Step (1)
[tex](6w - 7) + (3x + 8) = 142[/tex]
[tex]6w + 3x - 7 + 8 = 142[/tex]
[tex]6w + 3x + 1 = 142[/tex]
Subtract sides -1
[tex]6w + 3x + 1 - 1 = 142 - 1[/tex]
[tex]6w + 3x = 141[/tex]
Divided sides by 3
[tex] \frac{6}{3}w + \frac{3}{3}x = \frac{141}{3} \\ [/tex]
[tex]2w + x = 47[/tex]
I call above equation (( Ω ))
_________________________________
Step (2)
[tex]180 - 142 = 38[/tex]
We have :
[tex](6w - 7) + 38 = (10w - 9)[/tex]
[tex]6w - 7 + 38 = 10w - 9[/tex]
[tex]6w + 31 = 10w - 9[/tex]
Subtract sides -6w
[tex]6w - 6w + 31 = 10w - 6w - 9 \\ [/tex]
[tex]31 = 4w - 9[/tex]
Plus sides 9
[tex]31 + 9 = 4w - 9 + 9[/tex]
[tex]40 = 4w[/tex]
Divided sides by 4
[tex] \frac{40}{4} = \frac{4}{4}w \\ [/tex]
[tex]w = 10[/tex]
_________________________________
Do u remember (( Ω )) ?
Of course u do...
[tex]2w + x = 47[/tex]
[tex]2(10) + x = 47[/tex]
[tex]20 + x = 47[/tex]
Subtract sides -20
[tex]20 - 20 + x = 47 - 20[/tex]
[tex]x = 47 - 20[/tex]
[tex]x = 27[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
.
Gus and Mark collect baseball cards and they keep them in plastic sleeves. Gus has 5 plastic sleeves that are full of cards. Mark has 2 sleeves full of cards and 6 additional cards.
If Gus and Mark have the same number of cards, which equation could be used to find the number of cards in one sleeve?
A.) s + 5 = s + 2 + 6
B.) 5s = 2s - 6
C.) 5s + 6 = 2s
D.) 5s = 2s + 6
I'm so confused on this
Okay so they would be vertical angles so (7x-20)=(4x+16)
so the answer is x=12
hope this helps if you can brainliest please
Consider the two functions f(x) and g(x), where f(x) = 2x and g(x) is graphed below.
Graph of g(x)
Compare the rate of change of the two functions on the interval 2 ≤ x ≤ 3.
The rate of change of the function g(x) is greater than f(x).
The rate of change of the function f(x) is greater than g(x).
The rate of change of the function f(x) and g(x) are the same.
The slope of the graph is 2 .
So the rate of change of g(x) is 2, just like f(x).
In fact, g(x) is also = 2x, just like f(x) .
Which of the following equations has both -7−7minus, 7 and 777 as possible values of fff?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
f^2 = 49f
2
=49f, squared, equals, 49
(Choice B)
B
f^3 = 343f
3
=343f, cubed, equals, 343
(Choice C)
C
None of the above
Answer:
f^2=49
Step-by-step explanation:
use the pythagorean theorem
Answer:
x equals 10
Step-by-step explanation:
this is a version of the 3,4,5 rule which says that if the sides of a right triangle are 3 and 4, the hypotenuse is 5. Since 6 and 8 could be simplified to 3 and 4 respectively, you could make the hypotenuse (x) 10, which has the same relationship to 5 (division by 2). Hope this helps!
Answer:
x = 10
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Solve 2(1 - x) > 2x.
a.) O x < 0.5
b.) Ox> 2
c.) Ox<2
d.) O x > 0.5
Answer:
a) Ox<0.5 wjsjdhdjdjdj
Answer:
a.)x < 0.5
Step-by-step explanation:
2(1 - x) > 2x
2 - 2x > 2x
+2x +2x
2 > 4x
/4 /4
0.5 > x
Olivia needs 54 licks for every 3 lollipops she eats.
Complete the table using equivalent ratios.
Answer:
sorry...
