Answer:
a = -11
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
10 + 4a = a - 23
Step 2: Solve for a
Subtract a on both sides: 10 + 3a = -23Isolate a term: 3a = -33Isolate a: a = -11Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: 10 + 4(-11) = -11 - 23Multiply: 10 - 44 = -11 - 23Subtract: -34 = -34Here we see that -34 does indeed equal -34.
∴ a = -11 is the solution to the equation.
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀
10 + 4a = a - 23 ______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀
Value of a = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
For solving such problems we must have a glance at BODMAS rule .
⠀⠀⠀⠀
Firstly , putting all the variables at left and putting all the constants at right
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4a - a = - 23 - 10
⠀⠀⠀⠀
Secondly , solving the variable side
⠀⠀⠀⠀
3a = -23 - 10
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Now , solving the constant side
⠀⠀⠀⠀
3a = - 33
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Thirdly isolating the variable
⠀⠀⠀⠀
a = -33 / 3
⠀⠀⠀⠀
a = - 11
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
Value of a is -11A $10,000 investment earns 8% interest per year. To the nearest dollar, how much will the investment be worth after 10 years?
Answer:
$18,000
Step-by-step explanation:
10,000+800 (the 8%) =made in 1 year
800 * 10= 8,000
132
Corresponding Angle
Vertical Angle
Alternate Interior Angle
Alternate Exterior Angle
need help ASAP , midterm
- 60 points
HELP ME ASAP PLEASE!!!!!
Answer:
88
Step-by-step explanation:
46= x° ( isosceles angles )
Now, taking all side of the triangle
46+46+y =180 ( sum of all side of triangle )
or, y= 180 -92
y = 88°
help meeee please math
1. You roll a blue number cube and a green númber cube. Find P a number greater than.2 on the blue cube and an odd number on the green cube.
Answer:
orange
Step-by-step explanation:
what is the circumcenter of a triangle with the coordinates of (-3,3) (-3,-2) (1,-2)
Answer:
We know that the circumcenter of a right triangle is at the center of the hypotenuse.
Thus, the circumcenter of a triangle is: C(-1, 1/2)
Please check the attached figure.
Step-by-step explanation:
Given the triangle with the coordinates of the vertices
(-3, 3)(-3, -2)(1, -2)First plot the points on the graph, as shown in the attached diagram.
It is clear from the attached diagram that it forms a right triangle.
We know that the circumcenter of a right triangle is at the center of the hypotenuse.From the attached diagram, it is clear that the center of the hypotenuse lies on C(-1, 1/2).
Thus, the circumcenter of a triangle is: C(-1, 1/2)
Please check the attached figure.
Jessica goes fishing with Benny. They catch 6 trout if they split up the trout how much will each get
Answer:
6/2 = 3
Step-by-step explanation:
there are 2 people, when you divide the 6 trout by the 2 people, they will each get 3 fishes
(01.01 LC)Which two charges have a sum of 0?
+6 charge and +6 charge
0-6 charge and -6 charge
+6 charge and 0 charge
+6 charge and -6 charge
Finding the volume. help lol!!
Answer:
5128 2/3 m³
Step-by-step explanation:
Cone Volume Formula: πr²h/3
3.14(14²) * 25/3
3.14(196) * 25/3
615.44 * 25/3
15386/25 * 25/3
GCD = 75
46158/75 * 625/75
46158/3 * 25/75
15386/3 * 25/25
15386/3
5128 2/3 m³ is the volume.
A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost $6 each and four-topping pizzas that cost $10 each. They order cheese pizzas and four-topping pizzas. Which expression represents the total cost of all of the pizzas they order?
Answer:
46
Step-by-step explanation:
Well $1o each than 10×4=40 and 40 +6=46
Answer:
Expression: 6c+10f
Math assignment mfmfnnfmdmdmd
The lateral surface area of the triangular prism is
Explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
LSA = (a + b + c)h
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here: a = 5, b = 10,c = 8 and: h = 16.5
Substituting these values in the formula, we have,
LSA = (5 + 10 + 8) 16.5
Simplifying, we get,
LSA = (23) 16.5
Multiplying, we get,
LSA = 379.5
Thus, the lateral surface area of the triangular prism is,
379.5sq. units
30. Solve the equation below.
2
X- - 5 = 7
PLEASE HELP !!
9514 1404 393
Answer:
x = 18
Step-by-step explanation:
Add the opposite of the constant (-5), and multiply by the inverse of the coefficient of x (2/3).
[tex]\dfrac{2}{3}x -5=7\\\\\dfrac{2}{3}x=12 \qquad\text{add 5}\\\\x=\dfrac{3}{2}\cdot 12 \qquad\text{multiply by $\dfrac{3}{2}$}\\\\ \boxed{x=18}[/tex]
Answer:
2/3x -5=7
x=18
Step-by-step explanation:
start by adding each side by 5
after doing so you should have
2/3x =12
multiply each side now my 3/2
the fractions should cancel out and leave x by itself
multiply (12)3/2
gives you 18.
x=18
There are exactly 18 liters of sports drink available to the tennis team. If each tennis player will be served 1/3 liters, how many players can be served?
Answer:
54
Step-by-step explanation:
it's so easy just do
18÷1/3=54 which is easir if you think it like 18×3=54
Answer:
54
Step-by-step explanation:
For every liter of sports drink, there is 3 players. You can use this problem to solve it y = 3x or now 54 = 3(18). Simply it is 3 * 18 is 54. 3 is from 3 people per liter.
A. 3
B. -3/4
C. -1
D. 2
Answer:
it got to be b the 4 is on the line 3 so be -3 and 4 postive
help how do yall find this easy i cannot-
Answer:
153/50 or 3.06
Step-by-step explanation:
Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.
Ex. (3/2)*(4/3)
5x – 18 > 2(4x – 15).
Answer:
x<4
Step-by-step explanation:
5x-18>2(4x-15)
5x-18> 8x-30
-18>3x-30
12>3x
4>x
x<4
Jamal drew the function below. Which explains whether or not his function is linear?
On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.
Answer:
A it is linear because it has a constant rate of change
Answer:
A.
Step-by-step explanation:
I just finished the test and got it right
If y = kx, and x = 3 and y = 15, calculate k.
Answer:
k = 5
Step-by-step explanation:
Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:
x = 3
y = 15
15 = 3k
Now we divide 3 from both 3x and 15 to segregate the variable x:
15/3 = 3k/3
5 = k
Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.
y = kx
15= (5)(3)
15 = 15
Tada, I hope this helps you!
Answer:
k=5
Step-by-step explanation:
y=kx Also meaning y = k times x
x=3 y=15
y divided by x = 15 divided by 3 = 5
k=5
Lets Check Our Work
y=kx
15=?3
? times 3 is 15 = 5
Find the slope of the line that passes through (6, 8) and (9, 10)
Answer:
m = 2/3
Step-by-step explanation:
The slope of the line is 2/3.
Answer:
2/3
Step-by-step explanation:
y2-y1/x2-x1
10-8/9-6
2/3
Please help me with this! :) and show me how! <3
Answer:
y=10 when x=7
Step-by-step explanation:
y=2x-4
y=10
Substitute y with "10": 10=2x-4
Add 4 on both sides: 14=2x
x=7
Answer:
substitute 10 for y in the equation y=2x-4
10=2x-4
2x=10+4
2x=6
divide both side by 2
x=3
How many integers $m$ are there such that $0
Answer:
I think you meant to put an attachment but I don't see one
Step-by-step explanation:
In Colorado, there is a sales tax. If the price tag on the item was $12.55 and the total price you paid at the register was $13.05 what is the percent of sales tax paid? Round to the nearest whole percent.
Right triangle JKL is shown below.
What is the measure of
nearest degree.
Answer:
Step-by-step explanation:
Hypotenus=6
Adjacent=4
H and A
Cos x degrees= A divided by H
4 divided by 6=0.666666666
cos inverse(0.6666666666666666)
=48.2
=48
You are participating in a "Secret Gift Exchange" with your friends. You set 3 points
two price requirements: You can spend less than $30, but you must also
spend more than 20. Write the compound inequality. *
Your answer
Answer:
$20<$n<$30
Step-by-step explanation:
solve for x thank you
Answer:9
Step-by-step explanation:
The answer got to be 6. So 6+3=9
The value of y varies directly with x. If x = 4, then y = 268. What is the value of x when y
= 938?
Answer:
14
Step-by-step explanation:
268/4=67
So, x=67y.
938/67=14
What is the sum of |–8| and (the opposite of 6)
Answer:
2
Step-by-step explanation:
|-8| + (-6)
8 - 6
2
Best of Luck!
PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS
Answer:
I think the answer is ummm, 32? if its wrong then i'm sorry, i hope this helps, have a great day/night, and stay safe!
Answer:
3rd
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist I’ll mark you brainlist I’ll mark you brainlist
Answer: each y value is subtracting 3 each time
Step-by-step explanation:
Answer:
x = 1 and y = 1
Step-by-step explanation:
the x axis is going down by 1 each time, and they y is going down by 3 each time
hope this helps!!!