Answer: The total value = 3
Step-by-step explanation:
\(1+4=5\\\\5+4=9\\\\9-6=3\\\\\\1+4+4-6=3\)
Share:
Share £20 pounds in the ratio 2:3
Share 15cm in the ratio 1:2
Divide £24 in the ratio 1:3
Share 35 sweets in the ratio 4:3
The share base on the ratio are as follows:
The share is £8 to £12The share is 5 cm to 10 cmThe share is £6 to £18The share is 20 sweet to 15 sweet.How to find the share base on the ratio?A ratio compares values. A ratio says how much of one thing there is compared to another thing.
Therefore, lets use the ratios to share the items.
Share £20 pounds in the ratio 2:3
2 / 5 × 20 = 40 / 5 = 8
Therefore, the share is £8 to £12
Share 15cm in the ratio 1:2
1 / 3 × 15 = 15 / 3 = 5 cm
Therefore, the share is 5 cm to 10 cm
Divide £24 in the ratio 1:3
1 / 4 × 24 = 24 / 4 = 6
Therefore, the share is £6 to £18
Share 35 sweets in the ratio 4:3
4 / 7 × 35 = 20 sweets
Therefore, the share is 20 sweet to 15 sweet.
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Which sentence uses correct grammar to describe the situation?
Three boys brought comic books to class. Their teacher has taken all of the books and placed them on her desk.
The boy's comic books are on the teacher's desk.
The boy's comic books are on the teachers' desk.
The boys' comic books are on the teacher's desk.
The boys' comic books are on the teachers' desk.
Question 8(Multiple Choice Worth 5 points)
(MC)
You want to turn each of the following words into an adverb. Which word would require you to add ally instead of ly?
Certain
Comic
Original
Quick
Answer:
The boys' comic books are on the teacher's desk
comically
Step-by-step explanation:
Decide if each statement is true or false and explain.
All rectangles are quadrilaterals.
Answer: True
Step-by-step explanation:
They have four sides
Answer:true.
Step-by-step explanation: All Rectangles are indeed quadrilaterals because all rectangles have 4 sides and quadrilaterals are known as a four sided shape,
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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pls help :p i’m stuck
Answer:
x = 7
Step-by-step explanation:
Answer:
x= 1
Step-by-step explanation:
Add four to both sides of the equation:
10x-4+4 = 2x+4+4
Simplify:
10x = 2x+8
Subtract 2x from both sides:
8x = 8
Cancel out terms:
x=
Simplify:
x=1
Need help Please due in 1 hr
We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.
What is amplitude?The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.
When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.
We can deduce that the values are being repeated at regular interval of four (4).
For the amplitude:
\(Amplitude: \frac{140 - 74}{2}\)
Amplitude = 33 ≈ 30.
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Write an equation to find p, the number of pounds of food that an adult manatee can eat in d days?
Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d
Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.
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This table represents a function.
Plot points to represent the function as a graph.
x y
-4 9
-1 3
0 1
2 -3
The graph solution of the function is attached below;
What is a solution to a system of equations? (SOLUTION GRAPHICALLY)For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
Given in the question;
points to be plotted;
(-4,9) , (-1,3) , (0,1) , (2,-3)
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1.055.
Determine whether the statement is true or false. If the statement is false, give a reason.
{5, 6, 7} = {5, 5, 6, 7, 7}
Given:
The statement is:
{5, 6, 7} = {5, 5, 6, 7, 7}
To find:
Whether the given statement is true or false.
Solution:
Two sets are equal if they have exactly the same elements.
The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.
Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,
{5, 5, 6, 7, 7} = {5, 6, 7}
Therefore, the given statement is true.
Are there any values of x for which the areas of the figures are the same? Explain.
The area of the triangle is x + 1 cm², while the area of the rectangle is x cm². Therefore, there is no value of x that makes the areas of both figure equal, because there is no solution to the equation.
How to Find the Areas of Rectangle and Triangle?A triangle's area = 1/2(base)(height)
A rectangle's area = length × width.
Area of the green triangle = 1/2(x + 1)(2)
Area of the green triangle = x + 1 cm²
Area of the rectangle = x × 1
Area of the rectangle = x cm²
Setting both areas equal, we have:
x + 1 = x
x - x = -1
0 = -1 [not true]
There's no solution or the values of x.
Therefore, we can conclude that there are no values of x for which the areas of both shapes are equal, because there is no solution to the equation.
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If you are asked to complete 5 sit-ups for every 9 push-ups you complete, answer each of the following questions:
Write the ratio of push-up’s to sit-ups three different ways.
_____________ ____________ ____________
If you complete 36 push-ups, how many sit-ups did you complete?
____________
If you complete 95 sit-ups, how many push-ups did you complete?
_____________
Answer:
1)5:9 ,5 of 9 5/9 2) 36x5 3) 95x5
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
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60⁰
m
Find the area of each triangle round to the nearest tenth
For math thanks !!!!!
Answer:
5.2 square units
Step-by-step explanation:
You want the area of a triangle with sides 4 and 3, and the angle between them measuring 60°.
AreaThe formula for the area of a triangle is ...
A = 1/2ab·sin(C)
ApplicationHere, we have a=4, b=3, C=60°, so the area is ...
A = 1/2·4·3·sin(60°) = 3√3 ≈ 5.2 . . . . square units
The area of the triangle is about 5.2 square units.
If a polynomial f\mathopen{}\mathclose{\left(x\right)}f(x) has a remainder of 22 when divided by x-6x−6, what is f\mathopen{}\mathclose{\left(6\right)}f(6)?\
f\mathopen{}\mathclose{\left(6\right)}f(6) = (6-6)(something) + 22 = 0(something) + 22 = 22 which has a remainder of 22 when divided by x-6x-6. f\mathopen{}\mathclose{\left(6\right)}f(6) = \boxed{22}.
What is the remainder theorem?The remainder theorem states that when a polynomial is divided by a linear term, the remainder equals the value of the polynomial at the root of the linear term. This theorem may be used to determine the roots of a polynomial by dividing it by a linear term and solving for the remainder. For instance, when the polynomial x3+x2-5x+6 is divided by (x2), the result is identical to the polynomial's value at x=2. After finding the remainder, we may determine that the polynomial's root is 2, which we can do by solving for the remainder. This theorem may also be used to discover the roots of higher degree polynomials by combining linear terms.
How to solve?
f\mathopen{}\mathclose{\left(x\right)}f(x) can be written as (x-6)(something) + 22.
f\mathopen{}\mathclose{\left(6\right)}f(6) = (6-6)(something) + 22 = 0(something) + 22 = 22.
Therefore, f\mathopen{}\mathclose{\left(6\right)}f(6) = \boxed{22}.
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3x-18<4x-23 and x-16<-22
Answer:
1. x > 5
2. x < -6
Step-by-step explanation:
3x-18<4x-23
Solve for x
(5,∞)
x-16<-22
Solve the Inequality for x
(−∞,−6)
The value of x is
1. x > 5
2. x < -6
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
A mathematical declaration indicating an order connection between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.
Given inequality:
3x-18<4x-23
now, Solve for x
23-18<4x-3x
5 < x.
So, the range is (5,∞)
and, x-16<-22
x< -6
So, the range of (−∞,−6)
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What is the value of 7742
Answer:
7=thousands
7=hundreds
4=tens
2=ones
Hope this helps
(CLASSKICK) HELP ASAP!!!
Answer:
94.3
Step-by-step explanation:
You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"
ProportionThe diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.
The solution is found by multiplying both sides by 82:
(x/82)·82 = (115/100)·82
x = 94.3
EquationThe question can also be written as a statement:
"what" is 115% of 82
When written as an equation, "is" means "equals", and "of" means "times":
what = 115% × 82
Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...
x = 115/100 × 82 = 1.15 × 82
All that remains is to evaluate this expression.
x = 1.15 × 82 = 94.3
So, the answer to the question is ...
94.3 is 115% of 82.
Six less than twice a number x is four
Answer:
2 x − 6
Explanation:
"Six less than.." means "Subtract 6 from".
Do not confuse this with "Six less..." which means "Subtract from 6".
Confusing, I know.
We know that "Double a number" means
2 x , where x is your mystery number.
Therefore, we have:
2 x − 6 , which translates to "6 less than 2x" or "6 less than twice a number"
What is the total surface area
Answer:
Step-by-step explanation:
Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?
1.6 n greater-than-or-equal-to 56
1.6 n less-than-or-equal-to 56
56 n less-than-or-equal-to 1.6
56 n greater-than-or-equal-to 1.6
Answer:
the answer is B
Step-by-step explanation:
hope this helps!! have an amazing day <3
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Felipe rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 86 cents for each mile driven. Felipe had to pay $270.79 when he returned the truck. For how many miles did he drive the truck?
Answer:
421.4 miles
Step-by-step explanation:
Numner of miles= ($270.79-$17.95)/86 cents
= $252.84/$0.60
=421.4 miles
Find 5 1/2 x 1/3 in simplest form
Answer:
5 1/2 x 1/3 = 11x/6
draw a relation diagram for the function f:x= 2(3x-1) where x€{1,2,3,4,5}
Answer:
f:x=1
Step-by-step explanation:
6x-1=5
6x/6=6/6
f:x=1
Cromwell is acquiring some land for $1,750,000 in exchange for semiannual payments of $100,000 at an interest rate of 6. 35 percent. How many years will it take cromwell to pay for this purchase?.
It will take Cromwell approximately 22.2 / 2 = 11.1 years to pay for the land.
We can use the formula for the present value of an annuity to find the number of years it will take Cromwell to pay for the land. The formula is:
\(PV = PMT * [(1 - (1 + r)^{(-n)}) / r]\)
where PV is the present value (in this case, 1,750,000), PMT is the payment amount (100,000), r is the interest rate per period (6.35% / 2 = 0.03175), and n is the total number of periods (in this case, twice the number of years since there are two semiannual payments per year).
Substituting in the values, we get:
1,750,000 = \(100,000 * [(1 - (1 + 0.03175)^{(-2n)}) / 0.03175]\)
Simplifying and solving for n, we get:
\((1 - (1 + 0.03175)^{(-2n} ) / 0.03175 = 17.5\\1 - (1 + 0.03175)^{(-2n)} = 0.03175 * 17.5\\(1 + 0.03175)^{(-2n)} = 0.933\)
Taking the natural logarithm of both sides, we get:
\(-2n * ln(1.03175) = ln(0.933)\\n = ln(0.933) / (-2 * ln(1.03175))\\n ≈ 22.2\)
Therefore, it will take Cromwell approximately 22.2 / 2 = 11.1 years to pay for the land.
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A group of employees were asked whether they drive or walk to work.
The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.
From the table representing the probabilities of a group of employees.
Employees divided into two groups,
One is male .
Second is female.
While going for work there are two ways .
Derive to walk.
Walk to work.
Different probabilities are as follow,
Male and derive 0.27
Male and walk = 0.27
Female and derive = 0.23
Female and walk = 0.23
The required probability of being a male and derive
= 0.27.
Therefore, the probability of derive and male is equal to 0.27.
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Evaluate (6 .89 x 10^4) + (9.24 x 10^5). Express the result in scientific notation.
Answer:
\( 9.929 \times {10}^{5} \)
Step-by-step explanation:
\((6 .89 \times 10^4) + (9.24 \times 10^5) \\ \\ = (6 .89 \times 10^4) + (92.4 \times 10^4) \\ \\ = (92.4 + 6.89) \times {10}^{4} \\ \\ = 99.29 \times {10}^{4} \\ \\ = 9.929 \times {10}^{5} \)
3. vertices at (-8, 4) and (4, 4), foci at (-3, 4) and (-1, 4)
The equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1
To find the center of the ellipse, we can find the midpoint between the two vertices:
Midpoint = ((-8 + 4)/2, (4 + 4)/2) = (-2, 4)
So the center of the ellipse is (-2, 4).
To find the semi-major axis (a), we can find the distance from the center to one of the vertices:
Distance = √[(-8 - (-2))² + (4 - 4)²] = √36 = 6
So the semi-major axis is 6.
To find the distance between the foci (2c), we can find the distance between the two foci:
Distance = √[(-3 - (-1))² + (4 - 4)²] = 2
So 2c = 2 and c = 1.
Now we can use the relationship between a, b, and c in an ellipse:
c² = a²- b²
(1)² = (6)² - b²
b² = 35
b ≈ 5.92
So the semi-minor axis is approximately 5.92.
Therefore, the equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1
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Correct question is "vertices at (-8, 4) and (4, 4), foci at (-3, 4) and (-1, 4), find the equation of the ellipse."
How can you isolate the variable in this equation? x + 6 = 13 A Add 6 to 13. B Add 6 to both sides. C Subtract x from both sides. D Subtract 6 from both sides.
Answer:
the answer is D, im doiing the flocab rn
Step-by-step explanation:
Y=2X squared -12 X +20 for quadratic formula
x = (12 ± √(-16)) / 4,The solutions would be complex numbers.
What is the quadratic formula?To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.
The quadratic formula is:
x = (-b ± √\((b^2 - 4ac)\)) / 2a
Plugging in the values for a, b, and c, we get:
x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)
Simplifying the expression inside the square root:
x = (12 ± √\((144 - 160)\)) / 4
x = (12 ± √(-16)) / 4
Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.
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