Answer:
11/30
Step-by-step explanation:
Do you need an explanation?
roblem #7
A system of linear equations is shown.
2y=6x+ 4
y = 3x-4
Explain how many solutions this system of equations has.
Answer:
no solution.
Step-by-step explanation:
1) in order to explain, the given system should be resolved:
[tex]\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.[/tex]
2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.
The diagonals of quadrilateral EFGH intersect at D(1,3). EFGH has vertices at E(2,6) and F(-4,5). What must be the coordinates of G and H to ensure that EFGH is
a parallelogram?
Answer:
G(0, 0), H(6, 1)Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
Point D is the midpoint of both diagonals.
Endpoint of EG is point G with coordinates (x, y):
(2 + x)/2 = 1 ⇒ 2 + x = 2 ⇒ x = 0(6 + y)/2 = 3 ⇒ 6 + y = 6 ⇒ y = 0G = (0, 0)Endpont of FH is point H with coordinates (x, y):
(-4 + x)/2 = 1 ⇒ - 4 + x = 2 ⇒ x = 4 + 2 ⇒ x = 6(5 + y)/2 = 3 ⇒ 5 + y = 6 ⇒ y = 6 - 5 ⇒ y = 1H = (6, 1)How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6. 2%? Round to the nearest whole number
Answer:
38.28 years
Step-by-step explanation:
The computation of the time period is shown below:
Given that
RATE = 6.2%
PV = $500
PMT = $0
FV = $5,000
The formula is shown below:
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 38.28 years
Hence, in order to save $5,000 it would take 38.28 years
Solve for x.
0.2x – 3.2
= 1.8
1
5
X = ?
Answer:
X = 25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Help pls!!!!!!!!!
ddddddddddddddd
Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done
Answer:
y = 4x -16
Step-by-step explanation:
The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).
m = (y2 -y1)/(x2 -x1)
m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines
The point-slope equation for the line with slope 4 through point (4, 0) will be ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept
y = 4x -16 . . . . . . expanded to slope-intercept form
Please help as soon as possible
Answer:
[tex]9 \times 3 = 27 \\ 15 \times 6 = 90 \\ = 30.255 \\ 49 \times 3.14 = 153.86 \\ 153.86 + 30.255 + 27 = 211.115[/tex]
The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths
Answer:
5:6
Step-by-step explanation:
To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.
[tex]\sqrt[3]{\frac{125}{216} } =\frac{5}{6}[/tex]
5 : 6
Find the side labeled x.
help please
Answer:
x=7.51
Step-by-step explanation:
Tangent would be the easiest option here in this problem so to do this set up the proportion
[tex] \frac{ \tan(30) }{1} = \frac{x}{13}[/tex]
Cross multiply to get x=tan30(13)
Multiply tan30 by 13 to get the answer to x which is
x=7.51 rounded to the nearest hundredth
A pair of pants has been marked down from $36 to $27.
Answer:
Step-by-step explanation:
The percentage decrease is 25% or 36 subtract 27 gives you 9
The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.
Answer:
8
Step-by-step explanation:
One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.
When we subtract the mean from the given numbers, we find the differences are ...
-1, 1, 3, -3
The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.
how do you do one step equations?
If the number of bacteria in a
colony doubles every 25 hours
and there is currently a population
of 10,000 bacteria, what will the
population be 75 hours Trom now?
Answer:
The population of 75 hours from now would be 40,000.
Step-by-step explanation:
The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.
Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.
How much more does Sofia spend than Flynn?
Answer:
Step-by-step explanation:
A. $0.08
Step-by-step explanation:
I would find out the total price of potatoes for each person:
Sofia: $0.85 x 3.8lb = $3.23
Flynn: $0.75 x 4.2lb = $3.15
To get the final answer, I would subtract to find the difference between the two prices.
$3.23 - $3.15 = $0.08
Help me with this please I will give you extra points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Total outcomes in which Billy can get 5 or more : 2 outcomes
Total outcomes = 6
So, the probability of getting 5 or higher is ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{favorable \: outcomes}{total \: outcomes} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3} [/tex]
Therefore, the correct choice is C
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Hall makes 2 free throws for every 9 attempts. How many free throws can you expect hall to make if he shoots 45 times?
Answer:
10 free throws
Step-by-step explanation:
2/9 = ?/45
You can multiply 2 by 5 since multiplying 9 by 5 gives you 45
2x5=10
10/14
Hope this helps :)
What is the value of x?
Step-by-step explanation:
By the secant tangent theorem,
21(21+25)=x^2
x^2 = 966
x = sqrt(996)
Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have left over?
The amount of orange that Manny and Josh have leftover after eating lunch is 1.
What are fractions?A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below
How much orange is leftover?Oranges Manny has left = 1 - 4/9 = 5/9
Oranges Josh has left = 1 - 5/9 = 4/9
Oranges they both have left = 5/9 + 4/9 = 1
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
What is the area of a sector with a central angle of 8π11 radians and a radius of 7. 2 ft? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The area of a circle is found as;
A = πr²
A = π(7.2 ft)²
A = 162.78 ft²
The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;
[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]
Hence the area of the sector will be 59.19 ft².
To learn more about the area of the sector refer to the link;
https://brainly.com/question/1582027
a sphere and a cylinder have the same volume. each figure has a radius of 13. what is the height of the cylinder?
