Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
Is the statement true or false? If false, give a counterexample.
For all real numbers a, b and c, a(b + c) = ab + bc.
A. true
B. false; a(b + c) = ab − ac
C. false; if a = b = c = 1, then 1(1 + 1) ≠ 1(1) + 1(1)
D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)
Answer:
D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)
Step-by-step explanation:
A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.
B is also false. There is no indicated negative signs.
C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)
D is true.
Evaluate x/y when x=9/4 and y=3/5
Answer:
[tex]\displaystyle x/y=\frac{15}{4}[/tex]
Step-by-step explanation:
Division of fractions
To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:
[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]
We will evaluate x/y when x=9/4 and y=3/5:
[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]
[tex]\displaystyle=\frac{45}{12}[/tex]
Simplifying:
[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]
expand (2x+3) (2x-5)
Answer:
4x^2−4x−15
Split using the sum and difference of the formula, the simplify
A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?
Answer:
Maximum number of chairs is 7.
Step-by-step explanation:
We are told he has less than 120 minutes to spend painting furniture each day.
Now he has spent 30.5 minutes painting a desk.
Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.
Thus, we have;
30.5 + 12.5x < 120
Subtract 30.5 from both sides to get;
12.5x < 120 - 30.5
12.5x < 89.5
x < 89.5/12.5
x < 7.16
Thus, maximum number of chairs he can paint is 7
complete each proof
Answer:
a) given
b) subtraction property
d) 3x+8 -8= 2-8
e) 3x= -6
f) division property
g) x=-2
Step-by-step explanation:
combine like terms to simplify the expression
Answer:
[tex]\frac{1}{2} k-\frac{3}{5}[/tex]
Step-by-step explanation:
Step 1: Define expression
[tex]\frac{2}{5} k-\frac{3}{5} +\frac{1}{10} k[/tex]
Step 2: Change denominators to like terms
[tex]\frac{4}{10} k-\frac{3}{5} +\frac{1}{10} k[/tex]
Step 3: Combine like terms
[tex]\frac{5}{10} k-\frac{3}{5}[/tex]
Step 4: Simplify
[tex]\frac{1}{2} k-\frac{3}{5}[/tex]
If the area of a square poster is 625 square inches. Josh needs to it to fit into a frame that has dimensions of 12 inches. How many inches does he need to cut off each dimension?
Answer:
13 inches
Step-by-step explanation:
To solve this problem we need to figure out the length of each side. Caculate the length of the square poster by finding out the square root. 25 times 25= 625. We know that th dimentions of the poster is 25. 25-12= 13
does 3(6x - 2) - 7 = 18x - 13?
Answer:
yes
Step-by-step explanation:
distribute 3(6x-2) to get 18x-6-7= 18x-13
combine -6 and -7 to get 18x - 13 = 18x - 13
hope this helps :))
If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
28 mando the peace of work in 41 days
by divida 52 and 35 and multiiply with28
For the following right triangle, find the side length x.
Answer: 37
Step-by-step explanation:
Use A squared plus b squared equals c squared.
1. 35 squared is 1,225.
2. 12 squared is 144.
3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?
Well the square root of 1,369, that's 37.
Marty’s dog can run 3 miles in 20 minutes. What is the dog’s speed in miles per hour?
How do i get the answer?
Write the inequality. Lawyers work up to 80 hours a week. (Use x for your variable)
is 54/35 a rational number?
Answer:
54/35 is a rational number!
Have a great rest of your day!
Answer:
Yes and no
Step-by-step explanation:
The number 54 is a rational number if 54 can be expressed as a ratio, as in Rational. A quotient is the result you get when you divide one number by another number. Although the 54 is good the 35 is not due to it if you had to choose if it was or not you can say yes but it determines the question.
Find the slope of the line described by:
X -6y= -9
write answer as a fraction
Find m2 KLM ifm/NLM = 950
and mKIN = 46°.
Answer:
46
Step-by-step explanation:
Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistent
number of miles
per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the
equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to
complete the trip.
Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve
the equation to determine how many gallons of gasoline he must purchase.
Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
Solve the inequality from part A for x. Then use the drawing tools to graph the solution set on the number line. Solving lenear equations
Answer:
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10. ➡️
➡️
Step-by-step explanation:
solve the inequality for x:
1,558 + 60x ≥ 2,158
60x ≥ 600
x ≥ 10
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10. ➡️
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
solve the inequality for x:
1,558 + 60x ≥ 2,158
60x ≥ 600
x ≥ 10
To learn more on inequality click:
brainly.com/question/24853349
#SPJ2
WILL MARK BRAINLIEST
What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}
a {0, 2, 4}
b {-1, 1, 3}
c {2/3, 4/3, 2}
d {-2/3, 5/3, 4}
Answer:
D.
Step-by-step explanation:
SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY
Write a complex number where the real component is 7 and the imaginary component is -13i
Answer:
z = 7 - 13i
Step-by-step explanation:
A complex number has the form
z = a + bi ( where a is the real part and bi the imaginary part )
Here a = 7 and bi = - 13i, thus
z = 7 - 13i
Pls help hurry I need to find the slope
Answer:
a. -1
Hope this helps!
Which function corresponds to the table?
A) y = 3x - 2
B) y = 2x + 3
C) y = -2x + 3
D) y = -3x + 2
Answer:
c is the correct answer
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation:
this is the picture that goes with my question.
Answer:
first u should make your equation: y= -1/5 (x-5) - 3
y= -1/5x +1 -3
y= -1/5 x -2
then u should setting some number like 1 ,2 ..... instead of *x* and when u done this u should dissolve it (now your *y* is came out too) so you have your x,y now
According to the points you get, you put it on the chart and connect it
if you do not understand something, tell me to draw on paper so you can understand better
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
Help me please ?!!!!
Answer:
The slope of the line is -1
Step-by-step explanation:
Slope of a Line
Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table in the image, we select the points (1,4) (3,2). The slope is:
[tex]\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1[/tex]
Now select two other points like (5,0) (7,-2)
[tex]\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1[/tex]
Following the same procedure with any other pair of points, we'll get the very same result:
The slope of the line is -1
Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24
Answer:
3/5 = 21/35
Step-by-step explanation:
if you reduce 21/35 it is 3/5 so it is the same thing
A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.
Glacial Movement
Distance Moved (inches)
Time
(hours)
0.3
1
0.6
2
0.9
3
x
4
What value of x completes the table?
Answer:1.2
Step-by-step explanation:
Answer:
1.2 Inches, It moves 0.3 inches in 1 hour so if in 1 hour it moves 0.3 and in 2 0.6 and in 3 0.9 so in 4 hours it will move 1.2 inches
Step-by-step explanation:
Arron can join a gym for $19.99 per month plus an annual fee of $12.80 or he can pay $21.59 per month. He thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct ? Set up an equation (with variables on both sides) to describe the situation.
Answer: Aaron is wrong. The first option is better as it costs less than the second option.
Step-by-step explanation:
Arron can join a gym for $19.99 per month plus an annual fee of $12.80.
Since Aaron wants to spend 10 months at the gym, this will cost him:
= $12.80 + ($19.99 × 10)
= $12.80 + $199.9
= $212.7
Paying $21.59 for 10 months will be:
= $21.59 × 10
= $215.9
The first option is better as it costs less than the second option.
Which shows the scale factor used to dilate triangle XYZ to form triangle X'Y'Z'?
A( 1/2 x, 1/2 y)
B (1/3 x, 1/3 y)
Answer:
B
Step-by-step explanation:
A is wrong lol, trust me.
Mrs. Bartz was going shopping for Halloween Candy for her first grade class. If
a bag of 25 Skittle's costs $4.00, how much would one bag of Skittles cost?
Answer:
The answer is 0.16
Step-by-step explanation:
because if you add .16 25 times or if you see the other answers it cant be 6.25 or 1.05 you think it could be 0.82 but its not
Answer:
0.16
Step-by-step explanation: