Answer:
0.8022
Step-by-step explanation:
difference=subtraction
so we take 1 - 0.1978 and it equals 0.8022
how many solutions does the equation 7x-4=7x+15
Answer:
No solution
Step-by-step explanation:
7x-4=7x+15
-4 = 15 = not true
Answer:
0 because is you -7x from both sides you get -4=15 which doesn't work.
Step-by-step explanation:
A retired woman has $80,000 to invest but needs to make $9,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it
she wants to put in a CD that pays 7%.
Set up and solve the equation for how much the woman should invest in each option to sustain exactly a $9,000 annual return.
bond $ ?
CD $?
Answer:
bond $42,500
CD $37,500
Step-by-step explanation:
While x is investment in bond in k$
y is investment in CD in k$
[tex]x+y=80\\.15x+.07y=9[/tex]
Solving gives
x=42,5
y=37,5
A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Answer:
[tex]area=\frac{85}{4}feet^{2}[/tex]
Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.
[tex]perimeter=18\frac{1}{2}\\\\length=5[/tex]
[tex]2(length+width)=perimeter[/tex]
Substitute,
[tex]2(5+width)=18\frac{1}{2}[/tex]
Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.
[tex]2(5+width)=\frac{37}{2}[/tex]
Inverse operations,
[tex]2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}[/tex]
3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).
[tex]length=5\\\\width = \frac{17}{4}[/tex]
[tex]length*width=area[/tex]
Substitute,
[tex]5*\frac{17}{4}\\\\=\frac{85}{4}[/tex]
[tex]area=\frac{85}{4}feet^{2}[/tex]
solve the formula for x
Gx +Hy=J
Answer:
x = [tex]\frac{J-Hy}{G}[/tex]
Step-by-step explanation:
This question is from the topic subject of formula. It implies expressing x in terms of G, H y and J.
Given that: Gx + Hy = J
Subtract Hy from both sides to have;
Gx + Hy - Hy = J - Hy
⇒ Gx = J - Hy
Then divide both sides by G, so that we have;
x = [tex]\frac{J-Hy}{G}[/tex]
Therefore,
x = [tex]\frac{J-Hy}{G}[/tex]
i need help with finding slopes from graphs
Y=2+-4x
Step-by-step explanation:
Hope ot helps
2^14=16,384 use this information to work out 2^15
Answer:
32768
Brainiest plz :)
A cone has a volume of 414.48 cubic yards and a height of 11 yards. What is its radius?
Answer:
r ≈ 6
Step-by-step explanation:
r= 414.78
π x 11
≈ 5.99848
Because of this, the answer is rounded up to 6, but the exact answer is about 5.99848
Answer:
this isnt related to the question but i hope ur having a good day
Step-by-step explanation:
Solve for x.
3(2)x−24=0
Answer:
I love algebra anyways
the steps are in the picture with the ans
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Heeellllppppp!!!!
(9,-4); slope=-2/3
Answer:
(y - y') = m ( x - x') [m = slope]
y - (-4) = 2/3 (x - 9)
(y +4) = 2/3 (x - 9)
3(y +4) = 2(x - 9)
3y +12 = 2x - 18
2x - 3y - 18 - 12 =0
2x - 3y - 30 =0
hope it helps ☺️☺️
The equation of the line passing through (9, -4) having slope = -2/3 will be y = (-2/3)x + 2
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
Given is a line passing through (9, -4) having slope=-2/3.
The general equation of a straight line is -
[y] = [m]x + [c]
Now -
m = - 2/3
and
- 4 = -2/3 x 9 + c
- 4 = - 6 + c
c = - 4 + 6
c = 2
The equation will be -
y = (-2/3)x + 2
Therefore, the equation of the line passing through (9, -4) having slope = -2/3 will be y = (-2/3)x + 2
To solve more questions on straight line, visit the link below-
https://brainly.com/question/29030795
#SPJ2
A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?
400 mph
402 mph
429 mph
440 mph
Answer:
402 mph
Step-by-step explanation:
Draw a right triangle with 400 and 40 as the two legs.
You know this is a right angle because 45 degrees NE is perpendicular to 45 degrees NW. (imagine a compass)
So, the two side lengths are 400 and 40
Using the Pythagorean theorem, (a^2 + b^2 = c^2) you can see that the answer is 401.995, or 402
The ground speed of the plane is 402 mph , Option B is the correct answer.
What is a Right Angled Triangle ?A right angle triangle is a triangle with one of its sides 90 degree.
It is given that
airplane is travelling at speed of 400mph in the direction N 45° E
wind is blowing at 40 mph in the direction N 45° W
The resultant of these two vectors will be the ground speed of the plane.
As they both are travelling in perpendicular directions ( NE is perpendicular to NW)
A right angled Triangle as attached in the image will be formed
Hypotenuse by Pythagoras theorem will give the ground speed of the plane
Hypotenuse = [tex]\sqrt { 40 ^2 + 400^2}[/tex]
Hypotenuse = 401.99 mph
Therefore the ground speed of the plane is 402 mph.
To know more about Right Angled Triangle
https://brainly.com/question/3770177
#SPJ2
The diagram shows a logo
Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
How many numbers between 4000 and 5000 can be formed with the
digits 2, 3, 4, 5, 6, 7? How many of these numbers are divisible by 5?
Answer:
36 numbers
Step-by-step explanation:
Number of digits in a number between 4000 and 5000 = 4
_ _ _ _
First digit of the number will be filled by 4.
So, the number of ways to fill the first digit = 1
4 _ _ _
If the given number is divisible by 5 then the last digit should be 5.
4 _ _ 5
So, the number of ways that the last digit should be 5 is = 1
Remaining 2 digits between 4 and 5 can be filled by any number given.
Therefore, number of ways that second place can be filled = 6
Similarly, number of ways that the third place of the number can be filled = 6
Now total number of ways = 1 × 6 × 6 × 1
= 36
Therefore, numbers between 4000 and 5000, divisible by 5 = 36
The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm?
Answer:
The area is 90 sq. cm
Step-by-step explanation:
Given
The variation can be represented as:
[tex]A\ \alpha\ l * w[/tex]
Area = 60, when l = 4 and w = 3
Required
Find Area, when l = 6 and w = 3
Represent the variation as an equation
[tex]A = k(l * w)[/tex]
Where k is the constant of variation.
Substitute 60 for A, 4 for l and 3 for w
[tex]60 = k * (4 * 3)[/tex]
[tex]60 = k * 12[/tex]
Make k the subject
[tex]\frac{60}{12} = k[/tex]
[tex]5=k[/tex]
[tex]k=5[/tex]
To get the value of Area when l = 6 and w = 3.
Substitute 5 for k, 6 for l and 3 for w in [tex]A = k(l * w)[/tex]
[tex]A = 5 * 6 * 3[/tex]
[tex]A = 90[/tex]
The area is 90 sq. cm
What is the standard form equation 9(g-5h)
Answer:
9g - 45h
Step-by-step explanation:
9 (g - 5h)
= 9g - 45h
How many sides are there on a standard pencil.
Help plz I don’t know the answer!!
Answer:201 11/21
Step-by-step explanation:
The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.
The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:
4232 divided by 21, often written as 4232/21.
Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:
4232 divided by 21 = 201.523809
The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .
4232 divided by 21 in decimal = 201.523809
4232 divided by 21 in fraction = 4232/21
4232 divided by 21 in percentage = 20152.38095238%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.
Which of the following rational functions are graphed below?
A. F(X)=1/x+4
B. F(X)=4/x
C. F(X)=1/4x
D. F(X)=1/x-4
According to the vertical asymptote of the graph, the rational function is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
A vertical asymptote of a function is a point that is outside of it's domain.
In a fraction, they are the roots of the denominator.In the graph, the vertical asymptote is at x = -4, hence [tex]x = -4 \rightarrow x + 4 = 0[/tex] is a root of the denominator, and the correct option is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
To learn more about vertical asymptotes, you can take a look at https://brainly.com/question/11598999
Answer to your question is A. F(X)=1/x+4
choose the point slope form of the equation
Answer:
Step-by-step explanation:
y+3=1/2(x-6)
During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.
3%
6%
13%
22%
Answer:
22
Step-by-step explanation:
which digit is in the hundredths place in the number 85,607.293×
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Kevin plants a total 72 flowers in a equal row. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row?
Answer:
9
Step-by-step explanation:
9 is the answer bc
6+2=8
72/8=9
(lol I hope I helped)
What is the polar form of -3 + sq rt 3i?
Answer:
(√12,-π/6)
Step-by-step explanation:
r^2 = 9+3 = 12
tanθ = √3/-3 = -1/√3
Answer:
D
Step-by-step explanation:
Correct on edge
An example of an irrational number is
O A. V16
B. V25
C V36
O D. V47
Answer:
i think b is the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
from what I gathered, the V is supposed to be a square root. if this is the case, then D is the only answer that does not produce a rational number. V16 is equal to 4, V25 is equal to 5, and V36 is equal to 6.
Which procedure can be used to solve the equation 540 = 12 z, and what is the solution?
Multiply both sides by 12; the solution is 6,480.
Multiply 12 z by 12; the solution is 540.
Divide both sides by 12; the solution is 45.
Divide 12 z by 12; the solution is 540.
Answer:
C) Divide both sides by 12; the solution is 45.
Step-by-step explanation:
Hope this helps got it right on Edge 2021
Answer:
The correct answer is C
Step-by-step explanation:
7. Which of the following expressions contains like terms?
5xy - 13y
5x - 13xy
5xy - 13x
5xy - 13xy
Answer:
The last one
Step-by-step explanation:
Due to there being xy's in both terms
y= 14 - 0.5x what does y=
Find the equation of a line that passes through the points (-2, -1) and (0, -5)
Answer:
Step-by-step explanation:
slope = (-5-(-1))/(0-(-2)) = (-4)/2 = -2
y+5 = -2(x-0)
y = -2x - 5
Answer:
-2x - 5
Step-by-step explanation:
Caitlyn reduced the size of a rectangle to a width of 3 in.
What is the new height if it was originally 10 in tall and 15
in wide
Answer:
h = 2
Step-by-step explanation:
you know the original rectangle [h = 10, w = 15]
1. The height of 15 inches turned to 3 inches by diving by 5
2. You have to do the same with the height too!
3. 10/5 = 2
The new height is 2 inches.
puzzle times what kind of cheese comes with a house
Answer:
WHAT DOES TGAT EVEN MEAN
Step-by-step explanation:
Answer:
Step-by-step explanation:
Geoff earns 10% commission on his total sales at work. To pay for a concert ticket, Geoff needs to earn $135 in commission. What must Geoff's sales total for the week be?
A. $13.50
B. $135.00
C. $148.50
D. $1,350.00
Answer:6
Step-by-step explanation:
Answer:
D
Step-by-step explanation: