Answer:
x=1/4
y=1/2
Step-by-step explanation:
Given:
-2.4x+3.6y=1.2
2.4x + 1.2y=1.2
-2.4x+3.6y=1.2
Divide through by 1.2
-2x+3y=1
2.4x + 1.2y=1.2
Divide through by 1.2
2x+y=1
-2x+3y=1 (1)
2x+y=1 (2)
From 2
y=1-2x
Substitute y=1-2x into (1)
-2x+3y=1
-2x+3(1-2x)=1
-2x+3-6x=1
-8x=1-3
-8x=-2
Divide both sides by -8
x=1/4
Substitute x=1/4 into (2)
2x+y=1
2(1/4)+y=1
2/4+y=1
1/2+y=1
y=1-1/2
y=1/2
x=1/4
y=1/2
Answer:
x=1
Step-by-step explanation:
edge 2021
Bengus the expert blacksmith forged 32 swords from copper, twice as many swords from iron, and 19 swords from mythril. Estimate how many swords Bengus forged.
Answer: 115 swords
Step-by-step explanation:
He forged 32 swords from copper, 2*32 from iron and 19 from mythril. Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.
Hope it helps <3
Answer:
110
Step-by-step explanation:
no need
Write as an algebraic expression and simplify if possible: *150% of 50% of z whoever answers the fastest gets brainliest
Answer:
3z/4
Step-by-step explanation:
Here, we start by calculating the 50% of z
mathematically, that would be 50/100 * z = 50z/100 = z/2
Now we want to calculate the 150% of this.
That would be 150/100 * z/2 = 150z/200 = 3z/4
PLEASE ANSWER ASAP WITH AN EXPLANATION
The eighth grade class at Seven Bridges Middle School has 93 students. Each student takes a current events class, a foreign language class, or both a current events class and a foreign language class. There are 70 eighth graders taking a current events class, and there are 54 eighth graders taking a foreign language class. How many eighth graders take only a current events class and not a foreign language class?
Answer:
39 students
Step-by-step explanation:
let x represent the number of students taking both current event and foreign language
there are : 70 eight grader taking current event and 54 taking foreign
70+54-x=93
-x=93-124
x= 31 students taking both
number of eighth graders take only a current events class and not a foreign language class: 70-31=39 students
Where L is the length, in feet, of the pendulum, and π is approximately 22 7 . How long must the pendulum be if one complete cycle takes 8 seconds?
Answer:
Length L = 51.88 feet
Step-by-step explanation:
From the given information,
The length of the pendulum can be determined by using the Formula for the period T which is the time of one full oscillation of a simple pendulum.
[tex]T = 2 \pi \sqrt {\dfrac{L}{g}}[/tex]
where;
T = period of the time of one full oscillation = 8 seconds
L = length in feet
g = acceleration due to gravity in feet = 32 ft/s²
π = 22/7
[tex]8 = 2 \times \dfrac{22}{7} \times \sqrt {\dfrac{L}{32}}[/tex]
[tex]8 = 6.2857 \times \sqrt {\dfrac{L}{32}}[/tex]
[tex]\dfrac{8}{6.2857} =\sqrt {\dfrac{L}{32}}[/tex]
[tex]1.273=\sqrt {\dfrac{L}{32}}[/tex]
[tex]1.273= {\dfrac{\sqrt L}{ \sqrt {32}}}[/tex]
[tex]1.273 \times { \sqrt {32}}}= {\sqrt L}[/tex]
[tex]7.2012= {\sqrt L}[/tex]
L = 7.2012²
L = 51.88 feet
What is the value of x?
Answer:
The Answer is 180
Step-by-step explanation:
If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?
Answer:
[tex]x\geq 3[/tex] is the inequality to find the Domain of f(x)
Step-by-step explanation:
When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.
Therefore, in this case , for
[tex]f(x)=\sqrt{x-3}[/tex]
we ask for the x-values that verify:
[tex]x-3\geq 0\\x\geq 3[/tex]
where we have isolated x on one side of the equal sign.
This would be the definition of the Domain of the function.
Answer:
The answer is C
Step-by-step explanation:
A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured
quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a
newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and
attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this
study? Explain.
We can infer a cause-and-effect relationship because the sample was selected randomly.
We cannot infer a cause-and-effect relationship because we do not have a control group.
We can infer a cause-and-effect relationship because multiple variables were included.
We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly.
Answer:
The correct option is;
We cannot infer a cause and effect relationship because we do not have a control group
Step-by-step explanation:
The treatment in research involves giving stimulus known as treatment to a group or portion of the sample which are then known as the treatment group while the remaining portion of the the sample are exempted from the stimulus. A successful treatment manipulation is one where members of the treatment group perform higher in the measured metrics of the research than members of the control group.
Given that the researchers gathered data from a random sample of drivers and measurement of several variables including the explanatory variable of the of the research without subjecting a sample to a treatment or having a control group we cannot infer a cause and effect relationship as there are no control group
At the souvenir shop. Theo buys k key chains and p photo frames
where each chain and frame costs $2.49. He also buys a T-shirt for
$5.99. What is the total cost of Theo's purchases in terms of k and p?
Answer:
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
Step-by-step explanation:
Cost of k key chain=$2.49
Cost of p photo frames=$2.49
Cost of a T-shirt=$5.99
Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt
=2.49k + 2.49p + 5.99
Factorise
2.49 is common to both k and p
=2.49(k + p) + 5.99
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one face of the cube b: use this answer to determine a polynomial that represents the length of an edge of the cube c: what is the length of an edge of the cube when r = 3 cm
Answer:
a. 4r² b. 2r c. 6 cm
Step-by-step explanation:
The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.
Now, equating both expressions, 6L² = 24r²
dividing both sides by 6, we have
6L²/6 = 24r²/6
L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².
b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have
√L² = √4r²
L = 2r
So, the polynomial that represents the length of an edge of the cube is L = 2r
c. The length of an edge of the cube is L = 2r. When r = 3 cm.
L = 2r = 2 × 3 cm = 6 cm
So, the length of an edge of the cube is 6 cm.
i neeeed help quickkkk
Answer:
20 hours
Step-by-step explanation:
If your computer can download a movie in 5 hours, then it downloads [tex]\frac{1}{5}[/tex] of a movie in 1 hour.
The extra processor in 1 hour, reduces the time down to 5 hours, so it downloads [tex]\frac{1}{4}[/tex] of the movie in 1 hour.
The time that the extra processor will spend to download a whole movie added to [tex]\frac{1}{5}[/tex] will equal [tex]\frac{1}{4}[/tex] .
So our equation is [tex]\frac{1}{5} + \frac{1}{x} = \frac{1}{4}[/tex].
To simplify this, lets multiply all sides by 20x.
[tex](\frac{1}{5}+\frac{1}{x} \cdot 20x) = \frac{1}{4}\cdot20x\\ 4x + 20 = 5x[/tex]
Now we can simplify this equation.
[tex]20 = 5x-4x\\\\20 = x\\x = 20[/tex]
So the extra processor alone would take 20 hours to download the movie.
Hope this helped!
As mountain climbers know, the higher you go, the cooler the temperature gets. At noon on July 4th last summer, the temperature at the top of Mt. Washington — elevation 6288 feet — was 56◦F. The temperature at base camp in Pinkham Notch — elevation 2041 feet — was 87◦F. It was a clear, still day. At that moment, a group of hikers reached Tuckerman Junction — elevation 5376 feet. To the nearest degree, calculate the temperature the hikers were experiencing at that time and place. When you decided how to model this situation, what assumptions did you make?
Answer:
a. 63 °F
b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.
Step-by-step explanation:
a. To model this situation, we assume the temperature varies inversely as elevation decreases since at elevation 6288 ft the temperature is 56 °F and at elevation 2041 ft, the temperature is 87 °F
So, we model this as a straight line.
Let m be the gradient of the line.
Let the (6288 ft, 56 F) represent a point on the line and (2041 ft, 87 °F) represent another point on the line.
So m = (6288 ft - 2041 ft)/(56 °F - 87 °F) = 4247 ft/-31 °F = -137 ft/°F
At elevation 5376 ft, let the temperature be T and (5376 ft, T) represent another point on the line.
Since it is a straight line, any of the other two points matched with this point should also give our gradient. Since in the gradient, we took the point (6288 ft, 56 °F) first, we will also take it first in this instant.
So m = -137 ft/ °F = (6288 ft - 5376 ft)/(56 °F - T)
-137 ft/°F = 912 ft/(56 °F - T)
(56 °F - T)/912 ft = -1/(137 ft/ °F)
56 °F - T = -912 ft/(137 ft/°F)
56 °F - T = 6.66 °F
T = 56 °F + 6.66 °F
T = 62.66 °F
T ≅ 62.7 °F
T ≅ 63 °F to the nearest degree
b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.
If you vertically stretch the exponential function, f(x) = 2^x, by a factor of 4, what is the equation of the new function?
Answer:
f( x ) = 4( [tex]2^x[/tex] )
Step-by-step explanation:
If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.
Therefore, the previous function is expressed by the following ...
f( x ) = [tex]2^x[/tex] ... then this new function should be -
f( x ) = 4( [tex]2^x[/tex] )
The equation of this new function is f( x ) = 4( [tex]2^x[/tex] )
There are 20 girls and 26 boys on the tennis team . What is the ratio of the number of girls to the total number of players on the team
Answer:
10:23
Step-by-step explanation:
Total number of players on the team = 20 + 26 = 46 players
Number of girls = 20
Ratio of the number of girls to the number of players on the team = 20/46 = 10/23 = 10:23
Ratio is 10:23
What are the points
Answer:
Step-by-step explanation:
x-y=6
(0,-6),(6,0)
4x+y=4
(0,4),(1,0)
point of intersection:
Answer:
for first eq
three points are (7,-1) (6,0) and (5,1)
for second eq
three points are (1,0) (0,4) and (-1,8)
point of intersecton is (2,-4)
Step-by-step explanation:
check by substituting if u want
hope i helped
pls give brainliest
im trying to level up
help me really urgent
What is the answer now in two minutes
Answer:
sqrt(6)
Step-by-step explanation:
In a 45-45-90 right triangle, the ratio of the lengths of the sides is
1 : 1 : sqrt(2)
u = sqrt(3) * sqrt(2) = sqrt(6)
Answer:
√6 meters
Step-by-step explanation: In a 45° right triangle, the two sides of the 90° angle are equal. a^2+b^2=c^2
2(√3)^2 = 6
√c^2 = √6.
Which relationships have the same constant of proportionality between yyy and xxx as the following graph?
The constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3
For us to determine the constant of proportionality of the given graph, we must first find the equation of the line.
The standard equation of a line is expressed as y = mx + b
m is the slopeb is the y-interceptUsing the coordinate points (0, 0) and (2, 6)
Get the slope "m"
[tex]m=\frac{6-0}{2-0}\\m=\frac{6}{2}\\m=3[/tex]
Since the line passed through the origin, the y-intercept is 0
Get the required equation:
y = mx + b
y = 3x + 0
y = 3x
From the equation, the constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3
Learn more here: https://brainly.com/question/13441754
f(x)=x^2-3x-2 is shifted 4 units right. The result is g(x). What is g(x)?
Answer:
[tex]\boxed{\mathrm{C.}\:\: g(x)=(x-4)^2-3(x-4)-2}[/tex]
Step-by-step explanation:
The function is shifted 4 units right.
The value of x in the function is subtracted from 4, because this is a horizontal translation.
[tex]f(x)=x^2-3x-2[/tex]
[tex]g(x)=(x-4)^2-3(x-4)-2[/tex]
Answer:
c
Step-by-step explanation:
if you shift to the right funnily enough, you have to "compensate" for that by SUBTRACTING the number of units.
EXTRA
To check, use a simple function f(x)= x²
The top of this parabola is at (0,0).
We want to check if g(x) = (x-4)² is the right function....
Now if f(x) is shifted 4 units right than all variables with x in them, need to be compensated for. The question is do you need to add or subtract...
We know that the result is g(x), and we know that the top of g(x) would end up at (4,0).
For that to happen you need to compensate with g(x) = (x-4)²
Now check if (4,0) is on g(x) by substituting x=4. if the result turns out to be 0, then you know it is ok...
Substituting x=4 indeed results to
4-4 = 0, so (4,0) is on g(x).
Conclusion, by checking this one special value, you now know you have found the correct compensation factor!
Can anyone answer this?
Answer:
Because the triangle is isosceles, the base angles are congruent. Since the sum of angles in a triangle is 180° we can write:
24 + x + x = 180
24 + 2x = 180
2x = 156
x = 78°
Answer:
[tex]\boxed{x=78}[/tex]
Step-by-step explanation:
The triangle is an isosceles triangle.
The two base angles are equal.
Angles in a triangle add up to 180 degrees.
x + x + 24 = 180
Combine like terms.
2x + 24 = 180
Subtract 24 on both sides.
2x = 156
Divide both sides by 2.
x = 78
Find the volume of the prism.
لا
A. 120 cm3
B. 630 cm2
C. 120 units2
D. 120 units 3
First, let's find the area of the triangle:
[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}\times3\times4=6[/tex]
Now, we multiply this area by the length of the prism, which is 20
[tex]20\times6=120[/tex]
All 3 answers have 120. However, since we're calculating volume, it will be represented by [tex]\text{units}^3[/tex]. Since no specific unit (such as cm or in) is specified, it will be left at that.
Thus, the answer is answer choice D.
Let me know if you need any clarifications, thanks!
The volume of prism is 120 unit³.
The correct option is D.
What is Volume?Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
First, Area of Triangle
= 1/2 x b x h
= 1/2 x 3 x 4
= 3 x 2
= 6
So, the volume of prism is
= 6 x 20
= 120 unit³
Thus, the volume of prism is 120 unit³.
Learn more about Volume here:
https://brainly.com/question/1578538
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the question is in the attachment...
Answer:
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
Step-by-step explanation:
Let the sum total of parts of garden be x
If it is divided into 10 equal parts then
one part will be equal to x/10
Given carrots are planted on 5/10 of the garden
parts on which garden is planted = 5/10 * total part of garden = 5x/10
Given peas are planted on 1/10 of the garden
parts on which peas are is planted = 1/10 * total part of garden = x/10
On rest of the part corn is planted.
Rest of the part will be = total parts of garden - part on which carrots are planted - part on which carrots are planted
Rest of the part will be = x - 5x/10- x/10 = (10x-5x-x)/10 = 4x/10
Model will be
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
Imagine if you won the jackpot! What are your chances to do so? What numbers would you pick? Would you take the annual installments or a reduced lump sum if you won?
Do you have numbers in mind? If so, jot them down (unless you want to keep them to yourself! If they are birthdays or numbers you use, you do not have to post, just describe). Have those numbers won before? In about 200 words.....I will give you an example then.. ...EXAMPLE:
Hello! I sometimes play and use birthdays/anniversaries for numbers. I do combinations of months and days for my kids, my husband, and myself. I do know that I would take the lump sum, instead of 30 payments. You end up taking the chunk out in taxes first, but in the long-haul, you save.
Step-by-step explanation:
Hi,
I like playing with the numbers. I do it either by playing games or by solving problems containing numbers. I also play to earn money for myself.
I use numbers form my date of birth, my telephone number, my street number, sometimes my house number to play lucky draws and try out my luck to win a jackpot. Sometimes I win and sometimes I loose.
So, I love to play with numbers.
Whenever I win, mostly I chose to take a lump sump amount so that I can immediately invest it in some other work to gain money.
HELP ASAP MONEY & WAGES
Answer: Annual Gross Income = $55,489.20
Annual Net Income = $46,439.72
Step-by-step explanation:
Total hours worked per week = 3(10) + 5 + 11 = 46
Regular hours worked = 3(8) + 5 + 8 = 37
Overtime hours worked = 3(2) + 0 + 3 = 9
Weekly Tips at 20% of $60 for 46 hours:
0.2(60)(46) = $552.00
Annual tips = $552.00 x 52 weeks = $28,704.00
Weekly Regular pay at $10.20 per hour for 37 hours:
10.20(37) = $377.40
Annual regular pay = $377.40 x 52 weeks = $19,624.80
Weekly Overtime pay at time and a half for 9 hours:
10.20(1.5)(9) = $137.70
Annual overtime = $137.70 x 52 weeks = $7,160.40
Total Annual Gross Income = Tips + Regular Pay + Overtime
$28,704.00 + $19,624.80 + $7,160.40 = $55,489.20
****************************************************************************************
Deductions (per question 5):
a) Pension at 5% = $55,489.20(0.05) = $2,774.46
b) Employee Insurance at 2.4% = $55,489.20(0.024) = $1,331.74
c) Income Tax at 0% for $0-$11,000 = $11,000(0) = 0
Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120.00
Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000.00
Income Tax at 15% for $50,000-$100,000 = $5,489.2(0.15) =$823.38
Total Income Tax = $4,943.28
Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:
$55,489.20 - $2,774.46 - $1,331.74 - $4,943.28 = $46,439.72
Find the measure of arc JKM if angle KLM = 50 degrees.
Answer:
180°
Step-by-step explanation:
Answer:
180 = arc JKM
Step-by-step explanation:
Angle JM is a straight line so the angle is 180
Central Angle = Intercepted Arc
angle JM = arc JKM
180 = arc JKM
Evaluate the expression 2x – xy for x=− 1/2 and y=8
Answer:
3
Step-by-step explanation:
2x-xy
2(-1/2)-(-1/2)(8)
-1+4
=3
what are two ways to solve this equation.
Answer:
x = - [tex]\frac{96}{23}[/tex] or x= 4.1739
Step-by-step explanation:
[tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4
I will show two methods of solving this equation
First method
We will follow the steps below:
First find the LCM of 8 and 3
The LCM of 8 and 3 is 24
Next is to multiply through by 24
Our equation becomes
24 ×[tex]\frac{3x}{8}[/tex] - 24× [tex]\frac{4x}{3}[/tex] = 24× 4
3×3x - 8×4x =24×4
9x - 32x = 96
-23x = 96
Divide both-side of the equation by - 23
-23x/-23= 96/-23
x=-[tex]\frac{96}{23}[/tex] or x=4.1739
second method
[tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4
[tex]\frac{9x - 32x}{24}[/tex] = 4
multiply both-side of the equation by 24 or cross multiply
9x - 32x = 96
-23x = 96
divide both-side of the equation by -23
x = - [tex]\frac{96}{23}[/tex] or x= 4.1739
The measure of each exterior angle of a regular polygon is 30 degrees. How many sides does the polygon have
Answer:
12 sides
Step-by-step explanation:
To find the number of sides, use a formula.
[tex]\frac{360}{\theta }=n[/tex]
θ is the measure of each exterior angle of the regular polygon.
n is the number of sides of the regular polygon.
[tex]\frac{360}{30} =12[/tex]
3. Callum rolled a single six sided die 12 times and it landed on a six, three of the times. The probability that it will land on a six on the 13th roll is?
Answer:
1/6
Step-by-step explanation:
Each roll is independent. So the probability of rolling a six is 1/6, regardless of the previous rolls.
Compute the value of each expression 7−17
Answer: -10
Step-by-step explanation:
7 - 17 = -10. An easy way to do this (with only two terms) is to just flip it, and do 17 - 7 = 10, then make 10 negative(-10)
Hope it helps <3
URGENT!!! PLEASE help me with this question!
Answer:
[tex]\huge\boxed{x = 8,\ but\ x = 3\ is\ extraneous}[/tex]
Step-by-step explanation:
[tex]\sqrt{x+1}+5=x\\\\\text{Domain:}\ x+1\geq0\to x\geq-1\\\\\sqrt{x+1}+5=x\qquad\text{subtract 5 from both sides}\\\sqrt{x+1}=x-5\qquad\text{square both sides}\\(\sqrt{x+1})^2=(x-5)^2\qquad\text{use}\ (\sqrt{x})^2=x\ \text{and}\ (a-b)^2=a^2-2ab+b^2\\x+1=x^2-2(x)(5)+5^2\\x+1=x^2-10x+25\qquad\text{subtract}\ x\ \text{and}\ 1\ \text{from both sides}\\0=x^2-11x+24[/tex]
[tex]ab=24;\ a+b=-11\\a=-8;\ b=-3\\\\x^2-11x+24=0\\x^2-8x-3x+24=0\qquad\text{distribute}\\x(x-8)-3(x-8)=0\qquad\text{distribute}\\(x-8)(x-3)=0\\\\\text{The product is 0 if one of the factors is 0. Therefore}\\(x-8)(x-3)=0\iff x-8=0\ \vee\ x-3=0\\x-8=0\qquad\text{add 8 to both sides}\\\boxed{x=8}\in D\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\in D[/tex]
[tex]\text{For}\ x=8:\\\sqrt{8+1}+5=8\\\sqrt{9}+5=8\\3+5=8\\8=8\qquad\bold{CORRECT}\\\text{For}\ x=3:\\\sqrt{3+1}+5=3\\\sqrt4+5=3\\2+5=3\\7=3\qquad\bold{FALSE}[/tex]