Answer:
x=6
Step-by-step explanation:
4x+5=6x-7
4x-6x=-7-5
-2x=-12
x=-12/-2
x=6
Answer: x=6
Isolate the variable by dividing each side by the factors that don't contain variables
Matt filled his pail with 16 kg of sand, but found that it was too heavy to carry. He scooped out 7 kg of the sand. What is the mass of the sand in the pall now?
9 g
9001
9 kg
9g
Answer:
9kg
Step-by-step explanation:
..................
Answer:
9kg
Step-by-step explanation:
16k-7kg=9kg
To rent a midsize car for one day, Speedy charges a flat rate of $41 plus an additional fee of $0.10 per mile driven. Write an equation that relates the total cost of the car rental for one day as a function of the number of miles driven .
Answer:
C(m) = 41(flat rate) + .10m(rate per mile)
Step-by-step explanation:
you plan to run 2 miles but only make it 3/4 of the way how many miles did you run in total
Answer:
Step-by-step explanation:
In triangle ABC, the measure of angle B is 13 more than the measure of angle A, and the measure of angle C is 9 less than twice the measure of angle A. Find the measure of each anglethe function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?
g(x)= 9 cos (x - 2pi/ 3) -1
g(x)= 9 cos (x - 2pi/3) +7
g(x)= 9 cos (x - pi/3) +7
g(x)= 9 cos (x - pi/3) -1
Answer:
g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7
Step-by-step explanation:
What is given is f(x) = g cos (x - pi/2) + 3
Note that the standard form of cosine function is a cos (bx + c) + d
a= amplitude
-c/b = phase shift
d = vertical shift
After moving pi/6 to the left --
x = pi/2 - pi/6 = pi/3
once moving pi/6 left, it is at pi/3
moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.
So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7
The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
The function is given as:
[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]
The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.
The rule of this translation is:
[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]
So, we have:
[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]
Take LCM
[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]
[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]
Divide 2 by 6
[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]
Next, we translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
Rena is building a 1 : 180 scale model of a real castle. Her model has a rectangular base that is 333 feet wide and 444 feet long.
What is the area of the base of the actual castle in square feet?
Answer:
26,613,360 ft^2
Step-by-step explanation:
333 feet wide and 444 feet long
333 ft x 444 ft
147,852 ft^2
147,852 = the 1 in the 1:180 ratio, so...
147,852 x 180 = 26,613,360 ft^2
Math math math :D
Please help me!
Answer:
£4.48
Step-by-step explanation:
Evaluate7r -
3
when r=2.5 andq=12.
+6)
A. 3.5
B. 4.5
C. 5.5
D. 7.5
Answer:
14.5
Step-by-step explanation:
Someone please help me with this
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10
seconds after you see the lightning, you are about 2 miles from the lightning.
a. Write a direct variation equation for the relationship between time and distance.
b. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.
Answer:
[tex]a.\ D=\dfrac{1}{5}t[/tex]
b. 20 seconds
Step-by-step explanation:
Let [tex]D[/tex] be the distance in miles and
[tex]t[/tex] be the time in seconds and
[tex]s[/tex] be the speed in miles/sec
Formula for Distance is given as:
[tex]Distance = Speed \times Time\\OR\\D=st[/tex]
Given that:
Distance = 2 miles and
Time = 10 seconds
Putting the values in formula:
[tex]2=s\times 10\\\Rightarrow s =\dfrac{1}{5} \ miles/sec[/tex]
Answer a:
Putting the value of [tex]s[/tex] back in the formula to find the direct variation equation for the relationship between time and distance:
[tex]D=\dfrac{1}{5}t[/tex]
Answer b:
Using the above formula and putting [tex]D=4\ miles[/tex]:
[tex]4=\dfrac{1}{5}t\\\Rightarrow t =\bold{20\ seconds}[/tex]
At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?
x – 0.3 = 4.9 and x – 0.3 = –4.9
x + 0.3 = 4.9 and x + 0.3 = –4.9
x + 4.9 = 0.3 and x + 4.9 = –0.3
x – 4.9 = 0.3 and x – 4.9 = –0.3
Please Help <3
Answer:
x – 4.9 = 0.3 and x – 4.9 = –0.3
Answer:
d
Step-by-step explanation:
whats the answer to number 1 please and thank you? please write down the steps too
Answer:87
Step-by-step explanation:
43+x+15=3x
58+x=3x
58=2x
x=29
Name an angle that is supplementary to ABC
Can someone help me with this question
hi! here is your answer
Answer:
It is SAS congruence criterion
hope it helps you!!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
SAS
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
(( AR )) Side = (( ER )) Side
(( ARK )) Angle = (( ERN )) Angle
(( KR )) Side = (( NR )) Side
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
1 point
Officer Cooter spent half of the money in his wallet going to the movies. After the movies, he found 6 dollars in the dryer while doing his laundry
and put it in his wallet. How much money did he start with in his wallet if he ended with 16 dollars?
Choose the equation from the following list and solve.
