Adult tickets that were sold were 210 .
Let the no. of children be x and no. of adults be y .
According to ques .
x + y = 385 - eq 1
4 x + 6 y = 1960 - eq 2
Solving linear equation in 2 variable by method of substitution ,
multiply - eq 1 by 4 ,
4 x + 4 y = 1540 - eq 3
multiplying - eq 3 by - 1
- 4 x - 4 y = - 1540 - eq 4
Adding - eq 2 and - eq 4
2 y = 420
y = 210
Hence , 210 adult tickets were sold .
To learn more on linear equations follow link :
https://brainly.com/question/12788590
$SPJ4
Damian has 2 rolls of ribbon. He has 63 m of pink ribbon and 105 m of green ribbon. He wants to cut all of the ribbon into smaller pieces of equal length, with no ribbon left over. Work out the greatest possible length that Damian could make the smaller pieces of ribbon. Give your answer in metres (m).
Damian should cut the ribbons into pieces of 21 meters.
What is the largest length in which Damian could cut the ribbon?
To answer this, we need to find the maximum common factor between the two lengths of ribbon, which are 63 and 105.
If we rewrite both of these numbers as a product between prime factors we get.
63 = 3*3*7
105 = 3*5*7
Then the maximum common factor between these two numbers is 3*7 = 21
Then we conclude that Damian should cut the ribbons into pieces of 21 meters.
If you want to learn more about common factors:
https://brainly.com/question/219464
#SPJ1
Solve each equation. Check your answers. 2 ln x+3 ln 4=4
On solving the logarithmic function, 2 ln x+3 ln 4=4, we get value of x as is x = √e⁴ - 63.
What is the logarithm function ?In mathematics, the opposite of exponentiation is the logarithm. This means that the logarithm of a given number, base b, represents the exponent to which that number must be increased in order to get a certain number, x.
Given equation is -
2 ln x + 3 ln 4=4
⇒ ln x² + ln 4³ = 4
⇒ ln (x² + 4³) = 4
⇒ taking e
⇒ log e(x² + 4³) = 4
⇒ e⁴ = x² + 4³
⇒ e⁴ = x² + 63
⇒ x = √e⁴ - 63
To learn more about logarithmic function from given link
https://brainly.com/question/2499600
#SPJ4
Kari has a mass of thirty-eight and
ninety-seven hundredths kilograms.
What is her mass in standard form?
Answer:
38.97 kilograms
Step-by-step explanation:
38 ones and 97 hundredths
38 0.97
38.97
eighty students are going on a field trip to a history museum. The total cost includes 2 bus rentals and $10 per student for lunch. Write and evaluate a numerical expression to find the total cost per student for the field trip.
Find the slope-intercept form of the equation of the line that passes through the points
(2, -1) and (-3, 4)
Answer:
-1
Step-by-step explanation:
Use slope formula.
y2-y1/x2-x1
(2, -1) and (-3, 4)
4+1/-3-2=
=5/-5=-1
The slope is -1. The line is slanted down from left to right.
Hope this helps!
Please mark as brainliest if correct!
Answer:
y = - x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 1 ) and (x₂, y₂ ) = (- 3, 4 )
m = [tex]\frac{4-(-1)}{-3-2}[/tex] = [tex]\frac{4+1}{-5}[/tex] = [tex]\frac{5}{-5}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 3, 4 )
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - x + 1 ← equation of line
What is the value of test_val after the following code is executed? a = 12 test_val = 6 if a * 2 == test_val: a = a 7 else: test_val = 2 * a test_val = a 1
The value of test_val after the following code is executed is: 13.
What is Python?Python can be defined as a high-level programming language that is designed and developed to build websites and software applications, especially through the use of dynamic commands (codes or semantics) and data structures.
What is a variable?A variable can be defined as a specific name which refers to a location in computer memory and it is typically used for storing a value such as an integer or string.
Based on the given Python code, we have:
if a * 2 == test_val:
if 12 * 2 ≠ 6:
Therefore, we have:
test_ val = a + 1
test_ val = 12 + 1
test_ val = 13.
Read more on Python programming here: brainly.com/question/26497128
#SPJ1
Evaluate each expression for x=-2,0 , and 2 .
-(3)⁰.⁵x}
The result of the expression -(3)⁰.⁵x for x = -2 is 3.4, for x = 0 is 0 and for x = 2 is - 3.4
The question states to evaluate the given expression, that is, -(3) ⁰.⁵ x for the given values of x, that are, x = -2, x = 0, and x = 2.
This question can be easily solved by using the concept of substitution. We have to substitute the given values of x in the given expression one after the other and note the answer.
For x = -2.
we get, -(3) ⁰.⁵ ( - 2) = - 1.7 * (-2) = 3.4
For x = 0.
we get, -(3) ⁰.⁵ ( 0 ) = - 1.7 * ( 0 ) = 0
For x = 2.
we get, -(3) ⁰.⁵ ( 2 ) = - 1.7 * ( 2 ) = - 3.4
Therefore, we get the result of the expression -(3)⁰.⁵ x for x = -2 as 3.4, for x = 0 as 0 and for x = 2 as - 3.4
Learn more about Substitution here:
https://brainly.com/question/16609931?referrer=searchResults
#SPJ9
Please help! Ty very much!
A box of breakfast cereal contains 432 grams and 16 servings. How many grams are in one serving?
one serving is 432/19=27
27g are in one serving
You put 7 tiles with the letters A through G into a bag. You reach in without looking and
pull out 3 tiles and place them in a row. What is the probability that they spell BAG?
Express your answer as a decimal rounded to the nearest thousandth.
Having 7 tiles named A to G in a bag and picking 3 of them have the probability that they'll spell BAG is 0.0050.
What is probability ?Probability is the chance of occurring a certain event out of the total possible events that can occur in a given scenario.
According to the given question you put 7 tiles with the letters A through G into a bag.
Total no. of sample space N(S) = 7.
∴ The probability of getting getting B named tile P(B) is = 1/7.
Now as we are not replacing the tiles there are 6 tiles now so probability of getting A named tile P(A) = 1/6 and in the same way probability of getting G named tile is P(G) = 1/5.
∴ The probability that they will spell BAG P(BAG) is = (1/7)×(1/6)×(1/5) = 0.0050.
learn more about probability here :
https://brainly.com/question/9793303
#SPJ1
If anyone does this I will give 25 points and rate u on the thing please help me I have a hour until it’s due
Answer:
x=-9 , x=-8 , x=15 , x=-13 , x=3 , x=-4 , x=5 , x=6 , x=-24 , x=-7 , x=-16
Step-by-step explanation:
(f) Belinda buys a flat screen plasma television costing R20 000 on hire purchase. She traded in an old television for R3 000 and paid a deposit of R 2000. The balance was paid by means of monthly instalments of R900 over two years. Calculate the total simple interest paid and the rate of simple interest.
The total simple interest paid by her is R6,600 and the rate of simple interest is 22%.
Given that
Belinda buys a flat screen plasma television costing R20 000 on hire purchase.She traded in an old television for R3 000 and paid a deposit of R 2000.The balance was paid by means of monthly instalments of R900 over two years.To find
Simple interest paid and Rate of simple interest.So, according to the question
We have,
Cost of television = R20,000 Selling price of old television = R3,000Deposit by her = R 2,000.After trading in and depositing, the balance was as follows:
= Cost of television - Selling price of old television - Deposit by her
= 20,000 - 3,000 - 2,000
= R15,000
The total simple interest paid by her in 2 years:
= (900 x 2 x 12months) - 15,000
= R6,600
The rate of simple interest given by her in 2 years:
= (6,600 / 2 years) / 15,000
= 22%
The total simple interest paid by her is R6,600 and the rate of simple interest is 22%.
To learn more about simple interest, please click on the link:
https://brainly.com/question/28419679
#SPJ9
Choose the phrase that best completes the sentence.
When you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is-
1. an integer
2. irrational number
3. rational number
4. an odd number
When you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is: 2. irrational number.
The types of numbers.In Mathematics, there are six (6) common types of numbers and these include the following:
Natural (counting) numbersWhole numbersRational numbersIrrational numbersReal numbersIntegersWhat is an irrational number?An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 11.
In conclusion, when you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is an irrational number.
Read more on irrational number here: https://brainly.com/question/20400557
#SPJ1
-4|6b-8|<12 pls help so confused
Answer:
b > 5/6 or b < 11/6
Step-by-step explanation:
1. Divide both sides by -4
[tex]\dfrac{-4(|6b-8|)}{-4} < \dfrac{12}{-4}[/tex]
2. Simplify above
[tex]|6b-8| > -3[/tex]
3. The absolute value of an expression means that the expression can be positive or negative
Here | | represents the absolute value of 6b-8
For an absolute value to satisfy the above inequality
either 6b - 8 > -3 or 6b - 8 < - (-3)
(This follows from the fact that if |x| > -a, x > -a
or x < -(-a) ) which is the same as x < a
First case: 6b - 8 > -3:
6b - 8 + 8 > -3 + 8 ( Add 8 to both sides)
==> 6b > 5
==> 6b/6 > 5/6 (Divide both sides by 6)
==> b > 5/6
Second case: 6b - 8 < 3
6b −8 + 8 <3 + 8 (Add 8 to both sides)
==> 6b<11
==> 6b/6 < 11/6 (Divide both sides by 6)
==> b < 11/6
ROSIE IS MY FAVORITE DOG
Answer:
A. Shawn's Poster
Step-by-step explanation:
It uses perimeter, and the formula is L*W.
Christie hiked 1/4 and Jackie hiked 3/5 MORE. More means Subtraction so it would be [tex]\frac{3}{5} -\frac{1}{4}[/tex]
Same thing for the other two. They represent subtraction because of their keywords. Here is a list below of what you need to look for, for each control (+,-,x,÷)
Hope this helps
~R3VO
Two lines are parallel, and one line has a slope of 6. What is the slope of the other line ?
Answer:
Parallel lines have the same slope, so the slope of the other line is also 1/6
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the other line is also 1/6
True or false. any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by two and five?
Can someone please help me with this??
The equation of the circle with center at (-1, 5) and passes through the point (2, 9) is equal to (x + 1)² + (y - 5)² = 25.
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.Next, we would determine the length of the radius (r) by using the distance formula. Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substituting the given parameters into the formula, we have;
Radius = √[(2 - (-1))² + (9 - 5)²]
Radius = √[(2 + 1)² + (4)²]
Radius = √[3² + 4²]
Radius = √[9 + 16]
Radius = √25
Radius = 5 units.
For the equation of a circle, we have:
(x - h)² + (y - k)² = r²
(x - (-1))² + (y - 5)² = 25
(x + 1)² + (y - 5)² = 25
Read more on equation of a circle here: https://brainly.com/question/24307696
#SPJ1
Complete Question:
Write the equation of the circle with center at (-1, 5) and passes through the point (2, 9).
. Vocabulary How do you find the multiplicative inverse of
a number? Give an example of a number and its multiplicative
inverse.
The multiplicative inverse of a number is a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'a' is denoted by a-1 or 1/a. In other words, when the product of two numbers is 1, they are said to be multiplicative inverses of each other. The multiplicative inverse of a number is defined as the division of 1 by that number. It is also called the reciprocal of the number. The multiplicative inverse formula says that the product of a number and its reciprocal is 1.
There are various types of numbers like natural numbers, fractions, unit fractions, negative numbers, etc. Let us understand the multiplicative inverse formula for each type of number.
Natural numbers are counting numbers starting from 1. The multiplicative inverse of a natural number a is 1/a.
Multiplicative Inverse of Integers
Finding the multiplicative inverse of positive integers is the same as natural numbers (explained above). Just like positive integers, the product of a negative number and its reciprocal must be equal to 1. Thus, the multiplicative inverse of any negative number is its reciprocal. For example, (-6) × (-1/6) = 1, therefore, the multiplicative inverse of -6 is -1/6. Note that the multiplicative inverse of a negative number is always negative. And, in the multiplicative inverse of a negative integer, the negative sign will attach to the numerator, and not with the denominator.
How to Find Multiplicative Inverse of a number :
The multiplicative inverse of a number is also known as its reciprocal. It is very easy to find the multiplicative inverse of a number using the following steps:
Step 1: Divide the given number by 1.
Step 2: Write it in the form of a fraction. Say, the reciprocal of a is 1/a.
Step 3: Simplify and get the answer.
Let us find the multiplicative inverse of 2/3. The first step is to divide it by 1, which will result in 1/(2/3) = 3/2. Therefore, the reciprocal of 2/3 is 3/2.
learn more about multiplicative inverse of
a number here : brainly.com/question/13663199
SPJ9
Write each expression as a single natural logarithm. ln 24- ln 6
Expression as a single natural logarithm is 1.38629436112
What is natural logarithm?ln 24- ln 6
ln(24/6)
ln 4 = 1.38629436112
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
To learn more about natural logarithm from the given link:
brainly.com/question/20785664
#SPJ4
brainliest +40 points!! help
What values of x and y satisfy the system of equations {x=−2y+13x+8y=11?
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475), enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
Answer: Y= -2/-18 or Y= 0.1111X=-2(-0.1111) +1or X=0.77778
Step-by-step explanation:
Let u= (-1,3), v=(2 , 4) , and w=(2,-5) . Find the component forms of the following vectors. (3/2)v
Given u = (-1, 3), v = ( 2, 4) , and w = (2, -5), by applying scalar multiplication of vectors, ³/₂ v = (3, 6)
In the 2D coordinate system, vectors can be split into x-component and y-component.
We can write, for example, a vector s = (4,–1), which means:
x-component = 4
y-component = –1
Some vector operations:
Addition / subtraction of vectors: Just add or subtract the corresponding components.In the given problem:
u = (-1, 3), v = ( 2, 4) , and w = (2, -5)
Then,
³/₂ v = ³/₂ . (2, 4)
= ( ³/₂ . 2, ³/₂ . 4)
=(3, 6)
Learn more about operations on vectors here:
https://brainly.com/question/13592198
#SPJ4
Evaluate 1.2(3x+2y) if x=4 and y=-4
Answer:
24
Step-by-step explanation:
1.2(3x+2y)
add in our X and Y number
1.2(3(4) + 2(4))
Do the multiplication
1.2(12 + 8)
Distribute 1.2
14.4 + 9.6
add them together and you get
24
6. The table shows the volume of water in
cubic meters, V, in a tank after water has
been pumped out for a certain number of
minutes.
Which equation could represent the
volume of water in cubic meters after t
minutes of water being pumped out?
A. V = 30-2.5t
B. V = 30-0.5t
C. V = 30-0.51²
D. V = 30-0.11²
The correct option is D. V = 30-0.1t² ; represents the the volume of water in m³ after t minutes of pumping.
What is defined as the volume of water?Volume is a measurement of how much space an object occupies. Whenever a cylinder is immersed in water, it pushes water away. The volume of water pushed out of way can be calculated by measuring the amount this same water level rises.For the given question;
The values for the time of pumping and the volume of water is given;
use them to find the equation which represents their relation.
when, time t = 5
put the values in the options.
a. V = 30 - 2.5 × 5 = 17.5 .....(wrong)
b. V=30 - 0.5 × 5 = 27.5 .....(correct)
c. V = 30 - 0.5 × 25 = 17.5 ......(wrong)
d. V = 30 - 0.1 × 25 = 27.5 ........(correct)
Now, check at time t = 10 just for the correct value.
b. V = 30 - 0.5 × 10 = 25 .....incorrect
d. V = 30 - 0.1 × 100 = 20 ......correct
Therefore, the relation of the water pumped with time is given by the relation; V = 30-0.1t².
To know more about the volume of water, here
https://brainly.com/question/24287144
#SPJ9
The complete question is-
The table shows the volume of water in cubic meters, V, in a tank after water has been pumped out for a certain number of minutes.
Which equation could represent the volume of water in cubic meters after t minutes of water being pumped out?
A. V = 30-2.5t
B. V = 30-0.5t
C. V = 30-0.5t²
D. V = 30-0.1t²
Find the inverse of each function. Is the inverse a function? f(x)=∛x/3
The inverse for the function f (x) = ∛x / 3 will be f ⁻¹ (x) = 3 x³.
We are given the function:
f (x) = ∛x / 3
we need to find the inverse of the function.
First we will write the function in the form of x.
y = ∛x / 3
y³ = x / 3
3 y³ = x
x = 3 y³
So, the inverse function will be:
f ⁻¹ (x) = 3 x³
Therefore, the inverse for the function f (x) = ∛x / 3 will be f ⁻¹ (x) = 3 x³.
Learn more about inverse function here- https://brainly.com/question/18226349 "
#SPJ4
Which expression represents another method of computing the product given below?
-1.45*76
A.
(-1)((1 × 76) + (0.45 × 76))
B.
(-1)(-1.45 - 76)
C.
(-1)(-1.45 + 76)
D.
(-1)(-1.45 × 76)
The value expression represents another method of computing the product given
Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.
-1.45*76 =-110.2
Now checking all the option one by one if any option has the value -110.2
then it is correct
A. (-1)((1 × 76) + (0.45 × 76))
(-1)(76 + 34.2)
=-110.2
B. (-1)(-1.45 - 76)
(-1)(-77.5)
= 77.5
C. (-1)(-1.45 + 76)
(-1)(74.5)
= -74.5
D. (-1)(-1.45 × 76)
(-1)(-110.2)
= 110.2
Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.
To learn more about value visit , https://brainly.com/question/9069559
#SPJ9
PLEASE HELP BRO ITS THE LAST QUESTION FROM MY HOMEWORK
Answer:7
Step-by-step explanation:
just gotta add it up all good
Answer:
7
Step-by-step explanation:
Use natural logarithms to solve each equation.
ex/₅+4=7
-10.27 is the value of x in equation [tex]e^{\frac{x}{5} + 4}[/tex] = 7 solved by using natural logarithms
We have been asked to find x in [tex]e^{\frac{x}{5} + 4}[/tex] = 7 using natural logarithms
⇒ [tex]e^{\frac{x}{5} + 4}[/tex] = 7
⇒ [tex]\frac{x}{5}[/tex] + 4 = ㏑(7)
⇒ [tex]\frac{x}{5}[/tex] = ㏑(7) - 4
⇒ x = ㏑(16807) - 20
= -10.27
What is a natural logarithm?A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.
The power to which e would need to be raised in order to equal x is the natural logarithm of x.
For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.
Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.
Learn more about natural logarithm
https://brainly.com/question/305900
#SPJ4
Correct questionUse natural logarithms to solve each equation.
[tex]e^{\frac{x}{5} + 4}[/tex] = 7
How many different possible outcomes are there if you spin 3 spinners labeled Red, Blue, Yellow?
The number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.
There are 3 spinners:
Red
Blue
and yellow.
Number of possible outcomes will be calculated by using permutation.
So, we get that:
Number of possible outcomes = 3 × 2
Number of possible outcomes = 6 ways.
Therefore, the number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.
Learn more about permutation here:
https://brainly.com/question/12468032
#SPJ9
Multiply.
(−56)⋅58
What is the product?
Enter your answer, as a fraction, in the box.
Answer:
the answer for this question is -3,248