Answer: [tex]A = 15 - 4x[/tex] .
Step-by-step explanation:
Total amount remaining = Initial amount in the card-( Cost per cup × (Number of cups) )
Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance.
i.e. 9 = Initial amount in card - (1.50 × 4)
⇒ 9 = Initial amount in card - (6)
⇒ Initial amount in card = 9+-6 =15
⇒ Initial amount in card = $15
Let A be the amount money remaining on the card after buying x cups of coffee.
So, A = 15 - 4x
Hence, the required equation is [tex]A = 15 - 4x[/tex] .
Answer:
A= -1.50x+15
Step-by-step explanation:
In what order should you stack the machines so that
when 6 is dropped into the first machine, and all four
machines have had their effect, the last machine's
output is 11 ?
f(x)=√x
g(x) -(x - 2)2
h(x) = 2X-7
k(x) = - - 1
Order the functions below so that you use all four
functions.
= k(
k(x) = -2 -1
h(x)=2x - 7
Answer:
[tex]g(x) = -(x - 2)^2[/tex]
[tex]k(x) = -\frac{x}{2} - 1[/tex]
[tex]h(x) = 2^x - 7[/tex]
[tex]f(x) =\sqrt{x}[/tex]
Step-by-step explanation:
Given
Input = 6
Expected Output = 11
Process:
[tex]f(x) =\sqrt{x}[/tex]
[tex]g(x) = -(x - 2)^2[/tex]
[tex]h(x) = 2^x - 7[/tex]
[tex]k(x) = -\frac{x}{2} - 1[/tex]
Required
Arrange the processes to give an output of 11
To answer this question, I'll make use of trial by error methods.
After some attempts, the following is the order of the processes;
Set x = 6
Substitute 6 for x in g(x)
[tex]g(x) = -(x - 2)^2[/tex]
[tex]g(6) = -(6 - 2)^2[/tex]
[tex]g(6) = -(4)^2[/tex]
[tex]g(6) = -16[/tex]
Substitute -16 for x in k(x)
[tex]k(-16) = -\frac{-16}{2} - 1[/tex]
[tex]k(-16) = -(-8) - 1[/tex]
[tex]k(-16) = 8 - 1[/tex]
[tex]k(-16) = 7[/tex]
Substitute 7 for x in h(x)
[tex]h(x) = 2^x - 7[/tex]
[tex]h(7) = 2^7 - 7[/tex]
[tex]h(7) = 128 - 7[/tex]
[tex]h(7) = 121[/tex]
Substitute 121 for x in f(x)
[tex]f(x) =\sqrt{x}[/tex]
[tex]f(121) = \sqrt{121}[/tex]
[tex]f(121) = 11[/tex]
Hence, the processes is:
[tex]g(x) = -(x - 2)^2[/tex]
[tex]k(x) = -\frac{x}{2} - 1[/tex]
[tex]h(x) = 2^x - 7[/tex]
[tex]f(x) =\sqrt{x}[/tex]
i need the answer now plz
Answer:
Area= 4,200 square feet
Step-by-step explanation:
If I read your question correctly, I'm assuming the dots (".") mean a multiplication sign ("x").
If they are all being multiplied, use PEMDAS to solve this. First, find to value for any exponents you have (in this case, it's [tex]2^3[/tex] and [tex]5^2[/tex]).
[tex]2^3=2*2*2=8\\5^2=5*5=25[/tex]
Now that you have the values for these two exponents, multiply all the numbers together.
8 x 3 x 25 x 7 = 4,200
A stack of logs has 17 logs on the bottom layer. Each subsequent layer has 3 fewer logs than the previous layer. If the top layer has two logs, how many total logs are in the pile?
Answer:
152 logs
Step-by-step explanation:
This question is an Arithmetic progression question
A stack of logs has 17 logs on the bottom layer.
First term = a1 = 17
We are told that: each subsequent layer has 3 fewer logs than the previous layer.
Common difference = 3
Hence, Second term = 17 - 3 = 14
Third term = 14 - 3 = 11
If the top layer has two logs,
Last term = 2
Step 1
We find the number of layers of logs present
Number of logs in the bottom layer - number of logs in the first layer + 1
= 17 - 2 +1
= 16 layers
Step 2
We are asked in the question to find , how many total logs are in the pile?
This means, we are to find the sum of terms in the Arithmetic progression.
The formula is given as
Sn = n/2(a + l)
Where a = First term = 17
l = Last term = 2
Sn = n/2(17 + 2)
Sn = 16/2(19)
Sn = 8 × 19
Sn= 152 logs
Two brothers Steven and Walter each inherit 41000. Steven invests his inheritance in a savings account with an annual return of 2.7% while Walter invests his inheritance in a cd paying 6.4% annually. How much more money than Steven does Walter have after 1 year
Answer:
Walter earns $1,517 more than Stevens in one year.
Step-by-step explanation:
Giving the following information:
Two brothers Steven and Walter each inherit $41,000
Steven:
Annual return= 2.7%
Walter:
Annual return= 6.4%
To determine the future value for the brothers, we need to use the following formula:
FV= PV*(1+i)^n
Steven:
FV= 41,000*1.027= $42,107
Walter:
FV= 41,000*1.064= $43,624
Difference= 43,624 - 42,107= $1,517
Walter earns $1,517 more than Stevens in one year.
Find the smallest value of n such that the LCM of n and 15 is 45
Answer:
n=9
Step-by-step explanation:
LCM(n,15)=45
LCM(9,15)=45
which of the following is the contrapositive of he statement, “if it is a horse, then it is an animal”?
Answer:
"if it is not an animal, then it is not a horse"
Step-by-step explanation:
Lets say we had an original statement that is "if a, then b." The contrapositive to this statement would be "if not b, then not a."
To find the contrapositive to a statement, you would swap and negate the hypothesis, or the "a" in the example statements above, and the conclusion, or the "b" in the example statements above.
For the statement "if it is a horse, then it is an animal", to find the contrapositive, lets first swap the hypothesis and conclusion:
"if it is an animal, then it is a horse"
Now lets negate both the hypothesis and conclusion. To do this, lets change the "it is" to "it is not" in both the hypothesis and conclusion.
"if it is not an animal, then it is not a horse"
And now we have the contrapositive to the statement.
I hope you find my answer helpful.
Which Venn diagram correctly describes the relationship between Set R and Set Q?
Answer:
D. because all irrational numbers are real numbers.
Step-by-step explanation:
Real numbers include virtually all numbers we can come up with, either negative or positive, rational or irrational, decimals, etc. They are not imaginary numbers.
Irrational numbers include all numbers that cannot be written as a quotient of two integers. They are numbers whose decimals are never terminating. Examples include π, √2 etc.
Irrational are a subset of real numbers.
Therefore, the correct venn diagram that shows this relationship between Set R {real numbers} and Set Q {irrational numbers} is the venn diagram in option D (last option), because, all irrational numbers are real numbers.
4 + 9 = 11 I really need help with this question
Answer:
4+9≠11 like srsly 4+9=13.... but if ur talking about 4x+9=11 then the answer is 1/2
Step-by-step explanation:
IF YOU'RE TALKING ABOUT 4x+9=11, THEN .....
-9 -9
4x=2
/4 /4
x=1/2
(2x + 5)² + (2x - 5)²
Answer:
Step-by-step explanation:
4x^2 + 20x + 25 + 4x^2 - 20x + 25
8x^2 + 50
f(x) = 4x + 5; Find f(8)= Evaluate
Answer:
f(8)=4(8) +5
=32 +5
=37
Kelly berjoging di sekeliling taman sebanyak tiga kali dalam seminggu. Taman itu berbentuk segi empat sama dan menpunyai sisi yang berukuran 80m. Cari jumlah jarak Kelly berjoging dalam seminggu
3 x 80(4) = 960
80 multiply with 4 as the length of the sisi of the square is 80m and has four sisi.
3 multiply 80(4) as Kelly jog three times a week
are 2d and 4d like terms
Answer: Yes they are like terms
They both have the same variable so that is why they are like terms.
We can think of 'd' representing something like "dogs" maybe
d = 1 dog
2d = 2 dogs
3d = 3 dogs
4d = 4 dogs
and so on
Adding 2d with 4d gets us 2d+4d = 6d meaning we have 6 dogs overall if we started with 2 and added on 4 more. This is one way to help see why we can combine like terms.
In contrast, something like 2c+4d cannot be combined since having 2 cats and 4 dogs doesn't result in 6 cats or 6 dogs. We just simply leave it as 2c+4d.
Help meeeeeeeeee!!!!!!!!!
Answer:
2
Step-by-step explanation:
Monday, Tuesday.
Answer:
The answer is 3
Step-by-step explanation:
The blue part is above the orange part three times, therefore the answer is 3.
Hope this helps.
What has the same value as |-5| ?
Answer:
5
Step-by-step explanation:
This is because |-5| is equal to 5
Answer:
It is 5
Step-by-step explanation:
The absolute value sign means how many spots that number is away from the 0 on the number line so it makes all numbers positive except if there is a negative sign on the outside of the absolute value sign
Solve -1/2w - 3/5 = 1/5w
Answer:
w = -6/7
Step-by-step explanation:
Step 1:
-5/10w - 6/10 = 2/10w
Step 2:
-6/10 = 7/10w
Step 3:
-6/10 × 10/7w
Answer:
w = -6/7
Hope This Helps :)
Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −8?
Select one:
a. −2x − 8 > −44 and −2x − 8 ≥ −8
b. −2x > −44 and −8 ≥ −8
c. −2x − 8 < −44 and −2x − 8 ≤ −8
d. −2x − 8 < −44 and −2x − 8 ≥ −8
Answer:
C.
Step-by-step explanation:
At the beginning of the week, Yolanda withdrew $75.00 from her savings account. She then used her debit card to buy groceries for $30.89 and gas for $21. At the end of the week, she deposited $100 into her savings account.
Answer:
226.89
Step-by-step explanation:
Answer:
(-) withdraw/earn
(+) deposit/spend
$75.00 - $30.89 - $21.00 + $100 = $123.11
$75 - $30.89 = $44.11
$44.11 - $21.00 = $23.11
$23.11 + $100 = $123.11
If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s t)(-7)? A. -439 B. -141 C. 153 D. 443 please answer quick this test is timed!
We're trying to find [tex]s(t(-7))[/tex].
[tex]t(-7)=3(-7)[/tex]
[tex]t(-7)=-21[/tex]
[tex]s(-21)=2-(-21)^2[/tex]
[tex]s(-21)=2-441[/tex]
[tex]s(-21)=-439[/tex]
Hope this helps.
頑張って!
Find the missing exponent
Answer:
where is the rest of the context?
What does x represent in f-1(x) = 30? What is the value of x?
HELP!!! WILL GIVE BRAINLEST AND POINTS!!! PLEASE SOLVE THESE TWO EQUATIONS!! -2(x + 4) = -16 x/3 + 5 = 10
Answer:
4, 15
Step-by-step explanation:
First of all, simplify the first equation. When you simplify, you get -2x-8 = -16, which you then add 8 to both sides. You get -2x = -8, so you divide both sides by -2 to get 4. In the second equation, you subtract 5 from both sides to get x/3= 5. Multiply both sides by 3 to get the value of x, and you'll get the equation of x=15, which is the answer.
simplify 5 + 2² - 3(6) ÷ 3
Answer:
+3
Step-by-step explanation:
first: -3(6)÷3 = -18 ÷ 3= -6
2nd: 2²=4
3rd: 5+4-6=+3
Answer:
3
Step-by-step explanation:
5+4-(3x6)/3
5+4-18/3 (because of order of ops, you divide)
5+4-6 (then combine like terms)
9-6
3
FIRST TO ANSWER WILL GET BRAINLIEST At a local fitness center, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Answer:
c represents the number of classes
6 + 5c = 6c
Can you solve for c and answer?
What are the coordinates
of the midpoint, P, of QT
with endpoints Q(-2,-8)
and T(1,5)?
Thank you!
Answer:
(-1/2 , -3/2)
Step-by-step explanation:
midpoint formula:
(x₁ + x₂) / 2 , (y₁ + y₂) / 2
(-2 + 1) / 2 , (-8 + 5) / 2
P: (-1/2 , -3/2)
Where is (2,-6) located on the coordinate plane?
Is it y-Axis or A-axis and what quadrant ?
Answer:
(2, -6) 2 is on the x-axis and -6 is on the y-axis.
Step-by-step explanation: X-Axis is horizontal and Y is vertical. X can also be remembered as left to right. Y-axis runs up and down. It would be in the IV (fourth) quadrant.
Answer:
Step-by-step explanation:
its in the forth box
HELP WILL MARK BRAINLIEST!!
y = x2 – 2x + 3
y = 2x – 3
Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance
by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per
day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time,
t, in weeks?
Answer: The answer should be
C) f(t)=1.5t+5
Please help Explanation will be appreciated thanks,
Answer: A; 6.3%
Step-by-step explanation:
Problem 1
For the first problem, we first want to find y so that we can plug it into the expression.
We can use elimination method for the system of equations to solve.
3x+3y=21
3x-y=5
We subtract both equations to eliminate x.
4y=16 [divide both sides by 4]
y=4
Now that we know y, we can plug it into the expression.
[tex]\frac{4}{2} -3[/tex] [divide]
[tex]2-3[/tex] [subtract]
[tex]-1[/tex]
We know that the answer is A.
--------------------------------------------------------------------------------------------------------
Problem 2
For the second problem, we need to know how to calculate percent error. The formula for precent error is [tex]\frac{|measured-exact|}{exact} *100%[/tex]. We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.
[tex]\frac{|75-80|}{80} *100%[/tex] [subtract]
[tex]\frac{|-5|}{80} *100%[/tex] [solve absolue value]
[tex]\frac{5}{80} *100%[/tex] [divide]
[tex]0.0625*100%[/tex] [multiply]
[tex]6.25[/tex]
Since the problem said to round to one decimal place, we know that the answer is 6.3%.
find the perimeter please it said it has to be 20 characters long don’t mind this
Answer:
[tex]16x^2 + 18y[/tex] units
Step-by-step explanation:
The perimeter of a rectangle is [tex]2l+2w[/tex], where l and w are the length and width respectively. Since we know the value of the length and width, we can substitute inside the equation.
[tex]2(x+5y) + 2(8x^2 - x + 4y)\\\\2x + 10y + 16x^2 - 2x + 8y[/tex]
We can now combine like terms to get [tex]16x^2 + 18y[/tex].
Hope this helped!
Please help I’m hella behind
Answer: I can’t really see 4 but 7 is B and 10 is C
Step-by-step explanation: