The total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder. Thus, the fraction of amount paid by Jane is,
[tex]x=1-\dfrac{3}{5}-\dfrac{3}{8}\\x=\dfrac{40-24-15}{40}\\x=\dfrac{1}{40}[/tex]
The Jane paid, 30000 of total cost which is 1/40 part of it. Thus, the total cost of the piece of land is,
[tex]\dfrac{1}{40}x=30000\\x=30000\times40\\x=1200000[/tex]
Thus, the total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
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What is 4(5x^{2} )+16=400
Step-by-step explanation:
4(5x²) + 16 = 400
5x² + 4 = 100
5x² = 96
x² = 19.5
x = ±sqrt(19.5) = ±4.415880433...
If XYZ measures 55°, what is the measure of WZ?
a. 125°
B. 305
C. 55
D. 110°
What is the total of the new purchases Jessica made during the month?
A.
$123.09
B.
$125.00
C.
$210.30
D.
$210.52
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Step-by-step explanation:
Line L passes through point (0,2) and (4,0)
If you want to find the gradient of Line L, you can use this formula :
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{0 - 2}{4 - 0} [/tex]
[tex]m = \frac{ - 2}{4} [/tex]
[tex]m = - \frac{1}{2} [/tex]
Find the value of cos G rounded to the nearest hundredth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS
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Answer:
[tex]\sf \cos(G)=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = GA = GF = 2H = EG = 4[tex]\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
13. 12, 16, *, 20 Find the missing
A parabola can be drawn given a focus of (6, 0) and a directrix of y=8 Write the equation of the parabola in any form.
Answer:
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:
Step-by-step explanation:
Which is the slope of the line that passes through the points (-3, 1) and (4, -2)?
help with these 10th grade geometry angle problems? will reward brainliest!
Answer:
Step-by-step explanation:
PLEASE HELP
Factor completely 2x3 + 6x2 + 2x + 6.
O 2[(x + 3)(x2 + 1)]
• (2x + 6)(x2 1)
O (x + 3)(2x2 + 2)
O 2(x3 + 3x2 + x + 3)
Answer:
A. 2(x+3)(x^2+1)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The given expression is
Taking out the common factor.
The complete factor form of given expression is . Therefore the correct option is A.
Find the length of the third side. If necessary, write in simplest radical form.
2741
8
Answer:
10
Step-by-step explanation:
Let the missing side be 'x'.
Using Pythagorean Theorem, we can find the missing side.
x² + 8² = (2√41)²x² + 64 = 4(41)x² + 64 = 164x² = 100x = 10Tegan is checking her tax bill for the last year.
the tax rates were as follows:
•No tax on the first of £11,000 earnings
•earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•earnings in excess of £43,000 and up to £150,000 taxed at a rate of 40%
last year Tegan earned £48300 before tax
how much tax did she pay in total. please help give you brainiest.
A percentage is a way to describe a part of a whole. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Since there is no tax for the first £11,000, therefore, the earnings which will be taxed,
£48,300 - £11,000 = £37,300
The amount of tax for the income of £11,000 to £43,000, will be,
20% of (£11,000 to £43,000)
= 20% × (£43,000 - £11,000)
= £6,400
The amount of tax for the income of £11,000 to £150,000, will be,
40% of (£43,000 to £48,300)
= 40% × (£5,300)
= £2,120
Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
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Mrs. Gottschalk had 60 feet of ribbon. If each of the 20 students in her class gets an equal length of ribbon, how long will each piece be in inches?
NEED HELP PLEASE ANSWER ASAP! (41)
Answer:
41. (2) x² - 3x - 4 =0
Step-by-step explanation:
Question 41
Standard form of polynomial
x² - (sum of roots) + product of roots = 0(2) x² - 3x - 4 =0Answer:
(2) [tex]x^2-3x-4=0[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]ax^2+bx+c=0[/tex]
When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.
So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.
[tex]\implies b=1+-4=-3[/tex]
[tex]\implies ac=1 \cdot -4[/tex]
As there the leading coefficient is 1, [tex]c=-4[/tex].
Therefore, the equation would be: [tex]x^2-3x-4=0[/tex]
Proof
Factor [tex]x^2-3x-4=0[/tex]
Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
The two numbers that multiply to -4 and sum to -3 are: -4 and 1.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies x^2-4x+x-4=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x-4)+1(x-4)=0[/tex]
Factor out the common term [tex](x-4)[/tex]:
[tex]\implies (x+1)(x-4)=0[/tex]
Therefore, the roots are:
[tex](x+1)=0 \implies x=-1[/tex]
[tex](x-4)=0 \implies x=4[/tex]
So the sum of the roots is: -1 + 4 = 3
And the product of the roots is: -1 × 4 = -4
Thereby proving that [tex]x^2-3x-4=0[/tex] has roots whose sum is 3 and whose product is -4.
simplify the expression
4(-8x+5)-(-33x-26)
Answer:
x+46
Step-by-step explanation:
x+46 because you do math and dont worry ive done this problem pls can you help me with my problem
What are polynomials?
Polynomials are mathematical expressions made up of many terms.
How to simplify a polynomial?
To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.
we solve ⇒ 4(-8x+5)-(-33x-26)
To distribute
-32x+20-(-33x-26)add up the numbers
-33+20+33x+26Combine like terms.
-32x+46+33xMultiply by 1.
1x + 46Solutionx + 46 ======> Answersimplify
[tex]\sqrt{29-12\sqrt{5} }[/tex]
Answer:
[tex] \sqrt{29-12\sqrt{5} }[/tex]
[tex]\sqrt{9 - 12 \sqrt{5} + 4 \times 5}[/tex]
[tex]\sqrt{ {3}^{2} - 12 \sqrt{5} + {(2 \sqrt{5}) }^{2} }[/tex]
[tex]\sqrt{{(3 - 2 \sqrt{5} )}^{2}}[/tex]
[tex]{(3 - 2 \sqrt{5} )}[/tex]
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Tyler concludes that 5x² will always have a larger output for the same value of x.
Look at the graph below and the table given
Take a random value: x = 0
When 5x², y = 0When 2^x, y = 1Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
No it won't be
Take x =9
2^x=2^9=512But
5(9)²=5(81)=405Clearly 2^x surpasses 5x²
So Tyler is wrong
help me whats 93458 divided by 19435
scan qr code for assignment question!
Answer:
[tex]\frac{93458}{19435}[/tex] ≈ 4.81
Step-by-step explanation:
[tex]\frac{93458}{19435}[/tex] can not be simplified
Find the volume of the cone. Round your answer to the nearest tenth. A cone is shown. Its height is 3 meters and the diameter of the base is 6 meters. The volume of the cone is about a cubic meters.
Answer:
The answer to this question should be 28.3
The diagram shows a regular pentagon.
a)
Work out the sum of the interior angles.
b)
Work out the size of one interior angle.
Answer:
a) 540° b) 108°
Step-by-step explanation:
Formula: (n-2)×180°
a) (5-2)×180°
3×180°=540°
b) 540°÷5=108°
n means nr of sides
Does anybody know this? Find the circumference of a circle if the diameter is 8 meters do not round your answer use 3.14 for pi
Answer:
The circumference of the circle is 25.12 meters
Step-by-step explanation:
By definition, the circumference of a circle is the perimeter or the length around the circle.
To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :
C = 2 * pi * r
We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4
Now, we plug in our values:
2 * 3.14 * 4
When we evaluate this, we get the answer to be : 25.12
The circumference of the circle is 25.12 meters
Extra references for the definitions of radius and circumference.
The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.
Dray collects marbles of different colour. 7/8 of his marbles are red. 2/9 of the remaining marbles are blue. How many marbles does he have in total, if the number of green marbles that he has is 14?
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Answer:
7 things an investor should consider when picking stocks:
Trends in earnings growth.
Company strength relative to its peers.
Debt-to-equity ratio in line with industry norms.
Price-earnings ratio as an indicator of valuation.
How the company treats dividends.Effectiveness of executive leadership.
Step-by-step explanation:
A sequence starts with: 25 20 15 10... what is the term-to-term rule of the sequence?
In a class of 30 students, 13 of them are boys. What percentage of the class are girls? Give your answer to 1 decimal place.
Answer: 56.7%
Step-by-step explanation:
1) First we need to find the number of girls out of the class of 30:
30-13 = 17 -> 17 girls in the class
2) Then we can set up a part-whole equation like this (I don't know if this is how you learned it, I recommend searching up "part whole percent" if you're confused):
[tex]\frac{17}{30} \frac{x}{100}[/tex] it follows this template: [tex]\frac{part}{whole} \frac{percent}{100}[/tex]
Since we're trying to find the percent and the problem gives us the rest of the info (by the way, that 100 will always stay there, it will never change)
3) Then we cross multiply
17 x 100 = 1700
1700/30 = 56.6666666
4) And since the answer has to be in the 1 decimal place, it would be 56.7
So that means approximately 56.7% of the class are girls
Desmis Unit 7 Practice Day 1
The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The measure of angles are given as,
A 90 degree angleA 100 degree angleA 30 degree angleTo create a triangle with these angles, the sum should be equal to 180 degree of three angles.
90+100+30 > 180
90+90+30 > 180
90+90+100 > 180
100+100+30 > 180
30+100+30 < 180
30+90+30 < 180
There is no combination of angles, which is equal to the 180 degree.
Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
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The shape is composed of squares and quarter circles. What is the perimeter?
In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 2 feet and b = 1 foot, what is c? If necessary,
round to the nearest tenth.
c =
feet
c=2.2feet
The solution in the attached file
Using the digits 9,8,7,0,5,4,6 without repetition, the greatest 7 digit number is
Answer:
9876540
Step-by-step explanation:
it’s the biggest number because it has the numbers in order from least to greatest! Please tell me if you need help with another question similar to this I will help you.
Answer:
9876540
Step-by-step explanation:
saying the digit number you count the big number
Which values represent solutions to cos
s(1 - x) = x sinx, where x E [0, 27)?
Answer:
[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]
Step-by-step explanation:
