Total amount, T = $100 million.
Cost of wheat per ton, C = $300 .
Price per fighter plane, c = $15 million.
Now,
Price of 5 fighter planes, P = $( 15 × 5 ) = $75 million.
Amount left = $( 100 - 75 ) = $25 million.
So,
Number of tons of wheat government can buy is :
[tex]n=\dfrac{25\times 1000000}{300}\\\\n = 83333.33\ tons[/tex]
Therefore, number of tons of wheat the government can afford is 83333.33 tons.
Hence, this is the required solution.
A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
[tex]tan(\theta)=opposite/adjacent[/tex]
The angle (θ) is 80. The opposite is x. The adjacent is 18.
[tex]tan(80)=x/18[/tex]
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
[tex]18*tan(80)=x/18*18[/tex]
[tex]18*tan(80)=x[/tex]
[tex]18*5.67128182=x[/tex]
[tex]102.0830728=x[/tex]
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
[tex]102.1\approx x[/tex]
The height of the tree is about 102.1 meters.
**diagram is not to scale
6(x – 1) = 9(x + 2) what is the answer
Answer:
The answer is x = -8
Jim opens a CD with $5000 and earns interest at an apt of 5.25%. How much interest would be earned and what would be the balance if he keeps the money in the account for 2 years?
Answer: Interest = $5.25, balance = $5005.25
Step-by-step explanation: PLease mark as brainist
x2 + 8x + 4 = 0
please help
Solve the quadratic equation
Answer:
4
Step-by-step explanation:
Answer:
x= -2/5 or - 0.4
Step-by-step explanation:
What number is 7.5 more than 7.4?
Answer:
the answer is 14.9
When translating the point (5,0) 6 units up and 4 units to the right, we should get:
Answer:
(9,6)
Step-by-step explanation:
"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.
Hope this helps!
rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio. She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.
What is Prema’s profit in 2009 and 2010?
Given :
Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio.
She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.
To Find :
What is Prema’s profit in 2009 and 2010.
Solution :
Price of one third ounces of gold, in 2005 is :
P = $414/3 = $138 .
Profit from selling them in 2009 is :
P1 = $(953 - 138) = $815 .
Profit from selling them in 2010 is :
P2 = $( 1367 - ( 414 - 138 ) ) = $1091 .
Therefore, Prema's profit in 2009 is $815 and 2010 is $1091.
Hence, this is the required solution.
What is the quotient of -3/8 and -1/3?
Answer:
1[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
I used my calculators.
Find the slope and y-intercept. Also, determine if it is Proportional or Non Proportional
Answer:
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Two points lying on the graph are (1, 12) and (2, 24).
Slope of the line will be,
m = [tex]\frac{24-12}{2-1}[/tex]
Slope = 12
Since equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the line passing through (1, 12) and slope 12 will be,
y - 12 = 12(x - 1)
y = 12x - 12 + 12
y = 12x
By comparing this equation with the equation,
y = mx + b
where 'b' = y-intercept = 0
Since, y-intercept is zero, table will represent the proportional relation between x and y.
Proportional or non proportional → Proportional
Samir estimates the value of 3/5*16.1 which estimate is reasonable
Answer:
9.66
Step-by-step explanation:
Plz mark brainliest!!!
how you to transform a polynomial equation in standard form? state some steps
Answer:
A very common way to transform a polynomial equation in standard form is usually by writing a polynomial in its standard form.
This is mainly achieved by checking the degree of the terms involved and writing them in the order of degree which should follow the pattern of from highest to lowest, left to right.
If AB undergoes a dilation of k=1/3 centered at (-3,2) then A’ will have the coordinates:
Answer:
(-3,2)
Step-by-step explanation:
It was correct on mine
The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).
Now,
The coordinate of A' after dilation of k = 1/3 is,
⇒ (1/3 × - 3, 1/3 × 2)
⇒ (- 1, 2/3)
⇒ (- 1, 0.67)
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ2
please help im confused
Answer:
B) t = l / pr
Step-by-step explanation:
l = prt
l / pt = t
Change from multiplication to division
=== Thanks ===
solve the equation
7x^2+21=0
A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many hours can the driver travel before emptying a full 35 gallon gas tank?
Answer:
13.75 hours
Step-by-step explanation:
First, find how many km the driver can travel:
11(35)
= 385
Then, divide this by 28 to find how many hours the driver can travel:
385/28
= 13.75
So, the driver can travel 13.75 hours
752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answer:
188
Step-by-step explanation:
752 x 25% = 188
mZ1 = 6x and mZ3 = 120 Find the value of x when p is parallel to g.
Answer:
20
Step-by-step explanation:
m Z1=mZ3 = 120
120÷6=20
X=20
Last year, Lashonda opened an investment account with $7200 . At the end of the year, the amount in the account had decreased by 24.5% .How much is this decrease in dollars? How much money was in her account at the end of last year?
Answer:
1. $17642. $5436Step-by-step explanation:
Step one:
given data
Initial account balance= $7200
we are told that the decrease was by 24.5%
Step two:
1. How much is this decrease in dollars?
let us solve for 24.5% of $7200
=24.5/100*7200
=0.245*7200
=1764
the decrease is $1764
2. How much money was in her account at the end of last year?
the final account balance is
=7200-1764
=$5436
If two lines are perpendicular to each other, do they lie in the same plane?
73 is what percent of 800
Answer:
0.09125%
Step-by-step explanation:
Divide 73 by 800 and you will get 0.09125
Answer:
It should be %9.75
Find the measure of the missing angles.
Answer:
153* for both
Step-by-step explanation:
This makes a circle, which is 360*. One angle is given, and it is 27*. If the angle on the opposite side is the same, the total degrees so far would be 54.
Say b and c were equal. Then, the remaining 306* would be split even among them. 306/2 is 153.
Therefore, 153* is the correct answer.
Hope I helped!!!
Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution and the amount of 7% solution she should mix to get this solution
Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
6x(2x+y-5) rewrite as a sum
Answer: 12x^2+6xy−30x
^=power sighn
Step-by-step explanation:
6x(2x+y−5)=(6x)(2x+y+−5)=(6x)(2x)+(6x)(y)+(6x)(−5)=12x^2+6xy−30x
Isaiah and his children went into a grocery store and he bought $10 worth of apples and bananas. Each apple costs $2.50 and each banana costs $0.50. He bought a total of 8 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Isaiah bought.
Answer:
x=3
y=5
Step-by-step explanation:
x+y=8
x=8-y
2.5(8-y)+0.5y=10.00
20-2.5y+0.5y=10.00
20-2y=10
-2y=-10
-y=5
y=5
Replace y with 5:
x+y=8
x+5=8
x=3
Increase 270 by 20%
Answer:
first find 20 percent of 270
270 times 20 divided by 100
5400 divided by 100
54
270 plus 54
324 is your final answer
-hope this helps!
Answer:
324
Step-by-step explanation:
10% of 270=27
27*2=54
20%=54
270+54=324
5. How many solutions does the equation
7x + 3x – 8= 2(5x – 4) have? Explain.
Answer:
Your answer is: Infinitely Many
Any value of x makes the equation true. Also, they are all real numbers.
Step-by-step explanation:
If you are solving to find all Complex Number Solutions: ↓
Solve the equation to find all of the complex solutions and that means that equation will be always true.
Hope this helped : )
Which statement about fractions equivalent to One-half is always true?
The numerator is twice the denominator.
The denominator is twice the numerator.
The denominator is equal to the numerator.
The numerator is equal to one less than the denominator.
Answer:
B. The denominator is twice the numerator.
Step-by-step explanation:
Simplify the square root of 18
Answer:
18 has the square factor 9. 18 = 9 · 2. is now simplified.
So the Last one
Step-by-step explanation:
Which number is equivalent to (1/3)^-4
A.12
B.81
C.1/12
D.1/81
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81
Which is true about the domains and ranges of the functions f(x) 1/8√x= and g(x) = 8√x?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answer:
A. They have the same domain and range.
Step-by-step explanation:
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