the sum of two numbers is -4. the difference between those numbers is -38. what are the numbers?

Answers

Answer 1

Answer:

The numbers are [tex]-21[/tex] and [tex]17[/tex].

Step-by-step explanation:

If we let the numbers be [tex]x[/tex] and [tex]y[/tex], we can write the following system of equations to solve for them:

[tex]x+y=-4[/tex] (since the sum - which indicates addition - of the two numbers is [tex]-4[/tex])

[tex]x-y=-38[/tex] (since the difference - which indicates subtraction - of the two numbers is [tex]-38[/tex])

Solving for [tex]x[/tex] and [tex]y[/tex], we get:

[tex]x+y=-4\\x-y=-38[/tex]

[tex]2x=-42[/tex] (Add the two equations together)

[tex]x=-21[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient and simplify)

[tex]-21+y=-4[/tex] (Substitute [tex]x=-21[/tex] into one of the equations, I chose the first one but it doesn't matter which one you choose)

[tex]y=17[/tex] (Add [tex]21[/tex] to both sides of the equation to isolate [tex]y[/tex] and simplify)

Therefore, the numbers are [tex]-21[/tex] and [tex]17[/tex]. Hope this helps!


Related Questions

Kandice can bake 48 cakes in 6 days. How many cakes can she make in 4 days?

Answers

48 divided by 6= 8
8 x 4 = 32
She can bake 32 cakes

Answer:

32 cakes

Step-by-step explanation:

Divide 48 by 6 = 8

8 x 4 = 32

An orchard has 8 times many apple trees as pear trees. There are 981 trees in all. How many more apple trees than pear trees does have it?

Answers

Answer:

there are 763 more apple trees than pear trees

Step-by-step explanation:

so, first we write the words into equations.

8P = A because there are 8x apples per x pear, so to make it equal we must multiply pears by 8. P+A = 981. replacing "A" in the second equation with "8P" to get P+8P=981=9P divide both sides by 9 to get 109 pear trees. knowing this we can get 981-109=A=872 apple trees. the problem asks for A-P  which we can replace the numbers to get (872)-(109)=763 more trees

There are 763 more Apple trees than Pear trees.

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 of pear trees be x.

An orchard has 8 times many apple trees as pear trees.

So, Apple trees = 8x

Now, total trees = 981

x+ 8x= 981

9x= 981

x= 981/9

x = 109

and, Apple trees = 8 (108)= 872.

So, there are 763 more Apple trees than Pear trees.

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You go to a restaurant with a friend. You purchase the items shown in the table below. There is a 7% sales tax and you wish to leave a 20% tip. You also have a coupon for 15% off the meal. What will you pay for the meal?

Answers

The total money paid for a meal of $100 with 7% sales tax, 20% tip and a coupon for 15% off is $112.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the total cost of the meal shown in the table cost $100, hence:

Tax = 7% of sales = 0.07 * 100 = $7

Tip = 20% of sales = 0.2 * 100 = $20

Coupon = 15% = 0.15 * 100 = $15

Amount paid for meal = total cost + tax + tip - coupon = 100 + 7 + 20 - 15 = $112

The total money paid for a meal of $100 with 7% sales tax, 20% tip and a coupon for 15% off is $112.

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John is 12 years older than Miles. Five years ago, John was two times as old as Miles was back then. How old are John and Miles now?

Answers

Answer:

John is 29, Myles is 17.

Step-by-step explanation:

Answer:

same thing as other guy ty

Step-by-step explanation:

If Joe had 2 apples and his friend gave him 5 more how many apples would Joe have?

Answers

Answer: Joe would have 7 apples.

Step-by-step explanation:

Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.

2 + 5 = 7

Joe would have 7 apples.

Solve for x: 1 over 3 (2x − 8) = 4. (10 points)
2
6
10
10 over 3

Answers

The answer is 10 if you see my work in the picture

Answer:

10

Step-by-step explanation:

i got an 100 on my quiz

Please Help i need the awnsers

Answers

Answer:

the answer to your question is 1

Is it 67° because u take the x =113° so just plugged it in .

The ratio of red jellybeans to purple jellybeans is 9:5. What fraction of the jellybeans are red?
Please the first person who does it gets brainliest!

Answers

the answer is 4/5 i don't know


Find the hypotenuse of a right triangle with side lengths of 7 and 3. Round your
answer to one decimal place.

Answers

Answer:

7.616

Step-by-step explanation:

=7.6

A commuter train travels 49 miles in 45 minutes. What is its speed in miles per​ hour?

Answers

Answer:

65.3 km/hr

Step-by-step explanation:

49/45 x 60 = 65.3 km/hr

Answer:

★ The answer would be 0.02 MILES PER HOUR

Step-by-step explanation:

Hope you have a great day :)

What is £108.72 rounded to the nearest pound?

Answers

Answer:

£109

Step-by-step explanation:

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

Answer: is, £109, rounded to the nearest pound.

What is round off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, given that,

£108.72 has to be rounded off.

we know,

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

hence, Answer: is, £109, rounded to the nearest pound.

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Do the side lengths 4, 5, and 10 form a triangle? Select the correct answer and
reasoning

Answers

Answer:

Step-by-step explanation:

Since the longest side is more than the sum of the other two sides this is a triangle

10>4+5

Answer:

No

Step-by-step explanation:

These three side lengths could never connect to form a triangle no matter where you put the sides, they won't be able to reach each other.

This is shown in the picture:

ASSESSMENT
Find the missing term:
1. 3:5= N: 15
2. N: 12-8: 24
3. 15: n= 60: 20
4. 9: 5= 27: n
5. 112: 24= N: 336​

Answers

I think this is what ur looking for?
1. 9
2. 4
3. 5
4. 15
5. 1568

Solve the following:
a/5+3=8

Answers

Answer:

a=25

Step-by-step explanation:

Answer:

a=25

Step-by-step explanation:

Solve for a by simplifying both sides of the equation, then isolating the variable

Elsa bought n packs of pencils each pack has 12 pencils write an equation to represent the total number of pencils p that Elsa bought ​

Answers

Answer:p=12n

Step-by-step explanation:

12 pencils a pack(n) total is p

Your total is p and 12 pencils a pack so n is the number of packs, you have to multiply the number of packs by 12 so it’ll be 12n and p is you total so p=12n

What is the value of 8 in 8564

Answers

The value of 8 is in Thousands Place.

Answer:

the value of 8 would be 8000

Step-by-step explanation:

in math when you use expanded form the equation would be 8000+500+60+4= 8564 so the value of 8 would be 8000 in the thousands section

Which expression is equivalent to 6x+7-12*2-(3 to the power 2 +3)-x

Answers

Step-by-step explanation:

Questions about equivalent expressions usually feature both simple expressions and complex expressions. To check which complex expression is equivalent to the simple expression:

Distribute any coefficients: a(bx\pm c)=abx\pm aca(bx±c)=abx±aca, left parenthesis, b, x, plus minus, c, right parenthesis, equals, a, b, x, plus minus, a, c.

Combine any like terms on each side of the equation: xxx-terms with xxx-terms and constants with constants.

Arrange the terms in the same order, usually xxx-term before constants.

If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Example

How do we solve for unknown coefficients?

Some questions will present us with an equation with algebraic expressions on both sides. On one side, there will be an unknown coeffient, and the question will ask us to find its value.

For the equation to be true for all values of the variable, the two expressions on each side of the equation must be equivalent. For example, if ax+b=cx+dax+b=cx+da, x, plus, b, equals, c, x, plus, d for all values of xxx, then:

aaa must equal ccc.

bbb must equal ddd.

To find the value of unknown coefficients:

Distribute any coefficients on each side of the equation.

Combine any like terms on each side of the equation.

Set the coefficients on each side of the equation equal to each other.

Solve for the unknown coefficient.

Example

How do we rearrange formulas?

Formulas are equations that contain 222 or more variables; they describe relationships and help us solve problems in geometry, physics, etc.

Since a formula contains multiple variables, sometimes we're interested in writing a specific variable in terms of the others. For example, the formula for the area, AAA, for a rectangle with length lll and width www is A=lwA=lwA, equals, l, w. It's easy to calculate AAA using the formula if we know lll and www. However, if we know AAA and www and want to calculate lll, the formula that best helps us with that is an equation in which lll is in terms of AAA and www, or l=\dfrac{A}{w}l=

w

A

l, equals, start fraction, A, divided by, w, end fraction.

Just as we can add, subtract, multiply, and divide constants, we can do so with variables. To isolate a specific variable, perform the same operations on both sides of the equation until the variable is isolated. The new equation is equivalent to the original equation.

The value of equivalent expression is,

⇒ 5x - 29

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.

Given that;

The expression is,

⇒ 6x + 7 - 12 × 2 - (3² + 3) - x

Now, We can simplify as;

⇒ 6x + 7 - 12 × 2 - (3² + 3) - x

⇒ 6x + 7 - 24 - (9 + 3) - x

⇒ 6x + 7 - 24 - 12 - x

⇒ 5x - 29

Thus,  The value of equivalent expression is,

⇒ 5x - 29

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Find the probability that x = 2

Answers

Answer:

Step-by-step explanation:

If 24 is increased to 60. Find the percent increase.

Answers

Answer: 150%



Explaination: Convert the fraction to a decimal, then multiply by
100
Answer: 36 correct me if I’m wrong

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = -8x + 0

Step-by-step explanation:

If you multiply the x values by -8, you get the y value

1/8 times 4/4 pls hurry

Answers

Answer:

its .125

edit: .125 = 1/8th

Step-by-step explanation:

4/4 is 1 times .125=1/8th

Answer :
4/32
Simplified :
1/8

Given the sequence 2, 3, 4, 5, ...., where x = 0, 1, 2, 3, ...., what is the first term in the sequence?
2
3
4
5

Answers

Answer:4

Step-by-step explanation:

Answer:

gnkñmbklkjv nh m knvgiffifgyjbnbn

gjekk ñunvfjm hglvfhmngbk

Find the value of x to the nearest tenth
34
59°
х

Answers

Answer:

66.0is your answer.

cos59=34/x

x=34/cos59=66.01

the answer is D 39.7.

answer A 66 is WRONG

Evaluate 4x-6y when x=-3 y=-1

Answers

Answer:

First we substitute

4(-3) - 6(-1)

-7  -6

-13

Step-by-step explanation:

The answer is -6 jjggcre

The wheels on an adult size 4-wheeler has a radius of 14 inches. What is the distance the wheel will travel in one full rotation?

Answers

Distance cover in full rotation is 87.92 inches

Full rotation distance:

Given that;

Radius of wheel = 14 inches

Find:

Distance cover in full rotation

Computation:

Distance cover in full rotation = Circumference of wheel

Distance cover in full rotation = 2πr

Distance cover in full rotation = 2(3.14)(14)

Distance cover in full rotation = (6.28)(14)

Distance cover in full rotation = 87.92 inches

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how do I Convert Mixed Numbers to Improper Fractions

Answers

Answer:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator

Then write the result on top of the denominator.

Step-by-step explanation:    

Example: Convert 3 2/5  to an improper fraction.

Multiply the whole number part by the denominator:

3 × 5 = 15

Add that to the numerator:

15 + 2 = 17

Then write that result above the denominator:

17/5

Compara las unidades de volumen, rodea la opción correcta y contesta. I 19
Camilo y Amara harán un mural. Cuentan con varios botes de pintura Galon
de diferentes colores, pero las etiquetas difieren en las unidades
que representan su contenido.
Unidad de
del Sister
que equiv
a 3.79 lit
2 galones
V2 galón
2.5 litros
2 litros
1 1/4 litros
V2 litro
¿Cuál de las siguientes opciones representa medio galón?
a) 18.95 litros
b) 1.895 litros
c) 1 895 litros
b09
¿Cuál equivale a dos galones?
SUSU BUDIS
b) 7.58 litros
c) 75.8 litros
a) 758 litros​

Answers

Answer:

hola jugas free mi id si juegas 542233308

Need help and explain please!!

Answers

Answer:

[tex]x=-4\text{ and } x=3[/tex]

Step-by-step explanation:

We are given the second derivative:

[tex]g''(x)=(x-3)^2(x+4)(x-6)[/tex]

And we want to find its inflection points.

To do so, we will first determine possible inflection points. These occur whenever g''(x) = 0 or is undefined.

Next, we will test values for the intervals. Inflection points occur if and only if the sign changes before and after the point.

So first, finding the zeros, we see that:

[tex]0=(x-3)^2(x+4)(x-6)\Rightarrow x=-4, 3, 6[/tex]

So, we can draw the following number-line:

<----(-4)--------------(3)----(6)---->

Now, we will test values for the intervals x < -4, -4 < x < 3, 3 < x < 6, and x > 6.

Testing for x < -4, we can use -5. So:

[tex]g^\prime^\prime(-5)=(-5-3)^2(-5+4)(-5-6)=704>0[/tex]

Since we acquired a positive result, g(x) is concave up for x < -4.

For -4 < x < 3, we can use 0. So:

[tex]g^\prime^\prime(0)=(0-3)^2(0+4)(0-6)=-216<0[/tex]

Since we acquired a negative result, g(x) is concave down for -4 < x < 3.

And since the sign changed before and after the possible inflection point at x = -4, x = -4 is indeed an inflection point.

For 3 < x < 6, we can use 4. So:

[tex]g^\prime^\prime(4)=(4-3)^2(4+4)(4-6)=-16<0[/tex]

Since we acquired a negative result, g(x) is concave down for 3 < x < 6.

Since the sign didn't change before and after the possible inflection point at x = 3 (it stayed negative both times), x = -3 is not a inflection point.

And finally, for x > 6, we can use 7. So:

[tex]g^\prime^\prime(7)=(7-3)^2(7+4)(7-6)=176>0[/tex]

So, g(x) is concave up for x > 6.

And since we changed signs before and after the inflection point at x = 6, x = 6 is indeed an inflection point.

Look at the figure below:

An image of a right triangle is shown with an angle labeled y.

If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

cos y° = 6 divided by b
cos y° = 6a
cos y° = 6b
cos y° = b divided by 6

Answers

Answer:

The third one is the answer

Building B; it is around 16.35 feet taller than building A

Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

cos y° = 6 divided by b cos y° = 6a cos

If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?

24 units

Using the understanding of trigonometric ratios, cos y = b/6.

What are trigonometric ratios?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

tan y = a/b

sin y = a/6

tan y = sin y/ cos y

cos y = sin y /tan y = (a/6)/(a/b) = b/6

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What is the simplest radical form of the expression?

Answers

Answer:

x^2y^2 3y^2

Step-by-step explanation:

its a or the first choice

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