9*5 and 2 have area 5*4.

You should be able now to compute the surface areas.

Step-by-step explanation:

Gabe walks from his house to the library then to the gymnasium what is the total distance he walked

Answers

Answer:

4.6 and 10.3

Step-by-step explanation:

What does the series represent to the bike owner answer all plz :)

Answers

Answer:

lol or i could just answer it on here

Step-by-step explanation:

Select whether the triangle
is inscribed in the circle, circumscribed about the
circle, or neither.
B
• inscribed in the circle
© circumscribed about the circle
• neither

Answers

Answer:

it is inscribed in the circle.

Step-by-step explanation:

Quadrilateral ABCD is inscribed. The measure of ZA = 67º. What is the measure of ZC?

Answers

Answer:

m<C = 113°

Step-by-step explanation:

m<A = 67° (given)

Recall: opposite angles in any inscribed quadrilateral in a circle are equal to 180° or are supplements of one another.

This implies that:

m<A + m<C = 180°

Substitute

67° + m<C = 180°

Subtract 67° from each side

m<C = 180° - 67°

m<C = 113°

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