16 = 2 + 6
16 = -6
16 = +6
16 = 2r - 6
Officer Cooter started with $ type your answer...
in his wallet
Answer:
34
Step-by-step explanation:
can you tell me how you get your answer
Answer:
The answer to this is: You click answer and then you just answer what the person asks and can i have brainliest?? please
Step-by-step explanation:
Answer:
For math I use my calculater :)
step-by-step explanation:
Which equation represents a line which is parallel to the line y-7x= -2
Answer:
7x-y = 2
Step-by-step explanation:
i think it is right I"m not very sure
What are the steps in solving word problems involving multiplication of simple
fractions with other operations?
Answer:
See explanation
Step-by-step explanation:
For every question that comes your way, the first step is to understand the question.
The next, is to convert the word problems into algebraic expressions.
Lastly, you solve the expression accordingly.
Take for instance.
Ade has half a dozen eggs. How many dozen does Ade have?
We understand that; half means ½ and a dozen means 12.
So, the expression is
½ * 12 = 6 eggs
Evaluate the expression.
[tex]-82^{2}[/tex]=
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] - {82}^{2} = - (80 + 2)(80 + 2) = \\ [/tex]
[tex] - ( \: (6400) + (160 \times 2) +( 4) \: ) = \\ [/tex]
[tex] - (6400 + 320 + 4) = - (6724) = - 6724 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] ({ - 82})^{2} = {82}^{2} = + 6724 [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Simplify the following expression
- 4p - (1 - 6p)
Answer:
2p-1
Step-by-step explanation:
Answer:
-2p - 1
Step-by-step explanation:
-4p - (1 - 6p)
-4p - 1 + 6p
-4p + 6p - 1
-2p - 1
Please let me know if I'm wrong!
Help please all of yu smart mathematics
Answer: take the picture again and i well help you am here to help its burred
Step-by-step explanation:
Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?
A.
3 5/6 yards
B.
3 3/4 yards
C.
2 3/8 yards
D.
1 1/6 yards
Answer:
A. 3 5/6 yards
Step-by-step explanation:
..........
Kaelyn has 14 coins that have a value of $1.20 she only has dimes and nickels how many nickels does kaelyn have ?
Help please :<
I don't get this that well
Answer:
1. Combining like terms
2. Distributive property
3. Subtraction (both sides)
4. Addition(both sides)
5. Division
Step-by-step explanation:
Patrice earns $10 per hour.
Last week, she worked 9
hours on Monday, 3 hours
on Tuesday, and 8 hours on
Wednesday She had
Thursday off, and then she
worked 6 hours on Friday.
How much money
did
Patrice earn in all last week?
Answer:
She earned 260 dollars
Step-by-step explanation:
If you multiply 9 by 10 you get 90 then do the same to the rest of the numbers then add them you get your answer.
What are the solutions of x^2-2x+5=0? A. X=2i or x=-2i. B. X=1+2i or x=1-2i. C. X=2+i or x=2-i. D. X=2+2i or x=2-2i
Answer:
B. x=1+2i or x=1-2i.
Step-by-step explanation:
The equation is given as;
x²-2x+5=0
complete the square method to find value of x as;
x²-2x = -5
x²-2x + 1 = -5 + 1
x²-2x +1 =-4
( x-1 )² = -4
x-1 = ±√-4 ---------where √-1 = i
x-1 =± 2i
So;
x-1 = + 2i
x= 1+2i
or
x= 1-2i
x= 1-2i
3x 45 help Pleasssssse
Answer:135
Step-by-step explanation:45+45=90 90+45=135
2. 12 more than 5 times c
Answer:
5c + 2.12
Step-by-step explanation:
5 × c = 5c2.12 more than 5 × c = 5c + 2.12I hope this helps!
The sum of four consecutive integers is 298. What is the largest integer?
Answer:
largest number =76
Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76
PLEASE SOLVE THIS i really need help
Answer:
Oh jeez I forgot most of this, but I believe it is Complementary
Step-by-step explanation:
Answer:
32+58+90
Step-by-step explanation:
32 and x is a 90 degree angle since its a right angle and right angles add up to 90
Paulo's grandfather gave him a collection
of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used
to find m, the number of months after starting
his collection when Paulo will have more than 50 coins in his collection?
Answer:
20 + 4m >50
Step-by-step explanation:
What do solving absolute value equations and solving quadratic equations have in common?
Answer:
They often have more than one solution.
Answer:
Step-by-step explanation:
Quadratic equations are equations that when rearranged using the 5 operations can yield a polynomial of degree 2 on one side of the equation and 0 on the other. There are 3 commonly taught methods for solving quadratic equations. These methods are factoring, completing the square, and the quadratic formula. These functions are most commonly used to model projectiles, disregarding air resistance.
When using the factoring method one attempts to write a degree 2 polynomial as the product of two degree 1 polynomials. This method works because if we multiply two degree one polynomials together we find
For example: When factoring , we want to find two number a, b whose product is 6 and sum to 5. The values of a and b we are looking for are 2 and 3.
The method of completing the square centers around using the five operations to replace the original equation with an equivalent equation of the form by taking advantage of the fact that
The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground.
For example, , since we do not care about the negative sign.
Example: Solve
Solution: Since the absolute value does not care about whether a number is positive or negative, if then or . Then we can solve each equation individually to find that x = 1 or 5.