Answer:
V = 4/3 π R^3 volume of a sphere
V = π R^2 H volume of cylinder area of base X height
4/3 π R^3 = π R^2 H equal volumes
H = 4/3 R relationship of height to radius for cylinder
H = 4/3 * 13 = 52 / 3 cm = 17 1/3 cm
Simplify 3a+2(4a-b)
please simplify this equation
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
3a+2(4a-b)=
3a+8a-2b=
[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]
xLasersx✨
I need the answer please
Answer: sqrt(182)
Step-by-step explanation:
A tank that is 20% full contains 125 gallons of water. How many gallons would be needed to fill the entire tank? How many gallons are there if thetank was 30% full? What percent of the tabk is full if tgerd are 500 gallons?
Answer:
625
Step-by-step explanation:
becuase 20% is equivilant to 1/5 you need to multiply by 5 to get 1t or full.
part b: 187.5
part c: 125 gallons is 25%. this is because you can fit 4 of it into one 500 gallon tank
Answer:
625 gal, 187.5 gal, 80%
Step-by-step explanation:
[tex]\frac{125}{x}[/tex]=[tex]\frac{20}{100}[/tex] 125*100/20=625
[tex]\frac{x}{625}=\frac{30}{100}[/tex] 30*625/100=187.5 or 625*.3=187.5
[tex]\frac{500}{625}=\frac{x}{100}[/tex] 500*100/625=80
find the surface area of the triangular prism
Answer:
97.79ft
Step-by-step explanation:
Adding the area of every side together gets the surface area of the whole shape.
Which ordered pair would form a proportional relationship with the point graphed below?
(–40, 20)
(–10, –20)
(15, –30)
(5, –15)
Answer:
(c) (15, -30)
Step-by-step explanation:
A proportional relationship has the equation ...
y = kx
The value of the constant of proportionality is the ratio of y to x:
k = y/x = 40/-20 = -2
__
The point that is on the line y = -2x is the point (15, -30).
6x4y how do I solve this?.
Answer:
24y
Step-by-step explanation:
Multiple 6x4 to get 24
and then put the y in to
get your answer
solution÷
6×4y
6×4y=0
multiply 6×4y
24y=0
now send 24 to the right side and divide
y=0÷24
therefore,y=0
which trig ratio
determine which trig ratio to use to solve for x
Answer:
Step-by-step explanation:
1.cos
2.sin
3.cos
4.tan
5.sin
6.tan
Step-by-step explanation:
remember the basic trigonometry setup ?
the norm circle (radius = 1) with a horizontal and a vertical line through the center of the circle.
and then there is an angle at the center indicated by the horizontal line and an inclined (by that angle) radius line connecting the center and the circle arc.
this inclined radius line is then the baseline (Hypotenuse) of a right-angled triangle, and the legs of that triangle are sine and cosine of the angle at the center (sine is the vertical leg, cosine is the vertical leg).
in essence (at least it works for me), when given such right-angled triangle problems, I always try to rotate and/or flip this triangle until it looks like the described situation above.
the only other thing to remember is that for triangles inside circles with a different radius than 1, everything is multiplied by the actual radius (it really happens also for the norm circle, but multiplying by 1 does not really change anything, right ?).
so, now for the given problems :
1)
x is the radius of the circle.
we can make 68° the defining angle of that trigonometric situation. so, the top right vertex would be the center of the circle with radius x.
then
30 = cos(68)×x
x = 30/cos(68)
= 80.08401488...
2)
60 is the radius of the circle.
x is the defining angle.
then
15 = sin(x)×60
sin(x) = 15/60 = 1/4
x = 14.47751219...°
3)
x is the radius of the circle.
22° is the defining angle.
then
14 = cos(22)×x
x = 14/cos(22)
= 15.0994864...
4)
the unnamed side is the radius of the circle. let's call it "s".
54° is the defining angle.
then
47 = cos(54)×s
x = sin(54)×s
x/47 = sin(54)×s / (cos(54)×s) = sin(54)/cos(54) = tan(54)
x = 47×tan(54) or 47×sin(54)/cos(54)
= 64.68995026...
5)
14 is the radius of the circle.
41° is the defining angle.
then
x = sin(41)×14
= 9.184826406...
6)
the unnamed side is the radius of the circle. let's call it "s".
x is the defining angle.
then
57 = cos(x)×s
9 = sin(x)×s
9/57 = sin(x)×s / (cos(x)×s) = sin(x)/cos(x) = tan(x)
x = 8.972626615...°
geometry help me please
Answer:
2448
Step-by-step explanation:
because 12×12=144×17=2448
PLEASE ANSWER I DONT KNOW THE ANSWER
Answer:
D. 201.1
Step-by-step explanation:
We see that the radius o the given circle is 16, so we do 16^2*pi
then we multiply that be 90/360
which rounds to 201.1
A cube pyramid has 7 at its base and 9.4 for its height what is the answer?
Answer:
Assuming this is volume, the answer is 153.33
Step-by-step explanation:
In a cube pyramid, the sides of the base are all the same, so if one side is 7, all of them are seven. To find the area of the base, the formula Area=Length x Width is used. Because the base is a square, the formula is simplified into Area=Side Length x Side Length. This gives us 49. The next step is to multiply this base times the height, 9.4, which is 460.6. However, this is the volume of a rectangular prism with those dimentions. A pyramid is a third of a rectangular prism. So, the answer is multiplied by 1/3, which is 153.33.
Hope this helps