Answer:
x=10, x= -10
Step-by-step explanation:
basically all absolute value does is make the end result of everything inside of it positive. So 10 and -10 both would be equal to 10 when you use absolute value on them
The solutions to the equation |x| = 10 are x = 10 and x = -10.
We have,
When x is positive:
If x is positive, the absolute value of x is equal to x itself.
x = 10.
When x is negative:
If x is negative, the absolute value of x is equal to the negation of x.
-x = 10.
To solve -x = 10, we multiply both sides by -1 to isolate x:
-x = 10
Multiply by -1:
x = -10
Therefore,
The solutions to the equation |x| = 10 are x = 10 and x = -10.
Learn more about expressions here:
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what integer represents Sahan withdrawing $250
Answer:
-$250
Step-by-step explanation:
Your Welcome;)
Help me please! its geometry
Answer:
PQ = 14 MQ = 7 PM = 7
Step-by-step explanation:
PQ= PM + MQ = PMQ
If M is the MIDpoint it dissects PQ in half so that means PM = MQ
PQ= 5x-3+11-2x
PQ = 3x + 8
5x - 3 = 11 -2x
+2x +2x
7x - 3 = 11
+3 +3
7x = 14
7x / 7 = 14/7
x = 2
Plug in 2 for X
PQ = 3x + 8 = 3 x 2 +8 = 6 + 8 = 14
PM = 5x -3 + 5 x 2 - 3 = 10 - 3 = 7
MQ = 11 - 2x = 11 - 2 x 2 = 11 - 4 = 7
If the ratio of two complementary angle is 2:3, find them
HOPE THIS IS THE ANSWER FOR YOUR QUESTION
Answer:
2+3=5 90/5=18
Step-by-step explanation:
Let one angle be 2x,,,and other angle be 3x
2x +3x = 90,,,,,,,def of complement
5x = 90
x=18
angles are 2x = 36, and 3x = 54
check,,,,,36 +54 = 90 ,,,,,,ok
36 /54 = 2/3,,,,,ok
I hope that helped!! ^^
PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! 6 cm are cut from a 24 cm board. What is the percent decrease in length?
Answer:
75%
Step-by-step explanation:
24/6=4
1/4=6
4*6=24
24-6=18
3/4 of 24=18
3/4=75%
The percentage decrease in length of the board is 25%
From the given statement we can deduce the following:
original length of the board = 24 cmnew length after cutting 6 cm = 24 cm - 6 cm = 18 cmThe change in the length of the board is calculated as:
Change in length = original length - new lengthChange in length = 24 cm - 18 cmChange in length = 6 cmThe percentage decrease in the length is calculated as;
[tex]Percentage \ decrease = \frac{change \ in \ length }{original \ length} \times 100\%\\\\Percentage \ decrease = \frac{6}{24} \times 100\%\\\\Percentage \ decrease = 25\%[/tex]
Thus, the percentage decrease in length of the board is 25%
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what is 7.63x19pls help
Answer:
144.97
Step-by-step explanation:
Use long multiplication to evaluate.
Please help me on this: it’s 10 points pls help me
Answer:
10^4 ---------------- 10,000
10^-4* 10^2 ------- 1/10^2 = 0.01
10^-4 ---------------- 1/10^4 = 0.0001
10^-4/10^2 -------- 1/10^6 = 0.000001
factor 10x^3-12x^2+5x-6
Answer:
(5x-6)(2x²+1)
Step-by-step explanation:
10x³-12x²+5x-6
2x²(5x-6)+5x-6
(5x-6)(2x²+1)
WILL MARK BRAINLIEST! Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each bracelet: • The price of the necklace was $27. • The bracelets were both the same price.
How do I solve this I get so confused on fractions if you can solve can I have an explanation
What would be the anwser
ANSWER QUICK!!
Sabrina wants to write 2/6 as a decimal. Which method should she use?
Divide 6 by 2
Divide 2 by 6
Multiply 6 by 2
Multiply 2 by 6
Jasper is 43 years old and his daughter Freya is 7. In n-years Jasper will be four times as old as Freya is at that point. Set up and solve an equation for n. Then state both Jasper and Freya’s ages after n-years.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Jasper's age = 43 years
Freya's age = 7
In n years, jasper will be 4 times as old as Freya
Let jasper = j
Freya = f
After n years :
j + n = 4 * f
J + n = 4 ( f + n)
43 + n = 4(4 + n)
43 + n = 16 + 4n
43 - 16 = 4n - n
27 = 3n
n = 27/3
n = 9
Jasper's age after n years :
43 + 9 = 52
Freya's age after n years :
4 + 9 = 13
Given two linear equations: y=-2x+5 and y=1/2x-2. Select all or one that apply.
The length of one leg 20 inches and the hypotenuse is 52 inches
Answer:
48 inches
Step-by-step explanation:
Remember the Pythagorean theorem, where a and b are legs and c is the hypotenuse
a^2 + b^2 = c^2
a= 20
c = 52
now substitute in the given values
20^2 + b^2 = 52^2
400 + b^2 = 2704
solve using inverse operations
400 + b^2 = 2704
-400 -400
b^2 = 2304
b= sqrt(2304)
b=48
Which of the following could be the number shown on the number line?
O A. 15
OB. 8
C. V11
O D. 17
GIVEN:MN is an angle bisector of ∠JMK
Prove:m∠JMN=1/2m∠JMK
Answer:
Step-by-step explanation:
Statements Reasons
1. MN is an angle bisector of ∠JMK 1. Given
2. ∠JMN ≅ ∠NMK 2. Definition of an angle bisector
3. m∠JMN ≅ m∠NMK 3. Definition of congruent angles
4. m∠JMN + m∠NMK = m∠JMK 4. Angle addition postulate
5. m∠JMN + m∠JMN = m∠JMK 5. Substitution property
6. 2(m∠JMN) = m∠JMK 6. Addition property of equality
7. m∠JMN = [tex]\frac{1}{2}(m\angle JMK)[/tex] 7. Division property of equality
Which one of these is a rational mumber
A square of 23,23,24 or 25
Answer:
All are rational numbers
Step-by-step explanation:
A square of 23,23,24 or 25 all are rational numbers.
25 is the rational number
Write the sentence as an equation.
258 is equal to 19 reduced by C
Answer:
258÷c=19
what?
The sum of three consecutive odd numbers is -27. What is the largest of the three numbers
An odd number can be written as [tex]2n+1[/tex] where n is an integer.
If [tex]2n+1[/tex] is our first odd number, the next consecutive odd number will be 2 more than that. The third one will be 4 more.
If we only add 1, we'd get an even number, so we need to add 2.
2. What are the expressions for our numbers?First number:
[tex]2n+1[/tex]
Second number (2 more than the first number):
[tex]2n+1+2=2n+3[/tex]
Third number (4 more than the first number):
[tex]2n+1+4 = 2n+5[/tex]
3. Adding our numbers togetherThe sum is these 3 numbers added together. Let's do that now:
[tex](2n+1) + (2n+3) + (2n+5)[/tex]
[tex]2n + 2n + 2n + 1 + 3 + 5\\6n + 9[/tex]
4. Solving the equationThe sum is, thus, [tex]6n+9[/tex]. We know this sum is equal to -27:
[tex]6n+9 = -27[/tex]
Subtract 9 from both sides:
[tex]6n = -36[/tex]
Divide both sides by 6:
[tex]n = -6[/tex]
5. Finding our numbersNow that we know n, we can find our 3 numbers.
For the first number, we can use its expression in section 2.
[tex]2n +1 = 2*(-6)+1 = -12+1 = -11[/tex]
For the second number, we can just use the fact that it's 2 more than our first number, -11. If you're wondering why this is, review section 1.
[tex]-11 + 2 = -9[/tex]
Same for our third number, it's 4 more than our first number or 2 more than our 2nd number:
[tex]-11 + 4 = -7\\or\\-9 + 2 = -7[/tex]
6. So the largest one is...?Our three consecutive numbers are -11, -9, and -7. As we can see, the largest of these three is -7.
Answer: -7
How many times will 1/5 go into 37
A. 7 2/5
B. 2 1/5
C. 185
D. 1/185
Answer:
A
Step-by-step explanation:
Using the inverse operation of division which is multiplication I can do 37×1/5 to get 7.4 or 7 2/5.
MARK ME AS BRAINLIEST
Answer:
C 185
Step-by-step explanation:
Well you need 5 1/5th to make on whole, so all we need to do is 5×37 is 185
a+c=r-d covert the equation to solve for a plz answer asap!!!!
Answer:
[tex]a= r- d - c[/tex]
Step-by-step explanation:
Converting the equation to solve for a really just means getting a alone on one side of the equation.
[tex]a + c = r - d[/tex]
To get a alone on the left, we can subtract c from both sides:
[tex]a+ c = r -d\\a = r - d - c[/tex] (Since c - c = 0, c will disappear from the left side.)
Answer: [tex]a= r- d - c[/tex]
Answer:
[tex] \longmapsto \: a + c = r - d \\ (a + c) - c = (r - d) - c \\ \boxed{a = r - d - c}✓[/tex]
a = (r - d - c) is the right answer.solve the equation 5(x-3) = 11 -3 (x-2)
Answer:
x = 4
Step-by-step explanation:
5 multiplied by x and 5 multiplied by -3
5x - 15 = 11 -3(x - 2)
-3 multiplied by x and -3 multiplied by -2
5x - 15 = 11 - 3x + 6
Add 15 to both sides
5x = 26 - 3x + 6
Add 3x to both sides
8x = 26 + 6
Add 26 + 6
8x = 32
Divide 32 by 8
x = 4
4.5 inches = has cm
8.89
10.16
11.43
12.7
Find two consecutive numbers whose sum is 115
Answer:
57 and 58Step-by-step explanation:
n - the first number
n+1 - the number consecutive to x
n + n+1 = 115
-1 -1
2n = 114
÷2 ÷2
n = 57
n+1 = 57 + 1 = 58
Check: 57 + 58 = 115
help pleaseeee . i’m not good
The picture above should help
what is the answer to 4 (-5.4)?
Answer:
-21.6
Step-by-step explanation:
When a number, like 4 in your equation, is next to parentheses without a sign (ex. plus or minus) it means to multiply. 4(-5.4) is equal to 4x5.14 which is -21.6
Abby is adopting kittens from the pet store. if there are 18 kittens, how many ways can she choose 2 kittens?
Answer:
I think its 32
what the difference of twice a number and 3 is -21
Answer:
Step-by-step explanation:
2x - 3 = - 21 Add 3
2x = -21 + 3 Combine the right
2x = -18 Divide by 2
x = - 18/2
x = -9
22. Linda is a salesperson for Spooner's Cleaning Service, which cleans office buildings. She
receives a 14% commission for every office that signs a contract for the cleaning service. Last week
she received $1,233.60 in commissions. What was the total value of the cleaning contracts she sold,
rounded to the nearest dollar?
Answer:
The total value of the cleaning contracts sold is $8,811
Step-by-step explanation:
Here, we are interested in calculating the value of the cleaning contracts sold.
Let the total value of the cleaning contracts sold be $x
Mathematically;
14% of x = 1233.60
14/100 * x = 1233.60
14x = 100 * 1233.60
x = 123360/14
x = 8,811.43
Which is $8,811 to the nearest dollars
Resuelve el siguiente ejercicio:
Este inicio de ciclo escolar, la maestra no nos pidió útiles escolares, pero para
realizar mis tareas necesitaba algunas cosas que había extraviado en estas
vacaciones así que me dirigí a lapapelería. Por el momento solo compré 1 lápiz en
$3.50, dos plumas a $7.90 y una libreta a $12.60. ¿Cuánto dinero voy a pagar?, si
pague con un billete de $100 ¿Cuánto recibiré de cambio?
Answer:
Cuanto dinero voy a pagar 24 $
Cuanto recibiré de cambio 76 $
Step-by-step explanation:
Mis compras son:
1 lápiz 3,50 $
2 plumas 7,90 $
1Libreta 12,60 $
Lo que quiere decir que compre:
3,50 + 7,90 + 12,60 = 24 $
Si cancelo mis compras con un billete de 100 $ me tienen que dar vuelto por:
100 $ - 24 $ = 76 $
