What is the sum? (4x - 3) + (-2x + 5)
Answer:
2x+2
Explanation:
1/10 (x + 11) = -2 (8 - x)
Answer: (5/8)x
Step-by-step explanation:
17. Brendan works as a car salesman. He earns a salary of $1,000 per month, plus a commission of 3% on all sales. If he sold $250,000 worth of cars in May, what would his total earning be for the
month?
Answer:
His total earning for the month would be $8,500.
Step-by-step explanation:
In order to calculate the total earnings for the month, you have to find the 3% of the amount of the sales and add the monthly salary:
Monthly earnings=($250,000*3%)+$1,000
Monthly earnings=$7,500+$1,000
Monthly earnings=$8,500
According to this, the answer is that his total earning for the month would be $8,500.
Answer:
The Answer Is $8,500
Step-by-step explanation:
I just took the test
James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
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i need help and fast! please!!
6(y+7)=2(y-3)
this is a multi step equations, please help
Answer:
= - 1/2
Step-by-step explanation:
6y+6.7=2.(y-3)
6y+42=2.(y-3)
6y+42=2y+2.-3
6y+42=2y-6
4y=-48
4y/4 = -48/4
y=-48/4
y=-12.4/1.4
y= -12
Answer:
y = -12
Step-by-step explanation:
Generally, the first step is to eliminate parentheses.
6y +42 = 2y -6
Now, you have a 3-step equation. I generally start by subtracting the variable term with the lowest coefficient. That leaves a variable term with a positive coefficient.
4y +42 = -6 . . . . . . subtract 2y from both sides (step 1)
Now, you want to eliminate the constant from the side of the equation that has the variable term. Add its opposite.
4y = -48 . . . . . . . . . add -42 to both sides (step 2)
Finally, you divide by the coefficient of the variable.
y = -12 . . . . . . . . . . divide both sides by 4 (step 3)
The solution is y = -12.
_____
Additional comment
As you can see, the general approach is to obtain the variable on one side of the equation and a constant on the other side. You do this by performing the same math operation to both sides of the equation.
Here, we notice that the values outside parentheses are multiples of each other, so we can start by dividing by 2
3(y +7) = y -3 . . . . . . divide both sides by 2
3y +21 = y -3 . . . . . . . eliminate parentheses
Now, we can do steps 1 and 2 at the same time, by adding -21-y to both sides. This gets rid of unwanted variables and constants in one step. (Your teacher may want you to show separate steps.)
(3y +21) +(-21 -y) = (y -3) +(-21 -y)
2y = -24 . . . . . . . . . simplify
y = -12 . . . . . . . . . . . divide by the coefficient of the variable (step 3)
Pleaseeeeeee helppppppp I am being timed
Answer:
Line A
Step-by-step explanation:
It has a lower slope of 3/4
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
need help right now plz!!
Answer:
\(2<p<6\)
Step-by-step explanation:
If it is less than \(6\), it must have \(p<6\).
If it is greater than \(2\), it must have \(2<p\).
We can combine these inequalities to get \(\boxed{2<p<6}\).
The graph is left as an exercise to the reader.
Solve the radical equation.
PLEASE HELPPPP
1. Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $400 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
(a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart?
(b) If a gallon of paint costs $7.96, what is the cost of the 3 gallons of paint in the cart?
(c) If a lamp shade costs $14.99, what is the cost of the 3 lamp shades in the cart?
(d) Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $400.
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
Set a contains 21 elements a B contain 16 element and five element our common percent ANB how many elements are the ANB
We will have the following:
For the information provided we will have that A unit B has the following number of elements:
\(n_EA\cup B=21+16-5\Rightarrow n_EA\cup B=32\)So, the number of element in A union B is 32 elements.
A technical machinist is asked to build a cubical steel tank that will hold 410 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .001 .
Answer:
0.743 m
Step-by-step explanation:
Given that :
Volume of cubical tank = 410 L
Volume of a cube = L³
First we convert 410 L into meter cube
1 L = 10^-3 m³
1L = 0.001 m³
410 L = (410 * 0.001) m³
410 L = 0.410 m³
0.410 = l^3
Cube root of both sides
(0.410)^1/3 = l
0.7428958 = l
l = 0.7428958 m
Hence, smallest possible inside length of the cube would be : 0.743m
The distance from our house to the grocery store is five and one quarter kilometres.The distance from our house to the mall is ten and three quarter kilometres .How much further is the mall than grocery store from our house?
After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.
How to find the distance between two points?If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\) and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).
Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.
So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.
Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.
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Please help!!
a. What is the x intercept of the line graphed above?
b. What is the Y intercept of the line?
c. What is the slope of the line?
1. Planet fitness is offering membership $10 per month. They are
also offering a one time fee of $99.99 per year. How much money
will Liz save by purchasing the one year membership if she plans
on going to the gym for a year?
2x+8 for
for
for
f(x) = -6
x + 5
-
− 5 ≤ x < −1
x = -1
−1 < x≤ 2
Find f(−1)
Answer:
\(f(-1) = -6\)
Step-by-step explanation:
The given function is a piecewise function. Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
Given piecewise function:
\(f(x)=\begin{cases}2x+8\;\;\;\text{for}\;\;\;-5 \leq x < -1\\-6\;\;\;\;\;\;\:\:\:\text{for}\;\;\;\:x=-1\\x+5\;\;\;\;\:\text{for}\;\;\;-1 < x\leq2\end{cases}\)
To find f(-1), find the value of the function f(x) when x = -1.
From the given pieces function, we can see f(x) = -6 when x = -1.
Therefore:
\(f(-1) = -6\)
\(57=\frac{5}{8}z+7\)
\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)
Colleen invests $750 into a bank account. The account pays 2% simple interest. How much interest will she earn after 10 months?
Colleen will earn $12.50 in interest after 10 months.
To calculate the interest earned by Colleen after 10 months, we can use the formula for simple interest:
I = P * r * t
where I is the interest earned, P is the principal amount invested, r is the interest rate as a decimal, and t is the time period in years.
In this case, Colleen invested $750, the interest rate is 2% or 0.02 as a decimal, and the time period is 10/12 years (since 10 months is equivalent to 10/12 of a year).
Plugging these values into the formula, we get:
I = $750 * 0.02 * (10/12)
I = $750 * 0.016666...
I = $12.50
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7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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Multiply 3/5 by 10/21 Express your answer in simplest form
Answer:
2/7
Step-by-step explanation:
Answer:
3/5 * 10/21= 2/7
Tutoring Question Help
A person is taking a 5-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by
rolling a fair die and marking the first answer choice if the die shows 1 or 2 the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the
person gets fewer than 3 correct answers.
The probability that the person gets fewer than 3 correct answers is
(Round to three decimal places as needed.)
what answer? here, can you answer that? thankyou
It should be noted that the number of sample size based on the information will be 300.
How to explain the sampleIn order to calculate the sample size, we can use the following formula:
n = z² * p * (1-p) / E²
n = 1.96² * 0.5 * (1-0.5) / 0.05²
= 300
A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.
In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".
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Estimate the difference:6 2/3 - 1 3/4 . Show your work.
Answer:
2/3 *6= 12/3=4
4-3/4=13/4
Step-by-step explanation:
Six times two thirds is equal to 4. One times three quarters is 3/4. Four minus three quarters give you thirteen quarters
Evaluate 3x-4 when x=7
Answer:
17
Step-by-step explanation:
We plag the var in first
3(7)-4
21-4
17
Answer:
17
Step-by-step explanation:
3(7) - 4
21 - 4
17
Hope this helps!
Can some one help with this problem
Step-by-step explanation:
Area of the trapezoid = height x average of bases
area = 4 x (8+13)/2) = 42 in^2
Area of triangle = 1/2 base * height = 1/2 (13-8) * 4 = 10 in^2
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
20% OF WHAT number IS 95?
WHAT Percent OF 55 IS 22?
WHAT percent OF 75 IS 15?
24 IS 60% OF WHAT number? ?
Answer:
1. is 19
2. is 36.36
3. is 20
4. is 14.4
Ivan has a piece of material that is 4 feet long. He cuts it into 7 equal pieces. Which equation shows how to find the length, in feet, of each piece of material?
You have not provided the options, but this solution is an equation that will work:
Answer:
4 / 7 = x
Step-by-step explanation:
Since the total material is 4 feet long, we can divide 4 feet by 7, the number of equal pieces cut, to see how long each piece is.
This gives us an answer of 4/7 or about 0.571
Which scenario is modeled in the diagram below? Percents Total 80% 20% 100% 20% 20% 20% 20% $6.87 Dimitri used a coupon that saved him 80 percent, or $6.87. He paid $34.35 for the items. Dimitri used a coupon that saved him 80 percent, or $27.48. He paid $34.35 for the items. Dimitri used a coupon that saved him 80 percent, or $6.87. The price of the items before the discount was $34.35. Dimitri used a coupon that saved him 80 percent, or $27.48. The price of the items before the discount was $34.35.
Answer: Answer is D
Step-by-step explanation: Took the quiz in EDJENUITY
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