The solution of the equation 4 = 13 – 3x is x = 3 which is the correct answer would be an option (B).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given an equation as
4 = 13 – 3x
Rearrange the terms non-variables and variables,
3x = 13 - 4
Apply the subtraction operation,
3x = 9
x = 9/3
Apply the division operation, and we get
x = 3
Therefore, the correct answer would be an option (B).
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let P = (x,y) and Q = (1, 5). suing formula that you know for slope write an eqation in these terms of coordinates that says that the slope of line PQ is 3. show how this slope equation can be rewritten in the form y - 5 =3 (x -1).this linear eqation is said to be in point-slopr form. explain the terminology find coordinates for three diffrent points p that fit this equation
The equation of a line in point-slope form is y - 5 = 3( x - 1).
What is the equation of a line in slope intercept form?Equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.The slope of a line is defined as the rate of change of the y-axis with respect to the x-axis.
We know the equation of a line in point-slope form is y - y₁ = m(x - x₁).
Given P = (x,y) and Q = (1,5) or (x₁, y₁).
∴ Equation of a line in point-slope form given (x₁,y₁) = (1,5) and slope(m) = 3 is y - 5 = 3( x - 1).
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What is the expanded form of this number?
570.086
Responses
(5×100)+(7×10)+(8×1100)+(6×1100)
left parenthesis 5 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 8 times 1 over 100 right parenthesis plus left parenthesis 6 times 1 over 100 right parenthesis
(5×100)+(7×10)+(8×1100)+(6×11,000)
left parenthesis 5 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 8 times 1 over 100 right parenthesis plus left parenthesis 6 times 1 over 1000 right parenthesis
(5×100)+(7×10)+(8×110)+(6×1100)
left parenthesis 5 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 8 times 1 over 10 right parenthesis plus left parenthesis 6 times 1 over 100 right parenthesis
(5×100)+(7×10)+(8×110)+(6×11,000)
The expanded form of this number 570.086 will be (5 × 100) + (7 × 10) + (8/100) + (6/1000)
How to illustrate the information?It should be noted that expanded form simply means breaking down the number given into different units. A number can be written in expanded form by multiplying the sum of its digits.
The steps for writing a number in extended form are listed below.
Get the number in its simplest configuration.Determine its place values using the place value chart.Place value is multiplied by the number.Therefore, based on the information illustrated. This will be:
570.086 will be:
= (5 × 100) + (7 × 10) + (8/100) + (6/1000)
Note that your options aren't written well.
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Answer:
B I took semester test on k12 and got 100 Tell me if you want more answers
Step-by-step explanation:
En la clase de gimnasia de Zuri, hay 27 estudiantes en total, 21 estudiantes usan anteojos. ¿Cuál es el porcentaje de estudiantes que usan anteojos?
Answer:
eme I sh na d9 si me 08 met sup Auburndale el sn ap7 42
The sun three times a number x and 10 is -14
Answer: 3x+10=-14
I'm assuming you mean the sum three times a number x is -14
Step-by-step explanation:
3 times is 3 multiplied with a number, 3x
sum means the value you get from addition so it would be 3x+10 as its a number and ten
as the sum is -14 you set 3x+10 equal to -14
You are creating identical candy bags using 36 chocolate bars and 81 caramel bars. what is the greatest number of bags you can fill using all the candy?
The greatest number of bags that can be filled using all the candy is 9.
The greatest number of bags that can be filled using all the candy can be determined by calculating the greatest common factor (GCF).
The greatest common factor of two or more numbers is a term used in mathematics that can be described as the greatest number among all the common factors of these numbers. If x and y are two numbers, GCF is the largest number that divides both x and y without leaving any remainder.
As there are 36 chocolate bars and 81 caramel bars, therefore we determine the GCF of 36 and 81;
The common factors of 36 and 81 are found to be: 1, 3 and 9
Hence the greatest common factor (GCF) out of these is 9.
Therefore the greatest number of bags that can be filled using all the candy is calculated to be 9
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At one time the thickness of different gauges of stainless steel were give. In fractions of an inch. Today, those thicknesses are listed as decimal numbers. Convert each of the following fractional thicknesses to decimal form.
Following are the fractions in decimal form.
What do fractional parts mean?A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.
It is calculated by dividing the total number of parts by the number of equal parts that were counted (numerator) (denominator). Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.
a) 15 / 32 = 0.46875
b) 21/64 = 0.328125
c) 9/16 = 0.5625
d) 3/8 = 0.375
e) 1/80 = 0.0125
f) 11/1280 = 0.008593
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Consider U = {x|x is a positive integer greater than 1}.
