Two-thirds of a number subtracted from nine is seven. Find the number.
Answers
Answer:
3
Step-by-step explanation:
9-2/3x=7
We know that 9-2=7 so 2/3x must be 2
2/3x=2
You have to multiply each side by 3/2
x=3
The number is 3
Related Questions
What is the value of negative 7 divided by 5?
Answers
Answer:
-7/5 or -1.4
Step-by-step explanation:
8. The length of a rectangle is 3 feet longer than the width. If the width is x feet, how long is the rectangle?
Answers
Answer:
Let the width be x feet. As length is 3 feet longer, it is x+3 feet. As perimeter is twice of te sum of length and width, it is 2×(x+3+x)=2×(2x+3)=4x+6 feet.
Step-by-step explanation:
Find measure vzw pls helppppp
Answers
VZW=64
Step-by-step explanation:
Since the lines are straight the angles are equal. 2x+32=3x+16
Solve this for x.
32=x+16
16=x
Put the value for x (16) in to one of the angle equations
2(16) + 32 = 32 + 32 = 64
2. Write 420 as a product of prime numbers.
Answers
Answer:
As a product of prime numbers:
420 = 2 × 2 × 3 × 5 × 7
Simplify each expression. select the correct answer from the dropâ€""down menu. −6(3i)(−2i) = 2(3 − i)(−2 4i) = 2i(4 − 5i) =
Answers
By simplifying each expression:
−6(3i) (−2i) = -36
2(3 − i)(−2 + 4i) = -4+28i
2i(4 − 5i) = 10+8i
Simplifying each expression step by step:
1. −6(3i)(−2i) = -6 (-6i²)
= 36 (-1)
= -36
2. 2(3 − i)(−2 + 4i)
= 2 x (-6+12i+2i-4i²)
= -12 +24i +4i - 8i²
= -12 - 8i² +28i
=-12 - 8 (-1) + 28i
= -4+28i
3. 2i(4 − 5i)
= 8i - 10i²
= 8i -10(-1)
= 10+8i
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If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis? Two lines in a plane intersect at a point.
Answers
When the statement is rewritten as a conditional statement in if-then form, the option that best describes the hypothesis is B. Two lines intersect at a point
What is a conditional statement?A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true whenever P is true.
There is a conditional statement. We will not play if it is raining. Let's say A: it's raining and B: we're not going to play. If A is true (it is raining) and B is false (we played), then the statement A implies B is false.
If the original sentence is restated as an if-then conditional statement, the hypothesis is best described as two lines intersecting at a point. As a result, the statement "Two lines intersect at a point" is the correct option (B) and the best option.
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Complete question
If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?
Two lines in a plane intersect at a point
A. Two lines in a plane intersect
B. Two lines intersect at a point
C. A point exists
D. Points are in a plane
X
y
1
9
2
7
3₂
3
6
4
7
1 -2
a. Graph the points above as a scatter plot.
b. Calculate the correlation coefficient.
8
-5
10
-8
10
X is top y is bottom
Answers
The correlation coefficient of points is a negative correlation.
The given coordinates are (1, 9), (2, 7), (3, 6), (4, 1), (7, -2),(8, -5) and (10, -8).
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
• A scatter plot with increasing values of both variables can be said to have a positive correlation.
• A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.
The given coordinate points are plotted on graph.
From the graph (scatter plot) we can see that, the points have a negative correlation.
Therefore, the correlation coefficient of points is a negative correlation.
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About 1 percent of the population has a particular genetic mutation. 100 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 100.
Answers
Answer:
1/100 or just 1
Step-by-step explanation:
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help plss!!!
Based on the tables showing the price of buying different amounts of two brands of sugar. Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?
Answers
Answer: b
Step-by-step explanation:
Answer:
He will save 1 cent per pound if he buys the Sweet Sugar brand
Given f(x) = -11x² + 5, what is the value of f(4)?
Answers
Answer: f(4) = -171
Step-by-step explanation:
To answer this question, we will solve the function for 4. In other words, we will input 4 into the function and simplify. Don't forget the order of PEMDAS when simplifying.
Given:
f(x) = -11x² + 5
Input of 4:
f(4) = -11(4)² + 5
Raise to the power of 2:
f(4) = -11(16) + 5
Multiply:
f(4) = -176 + 5
Add:
f(4) = -171
the food and drug administration (fda) is a u.s. government agency that regulates (you guessed it) food and drugs for consumer safety. one thing the fda regulates is the allowable insect parts in various foods. you may be surprised to know that much of the processed food we eat contains insect parts. an example is flour. when wheat is ground into flour, insects that were in the wheat are ground up as well. the mean number of insect parts allowed in 100 grams (about 3 ounces) of wheat flour is 75. if the fda finds more than this number, they conduct further tests to determine if the flour is too contaminated by insect parts to be fit for human consumption. the fda takes a random sample of 35 bags of flour for evaluation and finds that they contain an average of 80 insect parts per 100 grams, with a standard deviation of 6.3. which hypothesis test should be used to determine whether the sample contains more than the allowed 75 insect parts per 100 grams?
Answers
From the information, observe that the food and drug Administration is a US government agency that regulates food and drugs for customer safety.
One thing the FDA regulates is the allowable insect parts in various foods.
When wheat is ground into the flour, insects that were in the wheat are ground up as well.
The mean number of insect parts allowed in 100 grams of wheat flour is 75
The FDA takes a random sample of 35 bags of floor for evaluation and finds that their average of 80 insect parts per 100 grams with a standard deviation of 6.3
In this situation use t test for population mean because the population standard deviation is not known.
Hence, the correct option is (2).
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f(x)=x+a/x+b such that f(f(1))=0 and f(2)=-3 then the values of a and b respectively
Answers
The values of a and b are 8 and - 9.
Given that:
f(x) = x + a/x + b ........ (1)
f(1) = 0, f(2) = - 3
Putting the value of x = 1 in equation (1). We get,
f(1) = 1 + a/1 + b
f(1) = 1 + a + b ....... (2)
Putting the value of x = 2 in equation (1). We get,
f(2) = 2 + a/2 + b
f(2) = (4 + a + 2b)/2 ........ (3)
Putting the value of f(1) = 0 in equation (2). We get,
a + b = - 1 ......... (4)
Putting the value of f(2) = -3 in equation (3). We get,
=> -3 = (4 + a + 2b)/2
=> -6 = (4 + a + 2b)
=> a + 2b = - 10 ......... (5)
To find the value of a and b we have to solve equations (4) and (5) by elimination method.
So, for that subtract equation (4) from (5).
We got the value of b = - 9.
Then put the value of b in equation (4).
We got the value of a = 8.
Checking the value of a and b satisfies the value of the function's output and input.
Hence, the values of a and b are 8 and - 9 respectively.
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The sides of a triangle are in the ratio of 3:4:5. A man jogged around it 5 times and cover a distance of 3000m What are the sides of the triangle?
Answers
The sides of the triangle are 150m, 200m and 250m.
What is distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Given: The sides of a triangle are in the ratio of 3:4:5. A man jogged around it 5 times and cover a distance of 3000m.
As man jogged around triangle 5 times and cover a distance of 3000m.
So, the distance for one round is 3000/5 = 600m.
The covered distance is nothing but the perimeter of the triangle.
So, the perimeter of the triangle is 600m.
Let, 3x, 4x, 5x are the sides of the triangle.
⇒ 3x + 4x + 5x = 600
12 x = 600
x = 50
Therefore,
3x = 3(50) = 150
4x = 4(50) = 200
5x = 5(50) = 250
Hence, the sides of the triangle are, 150m, 200m and 250m.
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= y = 3x - 4? help me pls
Answers
Answer:
Step-by-step explanation: add 4 to cancel out, dive both sides by 3, y=1.3 repeating
To rent a taxi in Philadelphia, the taxi service charges a flat rate of
$35.80 and an additional $5.60 per mile driven. Write an equation
in slope-intercept form where x represents the distance of the trip,
and y represents the amount the taxi service would charge to drive
that distance.
Please I need help badly
Answers
Answer:
y = 5.60x + 35.80
Step-by-step explanation:
trust
The variable p represents number of presents. If it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used. If there are 7 presents, how much ribbon is needed? Ribbon is sold in 15 feet packages. How many do you need to buy?
Answers
The number of ribbons needed is 73
The number of ribbons to buy is 109. 5
What is a function?A function can be described as an expression or rule that explains the relationship between two main variables in an equation.
These variables are called;
Independent variableDependent variableWe have the expression;
N = 10p + 3
Where 'p' represents the number of presents
N is the number of ribbons
Now, let's substitute the value of p as 7
N = 10(7) + 3
N = 70 + 3
N = 73 ribbons
If 10 feet = 73 packages
15 feet = x
cross multiply
x = 73(15)/10
x = 109. 5 ribbons
Hence, the value is 73
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a parking garage charges the rates in the table below. what is the rate of change? don’t forget your units.
Answers
ChangeA in dependent variable/ Change in independent variable
Let x denotes the number of hours and y denotes the cost of parking.
Here, X- independent variable and Y- dependent variable
Now, rate of change: change in y/ change in x
= 14-10/3-1=4/2=2
Here, the rate of change =$2 per hour.
Again change of rate= change in y/ change in x
=16-14/5-3=2/2=1
Here the change of rate =$1 per hour
Since both rates of changes are not equal, it means the rate change is not constant.
a determined gardener has 100 ft of deer-resistant fence. she wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 600 ft2. what range of values (in ft) is possible for the length of her garden? (enter your answer using interval notation.)
Answers
The range of values for the rectangle length is 20 ≤ y ≤ 30 .
What is a rectangle made of?
With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object. A rectangle's opposing sides are equal and parallel. Rectangles are two-dimensional shapes, and as such, they have length and width as their defining characteristics.The garden is to be rectangular shape.
Let x = width
Let y = length
Set the equations for perimeter and area.
2(x + y) = 100 -----> perimeter
x + y = 50 ------> perimeter
xy = 600 ----> area
We have two equations to work with.
x + y = 50 eq1
xy = 600 eq2
Substitute eq1 into eq2. We can get eq2 in terms of x.
x(50 - x) = 600
-x2 + 50x = 600
-x2 + 50x - 600 = 0
Divide both sides of the equation by -1, so that we have a positive x2. The goal is to try to use FOIL to factor.
x2 - 50x + 600 = 0
(x - 30)(x - 20) = 0
x = 30 and x = 20
Next, we plug in these values of x into eq1 to solve for y.
y = 50 - x and y = 50 - x
y = 50 - 30 y = 50 - 20
y = 20 y = 30
Based on this, the range of values for the length is
20 ≤ y ≤ 30
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Write the equation of the line in fully simplified slope-intercept form.
go
9
876
8
5
10 %
4
321
-12-11-10-9-8-7-6-5-4-3-2-1
-1
-2
2 3 750 0
-3
-4
-5
-6
5999 2
-7
-8
-9
-11
-12
1 2 3 4 5 6 7 8 9 10 11 12
Answers
The equation of the line in fully simplified slope - intercept form is 5x + y = 8 .
In the question ,
a graph of the line is given , we need to find the equation of the given line in the simplified slope - intercept form .
to find the equation , we need minimum two points ,
So , from the graph
we can see that
when x [tex]=[/tex] 0 , the value of y [tex]=[/tex] 8 ,
the first point is (0 [tex],[/tex] 8) .
when x [tex]=[/tex] 2 , the value of y [tex]=[/tex] -2 ,
the second point is (2 [tex],[/tex] -2) .
the slope can be calculated by
slope = (-2-8)/(2-0)
= -10/2
= -5
So , the equation of the line passing through point (2,-2) with slope -5 , in the slope intercept form is
(y -(-2)) = -5(x-2)
y + 2 = -5x + 10
Simplifying further , we get
5x + y = 10 - 2
5x + y = 8
Therefore , The equation line in fully simplified slope - intercept form is 5x + y = 8 .
The given question is incomplete , the complete question is
Write the equation of the line in fully simplified slope-intercept form, the line graph is shown below .
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
75, 76, 77, 78, ...
Answers
Answer:
x + 1
Step-by-step explanation:
75+n2+n3...+..77..+..n99++
Difference = 76-75=1
x + 1
Where x is the chosen/inital number.
Segment RS is reflected over the line y = x and then translated by (x+3, y + 4). The resulting segment
RS" has coordinates R" (-1,4) and S" (-3,-2). What are the coordinates of the segment RS?
Answers
The original coordinates are R= (-6,-6) and S = (-4,0)
What is translation?
Translation in mathematics is a property in which we shift each coordinate on a line by a constant value.
We are given that we originally had a segment RS which is reflected over the line y = x and then translated by (x+3, y+4) after this the segment we get the coordinates are R'' (-1,4) and S( -3,-2)
We are asked to find the coordinates of R and S
To find the coordinates we first reverse the process we subtract 3 from both x coordinate and 4 from both y coordinate
Hence we get,
R' = (-1,4)-(3,4)
R' = (-4,0)
And
S' = (-3,-2)-(3,4)
S' = (-6,-6)
Now to find the original coordinates we reverse the coordinates
Hence we get,
R= (-6,-6) and S = (-4,0)
Therefore the coordinates are R= (-6,-6) and S = (-4,0)
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−0.25 + 316 + 2112? what is the answer to this and how did i solve it?
Answers
Answer:
Step-by-step explanation:
2427
if rounded 2427.8
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenth place.
Answers
Answer:
550.4 square units.
Step-by-step explanation:
This problem is easier than it seems.
To find the area of the parallelogram, multiply 11 and 32 to get 352 sq. units
The two semicircles must be equal because the sides of a parallelogram must be equal.
So if you add the semicircles together, you get a circle.
So we're really finding parallelogram+circle.
The area of a circle is [tex]\pi[/tex]x[tex]r^{2}[/tex], and the circle's radius is 8 because the radius is half of the diameter.
[tex]\pi[/tex]≈3.1 because you're rounding to the nearest tenth.
3.1x64=198.4 sq. units
198.4+352=550.4 square units.
Each year, the Department of Water Works measures the chloride concentration level in the water. The first year, they found the chloride concentration changed by −1.6 mg/L−1.6 mg/L . It is estimated that the chloride concentration will change −2.2 mg/L−2.2 mg/L the next year. What is the total change that will likely occur in 2 years? Enter your answer in the box.
Answers
Answer:
L
Step-by-step explanation:
Jerald i having drain iue at hi home and decide to call a plumber. The plumber charge $35 to come to hi houe and $60 for every hour they work. If the plumber charge Jerald a total of $305, how many hour did the plumber work?
Write and olve an equation to determine the number of hour worked by the plumber
Answers
The calculation for the plumber's total number of hours worked is 190 = 35 + 50x, where the result is 3.1 hours.
A linear equation is what?
It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.
It follows that:
Jerald chooses to call a plumber after discovering a problem with his home's drains.
The plumber bills him $35 to visit his home and $50 per hour of work.
Suppose there are x hours in a day:
190 = 35 + 50x
50x = 155
x=3.1 hours
As a result, the answer to the question of how many hours the plumber worked is 190 = 35 + 50x, which is 3.1 hours.
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Given f(x) = 19 - 4x|, find f (7)
Answers
The value of f(7) is 9 given that f(x) = |19 - 4x|
How to determine the value of f(7)?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given: f(x) = |19 - 4x|
To find f(7), substitute x = 7 into f(x) = |19 - 4x|:
f(7) = |19 - 4(7)| = |19-28| = |-9| = 9
Note: The sign | | means absolute, the sign of any value inside it will be discarded and only the number is written
Therefore, f(7) is 9
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Mr. C is buying some Hot Cheetos for our school hangout. He can buy an 18 ounce bag for $4.50 or he can buy a 40 ounce bag of the same Cheetos for $8.80. Which bag of Hot Cheetos offers the lowest price ounce?
Answers
Answer:
Step-by-step explanation: You want to figure out how much it costs per ounce. You’ll divide $4.50/18 ounces to get $0.25 per ounce for the 18 ounce bag and $8.80/40 ounces to get $0.22 per ounce for the 40 ounce bag. The 40 ounce bag is cheaper per ounce.
One year, the population of a city was 325,000. Several years later it was 263,250. Find the percent decrease.
Answers
The percentage decrease of the population of a city is 19%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, the population of a city was 325,000 and several years later it was 263,250.
The percentage decrease will be:
= Decrease in population / Original population × 100
= (325000 - 263250) / 325000 × 100
= 61750 / 325000 × 100
= 19%
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Solve the equation for y
Answers
Answer:
y = [tex]\frac{2}{3}[/tex] x - 6
Step-by-step explanation:
y - [tex]\frac{2}{3}[/tex] x = - 6 ( isolate y by adding [tex]\frac{2}{3}[/tex] x to both sides )
y = [tex]\frac{2}{3}[/tex] x - 6
can someone help me really quick
Answers
Answer:
100 meters every minute
Step-by-step explanation:
d=100(1)
d=100
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