Answer:
=5xy−9x−9y+7
Step-by-step explanation:
Let's simplify step-by-step.
−6x+5xy−9y−3x+7
=−6x+5xy+−9y+−3x+7
Combine Like Terms:
=−6x+5xy+−9y+−3x+7
=(5xy)+(−6x+−3x)+(−9y)+(7)
=5xy+−9x+−9y+7
Answer:
=5xy−9x−9y+7
A nutrition label on a can of tuna fish states that every 1/4 cup of tuna has 1/2 gram of fat. How many cups of tuna are there for every gram of fat?
Answer: 1/2 cups
Step-by-step explanation:
Given that:
Every 1/4 cup of tuna has 1/2 gram of fat
How many cups of tuna are there for every gram of fat:
Let cup of tuna for 1 gram of fat = t
Hence, If
1/4 cup of tuna = 1/2 cup of fat
t tuna = 1 cup of fat
Cross multiply :
1/2 t = (1/4 * 1)
1/2 t = 1/4
t = 1/4 ÷ 1/2
t = 1/4 * 2/1
t = 2/4
t = 1/2
Hence, 1/2 cups of tuna for every gram of fat
A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?
Given :
Distance of firefighter from the building, D = 33 feet.
Height of building, h = 45 feet.
To Find :
The angle of elevation of the cat.
Solution :
Let, angle of elevation is Ф.
We know, tan Ф = h/D
tan Ф = 45/33
Ф = tan⁻¹( 45/33 )
Ф = 53.75°
Therefore, angle of elevation is 53.75° .
Hence, this is the required solution.
Which equation is a point slope form equation for line AB?
y+1=−2(x−6)
y+2=−2(x−5)
y+6=−2(x−1)
y+5=−2(x−2)
Answer:
Option 2: y+2=−2(x−5) is the correct answer.
Step-by-step explanation:
We can see two points on the line A and B.
Their coordinates are:
A = (x1,y1) = (1,6)
B = (x2,y2) = (5,-2)
The point slope form is given as:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is the slope which is found using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2[/tex]
Putting the value of slope
[tex]y-y1 = -2(x-x_1)[/tex]
Putting both points to get two forms of point slope form of equation
Putting (1,6):
[tex]y-6 = -2(x-1)[/tex]
Putting (5,-2):
[tex]y+2 = -2(x-5)[/tex]
Looking at the equations and options it can be concluded that
Option 2: y+2=−2(x−5) is the correct answer
A contestant on the Biggest Loser tv show started at 380 lbs. When the show ended, the contestant weighed 225 lbs. What was the contestants percent decrease?
Answer:40.789%
Step-by-step explanation:
380-225=155
155/380=0.40789 or 40.789%
Mr. Bearfield deposited $3,500 in a new investment account. -The investment pays 8% interest compounded annually on this account. -Mr. Bearfield did not make any additional deposits or withdrawals. What is the balance of the account at the end of three years?
Answer:
In 3 years, you will have $4,408.99
Step-by-step explanation:
The formula used in the compound interest calculator is A = P(1+r/n)^(nt)
A = the future value of the investment
P = the principal investment amount
r = the interest rate (decimal)
n = the number of times that interest is compounded per period
t = the number of periods the money is invested for
Andre and Elena knew that after 28 days they would have 2²⁸ coins, but they wanted to find out how many coins that actually is. Andre wrote: 2 28 = 56. Elena said, "No, exponents mean repeated multiplication. It should be 28 28, which works out to be 784." Do you agree with either of them? Explain your reasoning.
Answer:
I agree with none of them
Step-by-step explanation:
Given
[tex]Expression= 2^{28}[/tex]
[tex]Andre: 2 * 28 = 56[/tex]
[tex]Elena: 28 * 28 = 756[/tex]
Required
Who is correct?
[tex]Expression= 2^{28}[/tex]
When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places
i.e.
[tex]Expression= 2^{28}[/tex]
[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places
Andre's interpretation of the expression is incorrect as:
[tex]2^{28} \neq 56[/tex]
Also, Elena's expression is incorrect.
This is so, because
[tex]2^28 \neq 28*28[/tex]
Hence, both of them are incorrect and I agree with none of them
What does (f+g)x mean?
Answer:
(f + g)(x) means f(x) + g(x)
General Formulas and Concepts:
Alg I
Function NotationCombining like termsAlg II
Composite FunctionsStep-by-step explanation:
(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.
Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.
A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?
Answer:
- 4.683
Step-by-step explanation:
Given that:
Slope of regression line = 2.334
Mean of x coordinate = 6.607
Mean of y coordinate = 10.738
Y value of the y intercept of the line :
The value of the intercept can be obtained using the the relation :
Mean of y coordinate - slope(mean of x coordinate)
Ybar - slope(xbar)
10.738 - 2.334(6.607)
= −4.682738
= - 4.683 ( 3 decimal places)
Hence, intercept = - 4.683
Answer:
- 4.683
Step-by-step explanation:
Shawn wanted to rent a mo-ped for the afternoon. The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike. Write an expression that represents the cost for h hours. Then, decide how much Shawn spent if he rented the mo-ped for 3 hours.
Answer:
Total cost= $31
Step-by-step explanation:
Giving the following information:
The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike.
First, we need to structure the total cost formula:
Total cost= 10 + 7h
h= number of hours
Now, for 3 hours:
Total cost= 10 + 7*3
Total cost= $31
what is the proportional realashionship
Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."
Step-by-step explanation: I got this from a website. Hope it works!!!
lunches cost 14.75 per week how much would 13 weeks of lunches cost fast pls
Answer:
it would cost 191.75
Step-by-step explanation:
i just put it in a proportion like this 14.75/1 = ?/13
then i just multiplied 14.75 and 13 i got the resulting answer 191.75
pls mark brianleist
3(7)+9=30 what does this equal
Answer:
First finish the brackets
21+9=30
30=30
So, it’s true
Step-by-step explanation:
Answer:
you got the right answer it equals 30
Step-by-step explanation:
i think that is what your asking and the answer is already correct
but you distribute the 3 into the 7 so you would do 3x7+9 and that would give you 30
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct
Answer: no Tony is not correct It is less than 5 hundred dollars.
Step-by-step explanation: 8×37=296 +200 = 496
Answer:
38
Step-by-step explanation:
The solution to the inequality is x Greater-than-or-equal-to 37.5.
For this situation, only whole number solutions make sense.
Tony needs to round up to 38.
What are the answers
Answer:
81 for the first blank and 12 for the second.
Step-by-step explanation:
The rule is divie or multiply by 9. (depending on what side its asking)
PLEASE HELP ILL MARK YOU BRAINLIEST
Answer:
C
Step-by-step explanation:
Answer:
C i think
Step-by-step explanation:
On Wednesday, 10% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas. How many of these 250 customers made additional purchases?
Answer:
25 customersStep-by-step explanation:
Step one:
given data
we are told that the total customers are 250 in number
and that 10% of customers made additional purchase.
Step two:
what we intend to find is the number that 10% represent in 250
this is shown as
=10/100*250
=0.1*250
=25
The number of customers that made an additional purchase is 25
Answer:
25
Step-by-step explanation:
Find the total surface area of this cuboid,
5 cm
4 cm
6 cm
Answer:
148
Step-by-step explanation:
Sa=2(lw+lh+wh)
Sa=2(4*5+4*6+5*6)
148=2(4*5+4*6+5*6)
Answer:
100 cm sq
Step-by-step explanation:
The answer is 100 cm sq because the formula would be:
SA= Ph + 2B
Sa= 10 x 6 + 2 x 20 (5 x 4)
SA= 60 + 40
SA= 100 cm sq
Please make me brainliest!!!
4. Rudy is training for a race. On Monday he ran
2 km. On Tuesday he ran 15% farther than on
Monday. If he increases his running distance
by the same percentage each day, on which day
will he first run more than 4 km?
A. Wednesday
B. Thursday
C. Friday
D. Saturday
Answer:
C
Step-by-step explanation:
You add .3 km to the first day (tuesday)
then .6 then next day (wedneday)
next you add .9 on the next day (thursday)
finally you add 1.2 km on Friday
2.3+0.6+0.9+1.2=4 km
Jade buys a singing tie for $20 with 6% tax. How much does she pay?
A: $14.00
B: $26.00
C: $21.00
D: $1.20
Answer:
The answer is C:$21.00
Step-by-step explanation:
HELP ASAP! Relations and Functions!!! Giving brainliest!!! !
Answer: its a relation only :))
Step-by-step explanation: bc of that rule saying that there is only one output for every input there for not a function ( not a one to one function)
EASY HIGH POINTS
In parallelogram WXYZ, the longer sides are three times the length of the shorter sides.
Parallelogram W X Y Z. The length of sides W Z and X Y are 12 inches.
If W Z = 12 inches, what is the length of ZY?
3
4
8
12
Answer:
D. 12
Step-by-step explanation:
12 by 3 is 36 and since its three times the length if you divide it by 3 it would be 12.
Answer:
4
Step-by-step explanation:
Solve the system of equations -2x – 4y = –26 and -3x – 3y = -12 by
combining the equations.
2x – 4y -26)
3x – 3y =-12)
- 2x
3x
- 4y
-Зу
= -26
12
try
0
+
0
y
Step-by-step explanation:
First u group them for example
-2x-3x-4y-3y
5+7=12
The graph shows a predicted population as a function of time.
Which statement is true?
As the number of years increases without bound, the
population decreases without bound.
As the number of years decreases, the population
increases without bound.
As the number of years increases without bound, the
population increases without bound.
There is no limit to the population, but there is a limit
to the number of months.
Answer: (As the number of years increases without bound, the population increases without bound.)
Hope I helped.
Answer:
The answer is C. As the number of years increases without bound, the population increases without bound.
A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X
and find the area of the square.
Answer:
greatest value of X = 12
Area of square = 144 cm²
Step-by-step explanation:
The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The highest common factor between both factors of 48 and 60 is 12.
Thus,
greatest value of X = 12
Area of square = 12 × 12
Area of square = 144 cm²
What is the solution to the equation?
Pls help ASAP
Answer: 12 1/2
Step-by-step explanation:
its easy bruh what grade you in this is 6th grade stuff
2
y + 4
3
How do I write this in a word phrase
Answer:
To write an expression, we often have to interpret a written phrase. For example, the phrase “ 6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.
Step-by-step explanation:
What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)
Answer:
17
Step-by-step explanation:
24x+24=27x-27
51=3x
x=17
Which equation represents the rectangular form of 5pi/6
Answer:
D, StartRoot 3 EndRoot x + 3 y = 0
Step-by-step explanation:
The equation which represents the rectangular form of 5pi/6 is √3x-y=0.
We are given that;
The expression 5pi/6
Now,
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
The rectangular form of a polar point (r, θ) is given by (x, y) where x = r cos(θ) and y = r sin(θ).
Therefore, the rectangular form of 5π/6 is given by (x, y) where x = 5 cos(5π/6) and y = 5 sin(5π/6).
Using the unit circle, we can find that cos(5π/6) = -√3/2 and sin(5π/6) = 1/2.
Hence, the rectangular form of 5π/6 is (-5√3/2, 5/2).
Therefore, by the equation answer will be √3x-y=0.
To learn more about equations :
brainly.com/question/16763389
#SPJ4
(Wap) Urgent I need help with this question
Answer:
12.1
Step-by-step explanation:
In this question, we can use the pythagoras theorem to solve it.
the equation is [tex]\sqrt{11^{2}+5^{2} }[/tex] = slant height.
= 12.1
Mrs. Smith wants to purchase new markers for
her class. She compares prices at four different
stores, Which store sells markers for the lowest
price per marker?
A.Large lots:10 for $2.50
B.Pay less:20 for $4.00
C.office mart:30 for $5.50
D.save more:40 got $9.50
Answer:
off course D
Step-by-step explanation:
follow me say a thanks mark me branliest