Answer:
The answer is 45.9 L
Step-by-step explanation:
1. Multiply
25.5L x 1.8L
2. Solve
25.5 x 1.8= 45.9L
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
g in an examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. identify the valid equivalence values if the student clears the exam.
An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. The valid equivalence values of the student clears the exam is 29, 30, 31.
An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks.
The class will be as follows:
Class i: values<24 => invalid class
Class ii: 24 to 40 => valid class
Class iii: values> 40 => invalid class
We need to identify valid equivalence values. Valid equivalence values will be there in a valid equivalence class. All the values should be in class ii.
Therefore, the answer is 29, 30, 31.
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6.4 meters + 14.7 - 23.2 = ?
Answer:
-2.1
Step-by-step explanation:
Answer:
-2.1
Step-by-step explanation:
What’s the correct answer asap for brainlist
Answer:
Step-by-step explanation:its a 69420 dum as
an edge can represent
Answer:
Edges are the components that are used to represent the relationships between various nodes in a graph. An edge between two nodes expresses a one-way or two-way relationship between the nodes. (hackerearth.com)
Step-by-step explanation:
Can I get help with this one too?
Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t
c. It will take over 7 years for the accounts to be equal.
What is the similarities and difference between simple interest and compound interest?The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.
Simple interest = P(1 + rt)
P = principalr = ratet = timeCompound interest = P(1 + r/n)ⁿˣ
x = time in this casen = number of times compoundedTo solve this, we can write equations;
For the first scenario;
\(S = 200(1.1)^t\)
S = amount in accountt = timeFor the second scenario;
S = 250 + 20t
NB: The first case is a compound interest while the second is a simple interest.
c. To determine when the two accounts will be equal;
\(250 + 20t = 200(1.1)^t\)
Solving for t;
t = 7.01 ≈ 7 years
Therefore, it will take over 7 years for the accounts to be equal
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Solve for all possible values of x.
√60 8x = x - 9
The possible values of x are 3 and 7
Solving rational expressionsGiven the rational expression below;
√60-8x = x - 9
Square both sides to have:
(60-8x)² = (x-9)²
60-8x = x²-18x+81
Equate to zero to have;
x²-18x+81 - 60 + 8x = 0
x² - 10x + 21 = 0
x² -3x-7x +21 = 0
x(x-3)-7(x-3) = 0
x = 3 and 7
Hence the possible values of x are 3 and 7
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Please answer the question (8TH GRADE?!)
if you can dont give me wrong answer
Answer:
reflection
Step-by-step explanation:
If events A and B are independent, what must be true?A.) P(AB) = P(B)
B.) P(A/B) = P(A)
C.) P(A) = P(B)
D.) OP(AB) = P(BIA)
Answer:
B.) P(A/B) = P(A)
Step-by-step explanation:
If two events, A and B are independent:
We have that:
\(P(A \cap B) = P(A)P(B)\)
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
Since they are independent:
\(P(A \cap B) = P(A)P(B)\)
Then
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)
So
\(P(B|A) = P(B)\), or either:
\(P(A|B) = P(A)\), and thus, the correct answer is given by option B.
A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $258. A second purchase, at the same prices, included 90 ft of redwood and 60 ft of pine for a total cost of $372. Find the cost per foot of redwood and of pine.
Answer:
redwood: $3.20 per footpine: $1.40 per footStep-by-step explanation:
The two purchases can be described by the equations ...
50r +70p = 258
90r +60p = 372
Rewriting these equations in general form facilitates the use of the cross-multiplication method of solving them.
50r +70p -258 = 0
90r +60p -372 = 0
According to the cross-multiplication method, we need three cross-products:
∆1 = (50)(60) -(90)(70) = -3300
∆2 = (70)(-372) -(60)(-258) = -10560
∆3 = (-258)(90) -(-372)(50) = -4620
The solutions are the solutions to the equations ...
1/∆1 = t/∆2 = p/∆3
r = ∆2/∆1 = -10560/-3300 = 3.20
p = ∆3/∆1 = -4620/-3300 = 1.40
The cost per foot of the redwood was $3.20; of the pine, $1.40.
_____
Additional comment
Here's how this version of the "cross-multiplication" method works. For equations ...
ax +by +c = 0dx +ey +g = 0a coefficient array can be written as ...
\(\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right]\)
The cross-products of interest are formed from adjacent columns:
\(\Delta1=ac-db\\\Delta2=bg-ec\\\Delta3=cd-ga\)
and the solutions are ...
\(x=\dfrac{\Delta2}{\Delta1},\quad y=\dfrac{\Delta3}{\Delta1}\)
Using this method requires no more arithmetic operations than solving by substitution or elimination, and may require fewer: 6 products, 3 sums, and 2 quotients are needed.
Surface are of a box if it is scaled up by a factor of 10. The surface area is 22.7 in² but I don’t know if I’m supposed to multiply 22.7 x 10? Can someone help
Answer:
Step-by-step explanation:
The question is not clear as to which noun the "it" refers to... box or surface area.
Your answer is correct if you are asked to scale up the SURFACE AREA of the box. 22.7(10) = 227 in²
If the BOX itself is to be scaled by a factor of ten, then each box dimension is ten times longer than original and the area is scaled by 10² = 100.
22.7(10²) = 2270 in²
Answer:
2270
Step-by-step explanation:
You don't multiply 22.7 by 10.
Because the box ITSELF is becoming 10 times larger, which means that the length, width and height becomes larger than 10.
Let's look at an example:
1×2 =2
Scale both of them up by a factor of 10.
10×20=200
Since both factors were scaled up by multiplying 10, the product is scaled up by a factor of 100.
So 22.7 times 100 is 2270
5 hundreds minus 4 tens?*
Answer:
460
Step-by-step explanation:
4 tens is equivalent to 40, so 500-40 is = to 460.
Hope this helps! :D
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
\(\large \bold {ANSWER}\)
\(\large \boxed { \large \sf \green{460}}\)\(\large \bold {SOLUTION}\)
5 hundreds is 5 multiplied by 100, so it equals 500. 4 tens is 4 times 10, so 40.
500 - 40 = 460So 5 hundreds minus 4 tens is 460.
find the steps to find the inverse
The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)
what are inverse functions?An inverse function in mathematics is a function that "undoes" another function.
In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.
How to find the inverse functionThe given function is of the form
f(x) = x^(7/9), this is equivalent to ⁹√x⁷
say f(x) = y, then
f(x) = y = x^(7/9)
y = x^(7/9)
solving for the inverse, of y = x^(7/9)
y = x^(7/9)
y^(9/7) = x
interchanging the letters
y = x^(9/7)
hence the inverse function is solved to be f⁻¹(x) = x^(9/7)
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I don’t know how to do it
\(\begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\)
\(\log(x)=2\hspace{5em}\log(y)=3\hspace{4em}\log(2)\approx 0.3\hspace{4em}\log(3)\approx 0.48 \\\\[-0.35em] ~\dotfill\\\\ \log\left(\sqrt[3]{x^4\cdot y^2} \right)\implies \log\left(\left( x^4\cdot y^2 \right)^{\frac{1}{3}} \right)\implies \cfrac{1}{3}\log(x^4 y^2) \\\\\\ \cfrac{1}{3}[\log(x^4)~~ + ~~\log(y^2)]\implies \cfrac{1}{3}[4\log(x)~~ + ~~2\log(y)]\implies \cfrac{1}{3}[4(2)~~ + ~~2(3)] \\\\\\ \cfrac{1}{3}[8~~ + ~~6]\implies {\Large \begin{array}{llll} \cfrac{14}{3} \end{array}}\)
helpppppppppppppppppp
Answer:
38 m²Step-by-step explanation:
Area of the trapezoid:
A = 1/2(b1 + b2)hA = 1/2(4 + 15)*4 = 38 m²Area of trapizoid:-
\(\blue{A=\dfrac{1}{2}(b_1 +b_2)×h }\)
According to the question,
\(\bold{\dfrac{1}{2}×(4+15)×4 }\)
\(\bold{\dfrac{1}{2}×(19)×4 }\)
\(\bold{\dfrac{1}{\cancel{2}}×(19)×\cancel{4}}\)
\(\bold{19×2 ~m^2 }\)
\(\bold{ 38~m^2 }\)
A number is between 40 and 45 . It has prime factors of 2 and 11. What is the number?
Answer: 42
Step by step:
42 is divisible by both 7 and 2
Answer:
44
Step-by-step explanation:
4 x 11 = 44
2 x 22 = 44
HELLLLPPPP PLZ.WILL GIVE BRAINLIEST
formula for density
formula for density
Answer:
The formula for density (ρ) is:
Density (ρ) = Mass (m) / Volume (V)
Step-by-step explanation:
Where:
Density is measured in units such as kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).Mass is the amount of matter in an object and is typically measured in kilograms (kg) or grams (g).Volume is the amount of space occupied by an object and is typically measured in cubic meters (m³) or cubic centimeters (cm³).what is 3/4 of a full rotation ?????????????????????????????????????????????????????????
Answer:
270 degrees.
Step-by-step explanation:
A full rotation is equal to 360 degrees. 3/4 * 360 = 270.
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Mary has a box full of apples:
First, Tom takes out two more than half of the apples.
Then, Linda takes out two fewer than half of the remaining apples.
Now, there are only 20 apples left in the box.
How many apples were there in the box originally?
Answer:
Step-by-step explanation:
50
(x+5)(x-2) please solve this equation fast
\( \large \bf \implies{ {x}^{2} + 3x - 10}\)
Step-by-step explanation:\((x + 5)(x - 2)\)
Step 1) : Using the identity
\( \bf \longrightarrow{(x+a)(x+b) = x² + (a+b)x + ab}\)
Step 2) : Simplify it with using the identity told earlier in step 1) .
\( \bf \longrightarrow(x + 5)(x - 2) \\ \\ \bf \longrightarrow{x}^{2} + (5 + ( - 2))x + (5)( - 2) \\ \\\bf \longrightarrow {x}^{2} + (5 - 2)x + ( - 10) \\ \\\bf \longrightarrow {x}^{2} +3x - 10\)
Step 3) : We have got the answer in step 2) .
\( \large\bf \longrightarrow { {x}^{2} + 3x - 10}\)
Can you please help me answer these math problems.
1. Find the equation of a line in slope-intercept form that passes through a given point or has a slope of m. x-intercept = - 2 and y-intercept = -10.
2. Find the equation of a line in slope-intercept form that passes through a given point or has a slope of m. (0, - 6); m = 8
3. Find the equation of a line in slope-intercept form that passes through a given point or has a slope of m. Parallel to y = 5; passing through (4,9)
4. Find the equation of a line in slope-intercept form that passes through a given point or has a slope of m. Perpendicular to x = -4; passing through (3, 7)
5. What is the slope of the line?
6. What does it mean if the slope of a line is undefined?
A vertical line can be written in the form x = a, where a is the x-coordinate of any point on the line.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. It contains an equals sign (=) and one or more variables, which represent unknown values. Equations are often used to solve problems and find the values of the variables that make the equation true. There are many types of equations, including linear equations, quadratic equations, and systems of equations, among others.
Here,
1. To find the equation of a line in slope-intercept form, we need to use the formula y = mx + b, where m is the slope of the line and b is the y-intercept. We are given the x-intercept and y-intercept of the line, so we can use them to find the slope and y-intercept:
x-intercept = -2, y-intercept = -10
To find the slope, we can use the formula:
m = (y2 - y1)/(x2 - x1), where (x1, y1) = (-2, 0) and (x2, y2) = (0, -10)
m = (-10 - 0)/(0 - (-2)) = -10/2 = -5
So the slope of the line is -5.
Now we can use the slope-intercept form equation to find the equation of the line:
y = mx + b
Substituting the values of m and b, we get:
y = -5x - 10
Therefore, the equation of the line in slope-intercept form that passes through the x-intercept = -2 and y-intercept = -10 is y = -5x - 10.
2. We are given a point (0, -6) and the slope m = 8. We can use the slope-intercept form equation to find the equation of the line:
y = mx + b
Substituting the values of m and the point (0, -6), we get:
-6 = 8(0) + b
b = -6
Therefore, the equation of the line in slope-intercept form that passes through the point (0, -6) and has a slope of m = 8 is y = 8x - 6.
3. We are given that the line is parallel to y = 5 and passes through the point (4, 9). Since the line is parallel to y = 5, it has the same slope as y = 5, which is 0. We can use the point-slope form equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values of m, x1, and y1, we get:
y - 9 = 0(x - 4)
y - 9 = 0
y = 9
Therefore, the equation of the line in slope-intercept form that is parallel to y = 5 and passes through the point (4, 9) is y = 9.
4. We are given that the line is perpendicular to x = -4 and passes through the point (3, 7). Since the line is perpendicular to x = -4, it is a vertical line and its slope is undefined. We can use the equation x = 3 to represent the line.
5. To find the slope of a line, we can use the formula:
m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
6. If the slope of a line is undefined, it means that the line is vertical. This happens when the change in the x-coordinates between any two points on the line is zero, which makes the denominator in the slope formula zero. In this case, the line does not have a slope, since the slope is defined as the ratio of the change in y-coordinates to the change in x-coordinates.
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The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.
The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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Select the correct answer.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A.
h(2) = 16
B.
h(-3) = -1
C.
h(8) = 21
D.
h(13) = 18
Option A. The statement that can be said to be true for h is h(2) = 16
How to get the domainIf we look at the domain and range, we can rule out some straight away.
For h - 3 = -1
this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25
When h is 13 = 18
This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11
When h is 8 = 21
there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19
Therefore on h(2) = 16
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HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE
60
Step-by-step explanation:
1+-2#4
pleaseeee help ill give brainliest
help and please explain will give brainliest
Answer:
2.83
Step-by-step explanation:
36 pi = pi×r×r×h
36=r×r×h
h= 4
36= r×r×4
8=r×r
\( \sqrt{8} = x\)
r= 2.83
Which of the binomials below is a factor of this trinomial?
x² + 5x-36
Answer:
A. x + 9
Step-by-step explanation:
x² + 5x - 36 = (x + 9) (x - 4)
(2x² - 5x + 12) + (x² + 72 – 8)combine like terms
Given the expression:
\((2x^2-5x+12)+(x^2+72-8)\)You have to combine the like terms together, that is group the terms together according to their variable and exponent index. The x-square terms have the same base number "x", and the same exponent "2", this means they are like terms.
The constants, or "alone numbers" are like terms too.
First, order them, I will use parentheses to separate the different groups
\((2x^2+x^2)-(5x)+(12+72-8)\)You have three groups of terms, those who contain "x²", those who contain "x" and the constants.
Now, you can combine them by solving the operations between them. For the constants, you have to add/subtract them.
For the x-square terms, you have to add/subtract their coefficients (i.e. the numbers that multiply "x²")
-5x is the only term of its group so you have to leave it as it is
\(\begin{gathered} (2x^2+1x^2)-(5x)+(12+72-8) \\ (2+1)x^2-5x+76 \\ 3x^2-5x+76 \end{gathered}\)After combining the like terms the simplified expression is
\(3x^2-5x+76\)