Step-by-step explanation:
The sum of ages of two friends is 13 years.
The product of their ages is 42.
Let the age of 1st friend and 2nd friend is x, y respectively.
1 st condition= The sum of ages of two friends is 13 yrs.
i.e x+y = 13........ (I)
2nd condition= The product of their ages is 42.
i.e X*y = 42........(ii)
From equation (I)
X+y = 13
or, X = 13-y........ (iii)
Putting the equation (iii) in equation (ii).
X*y= 42
(13-y) * y = 42
13y - y^2 = 42
[tex] {y}^{2} - 13y + 42 = 0[/tex]
[tex] {y}^{2} - (7 + 6)y + 42= 0[/tex]
[tex] {y}^{2} - 7y - 6y + 42 = 0[/tex]
[tex]y(y - 7) - 6(y - 7) = 0[/tex]
[tex](y - 6) (y - 7) = 0[/tex]
Either; y-6 = 0
y = 6
Or;
y-7=0
y = 7
Keeping the value of y as "7" in equation (ii)
x*y = 42
7x = 42
X = 42/7
Therefore, the value of X is 6.
Therefore, either 1st friend is 6 years and 2nd is 7 years.
Hope it helps...
Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?
Answer:
826
Step-by-step explanation:
82.6 x 10 to the power of 2 :
8.26 * 10^2
8.26 * (10 * 10)
8.26 * (100)
= 826
A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item that normally sells for $365.
Answer:
The discount is $109.50 and the sales price is $155.50
Step-by-step explanation:
30% of 365 is 109.5
356-109.5=155.5
help please.......
Answer:
According to my calculations, the correct answer is 1/16. Let me know if it comes as correct on your side. Thanks!
Step-by-step explanation:
what is the answer to the question?
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
Please hurry
In the figure, △EBA ≅ △EDC.
Triangles EBA and EDC are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.
Because CPCTC, which relationships are true?
Check all that apply.
Answer:
AE ≅ CE
∠BAE ≅ ∠DCE
Step-by-step explanation:
In the figure, △EBA ≅ △EDC.
Triangles E B A and E D C are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.
Because CPCTC, which relationships are true?
Check all that apply.
AE ≅ CE
∠BAE ≅ ∠DCE
∠CDE ≅ ∠BAE
AB ≅ BE
AC ≅ BD
EDGE2020
The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.
In the given information, △EBA ≅ △EDC.
Given that the Triangles EBA and EDC are connected at point E.
Also Angles A B E and E C D are right angles.
And Angle A E B and D E C are congruent.
The Sides B E and E D are congruent.
Hence,
AE ≅ CE
∠BAE ≅ ∠DCE
∠CDE ≅ ∠BAE
Now AB ≅ BE
AC ≅ BD
The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
Decide if the statement is giving you the x or y value of the function
Answer: 1a. f(2) is an x-value
1b. f(x) = 4 is a y-value
1c. f(-10) is an x-value
1d. m(x) = 64 is a y-value
2. f(4) = 17
3. x = 39
Step-by-step explanation: In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.
2.) f(x) = 2x + 9
f(4) = 2(4) + 9
f(4) = 8 + 9
f(4) = 17
3. f(x) = 5x -3
192 = 5x -3
192 + 3 = 5x
195 = 5x
39 = x
How to do this question -14=k-4
Answer: hope this helps .
Step-by-step explanation:
Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answer:
1/2 ÷ 3/10
1/2×10/3
5/3
1 2/3
1) option is correct
9514 1404 393
Answer:
1) 1 2/3
Step-by-step explanation:
The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.
1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3
If six people share 4 pints of lemonade equally, how much lemonade will each person receive?
Answer:
1.5
i think
Step-by-step explanation:
1/3x-2=16 solve the equation
Answer:
x=54
Step-by-step explanation:
1/3 x 54 = 18, 18 - 2 = 16
:)
Can someone pleaseeeeeeeeeee solve these for me
Answer:
16. (See the attachment)
Step-by-step explanation:
None
Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?
There are x-values which are paired with multiple y-values.
What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(4x - 5) - 4x + 1 = -6
Step 2: Solve for x
Distribute 3: 12x - 15 - 4x + 1 = -6Combine like terms: 8x - 14 = -6Isolate x term: 8x = 8Isolate x: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(4(1) - 5) - 4(1) + 1 = -6Multiply: 3(4 - 5) - 4 + 1 = -6Subtract: 3(-1) - 4 + 1 = -6Multiply: -3 - 4 + 1 = -6Subtract: -7 + 1 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
Pls answer need help asap!!
Чу- 8х + 5x - Зу
OOoO
im gonna assume that ur just simplifying this equation so here it is
y-3x
hope this helped!!
(5c^2 - 3c +9) - (2c^2 + 8c - 3)
I need to know this ASAP please! What is 2/3x + 1/3x?
Answer:
x
Step-by-step explanation:
2/3x+1/3x=x
Answer:
1
Step-by-step explanation:
2/3x + 1/3x
2+1/3x
3/3x
=x
one x value is 1
large pizza costs $8.95, plus $0.65 for additional toppin. Remi paid $10.90 for a large pizza. How many additional toppings did she get?
Answer: 3 toppings
Step-by-step explanation:
I used a calculator
Answer:
3 toppings
Step-by-step explanation:
Which rules of exponents will be used to evaluate this expression? Check all that apply.
A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent
Answer:
A: product of powers
B: quotient of powers
E: negative exponent
Step-by-step explanation:
Let's evaluate to see which several rules we would be applying in each step
[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]
[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)
[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]
[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)
[tex] (-8)^{-26} [/tex]
[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)
Thus, the rules of exponents we have applied to far are:
A: product of powers
B: quotient of powers
E: negative exponent
Answer:
product of powers
quotient of powers
negative exponent
which one is greater 3.406 or 3.501
Answer:
hi its 3.501
Step-by-step explanation:
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
0.96% or 1% to the nearest whole ( use the whole as for your answer )
Step-by-step explanation:
825-817 = 8
8 / 825 = 0.00969696....
x 100 = 0.96%
I need help thank you.
Answer:
x ≤ 1
Step-by-step explanation:
The graph goes in the left direction, meaning the inequality needs to be less than.
The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.
Answer:
B
Step-by-step explanation:
x ≤ 1
As thee circle at 1 is filled,you have to include 1 also
What is the slope of y=-4x-3y=−4x−3y, equals, minus, 4, x, minus, 3?
Answer:
-4
Step-by-step explanation:
Given:
[tex] y = -4x - 3 [/tex]
Required:
Slope of the line
SOLUTION:
The equation of the line, [tex] y = -4x - 3 [/tex], is given in the slope-intercept form, which is [tex] y = mx + b [/tex].
Where, m is the slope, and b is the y-intercept.
Therefore, the slope (m) of the line, [tex] y = -4x - 3 [/tex] is -4.
m = -4
Round 382,713 to the neartst ten thosand
Step-by-step explanation:
it would be 380,000 I believe
Answer:
382710
Step-by-step explanation:
5. Which expression is equivalent to x2 - 17 x - 60?
A book contains 120 pages and each page 35 lines how many pages will the book contains if every page has 24 lines
Answer:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answer:
its b
Step-by-step explanation:
i need points sorry
for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
9514 1404 393
Answer:
yes, SAS
Step-by-step explanation:
Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).
The ratios of short to long sides are ...
39/52 = (3·13)/(4·13) = 3/4
63/84 = (3·21)/(4·21) = 3/4
The sides are proportional and the angle between them is congruent, so ...
the triangles are similar by SAS.
HELP FAST PLEASE!!!
50 POINTS FOR WHOEVER ANSWERS FIRST!!!
What is the exponent in the expression 76?
a.6
b.7
c.13
d.42
Step-by-step explanation:
If you mean 7⁶, the exponent is 6. (A)
When written as a^m, a is a number and m is the exponent.
simplify the expression 3 √ 2 - 5 √ 18