Answer:
15 rooms.
Step-by-step explanation:
32x=500
x=15.625
Rounding down (since you can't get a fraction of a room), you get 15 rooms.
Simplify the expression (x^2+3x-28)/(x^2+10x+ 21). Show your work.
NOTE: Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method. Must show how you get factors. Not just give me factors.
Answer:
(x-3) (x-7)
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +21
Step-1 : Multiply the coefficient of the first term by the constant 1 • 21 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-21 + -1 = -22
-7 + -3 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -3
x2 - 7x - 3x - 21
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
3 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-7)
Which is the desired factorization
Just ignore ABCD but can someone help me with E AND G plzzz
Answer:
[tex]due \: to \: vertical \: opposite \: angel \: \\ 78 = x - 32 \\ 78 + 32 = x \\ 110 = x \\ \\ ....................................... \\ 2h + 44 = 126 \\ 2h = 126 - 44 \\ 2h = 82 \\ h = 41[/tex]
An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon tetrachloride is found to be 444.6 g. From this information , calculate the density of carbon tetrachloride .
Answer:
The density is 1.59 g/mL. Therefore, the substance will NOT float in water.
Step-by-step explanation:
The following data were obtained from the question:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Mass of CCl₄ =.?
Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)
Mass of CCl₄ = 444.6 – 245.8
Mass of CCl₄ = 198.8 g
Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:
Mass of CCl₄ = 198.8 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Density = mass / volume
Density of CCl₄ = 198.8 / 125
Density of CCl₄ = 1.59 g/mL
The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.
The density of carbon tetrachloride is 1.59 grams per milliliter.
Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:
Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).
(444.6 - 245.8) / 125 = X 198.8 / 125 = X 1.59 = X
Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.
Learn more in https://brainly.com/question/952755
At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Winner is paid :
Monthly pay while on tour = $5000
Pay per CD sold =. $2
A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.
(Monthly pay * number of months) + (pay per CD * number of CD's)
Earning = 5000m + 2n
B) How much will the winner earn after the first month if 500 CDs are sold?
m = 1, n = 500
5000(1) + 2(500) = $6000
C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?
m = 3
74000 = 5000(3) + 2n
74000 = 15000 + 2n
74000 - 15000 = 2n
59000 = 2n
n = 59000 / 2
n = 29500 CD's
D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
n = Gold = 50000 ; m = 6
5000(6) + 2(50000)
30000 + 100000 = 130,000
There exists a similarity transformation that maps ABC to A'B'C. The measure of the measure of
Answer:
Step-by-step explanation: For any triangle, the angles add to 180 degrees
A+B+C = 180
68+46+C = 180
114+C = 180
C+114 = 180
C+114-114 = 180-114
C = 66
Angle C is 66 degrees
Angle C' is 66 degrees
The triangles ABC and A'B'C' are similar, so angle C = angle C'
I start at 5,6 and move 4 units down what will i end up with
Answer:
5,2
Step-by-step explanation:
since you're moving down the y-axis you will subtract 4 from 6 because 6 is on the y-axis
5 stays the same since you're not moving on the x-axis
(5,2)
Two similar solids are shown A and B
A=3cm B=6cm
Solid A has a volume of 60cm cubed
Work out the volume of solid B
Answer:
120 cm³Step-by-step explanation:
this is a ratio and proportion of two similar solids
vol A = 60 cm³ and A = 3cm
vol B = ? and B = 6 cm
60 = 3
B 6
do cross multiply:
3B = 60(6)
B = 120 cm³
therefore, the vo. of B is 120 cm³
How is online school going so far?
Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.
Answers
$0.02
$0.19
$1.93
$19.25
Answer:
0.19 aka B
Step-by-step explanation:
Will mark brainliest if correct!!!
Evaluate 8a + 3b - 10 + c² when a = 2, b = 5, and c = 4.
Answer:
37
Step-by-step explanation:
8(2)+3(5)-10+c^2=37
PLEASE HELP!
IMAGE DOWN BELOW!
Answer:
1. 11t
2.7w+28
3. 2c+11
4. 8n
5. 10r+15
6. 24−8g
7. 17d−9
8. 8g+7z
9. 23b
10. 2rs+1
11. 9f+9g
12. 4x+y
13. 21a+14
14. 21a+14
15. 6−3k
16. 18n+36
17. 9s+3t
18. 8a−12b
19. 11m+n
20. 2+6z
21. 8x+6y
22. 7hg−7
23. 4st+5
24. 2r+17
25. 7w+6
26. 3(c+2)
27. 8f−4g
28. 2+8q+3r
Step-by-step explanation:
there you go, sorry it took so long
how do you convert fractions to decimals?
Answer: division :3
Step-by-step explanation:
The line in a fraction that separates the numerator and the denominator represents division.
To convert a fraction to a decimal, divide the numerator by the denominator.
i need help with this
Answer:
1. -9
2. -2
3. -3
4. 2 (positive)
Step-by-step explanation:
positive + negative= positive
negative + positive =negative
positive +positive =positive
negative +negative =negative
hope you like it ( ' - ' )
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
2.5 milesStep-by-step explanation:
Let the distance be x
Then Jonathan biked for
x/15 hoursHis mother drew for
x/25 hoursThe time difference is
1/15 hoursSo we have
x/15 - 1/15 = x/25(x - 1)/15 = x/2515x = 25x - 2525x - 15x = 2510x = 25x = 25/10x = 2.5 mileshow do i do this
10 x 10 x 10 =
10 squared =
10 6
Answer:
Well 10 to the 6th power right?
Step-by-step explanation:
well u multiply 10x10x10x10x10x10
1000000
im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc
£1=$1.62
£650 in dollars
$405 in Pounds
605 pounds is 840.25 dollars
405 dollars is 313.30 pounds
Answer:
£650= 840.25$
$405= 313.30£
Step-by-step explanation:
2. Given g(x) = x +5, find the following.
a. g(4)
b.g(-10)
c. g(0)
9514 1404 393
Answer:
a) 9
b) -5
c) 5
Step-by-step explanation:
Put the value of the argument where x is and do the arithmetic.
a) g(4) = 4+5 = 9
b) g(-10) = -10 +5 = -5
c) g(0) = 0 +5 = 5
2/ 6 dividing by 1 /3
Answer:
1/9
Step-by-step explanation:
I hope this help.
Which graph shows a system with no solutions? Graph A Graph B Graph C y= 2r-1 2y 4x-2 A. Graph C OB. Graph B C. Graph A
Answer:
graph b
Step-by-step explanation:
Please help me I’m struggling
Answer:
$.80 or $0.80
Step-by-step explanation:
$4 = 5 apples so u divided that 4 divided 5 gives you .80
so answer is 80 cents
Answer:
$0.8 or $ .8
Step-by-step explanation:
Hopefully this helps you!
19 is 50% of what number? round to the nearest tenth
Answer:
38... 19 doubled thats it
Answer:
38
Step-by-step explanation:
Rounded to the nearest tenth is 40
3.f(-4)-3.g(-2) please
Step-by-step explanation:
3.f(-4)-3.g(-2)
3 [f(-4) - g(-2)]
i needa lil help on this question
Answer:
-2, -4
Step-by-step explanation:
Find the value of y. images attached.
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of y
To find the value of y we use tan
[tex] \tan(28) = \frac{y}{35} \\ y = 35 \tan(28) \\ y = 18.6098301...[/tex]
We have the final answer as
18.61Hope this is helps you
(14+13n+3n^3)+(2+4n+9n^3)
Answer:
=12n3+17n+16
i hope this helps :)
if it takes joan 10 weeks to make 2 dollhouses how long will it take her to make 15 dollhouses
Answer:
75 weeks
Step-by-step explanation:
We can write a ratio to solve
10 weeks x weeks
--------------- = ---------------
2 hours 15 houses
Using cross products
10 * 15 = 2 * x
150 = 2x
Divide by 2
150/2 = 2x/2
75 = x
75 weeks
11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?
Answer:
155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9
=155/5*9
=31*9
=279
12-3.85
Help lol please
Answer:
The answer is 8.15
A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depression of 15 degrees. The crows nest is 20 m horizontally from the bow (front) of the boat. How far in front of the boat is the orca?
Given :
A sailor is 30 m above the water in the crow's nest on a sailboat.
The sailor encounters an orca surface at an angle of depression of 15 degrees.
The crows nest is 20 m horizontally from the bow (front) of the boat.
To Find :
How far in front of the boat is the orca.
Solution :
Let, distance of boat front from the crow's nest is x.
So,
[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]
Hence, this is the required solution.
at Als pizza they have the expo pizza, which is a 24- inch cheese pizza that costs 17.50. Each topping for the pizza costs 2.35. you order a pizza and get charged 29.25
How many toppings were on the pizza?
A. 6
B. 10
C. 3
D. 5
Answer:
D
Step-by-step explanation:
The first step is to subtract 29.25 from 17.50
You get 11.75
Then divide 11.75 to 2.35
You get 5.
The reason you do these steps is because,
since you paid 17.50 for the pizza the rest is toppings so...
so you subtract from the total to see how much the toppings were worth in total...
you divide 2.35 from that to show how many toppings there would be
Answer:
D. 5
Step-by-step explanation:
Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.
You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.
Comment if you need more help :)