Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67

Answers

Answer 1

Answer: The point (5,7) is on the line 5x+6y = 67

=====================================================

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.


Related Questions

Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year. If no deposits or withdrawals are made during the year, how much money will be in her account after one year?

Answers

Answer:

FV= $1,545

Step-by-step explanation:

Giving the following information:

Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year.

To calculate the nominal value of the account after one year, we need to use the following formula:

FV= (P*r*t) + P

FV= future value

P= principal

r= interest rate

t= 1

FV= (1,500*0.03*1) + 1,500

FV= $1,545

A video game awards points each time a player finds a diamond. The players' point total increases with each additional diamond the player finds, as shown in the table below.

If n represents the number of diamonds found and p represents the total number of points, write an equation that models the points awarded for finding diamonds in this video game. Use the on-screen keyboard to type the equation in the box.

Answers

Answer:

15x-5=y

Step-by-step explanation:

The equation of the line will be written as y = 15x - 5.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given data is,

The number of diamonds          Total number of points earned

      1                                                             10    

      2                                                            25

      3                                                            40    

      4                                                            55  

      5                                                            70

The slope of the line will be,

Slope = ( 25 - 10 ) / 1

Slope = 15

The y-intercept of the line,

y = mx + c

y = 15x + c

10 = 15 + c

c = -5

The equation will be written as,

y = mx + c

y = 15x - 5

Therefore, the equation of the line will be written as y = 15x - 5.

To know more about an equation of the line follow

https://brainly.com/question/18831322

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Can anyone by chance know how to do these geometry questions?

Answers

my screen shows black pages there isn’t anything there for me?

Answer:

G is equal to (8, -11)

Step-by-step explanation:

We are given the midpoint and one end of the line segment.  We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:

[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]

So the coordinates of endpoint G are (8, -11)

answer quickly !!! Pls

Answers

Answer:

(6 × 5) + (6 × 3) = 6 × (5 + 3)

Step-by-step explanation:

Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.

find the value of x.
4.
122°
100°
to
144

Answers

Answer:

84 degrees i think

Step-by-step explanation:

polygons have their interior angles add up to 540, so you just add up all the angles given and subtract them from 540, then you get your answer.

PLEASE HELP ME WITH THIS ASAP

Answers

9514 1404 393

Explanation:

1. ΔABC ≅ ΔDEF . . . . . 1. SAS postulate*

_____

The two given congruent sides are either side of the given congruent angle, so the SAS postulate applies. The objective appears to be irrelevant.

find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)

Answers

Answer: A

Explanation:

Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.

It should be A (-2,-4). When using elimination.

I need help by score is going down

Answers

Answer:

JUST DO IT!

Step-by-step explanation:

Motivation

pls answer quick !!!

Answers

Answer:

A = The greatest common factor would be 9.

B: 45+63= 9*(5+7)

Step-by-step explanation:

Answer:

b is 45+63=9(5+7)

Step-by-step explanation:

Once you know the GCF, you just need to find what the GCF (9 in this case), times what will get you 45 and 63. So we already know that 9 will be on the outside of the parentheses since it's what we're multiplying by. 9 times 5 is 45, so for the first number in the parentheses you'll put 5, and for the second, 9 times 7 is 63, so the second number in the parentheses is 7. You can check by solving it. 9(5+7). Use the distributive property and first you will do 9 times 5, which is 45, then 9 times 7 which is 63, so you'll get 45+63, which is correct.

1. Suppose Alice eats 3 ounces of base 2 cake (doubles her height for each ounce eaten) at each meal. a) What will her height be multiplied by after two meals? b) After three meals? c) After four meals? d) After M meals?

Answers

Answer:

a)64

b)512

c)2^12

d)2^3m

Step-by-step explanation:

At every meal, 3 ounces of the cake is eaten

a) After 2 meals, the number of ounces consumed is 6 ounces

For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2

Her height is multiplied by 64

b) After three meals

Total consumption is 3 * 3 = 9 ounces

So her height will be multiplied by 2^9 = 512

c) After four meals

Total ounces is 4 * 3 = 12

So her height will be multiplied by 2^12

d) After M meals

Number of ounces is m * 3 = 3m ounces

Her height will be multiplied by 2^3m

(9×9)×{-5}÷2=.....please help​

Answers

Answer:

405/2

202 remainder 1

Step-by-step explanation:

pliz mark brainliest

Answer:

81×(-5)÷2

-202.5

-405 down 2 , -202 1down2

Step-by-step explanation:

did I got wrong? ?

Help me pls ASAP thank you

Answers

Answer:

3rd option

Step-by-step explanation:

The input(x) does not repeat

At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks. During that month, he also made two deposits of $600 each and one deposit of $1,000. What was the balance in Stephen’s account at the end of the month?

Answers

Answer:

- 1625

Step-by-step explanation:

420 times 4 = 1680

1624 - 1680 = -56

-56 - 600 - 1000 = -1625

BRAINLIEST PLEASE

what is the answer to X - 8 < -2

Answers

Answer:

X>6

Step-by-step explanation:

X-8<-2

X<-2+8

X>6

because the sign changed from negative to positive, the inequality has to be flipped

What is the rate
$150/25
written as a unit rate?
A.

$30/5
B.

$6/1


C.

$4/1
D.

$125/2

Answers

The answer is B, divide the rate by the unit to simplify

Answer:

B

Step-by-step explan

150 divide by 25

25 divide by 25

The club sold shirts and capes to raise money for new stage equipment. The club sold each shirt for $20.00. The club made profit of $4.00 for each shirt. Sold. Part A: The drama club sold a total of $480.00 worth of shirts. How much profit did the club make from the shirt sale?

Answers

Answer:

The club made a profit of $96 from the shirt sale.

Step-by-step explanation:

First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:

480/20=24

Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:

4*24=96

According to this, the answer is that the club made a profit of $96 from the shirt sale.

Billy Bob is filling his bathtub with water. At one minute, there are 5
gallons, at two minutes there are 8 gallons, and at 3 minutes there are
11 gallons of water in the tub.
If this pattern continues, how many gallons of water will be in the tub
at 7 minutes?

Answers

Answer:

There will be 23 gallons

Answer:

23 gallons

Step-by-step explanation:

the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23

I am solely here to brag!
I am officially a college student and only 14!
Next semester I will on top of my high school classes be taking college courses.
And by 11th grade be officially done with high school!

Answers

Answer:

That's wonderful!

Step-by-step explanation:

I'm really proud of you! I'm 14 (almost 15), and taking sophomore classes right now, and a foreign language. I absolutely regret not taking a second math class this year (Algebra II).

There are three choices of jelly beans: sour apple, cherry, and blue
raspberry. The probability of getting a cherry is 1/4, blue raspberry is 2/5,
what is the probability of getting sour apple?

Answers

Answer:

7/20

Step-by-step explanation:

Total probability=1

Total probability of selecting either cherry or raspberry=¼+²/5=13/20

Probability of getting sour apple=1-13/20=7/20

Sas a ribbon that is 5/6 yard long. She cuts off 3/5 of that ribbon and uses it to tie her hair back. She gives the rest to her sister. How much of the original ribbon did she give to her sister? ​

Answers

Answer:

7/30

Step-by-step explanation:

5/6 = 25/30  3/5 = 18/30

25/30 - 18/30 = 7/30

Sas gives 7/30 of the ribbon to her sister.

Hope this helps! :3

Simplify 3(2y -1) + 2y

Answers

Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

Solve the system using substitution. Check your solution.
2x - y= 65
5y = x

Answers

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

The equation 2x-7=5+x has exactly one solution. True or false

Answers

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

what is the value of X with f (x) =4

Answers

Answer:

I can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

Hope this helps! :)

The answer is Range: {4} or,  x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

Here, we have,

f (x) =4

now,

we can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

There are x’s in the equation.

It’s actually all numbers are x’s because anything you put into the function f(x)=4, y will always equal 4.

So the value of x in f(x)=4 is all numbers.

To be more specific, all real numbers.

That’s why I put (−∞, ∞), {x | x∈R} because x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

To learn more on number click:

brainly.com/question/17429689

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what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000

Answers

Answer:

izuocha is superior

Step-by-step explanation:

Answer:

ochaochaochaocha

Step-by-step explanation:

sorry i trying to get attention from someone

Ifa line segment has a length of 12 units and after a dilation the image
length is 4 units, what was the scale factor?
A. 1/3
B. 3
C. 8

Answers

Answer: Choice A) 1/3

================================================

Work Shown:

x = preimage length = 12

y = image length = 4

z = scale factor

z = y/x

z = 4/12

z = (1*4)/(3*4)

z = 1/3

The scale factor is 1/3.

This means the image is 1/3 of the length of the preimage.

What is the y-intercept of the equation?

Answers

Answer:

5

Step-by-step explanation:

Y=-3x+5

the y-intercept would be 5

Passing through
(1,2) and (5,10)

Answers

Step-by-step explanation:

equation of the line is

y =mX + C

to calculate m(slope) :

m= 10-2/5-1 = 2

to find C ....Substitute in eq. by one point

2= 2×1+C

C. = 0

So the eq. is

y=2X

Which equation is not linear

A. -4x + 2y =7
B. x/4 =y
C. X=-5
D. 2/x + 3/y

[ that's / not a division it's a fraction bar]

Answers

The answer to this question is C.X=-5

i genuinely don't understand . please help me asap

Answers

Answer:

48.17

Step-by-step explanation:

Umm.. i don't really have time to explain but

A^2+B^2=C^2

36^2+32^2=48.17

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