Four less than the sum of a number and 7 is eight more than twice that number. find the number.
Answers
Answer:
-5
Step-by-step explanation:
To find the number, let's break down the problem step by step.
First, let's assign a variable to represent the unknown number. Let's call it "x."
According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."
Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."
Now, we can set up an equation based on the information given:
(x + 7) - 4 = 2x + 8
Let's solve this equation to find the value of x.
First, let's simplify the left side of the equation:
x + 7 - 4 = 2x + 8
x + 3 = 2x + 8
Next, let's isolate the variable by subtracting x from both sides:
x - x + 3 = 2x - x + 8
3 = x + 8
To isolate x, we need to get rid of the 8 by subtracting it from both sides:
3 - 8 = x + 8 - 8
-5 = x
Therefore, the number is -5.
To check our answer, let's substitute -5 into the original equation and see if it holds true:
( -5 + 7) - 4 = 2(-5) + 8
2 - 4 = -10 + 8
-2 = -2
The equation holds true, which confirms that the number is indeed -5.
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What is the equation of the line that passes through the point (3,-5) and has aslope of o?
Answers
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6
Nth=-1(-6^(n-1)
NTh=an
a₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216
therefore this serie is rising at an increasing fast speed, it is an geometric progression.
91027 18200 74536 83514
Approximately how many red candies will be in the packages?
Answers
Answer:
5
Step-by-step explanation:
Among the 20 digits shown, each digit appears in the list twice except 0 and 1 appear 3 times and 6 and 9 appear once. That means ...
- 1 appears 3 times
- 2 appears 2 times
So, if 1 and 2 represent red candies, there are 3+2 = 5 red candies in the simulated random sample of 20 candies.
_____
Comment on the question
The simulation makes sense only if it represents taking a single candy from each of 20 packages (of unknown quantity of candies). That is, it seems we cannot answer the question, "how many red candies will be in the packages?" We can only answer the question, "how many of the simulated candies are red?"
Answer:
5
This is the correct answer! I just took the test! Good luck!
t-(7-3t) +5=2t+10
Answers
combine like terms for each side first
(7-4t)-5=2t+10
than combine like terms to one side to make the variable positive
(7)-5=6t+10
next combine like terms to the other side( just the number not the variable
7-5-10=6t
now you simplify again
-8=6t
than you divide both sides by 6 to get t(the variable) by it self
-1
Answers
Answer:
1 orange = 18
185 oranges = x
(cross multiply)
18*185 = x
x= 3,330 kobo
hope this helps
Answer:
3330 kobo
Step-by-step explanation:
We know that one orange costs 18 kobo and we want to find the cost of 185 oranges. We will need to use ratio's for this question. A ratio is to show how much of one thing there is compared to another. So,
1 orange : 18 kobo
185 oranges = ? kobo
185 ÷ 1 = 185
185 × 18 = 3330 kobo
The cost of 185 oranges is 3330 kobo considering that one orange is 18 kobo.
B.15 degrees
C.27 degrees
D.75 degrees
Answers
Final answer:
Answer choice B, 15 degrees
Answer:15
Step-by-step explanation:
credit and had two options:
-
Use his new bank credit card, which has an interest rate of 14.5% compounding daily (Because the this
credit card is new, he has no outstanding balance from the previous month)
Apply for the store credit card, which offers an immediate rebate of $100 on the price, but has an interest
rate of 19.3%, compounded daily.
As with most credit cards, Leonardo would not pay any interest if he paid off the balance before the due date on
his first statement. However, he cannot afford to do this. Both cards require a minimum monthly payment of 2.1%
on the outstanding balance, but Leonardo is confident that he can make regular payments of $110.
Answers
Answer:
assuming 30 day months:
Leonardo can pay up to $110 per month
credit card
daily interest = 14.5% / 360 = 0.040278%
monthly interest = (1 + 0.040278%)³⁰ - 1 = 1.2154%
I prepared an amortization schedule using an excel spreadsheet
It will take Leonardo 29 months to completely pay off his debt. The last payment will only be $37. Leonardo will be able to save $65 on his last payment if he uses his credit card.
store credit
daily interest = 19.3% / 360 = 0.05361%
monthly interest = (1 + 0.05361%)³⁰ - 1 = 1.6209%
principal will be $100 lower, $2,523.95
I prepared an amortization schedule using an excel spreadsheet
It will also take Leonardo 29 months to completely pay off his debt, but the last payment will be $102, which is higher than the $37 that he would need to pay using a credit card.