Which is an empty set?
{x|x € U andx is prime}
O {x|x E U and 2x is prime}
{x|x € U and x can be written as a fraction}
{x|x E U and 2x can be written as a fraction}
Options 3 and 4 are empty sets.
What is an empty set?Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.
We can also define finite and infinite sets based on the number of elements in a set. An empty set is denoted by the symbol '∅' and is read as 'phi'.
Given U = {x|x is a positive integer greater than 1},
It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).
As the elements in the option 3 and 4 are fractions, therefore they are empty set as integers don't include fractions or decimals. Integer, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.
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The experimental of spinning a 1 or a 3 is _?
we have that
the experimental probability of spinning a 1 is 8 times
and
the experimental probability of spinning a 3 is 9 times
so
the experimental probability of spinning a 1 or a 3 is
8+9=17
answer is 17
Which is the better buy? 2-cup carton of milk for $0.56 2-quart carton of milk for $3.76
Given:
2-cup carton of milk = $0.56
2-quart carton of milk for $3.76
To find which of them is a better buy, let's calculate the price of each cup for both.
i) 2-cup carton of milk = $0.56
1 cup =
[tex]\frac{0.56}{2}\text{ = }0.28[/tex]Here, 1 cup carton of milk is $0.28
ii) 2-quart carton of milk = $3.76
Given that 1 quart = 4 cups
2 quart = 4 * 2 = 8 cups
Thus
1 cup =
[tex]\frac{3.76}{8}\text{ = }0.47[/tex]Here, a cup carton of milk is $0.47
$0.28 is less than $0.47, therefore the better buy would be 2-cup carton of milk for $0.56.
Therefore, the best buy would be 2-cup carton of milk for $0.56, because it is cheaper.
ANSWER:
2-cup carton of milk for $0.56
9. Which phrase best describes the translation from the graph y = (x - 2)2 to the graph of y=x²-3? O2 units left and 3 units up O2 units left and 3 units down O 2 units right and 3 units up O 2 units right and 3 units down
The transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down therefore, option (B) is correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
As per the given graph y = (x - 2)²
A function will shift a unit left for x → x + a and b units down if y → y - b.
Replace x → x + 2 and y → y - 3
y = (x + 2 - 2)² - 3
y = x² - 3
Therefore, the transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down".
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In the Honor Society at Carter Middle School, 54% of the members are girls. There are 108 girls in the Honor Society. How many members are there in total?
Answer:
46x2=92 108+92= 200 total members
Step-by-step explanation:
108/2=54% so 46%x2members = 92 members.
The Chan’s minivan requires 5 gallons of gasoline to travel 120 miles. How many gallons of gasoline will they need to travel 360 miles?
Answer:
15 gallons
Step-by-step explanation:
360 divided by 120= 3
3×5=15
Graph the following features:
• Y-intercept = -3
Slope = -3
●
-10 -9
-8
-5 -4 -3
10
-1
10
9
8
7
6
5
4
32
10
2
1
-1
21
-3
-4
-5
-6
-7
-8
-9
-10
1 2 3 4 5 6 7 8 9 10
x
Answer: ed3mt5i
Step-by-step explanation:
ok let me study
Write the equation of a line perpendicular to 8x-3y=-4 that passes through the point (-8,2).
Answer:
y=-8/3x-58/3
Step-by-step explanation:
8x-3y=-4 is y=8/3x+4/3
Make x negative so it is perpendicular
The plug (-8,2) so
2=8/3(-8)+b
Then
2=-64/3+b
-58/3=b plug b in to the equation so
You get
y=-8/3x-58/3
give brainliest pls
Answer:
3x + 8y = - 8
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 )
given
8x - 3y = - 4 ( subtract 8x from both sides )
- 3y = - 8x - 4 ( divide through by - 3 )
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{8}{3}[/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{8}{3} }[/tex] = - [tex]\frac{3}{8}[/tex] , then
y = - [tex]\frac{3}{8}[/tex] x + c ← is the partial equation of the perpendicular line
to find c substitute (- 8, 2 ) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = - [tex]\frac{3}{8}[/tex] x - 1 ← equation of perpendicular line in slope- intercept form
multiply through by 8 to clear the fraction
8y = - 3x - 8 ( add 3x to both sides )
3x + 8y = - 8 ← equation of perpendicular line in standard form
A bag of tokens contains 5 red, 7 green, and 10 blue tokens. What is the probability that a randomly selected token is red? Enter your answer as a fraction.
SOLUTION
Notice that the total number of tokens is:
[tex]5+7+10=22[/tex]Notice that the number of red token is 5
Therefore the probability of that a selected token is red is:
[tex]P(R)=\frac{5}{22}[/tex]2.56 = 2w solve for w
Answer: w=1.28
Step-by-step explanation:
swap the sides of the equation
2w=2.56
divide both sides of the equation by two
w=1.28
Point Q lies in the interior of ZRST.
(1
If mZRST= 125°, mZRSQ = 4x-7, mZQST= 11x + 12, then find x.
The number of maps remaining at an information booth can be modeled by the function f(x)=274-32r where x is the number of hours that have
elapsed since the booth opened. Which statement is true?
O Every hour 274 maps are given away
O Every hour, 242 maps are given away
O There were 32 maps at the booth before it opened
O There were 274 maps at the booth before it opened
Describe the relationship between the 5's in the number 655,572:
The five in the 55 place is 5 times greater than the 5 in
the thousands places.
Answer:
im jus trying to get points lol
Step-by-step explanation:
Eloise practiced piano for 2/5 of an hour. Sarah practiced piano for 3/4 of an hour.
How much longer did Sarah practice than Eloise?
Enter your answer as a fraction in simplest form by filling in the boxes.
Sarah practiced 7/20 of an hour more than Eloise
Given
Eloise did practice 2/5 of an hour
Sarah practiced for 3/4 of an hour
total time spent by Eloise = 2/5 x 60
= 24 minutes
Total time spent by Sarah = 3/4 x 60
= 45 minutes
Hence Sarah spent 45-21 minutes more.
Sarah spent 21 minutes more than Eloise
Converting into fractions 21 minutes will be,
a/b x 60 =21
7/20 minutes
As a result, Sarah practiced the piano for 7/20 more minutes than Eloise.
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4) Write the coordinates of the vertices after a translation 4 units left and 2 units down.
-10 -8 -6
-4
2
>
104
8
6
72
T
2
-4
-6
IN
2
4
6
10
U
Answer:
Step-by-step explanation:
Can you write it in lines instead of like that, I can answer if you do that.
A pet store clerk suggested 5 small fish for a 6-gallon fish tank. What size tank would be suggested to hold 40 small fish?
33-gallon tank
48-gallon tank
160-gallon tank
200-gallon tank
The size of the tank would be suggested to hold 40 small fish is 48 gallons. (Solved using ratios)
What is a ratio?
A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains seven apples and six lemons, the apple-to-lemon ratio is seven to six. Similarly, the proportion of lemons to oranges is 6:7, while the proportion of oranges to overall fruit is 8:14. (or 4:7). A ratio can be defined by providing both constituent integers, which are written as "a to b" or "a:b," or by providing only the value of their quotient a/b. Equal quotients result in equal ratios. A and B are frequently referred to as ratio words, with A being the antecedent and B being the consequent.
This can be solved using ratios
size of tank = 40x6/5 = 48 gallon
The size of the tank would be suggested to hold 40 small fish is 48 gallons.
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3) Factories A and B produced potato chips. Last year, each factor
ingredient. Factory A reported their amounts in scientific ne
their amounts in standard form.
Ingredient Factory A (amount used in lbs) Factory B
Potato
4.87 × 106
5.61×10³
2.87 × 10³
a) Which factory used more oil last year? By how much'
Oil
Salt
b) what is the total amount of salt use by both factories?
c) what is the total weight of all of the ingredients in Factory A?
Factory A uses more oil by 2.05×10⁵ lbs, total salt used is 4.805×10⁵ lbs and total ingredients used in factory A are 57.18×10⁵ lbs.
a) The oil used by Factory A = 5.61×10⁵ lbs
The oil used by Factory B = 3,56,000 lbs
The oil used by Factory B = 3.56×10⁵ lbs
Comparing the coefficient. Since 5.61 is greater than 3.56, the factory A used more oil. Difference in amount = 5.61×10⁵ - 3.56×10⁵
Difference in amount = 2.05×10⁵ lbs
b) Salt used by Factory A = 2.87×10⁵ lbs
Salt used by Factory B = 193,500 lbs
Salt used by Factory B = 1.935×10⁵ lbs
Total salt used by both the factories = 2.87×10⁵ + 1.935×10⁵ lbs
Total salt used by both the factories = 4.805×10⁵ lbs
c) Potato used by Factory A = 4.87×10⁶ lbs
Potato used by Factory A = 48.7×10⁵lbs
Oil used by Factory A = 5.61×10⁵ lbs
Salt used by Factory A = 2.87×10⁵ lbs
Total ingredients used in Factory A = 48.7×10⁵ + 5.61×10⁵ + 2.87×10⁵ lbs
Total ingredients used in Factory A = 57.18×10⁵ lbs
2.05×10⁵ lbs more oil is used by Factory A, 4.805×10⁵ lbs is the total amount of salt used and 57.18×10⁵ lbs ingredients are used in factory A.
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The complete question is attached in figure.
Not sure how to find the area of this shape. Please help asap
Answer:
6.75m^2
Step-by-step explanation:
The shape is made up of a trapezoid on top and a rectangle on the bottom.
The rectangle's area is easier, so first:
Area_rectangle
= length × width
= 2.5 × .5
= 1.25 m^2
For area of a trapezoid, you need three measures: both bases and the height.
One base is 3m. The other base is the top side of the rectangle, so it is 2.5m.
The height is
2.5 - .5
because the height of the trapezoid is not including the rectangle, so take away .5
Trapezoid's height is 2.5 - .5 is 2.
Area_trapezoid
= 1/2 (base+base)height
= 1/2 (3+2.5)2
=5.5
Area_total
= Trapezoid+rectangle
= 5.5 + 1.25
=6.75m^2
The total area is 6.75square meters.
Answer:
Area = 6.75 meter square.
Step-by-step explanation:
The remainder is what number (only type the number)
1. What is P(-2) given that P(x) = x - 3x² + 5x + 10?
Does This graph represents a proportional or not proportional relationship
The given graph is a proportional Relationship graph.
What are proportional relationship graph?A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same.
Let us formulate a table of values of given graph
Time Distance
5 6
10 12
15 18
Now let us check whether the given values are making equivalent ratios or not by definition of proportional graphs.
5/6 is one
10/12 is 5/6
15/18 is 5/6
Hence the ratios are equivalent. The graph has same slope everywhere and passing through the origin.
Hence the graph is Proportional.
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I messed up and didn’t show this for my last question, so sorry on my part.
Evaluate the function for the following values
f(-2)=
f(0)=
f(3)=
It takes 2 cups of water to cook 1 cup of rice.
How much water dose it take to cook 6.5 cups of rice?
Answer:
13 cups of water.
Step-by-step explanation:
6.5 x 2 = 13
Answer = 13.
Hope this helps!
Btw, brainliest if correct, thanks!
You and your friends plan to attend the county fair this weekend. The admission to the fair is $5 and the cost per ride is 50 cents. If your parents gave you $20, write and solve a linear equation to find how many rides you can go on.
The linear equation to find how many rides you can go on is 5 + 0.5x = 20 and there'll be 30 rides.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The linear equation will be:
Let the number of rides be x.
This will be:
5 + (0.5 × x) = 20
5 + 0.5x = 20
Collect like terms
0.5x = 20 - 5
0.5x = 15
Divide
x = 15 / 0.5
x = 30
The number of rides is 30
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There will be 30 rides, and the linear equation to determine the total number of rides is 5 + 0.5n = 20.
What are the equations?Mathematical statements which have at least two terms with equal quantities or variables are called equations.
Let n be the total number of rides.
The fair's entrance fee is $5, and each ride costs 50 cents, and parents gave $20 which is given in the question.
According to the given situation, the required equation as
⇒ 5 + 0.5 × n = 20
⇒ 5 + 0.5n = 20
⇒ 0.5n = 20 - 5
⇒ 0.5x = 15
Divide by 0.5 into both sides of the equation,
⇒ n = 15 / 0.5
⇒ n = 30
Therefore, the total number of rides will be 30.
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Bryant learned a total of 12 appetizer recipes over the course of 3 weeks of culinary school. After 12 weeks of culinary school, how many total appetizer recipes will Bryant know?
After 12 weeks, Bryant will know 48 appetizers
How to calculate the number of appetizers ?The first is to calculate the number of appetizers learnt in one week
12= 3
x= 1
cross multiply both sides
3x= 12
x= 12/3
x= 4
The number of appetizers learnt in 12 weeks can be calculated as follows
4= 1
y= 12
cross multiply both sides
y= 12 × 4
= 48
Hence 48 appetizers was discovered in 12 weeks
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