Step-by-step explanation:
lol
a. 64
b.4
c.8
d.23
[ I NEED HELP :(( ]
You can find this by using the pythagorean theorem.
The Pythagorean Theorem states that the squares of the legs add up to the square of the hypotenuse.
The hypotenuse is the longest side, which is opposite the right angle.
The other 2 sides are the legs.
Here, the hypotenuse is BC which is 17.
AC is one leg. We are trying to find the other leg.
So you set up the equation AB^2+ 15^2 = 17^2.
This simplifies to AB^2 + 225 = 289.
AB^2 = 64.
AB = 8.
3y-7x+7y+2x=
Please help it would be great
The distance traveled varies directly with the time spent in motion when speed is held constant.
If d represents the distance traveled and t represents time, which equation would represent this variation?
If you travel 150 miles in 4 hours, what is the constant of variation?
If you continue traveling at a constant speed, how long will it take to travel 200 miles? Round to the nearest tenth of
an hour.
about hours
Intro
Done
Answer:
16/3 or 5.3
Step-by-step explanation:
150 miles = 4 hours
Find how long it takes to travel 50 miles(GCF between 150 and 200)
150/3 = 4/3
50 miles = 1 1/3 hours: multiply by 4 to get 200 miles
50 x 4 = 4/3 x 4/1
200 = 16/3
16/3 hours or 5.3
What is 1/10 equal to
Answer:
in decimal form, it is 0.1 in percent form it is 10%
Step-by-step explanation:
Solve for x: (1 point)
-9/8, * x - 7=-25
Answer: x=16
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-9/8*x-7-(-25)=0
simplify 9/8
((0 - (9/8 • x)) - 7) - -25 = 0
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 8 as the denominator
7 = 7/1 = 7*8/8
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
-9x - 56 = -1 • (9x + 56)
Adding up the two equivalent fractions
(-9x-56) - (-25 • 8)/8 144 - 9x/8
144 - 9x = -9 • (x - 16)
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, multiply both sides of the equation by the denominator.
Here's how:
-9•(x-16)/8 • 8 = 0 • 8
Now, on the left hand side, the 8 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-9 • (x-16) = 0
Solve : x-16 = 0
Add 16 to both sides of the equation :
x = 16
Answer: x=16
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-9/8*x-7-(-25)=0
simplify 9/8
((0 - (9/8 • x)) - 7) - -25 = 0
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 8 as the denominator
7 = 7/1 = 7*8/8
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
-9x - 56 = -1 • (9x + 56)
Adding up the two equivalent fractions
(-9x-56) - (-25 • 8)/8 144 - 9x/8
144 - 9x = -9 • (x - 16)
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, multiply both sides of the equation by the denominator.
Here's how:
-9•(x-16)/8 • 8 = 0 • 8
Now, on the left hand side, the 8 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-9 • (x-16) = 0
Solve : x-16 = 0
Add 16 to both sides of the equation :
x = 16
Multiply out the brackets:
(m + 2) (m - 2)
Answer:
(m+2)(m-2)=m^2-4
Step-by-step explanation:
(m+2)(m-2)=m(m-2)+2(m-2)
=m^2-2m+2m-4
=m^2-4
I need help ASAP will mark brainliest
Answer:
1 and 2
Step-by-step explanation:
the square root of 210 is 1.44
Is A the point or coordinate in A(3,5)
Answer:
The point
Step-by-step explanation:
I hope this helps. Have a good day!
∵Brainliest for the first right answer ∵
Answer:
D. 0.42 divided by 7
Hope this helps! Please mark Brainliest!
Answer:
D. is correct
Step-by-step explanation:
I took the test
Noah ordered 16 cupcakes and paid $40. Jada ordered 52 cupcakes and paid $104. Did they pay the same rate?
Marta purchased screws and nails at a hardware store. She paid $0.10 for each screw and $0.05 for each nail. She purchased 15 screws but did not count the number of nails she purchased. She paid a total of $5.20 for the screws and nails. How many nails did Marta purchase?
Answer:
104
Step-by-step explanation:
Based on the total amount spent, we can infer that the number of nails Marta purchased was 74 nails.
Marta purchased 15 screws which cost $0.10 each. The cost is therefore:
= 15 x 0.10
= $1.50
The amount spent on nails is:
= 5.20 - 1.50
= $3.70
If each nail cost $0.05, the total nails bought is:
= 3.70 / 0.05
= 74 nails
In conclusion, 74 nails were purchased.
Find out more at https://brainly.com/question/18245725.
How are mountains and plateaus alike?
Answer:
It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.
Step-by-step explanation:
Which of the following are true statements? Select all that apply.
All integers are rational numbers.
Repeating decimals are not rational numbers.
StartFraction 715 over negative 14 EndFractionis not a rational number.
Terminating decimals are rational numbers.
0.278254….. is a terminating decimal, therefore it is a rational number.
Answer:
A . All integers are rational numbers.
D . Terminating decimals are rational numbers
E 0.278254….. is a terminating decimal, therefore it is a rational number.
Step-by-step explanation:
Please mark brainiest please
− 9/ 5 v = 10 plz hurrryryryryryryryryry
Answer: v=559
Step-by-step explanation:Solve for V
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
V=−509
Decimal Form:
V=−5.¯5
Mixed Number Form:
V=−559
Hope this helps!!!!!!
The sum of three consecutive numbers is 519. What are the three numbers?
Answer:
El primer número llamaremos = x
El segundo número llamaremos = x + 1
El tercer número llamaremos = x + 2
Calculamos
x + (x + 1) + (x + 2) = 519
x + x + 1 + x + 2 = 519
x + x + x + 1 + 2 = 519
3x + 3 = 519
3x = 519 - 3
3x = 516
x = 516/3
x = 172
El valor de "x" lo reemplazamos en: (x + 1 y x + 2)
x + 1 = 172 + 1 = 173
x + 2 = 172 + 2 = 174
Respuesta.
Los números son: 172, 173 y 174
172 + 173 + 174 = 519
-11x-6+20x=57
plz show work
Answer:
X = 7
Step-by-step explanation:
-11x - 6 + 20x = 57 (Collect like terms)
9x - 6 = 57 (Add 6 on both sides)
9x = 63 (Divide by 9 on both sides)
x = 7
(PLUG IN)
-11(7) -6 + 20(7) = 57
-77 - 6 + 140 = 57
-83 + 140 = 57
57 = 57 √
√-90=ai√b what is the value of a and b?
Answer:
what is this topic in math?
Help needed ASAP will give you BRAINLIEST and 5 stars rate
Option D, 8 dollars per hour
320/40= 8
If g(x) = x2 – 4, then what is g(-4)?
0 -20
0 -8
O 12
O 20
Answer:
g(- 4) = 12
Step-by-step explanation:
To evaluate g(- 4), substitute x = - 4 into g(x), that is
g(- 4) = (- 4)² - 4 = 16 - 4 = 12
What do you call a relation where each element in the domain is related to only one value in the range by some rules?
Greg and Marti are racing remote control cars. The race starts at t=0 and the car’s distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.
The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.
Answer:
Marti
Step-by-step explanation:
Marti is farthest because it says that greg's car travels 13 feet but after two seconds he was at 30.7 away from the start line and marti was 2 feet in front but martyi goes faster because her car goes way more faster every second: (16.5 > 13) so: Greg is 30.7 + 13 x 10 = 160.7 | Marti: 2 + 16.5 x 10 = 167, So Marti wins the race and should be crowned the winner.
ANSWER>> WHAT IS THE DOMAIN OF THE FUNCTION GRAPHED?<
Answer:A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The domain of a parabola is always x er, unless it's been inverted then it's the opposite.
Question 9 of 10
Maryam says that 287.04 rounded to 2 significant figures will be 28. Do you agree with Maryam? Explain your answer.
Answer: I do not agree because if the number in the ones place is 5 or more then the number in front of it should go up one, therefore the answer would be 29 instead of 28
Step-by-step explanation: