Answer: x=1
Step-by-step explanation:
Add\:similar\:elements:-53x+0.5x=-52.5x
Subtract\:the\:numbers:-14-38.5=-52.5
Multiply\:both\:sides\:by 10
Refine
Divide\:both\:sides\:by -525
Simplify
x=1
Write an equation of the direct variation that includes the point (9, -12).
A. y = -1/2 x
B. y=-1½ x
C. y=1/3x
D. y=-3x
Answer:
none of these
Step-by-step explanation:
An equation in the form of direct variation is in the form
y = kx
Checking each equation and substituting the point
-12 = -1/2 (9)
-12 = -4.5 not true
-12 = -1 1/2 (9) = -3/2 *9 = -27/2 - 13.5
-12 = -13/5 not true
-12 = 1/3 (9)
-12 = 3 not true
-12 = -3(9)
-12 = -27 not true
Stacy read a book with 106 pages, her friend read a book with 164 pages, look at the 6 digit in both of the page numbers, what is similar and different about the 6's
The difference is one 6 is at ones place and another 6 is at tens place.
What is Place Value?In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit's location (ones place). The place values of a number's digits are expressed in the following order: ones/units, tens, hundreds, thousands, ten thousands, and so on.
Given:
Stacy read a book with 106 pages.
and, her friend read a book with 164 pages.
In case of stacy the place value of 6 is at ones place.
and, in Stacy's friend case the place value of 6 is at tens place.
So, the difference is one 6 is at ones place and another 6 is at tens place.
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A Sumer job pays $5 per hour
b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.
Answer:
Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Step-by-step explanation:
hourly pay: $5/hour
number of hours: 24 hours
total pay = hourly pay × number of hours
total pay = $5/hour × 24 hours
total pay = $120
MP3 player costs $100.
Total pay is $120.
Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
In which quadrant does the point (-11 , -22) lie?
The quadrant in which the point (-11, -22) lies is the third (3rd) quadrant.
What is a quadrant?In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate in a graph.
What are types of quadrant?This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:
Quadrant IQuadrant IIQuadrant III.Quadrant IV.Generally speaking, the coordinates of the third (3rd) quadrant are all negative, which simply means that both the x-values and y-values are negative e.g (-11, -22).
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f(x) = 4 - 3x
g(x) = 2x^2 - 3x +1
Answer:
[tex]x = \frac{4}{f - 3} [/tex]
Step-by-step explanation:
add 3x to both sides
[tex]fx + 3x = - 3x + 4 + 3x \\ fx + 3x = 4[/tex]
factor out variable x
[tex]x(f + 3) = 4[/tex]
divide both sides by f+3
[tex]x = \frac{4}{f - 3} [/tex]
X1 -4, X2 -6
Y1 -4, Y2 4
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}} \implies \cfrac{4 +4}{-6 +4} \implies \cfrac{ 8 }{ -2 } \implies - 4[/tex]
IM BEGGING HELPPPPPPPPPPP
Answer: 20
Step-by-step explanation: 12 divided by 3 is 4 multiply the 2 by 4 12 + 8 = 20
Kayla is 3/4 of the way from New York to Boston. She began with 4/5 of a full tank of gas. She has 1/5` of a tank of gas left. Does she have enough gas to reach Boston?
Yes, Kayla has enough gas to reach her destination which is Boston.
What is ratios?Ratios can be defined as the expression that shows the relationship between two variables that are of the same unit.
The present location of Kayla = 3/4 of the way to new York.
The remaining distance = 1/4
The quantity of fuel that took her to that present location = 4/5 of full tanks
Therefore if 3/4 distance = 4/5 fuel
1/4 distance = 1/5 fuel
It can be concluded that Kayla has enough gas to reach her destination which is Boston.
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(Look at picture) ty btw :)!!!!! <3
Answer:
Step-by-step explanation:
6
Please hurry need answer right away.
Usain can run 100 yards (yd.) in
seconds (s.). If there are 1,760 yards in
a mile (mi.), which of the following shows
Usain's speed in miles
per hour
(hr.)?
100 yd.
mi.
9 s.
1,760 yd.
3,600 s.
1 hr.
K
100 yd.
1,760 yd.
1 hr.
9 s.
mi.
3,600 s.
9 s.
1,760 yd.
100 yd.
1 mi.
3,600 s.
1 hr.
9 s. • 100 yd.
M
3,600 s. 1,760 yd.
N
3,600 s. • 1,760 yd.
9 s. • 100 yd.
Answer: To find Usain's speed in miles per hour, we need to convert the distance from yards to miles and the time from seconds to hours. To convert yards to miles, we divide the number of yards by the number of yards in a mile (1,760). To convert seconds to hours, we divide the number of seconds by the number of seconds in an hour (3,600).
So, to find Usain's speed, we use the formula:
Speed = Distance / Time
In this case, we have:
Speed = (100 yd) / (9 s)
We need to convert yards to miles and seconds to hours, so we can use the following conversion factors:
1 yd = 1/1,760 mi
1 s = 1/3,600 hr
By applying this conversion factor we get the speed in miles/hour.
Speed = (100 yd) / (9 s) * (1/1,760 mi/yd) * (1/3,600 hr/s)
So the final answer will be:
Speed = (100/9) * (1/1,760) * (1/3,600) miles/hour
Hence, option M: 3,600 s is the final answer.
Step-by-step explanation:
please help me with math i’ll give you brainlist
Answer: y = -1.6x + 4
Step-by-step explanation:
I used the y = mx + b method, m is your slope and b is your intercept.
Lmk if this answer was useful towards you!
11 7/8 + 3 1/5 - = 15
Winnie the witch just got a new spell book- Quick and Easy Spells for the Overworked Witch. It contains 3 different spells that take 20 minutes each to complete, 5 spells that take 9 minutes each, and 3 spells that take 4 minutes each. She performed 8 spells for 95 minutes. Which spells did she do? (She didn't repeat any spells.)
Answer:
The three spells that take 20 minutes to complete and the five spells that take 9 minutes each
NEED HELP ASAP PLS AND THX Picture is attached
Malinda took a bag of apples on her trip to mars. The apples weighed 5 pounds on earth. How much will the bag of apples weigh on mats?
The bag of apples weighs 1.89 pounds on Mars.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Malinda took a bag of apples on her trip to Mars.
The apples weighed 5 pounds on earth.
The formula is Weight on Mars,
= (Weight on Earth/9.81 m/s²) x 3.711 m/s²
= (5 / 9.81) x 3.711
= 1.89 pounds.
Therefore, the apple weighs 1.89 pounds on Mars.
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Complete the statement about how you could solve the equation 2c−3=2(6−c)+ 7c .
Distribute and collect like terms on each side, , 1 of 3.
Select Choice
12 from each side, , 2 of 3.
Select Choice
2c from each side, then , 3 of 3.
Select Choice
each side by 3.
To solve the equation 2c - 3 = 2(6 - c) + 7c, option 1: Distribute and collect like terms on each side is done.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given equation is 2c−3=2(6−c)+ 7c.
To solve the equation first use the distributive property to multiply 2 by 6-c.
2c - 3 = 12 - 2c + 7c
Next, combine the like terms -2c and 7c to get 5c.
2c - 3 = 12 + 5c
Now, subtract 5c from both left-hand side and right-hand side.
2c - 3 - 5c = 12 - 5c
Next, combine the like terms 2c and -5c to get -3c.
- 3 - 3c = 12
Now, add 3 to both left-hand side and right-hand side.
- 3 - 3c + 3 = 12 + 3
Next, on right-hand side add 12 and 3 to get 15.
- 3c = 15
Now, divide both left-hand side and right-hand side by -3.
(-3c)/-3 = 15/-3
The result is obtained as -
c = -5
Therefore, the solution for the equation is c = -5.
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Please help me with the question
The change Δf is 0.462, value of the estimate is 0.4 and the approximation error is 0.062.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = 2x³ - 2x
x₀ = 1 and dx = 0.1
(a) f(x₀) = f(1) = 2 - 2 = 0
f(x₀ + dx) = f(1.1) = 2 (1.1)³ - (2 × 1.1) = 0.462
Δf = f(x₀ + dx) - f(x₀) = 0.462 - 0 = 0.462
(b) Value of the estimate is,
f'(x) = 6x² - 2
f'(x₀) = f'(1) = 6 - 2 = 4
df = f'(x₀) dx = 4 × 0.1 = 0.4
(c) Approximation error is,
| Δf - df | = | 0.462 - 0.4 | = 0.062
Hence the change, value of the estimate and the approximation error are 0.462, 0.4 and 0.062 respectively.
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Which statement best explains the paradox that occurs to Alexia at the end of the
passage?
A.Alexia realizes that the reward is not worth the cost.
B. Alexia discovers that the prize for being first is misleading.
C. Alexia learns that winning by cheating is not as satisfying as an honest victory.
D.Alexia believes that winning the competition is more important than anything
else.
A statement that best explains the paradox that occurs to Alexia at the end of the passage is she realizes that the reward is not worth the cost. The Option A is correct.
The Excerpt from the Passage of "Virtual Reality":“Hey, Sis,” Eric answered after two rings, shouting over loud music in the background. “Where’ve you been? Why didn’t you return my calls?”
“Sorry, Eric,” Alexia bit her lip guiltily. “I’ve been really busy.”
“Well, I’m sorry too,” Eric replied, “because my old band just asked me to sit in on their weekend shows and I won’t be able to see you at all now.”
Alexia’s heart plummeted. “Oh, Eric, can’t I come see you?”
“No, we’re traveling around the state,” Eric said. “I won’t be back home from school again until spring. I hope whatever was keeping you so busy was worth it. I miss you, Lex.”
As Alexia said goodbye, she noticed that her likes had topped 5,000. She had won, but somehow, she didn’t feel victorious at all.
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I need help on These I’ll give you brainliest
Answer:
its b
Step-by-step explanation: if your doing lcm it would be 40 please comment on this if its not lcm or if I'm just wrong
Write as many expressions as you can for this picture.
Therefore , the solution of the given problem of expression comes out to be area of diagram of given by expression = 12x².
What or who is expression?Mathematicians must be able to multiply, division, add, and remove. An expression would look like this when put together: Data, a mathematical operator, and an equation The elements of a statement of fact, like additions, subtractions, multiplications, divisions, etc., comprise values, variables, and functions. It is feasible to compare and contrast phrases and expressions.
Here,
Given :
A diagram with 13 square
Let us consider it to be x unit each side of square .
So ,
If we want to find the area of this diagram,
We can write an expression as follows:
=> 12*x²
Thus ,
Area of diagram of given by expression = 12x²
Therefore , the solution of the given problem of expression comes out to be area of diagram of given by expression = 12x².
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It has not been shown that _____. The triangles ____ congruent because ______.
A triangle only has 3 sides and 3 angles. If we know 4 distinct side measures or 4 distinct angle measures, then we know the two triangles cannot be congruent.
what is congruent triangles?
SSS: When all three sides are equal to each other on both triangles, the triangle is congruent. AAS: If two angles and a non-included (you can think of it as outside) side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.The term “congruent” means exactly equal shape and size. This shape and size should remain equal, even when we flip, turn, or rotate the shapes.The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.To learn more about triangle refers to:
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. The difference between two natural
numbers is greater than 6 and less than
11. The greater of the two numbers is 14.
How many possible values for the
unknown number are there?
Answer:
y = unknown number
3 < y < 8
Step-by-step explanation:
Let x and y be the two natural numbers
x - y > 6 and x - y < 11
6 < x - y < 11
x is still positive after y amount is taken away from it. Since y is part of x, x is the greater value.
Hence, x=14:
6 < 14 - y < 11 ==> solve for y, the missing value
-8 < -y < -3 ==> subtract 14 on all sides
8 > y > 3 ==> Since each side is being divided by -1, switch the inequality
signs since the numbers are being divided by a negative number
3 < y < 8 ==> rearrange the inequality
Check Your Understanding- Question 4 of 4
Which of these is a situation in which a census is a reasonable option?
Attempt 1 of 2
A. A study of the migration of a species of honeybee
B. A study of a drug's side effects
C. A study of the durability of earthquake-proof building materials
D. A decision among six friends about toppings to get on a shared pizza
HINT
SUBMIT
The term refers to a thorough count, often known as a comprehensive enumeration.
What is meant by census ?
Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.
A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.
The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.
The correct answer is option C. A study of the durability of earthquake-proof building materials.
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Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you. Don’t understand how to work it out. Try to give me a good and simple step by of how to do this. Thanks .
Answer:just add them all together!!
Step-by-step explanation:
Answer: Solving the first one. Feel free to ask questions!
