when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??
Answer:
1.94
Step-by-step explanation:
Let the number be x
So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,
now the number 3x is subtracted from its own square i guess it should look like this
[tex](3x)^2-3x[/tex]
and the answer is 28 so the final form of the problem should be
[tex](3x)^2-3x=28[/tex]
[tex]9x^{2} -3x-28=0[/tex]
now we solve the quadratic equation by using the quadratic formula and we two values for x
one is a positive value and the other is negative value we take the positive value as said in the question itself "when three times a number which is positive" so that value of x is 1.94
I really need help..
Thanks!
Hi if you can answer this i'll mark u brainllest
Im really bad at mathhh :(
Answer:
1.yes
2. yes, and yes [tex]\frac{4}{1}[/tex]
3. yes, its a whole number.
4.yes
5. whole, intenger, rational, real
Step-by-step explanation:
Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6
5
4
2
Answer:
2
Step-by-step explanation:
15 + 5 × 3
________
3² + 6
For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:
(15+15)/(9+6)
Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:
30/15
Finally, we divide 30/15 to get 2 as our answer
2
Write the product as a power.
10 X 10 X 10 =
Answer:
10^3
Step-by-step explanation:
Answer:
10^3
Step-by-step explanation:
count how many 10s are there and that is the answer
(there are 3 tens so put the power as 3)
To check 10 X 10 X 10 is 1000
10^3 is 1000
Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3
Answer:
the answer is A, x=2
Step-by-step explanation:
Question is on a picture
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex] {4}^{2} - ( { - 2}^{2} ) \\ 16 - 4 \\ 12[/tex]
A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.
Answer:
60 and 72
Step-by-step explanation:
We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72
Geometric
Anyone know the answer to this?
a. 6x2
b. 2x3
c. 5x2
d. 4x2
e. 5x1
Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%. What was the cost of the
backpack before tax?
Answer:
21.00
Step-by-step explanation:
21.00 I think (sorry if it wrong!!)
The cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%
Let x be the cost of the backpack before tax.
22.05(1 - 5%) = x
x = 22.05(1 - 0.05)
x = $20.94
Thus, the cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.
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Please answer this for me it’s due tonight!
Answer:
the answers are the first one and the third one.
A's slope is y = 5.75x + 3
B's slope is y = 5.5x + 4
What is the equation of the line that passes
through the points (4, -3) and (2, 3).
Answer:
24
Step-by-step explanation:
(4-3) + (23) = 24
9 and 10 only ...............
Answer:
19
Step-by-step explanation:
Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea. How many cups can holly fill?
Answer:
2 Cups
Step-by-step explanation:
Converting both fractions to have the same denominator, she has 6/10 of a quart, and each cup holds 3/10. Since she only has 6, 6/3 is 2.
The number of cups she can fill will be 2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea.
The number of cups will be calculated as follows:-
Number = ( 3 / 5 ) ÷ ( 3 / 10 )
Number = ( 3 / 5 ) ÷ ( 10 / 3 )
Number = 10 / 5 ) = 2
Therefore, the number of cups she can fill will be 2.
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In the first week of July, a record 1020 people went to the local swimming pool. In the second week,100 fewer people went to the pool than in the first week. In the third week,130 more people went to the pool than in the second week. In the fourth week,132 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer: 10%
Step-by-step explanation:
The following information can be gotten from the question regarding the number of people that went to the swimming pool are:
First week of July = 1020
Second week = 1020 - 100 = 920
Third week = 920 + 130 = 1050
Fourth week = 1050 - 132 = 918
The percentage decrease over the four weeks will be:
= (1020 - 918)/1020 × 100
= 102/1020 × 100
= 10%
while on vacation in washington Dc, the cab ride for the dulles airport to the hotel is 15 miles. the
While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.
Help pls idk how to do this idk if i will set it up right
Answer:
3(-10.5)
Step-by-step explanation:
Answer:
3(-10.5)
Step-by-step explanation:
The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *
Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
A bottle of water is 2/3
full. You drink 1/4
of the water. Use a model to find the portion of the bottle of water that you drink.
Answer:
1/6
Step-by-step explanation:
Total quantity of water = 2/3
Total quantity drank = 1/4
The portion of the water that you drank = 1/4 of 2/3
= 1/4 × 2/3
= 1*2 / 4*3
= 2 / 12
= 1 / 6
The portion of the water that you drank = 1/6
This means you drank one - sixth of the water in the bottle
Plz help with this problem
Answer:
A)2x+7
Step-by-step explanation:
-x+5+3x+2
2x+7
1 pound of a certain candy cost $8, how many pounds can be purchased for $12?
Answer:
1.5 pounds
Step-by-step explanation:
1 pound costs $8, $1 buys 1/8 pound
$12 buys 12/8=3/2=1.5 pounds
Answer:
12-8= 4
Step-by-step explanation:
one pound of it cost 8 dollars and he only has 12 so subtract 8 from 12 he only has enough to buy 1 pack.
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
I’ll give 10 points and brainliest
Answer:
Step-by-step explanation:
-(-2)^2 - (8(-2)-2(-3)) + 4(-3)
-4 -(-16 + 6) - 12
-4 - (-10) - 12
-4 + 10 - 12
6 - 12 = -6
A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800
Answer:
The minimum cost for the transportation for the field trip is $1700
Step-by-step explanation:
Let x be the no. of large buses and y be the no. of small buses
Number of students in large bus = 60
Number of students in x large buses = 60x
Cost of 1 large bus =$300
Cost of x large buses = 300x
Number of students in small bus = 45
Number of students in y small buses = 45y
Cost of 1 small bus =$200
Cost of y small buses = 200y
Cost = 300x+200y
We are given that A school district needs to arrange transportation for at least 360 students
[tex]60x+45y \geq 360[/tex]
The district only has chaperones for, at most, seven buses.
[tex]x+y \leq 7[/tex]
Plot the lines on graph
[tex]60x+45y \geq 360[/tex] --- Black region
[tex]x+y \leq 7[/tex] --- Red region
Feasible points :
At(3,4)
Cost = 300x+200y=300(3)+200(4)=1700
At(7,0)
Cost = 300x+200y=300(7)+200(0)=2100
At(6,0)
Cost = 300x+200y=300(6)+200(0)=1800
So, The minimum cost for the transportation for the field trip is $1700
Answer:
1700
Step-by-step explanation:
2020 edge
The temperatures in my town one week in December were 3°F, 10°F, 5°F, 18°F, 7°F, 3°F, and 3°F. What was the mean temperature that week?
Answer:
It was 3
Step-by-step explanation:
This is because its the one clóset to 0
I hope this help you out
Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?
Answer:
9 dollars
Step-by-step explanation:
It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.
I need help asap please
Answer:
(E) if im wrong don't sew meh
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
Mercury is the closest planet to the Sun, with an average distance of 35,000,000
miles.
It takes light about 3 minutes to travel from the Sun to Mercury.
Neptune is the farthest, with an average distance of 2.8 x 10 to the power of 9 miles from the Sun.
How many times farther from the Sun is Neptune than Mercury?
How long does it take light to reach neptune?
80 times farther from the Sun is Neptune than Mercury.
Given that, the distance between Mercury and Sun = 35,000,000 miles and the distance between Neptune and Sun = [tex]2.8\times10^9[/tex].
What is an average distance?An average distance is the average of the greatest and least distances of a celestial body from its primary.
Now, number of times farther from the Sun is Neptune than Mercury
= [tex]\frac{2.8\times10^9}{3.5\times10^7}[/tex]
=0.8×10²
=80
Time taken for light to reach Neptune = 3×80=240 minutes
=4 hours
Therefore, 80 times farther from the Sun is Neptune than Mercury.
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Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m∠5 + m∠2 + m∠6 = 180° Lines y and z are parallel. Triangle A B C sits between the 2 lines with point A on line y and points C and B on line z. Angle C A B is 2. Its exterior angle to the left is 1 and its exterior angle to the right is 3. Angle A B C is 6 and its exterior angle to the right is 7. Angle B C A is 5 and its exterior angle to the left is 4. Statements Reasons 1. ABC is a triangle 1. given 2. y ∥ z 2. given 3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 3. ? 4. m∠1 = m∠5; m∠3 = m∠6 4. def. ≅ 5. m∠1 + m∠2 + m∠3 = m∠LAM 5. ∠ addition postulate 6. m∠1 + m∠2 + m∠3 = 180° 6. def. Straight angle 7. m∠5 + m∠2 + m∠6 = 180° 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent
Answer:
The correct option is;
Alternate interior angles
Step-by-step explanation:
The m∠5 + m∠2 + m∠6 = 180° proof is given as follows;
Statement [tex]{}[/tex] Reason
1. ABC is a triangle [tex]{}[/tex] Given
2. y ║ z [tex]{}[/tex] Given
3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 Alternate interior angles
4. m∠1 = m∠5; m∠3 = m∠6 [tex]{}[/tex] Definition of (congruency) ≅
5. m∠1 + m∠2 + ∠3 = m∠LAM [tex]{}[/tex] ∠Addition postulate
6. m∠1 + m∠2 + ∠3 = 180° [tex]{}[/tex] Definition of straight angles
7. m∠5 + m∠2 + ∠6 = 180° [tex]{}[/tex] Substitution property
Step 3;
Given that line y is parallel to line z, we have that the transversal AB will make equal corresponding angles with the lines y and z, therefore, ∠6 will be equivalent to segment AB extended
Which gives, ∠6 is supplementary to ∠a where ∠a = ∠1 + ∠2
Therefore, given that ∠3 is also supplementary to ∠a where as we have above, ∠a = ∠1 + ∠2, we have that ∠3 = ∠6 and ∠3 ≅ ∠6 where ∠3 and ∠6 are alternate interior angles;
Similarly, ∠1 ≅ ∠5 by alternate interior angles of two parallel lines property.
Answer:
The answer is A. alternate interior angles are congruent
Step-by-step explanation:
I tried all my options and that one was correct.
Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane
finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to
purchase the laptop?
80
79
60
59
Answer:
59
Step-by-step explanation: x=number of hours
150+7.50x=595
7.50x=595-150
7.50x/7.50=445/7.50
x=59