Juan noticed that if he takes the opposite of his age and
adds 40, he gets the number 28: How old is Juan? Write
an equation and solve. Use a for his age.

Answers

Answer 1

Answer:

-a + 40 = 28, a = 12

Step-by-step explanation:

If he takes the opposite of his age, that means the current number is negative. We can get -a + 40 = 28, we can then simplify by subtracting both sides by 40 and getting -a = -12 which is equal to a = 12


Related Questions

Tavon has a gift card of $90 that loses $2 for each 30-day period not used. He has another gift card for $70 that loses $1.50 for each 30-day period not used. What will the value of each card be when they have equal value?

Answers

Answer:

$10

Step-by-step explanation:

Let the number of 30 day periods be x.

[tex]90-2x=70-1.5x \\ \\ 20=0.5x \\ \\ x=40[/tex]

When x=40, the value is 90-2(40)=$10.

The value of each card will be $ 10 after 40 periods, where the value of the first and second cards are equal.

Given data:

Let x represent the number of 30-day periods that have passed since the gift cards were obtained.

For the first gift card with $90 initial value and losing $2 for each 30-day period:

Value of the first card = Initial value - Loss per period * Number of periods

Value of the first card = $90 - $2 * x

For the second gift card with $70 initial value and losing $1.50 for each 30-day period:

Value of the second card = Initial value - Loss per period * Number of periods

Value of the second card = $70 - $1.50 * x

Now, to find when the two cards have equal value x:

Value of the first card = Value of the second card

$90 - $2 * x = $70 - $1.50 * x

On simplifying the equation:

$90 - $70 = $2 * x - $1.50 * x

$20 = $0.50 * x

x = $20 / $0.50

x = 40

After 40 periods of 30 days each, the two cards will have equal value.

Now, determine the value of each card at this point:

Value of the first card = $90 - $2 * 40 = $90 - $80 = $10

Value of the second card = $70 - $1.50 * 40 = $70 - $60 = $10

Hence, both cards will have a value of $10 when they have equal value after 40 periods.

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Simplify:
5x2 – x + 9 = [?]
x=3
Enter

Answers

Answer:

The answer is 51

Step-by-step explanation:

What you need to do here is assign a value of 3 to x, and output the value.  Let's see what we get:

[tex]5x^2 - x + 9\\5(3)^2 - (3) + 9\\5 * 9 + 6\\45 + 6\\51[/tex]

f(x) = 3x + 3; Find f(1)

Answers

Answer:

f(1) = 6

Step-by-step explanation:

You just substitute 1 for x, 3+3 = 6

Answer:

f(1)=3(1)+3 = 6

answer is 6

Step-by-step explanation:

What is the measure of angle E?
10 points
B
130°
С
E
F
G
H

Answers

Answer:

E

Step-by-step explanation:

Its because of Corresponding angles.

Two numbers have these properties.
Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...​

Answers

Answer:

16 and 40

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

xy = HCF(x,y) × LCM(x,y)

Since LCM(x,y) = 80 we have:

8×80 = xy8×80 = 8n×8m10 = nm

Possible option:

n = 2, m = 5

Then the numbers are:

x = 2*8= 16y = 5*8 = 40

Guys I need help : How do we find square of any number Ex.121.... for grade 5 and 6 ez method plis

Answers

Answer:

[tex]hey \: its \: easy[/tex]

(1) Square of 5 = 5 × 5 = 25

(2) Square of 10 = 10 × 10 = 100

(3) Square of 16 = 16 × 16 = 256

(4) Square of 25 = 25 × 25 = 625

(5) Square of 110 = 110 × 110 = 12100

like this you can also find it

hope it helps

pls mark as brainliest

Answer:

Step-by-step explanation:

You have to figure out what has to multiply by itself to get to that number.

So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (:

HELPPPPP MEEEEEEE PLSSSS
Math assignment

Answers

Answer:

$16 for lunch

$4 for coffee

$12 left

Step-by-step explanation:

32/2 = 16

16 * 1/4 = 4

32 - (16 +4) = 12

Hey guys!
Does anyone know how to solve this?
c(1)=3, c(n)= −c(n−1)+1 for n≥2
I'll give you 25 pts!

