Answer:
8
Step-by-step explanation:
17-(9+2)=8
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answer:
Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.
A + B = 45
After that, make an equation out of the second sentence. "Difference" means subtraction.
A - B = 3
There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.
A + B = 45
A - B = 3
-------------
2A = 48
A = 24
Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.
A + B = 45
24 + B = 45
B = 21
This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!
Step-by-step explanation:
please mark me as brainlest
How to convert the mixed number to a fraction
6 and 1 over 7?
Answer:
43/7
Step-by-step explanation:
6 1/7
First, you need to multiply 6 by 7, then add 1
43/7
Answer:
[tex]\frac{43}{7}[/tex]
Step-by-step explanation:
6 x 7 + 1
there is 6 whole fractions so it would be [tex]\frac{7}{7}[/tex] 6 times then add the [tex]\frac{1}{7}[/tex]
which would be [tex]\frac{43}{7}[/tex]
hopefully that made sense!
PLEASE HELP DUE IN 10!!!
Solve for the value of w.
Answer:
32 +9w-5=90
9w-5=58
9w=63
w=7
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin ☺️
2[(3x + 5) – 7] = 3(4x – 3)
Answer:
5 / 6
Step-by-step explanation:
2 [ ( 3x + 5 ) - 7 ] = 3 ( 4x - 3 )
2 [ ( 3x + 5 - 7 ] = 3 ( 4x - 3 )
2 [ 3x - 2 ] = 3 ( 4x - 3 )
6x - 4 = 12x - 9
12x - 9 = 6x - 4
12x - 6x = - 4 + 9
6x = 5
x = 5 / 6
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Exact Form:
x=5/6
Decimal Form:
x=0.8¯3
need help with #8 please
Answer: the common ratio is 1:2 because each time you are multiplyin by 1/2 each time .
Step-by-step explanation:
Answer:
5184 is the answer for 3 x 6 x 12 x 24
Step-by-step explanation:
How can you estimaite [tex]\sqrt 40.[/tex]
9514 1404 393
Answer:
√40 ≈ 6 4/13 ≈ 6.31
Step-by-step explanation:
The estimate by linear approximation starts with the recognition that ...
40 = 36 +4 = 6² +4
and the difference from 36 to the next square, 7² = 49 is 49-36 = 13.
The linear approximation to √40 is ...
√40 ≈ 6 4/13 ≈ 6.31
__
There are various methods for improving this approximation. Perhaps the fastest improvement is obtained using the "Babylonian method." The next iteration is the average of this value and 40 divided by this value.
(82/13 +40/(82/13))/2 = 6 173/533 ≈ 6.3246 . . . . accurate to 4 decimal places
_____
Additional comment
When you write the value in terms of a square and a remainder:
n = s² +r
then the above linear approximation of √n can be written as ...
√n ≈ s +r/(2s+1)
Using the idea that a square root can always be represented by a continued fraction, we can continue the fraction one more iteration to give a slightly better approximation:
√n ≈ s +r(2s+1)/(2s(2s+1) +r)
For the case at hand, this gives √40 ≈ 6+52/160 = 6 13/40 = 6.325, accurate to 3 decimal places. Additional iterations using the continued fraction idea can be had using ...
n'' = s + r/(s +n') . . . . . where n' is an approximation of the root and n'' is a better approximation. This does not converge as fast as the Babylonian method, but may be easier to calculate on some calculators.
y = x + 3
help with table and graph
Table:
1st row: x = -2 and y = 1
2nd row: x = -1 and y = 2
3rd row: x = 0 and y = 3
(It will continue going on with x and y each going up by one infinitely.)
Graph:
The graph is linked, so you can plot the points.
If needed, here are the plotted points:
-2, 1
-1, 2
0, 3
(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)
Hope this helps! :D
Please help help help
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .
To find :-
The value of x .
Solution :
In larger triangle :-
90 + y + y = 180
2y = 180 - 90
2y = 90
y = 45°
As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45
x = 45/15
x = 3
2. An apartment complex has a demand given by p = -5x + 860,
where x is the number of apartments rented and p is the price
for each apartment, in dollars. The cost of maintaining the
complex is $120 per rented apartment. There are fixed costs of
$6000.
a) Find the revenue equation.
b) Find the cost equation.
c) Find the profit equation.
d) Find the number of apartments that must be rented to break
even.
The required equations computed from the data given are :
R(x) = 860x - 5x²C(x) = 120x + 6000P(x) = 740x - 5x² - 6000Break even point = 139 gallons and 9 apartmentGiven the Parameters :
Price per apartment, p = - 5x + 860x = number of apartments rented Fixed cost = 6000Maintainance cost per apartment = $120The Revenue Function, R(x) :
Price per apartment × Number of apartments rented (-5x + 860)x ; R(x) = 860x - 5x²The Cost equation, C(x) :
Fixed cost + Maintenance cost per apartment C(x) = 6000 + 120xThe Profit function, P(x) ::
P(x) = R(x) - C(x)
P(x) = 860x - 5x² - (6000 + 120x)
P(x) = 860x - 5x² - 6000 - 120x
P(x) = 740x - 5x² - 6000
Number of apartments required to break even :
At break even ;
P(x) = 0
740x - 5x² - 6000 = 0
Divide through by 5
-x² + 148 - 1200 = 0
Using a quadratic calculator :
The roots are (139.39, 8.60)
Therefore. The company will break even at 139 apartments rented or 9 apartments.
Learn more :https://brainly.com/question/8882508
Kala is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $ 79 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer: 21 miles
Step-by-step explanation:
Help me plz
It’s question 2
Answer:
angle a is acute and angle b is obtuse
Step-by-step explanation:
Hi I need an answer thank you
Please help
Solve for w
8,326 x 9 =n
which is the answer?
A. 52,234
B.74,934
C.2,376
D.3008
E. none
Answer:
B
Step-by-step explanation:
Answer:
2376 square feet
Step-by-step explanation:
40 x 15 = 600
40 x 24 = 960
1/2 x (24 x 9) = 108
600 + 600 + 960 + 108 + 108 = 2376
need help in pre algebra plz
Answer:
the first one is c
Step-by-step explanation:
i did just did it
Eleanor has £50. Trevor takes £y. Write an expression for how much Eleanor has got left.
Answer:
50-y
Step-by-step explanation:
Hope this helps :).
10
h
+
6
−
5
h
+
3
sorry its weird, you can type it out it wont let me put it normally.
Answer: 5h+9
Step-by-step explanation:
10h + (-5h)
5h+(6(+3))
Cost of dinner at Chewy's: $38.72
Tip: 25%
Tax: 4.1%
What is the new cost for the meal?
Answer:
48.40
Step-by-step explanation:
Very simple. This is similar to calculating HST on something.
25%=0.25
38.72*0.25=9.68
38.72+9.68=
Matthew borrows $200, agreeing to pay it back with a 6% annual interest after 20 months. How much interest will she pay?
Answer:
$20.00
Step-by-step explanation:
Equation:
A = P(1 + rt)
convert R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Putting time into years for simplicity,
20 months / 12 months/year = 1.666667 years.
sol.
A = 200(1 + (0.06 × 1.666667)) = 220.000004
A = $220.00
The total amount accrued, principal plus interest, from simple interest on a principal of $200.00 at a rate of 6% per year for 1.666667 years (20 months) is $220.00.
Interest: $20.00
In which part of the graph is the distance from home decreasing?
A. 3
B. 2
C. 1
D. 4
Answer:
3
Step-by-step explanation:
According to the graph, three is the lowest point which is decreasing
Answer:
its 2 bc its going down
Step-by-step explanation:
Is this graph portional
9514 1404 393
Answer:
no
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.
Given that (9,2) is on the graph of f(x), find the corresponding point for the function f(-3/4x)
Answer:
(- 12 , 2)
Step-by-step explanation:
f(x) -> f(kx) |k| = |-3/4| = |- 0.75| = 0.75
0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)
(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)
One number is seven less than six times another number. If the sum of the numbers is 56, find the numbers.
Answer:
The answer is 2
Step-by-step explanation:
You need to find out what is 56 divided by 6 which is 9. Then subtract, 9-7 which equals 2. So the answer is 2.
Write the scale without units: 1 cm:1 km
Step-by-step explanation:
scale = 1/100000 .
hope this helps you.
Find the equation for the vertical line that goes through point V (-5,17)
Need Help ASAP
Please
Answer:
y=0x-5
Step-by-step explanation:
19. Which of the following numbers is the smallest?
419
1/2
318
7/16
Answer:
Step-by-step explanation:
7/16
419
318
1/2
1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)
Solve for x
Answer:
x=19/10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)
(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)
1/5x+0.1+5.24=3/2x+7/10x+1.54
(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)
1/5x+5.34=11/5x+1.54
Step 2: Subtract 11/5x from both sides.
1/5x+5.34−11/5x=11/5x+1.54−11/5x
−2x+5.34=1.54
Step 3: Subtract 5.34 from both sides.
−2x+5.34−5.34=1.54−5.34
−2x=
−19/5
Step 4: Divide both sides by -2.
−2x=−19/5
x= 19/10
Answer:
x= 19/10
4. Two pairs of related (x, y) values for a function are (-3, 9) and (-1, 13).
Find the slope and y-intercept, and write the equation of the function.
equation: __
slope: __
y-intercept: __
Step-by-step explanation:
Find the slope:
m = (13 - 9)/( - 1 + 3) = 4/2 = 2Find the y-intercept:
9 = 2(-3) + b9 = -6 + bb = 9 + 6b = 15The equation is:
y = mx + by = 2x + 15Slope
m=13-9/-1+3m=4/2m=2Equation in point slope form
y-9=2(x+3)y-9=2x+6y=2x+15Y intercept=15
Poems written for entertainment in ancient Sumer were called _______.
a.
Scribes
c.
Epics
b.
Cuneiform
d.
Haiku
Please select the best answer from the choices provided
A
B
C
D
HELP ITS LIKE HELL
Answer: C) Epics
Explanation: Epics were popular in ancient Sumer as they were poems used for entertainment which usually included long stories about a hero or an important event. A very popular epic from Sumerian literature was the Epic of Gilgamesh.
I hope this helps you :D