Answer:
60
Step-by-step explanation:
45 divided by 9 is 5. So you multiply 4 times 5. Which equals 20. So 20 plus 45 is 65. Hope you understand it.
what is the slope of the line that passes through the points (2, 5) and (7, 3)?
ANSWER: [tex]\frac{2}{-5}[/tex]
EXPLANATION:
We can use the slope formula and input the x and y values to solve for the slope.
[tex]\text{Slope Formula}: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}=m[/tex]
[tex]\frac{5-3}{2-7}=m\\\text{Simplify.}\\\frac{2}{-5} =m[/tex]
The slope of the line is [tex]\frac{2}{-5}[/tex]
The slope of the line that passes through the points (2, 5) and (7, 3) is -2/5.
Explanation:To find the slope of the line passing through the points (2, 5) and (7, 3), we can use the formula for slope:
The slope of the line that passes through the points (2, 5) and (7, 3) can be calculated using the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
Slope (m) = (3 - 5) / (7 - 2) = -2/5
Therefore, the slope of the line is -2/5.
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N/8 - 3 = -11 What does n equal?
Hey there!
Firstly, [tex]simplify[/tex] both sides of your equation[tex]\frac{1}{8}n+ (-3)[/tex] [tex]=-11[/tex][tex]\frac{1}{8}n -3[/tex][tex]=-11[/tex]Second, [tex]add[/tex] by the number [tex]3[/tex] on each of your sides[tex]\frac{1}{8}n - 3[/tex][tex]+3[/tex]Cancel: [tex]-3 +3[/tex] because it gives you the result of [tex]0[/tex]Keep: [tex]-11+3[/tex] because it has the number we need to solve for the answer[tex]-11 + 3 =[/tex] [tex]-8[/tex][tex]\frac{1}{8}n = -8[/tex]Third, [tex]multiply[/tex] by the number [tex]8[/tex] on each of your sides [tex]8(\frac{1}{8}n)[/tex] [tex]= 8(-8)[/tex]Cancel: [tex]8(\frac{1}{8})[/tex] because it doesn't give you what you're looking forKeep: [tex]8(-8) [/tex] because it gives you your answer[tex]8(-8)= -64[/tex]Answer↓[tex]\boxed{n = -64}[/tex]Good luck on your assignment and enjoy your day! ~[tex]LoveYourselfFirst:)[/tex]What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
A)
Y=3x-5
B)
Y=3x+5
C)
Y=3x-5
D)
Y=3+5
Answer:
y = -3x+5 This has a negative slope
Step-by-step explanation:
The first step is to find the slope. We can use the formula
slope = (y2-y1)/(x2-x1)
= (-10--1)/(5-2)
= (-10+1)/3
= -9/3
=-3
Next we will use the point slope form of the equation of a line
y-y1 = m(x-x1)
y--1 = -3(x-2)
y+1 = -3(x-2)
Distribute the -3
y+1 = -3x -3*(-2)
y+1 = -3x+6
Subtract 1 from each side
y+1-1 = -3x+6-1
y = -3x+5
This is in the slope intercept form of the equation.
My answer differs from the options because I have a negative slope
What are the proofs in proving triangles are congruent?
ANSWER: SSS, SAS, ASA, AAS, or HL
EXPLANATION:
SAS: Three congruent sides on both triangles.
SAS: Two congruent sides and a congruent included angle on both triangles.
ASA: Two congruent angles and a congruent included side on both triangles.
AAS: Two congruent angles and a congruent side on both triangles.
HL: Two right triangles with one congruent leg and congruent hypotenuses.
which of the binomials below is a factor of this trinomial 5x^2-18x+9
Answer:
5x-3 or x-3
Step-by-step explanation:
I don't know what are the choices, so I'll just factor the whole thing. Choose the ones that fit.
-3 + -15 = -18
-3 * -15 = 9*5
5x^2-15x-3x+9
5x(x-3)-3(x-3)
(5x-3)(x-3)
Answer:
5x - 3
Step-by-step explanation:
APEX
On monday,Cathy tead 1/6 if her book, and on tuesday, she read 2/6 of the book. How much has she read?
Answer:
Cathy has read 3/6 or 1/2 of her book.
Step-by-step explanation:
1/6+2/6=3/6 or 1/2
if f(x)=3x-2 and g(x)=f(x)+3, write the equation for g(x)
g(x) = f(x) + 3
Since you know f(x) = 3x - 2, you can plug in (3x - 2) for "f(x)" in the equation:
g(x) = f(x) + 3
g(x) = (3x - 2) + 3
g(x) = 3x - 2 + 3
g(x) = 3x + 1
Last year, Mr. Jones made $30,000. His boss just informed him that he will be receiving at least an 11.2% raise for this year. How much will he make this year?
Answer:
$33 336
Step-by-step explanation:
Increase = 30 000 × 0.112
Increase = $3336
New salary = 30 000 + 3336
New salary = $33 336
plz help me thank u math question
Which of the following expressions is equal to g(x)?
Answer:
D. log (x-2)
Step-by-step explanation:
We can see that in the graph of the function g(x), the graph is shifted toward the right.
We know that, to shift a graph to the right, we subtract that number of units inside the function.
For example if we are plotting a graph of F(x) and if we have to shift the function to the right by 2 units, we can write it as, [tex]F(x-2)[/tex].
Similarly, here the graph of log (x) is shifted 2 units to the right so we can write the function as,
[tex]log (x-2)[/tex] (we subtract inside the function).
Answer:
D. [tex]log(x-2)[/tex]
Step-by-step explanation:
We have been given function's [tex]f(x)=log(x)[/tex] graph and graph of function g(x). We are asked to choose the correct function formula for g(x).
We can see that our parent function f(x) is translated to right to get function g(x).
The rule for translating a function to right by k units is:
[tex]f(x)\rightarrow f(x-k)[/tex]
We can see that our parent function is shifted 2 units to right as our parent function crosses x-axis at x equals 1, while our new function crosses x-axis at x equals 3. So our new function g(x) will be:
[tex]g(x)=log(x-2)[/tex]
Therefore, the expression [tex]log(x-2)[/tex] is equal to g(x) and option D is the correct choice.
Find a cubic function that has the roots 5 and 3-2i
Answer:
[tex]P(x)=x^3-11x^2+43x-65[/tex]
Step-by-step explanation:
If the complex number [tex]3-2i[/tex] is a root of a cubic function, then the complex number [tex]3+2i[/tex] is a root too. Thus, the cubic function has three known roots [tex]5,\ 3-2i,\ 3+2i[/tex] and can be written as
[tex]P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.[/tex]
The cost of belonging to a gym can be modeled by C(m)= 50m + 79.50, where C(m) is the total cost for m months of membership. State the meaning of the slope and y-intercept of this function with respect to the cost associated with the gym membership.
Answer:
The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept. It represents the initial cost to join the gym.
Step-by-step explanation:
C(m)= 50m + 79.50,
This is written in the form y= mx+b where m is the slope and b is the y intercept.
The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept. It represents the initial cost to join the gym.
The slope of the function represents the cost of each additional month of membership, while the y-intercept represents the initial cost of joining the gym.
Explanation:The slope of the function C(m) = 50m + 79.50 represents the cost of each additional month of gym membership. In this case, the slope is 50, meaning that for every additional month of membership, the cost increases by $50.
The y-intercept of the function, which is 79.50, represents the initial cost of joining the gym. This can be considered as the one-time fee or the cost for 0 months of membership.
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Kiara downloaded 264 pictures from her cell phone to her computer. These pictures took up 528 megabytes of space on her computer. Each picture took up the same amount of space. How many megabytes do 35 of these pictures take up?
Hello!
Divide 528 and 264. It will give you 2.
Now, multiply 35 and 2.
Answer: 70
Hope this helps! ~Pooch ♥
I feel like this doesnt have the right information .....
Answer:
60 child tickets were sold
Step-by-step explanation:
Let no of children tickets sold that day be c and adult tickets be a
Then since total number of tickets sold is 148, we have
c+a = 148 ... i
Also given that admission fee is 6.00 for children and 9.70 for adults
So for c children tickets sold value= 6c and for adults it is 9.7a
total revenue = 6c+9.7a=1213.60 ... ii
We got two equations in two variables c and a
Let us solve this
a =148-c. substitute this in ii
6c+9.7(148-c) = 1213.60
Simplify the above to have
222 = 3.7c
Or c = 60
No of child tickets sold = 60
Find an exact value. sine of seventeen pi divided by twelve.
Answer:
4.45058959259........
And it still goes
The exact value of sin(17π/12) is -(√2 + √6)/4.
To find the exact value of sin(17π/12), we need to express 17π/12 as a sum or difference of angles for which we know the sine values. Since 17π/12 is not a standard angle, we'll use the angle addition formula.
17π/12 = (3π/4) + (2π/3)
Now, we'll use the sine addition formula:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
Here, A = 3π/4 and B = 2π/3:
sin(3π/4 + 2π/3) = sin(3π/4)cos(2π/3) + cos(3π/4)sin(2π/3)
Now, we need to find the sine and cosine values of 3π/4 and 2π/3:
sin(3π/4) = √2/2, cos(3π/4) = -√2/2
sin(2π/3) = √3/2, cos(2π/3) = -1/2
Plugging these values into the formula:
sin(17π/12) = (√2/2 * -1/2) + (-√2/2 * √3/2)
= -√2/4 - √6/4
= -(√2 + √6)/4
So, the exact value of sin(17π/12) is -(√2 + √6)/4.
Find the product of 83 and 3.
Hello!
Answer:
249
Step-by-step explanation:
83
3 x
___
249
Hope this helps! ~Pooch ♥
One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $20 for covered pavilion seats and $15 for lawn seats. Total receipts were $24,000. How many tickets of each type were sold?
To determine how many tickets of each type were sold, two equations were formulated and the system was solved using the elimination method, resulting in 600 covered pavilion seats and 800 lawn seats sold.
To solve this problem we need to set up a system of equations based on the information provided. Let's define two variables: x for the number of covered pavilion seats sold, and y for the number of lawn seats sold. We know that together, a total of 1400 tickets were sold and the total receipts from these sales were $24,000. We can set up the following equations:
1) x + y = 1400 (total number of tickets sold)
2) 20x + 15y = 24,000 (total revenue from ticket sales)
To solve the system of equations, you can use either substitution or elimination method. Let's use the elimination method by multiplying the first equation by -15 and adding it to the second equation to eliminate y.
-15x - 15y = -21,000
20x + 15y = 24,000
Add the two equations:
5x = 3,000
Divide both sides by 5:
x = 600
Now we can substitute x back into the first equation to solve for y:
600 + y = 1400
y = 800
Therefore, 600 covered pavilion seats and 800 lawn seats were sold.
you roll a fair six-sided die twice. what is the probabilty of rolling an even number then rolling an odd number?
Answer:
Probability of rolling an even number then rolling an odd number = 1/4
Step-by-step explanation:
When we roll a fair six-sided die twice,
The pair of combinations are
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(5,1),(6,2),(6,3),(6,4),(6,5),(6,6)
There are 36 possibilities
The odd numbers are 1,3 and 5
even numbers are 2,4 and 6
Possibilities of rolling an even number then rolling an odd number
(2,1),(2,3),(25)
(4,1),(4,3),(4,5)
(6,1),(6,3),(6,5)
There are 9 possibilities
Probability of rolling an even number then rolling an odd number = 9/36 = 1/4
What is 36 divided by 1/4
Answer:
144
Step-by-step explanation:
36 ÷ 1/4
We will use copy dot flip
36 * 4
144
Apply the Pythagorean Theorem to find the distance between points A and B.
A)
11
units
B)
50
units
C)
61
units
D)
72
units
Answer:
c 61 units but it should be under a square root
Step-by-step explanation:
CA=6
CB=5
5^2+6^2=AB^2
61=AB^2
The Option C is partially correct , the answer must be under a square root as [tex]\;\sqrt {61} {\text{ units}}[/tex].
Further explanation:
The pythagorean theorem is used in the right angle triangle and it states that the square of the hypotenuse is equal to the sum of the squares of the perpendicular and base.
It can be mathematically expressed as,
[tex]{h^2} = {p^2} + {b^2}[/tex]
Here, [tex]h[/tex] is the hypotenuse, [tex]p[/tex] is the perpendicular and [tex]b[/tex] is the base.
Step by step explanation:
Step 1:
It is observed from given figure that after joining the points [tex]A,B{\text{ and C}}[/tex] it is established as right angle triangle.
First determine the perpendicular and the base of the triangle.
It can be seen that there are 5 boxes between the point [tex]A{\text{ and }}C[/tex] and 6 boxes between the point [tex]{\text{B and C}}[/tex].
Therefore, the perpendicular of the triangle [tex]AC[/tex] is [tex]{\text{6 units}}[/tex] and the perpendicular of the triangle [tex]AB[/tex] is .
Step 2:
Now use the Pythagoras theorem to find the distance between [tex]B{\text{ and }}A[/tex].
The distance between [tex]B{\text{ and }}A[/tex] is the length of the hypotenuse of the triangle [tex]ABC[/tex].
The length of the hypotenuse [tex]AB[/tex] can be calculated as,
[tex]\begin{aligned}{h^2}&= {p^2} + {b^2}\\{h^2} &= {6^2} + {5^2}\\{h^2} &= 61\\h &= \sqrt {61}\\\end{aligned}[/tex]
Therefore, the distance between [tex]B{\text{ and }}C[/tex] is [tex]\sqrt {61}[/tex] units.
Thus, option C is partially correct , the answer must be under a square root as [tex]\sqrt {61}[/tex] units.
Learn more:
Learn more about the distance between two points on the number linehttps://brainly.com/question/6278187 Learn more about the distance between two coordinates of the linehttps://brainly.com/question/10135690 Learn more about midpoint of the segment https://brainly.com/question/3269852Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Pythagoras theorem.
Keywords: Distance, Pythagoras theorem, points, base, perpendicular, hypotenuse, right angle triangle, boxes, units, squares, sum
Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
Answer:
[tex]2.6334 \cdot 10^{-5}[/tex]
Step-by-step explanation:
[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]
To multiply it , first we multiply the numbers.
46.2 times 5.7 is 263.34
Now we multiply the exponents. To multiply exponents we apply exponential property.
[tex]a^m \cdot a^n= a^{m+n}[/tex]
When the exponents with same base are in multiplication then we add the exponents
[tex]10^{-1} \cdot 10^{-6}=10^{-7}[/tex]
[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]
[tex]263.34 \cdot 10^{-7}[/tex]
Now we write it in scientific notation. Move the decimal point after the first number. So we move decimal point 2 places to the left
[tex]2.6334 \cdot 10^2 \cdot 10^{-7}[/tex]
[tex]2.6334 \cdot 10^{-5}[/tex]
The wholesale price of a lamp is $44 and will be marked up by 40 percent. What is the retail price of the lamp?
Answer:
61.60
Step-by-step explanation:
Answer:
The answer is $61.60
Step-by-step explanation
The wholesale price is 44$, but it will be marked up 40% which in decimal form is .40. You multiply that by 44 to get 17.6, and since its mark up you add that number to 44 to get $61.6
In a rectangle, the ratio of the length to the width is 5 : 2. The length of the rectangle is 13.875 feet greater than the width. What are the perimeter and the area of the rectangle?
The width of the rectangle is 5.55 ft and the length is 19.425 ft. The perimeter of the rectangle is 25.95 ft and the area is 107.95875 sq ft.
Explanation:To find the width of the rectangle, we can set up the equation
5/2 = 13.875 / width
Solving for width gives us width = 5.55 ft. Therefore, the length of the rectangle is 13.875 + 5.55 = 19.425 ft.
The perimeter of a rectangle is given by the formula 2(length + width). Substituting the given values, we get the perimeter to be 2(19.425 + 5.55) = 25.95 ft.
The area of the rectangle is given by the formula length * width. Substituting the given values, we get the area to be 19.425 * 5.55 = 107.95875 square feet.
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Kwan said that the product of 56 × 213 is 103. How can you tell that his answer is wrong?
Answer:
_______________________________________________________
Note that this multiplication problem has two (2) multiplicands; that is, two (2) numbers being multiplied by each other; which are: "56" and "213"
The "product" refers to the number obtained when multiplicands in a multiplication problem are multiplied together.
In this case, the product given is: " 103 " ; which is smaller than one of the "multiplicands" in the problem — specifically, "213" !
This does not make sense; and this along tells us that the answer — "213" ; is incorrect.
________________________________________________
Furthermore, if we multiply the two (2) given multiplicands:
56 * 213 ; we get: " 11,928 " ; which is much greater than: " 103 " .
________________________________________________
Hope this answer is of help to you!
Best wishes in your academic endeavors
— and within the "Brainly" community!
________________________________________________
Nolan made lanps to sell at the school art show. He made 9 lamps each week for 4 weeks. How many lamps did Nolan make?
Answer: The answer would be 36
Step-by-step explanation:
9×4=36
PLEASE I NEED HELP FAST Ben used vector DE to translate triangle ABC. Ben made an error in his work. What is Ben’s error? If Ben had completed the translation properly, what would be the correct coordinates for each vertex (A’, B’, and C’) for the image?
Answer:
He translated them the wrong way.
It should of gone up 2 and right 2 not down 2 and left 2.
The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)
Please mark brainliest would rly help.
Step-by-step explanation:
The cost of toner cartridges is 19.50 more than the cost of an ink cartridge. Colleen ordered 11 ink and 4 toner cartridges and thw total cost 460.50. Write and solve a system of equations to fons the cost of each cartridge.
Answer:
Toner = $45.00; ink = $25.50
Step-by-step explanation:
Let T = the cost of a toner cartridge and I = the cost of an ink cartridge
We have two conditions:
(1) T = I + 19.50
(2) 4T + 11I = 460.50 Substitute (1) into (2)
4(I + 19.50) + 11I = 460.50 Remove parentheses
4I + 78.00 + 11I = 460.50 Combine like terms
15 I + 78.00 = 460.50 Subtract 78.00 from each side
15I = 382.50 Divide each side by 15
(3) I = 25.50
=====
Substitute (3) into (1)
T = 25.50 + 19.50
T = 45.00
=====
Check:
(1) 45.00 = 25.50 + 19.50
45.00 = 45.00
(2) 4×45.00 + 11×25.50 = 460.50
180.00 + 280.50 = 460.50
460.50 = 460.50
the ordered pairs (1,6),(2,12),(3,18),(4,24) and (5,30) represent a function. what is a rule that represents this function?
y=6x
y=(x+6)^2
y=x^6
y=6x
Which of the following would be appropriate to measure in centimeters
Question:
what are your choices?
A construction worker is building a wall. The wall is 17.5 yds long. He needs to place a stud every 15 inches. The first stud has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall? First fill in the blanks on the left side using the ratios shown. Then write your answer.
The correct answers are:
Box-1: [tex]\frac{3\thinspace ft}{1\thinspace yd}[/tex]
Box-2: [tex]\frac{12\thinspace \thinspace in}{1\thinspace ft}[/tex]
Box-3: [tex]\frac{1\thinspace stud}{15\thinspace in}[/tex]
Box-4: 42 studs
Explanation:
Given:
Wall is 17.5 yds long.
In 1 yard, there are 3 feet.
Therefore,
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}[/tex]
In Box-1, you should put [tex]\frac{3\thinspace ft}{1\thinspace yd}[/tex].
In 1 foot, there are 12 inches.
Therefore,
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}[/tex]
In Box-2, you should put [tex]\frac{12\thinspace \thinspace in}{1\thinspace ft}[/tex].
He needs to place 1 stud every 15 inches.
Therefore,
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}*\frac{1\thinspace stud}{15\thinspace in}[/tex]
In Box-3, you should put [tex]\frac{1\thinspace stud}{15\thinspace in}[/tex].
Now multiple all the numbers, you will get the number of studs.
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}*\frac{1\thinspace stud}{15\thinspace in} = 42\thinspace studs[/tex]
In Box-4, write 42 studs.
-i
To calculate the number of additional studs needed, convert the length of the wall to inches and divide by the interval between each stud. Subtract 1 from the total number of intervals to find the number of additional studs needed.
To determine the number of additional studs needed, we need to calculate the number of intervals between studs. First, we need to convert the length of the wall to inches, which is 17.5 yds * 3 ft/yd * 12 in/ft = 630 inches. Next, we divide the length of the wall by the interval between each stud, 630 inches / 15 inches = 42 intervals. Since the first stud has already been placed, we subtract 1 from the total number of intervals to find the number of additional studs needed: 42 - 1 = 41 additional studs.
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in the figure L1 L2 and L3 is a traversal what is the value of q-p
Answer:
q=135 degrees
p=45 degrees
Step-by-step explanation:
For q:
q is 135 degrees because alternate exterior angles are congruent when L1 is parallel to L2 intersected by L3.
For p:
p is 45 degrees because L2 is a straight line so it has a measurement of 180 degrees. So to find p you do 180 degrees-q.
Which is 180-135=45 degrees