Answers

The value of c from the given expression is -

Function and values

Given the following function

c(n)= −c(n−1)+1

Given the following parameters

c(1)=3

Substitute

3 = −c(3−1)+1

3 = -2c + 1

-2c = 3-1

-2c = 2

c = -1

Hence the value of c from the given expression is -1

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Find the missing interest rate.
I = $63
P = $420
r = %
t = 3 years

Answers

Answer: r=5%

Step-by-step explanation:

I=Prt

I/P=Prt/P

I/P=rt

I/(P*t)=rt/t

r=I/Pt

r=63/(420*3)

r=21*3/(420*3)

r=21/420

r=1/20

r=0.05

r=0.05 * 100%

r=5%

A triangle has side lengths 4y, 5y and 9y. The longest side of the triangle is 5y. What value of y proves that this triangle is a right triangle?

Answers

Answer:

9y i can be rong

Step-by-step explanation:

Given f(x) = 4x + 1 and g(x) = x2 − 2, which of the following is an expression for f(g(x))?

Answers

The value of the expression of the composite function f(g(x)) = 4x^2 - 3

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the value of the expression?

The given parameters are:

f(x) = 4x + 1

g(x) = x^2 - 1

The composite function is given as

f(g(x)

The above composite function is calculated as

f(x) = 4x + 1

Substitute x for g(x) in the above function

So, the above function becomes

f(g(x)) = 4g(x) + 1

Substitute x^2 - 1 for g(x) in the above function

So, the above function becomes

f(g(x)) = 4(x^2 - 1) + 1

Evaluate the products in the above equation

So, we have

f(g(x)) = 4x^2 - 4 + 1

Evaluate the sum in the above equation

So, we have

f(g(x)) = 4x^2 - 3

Hence, the value of the composite function f(g(x)) = 4x^2 - 3

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Select the correct answer from the drop-down menu. In the figure, if CD = 15 cm, then BC ≈ ___ cm.
A. 6.6
B. 11
C. 21.6
D. 34.7

Answers

a is the answer to the problem

Write an expression that represents the height of a tree that begins at 2 feet and increases by 4 feet per year. Let y represent the number of years. PLEASE HELP ME

Answers

Answer:
2+4y

Explanation:
The height of the tree increases by 4 feet per year, so we know to multiply 4 by the number of years to find its height. The initial height of the tree is 2, so we add 2 to 4y.

Example: The height of the tree in 6 years
2+4y
2+4*6
=2+24
=26

I hope this helps!

Answer:

2+4y

Step-by-step explanation:

simply 8/-4 dived by -3/9

Answers

Answer:

-6

Step-by-step explanation:

The cost of a television with remote control is $649. This amount is $125 more than the cost without remote control. Find the cost of the television without remote control. Write an equation. Then solve the equation.

Answers

The equation for the cost of the television without remote control is  x = 649 + 125 and its solution is $774.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

Cost of television with remote control = $649

It is also given that this amount is $125 more than the cost without remote control.

Suppose x be the cost of television without remote control.

Thus, x = 649 + 125

⇒ x = 774

Thus, the equation for the cost of the television without remote control is  x = 649 + 125 and its solution is $774.

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9) f(x) = 3-4x – 12
x2 + 3x + 2
y-int:
HA:
Hole:
VA:
x-int:

Answers

Answer:

x=3,2i,-2i

Step-by-step explanation:

Find m. DCR if m. RCB= 115°
and m_ DCB = 169º.

Answers

It is 54. Draw it out. You will see that DCB - RCB = DCR

finding rise and run

Answers

Answer:

Up 6 over 8, 6/8, or .75/100

Step-by-step explanation:

I'm not sure how to explain it but yeah I'm pretty sure this is it

if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum​

Answers

formula p= 100 I/RT

100×1050÷7.5×4

105000÷30

p= sh 3500

for g(x)=1/2x-11, find x when g(x)=-5

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 11

g(x) = -5

Step 2: Solve for x

Substitute:                    -5 = 1/2x - 11Isolate x term:              6 = 1/2xIsolate x:                       12 = xRewrite:                        x = 12

In 5-7 complete sentences, write a real world situation that can be modeled by the equation. 3x = 5x + 10

Answers

hmmmm i don’t think you can

Based on your research, what is your top career choice? Using the eight components from your graphic organizer,

Answers

Answer:

My career choice is anesthesiologist because they have the highest paying job, they have the knowledge to treat the entire human body, and they are qualified to give emergency medicine

Step-by-step explanation:

I hope you are satisfied

need this real fast please

Answers

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m = [tex]\frac{0-2}{3-0}[/tex] = [tex]\frac{-2}{3}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

-2/3

Step-by-step explanation:

The equation for slope is y2-y1 over x2-x1.