Step-by-step explanation:
Area - number of units inside a given shape (Your using this one)
Perimeter - number of units to cover the outside
Step 1: Determine the needed formulas. In this case, there are 2 rectangles, so we will use Width X Height to solve
Step 2: Break the shape into simple shapes to solve
Step 3: Solve
Solving purple rectangle: 8 is the width, and the height is 2
8 x 2 = 16
Solving pink rectangle: 4 is the height, and 5 is the width
4 x 5 = 20
Step 4: Once all areas are found, add them together
16 + 20 = 36 36 is the total Area
_______________________________________________________
Problem 2
Again there are 2 rectangles, so we will use Width X Height to solve
Step 2: Break the shape apart
Step 3: Solve
Solving blue rectangle: 2 is the width, 3 is the height
2 x 3 = 6
Solving green rectangle: 7 is the width, 3 is the height
7 x 3 = 21
Step 4: Add
6 + 21 = 27 27 is the total Area
* Remember, Every shape has a given formula to find the area*
Here are some that you will need for the worksheet:
-The formula for finding the area of a rectangle is length x width.
-The formula for finding the area of a square is side x side.
-The formula for finding the area of a triangle is base x height 1/2.
-The formula for finding the area of a circle is π x radius x radius.
17.60
2746
3. Jason is buying wings and hot dogs for a party. One package of wings costs $8. Hot dogs cost $5 per
pound. He must spend less than $40. Jason knows he will be buying at least 4 pounds of hot dogs.
Write a system of inequalities to model the situation.
Graph both inequalities and shade the intersection.
Identify 1 solution and justify your answer
a.
b.
C.
Jason is purchasing hot dogs and wings for a party. The price of one set of wings is $8. [tex]7 x+4 y \leq 40[/tex] is the equation system.
How do you shade a graph with two inequalities?x = pounds of wings, y = pounds of dogs that aren't
[tex]$\begin{array}{rl}7 x+4 y \leq 40 \Rightarrow 4 y & \leq-7 x+40 \\ x \geq 5 & y \leq-\frac{7}{4} x+10\end{array}$[/tex]
The inequality's sign will indicate which half-plane to shade, unless you are graphing a vertical line. Shade above the line if either the or > symbol is present. Shade below the line if the symbol "or" is used. When a linear inequality contains the symbols "less than" or "less than or equal to," you should shade below the boundary line. In a linear inequality, you will shade above the boundary line if the symbol is > (greater than) or (greater than or equal to). The approach used to resolve linear inequalities in two variables is the same as that used to resolve linear equations.
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Let set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}.
Which set represents A ∩ B?
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8}
{2, 4, 6, 8}
The intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.
Option (D) is correct.
What is the intersection of two sets?
The intersection of two sets, A and B, is the set of elements that are common to both sets. It is often represented by A ∩ B.
In this case, Set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}. The set that represents A ∩ B is {2, 4, 6, 8} because these are the elements that are common to both sets A and B.
So the correct answer is {2, 4, 6, 8}
Hence, the intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.
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x/a+b=c. solve for x
what type of transformation is it
Answer:
Translation
Step-by-step explanation:
You're moving down 5 units, and left 1 unit, so therefore it's a translation 5 units down and 1 unit to the left.
If f(1) = 8 and f(n) = F(n - 1)-4 then find the value of f(4)
Answer:
Step-by-step explanation:
f(2)=f(1)-4=8-4=4;
f(3)=f(2)-4=0
f(4)=f(3)-4=-4;
7
1 point
Shannon's brother throws a ball into the air while she records the time it takes to hit
the ground and its height. Her data is recorded in the chart below.
Time (seconds)
Height(feet)
1 2 3 4 5 6 7 8
4 11 16 19 20 19 16 11
Which model best represents the data in the chart?
A Logarithmic
B Exponential
C Linear
D Quadratic
O A
9
4
10
0
The correct option D Quadratic, model best portrays provided data in the chart.
Explain the term Quadratic function?f(x) = ax2 + bx + c, for which a, b, and c are integer and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.The relation for the height reached by the ball with time is given as:
Time (seconds): 1 2 3 4 5 6 7 8
Height(feet): 4 11 16 19 20 19 16 11
Plot the graph for the given values.
As it is seen from the graph that the line forms parabola.
Thus, the Quadratic model best portrays provided data in the chart.
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