Answer:
we have added 9/4 to both sides of the equation.
Step-by-step explanation:
The given equation is :
[tex]x^2+3x=6[/tex]
Here, a = 1, b = 3 and c = 6
We should add (b/2)^2 to the both sides of the equation.
(b/2)^2 = (3/2)^2 = (9/4)
[tex]x^2+3x+\dfrac{9}{4}=6+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{33}{4}\\\\x+\dfrac{3}{2}=\pm \dfrac{\sqrt{33}}{2}\\\\x= +\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}, -\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}\\\\=1.37,-4.37[/tex]
Hence, we have added 9/4 to both sides of the equation.
A 3.6 m long string is to be cut into pieces, each of length 40 cm. How many pieces can be cut from the string?
Arrange the following in ascending order of magnitude: 0.20, 5/12, 75%
The bearing of Lakeshore from Klayton is 196°. What is the bearing of Klayton from Lakeshore
Answer:
9 pieces
Step-by-step explanation:
first convert 40cm to m by dividing by 100cm
then divide 3.6m by 0.4 then the ans will come.
A) There are 9 strings each of length of 40 cm.
B) 0.20, 5/12, 75% is already in the ascending order.
C) The bearing of Klayton from Lakeshore is also 196°.
In mathematics, it deals with numbers of operations according to the statements.
A) A 3.6 m long string is to be cut into pieces, each of length 40 cm.
3.6 m = 3.6 * 100cm
3.6 m = 360 cm
Let the number of stings be x
x * 40 = 360
x = 360 / 40
x = 9
there are 9 strings each of length of 40 cm.
Arranging the following in ascending order of magnitude: 0.20, 5/12, 75%
0.20, 5/12, 75% is already in the ascending order.
The bearing of Lakeshore from Klayton is 196°. The bearing of Klayton from Lakeshore is also 196°.
Thus, the answers to the given problem are calculated above.
Learn more about arithmetic here:
brainly.com/question/14753192
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Which statement is correct about the product of 423 and 78?
A. Because 78 is less than 1, the product of 423 and 78 is less than 423.
B. Because 78 is greater than 1, the product of 423 and 78 is less than 423.
C. Because 78 is less than 1, the product of 423 and 78 is greater than 423.
D. Because 78 is greater than 1, the product of 423 and 78 is greater than 423.
Answer:
D
Step-by-step explanation:
I hope this helped!
Answer:
d
Step-by-step explanation:
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.
What is the original number?
A: -30
B: -4
C: 4
D: 30
(No shown work is needed)
Answer:
C: 4
Step-by-step explanation:
when a positive and negative number are multiplied you will get a negative number.
So,
4-7= -3
-3x3= -9
Therefore, your answer is C: 4. Hope this helps! :)
You move up eight units and left eight units. You end at -5, 3. Where did you start?
Answer:
(-5+8,3-8) = (3,-5)
Step-by-step explanation:
could somebody help me please im dumbbb
Answer:
its parentheses, exponents, multiplication and division and addition and subtraction
what equation does this model show?
Answer:
14x-12=9x-25
Step-by-step explanation:
Since the balance is equaled, the equation would read to be 14x-12=9x-25.
A boy is flying a kite in a park. He lets the kite reach a height of 30 feet. He then lets it drop 10 feet, before he lets it go back up another 25 feet. What is the current height of the kite?
45 feet would be the answer.
./....
a) 120 =(120:60)* = 2*
b) 240 (240:60)* = 4
4480 = (480: 60* = 8
d) 600 (600:601 - 10
Answer:
60
Step-by-step explanation:
what am i supposed to answer frl
A chef needs to increase the temperature of a food dish. She thinks she can do this by stacking another dish on top of it. She has three dishes to choose from for the top dish: A, B, and C.
Which one of these dishes would make the food dish the warmest when placed on top of it? As part of your answer, explain how the energy and temperature of both the top dish and the food dish will change when the food dish warms up, and why.
Answer:
This question is incomplete
Step-by-step explanation:
Answer:
I may not know the answer but from what I. seeing we taking the same test TwT
simplest form
7/15 - 1/5
Answer:
4/15
Step-by-step explanation:
7/15 - 3/15 = 4/15
Answer:
4/15
Step-by-step explanation: i did the math
Evaluate 12a+0.35b
When a = -0.25 and b = 10
Answer: 0.5
Step-by-step explanation:
You can substitute:
12(-0.25) + 0.35(10)=
-3 + 3.5=
0.5
Which expression is equivalent to 3(4y)
I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Well 12y is the most obvious answer.
Anything that makes 12 is good enough.
4(3y) is another answer
12(y)
1(12y)
6(2y)
2(6y
HELP!!! this is due today and i’m super dumb :( pls help me the help will be very much appreciated.
Answer:
Side length: 28
Area: 784
Step-by-step explanation:
Pythagorean
Hope This helps
Answer:
Side lengths of the square are 10 units. The area of the square is 100 units squared
Step-by-step explanation:
Use the Pythagorean theorem to find the hypotenuse of the right triangles. The lengths of the hypotenuses is the same as the side lengths of the square. Since it's a square all the sides are congruent(same length) To find the area of the square multiply the base times the height(10x10) because it's a square the area is squared. Therefore, the area is 100 units squared.
9. Select the value below that is between 0.5 and 0.65. *
0.055
3/4
6%
5/9
Answer:
0.5<
Step-by-step explanation:
5/10<5+65/10+100<65/100
=5/10<5+65/10+100<65/100
=1/2<1+13/2+20<13/20
=1/2<14/22<
(9 + 33 – 6 ) ÷ 6 – 3 to the power of 2
Answer:
Step-by-step explanation:
9+33-6)/6-3
42-6)/6-3
36/6-3
6-3
3 to the second power is 9
because three times three is 9
Answer:
9
Step-by-step explanation:
Do the numbers inside of the parenthesis first because of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction). Then, you will get 36. Divide this by 6, the next step using PEMDAS. You will get 6. Now finally, subtract 3. Now you have 3. Now, what is 3 to the power of 2? Well simply multiply 3 by itself. You have the answer of 9 at this point.
Hope this helps! Please mark this as the brainliest!
Find the first three terms of the sequence below.
Tn = n2 + 5n + 2
Step-by-step explanation:
T1 = 1^2 + 5(1) + 2 = 8
T2 = 2^2 + 5(2) + 2 = 16
T3 = 3^2 + 5(3) + 2 = 26
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
First three terms : 8 , 16 , 26
Step-by-step explanation:
[tex]T_{n}=n^{2}+5n + 2[/tex]
n = 1 , [tex]T_{1}=1^{2}+5*1+2=1+5+2 = 8[/tex]
n = 2 , [tex]T_{2}=2^{2}+5*2+2 = 4+10+2 = 16[/tex]
n= 3, [tex]T_{3} = 3^{2}+5*3+2=9+15+2 = 26[/tex]
If the spinner lands on green 10 times out of 60 spins, which statement is true?
The spinner lands on green 5 more times than expected.
The spinner lands on green 5 less times than expected.
The spinner lands on green 2 more times than expected
The spinner lands on green 2 less times than expected.
Answer: The spinner lands on green 5 less times than expected.
Step-by-step explanation:
Assuming the spinner has 4 colors, the chance of it landing on green will be 25%.
If there are 60 spins, the expected number of times it should land on green is;
= 60 * 25%
= 15 times
It only landed on green 10 times which is 5 less times than expected.
It cost Mr. Stu $315 for himself and 6 friends to have dinner. How much did it cost per person?
$52.50 per person
$45 per person
$23 per person
$63 per person
Answer:45
Step-by-step explanation:
Brian bought two shirts for $14.50 each and a pair for shoes for $29.99.the sales tax was 6%.how much did Brian spend?
Answer:
Brian spent 62.5294 $.
Step-by-step explanation:
The cost of two shirts = [tex]2\times \:14.5=29[/tex] $
The cost of 1 pair of shoes = [tex]1\times 29.99\:[/tex] = [tex]29.99[/tex] $
Adding the calculated costs = [tex]29+29.99=58.99[/tex] $Tax calculation:
[tex]\frac{6}{100}\times \:58.99=3.5394[/tex] $Now, adding calculated costs and tax calculation:
58.99$ + 3.5394$ = 62.5294 $
Therefore, Brian spent 62.5294 $.
a rock climber begins climbing at the altitude of 120 meters. she climbs at a rate of 25 meters per hour. which equation could be used to find the altitude of the rock climber, y, after x hours?
Answer:
The answer is y=25x+120.
Answer:
y
Step-by-step explanation:
The temperature of a cooling cup of coffee can be modelled by the equation
T = 90(0.94)", where T represents the temperature of the coffee and n is the
number of hours since it was poured. Explian what 90 and 0.94 represent in
this equation.
Answer:
See below
Step-by-step explanation:
I assume the " is n.
90 is your initial/starting temperature, in other words when n = 0 hours, the temperature will be 90.
The 0.94 part shows the rate of exponential decay.
A cylinder has a diameter of 18 centimeters. The length of the curved surface is
centimeters
Answer:
180πcm²
Step-by-step explanation:
The formula for calculating curved surface area of a cylinder is
CSA=2πrh
r I the radius= 18cm/2 = 9cm
Let the height be 19cm
CSA = 2π(9)(10)
CSA = 180πcm²
Hence the length of the curved surface area is 180πcm²
Note that the height of the cylinder was assumed
John commutes each day to work either by train or by bus. The bus pass costs 10$ plus 2$ per trip. The train costs 15$ plus 1.50$ per trip what is the most number John can make before the bus costs more than the train?
A) 9 trips
B) 15 trips
C) 11 trips
D) 13 trips
Answer:
a
Step-by-step explanation:
i plugged in each of the numbers to the equation
at 9 trips the bus costs 28 and train cost 25.5
Judith's family went on a cross-country trip. They drove exactly 232 miles a day for 12 days. How many miles did they drive?
696 miles
2,824
2,884
2,784 miles
Answer:
2,784 miles
Step-by-step explanation:
232*12=2,784
Determine if the two triangles are congruent if they are state which congruence theorem is used
Answer:
yes through ASA association
Can someone help me out ? ASAP
Answer:
Reflection
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
the triangle reflected across x axis
0.21 times 10 to the power of 6 standard form
Answer:
0.000000210 x 10^{6}=0.21
Which expression is equivalent to 4k+2k?
Answer:
it equals 6k but an equivalent expression could be 2k + 4k
Step-by-step explanation:
2k + 4k = 4k + 2k
Answer:
6k
Step-by-step explanation:
You can combine both of these terms because they both have the same variable (k). We know that 4+2=6, and the variable stays the same, 6k.
~theLocoCoco
Screen-printing a batch of shirts requires 3 minutes per shirt in addition to 19.87 minutes of initial set-up time. How long does it take to screen-print a batch of 143 shirts? Write and solve an equation to find the answer.
Answer:
So the equation and solution will be:
Total time taken = 3 × number of shirts + 19.87 min (setup time)
= 3 × 143 + 19.87
[tex]=429+19.87[/tex]
[tex]=448.87[/tex]
Step-by-step explanation:
From the question statement, it is clear that
screen-printing a batch of shirts requires 3 minutes per shirt in addition to 19.87 minutes of initial set-up time.we have to determine how long does it take to screen-print a batch of 143 shirts.
so the equation and solution will be:
Total time taken = 3 × number of shirts + 19.87 min (setup time)
= 3 × 143 + 19.87
[tex]=429+19.87[/tex]
[tex]=448.87[/tex] min
Enter in standard form (10 points)
Answer: sorry i just need points TWT