Answer:
Question 1: She had $352 in her wallet
Question 2: The percent of the trout were the tiger trout is 45%
Step-by-step explanation:
Question 1:
∵ Carmen spent $88 at the mall
∵ The money she spent was 25% of the total amount she had in her wallet
→ Assume that the amount she had in her wallet is $x
∴ 25% of x = 88
→ Change 25% to decimal by divide it by 100
∵ 25% = [tex]\frac{25}{100}[/tex] = 0.25
∴ 0.25 × x = 88
∴ 0.25x = 88
→ Divide both sides by 0.25 to find x
∴ [tex]\frac{0.25x}{0.25}=\frac{88}{0.25}[/tex]
∴ x = 352
∵ x represents the total amount she had in her wallet
∴ She had $352 in her wallet
Question 2:
∵ Kendrick caught 22 rainbow trout and 18 tiger trout while fishing
last month
∴ The number of rainbow trout = 22
∴ The number of tiger trout = 18
→ To find the percent of tiger trout divide its number by the total number
of trout, then multiply the result by 100%
∵ The total number of the trout = 22 + 18 = 40
∴ The percent of the tiger trout = [tex]\frac{18}{40}[/tex] × 100%
∴ The percent of the tiger trout = 45%
∴ The percent of the trout were the tiger trout is 45%
g What is the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty?
Answer:
16Step-by-step explanation:
In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be A as shown;
Let set A = {a, b, c, d}
Power of the set P(A) = [tex]2^n[/tex] where:
n is the total number of element in the set. Since we have four elements in the set, n = 4
[tex]P(A) = 2^4\\P(A) = 16[/tex]
This means that the set A have 16 subsets. The subsets of the set are:
{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {b, c, d}. {a, c, d}, {a, b, c, d}.
From all the subsets, it can be seen that intersection of set {a} and {b}, {a} and {c}, {c} and {d} are empty.
Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16
2) Chicken soup is 3 cans for $0.55. How much would a
dozen soup cans cost?
Answer:
It would cost $2.20
Step-by-step explanation:
If 3 cans = $.55
then 3*4 = 12
soooo 4*.55 = 2.20
Hope this helps!!!
The sum of three consecutive odd integers is 18 less than five times the middle number fimd the three integers
Answer:
7, 9, 11
Step-by-step explanation:
x+x+2+x+4=5(x+2)-18
3x+6=5x+10-18
3x+6=5x+-8
3x=5x+-14
-2x=-14
x=7
−2(−1 1/4) Multiply. Write your answer as a fraction in simplest form.
Answer:
I want to say 2.5
Step-by-step explanation:
Sabendo-se que 9 174 532 x 13 = 119 268 916, pode-se concluir que é divisível por 13 o número:
a) 119 268 903
b) 119 268 907
c) 119 268 911
d) 119 268 913
e) 119 268 923
Answer:
A
Step-by-step explanation:
Sabendo que 119 268 916 é divisível por 13, o número 119 268 903 também é divisível por 13.
Isso ocorre porque a diferença entre um múltiplo de um número e o próximo múltiplo de um número é esse próprio número.
Portanto, para encontrar outros múltiplos que são divisíveis por 13 dado o resultado na pergunta, podemos adicionar múltiplos menores de 13 ou subtrair múltiplos menores de 13 do número.
O que estamos dizendo é que o número - 13 ou mesmo -26 ou +39 daria outro múltiplo de 13. O que estamos dizendo é que chegaremos a um número que é divisível por 13 do outro número dado que o número que estamos adicionando ou subtrair do número é um múltiplo de 13.
Agora vamos verificar as opções, podemos ver que a diferença entre o número e a opção é 13 que, claro, é um múltiplo de 13.
Esta é a razão pela qual o número é a nossa resposta.
the answer to the universe, life, and everything
Answer:
my life hurts now
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
GET A BOOK U MORON
Subtract -2x^2+4x-1−2x
2
+4x−1minus, 2, x, squared, plus, 4, x, minus, 1 from 6x^2+3x-96x
2
+3x−96, x, squared, plus, 3, x, minus, 9.
Your answer should be a polynomial in standard form.
Answer:
8x²- x -8
Step-by-step explanation:
The question is not well written. I guess what you mean is:
Subtract -2x^2+4x-1 ( minus 2x squared plus 4x minus 1) from 6x^2+3x-9 (6x squared plus 3x minus 9).
To subtract -2x^2+4x-1 from 6x^2+3x-9, that is
6x^2+3x-9 - (-2x^2+4x-1). This can be written as
6x²+3x-9 - (-2x²+4x-1)
Now, opening the bracket, we will get
6x²+3x-9 +2x²-4x+1
Then, collecting like terms, we get
6x²+2x²+3x-4x-9+1
6x²+2x² = 8x²
3x-4x = -x
-9+1 = -8
∴6x²+2x²+3x-4x-9+1 becomes
8x²-x -8
The answer is 8x²-x -8.
Simplified form of the polynomial :
8x²- x -8
Given(correct form of question):
Subtract -2x²+4x-1 ( minus 2x squared plus 4x minus 1) from 6x²+3x-9 (6x squared plus 3x minus 9).
Now,
To subtract -2x²+4x-1 from 6x²+3x-9, that is
6x²+3x-9 - (-2x²+4x-1). This can be written as
6x²+3x-9 - (-2x²+4x-1)
Now, opening the bracket, we will get
6x²+3x-9 +2x²-4x+1
Then, collecting like terms, we get
6x²+2x²+3x-4x-9+1
6x²+2x² = 8x²
3x-4x = -x
-9+1 = -8
∴6x²+2x²+3x-4x-9+1 becomes 8x²-x -8
Thus,
The answer is 8x²-x -8.
Learn more about polynomials,
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over a two hours time period, a snail moved 108 inches . how far is this in yards?
Answer:3 yards
Step-by-step explanation:
36 inches equals a yard so 36 Multiplied by 3 is 108 Therefore 3 yards
PLEASE HELP
Select the correct answer from each drop-down menu. Options are (equal to, not equal to)
Answer:
Not equal to.
Step-by-step explanation:
Real Numbers Quiz Active 1 2 3 4 Which answer describes the type of numbers that are dense? whole numbers and integers O whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer:
C. rational numbers and irrational numbers
Step-by-step explanation:
Rational numbers are those numbers that can be used to express the ratio of two whole numbers. An example is the figure 2. It can be expressed as a fraction of another number like when we write 2/8. Both figures are rational. Irrational numbers cannot be used to express the ratio of two whole numbers or integers. An example is a digit like 0.666666... Rational and irrational numbers are real numbers because real numbers encompass all the types of numbers we can think of, positive, negative, decimals, whole, etc.
The density of numbers is seen in the fact that there is no vacuum created between real numbers when plotted on the number line.
Which expression is equivalent to 27 + 15?
1) 3(24 + 12)
2) 319 + 5)
3) 9(3 + 15)
4) 9(18+ 6)
I will give brainliest! 2(6x+3)
Answer: 12x+6
Step-by-step explanation:
distributive property
Answer:
=12x + 6
Step-by-step explanation:
need help with this problem?
Paul split an inheritance between two investments, one paying 7% annual interest and the other 10%. He invested twice as much in the 10% investment as he did in the 7% investment. If his combined annual income from the two investments was $4050, how much did he inherit?
Graph the function.
y=-1/2(x+2)^2+3
what is another name for <2
Answer:
two, like: both, pair, couple, same, twain, bifurcate, bigeminal, binal, twin, dual and double.
Step-by-step explanation:
12. An object is fired from the top of a 200 ft. tower with an initial velocity of 80 ft/sec. and is
modeled by the equation h(t) = -16t^2+80t + 200.
a) How long after firing does it reach its maximum height?
b) What is the maximum height?
Answer:
a) The object reaches its maximum height at t=2.5 seconds
b) The maximum height is 300 m
Step-by-step explanation:
Maximum Value of a Function
First derivative criteria:
If f(t) is a real continuous function of t and the first derivative of f called f'(t) exists, then solving the equation:
f'(t)=0
Gives the critical points of f, some of which could be maximum or minimum.
Second derivative criteria:
If t=t1 is a critical point of f(t) and the second derivative of f:
f''(t1) is positive, then t1 is a minimum of f
f''(t1) is negative, then t1 is a maximum of f.
f''(t1)=0, no conclusion can be drawn.
The height of the object is modeled by the function:
[tex]h(t) = -16t^2+80t + 200[/tex]
a)
To find the maximum height, we use the above criteria.
Find the first derivative:
h'(t) = -32t+80
Equate h'(t)=0
-32t+80=0
Solve:
[tex]-32t=-80[/tex]
[tex]t=80/32=2.5[/tex]
t=2.5 seconds
Find the second derivative:
h''(t)=-32
Since the second derivative is negative, the critical point is a maximum.
The object reaches its maximum height at t=2.5 seconds
b) Evaluate h(2.5)
[tex]h(2.5) = -16\cdot 2.5^2+80\cdot 2.5 + 200[/tex]
[tex]h(2.5) = -100+200 + 200[/tex]
h(2.5)=300 m
The maximum height is 300 m
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 56 yd, find its area.
Answer:
147 yards
Step-by-step explanation:
Use a system of equations
Let x be length of rectangle and y be width of rectangle
x = 3y
2x + 2y = 56
Substitute x = 3y into second equation, we have 2(3y) + 2y = 56. Combine like terms and we have 8y = 56. y = 7.
Substituting y = 7 into the first equation, we have x = 3(7), and x = 21.
Area is length times width, so area is 21 * 7 = 147
Answer:
area= 147 yd
Step-by-step explanation:
l= 21 yd
w= 7 yd
Formula: a=lxw (area=length x width)
a=21 x 7
21 x 7=147 yd
T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.
Answer:
[tex]L = (-10,10)[/tex]
Step-by-step explanation:
Given
[tex]K = (2,-6)[/tex]
[tex]T = (-4,2)[/tex]
Required
Determine the coordinates of L
Since T is the midpoint of K and L, we make use of:
[tex]T_x = \frac{K_x + L_x}{2}[/tex]
and
[tex]T_y = \frac{K_y + L_y}{2}[/tex]
Solving for [tex]L_x[/tex]
[tex]T_x = \frac{K_x + L_x}{2}[/tex]
[tex]-4 = \frac{2 + L_x}{2}[/tex]
Multiply through by 2
[tex]-8 = 2 + L_x[/tex]
[tex]L_x = -8 - 2[/tex]
[tex]L_x = -10[/tex]
Solving for [tex]L_y[/tex]
[tex]T_y = \frac{K_y + L_y}{2}[/tex]
[tex]2 = \frac{-6+L_y}{2}[/tex]
Multiply through by 2
[tex]4 = -6 + L_y[/tex]
[tex]L_y = 4 + 6[/tex]
[tex]L_y = 10[/tex]
Hence: The coordinates of L is:
[tex]L = (-10,10)[/tex]
Pls help 8th grade math
FILL IN THE BLANKS !!
Please help me solve What is m
Answer:
a=60
b=85
c=35
Step-by-step explanation:
a is shown to be 60 in the text along with c being 85 with its angle so just add 60 and 85 to get 145 and fill in the remaining to get 180 which gives you c as 35
Is 18.18 rational or irrational
Answer:
Rational
Step-by-step explanation:
You are able to put 18.18 in a fraction.
Hope this helped, Have an AMAZING day/night!
Alex has to fill his 10 gallon fish tank with water. He only has a 1 pint bucket. How many times will he have to fill his bucket to fill the tank?????W
Answer:
80
Step-by-step explanation:
8 pints in a gallon so then you multiply 8 x 10 and get 80
Answer:
80
Step-by-step explanation:
1 gallon = 8 pints8 × 10 = 80I hope this helps!
Please help me I don’t get this
Sum of the interior angles of any triangle equal 180° .
Thus ;
[tex]x + 2x + x + 8 = 180[/tex]
[tex]4x + 8 = 180[/tex]
Subtract sides -8
[tex]4x + 8 - 8 = 180 - 8[/tex]
[tex]4x = 172[/tex]
Divided sides by 4
[tex] \frac{4}{4}x = \frac{172}{4} \\ [/tex]
[tex]x = 43[/tex]
So the angles are :
x = 43°
2x = 2 ( 43 ) = 86°
x + 8 = 43 + 8 = 51°
Thus the order from least to greatest ,
is : 43° , 51° , and 86°
_________________________________
And we're done.....♥️♥️♥️♥️♥️
POSSIBLE POINTS: 3.33
Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5
apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants to buy 16 pies for her
sisters and must buy as many chocolate pies as apple pies and banana pies combined.
How many of each item should she buy? Write a system of equations to help you solve
this problem.
# of applie pies =
# of banana pies =
# of chocolate piles =
1
2 3
Answer:
From the information given, you can write the following system of equations:
x+y+z=16 (1)
5x+4.5y+5.5z=82 (2)
z=x+y (3)
You can replace (3) in (1) and (2):
x+y+x+y=16
2x+2y=16 (4)
5x+4.5y+5.5(x+y)=82
5x+4.5y+5.5x+5.5y=82
10.5x+10y=82 (5)
Now, you have the following equations:
2x+2y=16 (4)
10.5x+10y=82 (5)
You can isolate x in (4):
2x=16-2y
x=8-y (6)
Then, you have to replace (6) in (5):
10.5(8-y)+10y=82
84-10.5y+10y=82
84-82=10.5y-10y
2=0.5y
y=2/0.5
y=4
Now, you can replace the value of y in (6) to find x:
x=8-4
x=4
Finally, you can replace the vaue of x and y in (3) to find z:
z=4+4
z=8
According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.
Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?
Answer:
Each pupil get 6 sheet
Step-by-step explanation:
Given:
Number of green sheet = 36
Number of blue sheet = 42
Find:
Common factor
Computation:
36 = 6 x 6
42 = 6 x 7
So, 6 is a common factor
Each pupil get 6 sheet
Each student should get 6 papers
The lowest common multiple is the smallest factor of a set of numbers.
The highest common factor is the biggest factor of a set of numbers.
A multiple of a number is a number that can divide another number without a remainder.
Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
The common factors of both numbers are : 1,2,3,6
Each student should get 6 papers
To learn more about highest common factor, please check: https://brainly.com/question/18650233?referrer=searchResults
Susan is buying supplies for a party. Spoons only come in bags of 12 and forks only come in bags of 22.
What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?.
Answer:
The least number of spoons = 11 spoons
The least number of forks = 6 forks
Step-by-step explanation:
We are told in the question:
Spoons only come in bags of 12
Forks only come in bags of 22.
This is an LCM question, hence, we find the Multiples of 12 and 22
The first common multiple is found and this is the lowest common multiple.
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176
Therefore,
LCM(12, 22) = 132
The least number of supplies she can have is 132.
So therefore,
The least number of spoons = 132 ÷ 12 bags of spoons = 11 spoons
The least number of forks = 132 ÷ 22 bags of forks = 6 spoons.
7. Which statements about the values of 2.044
and 20.44 are true?
Answer:
20.44>2.044
Step-by-step explanation:
A short quiz has two true-false questions and one multiple-choice question with four possible answers. A student guesses at each question. Assuming the choices are all equally likely and the questions are independent of each other, the following is the probability distribution of the number of answers guessed correctly. What is the Probability of two or more questions right? X 0 1 2 3 P(X) .1875 .4375 .3125 .0625
Answer:
[tex]P(X\geq 2) = 0.375[/tex]
Step-by-step explanation:
Given
X ------0 --------1 -------- 2--------- 3
P(X) --.1875 -.4375 ---.3125 --- .0625
Required
Determine [tex]P(X\geq 2)[/tex]
This is calculated as:
[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]
[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]
[tex]P(X\geq 2) = 0.375[/tex]
Solve the inequality for x:
8 + 4(x - 3) + 3x < 24
Answer:
7x - 4 < 24
Step-by-step explanation:
8 + 4x - 12 + 3x < 24
3x + 4x - 12 + 8 < 24
7x - 4 < 24
Hope this helps!
Have a nice day!
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Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
8 + 4x - 12 + 3x < 24
3x + 4x - 12 + 8 < 24
7x - 4 < 24
Step-by-step explanation: