Type the expression that results from the following series of steps:
Start with n and divide by 2.
Sharon runs a screen-printing business. To print T-shirts each day, it costs her $200 in labor plus $5 per T-shirt for materials. Her income is $15 for each T-shirt she sells. How many T-shirts does Sharon need to sell each day in order for her costs to equal her income for that day?
(i mainly need the equation for this problem)
Answer:
Equation: 15n = 200 + 5n
Number of T-shirts: 20
Step-by-step explanation:
We need to find an expression for the costs for 1 day for making n number of T-shirts and an expression for the income for 1 day for selling n number of T-shirts. Then we set the expressions equal and solve for n, the number of T-shirts.
Expenses in 1 day:
The expenses are a fixed cost of $200 plus the cost per T-shirt.
$200 plus $5 per T-shirt
We need an expression for the cost per T-shirt in terms of n, the number of T-shirts.
If she makes 1 T-shirt, she spends $5 * 1.
If she makes 2 T-shirts, she spends $5 * 2.
If she makes n T-shirts, she spends $5 * n, or simply 5n.
Her total costs for a day are:
200 + 5n
Income in 1 day:
All the income comes from selling T-shirts.
She sells 1 T-shirt for $15 * 1.
She sells 2 T-shirts for $15 * 2.
She sells n T-shirts for $15 * n, or simply 15n
Her total income for 1 day is:
15n
Now we set the costs equal to the income and solve for n.
15n = 200 + 5n <--------- here is the equation you need
Subtract 5n from both sides.
10n = 200
Divide both sides by 10.
n = 20
Answer: She needs to sell 20 T-shirts.
Help meeee anyyyonee
Answer: 8,16
Step-by-step explanation:
help please, I need help
Answer:
1. <
2. <
3. >
Step-by-step explanation:
-8 is smaller than 8
the absolute value of -4 is 4, but there is another minus, so it becomes -4. -4 is smaller than -2
-7 is bigger than -9
Answer:
Step-by-step explanation:
-8 < |8|
-|-4| < -2
-7 > -9
absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.
now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.
Help!!! Just those two, please
A. Multiply the area of the original store by the percent increase then add that to the original amount.
1200 x 0.75 = 900
1200 + 900 = 2100
Answer: 2,100 square feet.
B. 2000 x 0.30 = 600
2000 + 600 = $2,600
2600 x 0.05 = 130
2600 + 130 = 2,730
Rent :$2,730
Carlos tosses a coin 3 times. What is the probability of a coin landing heads up all three times?
Answer:
1/8, or 12.5%.
Step-by-step explanation:
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Identify which line from the graph the following right triangles could lie on
Answer:
There is no graph.
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $8. On Saturday, Rob earned $28 babysitting. How much money did he save?
Answer:
$16
Step-by-step explanation:
If he saves $8 for every $14, he earned $28, which is twice the $14, he will save twice the $8 or $16.
What is the 97th term of the arithmetic sequence -16,2,20
Answer:
1712
Step-by-step explanation:
Given arithmetic sequence is: -16,2,20
Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18
n = 97, [tex] a_{97}=?[/tex]
[tex]\because a_n = a + (n-1)d\\\\
\therefore a_{97}= - 16 + (97-1)\times 18\\\\
\therefore a_{97}= - 16 + 96\times 18\\\\
\therefore a_{97}= - 16 + 1728\\\\
\therefore a_{97}=1,712\\\\[/tex]
Answer:
1712
Step-by-step explanation:
Formula of the sequence:
[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]
So 1712 is the 97th term
help me pls!! thank you!!
Answer:
J) y=4/3x+2
Step-by-step explanation:
The initial value is 2 so the y-intercept should be at (0, 2)
The slope is 2/1.5=1.3333
4/3=1.3333 so 2/1.5=4/3
y=mX+b
m= slope
b= Initial Value
6/15 of a ton of wood is to be split between 8 decks evenly. How much wood will be used for each deck?
Answer:
1/16 tons of wood per deck
Step-by-step explanation:
6/15 ÷ 8
6/15 × 1/8 (Keep Change Flip)
6/96 = 1/16
Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
Answer:
75.23=10.27x
Step-by-step explanation:
Around 7 months
What equation represents the proportional relationship displayed in the table ?
Answer:
y=5x
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
When you divide each y-value by its corresponding x-value, you get 5.
For example, 10/2 = 5; 20/4 = 5
y is always 5 times x.
y = 5x
Answer: 5
-2(x+4)²= -200
can you guys please help
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.
1. 246.00
2. 245.00
3. 246.08
Answer:
246.00
Step-by-step explanation:
58.75+23.25=82 then 82*3
Answer:
246.000
Step-by-step explanation:
Well If you take it and Line it up like this,
(A)Amy; 58.75
(J)Jeremy; A+23.25
(O)Oscar; A+23.25= ?x3
This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.
Hope this helps.
Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?
Answer: the final price is $37.26
Step-by-step explanation:
Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:
A + A*(X%/100%)
And for a decrease, the equation is_
A - A*(X%/100%)
Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be
$49.75 - (30%/100%)*$49.75 = $34.83
Now we have an increase of the 7% because of the IVA, then the final price is:
$34.83 + (7%/100%)*$34.83 = $37.26
A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
Fill in the blank with the correct response.
if 9/24=3/x then x is
Answer:
x=8
Step-by-step explanation:
9/24=3/x
x=(24*3)/9
x=72/9
x=8.
Hope this helps :D Hit that crown!!!!
Answer:
x = 8
Step-by-step explanation:
Step 1: Cross-multiply
9 * x = (3) * (24)
9x = 72
Step 2: Divide both sides by 9.
9x/9 = 72/9
x = 8
Brainliest?
Write the word or phrase that best completes each statement or answers the question.
Evaluate: 12/y+9d if y = 5 and d = 7
here's the answer.....I hope it would work
Answer:
3/17
Step-by-step explanation:
Substitute the given values for the variables.
[tex]\frac{12}{5+9(7)}[/tex]
Simplify
[tex]\frac{12}{5+63}[/tex]
[tex]\frac{12}{68}[/tex]
[tex]\frac{3}{17}[/tex]
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold 640 worth of jewelry. How much did Heidi make in commission? How much did the jewelry store make from sales?
Answer:
12,800 Dollars USD
Step-by-step explanation:
If V2=200mL, C1=80%, C2=50%, what is V1?
Answer:
125 mL
Step-by-step explanation:
We are given:
V₁ = x mL
C₁ = 80%
V₂ = 200 mL
C₂ = 50%
Solving for x:
We know that:
V₁C₁ = V₂C₂ [Concentration formula]
replacing the values:
x(80) = (200)(50)
x = 125 mL [Dividing both sides by 80]
A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.
The average length of time that the 25 customers waited before leavingthe bank
The list of times for the 25 customers who left the bank
All of the bank's customers
The 25 customers that the manager observed leave
The length of time a customer waits before leaving the bank
The average length of time that all customers will wait before leaving the bank
a. Parameter
b. Variable
c. Sample
d. Population
e. Statistic
f. Data
Answer: The average length of time that the 25 customers waited before leaving the bank. e. Statistic
The list of times for the 25 customers who left the bank. f.Data
All of the bank's customers d. Population
The 25 customers that the manager observed leave. c. Sample
The length of time a customer waits before leaving the bank. a. Variable.
The average length of time that all customers will wait before leaving the bank a. Parameter
Step-by-step explanation:
A data is a list of observations.
In statistics, a variable is an attribute that defines a person, place, thing, or thought.
A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.
The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.
The correct description of the given examples are:
The average length of time that the 25 customers waited before leaving the bank.
e. Statistic
The list of times for the 25 customers who left the bank.
f. Data
All of the bank's customers
d. Population
The 25 customers that the manager observed leave.
c. Sample
The length of time a customer waits before leaving the bank.
a. Variable.
The average length of time that all customers will wait before leaving the bank
a. ParameterWe can see that a bank manager is interested in finding out the average wait time which each customer has to wait and we can see that this is known as a parameter.
Read more about variables here:
https://brainly.com/question/3766847
Dwight's club has 35 members. Its
rules require that 60% of them must
be present for any vote. At leas how
many members must be present to have
a vote?
Answer:
21 memebers must be present
Step-by-step explanation:
First we have to convert the percent to decimal form for an easier calculation. Do this by taking 60 and dividing by 100.
You should get 0.60, now just multiply .60 by 35 and you'll get the answer of 21.
There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
Given that, there are 32 desks in a room.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Now, x represents the number of rows of desks.
The number of desks in each row = Total number of desks in a room / The number of rows of desks
= 32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
To learn more about an expression visit:
https://brainly.com/question/13947055.
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Amy makes an initial investment of 5000$. The investment losses 13.5% each year. Find the amount Amy has at the end of 8 years
Answer:
156.71$
Step-by-step explanation:
[tex]A=P(1-r \%)^ t\\=500(1-13.5 \%)^8\\=500(0.865)^8\\\approx 156.71[/tex]
Write three numbers greater than 20 that have 9 as a factor
Answer:
Here are three multiples of nine that exceed 20:
Step-by-step explanation:
9(3) = 27
9(4) = 36
9(5) = 45.
Simplify -x+5+7x-2+2x+3
Answer:
on simplifying the answer would be 8x +8
Answer:
8x + 6
Step-by-step explanation:
add all x values together and all normal values together
-x+7x+2x=8x
5-2+3=6
What’s the answer to this radical functions equation ASAP
9514 1404 393
Answer:
y = ∛(x -4) -1
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...
y = ∛(x -4) -1
Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x.
Explain how to solve the inequality, showing all the necessary steps and
identifying the properties you would use.
Answer:
X < -3
Step-by-step explanation:
First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.
4x - 28 > 14x + 2
you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal
-28 > 10x + 2
you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2
-30 > 10x
divide both sides by 10 to get x by itself
-3 > x
which is the same as x < -3