Answer:
$258
Step-by-step explanation:
y = mx + b
m is the miles and y is the total cost
y = .1(800) + 250
y = 8 + 250
y = 258
To hire an accountant to prepare taxes costs a flat fee and an additional hourly rate. The amount the accountant costs can be modeled by the function A(x)= 150+35x, where x represents
the number of hours the accountant works to prepare the taxes and 150 represents the flat fee. What is the value of A(220) and its interpretation?
A. A(220) = 7850; If the accountant takes 220 hours to prepare the taxes, the cost will be $7,850.
B. A(220)=7850; If the accountant takes 7,850 hours to prepare the taxes, the cost will be $220.
C. A(220) = 2; If the accountant takes 220 hours to prepare the taxes, the cost will be $2.
D. A(220)=2; If the account takes 2 hours to prepare the taxes, the cost will be $220.
Answer:
A. A(220) = 7850; If the accountant takes 220 hours to prepare the taxes, the cost will be $7,850.
Step-by-step explanation:
If 15 sports jerseys cost $345 and 25 jerseys cost $495, write a linear equation that gives the cost C (in dollars) for j jerseys.
The linear equation that gives the cost C (in dollars) for j jerseys is [tex]C = 23j_{1} + 19.80j_{2}[/tex].
How do we derive a linear equation?From the question, the linear equation that gives the cost C (in dollars) for j jerseys can be derived as follows:
[tex]C = 23j_{1} + 19.80j_{2} ............................. (1)[/tex]
Where:
C = total cost of the two jersey
Cost per unit of sports jerseys with $345 cost = $345 / 15 = $23
Cost per unit of jerseys with $495 cost = $495 / $19.80
[tex]j_{1}[/tex] = units of sports jerseys with $345 cost
[tex]j_{2}[/tex] = units of jerseys with $495 cost
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If you have the function f(x) = 5^x - 5 then find the value of f(t)
The value of the function is [tex]5^t-5[/tex] .
A function is defined as a expression containing one or more variables.
A function, in technical terms, is a mechanism to connect a collection of inputs to a set of outputs.
A function of a single variable (say x) is defined mathematically as g(x).
Let us consider a function of a variable x such that it is defined as:
g(x)=x+1
Here the output are calculated for all values of x . At x=1 the value of the function is denoted as g(1)=1+1=2.
Mathematically to calculate the value of the function f(x) for any particular value of x we substitute the value of x into the value of f(x).
Now the given function is given as:
[tex]f(x)=5^x-5[/tex]
Therefore at x=t,
[tex]f(t)=5^t-5[/tex]
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PLEASE HELPE ME FAST
Answer:
S would now only be 3 units from R instead of 6 units from R. Move S three units to the left.
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
The product of 3 and the difference of 5 and a number.
The sentence "5 is subtracted from the square of a number" represented as an algebraic expression is x² -5.
Algebraic expressions: what are they?
A group of integers or variables combined using the operations +, -, o, or constitute an expression. algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.Given,
Let the number be x and 3 is subtracted from a number.
Represent it in expression.
Step 2
3 is subtracted from a number means 3 is subtracted from x.
Here we have to subtract 3 from x. It can be represented as = x - 3
Let the number be x.
In this exercise, you're required to write an algebraic expression to represent the word problem (sentence). Also, the number would be denoted by the letter x and no need for further simplification of the algebraic expression.
Translating the word problem (sentence) into an algebraic expression, we have;
Square of a number (x) = x²
Subtracting 5 from the the square of x, we have x² -5 .
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graph both lines on the same coordinate plane y=1/3x+3 and y+1=3x
how do i graph this?
Answer:
Step-by-step explanation:
you need to turn the second y equation into the correct format, so it needs to be y=. Subtract the 1 from the left side and but it on the right side. Your equation should y=3x-1. To graph this on paper, you would go 1 down on the y axis, then rise (go up) 3 and run ( go over) one.on a calculator plug it into the y1 function and y2 function and then press graph.
1.) (3+x)2-(3+x)=12
2.) 4x2+3(x+6)=0
3.) 2a(6a-8)+4=39
Answer:1. X=9
2. x
=
Step-by-step explanation:
|−4 − 5x|=1 equals
Answer:
Step-by-step explanation:
1/2(x+4)=1/2x+1 is there a solution
Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.
Answer:
(6x) + 9 = 4
Step-by-step explanation:
Times means 'The answer when you multiply' So we are working in multiplication. ( x )
6x is the multiplication.
It says 'more than' which means adding to our answer. So we add 9. So far our equation is: (6x) + 9 (Brackets are needed as we are multiplying 6 by x and not multiplying 6 by x+9)
Lastly, it says the answer must be 4 so we add that at the end. So the answer is:
(6x) + 9 = 4
what is the amount of elements in each region
From the given Venn Diagram, the number of elements in each region is given by:
I = 9.II = 3.III = 6.IV: 4.V: 8VI = 7.VII = 5.VIII = 2.How to find the number of elements in each region of the Venn Diagram?We start from the most restricted region, and count the other regions.
From the intersection of A and C, we have that:
IV + V = 12.
IV + 8 = 12.
IV = 4.
From the intersection of B and C, we have that:
VI + 8 = 15.
VI = 7.
From the intersection of A and B, we have that:
II + V = 11.
II + 8 = 11.
II = 3.
From set A, we have that:
I + II + IV + V = 24.
I + 3 + 4 + 8 = 24
I = 9.
From set B, we have that:
II + III + V + VI = 24.
3 + III + 8 + 7 = 24.
III = 6.
From set C, we have that:
IV + V + VI + VII = 24.
4 + 8 + 7 + VII = 24.
VII = 5.
From the universe set, we have that:
I + II + III + IV + V + VI + VII + VIII = 44.
9 + 3 + 6 + 4 + 8 + 7 + 5 + VIII = 44.
VIII = 2.
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36+29+14 joshua rewrote the ecpression as 36+14+29. What property fid joshua use to rewrite the expession
Answer:
Commutative property because it states that the numbers can be moved around or swapped from their position without making any difference to the answer.
Use the domain {1/2, 1, 2, 4, 8, 16} and plot the points on the graph that would best satisfy the equation y = log2x.
Given equation y = log2x
domain {1/2, 1, 2, 4, 8, 16}.
The graph of six points that would satisfy the equation.
In equation put the value of
x =1/2
y= -1
for x= 1
y=0
for x= 2
y=1
for x= 4
y=2
for x =8
y= 3
for x= 16
y=4
Plot the points {1/2, 1, 2, 4, 8, 16} on a coordinate plane
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The length of a rectangle is 1 fr more than double the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.
The length and width of rectangle is 10 feet and 4.5 feet.
This problem is related to the area and perimeter of plane figures. We have to find the dimensions of the rectangle using the data given.
Given, the length is 1 feet more than twice the width.
Let the width be a feet.
So, length = (2a+1) feet
Now according to question,
[tex](2a+1)(a)=45\\[/tex]
⇒ [tex]2a^{2} +a-45=0[/tex]
On solving the above quadratic equation we get a=4.5 feet.
So, length = 10 feet.
The dimension of rectangle is 10 feet × 4.5 feet.
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About 2 in every 400 people have an extra rib. If there are 580 people in Antoine's middle school, predict how many people have an extra rib.
2.9% of the people in Antonie's middle school have an extra rib
How to calculate the number of people with an extra rib ?Ribs are curved bones that are located in the chest, they help to protect the delicate organs in that part of the body.
About 2 in every 400 people have an extra rib
There are 580 people in Antoine's middle school
The number of people with an extra rib cage can be calculated as follows
= 580 × 2/400
= 1160/400
= 2.9
Hence 2.9% people have an extra rib cage.
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(a) Use the iteration formula +1=10-2x, to find the values of X₁, X2 and xs
Start with Xo = 2
The value for the given question is x₁ = 1.8, x₂ = 1.85, x₃ = 1.846.
Given iteration formula as xₙ ₊ ₁ = ∛ 10 - 2xₙ
Given x₀ = 2
We have to find the values of x₁, x₂, and x₃ as
For finding the value of x₁ we need to substitute n = 0 as
xₙ ₊ ₁ = ∛ 10 - 2xₙ
x₀ ₊ ₁ = ∛ 10 - 2x₀
x₁ = ∛ 10 - 2(2) (∵ x₀ = 2)
x₁ = ∛ 10 - 4
x₁ = ∛ 6
x₁ = 1.8
For finding the value of x₂ we need to substitute n = 1 as
xₙ ₊ ₁ = ∛ 10 - 2xₙ
x₁ ₊ ₁ = ∛ 10 - 2x₁
x₂ = ∛ 10 - 2(1.8) (∵ x₁ = 1.8)
x₂ = ∛ 10 - 3.6
x₂ = ∛ 6.4
x₂ = 1.85
For finding the value of x₃ we need to substitute n = 2 as
x₂ ₊ ₁ = ∛ 10 - 2xₙ
x₂ ₊ ₁ = ∛ 10 - 2x₂
x₃ = ∛ 10 - 2(1.85) (∵ x₀ = 1.85)
x₃ = ∛ 10 - 3.7
x₃ = ∛ 6.3
x₃ = 1.846
Therefore, the value of x₁ = 1.8, x₂ = 1.85, x₃ = 1.846.
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How many jelly beans are in a 2-liter jar? HELP ME PLEASE
1. The number of sample size 1 jelly beans in a 2-liter jar is 645.
2. The number of sample size 2 jelly beans in a 2-liter jar is 640.
3. The number of sample size 3 jelly beans in a 2-liter jar is 637.
What is a mathematical operation?A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.
Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).
Data and Calculations:Total weight = 1,150g
Weight of the jar = 440g
The total weight of the jelly beans = 710g (1,150 - 440)
Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)
Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)
Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)
Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.
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what is the answer ???
Find all points having a -coordinate of whose
distance from the point is .
The points which are a distance of 13 units from (12,5) are (0,0)and (24,0).
The distance between two point with co-ordinates ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) is calculated by the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
All points on the x-axis have their y-coordinates equal to 0. So let the point (a,0) be a point on the x-axis such that the distance from (12,5) to (a,0) is 13 units.
Let us substitute the values into the distance formula to calculate the values of a so that we can find the two points.
[tex]13=\sqrt{(12-a)^2+(5-0)^2}[/tex]
Squaring both sides we get:
[tex]or,13^2=144-24a+a^2+25\\or,169-144-25-24a+a^2\\or,a^2-24a=0\\or,a(a-24)=0[/tex]
Now either a=0 or (a-24)=0
Therefore either a=0 or a=24.
Therefore the two points (0,0) and (24,0) .
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Helppppppppppppppppppppppppppp
Erin watches the price of an item advertised on the internet. The ad says the price will go down $3 each hour. Erin wants to know how much the
price will change in 6 hours. She writes this number sentence.
(-3) x 6=-18
What does the number sentence mean?
O The price will rise $6 in 18 hours.
O The price will rise $18 in 6 hours.
O The price will drop $6 in 18 hours.
O The price will drop $18 in 6 hours.
Can anyone please help me with #3 ASAP I’ll mark you brainly
What number multiplied by 7/9 as a product of one
Answer:
★ How to do :-
Here, we are given with a fraction in which we are asked to find the second number in which we get it's product when multiplied as one. We aren't given with the appropriate first number but it's written in thr form of multiplication. If we multiply those numbers, we'll get the value of the first number. After finding the first number, we shift thr obtained value from LHS to RHS. We should always remember that while shifting the numbers, the sign of the appropriate number changes. So, let's solve!!
\:
➤ Solution :-
{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times x = 1}⇝3(97)×x=1
First, multiply the numbers on LHS.
{\tt \leadsto \bigg( \dfrac{3}{1} \times \dfrac{7}{9} \bigg) \times x = 1}⇝(13×97)×x=1
First solve the bracket on LHS.
{\tt \leadsto \dfrac{21}{9} \times x = 1}⇝921×x=1
Shift the first fraction from LHS to RHS, changing it's sign.
{\tt \leadsto x = 1 \div \dfrac{21}{9}}⇝x=1÷921
Take the reciprocal of second fraction and multiply both the fractions.
{\tt \leadsto x = \dfrac{1}{1} \times \dfrac{9}{21}}⇝x=11×219
Multiply the fractions now.
{\tt \leadsto x = \dfrac{9}{21}}⇝x=219
\:
{\red{\underline{\boxed{\bf So, \: the \: other \: number \: is \: \dfrac{9}{21}}}}}So,theothernumberis219
\:
Verification :-
{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times x = 1}⇝3(97)×x=1
Substitute the value of x.
{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times \dfrac{9}{21} = 1}⇝3(97)×219=1
Multiply the numbers on LHS in the bracket.
{\tt \leadsto \bigg( \dfrac{7 \times 3}{9 \times 1} \bigg) \times \dfrac{9}{21} = 1}⇝(9×17×3)×219=1
Multiply the numerators and denominators.
{\tt \leadsto \dfrac{21}{9} \times \dfrac{9}{21} = 1}⇝921×219=1
Multiply the numbers on LHS.
{\tt \leadsto \dfrac{21 \times 9}{9 \times 21} = 1}⇝9×2121×9=1
Multiply the numerators and denominators.
{\tt \leadsto \dfrac{189}{189} = 1}⇝189189=1
Write the fraction in lowest form on LHS.
{\tt \leadsto 1 = 1}⇝1=1
So,
{\sf \leadsto LHS = RHS}⇝LHS=RHS
\:
Hence verified !!
1: Find the slope:
Y
-9
X
-1
0
1
2
-3
39 what’s the slope
Answer:
Step-by-step explanation:
83.9
Slopes vs. gradients vs. % grades
Slope
Angle (degrees) Gradient Grade (%)
40 1 83.9
41 1 86.9
42 1 90.0
what percent of 141963.78 is 380.16
Answer:
It is 0.2678 percent .....
What is the measurement of the angle shown below?
Answer:
the answer is 150°
Step-by-step explanation:
because the angle is obtuse angle so obtuse angle measures between 90° and 180° so the rest choices are not correct.
Some one pls help me will give Brainly
Answer:
100 miles from shore
Step-by-step explanation:
locate 10 hours on the x- axis, go vertically up to meet the line at (10, 100 )
so after 10 hours they are 100 miles from shore
Answer:
100
Step-by-step explanation:
x-axis shows time - find where this is 10 hours
y-axis shows distance from shore. Find where this corresponds to 10. That is at 100 miles.
Enter your answer as a proper fraction, or mixed number.
Answer:
3/14
Step-by-step explanation:
Answer:
3/14
Step-by-step explanation:
what is the nth term of 1, 3, 9
Answer:
3ⁿ
Step-by-step explanation:
The nth term is:
3ⁿ
Solve the calculation
Answer:
83° 59'
Step-by-step explanation:
The numbers given refer to degrees and minutes for two angles
We read them as follows
62° 18' ==> 62 degrees and 18 minutes
21° 14' ==> 21 degrees and 41 minutes
60 minutes make up 1 degree
We simply add the individual components together. If the number of minutes is 60 or greater then we have to convert those minutes to degree and minutes and add to the total degrees
In this case it is a simple addition since 18' + 41' = 59' and is less than 60
So 62° 18' + 21° 14'
==> Add the degrees separately ==> 62 + 21 = 83°
==> Add the minutes separately ==> 18' + 41' = 59'
Put the two components together to get
83° 59'