Answer:
x= -2
Step-by-step explanation:
4x + 2 = 6(-2x - 5)
Distribute
4x+2 = -12x-30
Add 12x to each side
4x+2+12x = -12x-30+12x
16x+2 = -30
Subtract 2 from each side
16x+2-2=-30-2
16x = -32
Divide by 16
16x/16x = -32/16
x = -2
Write 2.71 repeating as a simplified fraction.
271/100 is wrong
Answer:
269/99
Step-by-step explanation:
please help
Question: 6b = 18
Answer: ?
Answer:
6b=18
b=18/6
b=3
.
.
.
.
.
.
Answer:
6b=18
b=18/6
b=3
.
Step-by-step explanation:
From a full 2-litre jug of water Sam pours 5/4
litres.
What fraction of a litre is left?
Answer:
3/4 of a liter
Step-by-step explanation:
2 - 5/4
Get a common denominator
2 *4/4 - 5/4
8/4 - 5/4
3/4
The denominator is 4 so rewrite 2 liters as a fraction with 4 as the denominator.
4/4 = 1 so 2 liters would be 8/4
Now subtract:
8/4 - 5/4 = 3/4
There is 3/4 of a liter left.
Each side of a regular polygon is 3.2 cm in length. The perimeter of the polygon is 19.2 cm. How many sides does the polygon have? What is the name of the polygon?
Answer:
The polygon consists of 6 sides and the given polygon is a regular hexagon.
Step-by-step explanation:
The definition of perimeter is the total measure of the side lengths of a polygon. If the polygon said is regular, it means the polygon has equal sides and equal angles.
So the perimeter of a regular polygon is given by the formula:
P = (length of one side) x (number of sides)
In this case, the perimeter of the polygon is 19.2 cm and one side is equal to 3.2 cm.
DIVIDE (use the formula but in division to maintain a proportonal relationship):
19.2 ÷ 3.2 = 6
You could alsk check if its correct using the formula:
19.2 = 3.2 x 6 (TRUE)
A 6 sided regular polygon is known as a HEXAGON.
Hope this helps!
If Ahmad’s balance is $85, what will the minimum payment be?
At what rates did she invest?
$1400 invested at ____%
$900 invested at ____%
9514 1404 393
Answer:
$1400 at 8%$900 at 10%Step-by-step explanation:
The 1-year interest is simply the invested amount times the interest rate.
Let r represent the lower interest rate. Then r+0.02 is the higher rate, and the total interest earned is ...
1400r + 900(r +.02) = 202
2300r +18 = 202 . . . . . . . . . .simplify
2300r = 184 . . . . . . . . . .subtract 18
r = 184/2300 = 0.08 = 8% . . . . . . divide by the coefficient of r
$1400 was invested at 8%.
$900 was invested at 10%.
find the measure of c
Answer:
B is the correct answer of this question
Is -1 rational or irrational
and is √3 + -1 Rational or irrational
explain if u can pls
Answer:
-1: rational
√3 + -1: irration
Step-by-step explanation:
A rational number is negative, if its numerator and denominator are of the opposite signs.
Hope this helps <3
Geometry please need help I don’t know to do this try to help me please!!!!
Step-by-step explanation:
Note that since [tex]\triangle ABC \cong \triangle DEF,[/tex] we can see from the figure that [tex]\angle B[/tex] and [tex]\angle E[/tex] have the same measure.
a) To solve for the length of [tex]\overline{AB},[/tex] we write
[tex]3x + 6 = 4x \Rightarrow x = 6[/tex]
b) Since the two triangles are congruent, we can say that [tex]\angle A = \angle D[/tex] so we can write
[tex]6y + 12 = 8y + 2[/tex]
Solving for y, we get
[tex]2y = 10 \:\Rightarrow \:y = 5[/tex]
Find the area of the parallelogram. Show all your work.
Answer:
30m^2
Step-by-step explanation:
area of parallelogram is b×h
Answer:
The area of the parallelogram is 30 square meters.
Step-by-step explanation:
The area of a parallelogram is given by the formula:
A = bh
Where b is base and h is height
The base of the parallelogram is:
6 + 4 = 10 m
The height perpendicular to the base is 3 m
Use the formula A = bh:
A = (10)(3)
= 30
So the area of the paralleogram is 30 m^2
Hope this helps!
$88 tickets to the San Francisco 49ers game are offered at a 15%
discount. What is the sale price?
Answer:
74.80
Step-by-step explanation:
First find the discount
88 * 15%
88*.15
13.2
Subtract the discount from the original price
88-13.2
74.80
An investment pays 21% interest compounded weekly what percent as a decimal is the effective annual yield? Enter your answer as a decimal rounded to four decimal places.
9514 1404 393
Answer:
0.2332
Step-by-step explanation:
The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...
e = (1 +r/n)^n -1
For weekly compounding, we have n=52, so ...
e = (1 +0.21/52)^52 -1 = 0.2332 . . . . . . . about 23.32%
John and mike got paid $40.00 for washing
car. John work one hour, mike worked 1.5 hrs.
How much do they get paid for time worked?
If f(x) = 3x + 10 and g(x) = 2x - 4, find (f+ g)(x).
Answer:
5x+6
Step-by-step explanation:
f(x) = 3x + 10
g(x) = 2x - 4
(f+ g)(x)= 3x + 10 + 2x - 4
Combine like terms
= 5x+6
Solve the equation on the interval [0,2pi) 7sec x-7=0
Answer:
2π or 0π are the only points that satisfy the expression, but since the restriction is 0 <= x < 2π
the answer would be 0π
The solution of the equation on the interval [0,2π) is 0.
To find Solution of the equation.
What is equation?A statement that the values of two mathematical expressions are equal.
The given equation is :
7secx-7=0 on the interval [0,2π)
7secx-7=0
7secx=7
sec x =1
∴ x=0
So, the solution of the equation on the interval [0,2π) is 0.
Learn more about equation here:
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Mr. Ghale bought a secondhand scooter for Rs 1,40,000. He spent Rs 7,500 to repair it. At what price should he sell it to gain 10% on his total investment ?
Answer:
153250
Step-by-step explanation:
153250
simplify √-18
A 3i√2
B 9i√2
C -3√2
[tex]\\ \rm\longmapsto \sqrt{-18}[/tex]
[tex]\\ \rm\longmapsto \sqrt{18}i[/tex]
[tex]\\ \rm\longmapsto \sqrt{9\times 2}i[/tex]
[tex]\\ \rm\longmapsto \sqrt{3(3)(2)}i[/tex]
[tex]\\ \rm\longmapsto 3i\sqrt{2}[/tex]
Answer:
A. [tex]\displaystyle 3i\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle \sqrt{-18} → \sqrt{[2][-1][9]}\\ \\ 3i\sqrt{2}[/tex]
As you can see, you need a perfect square to wourk with, which in this case is 9. Now, [tex]\displaystyle \sqrt{-1}[/tex] comes out as an imaginary number [tex]\displaystyle [i],[/tex]so pull it out of the radical alongside 3, [tex]\displaystyle \sqrt{9}.[/tex]
I am joyous to assist you at any time.
Beth has just received an inheritance of $500,000 and would like to be able to make quarterly withdrawals over the next 20 years. She decides on an annuity that pays 6.4%, compounded quarterly. How much will her quarterly payments be to draw the account down to zero at the end of 20 years? Quarterly Payments =
The amount Beth would be able to withdraw quarterly from her inheritance over the next 20 years is Quarterly Payments ≈ $11,124.53
The given parameters in the question;
Present value of inheritance, PV = $500,000
The number of years of withdrawal, n = 20 years
Interest rate, i = 6.4%
The required parameter;
The amount Beth would be able to withdraw quarterly over the next 20 years to draw the account down to zero, given a quarterly interest rate of 6.4%
Method
The required parameter is given by the payment formula
The question is related with annuity given that withdrawals will be made quarterly
The question seeks to find how much she can withdraw so as to exhaust the balance in 20 years
The amount she can withdraw quarterly is given by the payment formula as follows;
[tex]\mathbf{PMT = PV \times \dfrac{i}{1 - \left(1 + i\right)^{-n}}}[/tex]
Where;
PMT = The amount of quarterly payments
PV = The present value of the investment = $500,000
i = The interest rate = 6.4%
n = The number of years = 20 years
Therefore, we get;
[tex]\mathbf{PMT = 500,000 \times \dfrac{\dfrac{0.064}{4} }{1 - \left(1 + \dfrac{0.064}{4} \right)^{-4 \times 20}} \approx 11,124.53}[/tex]
The amount she can withdraw quarterly for the next 20 years ≈ $11,124.53
Quarterly payment, PMT = $11,124.53
Learn more about annuity here;
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Consider the given statement. Determine whether its is equivalent to the given statement, a negation, or neither. Attached is the photo reference.
Answer:
1. Negation
2. Equivalent
3. Neither
4. Neither
Step-by-step explanation:
p ^ ~q
~q → p~
~q ∨ p
~p ∨q
Farah is x years old. Ibtisam is 3 years younger than Farah. Muna is twice as old as Ibtisam. Write and expression in terms of x, for
(a) Ibtisam's age,
(b) The sum of their three ages, giving your answer in its simplest form.
Answer:
Farah: x
Ibtisam: x-3
Muna: 2(x-3) or 2x-6
Sum of all their ages: 4x-6
Step-by-step explanation:
Farah is x, so we don't need an expression for that.
Ibtisam is 3 years younger than Farah, which means that we need to subtract 3 from Farah, and that would be Ibtisam's age. x-3.
Muna is 2 TIMES Ibtisam's age, so we need to multiply whatever expression taht was used for Ibtisam by 2. Put brackets around the equation with 2 outside: 2(x-3). Solve and you get 4x-6
Now, you have all their ages in expression form, now you need to simplify by adding:
x+x+2x-6
We cannot simplify -6, so we put that aside. Add all the x's and you get 4x, insert the minus 6 at the end:
4x-6
Hope this helps!
--Applepi101
Answer:
a) X -3
b) 4x - 9
Step-by-step explanation:
a) Farah's age is X so Ibtisam will be X - 3 old since he is 3years younger than Farah
b) Farah is X years old
Ibtisam is X - 3 years old
Muna is 2(X -3) since she is 2 times older than Ibtisam.
the sum of Thier ages will be
X + X -3 + 2(x-3)
= 2x - 3 + 2x - 6
= 4x - 9
What should be added to 9x to get 15x ?
with formal
Answer:
15x-9x=6x
please mark me as brainliest
Answer:
6x.
Step-by-step explanation:
15x - 9x = 6x.
find the surface area of each figure. round your answer to the nearest tenth
Answer: 378.57mi²
Step-by-step explanation:
Formula = a²+2a√{(a²/4)+h²}
please click thanks and mark brainliest if you like :)
find the greatest number that divides 56 and 84 exactly
Answer:
28
Step-by-step explanation:
Find the gcf
Suppose A and B are events with P(A) = 1/4, P(B) = 1/3 and P(A cup B)= 1 2 a ) Find P(A cap B) b) Find P(A|B)
Answer:
Step-by-step explanation:
Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support. What's the best way to get to a consensus? a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then votes. O c) The team passes the decision-making responsibility to an outside person. O di The team leader makes a decision without input from the other members.
Verizon charges a $40 sign-up fee and the $60 a month for their new hotspot. T-Mobile
charges $100 sign-up fee and then $45 per month for their new hotspot. After how many
months of service will the two company's fees be the same?
Step-by-step explanation:
Start Unlimited:
$70 for one line
$60 for two lines
$45 for three lines
$35 for four lines
Play More Unlimited:
$80 for one line
$70 for two lines
$55 for three lines
$45 for four lines
Do More Unlimited:
$80 for one line
$70 for two lines
$55 for three lines
$45 for four lines
Get More Unlimited:
$90 for one line
$80 for two lines
$65 for three lines
$55 for four lines
Answer:
4 months
As we show that ;
40 + (60x * 4) = 280
100 + (45x * 4) = 280
but in simultaneous equations Verizon must be set equal to 240 being 80 x 3
and T mobile must be equal to 45 x 4 = 180
so that 240+ 180 = 420 to find 4
This would be a method on distribution as "60 sign up is 1/3 more than 1st equation.
Step-by-step explanation:
This is a simultaneous equation but trial and error is below to prove all is true.
step 1 make all equations same
40s + (60x) * 3 = 180x LCM = 80 x 3 = 1 1/3 of 60
100s + (45x) * 4 = 180x LCM = 45 x 4 = 1 of 45 as verizon charges 1/3 more sign up.
100s- 40s + 180x = (180x) = 240 + 180
60s + 180x = 420
s = 60
so our equations must each end with 420
when we get 60s + 180x = 420 then
420 - 180 = 240
240/60 = 4
x = 4 months
Verizon = 1st and T mobile = 2nd
40 + (60x * 5) = 340
100 + 45x * 5 = 325
with $15 out after 5 months so we try 6 months
40 + (60x * 6) = 400
100 + 45x * 6 = 370
and see this is increasing in difference, so try a smaller value of months..
We try 4 months;
40 + (60x * 4) = 280
100 + (45x * 4) = 280
Find the distance given the coordinates (-2, -1) & (-8, 7) in the simplest form
O 72
072
O 10
O 100
Find the probability
A bag contains 6 red marbles, 8 blue marbles, and 9 green marbles. What is the probability of choosing a blue marble?
Answer is in a box.
The bag contains 6 red marbles, 8 blue marbles and 9 green marbles, that is 23 marbles.
The probability that one of the 23 marbles will be picked is 1 or 100%, we are picking a marble for sure.
So what is the probability you will pick for example one of the 6 red marbles? It is 6 out of 23 but since we need percentages multiply by 100,
[tex]\frac{6}{23}\cdot100\approx26.09\%[/tex]
The probability to pick a blue marble is,
[tex]\boxed{\frac{8}{23}}\cdot100\approx34.78\%[/tex]
And the probability to pick a green marble is,
[tex]\frac{9}{23}\cdot100\approx39.13\%[/tex]
To check that everything is right you can sum all the probabilities; the probability that it will be either red, blue or green is 100% so the individual probabilities must sum to 100%, and they do,
[tex]26.09\%+34.78\%+39.13\%=100\%[/tex]
Hope this helps :)
Solve each system by graphing.
Answer:
(2,-1)
Step-by-step explanation:
Solved using math.
Answer:
The solution is (2, -1) to show this by graphing do y = -1 by making a straight horizontal line at (0,-1) . And then for the other equation make a line where it starts at (0,4) and passes point (2,-1). Just plot those two points and connect them and you'll have made the line.
Step-by-step explanation:
anybody know how to do this? if so, please explain!
Answer:
The x-intercepts are at (-4, 0) and (3, 0). The y-intercept is at (0, 1.2).
The graph is increasing at (-4, 0), (2.082, -0.604), (3, 0).
The graph is decreasing at (-2.082, 3.004), (0, 1.2), (1, 0)
Step-by-step explanation:
