Simplifying
12x + 10 + 3 + 8x = 0
Reorder the terms:
10 + 3 + 12x + 8x = 0
Combine like terms: 10 + 3 = 13
13 + 12x + 8x = 0
Combine like terms: 12x + 8x = 20x
13 + 20x = 0
Solving
13 + 20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + 20x = 0 + -13
Combine like terms: 13 + -13 = 0
0 + 20x = 0 + -13
20x = 0 + -13
Combine like terms: 0 + -13 = -13
20x = -13
Divide each side by '20'.
x = -0.65
Simplifying
x = -0.65
Answer:
You have to do like terms
Step-by-step explanation:
12x+10+8+8x
12x+8x = 20x
10+3 = 13
your answer would be
20x+10
heyyyyy help pls
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Answer:
-30
Step-by-step explanation:
1) Remove unnecessary parenthesis:
-20-10
2) Calculate the difference:
-30
Hey!
-----------------------
Solution:
= (-20) - (10)
= -20 - 10
= -30
-----------------------
Answer:
A. -30
-----------------------
Hope This Helped! Good Luck!
Jada bought 3 1/2 yards of fabric for $21. How much did each yard cost
Answer:
6
Step-by-step explanation:
3 1/2 = 3.5
21/3.5 = 6
The cost of one yard of fabric is required.
The cost of one yard of fabric is [tex]\$6[/tex]
Cost of [tex]3\dfrac{1}{2}\ \text{yards}[/tex] of fabric is [tex]\$21[/tex]
[tex]3\dfrac{1}{2}=\dfrac{7}{2}\ \text{yards}=\$21[/tex]
We need to divide both sides by [tex]\dfrac{7}{2}[/tex]
[tex]1\ \text{yard}=\dfrac{21}{\dfrac{7}{2}}[/tex]
[tex]=21\times \dfrac{2}{7}=\$6[/tex]
The cost of one yard of fabric is [tex]\$6[/tex]
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It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol
Answer:
$3.57
Step-by-step explanation:
You multiply .40 by 2.55 which gives you 1.07 then you add that to the original
Answer:
3.57 dollars
Step-by-step explanation:
Cost of sandwich = $2.55
We are given that To make a profit, the deli sells it at a price that is 140% of the cost
So, selling price of sandwich = [tex]140\% \times 2.55[/tex]
= [tex]\frac{140}{100} \times 2.55[/tex]
= [tex]3.57[/tex]
Hence The sandwich sells for 3.57 dollars
8 to the power of 2 + 3 ( 36 divided by 6 ) - 2
[tex]\huge\boxed{80}[/tex]
Let's start off by writing this with symbols. [tex]8^2+3(\frac{36}{6})-2[/tex]
Follow the order of operations and start with the exponent. [tex]64+3(\frac{36}{6}-2[/tex]
Now, solve the parentheses. [tex]64+3*6-2[/tex]
Multiply. [tex]64+18-2[/tex]
Add. [tex]82-2[/tex]
[tex]\boxed{80}[/tex]
Final answer:
Explanation of solving an arithmetic expression with exponents, division, addition, and subtraction following the order of operations.
Explanation:
To solve the expression 82 + 3 ×(36 / 6) - 2, follow the order of operations (PEMDAS):
Calculate the exponential term: 82 = 64
Divide 36 by 6: 36 / 6 = 6
Multiply 3 by the result of the division: 3 ×6 = 18
Substitute the values back into the original expression: 64 + 18 - 2
Perform the addition and subtraction: 64 + 18 = 82, then 82 - 2 = 80
Therefore, the result of the expression 82 + 3 ×(36 / 6) - 2 is 80.
3/4 m = 66
What is the answer?
Answer:
m=88
Step-by-step explanation:
First we have to isolate the variable. In this case, it would be by multiplying the reciprocal of the fraction the both sides. M will be alone and the other side should come out to be 88. Assuming you know how to multiply with fractions, of course.
Write the equation of the line perpendicular to y= -1/2x - 5 through the point (1,-4)
Answer:
y = 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x - 5 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2, thus
y = 2x + c ← is the partial equation of the line
To find c substitute (1, - 4) into the partial equation
- 4 = 2 + c ⇒ c = - 4 - 2 = - 6
y = 2x - 6 ← equation of line
Use the point-slope formula to write an equation of the line that passes through (-5,3) and
(4,6). Write the answer in slope-intercept form (if possible).
Answer:
The equation in point slope form is [tex]y-6=\frac{1}{3}(x-4)[/tex]
The equation in slope intercept form is [tex]y=\frac{1}{3}x-\frac{14}{3}[/tex]
Step-by-step explanation:
step 1
Find the slope m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex](-5,3),(4,6)[/tex]
Substitute the values
[tex]m=\frac{6-3}{4+5}[/tex]
[tex]m=\frac{3}{9}[/tex]
simplify
[tex]m=\frac{1}{3}[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{1}{3}[/tex]
[tex](4,6)[/tex]
substitute
[tex]y-6=\frac{1}{3}(x-4)[/tex] ---> equation in point slope form
step 3
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
[tex]y-6=\frac{1}{3}(x-4)[/tex] ----> convert to slope intercept form
[tex]y-6=\frac{1}{3}x-\frac{4}{3}[/tex]
[tex]y=\frac{1}{3}x-\frac{4}{3}+6[/tex]
[tex]y=\frac{1}{3}x-\frac{14}{3}[/tex]
Please need help on this
Answer:
○ B x² + 3x - 6
Step-by-step explanation:
Here is the Quadratic Equation:
y = Ax² + Bx + C
Find the expression that is in this form, which would be answer choice B.
I am joyous to assist you anytime.
Plsss help im stuck!!
Answer:
33.25
Step-by-step explanation:
Answer: 36.5
Step-by-step explanation:
How are dilations similar to scale drawings?
What is 3/4x2 in simplest form
Answer:
3/2
Step-by-step explanation:
1) Reduce the numbers with greatest common divisor (2 goes into 4 2 times, so your new problem would be 3/2 x1)
2) Multiply (3/2 times 1 equals 3/2)
Answer:
5
Step-by-step explanation:
Multiply (3x2)=6
the 4 on top add that with 6 (6+4)= 10
keep the denominator so 10/2
10/2 = 5/1 = 5
A line passes through (-1, 7) and (2, 10).
Which answer is the equation of the line?
a. -x+y=12
b. -3x+y=4
c. -3x + y = 16
d. -x+y=8
Answer:
d. -x + y = 8
Step-by-step explanation:
First find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
[tex]\frac{-7 + 10}{1 + 2} = \frac{3}{3} = 1[/tex]
Then, we can go ahead and use the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done swifter. It does not matter which ordered pair you choose:
10 = 1[2] + b
2
8 = b
y = x + 8 >> Line in Slope-Intercept Form
Since the exercise wants the equation in Standard Form:
y = x + 8
-x -x
________
-x + y = 8 >> Line in Standard Form
__________________________________________________________
7 = 1[-1] + b
-1
8 = b
y = x + 8 >> Line in Slope-Intercept Form
y = x + 8
-x -x
________
-x + y = 8 >> Line in Standard Form
** You see? I told you it did not matter which ordered pair you chose because you will always get the exact same result, plus the fact that I told you it was alot swifter than the Point-Slope Formula.
* Tip: Use the Point-Slope Formula when it tells you to, otherwise keep using the Slope-Intercept Formula. That way, you get your work done in a jip!
I am joyous to assist you anytime.
A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches. What is the ratio of the area of the school banner to the area of the sign?
Answer:
It is about 3.18 inches
Step-by-step explanation:
54 divide by 17 equals to 3.17647058824
estimate 3.17647058824 to hundredth place equals to 1.18
What is the circumference of a circle with a diameter of 3.4 cm?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
Answer: 10.676 cm
Step-by-step explanation:
We know that ,
The circumference of a circle is given by :_
[tex]\text{Circumference}=\pi d[/tex] , where d= diameter.
Given : Diameter of circle = 3.4 cm
Then Circumference of circle = [tex](3.14)(3.4=10..676\text{ cm}[/tex]
Hence, the circumference of a circle with a diameter of 3.4 cm is 10.676 cm.
3(3x+4)=10+2(4x-5) solve
Answer:
x = -12
Step-by-step explanation:
9x + 12 = 10 + 8x - 10
9x + 12 = 8x + 10 -10
9x + 12 = 8x
12 = 8x -9x
12 = -x
12/-1
x = -12
1. One day, 758 people visited the
Monkey House at the zoo. What is
758 rounded to the nearest hundred?
Good morning ☕️
______
Answer:
800
_____________________
Step-by-step explanation:
758 rounded to the nearest hundred 800 because 5 is greater than 4.
:)
Classify the quotient as positive, negative, zero, or undefined. 4 divided by 1
Answer:
4/1 = 4
So positive because it's a positive 4.
Step-by-step explanation:
4/1 = 4
if you divide 4 into 1 piece it will still be intact. It would be the one piece that you have. So, the answer is positive. Positive 4.
-7y+11y+9=-3 what does y equal
Answer:
y=-3
Step-by-step explanation:
-7y+11y+9=-3
1) Combine alike terms:
4y+9=-3
2) subtract a 9 on both sides:
4y=-12
3) divide both sides by 4:
y=-3
An airplane descended 4,000 feet before landing. The integer that represents how many feet the airplane was above the ground before it’s descent is ?
Answer:
Since, an airplane descended 4,000 feet before landing.
Now, we have to determine the integer which represents the number of feet, the airplane was above the ground before its descent.
Before the descent, airplane was at the height of 4,000 feet.
And the distance above the ground is represented by the positive integers and distance below the ground is represented by the negative integers.
Since, 4,000 feet is the distance of airplane above the ground.
So, the airplane was +4,000 feet above the ground before its descent.
two numbers have a sum of 24. if one number is P, express the other number in terms of P
Say the other number is a. The sum is a+P, which also equals 24.
Write it as, a+P=24.
Now subtract P from both sides.
you get, a = 24-P
So, the other number in terms of P is 24 - P
To express the other number in terms of P when the sum of the two numbers is 24, subtract P from 24: Q = 24 - P.
In Mathematics, when you have a sum of two numbers, and you know the value of one number, you can find the other number by subtracting the known number from the total sum.
This is known as solving for a variable.
In this specific question where two numbers have a sum of 24, and if one number is P, the other number can be expressed in terms of P as 24 - P.
It is a simple equation derived from the basic formula: Sum = Number1 + Number2
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Two objects are ________ when they have the same size and shape. What’s the blank?
Answer:
I think the answer is 'congruent'. :)
Step-by-step explanation:
For any two integers a and b, (a + b)2 = a? + b2
Answer:
(a+b)2 = a2 + b2
Step-by-step explanation:
Answer:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Step-by-step explanation:
We have been given an incomplete statement [tex](a+b)^2=a?+b^2[/tex]. We are supposed to complete the given statement.
We can see that left side of our given equation represents a perfect square. The right side of equation would be perfect square trinomial.
Let us use perfect square formula to expand our given perfect square as:
[tex](x+y)^2=x^2+2xy+y^2[/tex]
Substitute [tex]x=a[/tex] and [tex]y=b[/tex]:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Therefore, the complete statement would be [tex](a+b)^2=a^2+2ab+b^2[/tex].
Which of the following is an equation of the circle in
the xy-plane that has center (0,0) and radius 4?
A) x2 + y2 = 4
B) x2 + y2 = 8
C) x2 + y2 = 16
D) x2 + y2 = 64
Answer:
C
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← where r is the radius
here r = 4, thus
x² + y² = 4², that is
x² + y² = 16 → C
Answer:
C). x^2 + y^2 = 16.
Step-by-step explanation:
The equation of a circle with center (0, 0) and radius r is
x^2 + y^2 = r^2
So our equation (with r = 4) is:
x^2 + y^2 = 4^2
x^2 + y^2 = 16.
Determine which statement is true about the zeros of the function graphed below.
A.
Function f has one real solution and one complex solution.
B.
Function f has exactly two complex solutions.
C.
Function f has exactly one real solution and no complex solutions.
D.
Function f has exactly two real solutions.
Answer:
The correct answer is B.
Step-by-step explanation:
In this graph we can see a "Parabola", this is the curve for a second degree polynomial function, and based on "Fundamental theorem of algebra" we can know that this polynomial has 2 roots (they can be real or imaginary).
In this graph, the curve doesn't touch the X axis, so we know that this function has not real root. So both roots are complex
(5 to the power of 4) to the power of 3
Answer as a exponent.
Answer:
5^12
Step-by-step explanation:
When you have a question where a number is raised to the power of twice you just multiply both exponents. In this case 4x3=12
So 5 to the power of 4 to the power of 3 is 5 to the power of 12
What is another way to write 32 past 8 o clock
Step-by-step explanation:
We know: 1 hour = 60 minutes
60 - 32 = 28
32 past 8 o clock is the same as 28 to 9 o clock.
8.9 x 10^-5 in standard notation
Answer:
the answer = 0.000089x
Step-by-step explanation:
a fraction that is a repeating decimal between 0.5 and 1
The fraction [tex]\( \frac{2}{3} \)[/tex] results in a repeating decimal [tex]\( 0.\overline{6} \)[/tex], which falls between 0.5 and 1.
Sure, here's a step-by-step explanation:
1. Start with the fraction: We begin with the fraction [tex]\( \frac{2}{3} \)[/tex].
2. Convert to decimal: To convert this fraction to a decimal, divide the numerator (2) by the denominator (3).
[tex]\[ \frac{2}{3} = 0.66666... \][/tex]
The decimal representation of [tex]\( \frac{2}{3} \) is \( 0.\overline{6} \)[/tex], which means the digit 6 repeats infinitely.
3. Determine where it falls between 0.5 and 1: Since the decimal [tex]\( 0.\overline{6} \)[/tex] is greater than 0.5 and less than 1, the fraction [tex]\( \frac{2}{3} \)[/tex] indeed fits the criteria of being a fraction with a repeating decimal between 0.5 and 1.
A group of ten 6- and 12-volt batteries are wired in series. The sum of their voltages is 84 volts. How many of each type of battery are used?
Final answer:
The problem involves creating two linear equations based on the given information and then solving them simultaneously to find that there are six 6-volt batteries and four 12-volt batteries among the ten.
Explanation:
Solving the Battery Voltage Problem
To solve the problem, we will use a system of linear equations. Let's denote the number of 6-volt batteries as x and the number of 12-volt batteries as y. Since there are ten batteries in total, we can write the following equation:
1. x + y = 10 (Equation for the total number of batteries)
The sum of voltages of all batteries is given to be 84 volts. Each 6-volt battery contributes 6 volts and each 12-volt battery contributes 12 volts to the total voltage. We can write the second equation for the sum of the voltages:
2. 6x + 12y = 84 (Equation for the total voltage from the batteries)
To find the values of x and y, we can simplify the second equation:
3. Divide the second equation by 6:
x + 2y = 14
Now we can subtract the first equation from this new equation to find the value of y:
4. (x + 2y) - (x + y) = 14 - 10
5. y = 4
Now that we know there are four 12-volt batteries, we can use the first equation to find the number of 6-volt batteries:
6. x = 10 - y
7. x = 10 - 4
8. x = 6
Therefore, the group consists of six 6-volt batteries and four 12-volt batteries.
H - 26 = -29 linear equation solving show steps
Answer:
H = -3
Step-by-step explanation:
H - 26 = -29
+26 +26
H = -3
H-26=-29
move -26 to the other side
sign changes from -26 to +26
H-26+26=-29+26
H=-29+26
Answer: H=-3