Answer:
$0.36
Step-by-step explanation:
Let the cost per unit of electricity = e
Let the cost per unit of gas = g
a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390;
600e + 100g = 390 ----- i
400 units of electricity and 250 units of gas were used for a total cost of $326.
400e + 250g = 326 ----- ii
Now we have two equations, and we solve for g;
600e + 100g = 390 ----- i
400e + 250g = 326 ----- ii
Multiply equation i by 4 and equation ii by 6;
2400e + 400g = 1560 ---- iii
2400e + 1500g = 1956 ---- iv
Subtract equation iii from iv;
1100g = 396
g = [tex]\frac{396}{1100}[/tex] = 0.36
Cost per unit of gas $0.36
Solve the inequality: 13 – n + 2n > 9
Answer:
n > -4
Step-by-step explanation:
1) Combine like terms.
13 + n > 9
2) Isolate n. (subtract 13 from both sides)
n > -4
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an equation or inequality to find the value of x.
Answer:
Step-by-step explanation:
2( 2x + 6 ) + 2( x - 3 ) ≤ 66
3x - 3 ≤ 33
x ≤ 10
x ∈ ( - ∞ , 10]
Answer:
12
Step-by-step explanation:
that is the answer
What is the average daily temperature for all ten years?
49.6
50.8
52.4
53.6
Answer:
51.6
Step-by-step explanation:
Add them together and divide by 4
Answer: it would be D. 53.6
<3
What is the inverse operations of the equation shown n+4=
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
Please help
Solve the equation sqrt(x + 3) + 4 = 5 for the variable. Show each step of your solution process. (10 points)
Answer:
x=-2
Step-by-step explanation:
sqrt(x+3)+4=5
sqrt(x+3)=1
x+3=1
x=-2
In the expression, the value of variable x is - 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ √(x + 3) + 4 = 5
Now, We can solve the expression for x as;
⇒ √(x + 3) + 4 = 5
Subtract 4 both side, we get;
⇒ √(x + 3) + 4 - 4 = 5 - 4
⇒ √(x + 3) = 1
Taking square both side,
⇒ (√(x + 3))² = 1²
⇒ x + 3 = 1
Subtract 3 both side,
⇒ x + 3 - 3 = 1 - 3
⇒ x = - 2
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You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many bottles of hand sanitizer can you buy when you do not buy any tubes of lip balm?
Answer:
13
Step-by-step explanation:
20÷1.5 since there is not X
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?
Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
[tex]\mu[/tex] = 79
Standard deviation,
[tex]\sigma[/tex] = 3.5
Now,
⇒ [tex]\sigma\bar x = \frac{\sigma}{\sqrt n}[/tex]
[tex]= \frac{3.5}{\sqrt 16}[/tex]
[tex]=0.875[/tex]
⇒ [tex]P(\bar x > 81) = 1 - P(\bar x < 81)[/tex]
So,
= [tex]1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ][/tex]
= [tex]1 - P(z < 2.2857)[/tex]
= [tex]0.0111[/tex]
A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen
Answer:
792 ways
Step-by-step explanation:
We can solve this using the combination formular
[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.
Hence, in this case, n = 12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.
Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.
Match each equation with its graph
Answer:
The first graph would be y=5x+2
The second graph would be y=3x+3
The third graph would be y=2x+3
Step-by-step explanation:
First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.
Second Graph: x = -1.
y=3
The line in the graph goes through both.
Third Graph: x = -1.5
y = 3
The line also goes through both.
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Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
9
Use the graph to answer the following questions.
D
175
150
(4.150)
125
Total Cost
100+
(2.100)
75
50 10.50
25
Days
Part C: Write the equation for the line if x = the number of days and y = the total cost.
So
IM 2020
10
Use the graph to answer the following questions.
a
Your equation for the first point will be y=x+50
Explanation...
The x is zero so we just only put x. The y is 50 so we input a 50 giving us y=x+50.
Your equation for the second point will be y=2x+100.
Explanation...
Your slope is 2 so we input that and the y intercept is 100 giving us the equation y=2x+100.
Your equation for the third point will be y=4x+150
Explanation...
Your slope is 4 so we input that. Your y intercept is 150 so we input that. It gives us the equation y=4x+150.
A woman who weighs 160 pounds on earth weighs 30 on the moon. If a boy weighs 60 pounds on earth , how much dose he weigh on the moon.
Answer:
10 pounds
Step-by-step explanation:
Select the correct months.
The balance of Jim's account on the first day of the month for the first six months of 2013 is given. Identify the months when the balance was
less than the balance in January.
Please answer.
Answer:
June I got u bro it was easy but there u got
Answer:
june,april,march
Step-by-step explanation:
yeeeeeeeeeeeeeeee i <3 waaaaaaaaafuls
The larger of two numbers is four more than three times the smaller. Two times the smaller, increased by five, results in the larger. What are both numbers?
