Answer:
The player that placed the knight after the first person at the start of the game. There in his turn whatever role the knight played he both had opportunity to space each knight strategically and use the knight to protect whatever wins the game.
Step-by-step explanation:
Maths is 81/80 =1
Solve by elimination.. SHOW YOUR WORK. -3x + 2y = 18
-9x - 5y=21
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
( − 4 , 3 )
Equation Form:
x = − 4 , y = 3
Step-by-step explanation:
Answer:
x = —4, y = 3
Step-by-step explanation:
-3x + 2y = 18 (1)
-9x - 5y =21 (2)
To solve by eliminating, the coefficients of either x or y must be the same in both equation.
Now let us make the coefficient of x in both equation to be the same. To do this, multiply equation (1) by the coefficient of x in equation (2) ie —9, and multiply equation (2) by the coefficient of x in equation (1) ie —3 this is illustrated below :
—9 ( —3x + 2y = 18)
27x — 18y = — 162 (3)
—3 ( —9x — 5y = 21)
27x + 15y = —63 (4)
Now, subtract equation 4 from equation 3
27x — 18y = — 162
— (27x + 15y = —63)
—33y = —99
Divide both side by —33
y = —99/—33
y = 3
Now we substitute the value of y into any of the equation to obtain x. In this case, let use equation 4
27x + 15y = —63
27x + 15(3) = —63
27x + 45 = —63
Collect like terms
27x = —63 —45
27x = —108
Divide both side by 27
x = —108/27
x = —4
Therefore, x = —4, y = 3
A stopwatch measures time to the nearest 0.1 seconds. Which is the most
appropriate way to report time using this stopwatch?
A. 24.78 seconds
B. 24.8 seconds
C. 24.778 seconds
D. 25 seconds
Answer:
I believe it is A
Step-by-step explanation:
because if the time is 24.78 and you have to get the exact time then then answer is A but if it asks you to round to the nearest millisecond then then its B. Sorry if its confusing hope this helps! :)
Final Answer:
Option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.
Explanation:
The most appropriate way to report time from a stopwatch that measures to the nearest 0.1 seconds is to report the time to the same level of precision. This means that we should report the time with one decimal place, as the stopwatch does not provide measurements with a greater precision than that.
Given the options:
A. 24.78 seconds - This shows two decimal places, which is more precision than the stopwatch can measure. It should not be used.
B. 24.8 seconds - This shows one decimal place, which matches the precision that the stopwatch is capable of measuring. This is the correct way to report the time.
C. 24.778 seconds - This shows three decimal places, which is again more precision than the stopwatch can measure. It should not be used.
D. 25 seconds - This has no decimal places, thus it does not represent the precision of the stopwatch which is to the nearest 0.1 seconds. It should not be used.
Therefore, option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.
If you can buy one can of pineapple chucks for $2 then how many can you buy with $10?
Answer:
5
Step-by-step explanation:
Because two times 5 equals ten
Answer:
5 cans.
Step-by-step explanation:
Divide 10 with 2 to get your answer.
10/2 = 5
5 cans of pineapple chucks can be bought with $10.
30% of what number is 270,000?
Answer:81,000.
Step-by-step explanation:
EFGH is a parallelogram. Find z.
Answer:
z = 29
Step-by-step explanation:
GF = HE
z + 29 = 2z
Step 1: Solve for z
z + 29 - z = 2z - z
29 = z
Answer: z = 29
92
9
u
2
v
and which term are like terms?
A small welding shop employs four welders and one secretary. A workers' compensation insurance policy charges a premium of $ 10.57 per $100 of gross wages for the welders and $ 1.31 per $100 of gross wages for the secretary. If each welder earns $ 37 comma 000 per year, and the secretary earns $ 24 comma 000 per year, what is the total annual premium for this insurance?
Final answer:
To calculate the total annual premium for the welding shop, the premiums for the four welders and the secretary are calculated separately based on their wages and rates, and then added together, resulting in a total annual premium of $15,958.
Explanation:
The question is asking us to calculate the total annual premium for workers' compensation insurance for a small welding shop with four welders and one secretary, based on their respective wages and insurance premium rates.
First, we will calculate the premium for the welders. Since there are four welders each earning $37,000 per year, the total wages for welders is:
$37,000 x 4 = $148,000
The insurance premium per welder is $10.57 per $100 of gross wages. To find the total premium for all welders, we do:
($10.57/$100) x $148,000 = $15,643.60
Next, we'll calculate the premium for the secretary. The secretary earns $24,000 per year, and the insurance premium is $1.31 per $100 of gross wages, which gives us:
($1.31/$100) x $24,000 = $314.40
Adding the premiums for the welders and the secretary gives us the total annual premium:
$15,643.60 + $314.40 = $15,958
So, the total annual premium for the workers' compensation insurance for the welding shop is $15,958.
The total annual premium for the workers' compensation insurance is $15,958.00.
1. Calculate the premium for each welder:
- Each welder earns $37,000 per year.
- Premium rate for welders: $10.57 per $100 of gross wages.
- Annual premium for one welder:
[tex]\[ \text{Premium for one welder} = \left( \frac{37,000}{100} \right) \times 10.57 = 370 \times 10.57 = 3,910.90 \text{ dollars} \][/tex]
- Since there are four welders:
[tex]\[ \text{Total premium for welders} = 3,910.90 \times 4 = 15,643.60 \text{ dollars} \][/tex]
2. **Calculate the premium for the secretary:
- The secretary earns $24,000 per year.
- Premium rate for the secretary: $1.31 per $100 of gross wages.
- Annual premium for the secretary:
[tex]\[ \text{Premium for secretary} = \left( \frac{24,000}{100} \right) \times 1.31 = 240 \times 1.31 = 314.40 \text{ dollars} \][/tex]
3. Calculate the total annual premium:
[tex]\[ \text{Total annual premium} = 15,643.60 + 314.40 = 15,958.00 \text{ dollars} \][/tex]
kasey's school starts at the time shown on the clock. what time does kasey's school start
While the exact time Kasey's school starts isn't provided, it can be inferred that the common school start time ranges from 8:00 a.m. to 8:30 a.m., based on the information given.
Explanation:The question involves reading a clock to determine what time Kasey's school starts. While the exact time is not provided in the given information, we can infer from various texts that a traditional school start time is typically around 8:00 a.m. In some contexts, like in the case of Jennifer Fuller, a teacher reflects on starting work at 7:45 a.m. which might hint at school starting shortly afterward, likely 8:15 a.m. However, considering the broader perspective given by multiple sources and the push for schools to start no earlier than 8:30 a.m. for teenagers' health, we can surmise that Kasey's school likely starts around 8:00 a.m. to 8:30 a.m., which is a common start time mentioned in the materials provided.
a dog groomer buys 7 packages of treats. Gourmet treats are sold in packs of 2. treats that help clean a dog's teeth are sold in packs of 5. the dog groomer buys 26 treats in all. how many packages of each did she buy?
Answer:
4 packs of 5
3 packs of 2
Step-by-step explanation:
5•4=20
2•3=6
20+6=26
Let's solve this problem using a system of equations. We'll use two variables:
Let \( x \) be the number of gourmet treat packages (each with 2 treats).
Let \( y \) be the number of dental treat packages (each with 5 treats).
We have two pieces of information that will translate into equations:
1. The dog groomer buys 7 packages in total: \( x + y = 7 \)
2. The dog groomer buys 26 treats in all: \( 2x + 5y = 26 \)
Now, we have a system of two equations with two variables:
\[ \begin{align*}
x + y &= 7 \quad \text{(Equation 1)} \\
2x + 5y &= 26 \quad \text{(Equation 2)}
\end{align*} \]
We will solve this system using the substitution or elimination method. Let's use substitution in this case. We can solve Equation 1 for \( x \):
\[ x = 7 - y \]
Next, we substitute \( 7 - y \) for \( x \) in Equation 2:
\[ 2(7 - y) + 5y = 26 \]
Expanding and simplifying,
\[ 14 - 2y + 5y = 26 \]
Combine the \( y \) terms:
\[ 3y = 26 - 14 \]
\[ 3y = 12 \]
Divide both sides by 3 to solve for \( y \):
\[ y = \frac{12}{3} \]
\[ y = 4 \]
Now that we have \( y \), we can find \( x \) using \( x = 7 - y \):
\[ x = 7 - 4 \]
\[ x = 3 \]
So, the dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.
To check if the solution is correct, we can plug the values back into the original equations:
Equation 1 (number of packages)
\[ 3 + 4 = 7 \] (Correct)
Equation 2 (total number of treats)
\[ 2(3) + 5(4) = 6 + 20 = 26 \] (Correct)
The solution is correct, and the problem is solved. The dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.
(2,5) is the midpoint of (4,10) and (x, y)?
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y+10}{2} \right)~~ = ~~\stackrel{midpoint}{(2~~,~~5)}\implies \begin{cases} \cfrac{x+4}{2}=2\\[1em] x+4=4\\ \boxed{x=0}\\[-0.5em] \hrulefill\\ \cfrac{y+10}{2}=10\\[1em] y+10=20\\ \boxed{y=10} \end{cases}[/tex]
What are two other forms to write the numbers 0.253 and 7.632?
Answer:
See below
Step-by-step explanation:
0.253 can be written as 253/1000
7.632 can be written as 7 632/1000 or 7 79/125 simplified
Which shows one way to determine the factors of x^3+5x^2-6x-30 by grouping?
[tex]\left(x^{2}-6\right)(x+5)[/tex] are the factors of the expression by grouping
Step-by-step explanation:
[tex]x^{3}+5 x^{2}-6 x-30[/tex]
We have to group the terms as,
[tex]\left(x^{3}+5 x^{2}\right)-(6 x-30)[/tex]
We can take the common factors as,
= [tex]x^{2}(x+5)-6(x+5)[/tex]
So it can be written as,
= [tex]\left(x^{2}-6\right)(x+5)[/tex]
So it was factorized by grouping.
what is the area of this trapezoid HELP PLEASE
Answer:
Step-by-step explanation:
The answer is 44
Answer:
88 units^2
Step-by-step explanation:
split it into three shapes, a rectangle and two triangles. the find the area of these three different parts. add the areas you got, and you will get the total area of the trapezoid.
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options
Answer:
The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is: Negative slope. Constant slope.
Step-by-step explanation:
Answer: Negative slope
constant slope
decreasing function
for edge
(−2x−3) as a fraction
Answer:
6 or 6/1
Step-by-step explanation:
Multiple: -2 * (-3) = 6
What is least multiple the numbers 6 and 8 have in common?
Answer: I think 24
Step-by-step explanation: This is because the least is them multiplied by each other.
23. Which equation represents the circle whose center
is (-5,3) and that passes through the point (-1,3)?
A) (x + 1)2 + (y - 3)2 = 16
B) (x - 1)2 + (y + 3)2 = 16
C) (x + 5)2 + (y - 3)2 = 16
D) (x – 5)2 + (y + 3)2 = 16
Answer:
Step-by-step explanation:
Hey just wanted to tell you guys this is the legit answer the other one posted is a fraud.
Answer: (x+5)^2 + (y-3)^2=16
Use the graph to find the coordinates of each vertex in
triangle ABC
is the coordinate of Point A.
is the coordinate of Point B.
is the coordinate of Point C
(0, -1)
Intro
Done
please make brainiest.
is the coordinate of point bSuppose the radius of a circle is 8 units. What is it’s circumference?
Answer:
4
Step-by-step explanation:
the circumference is always a half of the radius
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.Which represents the solution(s) of this system of equations? (4, 4) (–4, –12) (4, 4) and (–4, 12) (–4, 4) and (4, 12)
The solution to the system of equations is [tex]\( (4, 4) \)[/tex]. Therefore the correct option is a.
Given equations:
1. [tex]\( y = x^2 - 6x + 12 \)[/tex]
2. [tex]\( y = 2x - 4 \)[/tex]
To find the solution to the system, we'll set the two equations equal to each other because they both equal [tex]\( y \)[/tex]. So:
Step 1:
[tex]\[ x^2 - 6x + 12 = 2x - 4 \][/tex]
Now we will move all terms to one side to set the equation to zero.
Step 2:
[tex]\[ x^2 - 6x + 12 - 2x + 4 = 0 \][/tex]
[tex]\[ x^2 - 8x + 16 = 0 \][/tex]
This is a quadratic equation. To solve for [tex]\( x \)[/tex], we can either factor the quadratic, use the quadratic formula, or complete the square. The equation in Step 2 seems to be a perfect square trinomial.
Step 3:
The equation [tex]\( x^2 - 8x + 16 \)[/tex] factors to [tex]\( (x - 4)^2 = 0 \)[/tex].
Step 4:
Now, we solve for [tex]\( x \)[/tex] by taking the square root of both sides.
[tex]\[ (x - 4)^2 = 0 \][/tex]
[tex]\[ x - 4 = 0 \][/tex]
[tex]\[ x = 4 \][/tex]
Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either of the original equations to solve for [tex]\( y \)[/tex]. We can use the simpler equation [tex]\( y = 2x - 4 \)[/tex].
Step 5:
[tex]\[ y = 2(4) - 4 \][/tex]
[tex]\[ y = 8 - 4 \][/tex]
[tex]\[ y = 4 \][/tex]
So the solution to the system of equations is [tex]\( (4, 4) \)[/tex]. There is only one solution because the quadratic equation had a repeated root, meaning the lines intersect at exactly one point.
The complete question is given below:
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and
the interest was $2,666. Mara made an error in her work.
= prt
2666 = (4300) (0.062)
2666 = (266.6)
266.6
2666
0.14
What was Mara's error?
Mara did not substitute the values from the problem into the formula correctly
© Mara did not multiply correctly.
Mara did not divide correctly.
Mara divided when she should have multiplied.
Answer:
Mara did not divide correctly
Step-by-step explanation:
She had to divide 2666 by 266.6 which should have given her 10
Answer:
she did not divide correctly
Step-by-step explanation:
just did the test got it right
Write the formula of the function y whose graph is shown. A. Y equals 1 divided by x minus 4. B. Y equals 4 divided by the quantity x minus 4 end of quantity. C. Y equals 4 divided by the quantity x plus 4 end of quantity. D. Y equals 4 divided by x.
Answer:
Option D. Y equals 4 divided by x.
Step-by-step explanation:
The picture of the question in the attached figure
we know that
Looking a t the graph
For x=1, y=4
For x=4, y=1
For x=-1, y=-4
For x=-4, y=-1
therefore
The equation that satisfy these values is
[tex]y=\frac{4}{x}[/tex]
a baker uses 84 cups of flour for 36 batches of cookies how many cups of flour are needed for one batch of the cookies
Answer:
I think 2.333333333
Step-by-step explanation:
Answer:
D. 2 + 1/3 Cups of Flour
Step-by-step explanation:
84 Cups of Flour / 36 Batches of Cookies
=
x Cups of Flour / 1 Batch of Cookies
x = 7/3 Cups of Flour
D. 2 + 1/3 Cups of Flour
1) through: (2,0), slope = -4/5
Step-by-step explanation:
Given:
[tex] (2,\:0)=(x_1,\:y_1) \:\&\: m = - \frac{4}{5}[/tex]
Equation of line in slope point form is given as=
[tex]y - y_1 = m(x-x_1) \\ \therefore \: y - 0 = - \frac{4}{5}(x - 2) \\ \therefore \: y = - \frac{4}{5}(x - 2) \\ \therefore \: 5y = - 4(x - 2) \\ \therefore \: 5y = - 4x + 8 \\ \therefore \: 5y + 4x - 8 = 0 \\\therefore \: 4x + 5y - 8 = 0 \\ which \: is \: the \:equation \:of \: required \: \\ line.\: [/tex]
Find the derivative of F(x)=-x^4+4x^3+ 70 for 0<=x<=3
Answer:
-4x^3 +12x^2 for 0 < x < 3
Step-by-step explanation:
The power rule is appropriate:
(d/dx)x^n = n·x^(n-1)
This is applied to each of the terms.
F'(x) = -(4·x^3) +4(3x^2) +0
F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3
__
The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].
please help me fast
How is the graph of y=-6x^2-4 different from the graph of y=-6x^2
It is shifted 4 units to the left.
It is shifted 4 units to the right.
It is shifted 4 units down.
It is shifted 4 units up.
Answer:
Step-by-step explanation:
it is shifted 4 units down.
y=f(x)
y=f(x)+a,a>0
it is shifted a units up .
y=f(x)-a ,a>0
it is shifted a units down.
Final answer:
The graph of y=-6x²-4 is the same as the graph of y=-6x² but shifted 4 units down. This shift is because a constant term (in this case -4) added or subtracted from a function results in a vertical shift of the graph.
Explanation:
The question asks how the graph ofy=-6x²-4 differs from the graph ofy=-6x². This is a situation where we are dealing with vertical shifts in quadratic functions. Looking at the function y = f(x), a subtraction of a constant term outside the function (not multiplying x) results in a vertical shift of the graph. Here, y=-6x²-4 is the same function as y=-6x², but with a vertical shift downwards by 4 units, resulting in the graph being shifted 4 units down.
For clarification and based on transformations, if we had a function f(x) = x² and transformed it to f(x) = x²- 4, the graph would shift vertically down by 4 units. Similarly, the graph of y=-6x², a downward-facing parabola with its vertex at the origin, will be shifted down by 4 units due to the -4 at the end of y=-6x²-4. Therefore, the correct answer is that the graph is shifted 4 units down.
Write the decimal equivalent of each fraction 1/2
Answer:
(1/2) = 0.50.
Answer: 0.5
Step-by-step explanation: the answer is 0.5 because 1/2 i half of something 0.5 is half of 1 making 1/2 equivalent to 0.5
What is 2x(6-7)+(8x2)
Answer:
30
Step-by-step explanation:
Answer:
-2x+16
Step-by-step explanation:
So, we would first distribute.
2x·6=12x
2x·-7=-14x
12x-14x+(8·2)
Simplify:
12x-14x+16
12x-14x=-2x
-2x+16
Find the equation of the line passing through the points (5,2) and (10,6).
Please explain if you can!
Answer:
y = 4/5 x - 2
Step-by-step explanation:
Slope:
y₂ - y₁ / x₂ - x₁
6 - 2 / 10 - 5
4 / 5
y = 4/5 x + b
Solve for b by substituting one of the point's coordinate to the equation:
I'll use (5,2)
y = 4/5 x + b
(2) = 4/5 (5) + b
2 = 4 + b
2 - 4 = b
-2 = b
y = 4/5 x - 2
Azand sold some books at $44 each and used money to buy some concert tickets at $60 each. He had no money left over after buying the tickets. What is the least amount of money he could have earned from selling the books ? What is the least number of books he could have sold ?
The least amount of money Azand could have earned by selling books is $2640. This is because it would allow him to purchase an exact number of concert tickets without any money left over. Therefore, the least number of books he sold is 60.
Explanation:The subject of your question is Mathematics, specifically an application of simple arithmetic and algebra within the context of real world scenarios. To find out the least amount of money Azand could have earned from selling the books and the least number of books he could have sold, we need to realize one key piece of information: the total money spent on tickets (which is also the total money earned from the books) needs to be a multiple of both $44 (the cost of a book) and $60 (the cost of a ticket).
To find the lowest common multiple you simply multiply the numbers together. This gives $2640. Therefore, the least amount of money Azand could have earned by selling the books is $2640. The least number of books he sold can be calculated by dividing the total money by the cost of each book, $2640/$44, which equals 60. So he sold at least 60 books.
Learn more about simple arithmetic and algebra#SPJ12