One positive number is 5 more than twice another. If their product is 1827, find the numbers.

smaller number =
larger number =

Answers

Answer 1

9514 1404 393

Answer:

smaller: 29larger: 63

Step-by-step explanation:

If we let x and y represent "one number" and "another", respectively, then the given relations are ...

  x = 5 +2y

  xy = 1827

Substituting for x gives a quadratic in y:

  (5 +2y)(y) = 1827

  2y^2 +5y -1827 = 0 . . . . . written in standard form

We can use the quadratic formula to find the positive value of y that satisfies this:

  y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29

  x = 5 +2(29) = 63 . . . . using the above expression for x

The smaller number is 29; the larger number is 63.


Related Questions

what is an acid or a base​

Answers

an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .

A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .

hope this helps you

mrk me braniliest plz

Answer:

a acid is a substance that can donate protons . or accepts the balance protons to form a bond .

a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .

PLEASE HELP

X+11/8 = -3

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]

maaf jika salah

Answer:

x=-35

Step-by-step explanation:

x+11=-3*8

x+11=-24

x=-24-11

x=-35

if (a°+10°)and (a°+20°)are supplementry angles ,find them​

Answers

Step-by-step explanation:

a°+10°+a°+20°=180

becasue sum of angle of suplimentary angles is 180.

2a+30=180

2a=180-30

2a=150

a=75

What are the opposite rays

Answers

Answer:

ab and ed are opposite rays

Step-by-step explanation:

PLEASE MARK AS BRAINLIRST

Answer:

A pair of opposite rays are two rays that have the 'same endpoint and extend in opposite directions. So, together a pair of opposite rays always forms a straight line

Find the area of the semicircle.

Answers

Hi! I'm happy to help!

To solve for the area of a semi-circle, we just need to find the area of a circle, and divide it by 2.

The equation for area of a circle is A=[tex]\pi[/tex]r²

It says we can use 3.14 for pi, so we can write our equation like this:

A=3.14(r²)

Since we are dealing with half of a circle, we can  write this as:

A=[tex]\frac{1}{2}[/tex](3.14(r²))

Our radius is a straight line going from the edge of the circle to the center. We have the diameter, which is just the radius doubled (because it goes from the edge to the center point then back to the edge). So, we divide our diameter by 2 to get our radius.

14÷2=7

Our radius is 7, so we can plug that into our equation:

A=[tex]\frac{1}{2}[/tex](3.14(7²))

Now all we have to do, is solve:

A=[tex]\frac{1}{2}[/tex](3.14(49))

A=[tex]\frac{1}{2}[/tex](153.86)

A=76.93

So, our area is 76.93 units².

I hope this was helpful, keep learning! :D

Find the decimal number which is exactly halfway between 8.7 and 9.0

Answers

Between 8.7 and 9.0cuh and you not gonna get it wrong

1,772,198 rounded to the nearest ten thousand is ?

1,772,198 rounded to the nearest hundred thousand is ?

Answers

Answer:

malai thaxaina

(4yz)-3(x)
Y=4, z=2, x=-3

Answers

Answer:

=288

Step-by-step explanation:

(4yz)-3(x)

(4(4)(2))-3(-3)

(4x8)x9

32x9

288

Which angles represent alternate interior angles?



Question 21 options:

G and H


A and D


B and H


C and F

Answers

Answer:

A and D

Step-by-step explanation:

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.

A and D

If two parallel lines are transacted by a third line the angles which are Inside the parallel lines and on alternate sides of the third line are called alternate interior

Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32

Answers

Answer:

t = d/r; t = 5

Step-by-step explanation:

Hi there!

1) Isolate t

d = rt

Divide both sides by r

d/r = rt/r

d/r = t

t = d/r

2) Solve for t when distance is 40 and the rate is 8

t = d/r

Replace d with 40 and rate with 8

t = 40/8

t = 5

I hope this helps!

(12m^7-36m) ÷6m
Please answer. Really need help

Answers

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Which set of ordered pairs does not represent a function?

{(7, -5), (-5, -2), (8, –9), (-9,0)}

{(-3,0), (0, -5), (6,-2), (1, -2)}

{(6, -6), (-9,2), (6, -1), (-8, -9)}

{(7,3), (2, –6), (5, –7), (0, – 7)}

Answers

Answer:

{(6, -6), (-9,2), (6, -1), (-8, -9)}

A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number

Answers

Answer:

The number is 5

BRAINLIEST, PLEASE!

Step-by-step explanation:

8x + 2 = 2(21)

8x + 2 = 42

8x = 40

x = 5

In the expression, the value of number is 5.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We can to given that;

The algebraic expression is,

''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''

Now,

Let a number = x

Hence, We can formulate;

⇒ x × 8 + 2 = 2 × 21

⇒ 8x + 2 = 42

Subtract 2 both side,

⇒ 8x + 2 - 2 = 42 - 2

⇒ 8x = 40

Divide by 8;

⇒ x = 5

Thus, The value of number = 5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Someone
pls help will mark brainliest!!!

Answers

Answer:

f(t)=-16t^2+8t+2

Step-by-step explanation:

You take f(t)=-16t^2, and for vt look at the initial velocity which was 8 and for s look at the height which was 2

Help please and thank you

Answers

Answer:

16

Step-by-step explanation:

(x + 4)(x + 4) = x² + 8x + 16

16! (x+4)(x+4)
You take half of the middle x value (half of 8x in this case). Half of 8 is 4, square that number (4) and you get 16!

Please Help! I will give you a lot of points if you do!

-It's NOT regular subtraction. You have to use Hindu-Arabic number system. If you don't and just use our regular number system then I will report you and give you a red flag

Answers

Answer:

377

Step-by-step explanation:

See attached.

Step-by-step explanation:

510 (base eight)

-111 (base eight)

___

377 (base eight)

I need help as soon as possible pleaseeeeeee!!!!!!!

Answers

first youd have to get the least common denominator, which would be 6. you do this by multiplying the denominator and numerator by the number needed to get to the least common denominator. this gives you 1 and 2/6 aswell as 3 and 3/6. from there its easier to count from 1 and 2/6 to 3 and 3/6. the final answer would be 2 and 1/6 unit away.

if this helped please give brainliest!

PLEASEEE HELP!!!!!!!

Temperatures in Verkhoyansk, Russia have been recorded as low as -90°F and
as high as 98°F. What is the difference between the highest and lowest recorded
temperatures in Verkhoyansk?

Answers

Hi,

The difference is 188 F

Solve the inequality for x and identify the graph of its solution.

|x+1|>2

Choose the answer that gives both the correct solution and the correct graph.

Answers

Answer:

D

Step-by-step explanation:

|x+1|>2

-2>x+1>2

-3>x>1

Option D is correct that is the solution of the inequality |x+1|>2 is  x<-3 or x<1.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

What is a solution of an inequality?

Solution of an inequality is a value that makes the inequality true.

According to the given question

We have an inequality |x + 1|>2.

The solution set of the above inequality is given by

[tex]|x + 1| > 2[/tex]

⇒ [tex]-2 > x+1 > 2[/tex]

⇒ [tex]-2-1 > x > 2-1[/tex]

⇒ [tex]-3 > x > 1[/tex]

⇒ [tex]x < -3[/tex] or [tex]x < 1[/tex]

Hence, option D is correct that is the solution of the inequality |x+1|>2 is  x<-3 or x<1.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

In a class of 80 students, 45 are good in math,15 are good in both math and english,13 are good in both math and psychology,16 are good in both english &physchology ,20are good in physchology and 9 are good in all of the three .how many of them are good in mathematics

Answers

Answer:

26 students are good in mathematics only.

28 students are not good in any of the three courses.

A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.
Which line segment is drawn in the figure?

Line segment Y Z
Line segment W Y
Line segment X Z
Line segment W Z

Answers

Answer:

the correct answer is

Line segment X Z

Answer:

Line segment X Z

Step-by-step explanation:

Referring to the figure, find the area of the
trapezoid shown.

Answers

The shape is 2 triangles. Find the area of each one and add them together.

1/2 x 6 x 10 = 30

1/2 x 10 x 12 = 60

30 + 60 = 90

Area = 90 square inches

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Given :Base (a) = 12 in.Base (b) = 6 in.Height (h) = 10 in.To Find :Area of Trapezoid

Formula used : ½ (a + b) h

Solution :

Area of Trapezoid = ½ (a + b) h

= ½ (12 + 6) 10

= ½ × 18 × 10

= 1 × 9 × 10

= 9 × 10

= 90 in.²

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

12=-4(-6x-3) please help

Answers

Step-by-step explanation:

12=-4(-6x-3)

when minus is multiplied by minus then the result is plus,

12=24x+12

Now, subtract 12 from both sides,

12-12=24x+12-12

0=24x

Now, divide both sides by 24

0/24=24x/24

0=x

Answer and Step-by-step explanation:

First, distribute the negative 4 onto the negative 6x and negative 3.

12 = 24x + 12

Subtract 12 from both sides of the equation.

0 = 24x

Divide both sides of the equation by 24.

x = 0

To check our answer:

-4(-6(0) - 3) = 12

-4(0 - 3) = 12

-4(-3) = 12

12 = 12 ✓

So, x is equal to 0.

#teamtrees #PAW (Plant And Water)

I hope this helps!

What is the answer and method for this equation?

Answers

Answer:

X = 15/16

Step-by-step explanation:

2(4-8x) + 6 = -1

8 - 16x + 6 = -1

14 - 16x = -1

-16x = -1 -14

-16x = -15

X = 15/16

Answer:

[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]

x=15/16 is the right answer.

Add the Following Fractions:

\large \frac{3}{8}+\frac{2}{8}=?

a. 5/16
Selected:b. 5/8This answer is correct.
c. 6/8
d. 1/8

Answers

Hi ;-)

[tex] \frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8} [/tex]

Answer:

[tex] \frac{3}{8} + \frac{2}{8} \\ denomentor \: is \: equal \: so \: we \: can \: add \: it \: \\ \: then \frac{3 + 2}{8} \\ = \frac{5}{8} \\ thank \: you[/tex]

what is the mid point of (27,3) and (18,-1)

Answers

Answer:

(22.5 , 1)

Step-by-step explanation:

Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]

[tex]\frac{27+18}{2}[/tex]=22.5

3+-1=2

2/2=1

So, midpoint is (22.5 , 1)

You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.

There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.

Answers

Answer:

5/10

Step-by-step explanation:

for every girl picked a boy is also picked. There are 10 kids so it's a 50% chance it happens

Answer:

50%

Step-by-step explanation:

5/10

*simplify*

1/2

*divide 1 by 2*

0.5

*multiply by 100, or move the decimal twice*

0.5 ---> 5. ---> 50.

50. = 50

so your answer is 50%.

Simplify the expression.
3 (2 + 9) + 15 simplified is

Answers

Answer: (9)/(15)

Step-by-step explanation:

Start with distributing the 3:

3(2+q)+15 = 6 + 3q + 15

Then combine like terms:

= 3q + 21

How to find 'w' ?
s is parallel to t​

Answers

Answer:

110°

Step-by-step explanation:

v is 70°, that is opposite to w. The degree of a line is 180°.

180 - 70 = 110

I hope this helps!

pls ❤ and mark brainliest pls!

brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

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