Answer:
1/5
Step-by-step explanation:
You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.
Which of the following represents the solution to the inequality 4x - 2 ≤ 10?
Answer:
Step-by-step explanation:
Okay so solving an inequality is essentially the same as solving an expression, just with a different symbol.
We can first separate the x to the left and whole numbers to the right side.
TIP INPORTANT: Put your variable numbers on the left side and your whole numbers which are the numbers without variables on the right side
so,
4x ≤ 10 + 2
which is,
4x ≤ 12, therefore,
x ≤ 3.
Hope this helps!
The solution is x ≤ 3
What is an Inequality Equation?
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
4 x - 2 ≤ 10
Adding 2 on both sides , we get
4 x ≤ 12
Divide by 4 on both sides , we get
x ≤ 3
Hence , the solution is x ≤ 3
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Melissa used her credit card to buy a $745 refrigerator. She kept the refrigerator for exactly nine years, during which time it consumed an average of $0.19 of electricity every day. Melissa’s credit card has an APR of 16.84%, compounded monthly. Melissa paid off her refrigerator by making identical monthly payments for four years. If she made no other purchases with her card, what percentage of the lifetime cost of the refrigerator did the electricity make up? (Assume that two of the years were leap years, and round all dollar values to the nearest cent.) a. 59.17% b. 18.48% c. 66.99% d. 37.77%
Answer:
37.77
Step-by-step explanation:
P= PV x i / 1- (1+i)^-n
PV = 745
I = .1684 / 12 = .01403
N = 4 x 12 = 48
.19 x (365 x 9) = 624.53
21.4338469 x 48= 1028.12
624.53 / (624.53+1028.12) = 37.77
The percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.
Percentage of the lifetime costUsing this formula
P= Pv x i / 1- (1+i)^-n
Where:
Present value = 745
Interest= .1684 / 12 = .01403
Number of months = 4 x 12 = 48
Hence:
Percentage=.19 x (365 x 9)/(.19 x (365 x 9)+(21.4338469 x 48)
Percentage=624.53 / (624.53+1028.12)
Percentage= 37.77%
Inconclusion the percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.
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The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with:______.
a) 5:7.
b) 6:9.
c) 33:100.
d) 21:63.
The question is incomplete. Here is the complete question
The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with this same ratio?
Answer:
21:63
Step-by-step explanation:
The ratio of the width to the rectangle is 1:3
= 1/3
= 0.333333
From the options given we have the following ratios
=5:7
= 5/7
= 0.71428
= 6:9
= 6/9
= 0.666666
= 33:100
= 33/100
= 0.33
= 21:63
= 21/63
= 0.3333333
Hence the ratio which represents the rectangle given above is 21:63
I need to find the surface area of the square pyramid!
(I know I'm stupid lol)
Answer:
L = 260 cm^2
Step-by-step explanation:
height h = 12 cm
slant height s = 13 cm
side length a = 10 cm
lateral edge length e = 13.928388277184 cm
1/2 side length r = 5 cm
volume V = 400 cm^3
lateral surface area L = 260 cm^2
base surface area B = 100 cm^2
total surface area A = 360 cm^2
Genda: h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Answer the question marks, and tell me what sequence number 8 is.
Answer:
f[1] = 60; f[n+1] = f[n] -30f[n] = 60 -30(n-1)Step-by-step explanation:
You observe that each term is 30 less than the previous one. This is the recursive rule. It also means the sequence is arithmetic with a common difference of -30.
Recursive equation
f[1] = 60; f[n+1] = f[n] -30
__
Explicit equation
The general form of the explicit equation is ...
f(n) = f(1) +d(n -1)
Here, we have f(1) = 60 and d = -30, so your equation is ...
f(n) = 60 -30(n -1)
3(-5y+2)= 21 how do i solve this problem algebraically?
Answer:
Step-by-step explanation:
1)expand out the bracket
-15y+6=21
2) get the y to one side
6=21+15y
3) solve
15=15y
1=y
Answer:
Y= -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(−5y+2)=21
(3)(−5y)+(3)(2)=21(Distribute)
−15y+6=21
Step 2: Subtract 6 from both sides.
−15y+6−6=21−6
−15y=15
Step 3: Divide both sides by -15.
−15y −15 = 15 −15
Y= -1
Point L is on line segment km. Given km =5x+10, LM=4x, and KL=3x, determine the numerical length of kL
Answer:
KM= KL+LM
5x+10=3x+4x
5x+10=7x
2x=10
x=5
now
kl=3x=3*5=15
A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
3/7➗4/5= How do you solve this problem, step by step?
ILL MARK BRAINLYIEST please help me. 60 points
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)
A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to water?
2 to 9
3 to 8
3 to 9
9 to 3
Answer:
c. 3 to 9
Step-by-step explanation:
It was right on edg 2020
plz help me with these two questions ( show work plz)
Step-by-step explanation:
3. 7 = -2y + 4
2y = 4 - 7
2y = -3
y = -1.5
5. -3x - 2 = -17
17 - 2 = 3x
15 = 3x
3x = 15
x = 15/3
x = 5
simplify (4x+1)(3+9x)
Answer:
36 x 2 + 21 x + 3
Step-by-step explanation:
Simplify the expression.
Add and subtract the second term to the expression and factor by grouping. You get 3 ( 4 x + 1 ) ( 3 x + 1 )
Can someone help pls ??:(
please help me with this question! WILL MARK BRAINLIEST
Answer:
as reference angle is a
h=5
b=3
p=4
sinA= p/h= 4/5
cosA= b/h= 3/5
tanA= p/b=4/5
Step-by-step explanation:
Step-by-step explanation:
[tex]sine \: A = \frac{4}{5}\\\\
cosine \: A = \frac{3}{5}\\\\
tangent \: A = \frac{4}{3}\\\\[/tex]
If the cost, C. for manufacturing x units of a certain product is given by C = x2 + 35x + 35, find the number of units manufactured at a cost of $10,235.
Answer: 85 units
Step-by-step explanation:
x^2 +35x + 35 = 10235
-10235 on both sides
x^2 + 35x -10200
Now Factor
( x - 85 ) ( x + 120 )
Now plug in for x using 85 or -120
(85)^2 + 35(85) + 35
7225 + 2975 + 35 = 10235
So 85 is the right answer
Can you please help
Solve: 4 + x/7 = 2
Answers are:
-14
10
12
42
The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charged $6 for each car.
Which of the following expressions represents the money they raised for their trip?
Answer: $415
Step-by-step explanation: 75 x $6 = 450. 450 - 35 = 415
Describe how each model can help you round a decimal.
You
Graph the image of the given triangle under a dilation with a scale factor of –4 and center of dilation (0,0).
Step-by-step explanation:
Hey there!
The coordinates of a triangle are;
A (1,2)B (1,-2)C (-2,-2)Scale factor = -4 and centre at (0,0)Now, We have;
P(x,y)----------- P'(kx, ky)
Keep formula;
A(1,2)---------- A'(-4×1 ,-4×2)
= A'(-4, -8)
B(1,-2)------------- B'(-4,8)
C(-2,-2)-------------C'(8,8)
[ The A' should be kept in (-4,-8). There was no place in this graph so, i kept it just below -7. Please while plotting remember to keep it on "-8".]
Hope it helps..
A is a 3 times 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax = b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution? No Yes
(b) Does the equation Ax = b have at least one solution for every possible b? No Yes
Answer:
The following are the answer:
In option a "No".
In option b "Yes".
Step-by-step explanation:
In choice a:
Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.
It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.
In choice b:
we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.
the inequality 13q<7q-29 and write the solution in fraction formats and interval notations
Answer:(-infinity,-29/6)
Step-by-step explanation:
Interval notation of this problem.
A marble is selected at random from a jar containing 5 red marbles, 2 yellow marbles & 3 green marbles. What is the probability that a)the marble is red
b)the marble is not yellow
c)the marble is either red or green
d)the marble is neither red nor green
Answer:
5/11
explanation
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
when do historians believe that Euclid complete his work
Answer:
2.999 millions hours ago
Step-by-step explanation: :)
Dianna made several loaves of bread yesterday. Each loaf required 23 cups of flour. All together, she used 13.
flour. How many loaves did Dianna make?
O 3 loaves
4 loaves
5 loaves
O 7 loaves
Answer: c
Step-by-step explanation:
what is 4 fourths of a dollar
Answer: The answer is 25%
Step-by-step explanation:
solve 0.5 (2x - 4) = -17 in variable
Answer: x = 1 + 0.5c
Step-by-step explanation:
Calculate 19.25 tons equal how many pounds
Answer:
38,500 pounds
Step-by-step explanation:
1 ton = 2000 pounds
Part D
Describe any patterns or trends you noticed when finding the products in part
c
Answer:
The middle two terms cancel out each time, and the final product is x2 plus the product of the positive coefficients of i in the original expression. All imaginary parts either cancel out or get replaced with -1, leaving an expression that doesn’t include imaginary numbers.
Step-by-step explanation:
a/b=c for b helppppp
Answer:
Step-by-step explanation:
A/b = c for b
A/b = c
A = bc
bc = A
b = A/c
Answer:
See below
Step-by-step explanation:
[tex]\frac{A}{b}=c\\\frac{A}{b} * b = c * b\\ A = c * b\\\frac{A}{c} = \frac{c*b}{c}\\\frac{A}{c} = b\\ b =\frac{A}{c}[/tex]