Answer:
Determine the area of the archway with a semicircle top arch and two rectangular pillars.
The lower supports are
✔ congruent rectangles
and the area of the two supports is
✔ 24
square meters.
The upper arch can be decomposed as one semicircle with radius
✔ 6
meters minus a semicircle with radius 3 meters.
The area of the archway is (
✔ 13.5
π + 24) square meters.
Step-by-step explanation:
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity.
tan(x)sin(2x)
= tan(x)∙[2sin(x)cos(x)]
= StartFraction sine (x) Over cosine (x) EndFraction times 2 sine (x) cosine (x)
= 2sin2(x)
= 1 – cos(2x)
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.
What is double angle identity?The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)
Given
1 – cos(2x) = tan(x)sin(2x)
Taking R.H.S
tanx.sin2x
= tanx(2 sinx cosx)
2 sinx cosx is a double angle identity
= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]
[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent
= [tex]2sin^{2} x[/tex]
We have simplify by cancelling out cosx.
= 1 - cos(2x)
It is a double angle identity.
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If three servings of ice cream has 24g of fat, how many milligrams of fat does one serving have?
Answer:
600
Step-by-step explanation:
24 by 3 times 100
The number of milligrams of fat that one serving has is 8000 milligrams.
Firstly, it should be noted that
1000mg = 1 gram.
Since three servings of ice cream has 24g of fat, therefore, the fa that will be contained in each will be:
= 24/3
= 8g
Therefore, we'll convert 8 grams to milligrams and this will be:
= 8 × 1000
= 8000 milligrams.
Therefore, a serving has 8000 milligrams.
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For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5
Answer:
the answer is b
Step-by-step explanation:
Let f(x)=2x+7 and g(x)=3x2+2 Find f(g(3))
The answer is 65
I hope it will help
The required simplified solutions of the function f(g(3) ) = 65.
Given that,
f(x)=2x+7 and g(x)=3x2+2, To find f(g(3)).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
g(3) = 3[3]² + 2 = 29
f(g(3)) = 2 [29] + 7 = 65
Thus, the required simplified solutions of the function f(g(3) ) = 65.
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A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? *
Answer:
1647.20
Step-by-step explanation:
You do .58 times 28,400. Then you move the decimal place over 1 place to the left. Because it is already 5.8%
Someone please explain to me how I go about to find this answer. My daughter is having trouble and her algebra 1 teacher ia no help!!!!
Answer:
3/4
Step-by-step explanation:
do you need a deep explanation? or just a quick one?
Answer: the slope is 4/3
Explanation :
1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)
2) to find m, we do rise over run. Y is the rise and x is the run.
3) subtract the y exponents from eachother over the x exponents.
4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.
5) good luck
PLEASE HELP
Evaluate 6 + 10v – 8w when v=4 & w= -2
Answer:
6 + 10v – 8w = 62
Step-by-step explanation:
Given the expression
6 + 10v – 8w
as
v=4w=-2substituting the values in the expression
6 + 10v – 8w = 6 + 10(4) - 8(-2)
= 6 + 40 + 16
= 62
7. Find the value of x and y:
x=
y=
(10x - 61)
(18y + 5)º
(x + 10)
Answer:
y = 8º
y = 8º
Step-by-step explanation:
Given:
(10x - 61)º
(18y + 5)º
(x + 10)º
Find:
x and y
Computation:
(10x - 61) + (x + 10) = 180
11x - 51 = 180
11x = 231
x = 21º
(10x - 61)º = (18y + 5)º [Vertical opposite angle]
10x - 61 = 18y + 5
10x - 18y = 66
5(21) - 9y = 33
y = 8º
what does the power of 10 Mean
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
for example, if the variable x stands for 2, [tex]2^{10}[/tex] stands for 2*2*2*2*2*2*2*2*2*2
What are the different ways to write multiplication in math
Answer:
Different ways to write multiplication include:
3 times 5
3x5
(3)(5)
3(5)
(3)5
etc
Step-by-step explanation:
I hope this helps!
Answer: 3 x 5, 3 · 5, 3 * 5 , (3) (5), 3 (5), and (3) 5. Hope this helps.
Step-by-step explanation:
A package of markers include three box markers and nine colored markers what percent of the markers in the package are color markers
Answer:
66.666%
Step-by-step explanation:
*that is the actual answer*
*i'm not summoning Satan*
Answer:\ Yes, they are color markers.
Step-by-step explanation:
hope this helps!!
Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the line is y=
Answer:
same slope but the y- intercept would be -9
Find the equation of this line in slope intercept form y-2=1/2(x+8)
What is the value of 3-(-2)? 25 -3 -2 -1 0 1 5 0 1 O 5
Answer:
5
Step-by-step explanation:
(because when two negative meets it gives u positive )
I need help ASAP it’s the one with the distributive property
Answer:
6 × (7 + 9) = (6×7)+(6×9)