Mathematics High School

The sum of two numbers is 28 and their difference is 4. What are the numbers?

Answers

Answer 1

The sum of the two numbers would be 12 and 16. 12+16=28 and 16-12=4

Answer 2

x+y=28----(a)
x-y=4----(b)
(a)-(b)
2y=24
y=24/2=12----(c)
use (c) in (b)
x=4+12=16

All the best

Related Questions

What is the point slope form?

(8,9) m = 0.5

Please show work.

Answers

(8,9) m = 0.5
point slope form
y - y1 = m (x - x1)
so
equation

y - 9 = 0.5(x - 8)

answer

y - 9 = 0.5(x - 8)

If an experiment consists of five outcomes with p(o1) = 0.10, p(o2) = 0.20, p(o3) = 0.30, p(o4) = 0.25, then p(o5) is

Answers

.p(o5) is equal to 0.15. This can be determined because p(o5)= 1- [p(o1)+ p(o2)+ p(o3)+ p(o4)], which is equivalent to p(o5)= 1- (0.10+0.20+0.30+0.25), which gives you a p(o5) value of 0.15.

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent. Given: ∠C, ∠F are rt. ∠'s; ∠B = ∠E; BC = EF

Answers

Angle Angle Side (or AAS)

Answer:

Angle Side Angle

Step-by-step explanation:

Here, the following triangles are congruent by using Angle Side Angle

∠c=∠F(90°) (Angle)

BC=EF (Given) (Side)

∠B=∠E (Given) (Angle)

By using Angle Side Angle criteria, we can say that

Both the triangles are congruent

Hence, Both triangles are congruent by using ASA criteria.

4 puzzle time how can you share five apples with seven friends answers

Answers

Part 1:

Identify the algebraic properties of equality that are represented.
1.

Given

If [tex]a=b[/tex], then [tex]a\cdot c=b\cdot c, c\neq0[/tex]

The algebraic property of equality that is represented by the above expression is the multiplication property.

2.

Given

If [tex]a=b[/tex], then [tex]a- c=b- c,[/tex]

The algebraic property of equality that is represented by the above expression is the subtraction property.

3.

Given

If a = b, then a can be substituted for b (or b for a) in any equation or expression.
The algebraic property of equality that is represented by the above expression is the substitution property.

4.

Given

If [tex]a=b[/tex], then [tex] \frac{a}{c} = \frac{b}{c},\ c\neq0[/tex].

The algebraic property of equality that is represented by the above expression is the division property.

5.

Given

If [tex]a=b[/tex], then [tex]a+ c=b+ c,[/tex]

The algebraic property of equality that is represented by the above expression is the addition property.

6.

Given

sum: [tex]a(b+c)=ab+ac[/tex],
difference: [tex]a(b-c)=ab-ac[/tex]

The algebraic property of equality that is represented by the above expression is the distributive property.

7.

Given

If a = b and b = c, then a = c. If AB = CD and CD = EF, then AB = EF. If m<A = m<B and m<B = m<C, then m<A = m<C.

The algebraic property of equality that are represented by the above expression is the transitive property.

8.

Given

If a = b, then b = a. If AB = CD, then CD = AB. If m<A = m<B, then m<B = m<A.
The algebraic property of equality that are represented by the above expression is the symmetric property.

9.

Given

a = a, AB = AB, m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.

10.

Given

If x = y, then 6x = 6y.
The algebraic property of equality that are represented by the above expression is the multiplication property.

11.

Given

If AB = BC, then AB - 2 = BC - 2.
The algebraic property of equality that are represented by the above expression is the subtraction property.

12.

Given

m<A = m<A

The algebraic property of equality that are represented by the above expression is the refrexive property.

13.

Given

If AB = CD and CD = 6, then AB = 6
The algebraic property of equality that are represented by the above expression is the transitive property.

14.

Given

If a = b, then b = a.
The algebraic property of equality that are represented by the above expression is the symmetric property.

How can you decompose the composite figure to determine its area?

Answers

Answer with explanation:

In order to find the area of the given figure we have to decompose into geometrical figures whose area could be easily calculated by the use of the mathematical formulas we know.

Hence, we decompose it into:

1 semicircle. 2 trapezoids with one common base. 1 rectangle.

The decomposition could be seen with the help of diagram attached to the answer.

Answer:

as two semicircles and a rectangle

Step-by-step explanation:

The new shanghai restaurant offers a choice of three appetizers, five choices of soups, and ten choices of entrees for its lunch special. how many different complete lunches can be ordered from the restaurant's lunch special menu?

Answers

3! possible ways for appetizers
5! possible ways for soups
10! entrees for lunch special

Therefore,

3! 5! 10! ways of ordering the lunch special menu.

Hope I helped :)

ΔRST is dilated about the origin, O, to create ΔR'S'T'. Point R is located at (3, 9), and point R' is located at (1.2, 3.6). Which scale factor was used to perform the dilation?

Answers

a scale factor is a number that u multiply one set of points by to get to the other set...

(3,9)....to (1.2,3.6)

so what are we gonna multiply 3 by to get to 1.2 ? And what are we gonna multiply 9 by to get to 3.6 ? It should be the same number

3x = 1.2 9x = 3.6
x = 1.2/3 x = 3.6 / 9
x = 0.4 x = 0.4

so 3 * 0.4 = 1.2
and 9 * 0.4 = 3.6

so ur scale factor is 0.4 or 2/5

Answer:

a scale factor is a number that u multiply one set of points by to get to the other set

Step-by-step explanation:

35% of it is 5.5% of 56

Answers

Hello there,
35% x 5.5%= 0.01925
0.01925 x 56= 1.078
On the side note: The word of means multiply

Hope this helps

~Top

Answer:

8.8

Step-by-step explanation:

the difference between the measures of two complementary angles is 46. determine the measures of the two angles?

Answers

Let the angle be x . Then its complement is 90-x. So we have

x - (90- x) = 46
x - 90 + x = 46
2x = 46 + 90 = 136
x = 136/2 = 68

x = 68 degrees and its complement = 22 degrees

Final answer:

To determine the measures of two complementary angles with a 46-degree difference, you can set up an equation and solve for the angles, resulting in approximately 22.0 degrees and 68.0 degrees.

Explanation:

Complementary angles are two angles that add up to 90 degrees. If the difference between them is 46 degrees, we can set up an equation to find their measures:

Let one angle be x. The other angle would then be 90 - x.

Given that the difference between them is 46, we have the equation: 90 - x - x = 46.

Solving the equation, the angles are approximately 22.0 degrees and 68.0 degrees.

Which phrase describes the variable expression y-5

Answers

to translate y - 5 into words:

a number y is decreased by 5

i hope this helps!!

On Day 16, Ebony deposited $100 into her account. On each day after Day 16, segment 5, Ebony made a deposit, and those deposits were equal to each other.

Answers

is that supposed to be the question?

Step-by-step explanation:

The estimated end total is $300 and the beginning was $0, so after day 16, she'll deposit $40 each day.

Find the GCF of the following monomials -50m^4n^7 and 40m^2 n^10

Answers

Hello,

The GCF is -10m^2 n^7.

Answer:

the correct answer for this problem is,

the GCF is,

10m^2 n^7

Let's say we have a circle with a radius of 17 inches. What is the circumference of this circle in inches? Round your answer to the hundredths place.

54.78

86.23

91.1

106.81

Answers

106.81 is the answer, the formula for this problem is 2*3.14*r, r = radius = 17

MATH HELP WILL MARK BRAINLIEST !!!!!!!!

Answers

1. sum of a number plus 6 is 7 times the number:

n+6 = 7n

2. qoutent of a number and 5 is 8

n/5 =8

n = 5*8

n = 40

3. distance = speed times time

so d = 55t

You commute to work by riding a bus each day for $4.25 round trip. a weekly pass is available for $19.75 a week. if you work 5 days a week, how much can you save by buying the pass? $2.00 $1.75 $1.50 $1.25

Answers

you would save $2 because $4.25 times 5 = 21.75 - 19.75 = $2

Answer:

it's $1.50

Step-by-step explanation:

please help
What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125

Answers

Answer:

x = 21∠1 = 120°

Step-by-step explanation:

The two interior same-side angles are supplementary, so ...

... (5x +15)° +(3x -3)° = 180°

... 8x +12 = 180 . . . . . . . . . divide by °, collect terms

... 8x = 168 . . . . . . . . . . . . subtract 12

... x = 21 . . . . . . . . . . . . . . . divide by 8

Obtuse ∠1 has the same measure as its corresponding angle, (5x+15)°, so is ...

... ∠1 = (5·21 +15)° = 120°

SIMPLIFY THIS EQUATION!

a³ b¹⁰
------
a² b²

Answers

a³b¹⁰
-------
a²b²

a³ - a² AND b¹⁰ - b²

Simplify.

a AND b⁸

So, our answer is ab⁸

~Hope I helped!~

Which number sentence shows equivalent fractions?

A.

B.

C.

D.

PLZ help WILL RATE HELP AND TRY TO ANSWER ITS TRICKY

Answers

there is no number sentence

simplify i^31 (click photo for options)

Answers

-i is the answer hope thats helps

The required solution of i^31 is -i.

What is simplification?

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now the given expression is,

i^31

This can be written as,

= i^(30+1)

or, we can express it as,

= i^30 . i

or, we can write,

= (i^2)^15 . i

Since i^2 = -1

Therefore we can write,

= (-1)^15 . i

Again since, (-1)^15 = -1

Thus,

i^31 = -i

which is the required solution of the given expression.

Thus, the required solution of i^31 is -i.

To learn more about simplification:

https://brainly.com/question/1280518

#SPJ2

Draw the graph of a rational function that is increasing for x<-4 and decreasing for x>-4 on the coordinate plane below

Answers

For a function to be increasing, as x goes up (to the right) the y value must go up at the same time (meaning that as the function goes to the right, the line goes up). Conversely, when a function is decreasing, as x goes up the y value must go down (as the line goes to the right, the line goes down). We can draw a line at x=-4 (one to the right of -5) and to the left of it, we can draw a line going up as x goes to the right and to the right of x=-4 we can draw a line going down. If you'd like a real example, take |1/(x+4)|. This works due to that since we know that 1/x decreases when x<0 (and is negative) and decreases when x>0, we can get the absolute value of it to make the side left of x=0 flip-flop to make it go up instead of down. In addition, the (x+4) makes the turning point at x=-4 due to that if we plug in x=-4, x+4=0

Solve for p. P/3 -2=1

Answers

P= 9

First, you add over the constant (-2) so you are left with p/3 = 3

Finally, you multiply the 3 to isolate p and your final answer is p=9

p = 9
is that right?
hope it helpful...

PLEASE HELP ASAP I AM TIMED

What is the area of a triangle whose vertices are J(−2, 1) , K(4, 3) , and L(−2, −5) ?
_______units²

Answers

Steps:

1. Graph all three points on the xy-plane.

2. Connect each point to form a triangle.

3. Use the formula A = (1/2)(base)(height)

What is 4x-7xy+9xy-7pq

Answers

Answer: " 4x + 2xy - 7pq " .
___________________________________
Explanation:
___________________________________
Given: " 4x - 7xy + 9xy - 7pq " ; Simplify the expression;
___________________________________
Combine the "like terms:
___________________________________
-7xy + 9xy = 2xy ;
___________________________________
Now, rerewrite the expression, substituting the "-7xy + 9xy"; with " + 2xy" ;
___________________________________
→ " 4x + 2xy - 7pq " .
___________________________________

A triangle has two sides of lengths 4 and 5? What is the value of the third side?

Answers

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side.
You can write this as a formula: A + B > x, where x is the third side.

A + B > x
4 + 5 > x
9 > x or x < 9

A + x > B
4 + x > 5
x > 1

B + x > A
5 + x > 4
x > -1

Given two side lengths 4 and 5, the third side must be between 1 and 9.

I need help in math!

Answers

You need to divide for the first one

$350 Salary a week + $4,500 Sales times 4.5%= $202.50 + $350= $552.50
$786 Salary per week + $14,420 Sales times 3.25% = $463.125+Salary ($786) = $$1,1249.13
$245 Salary a week +12 % in Sales of $8,958.33 = 1074.9996 + 245 in Salary = 1,319.9996 or $1,320

i need help with two math problems.

Question 1- Given the quadratic function f(x)=x^2+1, find the value of (2). Make sure to show all work! The answer is f(2)=5 but i need to know how to show the work!

Question 2- Find f(3) when f(x)=x^2-3x^2+2. Make sure to show all your work!
The answer is f(3)=-16 I need to know how to show the work!

Answers

Answer:
___________________________________________
Question 1) : The answer is: " f(2) = 5 " .
___________________________________________
Given the quadratic function:
___________________________________________
" f(x) = x² + 1 " ;
___________________________________________
FInd the value of: " f(2) " ; that is, when "x = 2" ; what is the resulting value?

So, replace all values of "x" in the function with "2" ; and solve to find the "output" ;

f(2) = (2)² + 1 = (2 * 2) + 1 = 4 + 1 = 5 .

The answer: f(2) = 5 .
_____________________________________
Question 2):
_____________________________________
Given: " f(x) = x² − 3x² + 2 " ; Find: "f(3)" ; that is, when "x = 3" ; what is the resulting value?

So; replace all values of "x" in the function with "3" ; and solve to find the "output" ;

f(3) = (3)² − 3(3²) + 2 ;

= 9 − (3)(9) + 2 ;

= 9 − 27 + 2 ;

= (9 − 27) + 2 ;

= - 18 + 2 ;

= -16 .
_____________________________________
The answer is:   f(3) = - 16 .
_____________________________________
Hope these explanations ar of some help.

Which inequality is equivalent to [tex]3+ \frac{4}{x} \geq \frac{x+2}{x} [/tex] ?

A [tex] \frac{2x+2}{x} \geq 0[/tex]
B [tex] \frac{2x+6}{x} \geq 0[/tex]
C[tex] \frac{-x+5}{x} \geq 0[/tex]
D[tex] \frac{-x+9}{x} \geq 0[/tex]

Please show work and explain. I legitimately want to understand how to solve a question like this. Thank you!

Answers

First, take all expressions to one side of the inequality:

[tex]\displaystyle{ 3+\frac{4}{x}- \frac{x+2}{x} \geq 0 [/tex].

Multiply 3 by [tex]\displaystyle{ \frac{x}{x} [/tex] to write it as a fraction with denominator equal to the other expressions

[tex]\displaystyle{ \frac{3x}{x}+\frac{4}{x}- \frac{x+2}{x} \geq 0 [/tex].

Since all three expressions have equal denominator, we collect them into one rational expression as follows:

[tex]\displaystyle{ \frac{3x+4-x-2}{x} [/tex], which is equal to [tex]\displaystyle{ \frac{2x+2}{x} [/tex].

Thus the inequality is [tex]\displaystyle{ \frac{2x+2}{x} \geq 0[/tex].

Answer: A

Polygons ABCD and A′B′C′D′ are shown on the coordinate grid:

What set of transformations is performed on ABCD to form A′B′C′D′?

Answers

reflection is that what your looking 4

In a 3-digit number, the hundreds digit is three more than the units digit, and the tens digit is twice the hundreds digit. If the sum of the digits is 13, find the three digits. Find the number.

Answers

481 4 is 3 greater than 1 by 3, 4*2=8 ans 4+8+1=13

A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. based on the collected data, the least-squares regression line is y x ˆ = + 10.53 3.41 , where x is the number of degrees fahrenheit by which the temperature exceeds 50°. give a sentence that describes the meaning of the slope of the least-squares regression line

Answers

Final answer:

The slope of 3.41 in the least-squares regression line y = 10.53 + 3.41x indicates that for every one degree Fahrenheit increase in temperature above 50°, the number of cricket chirps per minute is expected to increase by an average of 3.41 chirps.

Explanation:

The slope of the least-squares regression line in the relationship between the number of chirps per minute for crickets (y) and temperature is 3.41. This number represents the average increase in the number of chirp per minute for every degree Fahrenheit that the temperature is above 50°. Therefore, if the temperature increases by one degree Fahrenheit, the expected number of cricket chirps per minute increases by an average of 3.41 chirps.

The slope of the least-squares regression line, which is 3.41, indicates that for every degree Fahrenheit the temperature exceeds 50°, the number of chirps per minute for crickets increases by 3.41 chirps.

In a linear regression equation of the form y = a + bx, the slope (b) represents the change in the dependent variable (y) for a one-unit change in the independent variable (x).

In this context, the slope (b) is 3.41, which means that for each additional degree Fahrenheit above 50°, the model predicts an increase of 3.41 chirps per minute by the crickets.

The intercept of the regression line is 10.53, which represents the baseline number of chirps per minute when the temperature is exactly 50°F.

The complete question is:

A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. Based on the collected data, the least-squares regression line is yˆ = 10.53 + 3.41x, where x is the number of degrees Fahrenheit by which the temperature exceeds 50°. Give a sentence that describes the meaning of the slope of the least-squares regression line.

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