Answer:
The answer is 16.4 inches
Step-by-step explanation:
The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4
solve:
. [tex]6q^{2} - 17q + 12[/tex]
. [tex]8s^{2} + 2s - 15[/tex]
For zeroes i.e for value(s) of q and s, the given equations must be equal to 0, so let's start with first equation and then 2nd equation ;
[tex]{:\implies \quad \sf 6q^{2}-17q+12=0}[/tex]
[tex]{:\implies \quad \sf 6q^{2}-9q-8q+12=0}[/tex]
[tex]{:\implies \quad \sf 3q(2q-3)-4(2q-3)=0}[/tex]
[tex]{:\implies \quad \sf (3q-4)(2q-3)=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:3q-4=0\:\:\:or\:\:\: 2q-3=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:3q=4\:\:\:or\:\:\:2q=3}[/tex]
[tex]{:\implies \quad \bf q=\dfrac{3}{2},\dfrac43}[/tex]
Now, turning to the second equation ;
[tex]{:\implies \quad \sf 8s^{2}+2s-15=0}[/tex]
[tex]{:\implies \quad \sf 8s^{2}+12s-10s-15=0}[/tex]
[tex]{:\implies \quad \sf 4s(2s+3)-5(2s+3)=0}[/tex]
[tex]{:\implies \quad \sf (4s-5)(2s+3)=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:4s-5=0\:\:\:or\:\:\: 2s+3=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:4s=5\:\:\:or\:\:\:2s=-3}[/tex]
[tex]{:\implies \quad \bf s=\dfrac{5}{4},-\dfrac32}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
I am assuming you want to factor these expressions.
6q^2 - 17q + 12
We need 2 numbers whose product is (6*12) = 72 and whose sum is -17.
Theses are -9 and -8 so we write:
= 6q^2 - 9q - 8q + 12
= 3q(2q - 3) - 4(2q - 3)
= (3q - 4)(2q - 3)
If you want the solution of this expression = zero they are q = 4/3, 3/2.
8s^2 + 2s - 15
8 * -15 = -120. -120 = -2 * 2 * 2 * 3 * 5 = +12 * -10 ( to give the +2s)
= 8s^2 + 12s - 10s - 15
= 4s(2s + 3) - 5(2s + 3)
= (4s - 5)(2s + 3)
If you want the solution of this expression = zero they are s = 5/4, -3/2.
Solve for b
SOLVE ASAP!!
Answer:
Step-by-step explanation:
<A and <B are alternate interior angles. That means they are in the interior of the parallel lines and they are on opposite sides of the transversal.
When that happens <A = <B
8x + 78 = 2x + 114 Subtract 2x from both sides.
8x - 2x + 78 = 2x - 2x + 114 Combine
6x + 78 = 114 Subtract 78 from both sides
6x + 78 - 78 = 114 - 78
6x = 36 Divide by 6
6x/6 = 36/6
x = 6
I think you are asked for B
<B = 2x + 114
<B = 2*6 + 114
<B = 12 + 114
<B = 126
1.) 7x+4=46
2.) 4x+9=17
3.) 2x+1=1
how do you solve it
Answer:
1.) you're going to subtract 4 from 46
46-4= 42
7x=42
Then you divide 7 from 42 and get 6..........x=6
2.) you're going to do the same thing for this one
17-9=8
4x=8
8÷4=2
x=2
3.) you're going to do the same thing
1-1=0
2x=0
0÷2=0
x=0
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Write the ratio 2 : 5 in the form of 1 : n ?
Answer:
1:2.5
Step-by-step explanation:
just divide each side by 2
help? can you figure this out?
Answer:
C. Is the answer
Step-by-step explanation:
Hope it helps
Molly read 75 pages of the latest thriller mystery novel in 30 minutes. What was her unit rate?
The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes
Speed and RateGiven Data
Number of Pages read = 75 pagesTime taken = 30 minutesRequired = rateThe speed/ rate is defined as the number of pages read per minutes passed
Hence the expression for the unit rate is given as
Unit Rate = Number of pages/Time Taken
Substituting our given Parameters
Unit Rate = 75/30
Unit Rate = 2.5 pages per minutes
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Darin planted 24 packets of seeds in his garden. He planted a combination of bean seeds and corn seeds. If Darin planted 8 packets of bean seeds, which set of steps can be used to find n, the number of packets of corn seeds Darin planted?
The number of packets of corn seeds Darin planted is 16 packets.
How to write and solve equationTotal packets of seeds = 24Packets of bean seeds = 8Packets of corn seeds = nThe equation:
Total Packets = Bean seeds + corn seeds
24 = 8 + n
subtract 8 from both sides24 - 8 = n
16 = n
Therefore, the number of packets of corn seeds Darin planted is 16 packets.
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What is an advantage of renting a place to live? lower up-front costs payments change from month to month low down payment increasing equity over tim
Answer:
LOWER UPFRONT COSTS
Step-by-step explanation:
you're welcome ;)
A farmer needs to build a goat pen. The pen will be 8 meters wide and 13 meters long. The fencing material costs $5.06 per meter. How much will it cost to buy enough fencing material to build the goat pen?
Answer: $212.52
Step-by-step explanation:
first we have to find the right equation for the problem. a "pen" is an enclosure for animals that is fenced in, meaning we have to find how much fencing we need.
the question gives us two values, 8 meters wide and 13 meters long. we can infer that this "pen" is in the shape of a rectangle meaning two sides will be 8 meters wide and the two others sides are 13 meters long.
this means we will be finding the perimeter of the pen, which is all the sides of a shape added together. for a rectangle the perimeter you use (lenght+width) *2.
when we add the given values we have (8+13)*2 → 21*2 → 42. we need 42 meters of fencing to complete the "pen."
since each meter of fencing is worth $5.06, we multiply the amount of fencing me need by the cost. 5.06*42= 212.52.
this means the farmer will need to spend $212.52 in order to make his goat pen with a perimeter of 42 meters.
Your brand new car costs 16000 dollars. If sales tax is 8%, how much will it truly cost
with sales tax?
Sales tax amount:-
8% of 16000$0.08(16000)8(160)1280$Price:-
16000+128017280$Answer:
$17,280
Step-by-step explanation:
Given
Cost of car = $16,000Sales tax = 8%Solving :
When sales tax is added to the cost, the final cost will be 8% more than 16,000 or 108% of 16,00016,000 x 1.08$17,280 is the actual price of the car with taxPlease Help! Please!
Answer:
the answer is 1/2 the first one
Step-by-step explanation:
Because a dice has 6 sides, 3 of the numbers are odd so 3/6 and that is equal to 1/2 when simplified.
Help me pleaseeeeeee
Answer:
926% and I'm pretty sure the other one is 0.7
Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %
The area of a rectangle is 48 square inches. The length is 98 inches. Write an equation that can be used to find the width of the square.
Answer:
48 = 98x (where x is the width)
Step-by-step explanation:
Area of a rectangle = length × width
Let x = width
Given:
area = 48 in²length = 98 in⇒ 48 = 98x
Answer:
x=0.4897599184
Step-by-step explanation:
→Solution,
Area(A)=48 in²
Lenght(l)=98in
Breadth(b)=?
Let the breadth be x.
As we have,
Area of rectangle=l×b
48 in²=98 in × x
48 in²/98 in = x
x=0.4897599184
help///////////llllllllll
Answer:
It is squash
Step-by-step explanation:
This is because for every 3 tomatoes there is one squash. 1 squash times 3 is 3. 3 tomatoes times 3 is 9.
help me!!Write a function using correct notation that models the value of each car.
Answer:
[tex]f(x) = 2000 * 1.05^x[/tex]
Step-by-step explanation:
The key to this question is interpreting the graph and then modelling it into an exponential function.
You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)
Now refer to the standard form of an exponential function.
[tex]y = a * b^x[/tex]
Since you know that when x = 0, y = 2000, a must be 2000. Because [tex]b^0 = 1[/tex], 2000 * 1 = 2000
So you got your a value. Sub it into the equation and now you got.
[tex]y = 2000 * b^x[/tex]
You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.
[tex]2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b[/tex]
Now you have your a and b values. Now you can express using a function:
[tex]f(x) = 2000 * 1.05^x[/tex]
For a ride on a rental scooter, Felipe paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Felipes ride was $22.28. For how many minutes did Felipe ride the scooter?
Answer:
169 minutes
Step-by-step explanation:
First, deduct the fee:
22.28 - 2 = 20.28
Change the dollars into cents:
20.28 x 100 = 2028
Then divide the amount by 12 cents:
2028 / 12 = 169.
He rode it for 169 minutes or 2 hours and 49 minutes
At a jeans factory, a random quality check found 8 pairs defective and 292 pairs with no problems. how many defective pairs can be expected in the inventory of 3,000 pairs of jeans? 80 pairs 82 pairs 292 pairs 375 pairs
Find the total amount
$17,600 at 16% compounded
quarterly for 2 years
Answer:
57,700.10
Step-by-step explanation:
To solve, we use the equation [tex]17,600(1.16)^8[/tex]
we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.
please rate and mark as brainlest
What is the degree of 9x^3?
9x to the power of 3.
The largest exponent is the degree.
this only has one exponent so the degree would be 3
Evaluate the function (f-g)(x) for x=6
Answer: I think its 8
Step-by-step explanation:
A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. the height of the triangle is 3 inches. what is the area of the composite figure? (8π 6) in.2 (8π 12) in.2 (8π 18) in.2 (8π 24) in.2
Answer:
37.12
Step-by-step explanation:
Area of a Semi-circle = 3.14 x r to the 2nd power / 2
Area of a Triangle = b x h /2
3.14 times 4 to the 2nd power divided by 2 is 25.12. 8 times 3 is 24, divided by 2 is 12. Add 25.12 and 12 together and get 37.12.
Answer:
(8π + 12) in.2 or B
Step-by-step explanation:
E2020
Mr. Gates has $52 in his bank account. What will his account balance be after a purchase of $33 and then a deposit of $29?
Answer:
the answer is 48
Step-by-step explanation:
Please answer 26. Thank you.
A=2(wl+hl+hw)
Plug in the variables in the formula.
Help find tqs I’ll give brainlist
Answer:
91 degrees
Step-by-step explanation:
Angle RT = 46 degrees
Angle RU = 180 degrees
Angle RS = 89 degrees
So 46 + 89 = 135
180 - 135 = 45
So Angle UT = 45 degrees
Which means that Angle QR = 45 degrees also because they are vertical from each other
So you add 45 + 46 = 91
Angle TQS = 91 degrees
find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.
Answer:
[tex]\frac{512}{6561}[/tex]
Step-by-step explanation:
1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:
a₁₀=a₁*r⁹;
2) according to the rule above:
a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.
someone help me out please Extra points please!
Answer:
4.2
Step-by-step explanation:
The square root of 18 is 4.24
So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.
Put the dot where you think it would be appropriate to be labled as 4.2.
Also if you didnt know the x axis is the one on the bottom.
Line c has a slope of -9/2. line d is parallel to like c. what is the slope of line d?
Step-by-step explanation:
parallel lines have equal slopes
therefore,
line d will have slope -9/2
MARK ME AS BRAINLISTType your answer into the box. Butter and flour are mixed in the ratio 2:3. Chris has 640 grams of butter and 880 grams of flour. How much more flour does he need?
Answer:
80 grams
Step-by-step explanation:
since butter & flour are in the ratio 2:3
2/5 = 640
then 3/5 = flour(?)
eliminate 5 since it is common so that
2= 640
3= x
cross multiply
x= 3 /2× 640
= 960
640 grams of butter needs to mix with 960grams of flour so that they can be in the ratio of 2:3
960-880 = 80
hence 80 more grams of flour are needed.
10. deshawn installs a shelf bracket. what is the
widest shelf that will fit without overhang?
explain.
When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.
How to calculate the width?From the complete information, the other two sides have been given as 4 inches and 5 inches.
The Pythagoras theorem will be used in this case and it goes thus:
4² + Width² = 5²
Width² = 5² - 4²
Width² = 25 - 16
Width² = 9
Width = ✓9
Width = 3
In conclusion, the width is 3 inches.
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which experssion is equivalent to 5(4x+3)-2x
Answer:
18x + 15
Step-by-step explanation:
First, deal with the first part of the question:
5(4x+3)
We multiply the outside of the brackets with the inside. So, we do
5 x 4x = 20x
and 5 x 3 = 15
then put them together:
20x+15
Now, the second part:
- 2x
We cannot simplify this further so we put the two parts together:
20x + 15 - 2x
Collect like terms (20x - 2x) =
18x + 15
I hope this helped. If you have any further questions, do ask.
- profparis