3x + 10 = 4x +54. How did you get your answer?
Answer:
[tex]x=-44[/tex]
Step-by-step explanation:
[tex]3x+10=4x+54[/tex]
To solve for the variable [tex]x[/tex], start by subtracting [tex]3x[/tex] from both sides of the equation:
[tex]10=x+54[/tex]
Then, subtract [tex]54[/tex] from both sides of the equation:
[tex]-44=x[/tex]
Therefore, [tex]x=-44[/tex]
-
To check your work, simply substitute the solved value of [tex]x[/tex] into the initial equation:
[tex]3(-44)+10=4(-44)+54[/tex]
Multiply:
[tex]-132+10=-176+54[/tex]
Add:
[tex]-122=-122[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
Answer:
[tex] = > 3x + 10 = 4x + 54[/tex]
We need to get the x on the one side and the numbers on the other.
Subtract 3x from both sides:
[tex] = > 3x - 3x + 10 = 4x - 3x + 54[/tex]
[tex] = > 10 = x + 54[/tex]
Subtract 54 from both sides:
[tex] = > 10 - 54 = x + 54 - 54[/tex]
[tex] = > - 44 = x[/tex]
Thus,the value of x is -44.
For checking:
[tex] = > 3x + 10 = 4x + 54[/tex]
[tex] = > 3( - 44) + 10 = 4( - 44) + 54[/tex]
[tex] = > - 132 + 10 = - 176 + 54[/tex]
[tex] = > - 122 = - 122[/tex]
please help and show work
Answer:
The second one is rectangle.
It is because it have the following properties;
1) Opposite side are equal.
2) Opposite angles are equal.
3) Diagonals bisect each other.
4) Diagonals are equal.
5) Each angle is a right angle (90⁰).
I hope this will help you
4-141.
Find the perimeter and area of each figure.
a.
15 km
b.
inch
4 km 4
7 km
10 km
inch
Answer:
Step-by-step explanation:
Can someone please help me? I need to get 10 of these right and I don’t understand them
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
If you tell me all the right answers I will mark you brainliest!!
Answer:
11 is natural, real, integer and whole number.
1% is irrational and real, integer.
√25 = 5 hence it's natural, real, integer and whole
√50 is rational and real, integer.
1.333… is natural, real and integer
2.3×10^5 is natural, real, integer and whole number.
plzzzzzzzzzzzzzzzzzzzz
Answer:
[tex]8x^{2} - 15y^{2} + xy[/tex]
Step-by-step explanation: If you need an explanation let me know, I'd rather not waste time if you're just going to plug the answer in.
After the 4th half life how much of the sample is left if the mass is 100g.
Answer:
[tex]\huge\boxed{\sf 6.25 \ g}[/tex]
Step-by-step explanation:
After every Half life , Half of the mass is left.
After 1st Half life = 100 g / 2 = 50 g
After 2nd Half life = 50 / 2 = 25 g
After 3rd Half life = 25 / 2 = 12.5 g
After 4th Half life = 12.5 / 2 = 6.25 g
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
How do you write 872.8% as a decimal?
Answer:
.82
Step-by-step explanation:
Answer:
8.728
Step-by-step explanation:
"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.
Through which point must the graph of y = 4 logs (x) + 2 pass?
A. (5,6)
B. (5,8)
C. (5, 12)
D. (5, 40)
The graph of y = 4 logs (x) + 2 passes through the point (5,8).
The given equation of the graph is y = 4 logs (x) + 2
We have to find the point which passes through the graph
The equation y = 4 logs (x) + 2 can be rewritten as y = log(x⁴) + 2. Substituting x = 5 into the equation gives us y = log (5⁴) + 2
= log (625) + 2
= 8.
Therefore, the graph of y = 4 logs (x) + 2 passes through the point (5,8).
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TRUE OR FALSE
becomes zero for x=1
PLEASE HELP
need a quick answer please
A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a "B" in the art class, an "A" in the history class, a "C" in the science class, a "B" in the mathematics class, and an "A" in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)
A. 2.7
B. 2.8
C. 3.0
D. 3.1
E. 3.2
Will mark Brainliest!
Answer:
C. 3.0Step-by-step explanation:
Lets calculate the points:
Art - 2 hrs - B (3) ⇒ 2*3 = 6 pointsHistory - 3 hrs - A (4) ⇒ 3*4 = 12 pointsScience - 4 hrs - C (2) ⇒ 4*2 = 8 pointsMath - 3 hrs - B (3) ⇒ 3*3 = 9 pointsLab - 1 hr - A (4) ⇒ 1*4 = 4 pointsTotals
Total hours = 13 Total points = 39GPA = total points/ total hours
GPA = 39/13 = 3.0Correct option is C
I need the answer to this please thank you
Answer:
[tex]m(\widehat{WXZ})[/tex] = 160°
Step-by-step explanation:
By angle sum postulate,
m∠WYX + m∠XYZ = m∠WYZ
m∠WYZ = 50° + 30°
= 80°
Since, inscribes angle (∠WYZ) = [tex]\frac{1}{2}\times (\text{Intercepted arc WXZ})[/tex]
80° = [tex]\frac{1}{2}(\widehat{WXZ})[/tex]
[tex]m(\widehat{WXZ})[/tex] = 160°
1. A baseball coach graphs some data and finds the line of
best fit. The equation for the line of best fit is
y=0.32x - 20.51, where x is the number of times at bat and
y is the number of hits.
How many hits should he expect from a player who is at bat
175 times?
A) 35 hits
B) 49 hits
C) 609 hits
D) 62 hits
A
B
D
answer for points what is the last problem answer
Answer:
8. 95
Step-by-step explanation:
The last equation 37 + 58 can be best solved by solving it vertically. Put 37 and 58 side to side vertically to add easier on a piece of paper. The first digit answer is 15, carry the 1 to the second digit and add it with 3 and 5. Your final answer should be 95.
The property that you should use is the Associative Property where you can switch the numbers to put the larger number on top and the smaller number on the bottom. No matter how it is changed, you should get the right answer.
Answer:
8. 95
Step-by-step explanation:
What is (-4/7) - (-10/7)=?
Answer: 6/7
Step-by-step explanation:
Answer:
0.85714285714 rounded to 0.86
Step-by-step explanation:
(-4/7) = -0.57<- rounded up
(-10/7)=-1.43<-rounded up
0.57- -1.43=0.86
what is the solution for this
Answer:
(-2,4)
Step-by-step explanation:
Since this is a system of equations, just look where the two lines intersect.
In this case, the intersecting pair is: (-2, 4)
Translate the figure 7 units right and 3 units down.
Plot all of the points of the translated figure.
A science experiment involves periodically measuring the number of mild cells present on a piece of bread at the start to the experiment
Answer:
A
Step-by-step explanation:
tiook
Please help, I have no clue what I’m doing
Answer: x= negative 6
if thats what its asking for
Step-by-step explanation:
What is the best conclusion that can be drawn from these statements?
All squares are rectangles. All rectangles have four 90° angles.
All squares have four 90 degree angles.
All squares are rectangles.
The angles of a square will add to 540 degrees.
All rectangles are squares.
Answer:
It will option A all square r rectangle
What is the length of the missing leg?
Answer:
it all depends on the length of the adjoining leg
Step-by-step explanation:
factorise: X squared - 16
Answer: x² - 16
= x² - 4²
= (x+4)(x- 4)
Step-by-step explanation:
You know it has to be x squared so in the first part of your brackets it would be an x.... (x )(x ). Then you have to find out what times what is 16... in this case it is 4... (x 4)(x 4). Next you have to know the rules regarding negatives and positive... if you know that, you should be able to work out that it would be (x-4)(x+4)... you can check this using the foil method (x times x, x times 4, -4 times x and -4 times 4) or smiley face method... hope this helpedFactorised means put into brackets...
Over the past 15 years, a business owner has made at most $4,000 in profits each week .Which graph represents the business owner's possible profits each week ?
Answer:
3,120,000
there are 52 weeks in a year:
52 x 15 = 780
Now multiply the salary to it:
780 x 4,000 = 3,120,000
I think this is correct
Answer:
d
Step-by-step explanation:
I got it correct so it must be correct
What is the opposite of -1/2
Answer: 1/2
Step-by-step explanation:
Just remove the negative
Tyler bought snacks for his team's practice. He bought a bag of oranges for $1.94 and a 24-pack of juice bottles. The total cost before tax was $43.22. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Equation:
Answer: X =
Answer:
Step-by-step explanation:
hblhhbbhbbhubulvt
Equation: 43.22 = 24x + 1.94
43.22 = 24x + 1.94
-1.94 -1.94
41.28 = 24x
/24 /24
1.72 = x
Answer: $1.72 per bottle of juice
Solving One Step Equations. SHOW YOUR WORK
14b = -56 solve for b
Answer:
b=-4
Step-by-step explanation:
basically divide both sides by 14 which equal -4
The solution to the equation 14b = -56 is b = -4.
To solve the equation 14b = -56 for b, we can divide both sides of the equation by 14 to isolate the variable b.
14b ÷ 14 = -56 ÷ 14
Simplifying:
b = -56 ÷ 14
b = -4
Therefore, the solution to the equation 14b = -56 is b = -4.
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What is the value if 5/6 ÷ 3/4
Answer:
5/8
Step-by-step explanation:
my bad
Answer:
Step-by-step explanation:
i got 1.11111111111 hope it helps ( give me brainliest please)
Need help with this question!
A stake is to be driven into the ground 38 feet from the base of a pole, as shown in the diagram below. A wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 52º. What will be the length of the wire from the stake to the top of the pole, to the nearest hundredth of a foot.
Answer:
you have to do 52 divided by cos of 38 to get the answer of 65.99ft
Identify the number of solutions for the equation below: