The product of seven and a number, increased by three, is equal to twice the number, subtracted from 39. Find the number
Answers
It is given that the product of 7 and a number, increased by 3, is equal to twice the number, subtracted from 39.
It is required to find the number.
To do this, write the statement as an algebraic statement.
Let the number be x.
The product of 7 and a number is:
[tex]7x[/tex]The product of 7 and a number increased by 3 is:
[tex]7x+3[/tex]Twice the number is:
[tex]2x[/tex]Twice the number subtracted from 39 is:
[tex]39-2x[/tex]Since it is given that these expressions are equal, it follows that:
[tex]7x+3=39-2x[/tex]Solve the resulting equation for x:
[tex]\begin{gathered} \text{ Collect like terms:} \\ \Rightarrow7x+2x=39-3 \\ \Rightarrow9x=36 \\ \text{ Divide both sides by }9: \\ \Rightarrow\frac{9x}{9}=\frac{36}{9} \\ \Rightarrow x=4 \end{gathered}[/tex]The number is 4.
Related Questions
Which correctly shows the title of a movie?
"In an Old House"
In an Old House
Answers
Answer:
The answer to your question is A "In an Old House" I hope this helps
Sorry if I am wrong
Answer: It would be "In an Old House"
Step-by-step explanation:
2(3/4L-1) + 2(18) = 2L + 2(12)
Answers
2(3/4L-1) + 2(18) = 2L + 2(12)
Distribute
3/2 L -2 +36 = 2L +24
Subtract 3/2 L from each side
-3/2 L-3/2L
-2+36 = 4/2L-3/2L +24
34 = 1/2L +24
Subtract 24 from each side
34-24 = 1/2 L +24-24
10 = 1/2L
Multiply each side by 2
10*2 =1/2L * 2
20 = L
which point most closely approximates the difference of B and A, that is (B -A) ?
Answers
Point (C) C closely approximates the given mathematical operation that is the difference between B and A (B - A).
What are mathematical operations?An operation, also known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the operations that are most frequently studied. A constant is an operation of arity zero, also known as a nullary operation. An example of an operation of arity 3, also known as a ternary operation, is the mixed product.So, when we add up 2 numbers let's say A and B, the result is always a 3rd number which is C.
A + B = CSimilarly, when we subtract a number from another number (B - A), the result is always a third number C.
B - A = CSo, (C) C closely approximates the difference between B and A (B - A).
Therefore, point (C) C closely approximates the given mathematical operation that is the difference between B and A (B - A).
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NEED THIS DONE ASAP!!
Answers
The ratios of y/x are the same for the graph of y = 3x
and the ratios of y/x are NOT the same for the graph of y = 3x + 4
In this question, we have been given the graphs of lines y = 3x and y = 3x + 4.
Consider the ratios of y/x for the graph y = 3x
6/2 = 3
3/1 = 3
(-6)/(-2) = 3
Consider the ratios of y/x for the graph y = 3x + 4.
7/1 = 7
(1)/(-1) = -1
(-2)/(-2) = 1
We can observe that the ratios of y/x are the same for the graph of y = 3x
and the ratios of y/x are different for the graph of y = 3x + 4.
Therefore, the ratios of y/x are the same for the graph of y = 3x
and the ratios of y/x are NOT the same for the graph of y = 3x + 4
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Which of the following quantities are directly proportional? (Answer if they are directly proportional or not) PLS HELP ASAP
A) distance and time traveled if speed is a constant 77 mph
B) speed and time if the distance traveled is 110 miles
C) the price per item and the number of items bought if the amount of money spent is constant
Answers
The only quantities that will be directly proportional are; A) distance and time traveled if speed is a constant 77 mph
Which Quantities are Directly Proportional?
Direct proportionality means the change of a similar kind.
For example, as pressure increases, density also increases, which means both the parameters (pressure and density) are experiencing a similar kind of change i.e. increment in their magnitude.
Looking at the given options;
A) Distance and time traveled if speed is a constant 77 mph.
Now, formula for speed is;
Speed = Distance/Time
Thus, if speed is constant, then it means that distance varies directly with the time because as distance increases, then time also increases.
B) We are told that the distance traveled is 110 miles.
Distance = Speed * time.
Thus, speed and time vary indirectly with the time because as one increases, the other decreases
C) Since the amount of money spent is constant, then it means that;
Amount spent = Price per item * number of items
The price per item and the number of items bought will vary indirectly
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Write the slope intercept form for the points through (-4,-5) and (0,2)
Answers
Answer:
y = (7/4)x + 2
Step-by-step explanation:
(-4, -5) and (0, 2)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 2 - (-5) 2 + 5 7
m = ------------- = ------------- = ------------- = --------
x₂ - x₁ 0 - (-4) 0 + 4 4
(it doesn't matter which points you put)
y - y₁ = m(x - x₁)
y - 2 = (7/4)(x - 0)
y - 2 = (7/4)x - 0
+2 +2
----------------------------
y = (7/4)x + 2
I hope this helps!
SOMEONE HELP PLS I WILL MAKE BRAINLEIST I PROMISE ONE U AWNSER SAY PLS MARK BRANILIEST HERE MAKE IT SIMPLE OR NO BRANILEST
Answers
The addition of 45 + 90 using the greatest common factor is 45(1 + 2) = 135
How to illustrate the information?From the information, it should be noted that Claude uses the greatest common factor and the distributive property to write the sum of 45 + 90.
It should be noted that the greatest common factor between 45 and 90 is 45.
This will be illustrated as:
45 + 90 = 45(1 + 2)
= 45 + 90
= 135
Therefore, the addition is 135.
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Please help! 8th grade pre-algebra math question
Answers
Answer:
a) 16
Step-by-step explanation:
[tex]x^{2} =(-4)^{2} =(-4)(-4)=16[/tex]
Hope this helps
Solve for x.
4(3x - 5) = 6x-2
Answers
Answer:
x = 3
Pls, choose me as brainliest!
9583cm=9hm+5dam+8m+3cm
Answers
Answer:
a=(9580c-8-9h)/5d
Step-by-step explanation:
9hm+5dam+8m+3cm=9583cm
Subtract (9hm+8m+3cm) from both sides
5dam=9580mc-8m-9mh simplify
then divide both sides by 5dm
a=(9580c-8-9h)/5d
THIS QUESTION IS VERY UNCLEAR SO I JUST SOLVED FOR A
-3(3+ p) <-66=
A) p >1
B) p> -19
C) p< 19
D) p >19
Answers
Answer:
D
Step-by-step explanation:
[tex]-3(3+p)<-66 \\ \\ 3+p>22 \\ \\ p>19[/tex]
URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
Answers
Answer:
A: Reflection over the y-axis
B: Translation 3 right
C: Translation 4 down
D: Reflection over the x-axis
Step-by-step explanation:
A: This is a reflection over the y axis because we can tell it has been flipped to the other side, vertically.
B: Count the spaces between the two 'P's, getting 3 to the right. This is not a reflection because it is facing the same way.
C: Count the spaces between the two 'P's, getting 4 down. Again, this is not a reflection because it is facing the same way.
D. This is a reflection over the x axis because we can tell it has been flipped to the other side, horizontally.
Hope it helps!
Let t(x) = gof (x). where g (12) = 6. g(6) =-8, and f(x) = 4x - 6.
What is the value of t(3)?
Answers
The composition of functions evaluated in x = 3 is equal to -8.
t(3) = -8.
How to evaluate the composition of functions?Here we have the two functions g(x) and f(x), and the composition:
(g°f)(x) = t(x).
This is equal to:
t(x) = g(f(x))
Then:
t(3) = g( f(3) )
Evaluating f(x) in 3 we get:
f(3) = 4*3- 6 = 12 - 6 = 6
Then:
t(3) = g( f(3)) =g(6)
And we know that g(6) = -8, then:
t(3) = -8.
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The difference of three times a number and eight is two more than the number.
Answers
Answer:
The number is 5.
Step-by-step explanation:
Let x be the number.
[tex]3x - 8 = x + 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 5[/tex]
Are these right? Geometry by the way
Answers
Answer:
ABM is 60; DBC is 60; CBM is 120; HGF is 120; EFM is 120
Step-by-step explanation:
Find the equation of a line parallel to 2x-2y=-4 that passes through the
point (3,9).
Answers
The line which is parallel to 2x-2y=-4 that passes through the
point (3,9) is x-y = -6.
Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.
Let's proceed to find the equation of the line.
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Using the slope-intercept formula, the equation of the line is:
y = mx + b
where,
m = the slope of the line
b = y-intercept of the line
(x, y) represent every point on the line
x and y have to be kept as the variables while applying the above formula.
2x-2y = -4
-2y = -4-2x
y = -4/-2 - 2x/-2
y = 2+x
y = x+2
On comparing with y = mx+b
m = 1 and b = 2
As the lines are parallel then the slope of other line will also be same i.e., m = 1
The point from which it is passes is (3,9)
⇒ x₁ = 3 and y₁ = 9
y-y₁ = m(x-x₁)
⇒ y-9 = 1(x-3)
⇒ y-9 = x-3
⇒ y = x-3+9
⇒ y = x+6
⇒ x-y = -6
Therefore, the line which is parallel to 2x-2y=-4 that passes through the
point (3,9) is x-y = -6.
Hence, x-y = -6 is the required answer.
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I need help on this one:)
Answers
iven: ²
equired:
xplanation:
Since the graph is translated vertically downwards by 3 units, so the function f(x) is
[tex]\begin{gathered} f(x)=h(x)-3 \\ f(x)=3x^2-6-3 \end{gathered}[/tex]Hence, the function is
[tex]f(x)=3x^2-9[/tex]inal Answer
[tex]f(x)=3x^2-9[/tex]
Which of the following is the same as the equation x + 5y = 4x - 3y ?
a) 3x = 2y b) 3x=8y c) 5x = 2y (d) 6x=y
Answers
Answer:
b
Step-by-step explanation:
x + 5y = 4x - 3y ( subtract 4x from both sides )
- 3x + 5y = - 3y ( subtract 5y from both sides )
- 3x = - 8y ( multiply both sides by - 1 )
3x = 8y → b
Which equation represents the graphed function?
a. y=-3x + 3
b. y = 3x3
c. y = 3x -
d.y=-x+3
Answers
PLEASE HELP MEEEEEEEEEE
18 Answer:
Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Sum of 8 and a number
19 Answer:
Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Ten less than a number
20 Answer:
Write the verbal sentence as an equation or an inequality:
The sum of three and x is ten.
21 Answer:
Write the verbal sentence as an equation or an inequality:
Four is greater than six times a number t.
22 Answer:
Write an equation or inequality to model the situation:
The distance d to school is 1 1/2 miles more than the distance p to
the park.
23 Answer:
Write an equation or inequality to model the situation:
The perimeter of a square with a side length s is greater than or equal
to seventy plus five.
Answers
Answer:
Yquandary dinglegrt
Step-by-step explanation:
go and minijrir
18) x+8 or 8+x
19) x-10
20) x+3=10
22)4>6t or 6t<4
23)4s[tex]\geq[/tex]70+5
w(x)=0.6x + 2 graph the linear function please I need to answer it soon
Answers
The graph of the linear function w(x) = 0.6x+2 has been plotted
The given linear function is
w(x) = 0.6x+2
The domain is the set of all possible inputs of the functions.
The range is the set of all possible outputs of the functions
Here we will substitute some values of x that is the domain of the function and the result will be the range of the function
w(-3) = 0.6×-3+2
= 0.2
w(-2) = 0.6×-2+2
= 0.8
w(-1) = 0.6×-1+2
= 1.4
w(0) = 0.6×0+2
= 2
w(1) = 0.6×1+2
= 2.6
w(2) = 0.6×2+2
= 3.2
w(3) = 0.6×3+2
= 3.8
Plot the graph using the domain and range
Hence, the graph of the linear function w(x) = 0.6x+2 has been plotted
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a national caterer determined that 87% of the people who sampled their food said it was delicious. A random sample of 144 people is obtained from a population of 5,000. The 144 people are asked to sample the caterer's food. Will the distribution of p hat, the sample proportion saying that the food is delicious, be approximately normal?
Answers
The sample proportion saying that the food is delicious will be approximately normal.
In this question, we have been given that 87% of the people who sampled their food said that it was delicious
so, the Population proportion = 87%
A random sample of 144 people is obtained from a population of 5,000. The 144 people are asked to sample the caterer's food.
The sample size of 144 from 5000 will have proportion p cap which will follow a normal distribution with mean= p = 87%
and variance = npq
Since the mean of the sampling distribution of p hat, mean is 0.87 the sample proportion saying that the food is delicious will be approximately normal.
Therefore, the sample proportion saying that the food is delicious will be approximately normal.
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Please help I’ll mark you as brainliest if correct!!
Answers
Set A ={q, g, c, z, b}
What is a Venn diagram?
A Venn diagram is a popular diagram type for displaying the logical relationship between sets. Venn diagrams display all potential relationships between the sets by having all of the curves overlap in every way.Simple closed curves depicted on a plane are used in Venn diagrams to illustrate sets. These curves resemble circles or ellipses quite frequently.What is a roaster form?
Roster notation is a straightforward way to represent a set in mathematical form. Within the curly brackets of the roster form, the components of a set are listed in a row. If the set has more than one element, a comma is used to denote the separation of every pair of elements in a roster notation. Because the enumeration is done one by one, the roster form is also known as an enumeration notation.For example : A ={q, g, c, z, b}To learn more about Venn diagrams, refer:
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write 1062 correct to the nearest thousand
Answers
Answer:
1062 would be 1000 because if you are rounding anything less than 5 is 0 and everything behind it is 0
hi i have a question
Answers
Given the sample table below:
Total number of teenagers that get less than 8 hours of sleep each school night
Sample #1:
The number of teenagers that get less than 8 hours of sleep each night include the sum of teenagers that get less than 4 hours, teenagers that get between 4 and 6 hours, teenagers that get between 6 and 8 hours.
Thus, we have
[tex]2+9+39=50\text{ t}eenagers[/tex]Sample #2:
Thus, we have
[tex]1+12+34=47\text{ te}enagers[/tex]Percentage of teenagers that get between 4 and 10 hours of sleep each school night
ample #1:
The total number of teenagers that get between 4 and 10 hours of sleep is evaluated to be
[tex]9+39+44=92\text{ te}enagers[/tex]Thus, the percentage becomes
[tex]\frac{92}{100}\times100\text{ = 90\%}[/tex]Sample #2:
[tex]12+34+48=94\text{ te}enagers[/tex][tex]\frac{94}{100}\times100=94\text{ \%}[/tex]Hence, based on the result of the survey,
About half of the teenagers get less than 8 hours of sleep each school night,
More than 90% of teenagers get between 4 and 10 hours of sleep each school night.
Roger Laut, who lives in Territory 5, carries 10/20/5 compulsory liability insurance along with optional collision that has a $1,000 deductible. Roger was at fault in an accident that caused $4,800 damage to the other car and $8,800 damage to his own car. Also, the courts awarded $19,000 and $9,000, respectively, to the two passengers in the other car for personal injuries. How much does the insurance company pay, and what is Roger’s share of the responsibility?
Answers
The insurance company will pay $10000 while Roger's share will be $4800 and therefore he must pay $4,800 in the insurance claim.
How to illustrate the information?From the information, Roger Laut, who lives in Territory 5, carries 10/20/5 compulsory liability insurance along with optional collision that has a $1,000 deductible.
An insurance claim is a formal request for payment for losses protected by your insurance policy. A contract between you and your insurer is known as an insurance policy. You must pay a predetermined premium. With a $5,000 maximum limit on property damage, the insurance provider will pay losses up to $10,000 for one injured or killed person and up to $20,000 for several persons. This slab is for any accident.
Roger's share will be $4800 because the cost of repairing the other car is only expected to be around $4800. He's got $4,800 to pay.
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The Adidas Flagship Building located in Herzogenaurach is shaped like a rhombus One of the diagonals measures 255.4 meters and the other diagonal measures 203.7 meters. Find the area of the top of the building.
Answers
Answer:
26012.49 m²Step-by-step explanation:
Area of the rhombus in terms of given diagonals:
A = ab/2, where A- area, a and b - diagonals.Plug in the values and calculate:
A = 255.4*203.7/2 = 26012.494va olleckpoiniDiscrete Mathematics OL v1 A - Koscianski, Megan / Chapter 2: Set TheoryRD 2. Use the accompanying Venn diagram that shows the number of elements in regions I through IV to answer the question.10MHow many elements belong to neither set A nor set B?BU Font FamilyAAIFEEOOOE•"'NE
Answers
The elements that are neither in set A nor set B are: {10}
Answer: 10
11.7 divided by 26.2
Answers
Answer:
Step-by-step explanation:
the answer is 0.4465 or if needed to be rounded then 0.45
Hayden recorded his speed while walking and determined he walked 120 feet in 30 seconds . At this rate how many feet will Hayden walk in 45 seconds
Answers
Answer:
180
Step-by-step explanation:
120ft/30sec=4sec per ft
45-30=15
4(15)=60
120+60=180