Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
At the school carnival, the soccer team sold hamburgers and hot dogs. A person buying one hamburger and one hot dog will spend $17.65. The soccer team sold 22 hamburgers and 39 hot dogs and made $511.55. How much does each item cost?
A. hamburger:$7.25, hot dog: $10.40
B. hamburger: $8.39, hot dog: $8.39
C. hamburger: $8.83, hot dog: $8.82
D. hamburger: $10.40, hot dog: $7.25
The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
At the school carnival, the soccer team sold hamburgers and hot dogs. A person buying one hamburger and one hot dog will spend $17.65. The soccer team sold 22 hamburgers and 39 hot dogs and made $511.55.
Let x be the cost of hamburgers and y be the cost of hot dogs. Then the equation will be
x + y = 17.65 ...1
22x + 39y = 511.55 ...2
Solve the equations, then we have
22(17.65 - y) + 39y = 511.55
388.3 - 22y + 39y = 511.55
17y = 123.25
y = $7.25
Then the value of x will be
x + 7.25 = 17.65
x = 17.65 - 7.25
x = $10.40
The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
2(-3+7h)-4x use h=9 and x=2
Answer:
112
Step-by-step explanation:
2(-3+63)-4(2)
112
Answer:
I think that it is 112
Step-by-step explanation:
Hope this helped have an amazing day!
I WILL GIVE BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE
Answer:
D. All real numbers
*BRAINIEST & 15 POINTS*
* MULTIPLE CHOICE*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Isosceles right
Step-by-step explanation:
It's a right triangle because one of the angles is 90 degrees
It's isosceles because two sides are 5.57
Number Eight: Simplify
Answer
dookie but
Step-by-step explanation:
dookie in my dookie x 3 = dookie
Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1
If the slope is greater than one, it would have a positive slope and it is moving vertically up the y axis.
If the slope is equal to one, Guessing that the y axis is counting by 1 you could tell the slope is 1 by looking to see if first, it is moving positively up the y axis or look at what points it is intersecting. If it's counting every 1 point (For example) If the start of the slope began on the origin (0, 0) than it should count (0, 0) - (1, 1) - (2, 2) - (3, 3) etc..
Now the more "confusing" one. if the slope is less than one it can be a flat line on the graph. Not negative nor positive, Its neutral. You can also tell if its positive if it is moving down the graph, Negatively. or if it is moving into a different quadrant from. (0, 0)
The different fonts are the different answers, i hope this helped.
Answer ANd ILL GIVE BRAINLIEST first both of them tho or ill take it down sorry
Answer:
y=2.50x+500
x= number of calenders
y= total cost
Cameron can make 1150 calanders
9. y=5x
Step-by-step explanation:
2.5 x 1150 + 500 =3375
A supplier of digital memory cards claims that less than 1% of the cards are defective. In a random sample of600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that less than 1% are defective. Use the p-value method.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 600[/tex]
The population proportion of defective samples is p = 0.01
The sample proportion of defective samples is [tex]\^ p = 0.03[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : p = 0.01[/tex]
The alternative hypothesis is [tex]H_a: p < 0.01[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\^ p - p }{ \sqrt{ \frac{p( 1 - p )}{n} } }[/tex]
=> [tex]t = \frac{0.03 - 0.01 }{ \sqrt{ \frac{0.01( 1 - 0.01 )}{600} } }[/tex]
=> [tex]t = 0.00406[/tex]
From the z table the area under the normal curve to the left corresponding to 0.00406 is
[tex]p-value = P(Z < 0.00406 ) = 0.50162[/tex]
comparing the p-valve and the level of significance we see that the
[tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
PLS HELP ASAP
Choose the (factored) form of the given equation.
6 x2 + 2 x - 8 = 0
1. (6 x - 8)( x + 1) = 0
2. (6 x + 8)( x - 1) = 0
3. (6 x + 1)( x - 8) = 0
Answer:
1,=(6x-8)(x+1)
=6x²+6x-8x-8
=6x²-2x-8
2,=(6x+8)(x-1)
=6x²-6x+8x-8
=6x²+2x-8
3,=(6x+1)(x-8)
=6x²-42x+x-8
=6x²-41x-8
Answer:
second option
Step-by-step explanation:
Expand the factors using FOIL
1
(6x - 8)(x + 1) = 0
6x² - 2x - 8 = 0 ≠ 6x² + 2x - 8
2
(6x + 8)(x - 1) = 0
6x² + 2x - 8 = 0 ← True
3
(6x + 1)(x - 8)
= 6x² - 47x - 8 = 0 ≠ 6x² + 2x - 8 = 0
Thus the factored form is
6x² + 2x - 8 = 0
(6x + 8)(x - 1) = 0 → second option
What value of x is in the solution set of 2(3x – 1) > 4x – 6?
It could only be the following :
A. -10
B. -5
C. -1
D. -3
Answer:
-1
Step-by-step explanation:
Given the equation :
2(3x – 1) > 4x – 6
Open the bracket :
6x - 2 > 4x - 6
Collect like terms
6x - 4x > - 6 + 2
2x > - 4
Divide both sides by 2
2x /2 > - 4/2
x > - 2
Since x > - 2
-10, - 5, - 3 are all < - 2
Hence, the only option greater than - 2 is - 1
NEED HELP!!! Can someone help me with 5, 7, and 8???
Need this asap!!!
THANK YOU!!!
Answer:
5) 8/17 = .471
7) 8/17 = .471
8) 15/17 = .88
Step-by-step explanation:
hope that helps
Answer:
5. [tex]\frac{\sqrt{2} }{2}[/tex]
7. [tex]\frac{\sqrt{2} }{2}[/tex]
8.[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
angles in a triangle equal 180 degrees. it is a right angle triangle so one angle is 90 degrees. both the other two are 45 each
5. cos(d)=cos(45)
7. sin(f)=sin(45)
8.cos(f)=cos(45)
1995. Were 57 million cats as pets in the U.S. By 2003this number was 61 millionWrite a linea model for the number of cats as pets. Then use the model to predict the number of cats as pets in 2015
Answer:
Cats as pet in 2015 = 6 million
Step-by-step explanation:
Given:
Cats as pet in 1995 = 57 million
Cats as pet in 2003 = 61 million
Find:
Cats as pet in 2015
Computation:
Difference in year = 2003 - 1995
Difference in year = 8 year
Difference in year = 2015 - 2003
Difference in year = 2015 - 2003
Difference in year = 12 year
Difference in number = 61 - 57
Difference in number = 4 million
So,
Cats as pet in 2015 = 4 million x [12/8]
Cats as pet in 2015 = 6 million
ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0
Answer:
Step-by-step explanation:a or b ?
Is this correct please some one
Answer:
Yes this is right (Hope this helps)
Step-by-step explanation:
(Brainliest)
PLEASE ASAP, DONT LIE ABOUT THE ANSWER, I'LL KNOW.
Answer:
The answer is graph b
Step-by-step explanation:
If you look at the other graphs closely, you'll find that they are wrong because they are not in correlation with the inequalities given
I hope it helps
Chuck and Holly are saving money to buy a car. Chuck has $500 already and is going to save $100 a month. Holly has $1000 and plans on saving $50 a month. In the space to the left, write an equation that shows when Chuck and Holly will have the same amount of money. What is the equation
Answer:
10 months
Step-by-step explanation:
Step one
Given
Chuck has $500
Chuckle wants to save $100 monthly
Let the number of months be x
And the total be y
So
Y=500+100x--------1
Holy has $500
Chuckle wants to save $500 monthly
Let the number of months be x
And the total be y
So
Y=1000+50x--------2
Equate 1 and 2
500+100x=1000+50x
1000-500=100x-50x
500=50x
x=500/50
x=10
i need help, can you please help me?
Answer:
Y= 2/4x + -3
Step-by-step explanation:
Adam is going to make concerte He Is going to use 180kg of cement 375kg of sand 1090kg of stone Cement, sand, stones are sold in bags: 1 bag cement is 25kg 1 bag sand is 22.5kg 1 bag stone is 50kg Adam already has 8 bags of cement 19 bags of sand 29 bags of stones Work out what bags he needs to buy to make the concrete. Working must be shown
Answer:
The answer is "90 kg stone ".
Step-by-step explanation:
Adam's got:
[tex]\to 8 \times 25 = 200 \\\\\to 19 \times 22.5 = 427.5 \\\\\to 20 \times 50 = 1000 \\\\[/tex]
He's got enough sand and cement
The stone value:
[tex]\to 1090-1000 = 90 \ kg[/tex]
He has 2 stone bags.
Mae earns a weekly salary of $330 plus a commission of 6.0% on a sales gift shop.How much would she make if she sold $4300 worth of merchandise?
Answer:
Total income = $588
Step-by-step explanation:
Given:
Weekly salary = $330
Commission = 6%
Total sales = $4,300
Find:
Total income
Computation:
Total commission = $4,300 x 6%
Total commission = $258
Total income = Weekly salary + Total commission
Total income = $330 + $258
Total income = $588
What best describes the expression 6 over y? (1 point)
A. 6 times some number
B. 6 divided by some number
C. 6 minus some number
D. 6 more than some number
Brainliest goes to the first answer, thank you!
What is the check digit(d) for the UPC bar code
7-25272-73070-d
A)8
B)3
C)4
D)2
What is the range of the function graphed below?
Answer:
__________-3<Y<4______________
15
Solve for x in isosceles triangle JMN.
M
Uw
2x + 5
3x - 9
J
N
X-2
Answer:
31
Step-by-step explanation:
2x+5+3x-9+x-2=180
or, 6x-6=180
or, 6x=180+6
or, x=186/6
or, x=31
please mark me as brainliest
Please help me and explain to me!
Step-by-step explanation:
use phytagoras theorem to find the length of broken post
[tex] \sqrt{ {7}^{2} } + {10}^{2} [/tex]
[tex] \sqrt{49 + 100} [/tex]
[tex] \sqrt{149} [/tex]
[tex] = 12.2[/tex]
add the broken post with the standing
= 7 + 12.2
=19.2
farmer john started with some umpts on his farm after 7 weeks he had 91 after 15 weeks he had 139
find the rate of change and the starting amount
Answer:
13
Step-by-step explanation:
What is expanded form of 7425
Plz Answer
Answer:
Expanded Notation: 7,425=7,000+400+20+5
Expanded Factors: 7,425=7*1,000+4*100+2*10+5*1
Expanded Exponential: 7,425 =7 × 103+4 × 102+2 × 101+5 × 100
Word: seven thousand four hundred twenty-five
Step-by-step explanation:
Hope this helped, Have a Wonderful Day/Night!!
can u explain the answer of c)ii)
plss:(
Answer:
i) The probability of getting 50 cent coin is 5/18, or approximately 28%
ii) To scale the numbers up to let us have 65 fifty cent coins, there would be a total of 234 coins
Step-by-step explanation:
We are told the probability of choosing ten and 20 cent coins, and from that we can work out the probability for the 50 cent coin. All we need to do is add up the other two probabilities and subtract them from 1.
[tex]p = 1 - (\frac{1}{3} + \frac{7}{18})\\p = 1 - (\frac{6}{18} + \frac{7}{18})\\p = 1 - \frac{13}{18}\\p = \frac{5}{18}\\[/tex]
So the chance of getting a 50 cent coin is five eighteenths, or approximately 28%
For the second question We are asked to find the total number of coins if there are 65 fifty cent coins. (I can't see the text below that, but presumably it's saying that the ratios will stay the same).
We can solve this by comparing the two ratios, with x as the total, and solving for x:
[tex]\frac{5}{18} = \frac{65}{x}\\5x = 65 * 18\\x = 13 * 18\\x = 234[/tex]
So to keep the same ratios and have 65 fifty cent coins, we would need a total of 234 coins.
[tex]4x {}^{2} = x {}^{2} + 4[/tex]
Answer:
x = 1.155
x = -1.155
Step-by-step explanation:
4x² = x² + 4
i) move variable to the left-hand side and change its sign4x² - x² = 4
ii) collect like terms3x² = 4
iii) divide both sides of the equation by 3[tex] \frac{ {3x}^{2} }{3} = \frac{4}{3} [/tex]
[tex] {x}^{2} = \frac{4}{3} [/tex]
iv) take the square root to the opposite side of the equation and remember to use positive and negative roots[tex]x = + - \sqrt{ \frac{4}{ 3} } [/tex]
v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign[tex]x = \sqrt{ \frac{4}{3} } \: or \: 1.155[/tex]
[tex]x = - \sqrt{ \frac{4}{3} } \: or - 1.155[/tex]
Please answer ASAP will mark brainliest. If a reflection leaves a point unchanged, which of the following must
be true (select all that apply):
1 The line of reflection must have a slope of 0.
2. The point must be the origin.
3. The line of reflection has a slope of 1.
4. The point lies on the line of reflection.
Answer:
4
Step-by-step explanation:
Jonah and his sister are going to the amusement park. They each purchase 2 tickets at $1.25 each. Then, they each get a soda for $3.50 a piece. How much did they spend all together?
Answer:
$12.00 all together.
Step-by-step explanation:
there is only 2 people him and his sister.
They both purchase 2 ticket for $1.25
so 4 tickets all together
1.25x4=$5
They they both get one soda for $3.50
$3.50+$3.50=$7
$7+$5=12
So they spent $12