Step-by-step explanation:
because we can also find out the value of x in second equation like this
3x=21
x=21/3
x=7
Answer:
We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Step-by-step explanation:
Given the first equation
3x-5 = 16solving the equation
3x-5 = 16
adding 5 to both sides
3x-5+5 = 16+5
3x = 21 ∵ 3x = 21 is the 2nd equation
divide bothe sides by 3
3x/3 = 21/3
x = 7
Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.
In other words, whatever the value of x we will get, it will satisfy both equations.
Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Verification:
Consider the 2nd equation
3x = 21
Put x = 7
3(7) = 21
21 = 21
Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
| 5t-1 |=6
Show all work
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
First method: Multiply the equation for bouquet A by , and add it to the equation for bouquet C. Then multiply the equation for bouquet B by , and add it to the equation for bouquet C. Second method: Rewrite the equation for bouquet B by subtracting from both sides of the equation. Then divide both sides by , and substitute the expression for in the equations for bouquets A and C.
Answer:
looking at anwser now
Step-by-step explanation:
aight can you guys help, it’s a one-step equation and i’m smol brain, and can you give me a step-by-step cuz i forgot how to do it, thank youuuuu<3
Answer:
16
Step-by-step explanation:
The variable a minus 10 equals 6. If you substituted a for 16, and subtracted 10, you'd get 6. Substituting the rest of the numbers and subtracting 10 wouldn't give you 6.
Gary Sanchez struck out 112 times in 350 at bats. What PERCENTAGE of his at-bats were strike outs?
Given :
Gary Sanchez struck out 112 times in 350 at bats.
To Find :
Percentage of his at-bats were strike outs.
Solution :
We know, percentage hits is given by :
[tex]Percentage = \dfrac{\text{Number of time bats were strike out}}{\text{Total number of bats}}\times 100 \ \%[/tex]
Putting all given values in above equation, we get :
[tex]Percentage = \dfrac{112}{350}\times 100\ \%\\\\Percentage = 32\ \%[/tex]
Hence, this is the required solution.
The costs of cookies at store A shown in the graph. The cost y for x cookies at store B is represented by the equation y = 0.30x. Which of the following statements is true?
Answer:
H
Step-by-step explanation:
I dont understand ratios
im too
good luck
im lucky cat
Rewrite the function by completing the square.
f(x) = x^2- 2x - 95
Answer:(x-1)^2 -96
Step-by-step explanation:
Not sure if this is correct but I included the workings out
which ordered pair is a solution for y=x+10
Answer:
Step-by-step explanation:
Do you have the selection of answers?
In AWXY, X = 1.2 cm, ZX=45° and Y=108°. Find the length of w, to the nearest 10th
Answer:
The length of w is 0.8 cm
Step-by-step explanation:
In Δ WXY
x is the opposite side to ∠X
w is the opposite side to ∠W
y is the opposite side to ∠Y
∵ m∠X = 45°
∵ m∠Y = 108
∵ The sum of the measures of the interior angle of a triangle is 180°
∴ 45 + 108 + m∠W = 180
→ Add the like terms in the left side
∵ 153 + m∠W = 180
→ Subtract 153 from both sides
∴ m∠W = 27°
Now we can use the sine rule to find the length of w
∵ [tex]\frac{w}{sin(W)}[/tex] = [tex]\frac{x}{sin(X)}[/tex] = [tex]\frac{y}{sin(Y)}[/tex]
→ Use the first 2 ratios to find w
∵ x = 1.2 cm
∵ [tex]\frac{w}{sin(27)}[/tex] = [tex]\frac{1.2}{sin(45)}[/tex]
→ By using cross multiplication
∴ w × sin(45) = 1.2 × sin(27)
∴ w sin(45) = 1.2 sin(27)
→ Divide both sides by sin(45)
∴ w = 0.7704474263
→ Round it to the nearest tenth
∴ w = 0.8 cm
∴ The length of w is 0.8 cm
Please help due in 15 min
Solve the equation. Round the answer to the nearest tenth.
5*6^3n=20
Step-by-step explanation:
5×6'3n=20
30'3n=20
3n=20-30
3n/3= -10/3
n= -3
What is the multiplicative identity of -12/13
A.-13/12
B.1
C.0
D12/13
Answer:
The number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Step-by-step explanation:
We know that when a number let say 'n' get multiplied by '1', it remains unchanged.
i.e.
n × 1 = n1 × n = nThe number '1' is called the 'multiplicative identity' of a number 'n' because it does not change the number 'n' after getting multiplied by it.
Given the number
-12/13
Multiply the number '-12/13' by '1'.
i.e.
-12/13 × 1 = -12/13
1 × -12/13 = -12/13
Thus, the number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Select the correct similarity statement
Answer:
what is the question and choices?
Step-by-step explanation:
then maybe I can help
Gab is able to serve 9 serving of penne pasta to 16 people. How many servings does he have to make for a party of 80 people
Help pleasseeee
If f(x)=3x^2-7x find f(-2)
Answer:
f(-2) = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x² - 7x
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2)² - 7(-2)Exponents: f(-2) = 3(4) - 7(-2)Multiply: f(-2) = 12 + 14Add: f(-2) = 262. Find m21.
39°
1
30°
860
Answer:
∠ 1 = 69°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle, thus
∠ 1 = 39° + 30° = 69°
select the correct answer consider these functions f(x)=3x-7 g(x)=X +1/x-1 what is the value of f(g(3))
Answer:
Me and my massive brain, among other massive things of mine, believe it to be -1
Step-by-step explanation:
The value of the function F(g(x) will be equal to (7 / 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given functions are:-
f(x)=3x-7 g(x)= x +(1/x-1)The function F(g(x) is written as :-
F(g(x) = 3 [ x + ( 1 / ( x-1 )) -7 ]
F(g(x) = 3 [ (3 + (1/2) - 7 ]
F(g(x) = 3 (7 / 2 ) -7
F(g(x) = ( 21/2) - 7
F(g(x) = ( 21-14 ) ( 2 )
F(g(x) = ( 7/2 )
Therefore the value of the function F(g(x) will be equal to (7 / 2).
To know more about function follow
https://brainly.com/question/25638609
#SPJ2
a group of biologists is surveying the mice population in a forest. the equation n=75^t gives the total number of mice,n, t years after the survey began. what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Complete question is;
A group of biologists is surveying the mice population in a forest. The equation n=75⋅3t gives the total number of mice, n, t years since the survey began.
what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Answer:
3 is the common ratio
Step-by-step explanation:
We are given that the equation; n = 75⋅3^(t) gives the total number of mice, n, t years since the survey began.
Normally, formula when calculating population growth takes an exponential function;
n = n_o(e^(rt))
Or in this our case, it can be written as;
n = n_o((e^(r))^(t))
Comparing this with n = 75⋅3^(t), we can see that e^(r) = 3
Where r is the growth rate.
e is exponential constant.
Thus, we can say that 3 is the common ratio
Write the expression in simpleist form PLZ WILL GIIVE BRAINLIEST
1 + x + 6x -6
1. 28x - 5
2. 24x - 5
3. 7x - 5
4. 7x - 6
Answer:
3. 7x-5
Step-by-step explanation:
x+ 6x will make it 7x then -6 plus 1 will make it a -5 so t will be 7x-5.
Given vectors u = ⟨–3, 2⟩ and v = ⟨2, 1⟩, what is the measure of the angle between the vectors? 7.1° 60.3° 119.7° 172.9°
Answer:
C) 119.7°
Step-by-step explanation:
got it right on edge :)
what answee is it?? :))))
Step-by-step explanation:
The answer is C
We can easily eliminate B and D since Ms. Macdonald isn't starting with 3 rabbits.
We can also eliminate choice A, because 5 to the 3rd power isn't 15.
5 to the 3rd power is 125, therefore the choice is C
What is the y-component of vector v?
O y=-3
Oy=-4
O y=-20
O y=4
Answer:it’s the second one
Step-by-step explanation:
B) y = –4
It is indeed correct on Edge
What is the solution set of (x-2)(x-3) = 2?
O (1.4)
O (2, 3)
O [4,5)
Answer:
I think A but i'm not sure
Step-by-step explanation:
What is the degree of the polynomial below? it would be 4 right? hi everyone tho :)
x^3 + 2x – 3x^4 + 5 + 3x^2
Answer:
4
highest power is 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The area of Isaiah's bedroom is 13 1/3 square yards. His bed's area is 2 2/3 square yards. Find the unit rate and explain, in words, what it means in the context of this problem.
Answer:
5
Step-by-step explanation:
Area of bedroom = 13 1/3 square yards
Area of bed = 2 2/3 square yards
Unit Rate = Area of bedroom / Area of bed
Unit Rate = (40 / 3 ÷ 8/3)
Unit Rate = 5
math help pls!!
i have no clue how to do this
Answer:
I THINK it's A
Step-by-step explanation:
: A coffee shop spends $408 for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the order, how much will the total cost be
Step-by-step explanation:
A case of paper cups costs $408 / 17 = $24.
5 more cases => 22 cases of paper cups total.
Hence the total cost will be 22 * $24 = $528.
Answer:
$528
Step-by-step explanation:
We find the unit rate of the cost per case.
$408 / 17 cases = $24/case
Each case costs $24.
Adding 5 cases to 17 cases, the order will be for 22 cases.
22 cases * $24/case = $528
Answer: $528
If 2 bushels of corn weigh 112 lb, how much do 8.5 bushels of corn weigh?
Answer:
476 lb
Step-by-step explanation:
112/ 2 = 56
8.5 times 56
What is the value of a if a is equal to a×a×a=a+a+a
Answer:
a = ±sqrt(3)
Step-by-step explanation:
a×a×a=a+a+a
Simplifying each side
a^3 = 3a
Divide each side by a
a^3 /a = 3a/a
a^2 = 3
Take the square root of each side
sqrt(a^2) = ±sqrt(3)
a = ±sqrt(3)
Answer:
nope its not equal
a×a×a=a³, but a+a+a=3a
so, a³≠3a
Step-by-step explanation:
i hope this helps....can i have brainliest
MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!
Declan wants to mail 28 drawings to his Grandma. If he can fit 3 drawings in each envelope, how many envelopes will he need to mail all the drawings
Answer:
10 envelopes
Step-by-step explanation:
What we know:
- There are 3 drawings for each envelope
- There are 28 drawings in total
To find out the number of envelopes Declan would need, we divide 28 by 3 (check the picture attached).
28÷3=9 R1
28 divided by 3 gives us 9 with a remainder of 1, which means if Declan had 9 envelopes, he would be able to fit 3 drawings in each with 1 drawing left over. He would need a 10th envelope to use for the last drawing.
Therefore, Declan would need 10 envelopes to mail all the drawings to his grandma.
I hope this helps! Happy holidays :)