The larger of 2 numbers is 2 more than five times the smaller number. if the sum of the two numbers is 80, find both numbers

Answers

Answer 1

Answer:

The larger number is 67 and the smaller number is 13

Step-by-step explanation:

y=5x+2

x+y=80

-5x+y=2

6x=78

x=13

y=65+2

y=67


Related Questions

Which of the following statements are correct?
Please help

Answers

Answer:

True A. angles one and five are corresponding angles.

True B. angles three and six are alternate interior angles.

False C. angles two and seven are alternate interior angles.

Angles two and seven are alternate exterior angles.

False D. angles five and eight are alternate exterior angles.

Angles five and Eight are verticle angles.

False E. angles two and four are same-sided consecutive angles.

Angles two and four are supplementary angles

True F. angles four and six are same side consecutive angles.

True G. angles one and eight are alternate exterior angles.

Solve
-16 - 8

A. 24

B. 8

C. -8

D. -24

Answers

Answer:

D. 24

Step-by-step explanation:

This can be rewritten as

-16 + -8

This is equal to -24

Answer:

D= -24

Step-by-step explanation:

coz I used the table method so I also found it's correct

Trayvon enters a competition to guess how many balls are in a barrel.
Trayvon’s guess is 63 balls.
The actual number of balls is 60.

What is the percent error of Trayvon’s guess?

Answers

5% error

Step-by-step explanation:

% error = (estimation - actual value)/actual value * 100%

Trayvon's estimation is 63 and the actual value is 60, so our expression is:

(63 - 60)/60 * 100

63 - 60 = 3, so we get:

3/60 * 100

And 3/60 = 0.05, so now we have:

0.05 * 100 = 5

The percent error of Trayvon’s guess is 5%

What is the absolute error?

"It is the absolute difference between an observed value and the actual value."

What is the relative error?

"It is the ratio of the absolute error of the measurement to the actual value."

What is the percent error?

"It is the relative error multiplied by 100."

For given example.

Trayvon’s guess is 63 balls.

[tex]V_o=63[/tex]

The actual number of balls is 60.

[tex]V_A=60[/tex]

The absolute error is,

[tex]\Rightarrow A=|V_o-V_A|\\\\\Rightarrow A=|63-60|\\\\\Rightarrow A=3[/tex]

The relative error is,

[tex]\Rightarrow R=\frac{A}{V_A} \\\\\Rightarrow R=\frac{3}{60}\\\\ \Rightarrow R=0.05[/tex]

The percent error is,

[tex]\Rightarrow P=R\times 100\\\\\Rightarrow P=0.05\times 100\\\\\Rightarrow P=5\%[/tex]

Therefore, the percent error of Trayvon’s guess is 5%

Learn more about the percent error here:

https://brainly.com/question/3670306

#SPJ2


Use the graph to determine the
solution (solutions) of the equation
f(x) = 0.

Please help, with explanation

Answers

Answer:

  -3, 1

Step-by-step explanation:

The vertical scale of the graph is f(x). So, f(x) = 0 is the x-axis. Where the graph crosses the x-axis, the value of f(x) is 0.

The x-axis is labeled on alternate lines. Those labels are sufficient to tell you that each grid line represents one unit. The curve intersects the x-axis 3 units to the left of the vertical axis, at x = -3, at 1 unit to the right of the vertical axis, at x = 1.

The values of x where f(x) = 0 are -3 and 1.

Find the slope of the line that passes through:
(6,7) and (4,2)

Answers

Answer:

5/2

Step-by-step explanation:

Slope = Change in y/Change in x

Slope = 2 - 7/4 - 6

Slope = -5/-2

Slope = 5/2

-Chetan K

The sum of two numbers is 17 and their product is 66 what are the two numbers.

Answers

Answer:

11 and 6

Step-by-step explanation:

Let the numbers be X and Y

Then their sum: X+Y=17 equation 1

Product: X×Y=66 equation 2

X+Y=17. X =17-Y

XY=66.

(17-Y)Y=66 -Y²+17Y-66=0

Y=6 or 11

X=17-Y. X=17–6=11 or X=17–11=6

Therefore you can conclude that the numbers are 11&6

Answer:

11 and 6

Step-by-step explanation:

x + y = 17

x × y = 66

First, solve for y

x + y = 17

x + y - x = 17 - x

y = 17 - x

Then substitute y to x × y = 66

x × y = 66

x(17 - x) = 66

17x - [tex]x^{2}[/tex] - 66 = 66 - 66

- [tex]x^{2}[/tex] + 17x - 66 = 0

(- [tex]x^{2}[/tex] + 17x - 66) = 0

(-x + 6)(x - 11) = 0

-x + 6 = 0

-x + x +6 = 0 + x

6 = x or x = 6

x - 11 = 0

x - 11 +11 = 0 + 11

x = 11

Then the numbers are 11 and 6

hooke’s law states that the extension or elastic string beyond its natural length as the force applied. if a weight of 9 9 pounds attached to s spring causes it to a length of 20 inches?

Answers

Answer:

https://brainly.com/question/25709302

The hypotenuse of a 30°-60°-90º triangle is 8 units and one leg is 4 units. What is the length of the other leg?

Answers

Answer:

The length of the other leg is [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

There are 2 ways to solve this.

1) Pythagorean theorem (the harder way)

A 30-60-90 triangle is a right triangle, and therefore you can use the pythagorean theorem to calculate the measure of 1 side given the 2 others.

[tex]a^2+b^2=c^2\\a^2+4^2=8^2\\a^2+16=64\\a^2=48\\a=\sqrt{48}\\a=6.9282...[/tex]

That's one solution, but its not a very nice number or the exact answer you probably want. Instead, you can simplify the root.

First, you need to factor 48:

[tex]2*24=48\\2*12=24\\2*6=12\\2*3=6[/tex]

The prime factors of 48 are:

[tex]2*2*2*2*3=48[/tex]

Then, you need to find perfect squares:

[tex](2*2)*(2*2)*3=48\\2^2*2^2*3=48[/tex]

And finally, you can remove those like this:

[tex]\sqrt{48} =\sqrt{2^2*2^2*3} \\\sqrt{48} =2\sqrt{2^2*3} \\\sqrt{48} =2*2\sqrt{3} \\\sqrt{48} =4\sqrt{3}[/tex]

The length of the other leg is [tex]4\sqrt{3}[/tex]

2) 30-60-90 triangle relationships (the easier way)

There are 4 simple rules here:

Short leg × 2 = hypotenuseShort leg × √3 = long legLong leg ÷ √3 = short legHypotenuse ÷ 2 = short leg

They're actually pretty easy to remember. You can multiply the short leg by 2 or √3, and 2 is greater than √3 (check a calculator). The hypotenuse of course is also longer than the long leg, so you have to multiply by 2 to get it. Then for the long leg, the only option is to multiply by √3. The same works in reverse for both of those.

Here, we have the short leg. You can check that with the pythagorean theorem again to be sure:

[tex]a^2+4^2=8^2\\a^2+16=64[/tex]

Because 16 is less than half of 64, a has to be the longer leg. Using the rules above, multiply the short leg by √3 to get the answer:

[tex]4 * \sqrt{3} \\4\sqrt{3}[/tex]

Same answer as the previous method.

Explain how you can write 4.1 as a/b

Answers

Answer:

ax + by

Step-by-step explanation:

i hope its correct

if its wrong then im sorry :)

What is the sum of the two expressions? (3/7x+4)+(1/7x-2)

Answers

Combine the like terms:

3/7x + 1/7x = 4/7x

4 + -2 = 4-2 = 2

Answer: 4/7x + 2

what is the trend of the graph of the equation y = 3x + 10​

Answers

Answer:

3x+y-10

Step-by-step explanation:

please Mark my answer in brainlist

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]

Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .

However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.

