A number is 10 more than another number. Twice the sum of the two numbers is 44. Find the two numbers.

Answers

Answer 1

Answer:

The two numbers are 6 and 16

Step-by-step explanation:

16+6=22

22+22=44

Answer 2

The numbers are 6 and 12.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number are x and y.

A number is 10 more than another number then

x + 10 = y...............(1)

and, Twice the sum of the two numbers is 44.

2(x+y)= 44...........(2)

Solving the above equation we get

x+ y= 22

y-10 + y = 22

2y = 32

y= 16

and, x= y-10 = 16-10= 6

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2


Related Questions

Solve the following inequality: |x – 4|> 6

Answers

Answer:

x>10  or x< -2

Step-by-step explanation:

There are two solutions, one positive and one negative, remembering to flip the inequality for the negative

x-4 >6    or x-4 < -6

Add 4 to each side

x-4+4 > 6+4   or x-4+4 < -6+4

x>10  or x< -2

Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 2/3 of an hour

Answers

Answer:

Answer:

If:   153  words = 3  minutes  :

Then:  1 minute =  153 3 =  51 words

10 minutes is:

10 × 51 = 510

Ben can type 510 words in 10 minutes

A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W

Answers

Answer:

A = W² + 6W

Step-by-step explanation:

The width is W.

The length is 6 units greater than the width, so the length is W + 6.

The area is the product of the length and width.

A = (W + 6)W

A = W² + 6W

Please I need help the picture below with the options

Answers

9514 1404 393

Answer:

  (B)  Function 2

Step-by-step explanation:

We can compute the slope of Function 2 using the slope formula.

  m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.

  m = (0.2 -0.8)/(3 -2) = -0.6

The slope of Function 1 is about ...

  -3/7 ≈ -0.43

The slope of Function 2 is more negative.

__

On a graph, the line representing function 2 has a steeper downward slope.

In the following expression, both A and B are variables that can take positive values.

A+2/B

Which of these actions will cause the expression's value to increase?
Choose 2 Answers
A.
Keeping A constant and increasing B

B.
Keeping A constant and decreasing B

C.
Increasing A and keeping B constant

D.
Decreasing A and keeping B constant

Answers

I think the answer is A and C!

Answer:

B) Keeping A constant and decreasing B

C) Increasing A and keeping B constant

Step-by-step explanation:

I did it on Khan Academy :)

On the first day of December, 34,789 people went to the mall. On the second day 63,587 people went to the mall. How many people went to the mall over the two days

Answers

Answer:

98376

Step-by-step explanation:

How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?

Answers

300000000000000000000000

A group of friends in Chicago watched a televised bullfight. They ordered 3 pizzas ($15 each), 15 drinks ($1.50 each), and 6 large nachos ($5.80 each). After adding 5% and a 20% tip to the total, what did they pay for the food? (The tip is 20% of the total before the tax is added) around the answer to the nearest while cent

Answers

Answer:

$127.875

Step-by-step explanation:

cost of 3 pizzas= $15*3

cost of 3 pizzas=$45

cost of 15 drinks=$1.50*15

cost of 15 drinks=$22.5

cost of 6 nachos=$5.80*6

cost of 6 nachos=$34.8

Total cost = pizza cost+ drinks+nachos

total cost=$45+$22.5+$34.8

total cost=$102.3

Now ,

Tip cost=$102.3*20%

=$20.46

tex cost=$102.3*5%

=$5.115

Bill which all friends pay=total cost+ tip cost+tex cost

= $102.3+$20.46+$5.115

=$127.875

If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.

Answers

Answer:

a. isosceles

b. isosceles

c. scalene

The students at a school assembly
were divided into 4 equal groups.
There were 73 students in each
group. Write and solve an equation
to determine the number of students
that were at the assembly.

Answers

Answer:

292

Step-by-step explanation:

73 students in 1 group

4 groups all together

73 Students times 4 groups = amount of students all together

so 73x4=292

Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?

Answers

Answer:

y = c1 e^-x + c2 e^(3x)

Step-by-step explanation:

Review linear DE's

(D-3)(D+1)y = 0

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Answers

Answer:

6(3) - 4 - 3²

Step-by-step explanation:

(g - f) = 6x - (4 - 2x²)

= 6x - 4 - 2x²

and when we replace x with 3 ,it will be

6(3) - 4 - 3²

hope this helps

Answer:

Basically what the person on top of me said

Step-by-step explanation:

Got it right !

What is the following difference?
230 192ab -5 V81365

Answers

2ab (3)/192ab^2 - 5 (3)/81a^4b^5

2ab (3)/64*3*a*b^2 - 5 (3)/27*3*a^3*a*b^3*b^2

2*4*a*b (3)/3ab^2 - 5*3*a*b (3)/3ab^2

8ab (3)/3ab^2 - 15ab (3)/3ab^2

-7ab (3)/3ab^2

After the / is under the cube root

Write this as an algebraic expression:

You have $100 and make $25 a day

Answers

Answer:

25d + 100

Step-by-step explanation:

I will call "d" the days passed

25d + 100

43 + (-56) -78=
What is the steps to solve ?

Answers

PEMDAS- Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer= -91

Two jets leave an airbase at the same time and travel in opposite directions, One jet travels 71mi/h faster than the other. If two jets are 7014 miles apart after 6 hours what is the speed of each jet?

Answers

jet1 = 549 mi/h

jet2 = 620 mi/h

x= jet1

x + 71 = jet2

6 hours

6 * x

6 * x + 71

6x + 6x + 426 = 7014

12x = 7014 - 426

12x = 6588

x = 6588/12

x= 549

x + 71 = 620

wyzant

Need help!!!!

Will earns $6.50 per hour and time-an-a-half for all hours over 40.
Find his weekly pay if he worked 47 hours.
a. $305.50
b. $328.25
c. $269.75
d. $68.25

Answers

Answer:

b

Step-by-step explanation:

Help with this please now

Answers

Answer:

ok dude

Step-by-step explanation:

Wʜᴇʀᴇ ɪs ǫᴜᴇsᴛɪᴏɴ?

Answer:

what help l don't understand please sorry I didn't help you explain your problem l will help you

A perpendicular bisector runs through the middle of a line segment and splits into

Answers

Answer:

B two congruent pieces

Step-by-step explanation:

Perpendicular means at a 90 degree angle

bisector means it divides in it half, into two equal pieces

How do Curves A and B compare to each other with respect to f and f ′?
The answer cannot be determined.
f: Curve B, f ′: Curve A
f: Curve A, f ′: Curve B
Neither Curve A nor Curve B are derivatives of each other.

Answers

It's likely that curve A is f and curve B is f '.

The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.

What are the coordinates of the midpoint
of the segment joining the points
A(-3,-1) and B(4,2)?
Midpoint = (***
x1 + x2 Y1 +92
2 2.
O (2,-4)
(-1.0.5)
O (1.-2)
(0.5, -1)

Answers

Answer:

(0.5, -1)

Step-by-step explanation:

A. 0
B. Nonexistent
C. 1
D. -1

Answers

Answer:

[tex]\displaystyle \lim_{x\rightarrow 0^{+}} \frac{x\ln x}{\tan x}=-\infty\implies \text{B. Nonexistent (best answer)}[/tex]

Step-by-step explanation:

Recall L'Hopital's rule:

[tex]\displaystyle \lim_{x\rightarrow c}\frac{f(x)}{g(x)}=\lim_{x\rightarrow c}\frac{f'(x)}{g'(x)}[/tex]

First derivative of [tex]x\ln x[/tex]:

Recall the product rule:

[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]

[tex]\displaystyle \frac{d}{dx} (x\ln x)=\frac{d}{dx}(x)\cdot \ln (x)+\frac{d}{dx}(\ln x)\cdot x[/tex]

Note that:

[tex]\displaystyle \frac{d}{dx}(x)=1,\\\frac{d}{dx}(\ln (x))=\frac{1}{x}[/tex]

Simplifying, we get:

[tex]\displaystyle \frac{d}{dx} (x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x,\\\frac{d}{dx}(x\ln x)=\ln x+1[/tex]

First derivative of [tex]\tan x[/tex]:

[tex]\displaystyle \frac{d}{dx}(\tan x)=\sec^2 x[/tex]

Therefore, we have:

[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}[/tex]

By definition, [tex]\cos x=\frac{1}{\sec x}[/tex]. Therefore,

[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}=\lim_{x\rightarrow 0^{+}}\cos^2x(\ln x+1)[/tex]

Note:

[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\cos^2x=1,\\\lim_{x\rightarrow 0^{+}}\ln x+1=-\infty[/tex]

Substitute:

[tex]\displaystyle \lim_{x \rightarrow0^{+}} \cos^2x(\ln x+1)=1\cdot (-\infty)=-\infty[/tex]

Therefore, we have:

[tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty \text{}[/tex], which best corresponds with [tex]\boxed{\text{B. Nonexistent}}[/tex]

*Commentary:

Technically speaking, a limit exists only if it is equal to a real number. By proper definition, infinity is not a number. With that being said, you will see limits expressed as infinity or negative infinity.

Here's what I will say about this specific problem.

The problem is stipulating that we approach [tex]x[/tex] from the right side. Because of this condition, it may be unorthodox to say this limit doesn't exist. However, if the problem just asked for [tex]\displaystyle \lim_{x\rightarrow 0}\frac{x\ln x}{\tan x}[/tex], it is common and preferred to say this limit does not exist, since [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{x\ln x}{\tan x}\neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}[/tex].

For example, [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}=\text{DNE}[/tex], because [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}[/tex] diverges. In other words, [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{1}{x}=-\infty \neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{1}{x}=\infty[/tex].

But again, the problem is asking for the limit as [tex]x[/tex] approaches from the right, in which case [tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty }[/tex]. It's really a pedagogical choice whether to say a limit equal to infinity or negative infinity exists or not since infinity implies there is no limit, so saying the limit of something is infinity becomes an oxymoron. In this case, the person who wrote the answer choices chose to express a limit of infinity as nonexistent, but it is worth mentioning that someone else solving this problem might express [tex]-\infty[/tex] as the answer, and they would be just as, if not more, correct.

Without resorting to L'Hopital's rule, recall that

[tex]\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax} = 1[/tex]

for a ≠ 0. Then

[tex]\displaystyle \lim_{x\to0^+} \frac{x \ln(x)}{\tan(x)} = \lim_{x\to0^+}\frac x{\sin(x)} \times \lim_{x\to0^+}\cos(x) \times \lim_{x\to0^+}\ln(x)[/tex]

The first two limits exist and are equal to 1, but the last limit is -∞.

I need help explaining, this homeschool work so hard!! ​

Answers

Answer:

61

Step-by-step explanation:

(7 + 5) + 4 * 13 - 2

~Simplify using PEMDAS

12 + 4 * 13 - 2

12 + 52 - 3

64 - 3

61

Best of Luck~

PLSSSS HELPPPPPPPPPPPPP

Answers

I think it’s 5 but I’m not entirely sure tbh

Answer:

PB = 25

Step-by-step explanation:

P ___15cm______T____10cm______B

As shown above,

PB is a line segment and point T in it forming - PT = 15 and TB = 10

So,

PB = PT + TB

= 15 + 10

= 25 (Ans)

7/9+6/8+6/3=

I really need the answer

Answers

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.

1:

7/9+6 = 7/15

2:

8+6/3 = 14/3

3:

[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]

Then take that in chunks: 7/14 and 15/3.

7/14 = 1/2

15/3 = 5/1

Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].

1/5 = .2

2/3 ≈ .6667 so we'll keep writing it as 2/3

[tex]\frac{\frac{.2}{2}}{3}[/tex]

.2/2 = .1, so:

[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]

I used photo maths I 10/10 recommend it, it shows step by step and the final answer to ur question is 3 19/36 or we can write it in decimal form 3.527

If X= 9 and Y = 3, what is XY

Answers

Answer:

The most basic question I have ever seen lol

XY = 9*3 = 27

It is 27

XY means X*Y
3*9=27

Similarity and Congruence
Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.

Each pair of figures is similar. Find the value of the missing side (x).

Answers

9514 1404 393

Answer:

  3 in

Step-by-step explanation:

Ratios of corresponding sides are equal, so we have the proportion ...

  x/(5 in) = (6 in)/(10 in)

  x = (5 in)(6/10) = 3 in

The missing side (x) is 3 in.

Alguien me ayuda con esto?

Answers

Answer:

x=10

Step-by-step explanation:

10 a 8 son dos, entonces 14 ax es 4

Answer:

La explicación sería:

//////////////////////////

=> 9 * 2 + 4/2 = 20

=> 18 +2 =20

=> 20 =20

//////////////////////////

=> 5*2 + 8/2 = 14

=> 10 +4 =14

=> 14 =14

//////////////////////////

=> 3*2 + 10/2 = x

=> 6 + 5 = x

=> 11 = x

I need help with math please here is a photo

Answers

is there a graph for this question?

√5 • -4√20

PLEASE SHOW STEP BY STEP ON HOW YOU SOLVED THE EQUATION​

Answers

Answer:

-40

Step-by-step explanation:

[tex] \sqrt{5} \times - 4 \sqrt{20} [/tex]

Multiplication is commutative.

[tex] - 4 \sqrt{20} \times \sqrt{5} [/tex]

Apply Profuct Rule

[tex] - 4 \sqrt{100} [/tex]

Simplify sqr root of 100

[tex] - 4 \times 10 = - 40[/tex]

Hi ;-)

√5 · (-4√20) = -4√(5 · 20) =

= -4√100 = -4 · 10 = -40

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