Answer:
- 36x + 9
Step-by-step explanation:
- 12(3x - [tex]\frac{3}{4}[/tex] ) ← multiply each term in the parenthesis by - 12
= - 36x + 9
Answer:
-36x + 9
Step-by-step explanation:
Given expression:
[tex]-12\left(3x-\dfrac{3}{4}\right)[/tex]
Apply the distributive rule:
[tex]\implies -12 \cdot 3x -12 \cdot -\dfrac{3}{4}[/tex]
Multiply -12 and 3x:
[tex]\implies -36x -12 \cdot -\dfrac{3}{4}[/tex]
Apply the rule -a(-b) = ab:
[tex]\implies -36x +12 \cdot \dfrac{3}{4}[/tex]
Convert 12 into a fraction:
[tex]\implies -36x +\dfrac{12}{1} \cdot \dfrac{3}{4}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{db}}:[/tex]
[tex]\implies -36x +\dfrac{36}{4}[/tex]
Divide the numbers:
[tex]\implies -36x +9[/tex]
Therefore, the equivalent expression to the given expression is:
-36x + 9What is the slope of the line created by this equation?
Round your answer out to two decimal places.
9x+4y = 4
[tex]9x+4y=4\implies 4y=-9x+4\implies y=\cfrac{-9x+4}{4} \\\\\\ y=\cfrac{-9x}{4}+\cfrac{4}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{9}{4}}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
PLS HELP 10 points plsssss now
Answer: Alternate interior angles and congruent angles.
Step-by-step explanation: The angles are formed when a line cuts two transversals, and they’re inside the two lines, meaning that they are congruent and alternate interior angles.
(I’ve also attached a helpful image from the web!)
DeShawn ran 40.7 miles less than Mark (m) last week. DeShawn ran 9.3 miles. How many miles did Mark run? Do not include spaces in your answers. 20 points!!!
The number of miles that Mark ran was 50 miles.
How do we get the number of miles that Mark ran?We can get the number of miles that Mark runs by first assigning him the figure x.
Since DeSahwn ran 40. 7 miles less than Mark, we can express this thus:
x - 40. 7 miles.
If the number of miles that DeShawn ran was 9.3 miles we can factor that into the equation as follows:
x - 40. 7 miles = 9.3 miles
x = 9.3 + 40.7
x = 50 miles.
Therefore, the total number of miles that Mark ran was 50 miles.
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Robert pays for his family to go to the arcade he pays an interest fee for his food and additional amount per game that his family plays as shown in the graph use the graph to answer 5-7
Answer:
5) ¾, The slope is ¾ since the cost increases by 3 dollars for every 4 games Robert and his family play.
6) 12, The y-intercept is 12 since Robert had to pay an entrance fee of 12 dollars in order to enter the arcade.
7) y=¾x+12
Write the sentence as an absolute value inequality, then solve the inequality.
Twice a number n is no less than 10 units from −1.
An inequality | 2n -(- 1) | ≥ 10
| 2n + 1 | ≥ 10
after solving the inequality we get the value of n, n ≥ 4.5 and n ≤ - 5.5
According to the question, given that
An inequality which has twice a number n is no less than 10 units from −1.
then inequality : | 2n -(- 1) | ≥ 10
| 2n + 1 | ≥ 10
So, 2n + 1 ≥ 10 or 2n + 1 ≤ - 10
2n ≥ 10 - 1 2n ≤ - 10 - 1
2n ≥ 9 2n ≤ - 11
n ≥ 4.5 n ≤ - 5.5
Therefore, we get the value n, n ≥ 4.5 and n = ≤ - 5.5 after solving inequality.
Algebraic expressions are contrasted in a mathematical statement known as an inequality using the greater-than (>), less-than (), and other inequality symbols. A pair of inequalities connected by and or or form a compound inequality. In this lesson, linear and compound inequalities in one variable will be resolved using the properties of inequalities. After this, the study of absolute-value equations and inequalities continues.
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27.405 x 18 using algorithm
The value of the expression using algorithm is 493.29 .
An algorithm is a finite sequence of exact instructions used to solve a class of particular problems or carry out a calculation in mathematics and computer science.
For performing calculations and processing data, algorithms are employed as specifications. Advanced algorithms can do automated deductions (also known as automated reasoning) and employ logical and mathematical checks to reroute the execution of the code along several paths (referred to as automated decision-making).A well-defined formal language and a finite amount of time and space are both capable of being used to represent an algorithm for computing a function. In accordance with the instructions, a calculation is to be performed that, once completed, goes through a finite number of precisely defined subsequent phases, producing "output", and finally concludes at a specific ending state. Starting with an initial state and starting input—which may be empty—the computation can be performed.The given expression is 27.405 x 18
This can be computed using algorithm of multiplication to get the result 493.29 .
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Determine the value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths.
3.4
8.0
11.4
13.11
Answer:
d. 11.4, 3.4
Explanation:
Given
Required
Determine the zeros
The best way to solve this is to apply the graphical method.
First, we plot the graph of:
See attachment
Next, we write out all values of x when the line crosses the y-axis.
From the attached graph, the points are (approximately):
Option (d) is the closest to the above values.
Hence, the zeros are: -1.4 and 3.4
active attachment
Answer:
13.11
Step-by-step explanation:
[tex]\frac{x}{5\frac{7}{10} }[/tex] = 2 [tex]\frac{3}{10}[/tex] ( multiply both sides by 5 [tex]\frac{7}{10}[/tex] to clear the fraction
x = 5 [tex]\frac{7}{10}[/tex] × 2 [tex]\frac{3}{10}[/tex] = 5.7 × 2.3 = 13.11
HELP ME PLEASE DONT MIND THE DRAWING
1. Point slope form
2. y = -2x + 25
The formula for point slope form is:
y − y1 = m(x − x1), which is exactly what y-7=-2(x-9) is, as y1 is 7, m is -2 and x is 9.
To get this into slope intercept form, we have to solve for y/ isolate it.
y - 7 = -2 (x-9)
First, distribute the -2.
y - 7 = -2x + 18
Then add 7 on both sides to get rid of the -7.
+ 7 + 7
y = -2x+25
Which of the following is a 90° counterclockwise rotation of Figure M?
Figure A
Figure B
Figure C
Figure D
Answer:
A 90-degree CCW rotation will take the points to the left. of the rotational point.
As you have provided no picture to show Figure M and its image rotations, this is as far as I can provide an answer.
Hope that helps
evaluate the function when x=3 h(x) = -x + 5
Answer:
2
Step-by-step explanation:
substitute x = 3 into h(x)
h(3) = - 3 + 5 = 2
Answer all questions.
1. Slope of the line is: c. -3/2.
2. (4, 0) lies on the line.
3. The angle relationship is congruent angles.
4. x = 19
5. m<A = 39
6. The angle relationship is corresponding angles.
7. a. congruent angles.
8. x = 12
9. m<A = 72°
10. m<B = 43°
What is the Slope of a Line?The slope of a line = change in y/change in x
What are Angle Relationships?Angle relationships is used to determine the measures of angles depending on how the two angles relate, whether they are congruent or supplementary angles. For example, corresponding angles are congruent, linear pair angles are supplementary.
1. Slope of the line that passes through (-7, 3) and (-5, 0):
Slope (m) = (3 - 0)/(-7 -(-5)) = 3/-2
Slope (m) is: c. -3/2.
2. The graph of the equation y = 1/2x - 2 is shown in the attachment, which shows that the point that lies on the line is:
(4, 0)
3. The angle relationship is congruent angles.
4. 39 = 2x + 1
39 - 1 = 2x
38 = 2x
38/2 = x
x = 19
5. m<A = 2x + 1 = 2(19) + 1
m<A = 39
6. The angle relationship is corresponding angles.
7. They are: a. congruent angles.
8. 38 = 3x + 2
38 - 2 = 3x
36 = 3x
36/3 = x
x = 12
9. m<A = 180 - 108 [supplementary angles]
m<A = 72°
10. m<B = 180 - 65 - 72
m<B = 43°
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If p = 10^m, q = 10^n and p^n*q^m = 100 then prove that mn=1
Answer:
Step-by-step explanation:
[tex]\displaystyle\\p=10^m;q=10^n;p^n*q^m=100\\\\p^n*q^m=(10^m)^n*(10^n)^m=10^{mn}*10^{nm}=10^{2mn}=100^{mn}=100\\\\\Rightarrow\ mn=1[/tex]
Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
Step
Ren’s work
Step 1
Two-thirds x less-than 36
Step 2
x less-than 54
Step 3
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shaded.
Where, if any, did Ren first make a mistake in his work?
Step 1
Step 2
Step 3
No mistake found
Answer: Ren first make a mistake in his work at step 1
Step-by-step explanation:
Step 1 : 2x/3 < 36 Step 2 : x < 54Step 3 :
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3 > 36 as more than 36 employees stated their preference hence 2x/3 must be greater than 36
Answer: Its a correct me if i'm wrong
Step-by-step explanation:
A movie theatre currently has 49 empty seats. 3
people enter every minute to fill those seats. The
scenario is modeled by the arithmetic sequence
= 46 − 3( − 1)
The number of empty seats based on the arithmetic sequence in 6 minutes is 28.
How to illustrate the information?It should be noted that an expression simply means the function that's given to show the relationship between the variables.
From the information, the movie theatre currently has 49 empty seats. 3 people enter every minute to fill those seats. The scenario is modeled by the arithmetic sequence:
= 46 − 3m.
In this case m = number or minutes.
The empty seats in 6 minutes will be:
= 46 - 3m
= 46 - 3(6)
= 46 - 18
= 28
There are 28 empty seats.
The complete question is written below.
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A movie theatre currently has 49 empty seats. 3 people enter every minute to fill those seats. The scenario is modeled by the arithmetic sequence
= 46 − 3m. Find the numberof empty seats in 6 minutes.
help i need the answer quick
Answer:
First and Third
Step-by-step explanation:
The graphs obey the function equations but the intervals are marked incorrect in #s 2 and 4
One thing to keep in mind is that when you have a piecewise function valid on certain intervals, the circle shape denoting the beginning of the interval is very important
If it is a filled circle it denotes a ≤ (or ≥) inequality
If it is an unfilled (hollow) circle it denotes a < (or >) inequality
Looking at the second graph we see that
f(x) = -1 for -∞ < x < -1
Assuming the interval is correctly defined, that solid circle at x = -1, y = -1 should be a hollow circle not a filled circle
Similarly for f(x) = 3x² + 3, the interval is given as -1 ≤ x < ∞ but the starting circle for this interval is an unfilled circle, it should be a filled circle
A similar situation applies to the fourth choice and you should be able to figure that out yourself
4 = -(x + 3) implemented as a real life problem
the length of two sides of the right triangle ABC shown in the illustration are given. I have to find the length of the third side in centimeters. a= 7 cm and b= 24 cm
we have that
Applying the Pythagorean Theorem
c^2=a^2+b^2
substitute given values
c^2=7^2+24^2
c^2=49+576
c^2=625
c=25 cmPut the following equation of a line into slope-intercept form, simplifying all
fractions.
8x-20y=40
The equation of a line into slope-intercept form is represented as:
y = mx + c
where m = slope of the line
c = y-intercept of the line
On simplifying 8x - 20y = 40, the equation will be:
⇒ 2 (4x - 10y) = 2 (20)
⇒ 4x - 10y = 20
⇒ 2x - 5y = 10
⇒ 2x - 10 = 5y
⇒ 5y = 2x + (-10)
⇒ y = 2x/5 + (-10/5)
⇒ y = 2x/5 + (-2)
The slope of this line = 2/5
y-intercept of the line = -2
What is the Slope of a Line?A line's steepness is based on its slope. The slope is m in the equation y = mx + b, which is the common equation for a line. Additionally, it is frequently referred to as "rise over run," which indicates how much the y-value changes as the x-value changes.When a line advances from left to right and has a positive slope, the line rises (slopes up). When a line moves from left to right and has a negative slope, it descends (goes down).A line's slope can be determined by selecting two points from the line's graph and then providing the line's graph as input.The simplest method for doing this is to choose 2 locations on the line with integer coordinates, then add up the changes in x and y.To learn more about the Slope of a Line, refer to:
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Simplify the linear expression by combining like terms. 2x + 8y - 7x - y
Please hurry!!!
Answer:
-5x + 7y
Step-by-step explanation:
2x - 7x = -5x
8y - y = 7y
Maria has $40, which is 170% of the amount that Kelly has. How much money, in dollars, does Kelly have?
Answer:
Step-by-step explanation:
I haven't done percentages in a while but the answer after I did it would 15 dollars from where I rounded it. You multiply 15 by 270% which is 2.7 and that's the closest to 40. So Kelly would have 15 dollars.
(Fact check me math people)
An architect's sketch of plans for the front of a garage in the shape of pentagon is shown below. What is the approximate perimeter of the front of the garage?
The graph shows a five-edged polygon. The five edges are on (minus 5.5, 0), (minus 5.5, 7), (0, 9.7), (5.5, 7), and (5.5, 0).
Answer:
37.26 units
Step-by-step explanation:
You want to know the perimeter of the pentagon defined by the points (-5.5, 0), (-5.5, 7), (0, 9.7), (5.5, 7), and (5.5, 0).
GraphThe attached graph shows the points and the distances between them. The perimeter is the sum of those distances.
7 +6.13 +6.13 +7 + 11 = 37.26
The perimeter of the polygon is about 37.26 units.
__
Additional comment
The length of the slant edges can be found using the distance formula.
d = √((x2 -x1)² +(y2 -y1)²) = √((0 -5.5)² +(9.7 -7)²) = √(30.25 +7.29)
= √37.54 ≈ 6.12699
The lengths of the horizontal and vertical edges can be found by differencing the x- and y-coordinates of the points, respectively. (The distance formula can be used, as well.)
2m ÷8m in standard form
Answer:
1/4
Step-by-step explanation:
2m/8m = 1/4
Answer:
1/4
Step-by-step explanation:
2m ÷8m
Divide
2m
----
8m
Cancel like terms
2
---
8
Divide the top and bottom by 2
2/2
------
8/2
1
-----
4
Can you please give me the name of the Math book that has this problem solving question below?
Nick's bank account balance was $21. if he writes a check for $30 and his bank charges him $35 for overdrawing his account, find his account balance
Answer:
not sure but I know the answer
Step-by-step explanation:
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Giorgio used all the vegetables shown in the table above for his dinner.
a. How much money did his meal cost?
Considering the cost of 3 bell peppers are $2.05, 4 tomatoes are $1.09, 2 onions are $0.65 and 5 potatoes are $0.33, and Giorgio used all these vegetables for his dinner, then his meal costed a total amount of $4.45.
As per the question statement, no information about the vegetables Gorgio used for his dinner or their prices are provided in the question statement, and thus we are considering that, Gorgio used 3 bell peppers that costed $2.05, 4 tomatoes at $1.09, 2 onions at $0.65 and 5 potatoes at $0.33 in his dinner recipe.
We are required to calculate how much does Gorgio's dinner meal cost.
To solve this question, we simply have to add up the prices of the ingredients and we will obtain our desired answer.
That is, Gorgio's meal costed a total amount of $(2.05 + 1.09 + 0.65 + 0.33)
= $4.45
Amount: In Mathematics, amount generally refers to the summation or adding up of two or more quantities, particularly the quantity being money.To learn more about Amounts, totals and prices, click on the link below.
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A family took a road trip it takes 1/4 tank of gas to travel 1/5 of the total distance at this rate,What fraction of the total distance can the family travel using tmp tank of gas.
Has a slope of 4/5 and passes through point (-5,12)
Write equation in point slope form.
Answer:
y = (4/5)x + 16
Point-slope form:
y - 12 = (4/5)(x + 5)
Step-by-step explanation:
slope = m; (-5, 12)
m = (4/5) (x₁, y₁)
y - y₁ = m(x - x₁)
y - 12 = (4/5)(x - (-5))
y - 12 = (4/5)(x + 5)
y - 12 = (4/5)x + 4
+12 +12
--------------------------
y = (4/5)x + 16
I hope this helps!
4.
This figure is made from a part of a square and a part of a circle
8
4
unit?
a
What is the perimeter of this figure, to the nearest sind?
What is the area of this figure, to the nearest square
A portion of a square and a portion of a circle were used to create this figure. The perimeter of the figure is 36.28 units.
Given that,
A portion of a square and a portion of a circle were used to create this figure.
We have to find the perimeter of the figure.
Three linear sides are measured in units of 4, 8, 8, 4.
Radius of the circular part = 4 units
Measure of a polygon's circumference equals the polygon's perimeter.
From the figure we can see,
Figure perimeter equals the sum of the lengths of the three straight lines and the circumference of the quarter circle.
Measure of linear sides = 4 + 8 + 8 + 4 = 24 units
Circumference of the quarter circle = 1/4(2πr)
=1/2×π×4
=2×π
=2×3.14
=6.28 units.
Perimeter of the figure is 30+6.28
=36.28 units.
Therefore, the perimeter of the figure is 36.28 units.
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In a group of 40
people, 22 of them
have brown hair.
What percent of
them don't have
brown hair?
Answer:
Step-by-step explanation:
Hi:
First determine those without brown hair:
40-22=18 don't have brown hair.
18/40 don't have brown hair:
Divide by 2
9/20
Multiply by 5 to get percent
45/100= 45 percent don't have brown hair
An international company has 15,900 employees in one country. If this represents 34,6% of the company's employees, how many employees does it have in total?
Using percentage, we calculated that the total number of employees in the company equals 45954.
How do we express Percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.
Given,
34.6% of the employees in the company equals 15,900
Let the total number of employees in the company = x
According to the given question,
34.6 / 100 × x = 15,900
⇒ x = 15900 × 1000 / 346
⇒ x = 45954
∴ Total employees in the company equals 45954.
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Given ƒ(x) = −x − 1, find ƒ(0).
The value of f(0) is '-1'.
Let's see the step-by-step solution:
Step 1:
For f = -x -1
substitute the x with 0
So, f(0) = -0-1
Step 2:
Simplifying it: -0-1: -1
Thus, the value of f(0)= -1