Or you can easily do rise over run.

Lets use the point (0,3.) So, we want to calculate slope, but the only other direct point is (0,2) so lets also use that.

If we start at the point (0,2) and go down 2 units, we just have to go over 3 units to get to (0,3) so thats convienient.

The rise is the -2 units, since you go down 2 units to get to the second point. You also have to run 3 units over to get to the second point.

The run is 3, and the rise is -2.

Rise over run

-2 (rise) over 3 (run)

-2/3

-2/3 is the slope.

Hope this helps!

Which measurement describes the following situation:
What is the minimum amount of paper needed to cover a
cylinder?

A.surface area
B.volume
C.circumference
D. perimeter

Answers

Answer:

VOLUME

Step-by-step explanation:

It is not surface area. I put that and it was WRONG!!!

The minimum amount of paper needed to cover a cylinder is its surface area.

What is Surface area of Cylinder?

The surface area of a cylinder can be defined as the amount of space covered by the flat surface of the bases of the cylinder and the curved surface of the cylinder.

Here, we need to cover cylinder by paper

So, paper cover its whole surface area.

Thus, the minimum amount of paper needed to cover a cylinder is its surface area.

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A local band is being paid $250 for performing at a local concert. They also receive $2 for each ticket sold. The chart below shows the bands total pay for the first five tickets sold.

Write an expression that will calculate the band's total pay for x number of tickets sold.
How much money will the band make for selling 100 tickets?
How much money will the band make for selling 150 tickets?
Be sure to show all work PLEASE i need this

Answers

Answer:

Question 1-- $250+$2(100)= 350 dollars

Question 2-- $250+$2(150)= 400 dollars

Step-by-step explanation:

To calculate the band's total pay for x number of tickets sold, we can use the following expression Total pay [tex]= $250 + ($2 * x)[/tex] For example, if the band sells 100 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 100) = $250 + $200 = $450[/tex]

Therefore, the band would make $450 for selling 100 tickets. Similarly, if the band sells 150 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 150) = $250 + $300 = $550[/tex]

Hence, the band would make $[tex]550[/tex]for selling 150 tickets. This expression takes into account the fixed payment of $[tex]250[/tex] for the band's performance and an additional $2 for each ticket sold. By multiplying the number of tickets sold (x) by $2 and adding it to the fixed payment, we can calculate the band's total earnings.

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Molly is throwing a beach party. She still needs to buy beach towels and beach balls. Towels are $3 each and beach balls $4 each. She bought 10 items in total and it cost $34. How many beachballs did she got?

Answers

Answer:

6

Step-by-step explanation:

I need help please,​

Answers

Answer: -7

Step-by-step explanation:

trust me

Answer:

A) -7

Step-by-step explanation:

Simplify the expression.

-4/5 (x-3)= 1/2 (-2x+2)

-4/5 ((-7)-3)= 1/2 (-2(-7)+2)

8=8

Which digit is in the tenths place? 48.92
4
2
9
8

HELP FAST <33​

Answers

Answer:

9

Step-by-step explanation:

after the decimal point it go's tenths hundredths thousandths and so on

At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00p.m., the temperature dropped by 5°F. What
was the evening temperature?

URGENT PLS!!!!

Answers

Answer:

21F

Step-by-step explanation:

15+6=21

express (x+7)^2 as a trinomial in standard form

Answers

Answer:

x^2 +14x+49

Step-by-step explanation:

The standard form of the polynomial (x+7)² is x² +14x+49.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The polynomial will be represented as,

E =  (x+7)²

E = x² +14x+49.

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