Please solve this equation: 3 + 4 = 21; 2 + 5 = 14; 7 + 7 = 98; 8 + 6 = ?

Answers

Answer 1

Answer:

  112

Step-by-step explanation:

It appears that the relation is f(a, b) = a(a+b).

  f(3, 4) = 3(3+4) = 21

  f(2, 5) = 2(2+5) = 14

  f(7, 7) = 7(7+7) = 98

  f(8, 6) = 8(8+6) = 112

__

The symbol "+" has apparently been repurposed from its usual meaning in math. It is being used as an infix operator with two arguments. We have shown the relation above as a function f with two arguments (a, b). In our definition ...

  f(a, b) = a(a+b)

the symbol "+" has its usual meaning.

_____

Additional comment

This sort of question requires a little bit of "out of the box" thinking. It helps immensely if you're familiar with your addition and multiplication facts. Then you are in a position to recognize how the outputs may be related to the inputs.


Related Questions

leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces

Answers

Step-by-step explanation:

we need to find how much 14/70 is equal to ? over 100

100/70=1.42857142857

14x1.42857142857=20

Therefore she drinks 20/100 she drinks before she goes on a ride.

or 20%

it's 20

I got it right on iready

3/4 in simplest form WILL GIVE BRANLYEST!!!

Answers

Answer:

3/4 is in it's simplest form

Step-by-step explanation:

3/4 cannot be simplified any more, so it is at it's simplest form

please help i will give brainliest

Answers

[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO

Answers

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988


Simplify these expressions
a) x^5 x x^2
b) y^5 x y

Answers

The answer is
X^8
Y^6

Simplify the expression. Explain each step 7(4y)

Answers

Answer: 28 y

Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y

HELP what is the slope

Answers

Answer:

D

Step-by-step explanation:

The line starts at 10 so I think it's that

Answer:

Slope of a line

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

Step-by-step explanation:

Khan Academy

Slope review | Algebra (article) | Khan Academy

How to slove this equation in simple form -9(8v-2v)+10b - (100v+6)

Answers

Answer:

- 154v + 10b - 6

Step-by-step explanation:

-54v + 10b - 100v - 6

-154v + 10b - 6

5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Answer:

One solution

Step-by-step explanation:

First, organize the equations by moving y to the left hand side:

5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x

3y = 2x + 9 is already done

Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:

2y=6-5x multiply both sides by 3, 6y = 18-15x

3y=2x+9 multiply both sides by 2, 6y = 4x+18

Substitute y on both sides and we get 18-15x=4x+18

Simplify that and you get 19x=0, x equals 0, so there is one solution

Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?

Answers

Answer:

J = 90

John has 90 dollars.

Step-by-step explanation:

We need to find how much money John has. To find how much J equals we need to break it down.

We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.

Steven has 30 less than two times the amount John has.

So 150 + 30 = 180

180 is two times the amount John has.

Because 180 is two times the amount John has we need to divide by two.

180 ÷ 2 = 90.

J = 90. Therefore John has 90 dollars.

This question was tricky! I hope I helped a little! Have a great day!!

find the equation of the line with slope of 2 passing through (3,1)

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

Y'all i need some help with this.

Answers

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

A bag only contains 4 red and 6 blue marbles. What is the probability of drawing a green marble?
NO LINKS OR TROLL
THIS IS YOUR WARNING

Answers

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

red=4blue=6green=0

There is no green marbles

So it will never occur(impossible event)

Probability is 0

I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?

Answers

Yeah sure I’d love to help do you have a picture that I can? Also love your pfp lol

Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?

Answers

Answer:

20 sides ( Icosagon )

3240 is the interior angles sum

Step-by-step explanation:

360 ÷ 18 = 20

180 - 18 = 162

162*20 = 3240 is the interior angles sum

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

  1 in : 50 mi

Step-by-step explanation:

You can eliminate the choices that don't make any sense by comparing the given numbers to the offered choices:

  given:

  15 in : 750 mi

__

A. 1 in : 50 mi . . . . . . . . equivalent to dividing the given ratio numbers by 15

B. 15 in : 100 mi . . . . . . same inches, wrong miles

C. 1 in : 750 mi . . . . . . . wrong inches, same miles

D. 1 mi : 50 in . . . . . . . . both inches and miles are wrong (the ratio has the units swapped)

__

In the given ratio, the numerical number of miles (750) is 50 times the numerical number of inches (15). This is the ratio you're looking for among the answer choices. You need to pay attention to both the numerical values and their associated units.

May I please receive help?

Answers

ok I got you

it is 40

A salad dressing recipe calls for ¾ cup of oliva oil for every ½ cup of vinegar. How many cups of vinegar are needed for 2 cups of olive oil?

Answers

Answer:

[tex]1\frac{1}{3}[/tex]  

Step-by-step explanation:

Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.

[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]

3/4 ? = 2(1/2)

3/4? = 1

  ? = 1 ÷ 3/4

  ? = 1 × 4/3

  ?  = 4/3

  [tex]? = 1\frac{1}{3}[/tex]

Holly has a credit limit of $2,500 on her credit card. She had a previous balance of $103.23
and made a $100 payment. The total of her purchases is $45.34. What is her available
credit?

Answers

Step-by-step explanation:

$103.23

$100

$45.34

+_____

=248.57

Graph the following features:
Slope = -3
• Y-intercept = -4

Answers

Answer:

maybe (-3,-4)?

Step-by-step explanation:

how to turn x+7y=20 into y=mx+b

Answers

Answer:

  y = -1/7x +20/7

Step-by-step explanation:

Solve for y.

  7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself

  y = -1/7x +20/7 . . . . divide both sides by the coefficient of x

In this form, you can see ...

m = -1/7b = 20/7 = 2 6/7

Answer:

y=-1/7x+20/7

Step-by-step explanation:

So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).

They're pretty much just asking us to solve for y.

x+7y=20

7x=20-x (Subtract x from both sides)

y=20-x/7 (Divide 7 on both sides to isolate y)

y=20/7-1/7x

y=-1/7x+20/7

So..

m=-1/7

b=20/7

Hope this helps :)

Can someone help me please?? It’s due on thursday ❤️ (rotate picture if u can)

Answers

Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.

If $400 Is The Principle and is paid for 2 years at 4% how much is the compound interest

Answers

Answer:

=$32

Step-by-step explanation:

Principal Amount=$400

Rate=4%

Time=2 Years

Interest=?

           =RPT/100

           =4x400x2/100

          =$32

                        ....................................................................

Find the slope of the line that passes through (3, 3) and (9,8). Simplify your answer and write it as a proper fraction, improper fraction, or integer​

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.

Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]

[tex]8-3 = 5[/tex]

[tex]9-3 = 6[/tex]

= [tex]\frac{5}{6}[/tex]

Hope this helps.

please help.
with the steps

Answers

Answer:

  -4/243

Step-by-step explanation:

Your calculator can do this.

You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...

  [tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]

Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?

Answers

Using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Translate the situation into algebraic equations.

Let y = Total cost x = number of sessions

Equation for total cost of the first plan:

y = 41x + 55

Equation for the total cost of the second plan:

y = 46x + 50

To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.

41x + 55 = 46x + 50

Combine like terms together

41x - 46x = - 55 + 50

-5x = -5

x = 1

For a session, both plans will yield the same cost.

The cost 1 session will yield for both:

41x + 55 = 46x + 50

Plug in the value of x

41(1) + 55 = 46(1) + 50

96 = 96

Therefore, using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Learn more about algebraic equations on:

https://brainly.com/question/10612698

A forest covers 74,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many
acres of old-growth trees are there?

Answers

Answer:

592

Step-by-step explanation:

0.008(74,000)

592

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

Answer:

592

Step by step explanation:

0.8% = [tex]\frac{8}{1000}[/tex]

8 out of every 1000 trees are old

74 * 8 = 592

Which of the following solution sets represent the inequality 3-1/2x>10?​

Answers

[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]

Ok done. Thank to me :>

The sum of 6 and a number is 3

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

The other number is 3.....

Hope it helps!

Brainliest pls!

Follow me! :)

The answer is -3 because 6 + (-3) is equal to 3

Help me: Solve: z^4 = -4

All answers should be in the format a+bi where a and b are real numbers

Answers

z²-2i=0

Answer:

Solution given:

z⁴=-4

doing square root on both side

[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]

we know i²=-1

substituting i² we get

z²=[tex]\sqrt{2²*i²}[/tex]

z²=2i

z²-2i=0 is a required answer. where

z² and 2 is real number.

Answer:

  z = {-1 -i, -1 +i, 1 -i, 1 +i}

Step-by-step explanation:

Using Euler's formula, we can write the equation as ...

  z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer

Then the 4th root is ...

  z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3

  z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3

  z = ±1 ±i

  z = {1 +i, -1 +i, -1 -i, 1 -i}

_____

Additional comment

Values of n are only needed in the range 0–3, because the answers repeat for values other than those.

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