Answer:
A. 2 packs
Step-by-step explanation:
what is the variable in the expression 3y+8
12 years ago, a mother was twice as old as her son. their present age are in the ratio of 14:9. find their present ages.
Answer:
The presents age of the mom is 42 years old, and of the son is 27 years old.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
The mothers age is x.
The son's age is y.
12 years ago, a mother was twice as old as her son.
This means that:
[tex]x - 12 = 2(y - 12)[/tex]
[tex]x = 2y - 24 + 12[/tex]
[tex]x = 2y - 12[/tex]
Their present age are in the ratio of 14:9.
This means that:
[tex]\frac{x}{y} = \frac{14}{9}[/tex]
[tex]14y = 9x[/tex]
Since [tex]x = 2y - 12[/tex]
[tex]14y = 9(2y - 12)[/tex]
[tex]18y - 108 = 14y[/tex]
[tex]4y = 108[/tex]
[tex]y = \frac{108}{4}[/tex]
[tex]y = 27[/tex]
[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]
The presents age of the mom is 42 years old, and of the son is 27 years old.
Factor equation
x2 – 5x – 6
Answer:
(x+1) (x−6)
Step-by-step explanation:
Answer:
x 2 − 5 x − 6
Step-by-step explanation:
Solve the system of linear equations by ellmination. 5x + 9y = -11 3x + 9y = -3 A. (-4,-1) -B. (-1, –4) C. (-4,1) D. (1,-4)
Answer:
Step-by-step explanation:
5x + 9y = -11
3x + 9y = -3
5x + 9y = -11
-3x - 9y = 3
2x = -8
x = -4
-12 + 9y = -3
9y = 9
y = 1
(-4, 1)
Answer is C
Help me with this question please please
Solve the inequality.
x+7 > 18
The solution is
Graph the solution.
Answer:
Step-by-step explanation:
sshshfdf
solve similar triangles advanced Pleasee help! TIA
Answer:
[tex]x = 3.5[/tex]
Step-by-step explanation:
Given
Attached Triangle
Required
Find x
To solve for x, we make use of the following equivalent ratios:
[tex]CB : BA = ED : DA[/tex]
Where:
[tex]CB = 2[/tex]
[tex]BA = 4[/tex]
[tex]ED = x[/tex]
[tex]DA = 3 + 4 = 7[/tex]
So, the expression becomes:
[tex]CB : BA = ED : DA[/tex]
[tex]2 : 4 = x : 7[/tex]
Express as fraction
[tex]\frac{2 }{ 4} = \frac{x }{ 7}[/tex]
Multiply both sides by 7
[tex]7*\frac{2 }{ 4} = \frac{x }{ 7}*7[/tex]
[tex]7*\frac{2 }{ 4} = x[/tex]
[tex]\frac{7*2 }{ 4} = x[/tex]
[tex]\frac{14}{4} = x[/tex]
[tex]3.5 = x[/tex]
[tex]x = 3.5[/tex]
Is this correct please answer
Answer:
no need to skip a line between the office equipment and common stock.
Step-by-step explanation:
Write the following sentence using mathematical symbols. The quotient of n and 10 is 8 times n. The answer is .
Answer:
n ÷ 10 = 8 x n
please help me
I need help bad
Answer:
C)
Step-by-step explanation:
I hope this helps :)
Evaluate the expression
5.4+ab, if a = 4 and b = 8
Answer:
37.4
Step-by-step explanation:
a = 4 and b = 8
change the equation
5.4 + (4) (8)
use P.E.M.D.A.S. and multiply
4*8 = 32
add
5.4 + 32 = 37.4
Classify the following triangle.
Answer:
Isosceles obtuse Triangle
Which two angles are adjacent?
∠AHD and ∠AHB
∠DHB and ∠BHF
∠AHD and ∠BHF
I don't know.
Imported Asset
Answer:
I think it is ∠DHB and ∠BHF
Step-by-step explanation:
Because they share a common side
15. A private swimming club
ges $2.50
After the first hour, swimmers have to pay an additional $1.50 for each h.
hour, or part of a half hour thereafter. Georgina and her friend swam int
pool for x hours.
Answer:$11.00
Step-by-step explanation:
If the original parabola f(x) = x2 were transformed into f(x) = 4(x - 3)2 +1, what changes took place?
А
The parabola would be vertically stretched by a factor of 4, translated right 3 and up 1.
B
The parabola would be vertically compressed by a factor of 4, translated right 3 and down 1.
С
The parabola would be vertically stretched by a factor of 4, translated left 3 and up 1.
D
The parabola would be vertically compressed by a factor of 3, translated left 3 and down 1.
Answer:
A
Step-by-step explanation:
An amount of $44,000 is borrowed for 9 years at 3% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid
back?
Answer:
A= $52,190.93
Step-by-step explanation:
A = $ 52,190.93
A = P + I where
P (principal) = $ 40,000.00
I (interest) = $ 12,190.93
Calculation Steps:
First, convert R percent to r a decimal
r = R/100
r = 3%/100
r = 0.03 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 40,000.00(1 + 0.03/1)(1)(9)
A = $ 52,190.93
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 40,000.00 at a rate of 3% per year
compounded 1 times per year
over 9 years is $ 52,190.93.
Simplify the expression.
3.59 + 5 - 2.5
Answer:
6.09
Step-by-step explanation:
3.59 + 5 - 2.5 = 6.09
hope this helps...
Round 342.296269789 to 2 decimal places.
Answer:
342.30
Step-by-step explanation:
342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.
what is 246 : 7 in long division
Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.
Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:
246 = dividend
7 = divisor
Step 1:
Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:
7 ⟌ 2 4 6
Step 2:
The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
7 ⟌ 2 4 6
Step 3:
Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.
0
7 ⟌ 2 4 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
7 ⟌ 2 4 6
- 0
2
Step 5:
Move down the 2nd digit of the dividend (4) like this:
0
7 ⟌ 2 4 6
- 0
2 4
Step 6:
The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:
0 3
7 ⟌ 2 4 6
- 0
2 4
Step 7:
Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:
0 3
7 ⟌ 2 4 6
- 0
2 4
2 1
Step 8:
Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.
0 3
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3
Step 9:
Move down the last digit of the dividend (6) like this:
0 3
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
Step 10:
The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
Step 11:
Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
- 3 5
1
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 246 divided by 7 calculated using Long Division is:
35
1 Remainder
Mark as brainlist
n electric vehicle has a battery pack that is made up of 10 individual cells. With a 95% probability, we know that any given cell will last at for least 10,000 charge-discharge cycles. Assuming that the failure of any given cell in the battery pack does not depend, in any way, on the performance of any other cell in the battery pack, what is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Answer:
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Step-by-step explanation:
For each cell, there are only two possible outcomes. Either it will least for at least 10,000 charge-discharge cycles, or it will not. Cells are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 individual cells.
This means that [tex]n = 10[/tex]
95% probability
This means that [tex]p = 0.95[/tex]
What is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
This is P(X = 10).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
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SHOW THE WORK PLSSS
Answer:
[tex] \frac{9 {x}^{4} {y}^{3} }{24 {x}^{ - 2}y } \\ \frac{3 {x}^{2} {y}^{2} }{8} [/tex]
A large pizza costs $15.99. A second large pizza is 2/3 off. Using an estimate, approximately how much will it cost for 2 large pizzas?
don’t understand, plz explain very urgent
if I go into the store with $26 and I leave and come out with $11.70 how much did I spend
Answer:
$14.30
Step-by-step explanation:
26 - 11.70 = 14.30
Can anyone help I do t know how to find all seven angles
Answer:
1. 110
2. 70
3. 70
4. 110
5. 110
6. 70
7. 70
Step-by-step explanation:
when to lines cross, opposite angles are equal so like 1 and 4 are equal
1, 4, and 5 are equal to 110
to find 2, 3, 6, and 7, subtract 110 from 180
Step-by-step explanation:
110 is vertical from angle 5 so they are the same
180-110=70 degrees
In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed
Answer:
Normal distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.
As their financial advisor, what part of Kyle and Linda’s financial plan would you encourage them to work on and why?
a.
Their plan for managing income.
Their net cash flow is negative.
b.
Their plan for managing their liquidity.
They are not prepared for emergencies.
c.
Their plan for retirement.
They don’t contribute enough to meet their long term goals.
d.
Their plan for protecting their assets.
They should have life insurance on Linda.
Answer:
I think that there should be an image attached but your best bet is probably a.
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
i just took the test edge 2021!
RJ's recipe for cupcakes calls for sugar, flour, and milk in the ratio of 3:4:2. If a batch of
cupcakes contains 12 tablespoons of flour, how many tablespoons of sugar does it contain?
A) 9 tablespoons
B) 6 tablespoons
C) 10 tablespoons
D) 15 tablespoons
8. Read this question carefully. PLEASE NEED HELP NOWWW
At a dinner, the meal cost $32.00 and a sales tax of $2.40 was added to
the bill.
a. How much would the sales tax be on a $66.00 meal?
b. What is the tax rate for meals at this restaurant?

Answer:
a.70.95
b. 7.5
Step-by-step explanation
If you divide 2.40 by 32, you get the ratio of the tip to cost, which is 0.075, or 7.5 percent. Multiply 66 by 1.075, which includes both the cost and the tax.
Submit the worksheet with your constructions to your teacher to be graded. Click on the SAVE button to indicate that the assignment is complete.
Answer:
mom?
Step-by-step explanation:
