Step-by-step explanation:
Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.
It means,
x+x+1+x+2=114
3x+3=114
3(x+1)=114
x+1=38
x=37
So, first side is 37 cm
Second side is 37+1=38 m
Third side is 37+2=39 m
Hence, this is the required solution.
Nick walked 3/4of a mie in 12
minutes. How long would it take
him to walk three mies at this
pace?
Answer:48
Step-by-step explanation:
A truck driver travels at an average speed of 65 miles per hour on a 200-mile trip to pick up a load of freight. On the return trip (with the truck fully loaded), the average speed is 45 miles per hour. What is the average speed for the round trip? (Round your answer to one decimal place.)
Answer:
53.2 mph
Step-by-step explanation:
A truck driver travels at an average speed of 65 miles per hour on a 200 miles trip to collect a load of freight
On the return trip the average speed is 45 miles per hour
Average speed= total distance/total time
The first step is to calculate the total time
Time spent when going on the trip(t1) can be calculated as follows
200 = 65 × t1
t1= 200/65
t1= 3.0769 hrs
The time spent when returning from the trip can be calculated as follows
200 = 45 × t2
t2= 200/45
t2= 4.44 hrs
Total time = 3.0769 hrs + 4.44hrs
= 7.521 hrs
The total distance can be calculated as follows
= 2×200
= 400
Therefore the average speed for the round trip can be calculated as follows
= 400/7.521
= 53.2 mph
Hence the average speed for the round trip is 53.2 mph
Find the value of x in the triangle shown below.
x=
Answer:
x = 61°
Step-by-step explanation:
From the image, we can see that we have an isosceles triangle.
We know that the other 2 angles will be equivalent to each other.
We also know that the sum of angles in a triangle adds up to 180°.
Step 1: Set up equation
58 + x + x = 180
Step 2: Solve
58 + 2x = 180
2x = 122
x = 61°
Does anyone know the answer
Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost
Answer:
The cost of 1 gallon is $2.5
Step-by-step explanation:
Given
Cost of 14 gallons = $35
Required
Determine the cost of 1 gallon
From the given parameters, we have:
[tex]14\ gallons = \$35[/tex]
Divide both sides by 14
[tex]\frac{14\ gallons}{14} = \frac{\$35}{14}[/tex]
[tex]1\ gallon = \frac{\$35}{14}[/tex]
[tex]1\ gallon = \$2.5[/tex]
Hence,
The cost of 1 gallon is $2.5
Use the drop-downs to identify the domain and range of the following relation.
{(4, -7), (0, 6), (5,-3), (5, 2)}
What is the domain of this relation?
What is the range of this relation?
Answer:
Domain ( -4,0, 5) Range ( -7, -3, 2, 6)
Step-by-step explanation:
The domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Given,
{(4, -7), (0, 6), (5,-3), (5, 2)}
We need to find what is the domain and range of this relation.
What are the domain and range of a function?A function has an input and an output.
Example: f(x) = x + 4
Now,
x = 1, 2, 3
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
Here,
Domain = 1, 2, 3
Range = f(1), f(2), f(3) = 5, 6, 7
We can also write it as { (1,5), (2,6), (3,7)}
Find the relation.
(4, -7)
Here,
domain = 4 and range = -7
(0, 6)
domain = 0 and range = 6
(5,-3)
domain = 5 and range = -3
(5, 2)
domain = 5 and range = 2
Find the domain and range of {(4, -7), (0, 6), (5,-3), (5, 2)}.
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Thus the domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Learn more about the domain and range of a function here:
https://brainly.com/question/28135761
#SPJ2
Solve for x. 2(-5x-10)=-60
Answer:
x=4
Step-by-step explanation:
Is j+j+j+j and j with the power of four equivalent
Answer:
The joule (/ dʒ aʊ l, dʒ uː l / jawl, jool; symbol: J) is a derived unit of energy in the International System of Units. It is equal to the energy transferred to (or work done on) an object when a force of one newton acts on that object in the direction of the force's motion through a distance of one metre (1 newton metre or N⋅m). It is also the energy dissipated as heat when an electric ...
Step-by-step explanation:
Answer:
bro i dont get this but i bet the guy in top of me it is right in deed
Step-by-step explanation:
What is the value of (3 x 10-2)?
Answer:
28
Step-by-step explanation:
3x10-2
Because of order of ops, you multiply first
30-2
Finally, you subtract
28
Answer:
[tex]\frac{3}{100}[/tex] = 0.03
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
Given
3 × [tex]10^{-2}[/tex]
= 3 × [tex]\frac{1}{10^{2} }[/tex]
= 3 × [tex]\frac{1}{100}[/tex]
= [tex]\frac{3}{100}[/tex] = 0.03
3/5 + -1/3 =
help qwq
Answer:
the answer is
3/5-1/3=4/15
what type of transformation does shape A undergo to form shape B?
A. a reflection across the x-axis
B. a translation 3 units right and 1 unit down
C. a 90° counter clockwise rotation
D. a 90° clockwise rotation
a 90° clockwise rotation
Answer:it’s A 90 clockwise rotation
Step-by-step explanation:
ya+yv=t What is the solution for y
Answer:
y = [tex]\frac{t}{a+v}[/tex]
Step-by-step explanation:
Given
ya + yv = t ← factor out y from each term on the left side
y(a + v) = t ( divide both sides by a + v )
y = [tex]\frac{t}{a+v}[/tex]
Answer: y = yah
Step-by-step explanation:
Find the distance between the points.
(6,11) and (6,5)
1. A cosmetologist must double his/her salary before the employer con realize any profit from
his/her work,
Miss, Mead paid Miss, Adams $125,00 per week to start. The first week Miss, Adams' services
amounted to $162.00. How much did Miss, Meod lose on the first week's work of Miss, Adams
a, 384.00 b.$63.00 c. $28.00 d. $75.00
Answer:
Miss Meod lost $88 from Adams' first week of services.
Step-by-step explanation:
Assuming the first sentence stand
As Adams received $125 of wages the break-point is at $250 dollars
which is double of Adams' wage. Below this point the employe cannot realize a gain.
The services performed were $162 we subtract the break even point:
162 - 250 = -88
Durign the first week Miss Adams services generate a variable loss for $88
raina wants to save $900 to buy TV she save $17 each week the amount A (in dollars) that she still needs after W weeks is given by the following function
Answer:
a 19
b 798 dollars
Step-by-step explanation:
a you just plug in a random nuber in
b all you have to do is plug 6 for x
900-17(6)=798
(GIVING BRANLIEST) What is 18x+2x?
Steps to solve:
18x + 2x
~Combine like terms
20x
Best of Luck!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{20x}}}}}[/tex]
Step-by-step explanation:
For the addition and subtraction of expression, like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another term in which it's coefficient is sum or difference of their coefficient.
Let's solve
[tex] \sf{18x + 2x}[/tex]
Collect like terms. Add : 18x and 2x
[tex] \dashrightarrow{ \sf{20x}}[/tex]
Hope I helped!
Best regards! :D
how do you find the slope and the y-intercept of y=6x-12
Answer:
Slope = 6, y-intercept = -12.
Step-by-step explanation:
Slope is the coefficient of the x-term, which is 6 in this case.
The y intercept is the constant term that comes after the x-term, which is -12.
Haley has 16 waking hours each day to divide between working and relaxing. She currently has a job working at Chipotle, where she earns $10 per hour. For Haley, the opportunity cost of spending 1 hour of relaxing
Answer:10
Step-by-step explanation:
I would say 10 because she is sacrificing that 1 hour of pay
Find the area of a right triangle with a base length of 30 units and a height of 24 units
Answer:
360
Step-by-step explanation:
Area= 1/2 ( 30)(24)
Area = 360
f(x)=2x-5 find the inverse
Answer:
1/2x+5/2
Step-by-step explanation:
1. Change f(x) to y
y = 2x – 5
2. Switch x and y.
x = 2y – 5
3. Solve for y by adding 5 to each side and then dividing each
side by 2.
x+5=2y
4. Change y back to f^-1(x)... in other words the inverse
f^-1(x)=(x+5)/2
= 1/2x+5/2
Step-by-step explanation:
y=f-1(x)=1/2(x+5)
explanation: write y equals 2x - 5 and now interchange X and Y it becomes x equals 2y - 5
now solve for y equals F -1 (x) equals 1/2(x + 5)
g(x)= (x + 5) / (2)
is the inverse function of F (x)= 2x - 5
pLEASE HELP ME I DONT UNderstande this at all
Answer:
Use this trick. PEMDAS.
P- parenthises. if there is something in the parenthises, you know you need to start with that first. Do the equatoin in the () parenthisis.
E- Exponents. If there is exponents in your equation, make sure you do them afteryou have done the steps in the parenthesis.
M- Multiply. Always multiply left to right. Always multiply after you have done the first two steps.
D- Divide. Divide the numbers left to right. Very simular to the multiplication.
A- Add. Always add left to right.
S- Subtract. Always subtract left to right.
------
Always do these steps in this order. If there is no addition, skip to subtraction.
Answer:
it's all about Order of Operations (lots of caveats here)
Step-by-step explanation:
These are exercises in the use of the Order of Operations.
The Order of Operations is a set of rules for how to evaluate an arithmetic expression. It tells you which operations to perform first, so that expressions like 1+2×3 are properly evaluated to 1+6 = 7, rather than incorrectly to 3×3 = 9, for example.
(Please be aware that some calculators do this incorrectly.)
__
In most cases involving numerical expressions, such as the ones shown, the rules are summarized by the mnemonics BEDMAS or BIDMAS or PEMDAS. The first two are more often used where British English is spoken. The meaning of these mnemonics is as follows:
B/P -- "brackets" or "parentheses". Expressions inside parentheses are evaluated first. Innermost parentheses are evaluated before enclosing parentheses. Your first expression shows an example of this:
4 ÷2 +5(10 -6)
has the expression (10 -6) evaluated first. The result is then the expression ...
4÷2 + 5×4
Note that in your last expression, the fraction bar effectively serves as parentheses for both the numerator and denominator. If this were written in plain text, it would be written as ...
(2^3 -5)/(15 +9)
__
E/I -- "exponents" or "indices". Anything with an exponent (index) is evaluated after parentheses are eliminated. Your second expression is an example of this:
(2+3)² first has the parentheses removed so you have
5²
Then the exponent is evaluated. Of course the exponent, or index, tells you how many times 5 is a factor in the product:
5·5 = 25
As with fraction bars, the typography of a typeset expression can imply grouping (parentheses). If the expression ...
[tex]2^{x+5}[/tex]
were written in plain text, it would have to be written with parentheses around the exponent:
2^(x+5)
__
D/M and M/D -- "division" and "multiplication". Here is where confusion may arise. Multiplication and division have the same priority, so are evaluated in the order they are found, left to right. The sequence of letters D or M in the mnemonic does not mean that one is performed before the other. Your first expression is an example of this:
4÷2 + 5×4 = 2 + 5×4 = 2 + 20
Here, the division happens to be first, so it is evaluated first. The multiplication is then evaluated second, because it appears to the right of the division.
__
AS -- "addition" and "subtraction". Again, confusion sometimes arises because the A appears before the S in the mnemonic. The operations of addition and subtraction have the same priority, so are evaluated in the order they are found, left to right.
_____
These are the rules. They can be modified somewhat by the properties of multiplication and addition when you actually perform the math.
For example, the expression 2×3×5 evaluated according to the rules would be = 6×5 = 30. However, we know that multiplication has associative and commutative properties, so we could evaluate this as 2×5×3 = 10×3 = 30. Similarly, we know that multiplication and division are inverse operations, so division by 2 is the same as multiplication by (1/2). Then we could evaluate ...
4÷2 = 4×0.5 = 2
This knowledge can let us rearrange an expression such as ...
5÷2×6 = 5×(1/2)×6 = 6×(1/2)×5 = 3×5 = 15
While this is a correct evaluation of the expression, you need to be careful. If your work is supposed to show an understanding of Order of Operations, you may be required to show your work as 5÷2×6 = 2.5×6 = 15.
_____
Additional comment on plain-text expressions
When in doubt, add parentheses around anything you want to consider to be a unit: numerators, denominators, exponents, fractions. Here's an example where grouping can be troublesome:
[tex]\boxed{9-3\div\dfrac{1}{3}+1} = 9-3\times3+1=9-9+1=0+1=1[/tex]
(division by 1/3 is the same as multiplication by 3/1)
When written in plain text, this is often written as ...
9 - 3 ÷ 1/3 + 1
which must be evaluated as ...
9 - 3/3 +1 = 9 -1 +1 = 9 . . . . . . the division 3÷1 is performed first
The key here is that 1/3 is intended to be treated as a fraction, so it needs to be in parentheses in plain text:
9 - 3 ÷ (1/3) + 1
This last example also shows that the order of operations treats ÷ and / and "over" and "divided by" as meaning the exact same thing: whatever is on the immediate left is divided by whatever is on the immediate right.* If that "whatever" is intended to be more than a single number or variable, it must be in parentheses.
__
* Yet another caveat: some authors consider "/" to always be a fraction bar, and ÷ to have the more conventional interpretation. Some authors consider ÷ to mean (everything to the left) divided by (everything to the right). The reason for the Order of Operations is to specify a standard interpretation of these symbols and their use.
What is the value of |-7 |?
Answer:
7
Step-by-step explanation:
2. Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?
Answer:
you find the gcf/ greatest common factor of both numbers which is 6, so 6 plastic containers
Step-by-step explanation:
Given f(x) = 4x - 3 and g(x) = 7x +5, find f(x) + g(x).
Answer:
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o f )(x).
(g o f )(x) = g( f(x))
= g(2x + 3)
= –( )2 + 5 ... setting up to insert the input
= –(2x + 3)2 + 5
= –(4x2 + 12x + 9) + 5
= –4x2 – 12x – 9 + 5
= –4x2 – 12x – 4
Step-by-step explanation:
Answer:
11x +2Step-by-step explanation:
[tex]f(x) = 4x - 3 \\g(x) = 7x +5\\\\f(x)+g(x) = \\\\4x-3 +(7x +5)\\\\=4x-3+7x+5\\\\=4x+7x-3+5\\\\=11x-3+5\\\\=11x+2[/tex]
please show work and how
Answer:
He can buy up to 20 tickets (ie 20 tickets or less)
The equation is 10+3.25x+5 = 80
========================================================
Explanation:
10 = admission cost
3.25 = cost per ticket
x = number of tickets
3.25x = cost from buying x number of tickets
5 = cost of nachos & coke
10+3.25x+5 = total cost of admission, tickets, and food/drink
10+3.25x+5 = 80 since this is the amount he has in his pocket
---------------
Let's solve for x
10+3.25x+5 = 80
3.25x+15 = 80
3.25x = 80-15 .... subtract 15 from both sides
3.25x = 65
x = 65/3.25 ........ divide both sides by 3.25
x = 20
Billy can buy up to 20 tickets (ie 20 tickets or less).
please help!!!! D:
(word problem grade 7-8)
Answer:
1
Step-by-step explanation:
To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.
Please help it’s due tomorrow and I really don’t want to fail please
If the triangles are similar, that means their side to side ratios will be the same.
For example, we are given the side lengths 6 and 9 to corresponding sides.
Meaning that the side to side ratios are 6:9, or 2:3.
Using this, we can find the missing side length value.
58:x = 2:3
[tex]\frac{58}{x}=\frac{2}{3}[/tex]
[tex]2x=174[/tex]
[tex]x=87[/tex]
The missing side length is 87.
Hope this helps.
頑張って!
If you are buying at item at a store for a price of $19, and there is a
5.6% tax added on top, what would be the total amount due at the
register, to the nearest cent?
Answer:
20.05 or 20.06
Step-by-step explanation:
19 x .056
1.064 = 1.06 or 1.05
hugo received $100 for his bithday. He then saved $20 per week until he had a total of $460 to buy a printer. Use the equation to show how many weeks it took him to save the money.
Answer:
18 weeks
Step-by-step explanation:
So, Hugo received $100 for his birthday.
He saved $20 per week. Let x denote the weeks that passed. Therefore:
[tex]y=100+20x[/tex]
This equation represents the total money y Hugo has after x weeks.
The printer cost $460. Thus, set y to $460:
[tex]460=100+20x[/tex]
Solve for x.
Subtract 100 from both sides:
[tex]360=20x[/tex]
Divide both sides by 20:
[tex]x=18[/tex]
Therefore, it took Hugo 18 weeks to save up $460.
Find the midpoint of the segment with the following endpoints.
(4,2) and (7,6)
Answer:
The answer is
[tex]( \frac{11}{2} \: , \: 4)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,2) and (7,6)
The midpoint is
[tex]M = ( \frac{4 + 7}{2} \: , \: \frac{2 + 6}{2} ) \\ = ( \frac{11}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
[tex]( \frac{11}{2} \: , \: 4)[/tex]
Hope this helps you