Answer: x = 4
Step-by-step explanation:
Let's first look at the equation!
5x-2(2x-1)=6
First thing you do is the -2(2x-1) to break the ( )
So, -2*2x = -4x and -2*-1 = 2
So now we have 5x-4x+2=6
Then you see that there are 2 like terms?
Like terms: the terms that contain the same variable which is raised to the same power.
You can do 5x-4x = 1x!
Now we have 1x+2=
Now we do -2 to get rid of the 2!
We will get 1x=4
Now we divide!
1x divided by 1 giving you x!
and 4 divided by 1 giving you
x = 4!
Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.
2x + 7y = -35
4x + 14y = -42
Answer:
Step-by-step explanation:
354
Help me with this two problems pls!
Use each unit rate to find the total.
Andy drove 840 miles in 12 hours. how far could he drive in 3 hours?
Unit rate (speed):
Distance:
Pira drives 825 miles to California.The trip takes him 17 hours. He uses 38 gallons of gas on the trip, which costs him $125
Find his speed
Find his gas mileage
Find the unit price he paid for gas.
Answer: andy drove 280 miles in 3 hours
Step-by-step explanation: are you seriousseious right now?
when data are collected using a qualitative, nominal variable, what is true about a frequency table that summarizes the data?
The number of classes is equal to the number of variables plus 2. A pie chart can be used to summarize the data. The upper and lower class limits must be calculated. correct option is (A).
A Pie Chart is a way of summarizing a set of nominal data or displaying the different values of a given variable. This of chart is a circular divided into a series of of segments. each segment represents a particular category. A pie chart uses percentage to compare information.
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The question was incomplete. Check below the complete question.
When data is collected using a qualitative, nominal variable (in other words, male or female), what is true about a frequency distribution that summarizes the data?
A) The upper and lower class limits must be calculated.
B) Class midpoints can be computed.
C) The "2 to the k rule" can be applied.
D) The number of classes corresponds to the number of a variable's values
If f(x) = -2x + 12, find f(6).
The function f(x) = - 2 · x + 12 evaluated at x = 6 has an output equal to 0.
How to evaluate a linear function
Functions are have three features: Input, relation, output. The input is the independent variable, generally known as x, the relation is how the input and output are related, the output is the dependent variable, generally know as y.
In this problem, we should substitute on the input, make all algebraic operations associated to the relation and determine the variable within the output.
The procedure is now shown:
First, substitute on the input:
x = 6
y = - 2 · 6 + 12
Second, make the algebraic operations involved in the relation:
y = - 2 · 6 + 12
y = - 12 + 12
Third, determine the value within the output.
y = 0
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26.1.2 Exam: Semester Exam
Question 24 of 25
Which situation could be represented by -8?
OA. A distance of 8 meters above sea level
OB. A rise in temperature of 8 degrees
OC. A loss of 8 points
OD. A gain of
$8
SUBMIT
A loss of 8 points is the situation which is represented by integer -8.
What is Number system?A number system is defined as a system of writing to express numbers.
The situation that could be represented by -8 is option C, a loss of 8 points.
The negative sign indicates a decrease or loss in value.
A distance of 8 meters above sea level represents a positive number because the distance is above.
A rise in temperature of 8 degrees is also positive as it is increasing.
A gain of $8 is also represents the positive value.
-8 represents a loss of 8 points.
The negative sign denotes a decrease or loss in value.
Hence, a loss of 8 points is the situation which is represented by integer -8.
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In this figure, AB∥CD and m∠3 = 114°.
What is m∠6?
Answer:
66
Step-by-step explanation:
180 - 114) These angles are supplemental. They add to 180
66
Answer:
m<6=66°
Step-by-step explanation:
Because m<2 and m<3 are both on a straight line, we know they must add to 180°:
m<2 + m<3 =180
We know m<3=114°, so:
m<2 +114 = 180
m<2 = 66
Since AB|CD, m<2 and m<6 are corresponding angels, making them equal, and so m<6=66°.
A bakery used 25% more butter this month than last month. If the bakery used 240 kilogrames of butter last month, how much did it use this month?
Answer:
300kg
Step-by-step explanation:
125/100=x/240
30000=100x
x=300
Which expression equals 24? Responses A (4 x 2) + 3(4 x 2) + 3 B (4 + 3) - 2(4 + 3) - 2 C (4 x 2)(3)(4 x 2)(3) D (2 + 4)(3)(2 + 4)(3) E (4 - 2) + 3
The expression that equals 24 is (4 x 2)(3).
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
(The options are given twice, consider once)
Consider option C.
(4 x 2)(3)
=8 (3)
=8 x 3
=24
So, the expression that equals 24 is (4 x 2)(3).
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Graph the equation y = −4/3x+4
Answer: Here's a graph:
Graph a scatter plot using the given data.
In the question various points of x and y re given to plot the graph.
here is the plot attached below:
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If Eddy wants to have a party and invite all his friends, it is going to cost * 1 point him $150 to cater the party, plus $4 per person for drinks. If he only has $300 to spend, how many people can he invite to his party? Write and solve the equation for the above problem. What is the maximum number of people Eddy can invite?
The maximum number of people Eddy can invite is 37.
How to illustrate the equationThe equation is simply used to show the relationship between the variables given.
In this case, it is going to cost him $150 to cater the party, plus $4 per person for drinks and he only has $300 to spend.
Let the number of persons be represented by p
The equation will be:
150 + (4 × p) = 300
150 + 4p = 300
Collect like terms
4p = 300 - 150
4p = 150
Divide
p = 150 / 4
p = 37.5
The maximum number is 37.
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What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
A. y+3=4(x+1)
B. y−1=4(x−3)
C. y+1=4(x+3)
D. y−3=4(x−1)
Answer:
A. y+3=4(x+1)
Step-by-step explanation:
Lets find an equation having the form y=mx+b, where m is the slope and b the y-intercept. We are given the slope, so let's add that first:
y = 4x + b
That was easy. No how can we find the value for b? We are given a point that the line passes through: (-1,-3). If the line gors through this point, then it must be a valid solution to the equation. Let's use that point in the equation and solve for b:
y = 4x + b
-3 = 4*(-1) + b for point (-1,-3)
-3 = -4 + b
b = 1
The equation becomes y = 4x + 1
Put this into point slope form:
y = 4x + 1
y+3 = 4x + 1 + 3
y+3 = 4x + 4
y+3 = 4(x + 1)
See the attached graph.
if a+b+1.5 is an even integer what is the next consecutive integer
The next consecutive even integer represented by the statement is a + b + 3.5
How to determine the next consecutive integers?The statement in the question is represented as
a+b+1.5 is an even integer
As a general rule of numbering;
Consecutive integers are integers that have a difference of 1These numbers can be negative or positiveIn this case, the integers have a difference of 2
This is so because, they are even integers and even integers have a difference of 2
Solving further, we can represent the integer with x
So, we have
Current integer = a+b+1.5
Rewrite properly
This gives
Current integer = a + b + 1.5
Recall that:
even integers have a difference of 2
This means that
Next consecutive integer = Current integer + 2
Substitute the known values in the above equation, so, we have the following representation
Next consecutive integer = a + b + 1.5 + 2
Evaluate the sum in the above equation
Next consecutive integer = a + b + 3.5
Hence, the next integer is a + b + 3.5
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What represents a linear function?.
The graph of a straight line represents a linear function.
What is a linear function?Any function with one or two variables and no exponents is said to be linear.
The graph of a linear function is a straight line.
Therefore, the graph of a straight line represents a linear function.
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PLEASE HELP GEOMETRY 20 POINTS
Answer:
fourth option
Step-by-step explanation:
The largest angle in the triangle is opposite the longest side
The smallest angle in the triangle is opposite the shortest side
largest side is WX = 14
shortest side is VW = 9
then smallest to largest angles are
∠ X , ∠ W , ∠ V
A box contains 4 pears and 7 oranges. Three fruits are taken out at random and eaten. Find the
probability that
(1) 2 pears and 1 orange are eaten, in any order,
(ii) the third fruit eaten is an orange,
(iii) the first fruit eaten was a pear, given that the third fruit eaten is an orange.
(i) The probability that 2 pears and 1 orange are eaten in any order is equal to [tex]\frac{14}{55}[/tex]
(ii) The probability that the third fruit eaten is an orange is equal to [tex]\frac{7}{15}[/tex]
(iii) The probability that the first fruit eaten was a pear, given that the third fruit eaten is an orange is equal to [tex]\frac{6}{11}[/tex]
What is Probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.For example, the probability of tossing a coin and getting a head is equal to [tex]\frac{1}{2}[/tex]What are Combinations?
Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.The formula for calculating the number of alternative configurations by picking only a few items from a set of objects with no repetition is written as follows in mathematics, [tex]{n \choose k }=\frac{n!}{k!(n-k)!}[/tex]Here, it is given that the box contains 4 pears and 7 oranges in the box.
So, the total number of fruits in the box = 4 + 7 = 11
Combination when 2 pears is chosen out of 4 pears from the box [tex]= {4 \choose 2} = \frac{4!}{2!(4-2)!} =6[/tex]
Combination when 1 orange is chosen out of 7 oranges from the box [tex]= {7 \choose 1} = \frac{7!}{1!(7-1)!} =7[/tex]
Combination when 2 pears and 1 oranges are taken from the box containing a total of 11 fruits [tex]= {11 \choose 3} = \frac{11!}{3!(11-3)!} =165[/tex]
So, the probability that 2 pears and 1 orange are eaten, in any order,
[tex]P(A) =\frac{ {4 \choose 2} \times {7 \choose 1} }{ {11 \choose 3} } \\\implies P(A) = \frac{6 \times 7}{165} \\\implies P(A) = \frac{14}{55}[/tex]
Now, the probability that the third fruit eaten is an orange is given as,
[tex]P(B)= \frac{{1 \choose 4}{1 \choose 3}{1 \choose 7}+{11 \choose 4}{1 \choose 7}{1 \choose 6}+{1 \choose 7}{1 \choose 6}{1 \choose 5}}{A(11,3)} \\P(B)=\frac{460}{990} \\P(B)=\frac{7}{15}[/tex]
Next, we can find the probability that the first fruit eaten was a pear, given that the third fruit eaten is an orange is a conditional probability problem where one event depends on another event.
The probability that the third fruit is orange P(A) is equal to 7/15
The probability that the first fruit eaten was a pear is calculated as,[tex]P(C)= \frac{{1 \choose 4}{1 \choose 3}{1 \choose 7}+{11 \choose 4}{1 \choose 7}{1 \choose 6}}{A(11,3)} \\P(C)=\frac{252}{990} \\P(C)=\frac{14}{55}[/tex]
So, according to conditional probability,
Probability of C given A,
[tex]P(C/A)=\frac{P(C \cap A)}{P(A)} \\\implies P(C/A)=\frac{\frac{14}{55} }{\frac{7}{15} } \\\implies P(C/A)=\frac{6}{11}[/tex]
There, the (i) probability that 2 pears and 1 orange are eaten in any order is equal to [tex]\frac{14}{55}[/tex]
(ii) probability that the third fruit eaten is an orange is equal to [tex]\frac{7}{15}[/tex]
(iii) probability that the first fruit eaten was a pear, given that the third fruit eaten is an orange is equal to [tex]\frac{6}{11}[/tex]
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f(x) = 3x+2
What is f(5)?
Which equations might miguel write? check all that apply. y < 2x – 1 y ≤ 2x – 4 y > 2x – 4 y < 2x 4 y < 3.5x – 4 y < 4x – 4
Answer: 3, 4, 6
Step-by-step explanation: just did it on edge
Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
A number line from negative 7 to 7 in increments of 1. A point is at negative 5 and a bold line starts at negative 5 and is pointing to the right.
A number line from negative 7 to 7 in increments of 1. A point is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 7 to 7 in increments of 1. A point is at 5 and a bold line starts at 5 and is pointing to the left.
A number line from negative 7 to 7 in increments of 1. A point is at negative 5 and a bold line starts at negative 5 and is pointing to the right.
Mark this and return
The correct answer to inequality is option A .
What is inequality equation?
The mathematical expressions with inequalities area unit those with unequal sides on each side.
Main body:
For this case we have the following inequality:
-4(x+3)≤ -2 -2x
Applying distributive property on the left side we have:
-4x - 12≤ -2 -2x
Adding 2x to both sides of the inequality we have:
-4x +2x -12 ≤-2
-2x-12≤-2
Adding 12 to both sides of the inequality we have:
-2x-12 +12≤ -2 +12
Dividing by 2 to both sides of the inequality:
-2x ≤ 10
Multiplying by -1 on both sides, taking into account that the sense of inequality changes:
x≥ -10/2
x ≥ -5
hence, the solutions are given by all values greater than or equal to -5.
so , option A is correct.
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some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 150 cm. a passenger wants to take a box of the maximum allowable volume. if the length and width are to be equal, what should the dimensions be?
Any piece of luggage must have a length, width, and height combined that is less than or equal to 150 cm. A traveler requests to take a package with the maximum permitted volume. if the length and width are to be equal, then the dimensions would be 48*96*72
Any piece of luggage must have a length, breadth, and height combined that is 216 cm or less.
L+W+H=216 (because we want the max volume, we may ignore the "less than part" and set them equal) (since we want the max volume, we can ignore the "less than part" and set them equal)
L = W if the length and width are equal.
Let's construct this new equation by swapping L for W.
Arrange H to the left so that H=216-2W when 2W+H = 216
Consequently, what is volume V=L*W*H=W=W2*(216-2W) =216W2-2W3 div./dW=432W-6W?
2\s432W-6W^2=0
72w-w2=0 divided by 6 on both sides.
W = 72 L H = 72 cm
L=2W is the only item that has altered.
Given that L+W+H=216 and that V=L*W*H=2W*W*(216-3W) =432W2-6W, 3W+H=216
864W-18W2 x 3 V prime
Set V prime to 0, solve it by dividing both sides by 18, and you'll get W = 48. dimensions will be
48, 96, and 72 cm in width ,lenght and height
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33, 25, 42, 25, 31, 37, 46, 29, 38 what is the third quartile (upper quartile) of the data?.
The third quartile (upper quartile) of the data is 38
What is the Median?
The center value or middle value of a data set is the median.
What are the Upper Quartiles?
Upper quartile (Q3) is the center or middle data point of the second half of a data set.
The given data is 33, 25, 42, 25, 31, 37, 46, 29, 38
Order the data set given as:
25, 25, 29, 31, 33, 37, 38, 42, 46
Upper Quartile = 25, 25, 29, 31, 33, 37, 38, 42, 46 = 38
Therefore, the third quartile (upper quartile) of the data is 38
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gold is sold by the troy ounce (31.103 g). what is the volume (in cm3) of 2 troy ounces of pure gold?
1.62 is the volume (in cm3) of 2 troy ounces of pure gold .
What is full answer for density?
A material substance's density is defined as its mass per unit volume. Density is defined as d = M/V, where M stands for mass, and V for volume. The unit of density that is most frequently used is grams per cubic centimeter.We determine the volume, V, corresponding to the given amount of gold. We do this by dividing the given mass, m, by the density, d, such that
V = m/d
m = 31.03 g
d = 19.3 g/ml
We proceed with the solution
V = m/d
= 31.03/19.3
≈ 1.62 ml
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2 lines are perpendicular. The slope of one line is -5/7. what is the slope of the other line?
Answer:
7/5
Step-by-step explanation:
trust me
the downtown business association (dba) in a certain city plans to increase its membership by a total of nnn businesses per year. there were bbb businesses in the dba at the beginning of this year. which function best models the total number of businesses, yyy, the dba plans to have as members xxx years from now?
The function most accurately predicts the total number of companies, y, that the DBA expects to include among its members in x years is y = b + n(x).
Given info,
The Downtown Business Association (DBA) intends to add n new businesses to its membership every year. At the start of this year, the DBA contained b companies. Which function most accurately predicts the total number of companies, y, that the DBA expects to include among its members in x years?
Now,
According to the given information;
y = b + n + n + n + n + n + . . . . . . x times
y = b + n(x)
Hence, the function best models the given case is y = b + n(x)
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wazzupp can yall solve this with solution thank uuu
- 4u + 3 + 6u =5 + 10u
Step-by-step explanation:
[tex]- 4u + 3 + 6u =5 + 10u \\ ⇒ - 4u + 6u- 10u = 5 - 3 \\ ⇒ - 8u = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ ⇒u = - \frac{2}{8} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = - \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Lance is a part-time employee at Subway. One M-W & Friday he works from 4pm-9pm with a non paid 30 minute lunch. On Saturday he works from 12pm til 6pmwith a non paid thirty minute lunch. If he earns $11.75 per hour, how many hours and minutes has he worked and what is his gross pay.
Lance had a gross pay of $117.5 working on Friday and Saturday
How is his gross payTo determine his gross pay, we have to find the number of hours he worked and multiply it by his hourly wage.
This can be done by;
4pm - 9pm = 5 hours.
But he had a non-paid 30 minutes break which will give us his work hours on Friday as 4 hours 30 minutes or 4.5 hours.
On Saturday, he worked from 12pm - 6pm which will give us a work time of 6 hours. He also took a non-paid 30 minutes lunch and his total work time on Saturday is 5 hours 30 minutes or 5.5 hours.
If we add the total numbers of hours worked, we will get
4.5 + 5.5 = 10 hours.
Now we can multiply this by the hourly wage.
10 * 11.75 = 117.5
His gross pay is $117.5
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5.
People Remaining
2000
1800
1600
1400
1000
600
400
200
Hurricane Evacuation
1
2
(3. 1200)
3
4
Time (h)
S
(6.800)
Answer:
Step-by-step explanation: do your work
it 5x=_2
If (3+2)+(2+ bi) = 5-4i, the value of b is
A. -2 B. 2 C. -6
D. 6
Answer:
[tex]b=\frac{-4i-2}{i}[/tex]
So the answer is...
A ) -2
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
The ratio of girls to boys in the school is 3 to 1. If there is a total of 400 students, how many are boys? The answer must be a whole number.
As per the given ratio, the number of boys in the school is 133.
Ratio:
Ratio refers the relationship between two things when it is expressed in numbers or amounts.
Given,
The ratio of girls to boys in the school is 3 to 1.
Here we need to find the number of boys in the school if the total number of students is 400.
Let x be the number of boys in the school.
So, the here we have the ratio from girls to boys and we have to convert it into boys into girls, then we get,
=> girls to boys ratio = 3:1
So, boys to girls ratio = 1:3
We know that the total number of students are 400
Therefore, the number of boys in the school is,
=> 1/3 x 400 = 133
So, the number of boys in the school is 133.
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The owner of a small store buys coats for $45. 00 each. Answer parts a and b. A. He sells the coats for $63. 00 each. What percent of the purchase price is the sale price? The sale price is nothing% of the purchase price
The percentage of the purchase price of the sales price is 55.6%
Given:
The owner of a small store buys coats for $45. 00 each.
He sells the coats for $63. 00 each. What percent of the purchase price is the sale price = ?
Profit = selling price - cost price
Profit = 90-50 = $40
percent of the purchase price is the selling price will be
Purchase or cost price/selling price × 100
= 50/90 ×100 = 55.56%
hence we get the percentage as 55.56%
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