Use co-factor expansion along any row or column of your choice.

This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.

In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc

I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :

∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]

A shoe store uses a ​40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$71​?

Answers

Answer:

40% * 71 = Markup price

40% of 71 is 28.4, so i added the two together and got 99.4

so...

$28.4 + $71 = $99.40

(2, 7); m = -3
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)

Answers

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

Five tickets numbered 1, 2, 3, 4, and 5 are placed in a box, and three are selected at random. Determine the probability of obtaining a 1 or a 2 or both.

Answers

Answer:

the probability is 1 and 2

Given the system of equations presented here:

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.

Answers

Answer:

yep its D

Step-by-step explanation:

Answer:

D     Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

Marsha Hansen, the manager of the Flint Plant of the Michigan Company is responsible for all of the plant's costs except her own salary. There are two operating departments within the plant, Departments A and B. Each department has its own manager. There is also a maintenance department that provides services equally to the two operating departments. The following information is available.    (on the picture)            Departments managers are responsible for the wages and supplies in their department. They are not responsible for their own salary. Building rents, utilities, and maintenance are allocated to each department based on square footage. Required: Complete the responsibility accounting performance reports below that list costs controllable by the manager of Department A, the manager of Department B, and the manager of the Flint plant.

I will post the template too

Part 1:​

Answers

Answer:

Hello

Step-by-step explanation:

Tarik filled his tank with 11 gallons of
premium gasoline. He paid $38.76. How
much did Tarik pay per gallon?

Answers

I think the answer is he payed $3.40

Charlie saves $2 for every $9 he earns. Melody saves $4 for
every $12'she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned?

Answers

no they are not equivalent

Step-by-step explanation:

due that when you subtract 12 from 4 =8

but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more

5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights

Answers

3 7/8 + 6 5/8 =

9 12/8 = 10 4/8

10 4/8 = 10 1/2

The answer is 10 1/2

If you are not looking for a mixed fraction it should be..

21/2

Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round two places past the decimal

Answers

Answer:

$199.89

Step-by-step explanation:

The bike costs 266.52

The parents are contributing one fourth of this (1/4)

We need to find 1/4th of 266.52

Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike

The answer is 66.63

Now subtract 66.63 from 266.52

Justin has to pay a total of 199.89

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.

Step-by-step explanation:

2 paisa per 2 rupees per month​

Answers

Answer:

2 paisa per rupees per month

So rate= 2%

What is the temperature change between the greatest value and the least value?
-25°F, 5°F, 60°F, -45°F, -10°F, 90°F
WILL BR MARKED BEST

Answers

The temperature change between the highest and lowest.
Highest- 90 degrees
Lowest- -45 degrees

-45 to 0 = 45 units
0 to 90 = 90 units
45+90 units = 130

ANSWER 130

If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)

Answers

The compound interest after 15 years is

$36,978.97

answerrrrrrrrrrrr plssssssssssssssssssssssssssssssss

Answers

They think I’m too young to love you I don’t know what I need

What is sin 60°?
WA :)
an
2
90
30
5
A. I
оо
B.
-IS
o
C. 1
D.
O
E. 5
o
OF
PREVIOUS

Answers

Answer:

F

Step-by-step explanation:

If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2

URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?


C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.

Answers

Answer:

C must be acute, and ABC cannot be constructed

Step-by-step explanation:

24 degrees is under 90 degrees making angle c an acute angle.

ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.

Have a great day friend! :D

Answer:

C must be acute.

Step-by-step explanation:

The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.

How do you find the answer for 30=6x+20

Answers

Answer:

5/4

Step-by-step explanation:

How do you find the answer for 30=6x+20?

solve for x

30 = 6x + 20

10 = 6x

x = 10/6

semplify

5/4

------------------ check

30 = 6 * 10/6 + 20

30 = 10 + 20

30 = 30

the answer is good

What is the expanded form of 14.702

Answers

Answer:

The expanded form for 14.702 is

fourteen and seven hundred two thousandths

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