Answer:add 5 to both sides
Step-by-step explanation:
What is the reason for each step in the solution of the equation?
18−2x=4x
Drag and drop the reasons into the boxes to correctly complete the table.
Answer:
Given
Addition property of equality
Division property of equality
Step-by-step explanation:
The first line is given.
Next 2x was added to each side. The addition property of equality says that for an equation to stay in balance, it you add something to one side of the equation, you have to add that same thing to the other side of the equation.
The same is true for the division property.
A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is
C = 1,780 + 7x,
and the total revenue R (in dollars) is
R = 14x.
Find the profit (in dollars) obtained by selling 275 T-shirts per day.
Answer:
The profit from selling 275 shirts is 3,995
Step-by-step explanation:
P= R-C
P=14x- (1,780+7x)
since we are producing 275 shirts substitute that for x
P=14(275)-1,780+7(275)
P=3850-1780+1925
P=2070+1925
P=3995
At 12 noon it was discovered that a driver has travelled 3/8 of the distance from Kano to lagos ,while another driver had travelled 3/10 of that distance from lagos,travelling at the same rate .if the two drivers are 390km apart .find the distance from Kano to lagos
The distance from Kano to Lagos is 1200 km
How to determine the distance from Kano to LagosThe problem involves addition of fractions
The fraction required are:
let the distance form kano to Lagos be x
it was discovered that a driver has travelled 3/8 = 3x/8
another driver had travelled 3/10 of that distance = 3x/10
The drivers are still 390 km apart
total distance, x
x = 390 + 3x/8 + 3x/10
x - 3x/8 - 3x/10 = 390
0.325x = 390
x = 390 / 0.325
x = 1200 km
From the driving distance information 1200 km is the distance from Kano to Lagos
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I need answer please
Answer:
The rate of change is -2
Step-by-step explanation:
formula we will use: G(x)= [tex]\frac{f(b)-f(a)}{b-a}[/tex] [-1,2]
g(x)= [tex]x^3[/tex]-5x
g(-1)=[tex]-1^3[/tex]-5(-1)
g(-1)=-1+5
g(-1)=4
g(2)=[tex]2^3[/tex]-5(2)
g(2)=8-10
g(2)=-2
so g(x)= [tex]\frac{(-2)-(4)}{(2)-(-1)}[/tex]
g(x)= [tex]\frac{-6}{3}[/tex]
g(x)=-2
determine the degree, leading coefficient and constant term or each polynomial
1. x+5
degree:______
leading coefficient:_____
constant term:____
For the given polynomial the degree is 1, the leading coefficient is 1, and the constant term is 5.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The given polynomial is x+5.
(1) The degree is the highest power of the polynomial.
Degree = 1
(2) The leading coefficient is 1.
(3) The constant term is 5
Therefore, the given polynomial degree is 1, the leading coefficient is 1, and the constant term is 5.
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Find the x- and y-intercepts of the graph of 3x−8y=39. State each answer as an integer or an improper fraction in simplest form.
The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.
Given that,
The equation is 3x-8y=39.
We have to find the x- intercept and y- intercept of the equation.
We know that,
x/a + y/b = 1 is the intercept form of the line's equation. One of the key types of line equations is this one. In this equation, the sign of the intercepts also enables us to determine where the line is in relation to the coordinate axes.
To find the x- intercept of the equation.
We have to take y as 0.
3x-8(0)=39
3x=39
x=39/3
x=13
To find the y- intercept of the equation.
We have to take x as 0.
3(0)-8y=39
-8y=39
x=-39/8
Therefore, The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.
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please answer 25 points
The number of miles (m) between the two cities as represented in the equation given 2[(4m * 3.5) / 400] = 171.5 is 2450 miles
EquationsThe definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.
In the equation given;
2[(4m * 3.5) / 400] = 171.5
Using changing the subject of formula to find the miles travelled;
2[(4m * 3.5) / 400] = 171.5
28m / 400 = 171.5
28m = 400 * 171.5
28m = 68600
m = 68600 / 28
m = 2450
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HELP ASAP PLEASEEEEEEEEEE
A possible perimeter for the rectangular table that was built by Irene is 50 inches.
My thinking was gotten by getting the dimensions and then using the perimeter formula to solve it.
How to calculate the perimeter?From the information given, it should be noted that the area of the rectangle is given as 114 square inches. A dimension that can give this is 19 inches and 6 inches
The perimeter of a rectangle is calculated as:
= 2(Length + Width)
= 2(19 inches + 6 inches)
= 2(25 inches)
= 2 × 25
= 50 inches
The perimeter is 50 inches.
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Brett tallies up the transactions in his check register and comes up with a total balance of $248.53, but his bank statement says that his balance is $257.72. Which of the following are still outstanding?
I. A $44.09 check to the electronics store
II. A $73.98 check to the mechanic
III. A $49.96 paycheck deposit
IV. A $64.79 check deposit from Brett’s cousin
a.
I and III
b.
II and III
c.
I and IV
d.
II and IV
Find the distance between the points (8,–2) and (8,7)
Answer:
9 units
Step-by-step explanation:
We see that on the x-axis, everything is equal.
On the y-axis, there are -2 and 7.
So we are finding the distance between -2 and 7
|-2|+|7|=9
So the distance between the points is 9 units.
Tobias bought four video games for $34.10, $25.50, $13.25, and $9.99.
How much money did Tobias spend?
Determine the interval(s) on which the function is (strictly) increasing.
Write your answer as an interval or list of intervals.
When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible.
Click on "None" if applicable.
Answer:1341
Step-by-step explanation:
1342123
3. Analyze and Persevere The height of
an experimental plant after x days can be
represented by the formula 3(4x + 2) The
height of a second plant can be represented
by the formula 6(2x + 2). Is it possible that
the two plants will ever be the same height?
Explain.
their pr
Р
$1
Two plants will never be of the same height.
Given, the height of an experimental plant after x days can be
represented by the formula 3(4x + 2).
The height of a second plant can be represented by the formula 6(2x + 2).
We have to state that will the two plants ever be of the same height,
Let assume that, the height of two plants be same,
So, 3(4x + 2) = 6(2x + 12)
On simplifying, we get
12x + 6 = 12x + 72
On subtracting 12x from both the sides, we get
12x + 6 - 12x = 12x + 72 - 12x
6 ≠ 72
It is an absurd condition, so we do not have any solution for x.
So, the two plants will never be of the same height.
Hence, two plants will never be of the same height.
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The graph of a linear function passes through the points ; negative one; negative 1 over 4. and ; one, negative 3 over 4.. Y; X. Which equation represents the function? A Y equals negative one over 2 X. minus one over four. B Y equals 1 over 2 X. plus 1 over 4. C Y equals negative 1 over 4 X. minus 1 over 2. D Y equals 1 over 4 X. plus 1 over 2.
The linear equation that passes through the two given points is:
y = (-1/4)*x - 2/4
Which is the equation of the line?A general linear equation is written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
m = (y₂ - y₁)/(x₂ - x₁)
Here we know that the line passes through (-1, -1/4) and (1, -3/4)
Then the slope is:
m = (-3/4 + 1/4)/(1 + 1)
m = (-2/4)/2 = -2/8 = -1/4
the line is:
y = (-1/4)*x + b
To find the value of v we can replace the point (1, -3/4) so we get:
-3/4 = (-1/4)*1 + b
-3/4 + 1/4 = b
-2/4 = b
The linear equation is:
y = (-1/4)*x - 2/4
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Consider the equation and the following ordered pairs: (−3,y) and (x,2).
y=−3x−1
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Complete the table below.
x y
row 1−3 Answer
row 2 Answer
2
The missing values of the ordered pairs using the given equation are:
x = -1; y = 8
The table is:
x | y
-3 8
-1, 2
How to Find the Values that Satisfies an Equation?To find the missing values of an ordered pair that satisfies a given equation, plug n the given value of one of the variables into the equation and solve to find the value of the other variable.
The equation given is y = -3x - 1
Find the missing value of the ordered pair (-3, y) by plugging in x = -3 into the equation given:
y = -3(-3) - 1
y = 8
Find the missing value of the ordered pair (x, 2) by plugging in y = 2 into the equation given:
2 = -3x - 1
2 + 1 = -3x - 1 + 1
3 = -3x
x = 3/-3
x = -1
The ordered pairs are: (-3, 8) and (-1, 2).
Therefore, we would have:
x | y
-3 8
-1, 2
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Raise the powers of all variables and numbers indicated, and then turn the following expressions in radical form into exponential expressions in rational form. You do not need to evaluate or solve any of the expressions, just put them in simplest exponential form. [All sets of similar base variables and numbers are meant to be under the same radical sign]
The radical expression [tex]\sqrt[5]{x^3}^8.x^4[/tex] simplifies to [tex]x^\frac{44}{5}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, [tex]\sqrt[5]{x^3}^8.x^4[/tex].
= [tex]x^3(^\frac{8}{5}).x^4[/tex].
= [tex]x^\frac{24}{5}.x^4[/tex].
= [tex]x^\frac{24}{5}^{+4}[/tex].
= [tex]x^\frac{24 + 20}{5}[/tex].
= [tex]x^\frac{44}{5}[/tex].
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Zoe wants to buy 6 tins of beans for the cheapest possible price. Shop A and Shop B both have a special offer. Shop A 5% off the normal price of 48p each Shop B 65p each Buy 2 get 1 free Which shop should Zoe buy the beans from? You must show how you get your answer.
In TY’s math class, 20% of students earned an A on a test. If there were 30 students in the class, how many got the A
Answer:
Step-by-step explanation
Answer:
6 students
Step-by-step explanation:
[tex]\frac{1}{5} = \frac{x}{30}[/tex]
[tex]30 = 5x[/tex]
[tex]6=x[/tex]
Water , Tonya drinks the recommended 8 cups of water per day how many gallons of water dose she drink per year ?Hint:( 1gallon = 16 cups)
Step-by-step explanation:
your teacher gave you the solution to the real problem of this question : how many cups are in 1 gallon. 16 cups.
and if you remember that a year has 365 days, then the rest is rant simple and straight forward :
8 cups per day
so
365 × 8 = 2920 cups per year.
2920 cups = 2920/16 = 182.5 gallons
therefore, she drinks 182.5 gallons of water per year.
It takes Abby 3 hours to drive from Ashdown to Bridgeton at an average speed of 60 mph.
She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph.
Assuming Abby doesn't stop, what is her average speed from Ashdown to Carton to 1 dp?
The average speed for the given situation is 56 mph.
Given that, Abby 3 hours to drive from Ashdown to Bridgeton at an average speed of 60 mph.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Now, distance = Speed × Time
= 60 × 3
= 180 miles
She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph.
Now, Time = 30/40
= 0.75 hours
Total time =3+0.75=3.75 and total distance =180+30=210
Then average speed = 210/3.75
= 56 mph
Therefore, the average speed for the given situation is 56 mph.
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3. Simplify the expression below.
√-100-2√√-16
A. -12i
B. -2i
C. 12i
D. 2i
On a map of Texas, the cities of Midland, Lubbock, and Odessa form a triangle.
Midland is
20 miles from Odessa, and Lubbock is 113 miles from Midland. What is the farthest,
in miles,
Odessa could possibly be from Lubbock?
If Midland is 20 miles from Odessa, and Lubbock is 113 miles from Midland. Then 111.22 miles is Odessa from Lubbock.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
The cities of Midland, Lubbock, and Odessa form a triangle.
The distance between Midland and Odessa is 20 miles.
The distance between Lubock and Odessa is unknown, we need to find this.
This can be find by using Pythagorean theorem
Odessa from Lubbock=20²+x²
113²=20²+x²
12769=400+x²
12369=x²
x=111.22
Hence, 111.22 miles, Odessa could possibly be from Lubbock.
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write each system of equations as a matrix
Answer:
Step-by-step explanation:
ned)
Sam went to eat at Texas Roadhouse. His bill was $45. In addition, he left a 15% tip
for the waitress. He also needed to pay 5% sales tax. How much did Sam spend at
Texas Roadhouse?
The total amount of money Sam paid for his food, tip for the waitress and sales tax at the Texas Roadhouse is $54
What is the total amount Sam spent at Texas Roadhouse?Sam's bill at the Texas Roadhouse = $45Percentage tip for the waitress = 15%Percentage sales tax = 5%Amount of tip = 15% × $45
= 0.15 × 45
= $6.75
Amount of sales tax = 5% × $45
= 0.05 × 45
= $2.25
Total amount Sam spent at the Texas Roadhouse = Sam's bill at the Texas Roadhouse + Amount of tip for the waitress + Amount of sales tax
= $45 + $6.75 + $2.25
= $54
In conclusion, the total amount of money Sam paid at the Texas Roadhouse is $54
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A rectangle has an area of 20 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A
B
1 cm and 20 cm
2 cm and 10 cm
3 cm and 8 cm
4 cm and 5 cm
Answer:
Most likely 4cm and 5cm
Step-by-step explanation:
Where 5cm=length
And 4cm=width
Ali had 457 pieces of clothes for her dolls. She had 235 dresses and 125 shirts. How many pairs of shoes and pants did she have?
Answer:
Step-by-step explanation:
457-235= 222
222-125=97
97÷2= 48.5
≈49 pairs of pants and shoes
4. Which expression represents 7 more than the quotient of 12 and 4?
A. (12+4) + 7
B.7 x (12+4)
C.7+(12-4)
D. (7+12) + 4
Answer:
C
Step-by-step explanation:
Even though quotient means divide I instead used the minus symbol since they both mean something negative or taking away. Then, the 7 goes before everything adding onto what was left from the second part.
Help with this precalc question
The principal amount invested at the rate of 6% for 3 years, then the investment results in $717.38.
What is compound interest?Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the given information in the question,
Principle, P = $600
Rate, r = 6%
Time, t = 3 years.
Compound quarterly, r = 6/4
t = 4 × 3 = 12
Use the formula,
[tex]A = P(1+\frac{r}{100} )^t[/tex]
A = 600(1 + 6/4 × 100)¹²
A = 600 × (203/200)¹²
A = $717.38
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Evaluate the expression X - 2 + 2(4) - X when x =12
Answer: 6
Step-by-step explanation: You'll need to substitute x for 12 in the expression, which will be 12 - 2 + 2(4) - 12, and using BODMAS/BIDMAS/PEDMAS (or whatever you use), you should get 6 if you did it correctly.
Answer:
18
Step-by-step explanation:
using bodmas rule by working out brackets first
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
An expression is (?) dollars.
Question 2
b. What does the coefficient of the expression in part (a) represent?
Responses
the total cost (in dollars) of adopting one dog
the total cost (in dollars) of adopting one dog
the total amount (in dollars) the veterinarian is paid when one dog is adopted
the total amount, (in dollars), the veterinarian is paid when one dog is adopted
the total cost (in dollars) of adopting x dogs
the total cost (i, n dollars), of adopting x dogs
the total amount (in dollars) the animal shelter earns when x dogs are adopted
the total amount (, in dollars) the animal shelter earns when , x, dogs are adopted
please and thank you!
Answer:$190
Step-by-step explanation:
for an expression is $80+$65+$50=190 per dog to adopt a from the animal shelter.
