Answer:
x= 3
Step-by-step explanation:
Given data
Ratio= 5:2:x
Combined ratio= 5+2+x
= 7+x
Total amount of money= $15000
Let us apply the part to all method
Hence for Matthew whose share = $7500
5/7+x= 7500/15000
Cross multiply we have
7500*(7+x)= 15000*5
52500+7500x= 75000
Collect like terms we have
7500x= 75000-52500
7500x=22500
x= 22500/7500
x=3
Hence the value of x= 3
a rectangular prism has a lenghth of 9 inches a width of 4 inches and a height 1 1/2 inches the prism is filled with cubes that have edge lengths of 1/2 inches how many cubes are needed to fill the rectangular prism please help man
108 cubes would be needed to fill the prism
Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)
Correct question is;
Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)
Answer:
GCF = 5x² + 8x - 9
Step-by-step explanation:
The given polynomial is;
10x³ + 16x² - 18x
First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.
The greatest number is 2.
Secondly let's inspect the variables to see what we can factor out.
They all contain x. Thus, x is a factor.
Thus, we will divide each term by 2x to obtain the GCF of the polynomial.
GCF = (10x³/2x) + (16x²/2x) - (18x/2x)
GCF = 5x² + 8x - 9
y is directly proportional to the square root of x
x
If
y
=
60
when
x
=
36
find,
x
when
y
=
80
Answer:
Step-by-step explanation:
y=k[tex]\sqrt{x}[/tex]
60=k[tex]\sqrt{36\\}[/tex] =k6
k=60/6 =10
This is your equation
y=10[tex]\sqrt{x}[/tex]
Put the numbers in
80=10[tex]\sqrt{x}[/tex]
80/10=8 then you have to square this so
[tex]8^{2}[/tex]=64
x=64
hey peeps i'll give you a brainliest & 25 pts for these answers plss help a dum b b out <333
you know that your line is perpendicular to the line with equation y equals 3x + 5 right whenever a line is perpendicular to another perpendicular not parallel to the line has a negative slope of the other line for example if you had a line with slope 2 x in the line perpendicular to that would have slope -1 / 2X so then you line in your question has slope -1 / 3 x by doing the Rococo of 3 and adding a negative sign to your equation sulfur looks like this y equals negative 1 / 3 x + B where is B is a constant 3 all you have to do is solve for b is a plug in the coordinate values 6 equals x minus -2 equals one in rearrange y equals -1 / 3 x + B negative two equals negative one over three 6 plus b negative two equals negative two plus be there for me easy roast F4U equation of the line is y equals -1 / 3 x
A survey found that women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also found that men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts (a) through (c) below.
Complete question :
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.
1-What percentage of adult men can fit through the door without bending?
2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below
A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.
B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.
C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.
Answer:
A.) 0.135%
B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
C.)
Step-by-step explanation:
Percentage of adult men that can fit the door without bending :
Obtain the Zscore :
Mean height of men, m = 67.5
Standard deviation, s = 3.7
Zscore = (x - m) / s ; where x = 56.4
Zscore = (56.4 - 67.5) / 3.7
Zscore = - 11.1 / 3.7
Zscore = - 3
P(Z < - 3) = 0.0013499 (Z probability calculator)
P(Z < - 3) = 0.0013499 * 100% = 0.13499%
Plzzz help!!! ill givee brainliest!!!!
A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) a 2 was not multiplied by x b 2 was not multiplied by 5 c Incorrect sign was used for the first term d Incorrect sign was used for the second term
Answer:
b) 2 was not multiplied by 5
Step-by-step explanation:
Correct answer: 2x + 10
LINKS = reported ,, anyways I’ll give brainliest if ur right
Find the volume of this sphere.
Round to the nearest tenth.
7in
Formulas for Spheres
S.A. = 41112
Varr
? 1 in 3
Answer:
1436.02
Step-by-step explanation:
Factor by grouping plss help
Answer:
(5 x + 7)(x^2 + 3)
Item 3 There is a 40% chance that weather causes one or more days of school to be canceled each year. Use the table of simulated values to find the experimental probability that weather will cause a school to be canceled in at least three of the next four school years. Use the digits 1 through 4 as years with a cancellation.
The experimental probability is____%
Answer:
16%
Step-by-step explanation:
A parabola has a vertex at (-6, 2) and opens down. Which of the following represents the
equation of the axis of symmetry for this parabola?
Answer:
I don't see any choices but I think the axis of symmetry is x=-6.
Step-by-step explanation:
In ΔQRS, q = 960 cm, r = 420 cm and ∠S=31°. Find the area of ΔQRS, to the nearest square centimeter.
Answer: 103832
Step-by-step explanation:
How do you find percentages?
Step-by-step explanation:
if you have 3/4 you divide the part, 3, by the whole, 4
3 ÷ 4 = 0.75
then multiply 0.75 by 100, 75, then add a percentage sign: 75%
What is the total surface area of this square pyramid?
204 cm2
384 cm2
72 cm2
240 cm2
Answer: 384 cm²
Step-by-step explanation:
Took test
Answer:
Answer: 384 cm²
Step-by-step explanation:
Billy got 4 hits in his last 20 at-bats. Based upon this information, how many hits would you expect Billy to get during his next 50 at-bats?
Answer:
10
Step-by-step explanation:
4 hits x hits
_______ = _________
20 at-bats 50 at -bats
Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.
The polygons name is an octagon and is not a regular polygon
WILLL GIVE BRANLIEST PLSSSSSSSSSSSSSSSSSSSS
Answer:
100°
Step-by-step explanation:
If my calculations are correct, I suppose the final answer will be 100 degrees.
If you see it, It's clearly mirrored.
Find the volume of the cone in terms of pi.
405TT cm3
324TT cm3
72TT cm3
Answer:
324πcm³
Step-by-step explanation:
Volume=⅓πr²h
⅓*π*9²*12
=324πcm³
A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).
Answer:
2/9
Step-by-step explanation:
The sketch shows part of the graph y=ab^x
Answer:
a = 3, b = 2
[tex]y = 3\cdot 2^x[/tex]
Step-by-step explanation:
[tex]y = ab^x\\3 = ab^0\\12 = ab^2\\~\\3=ab^0=a\cdot 1 = a\\a = 3\\~\\12 = ab^2 = 3b^2\\4 = b^2\\b = 2 \vee b = -2[/tex]
but we know from the graph being defined and positive, that b cannot be -2
b = 2
The value of a is 3 and value of b is 2.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph is y=abˣ
The points with coordinates (0, 3) and (2, 12) lie on the graph.
We need to find the values of a and b.
The point (0, 3)
3=ab⁰
a=3
Now point (2, 12)
12=ab²
Now plug in a value as 3
12=3b²
Divide both sides by 3
12/3=b²
4=b²
b=2
Hence, the value of a is 3 and value of b is 2.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
Can someone please help me with math.
The answer is B, Graph B is the linear graph
It’s due in 2 minutes
Answer:
m a t h w a y
Step-by-step explanation:
Find the measure of angle b
please help:)
The area of a trapezoid is (1/2)h(b1 + b2). A trapezoid has an area of 50 in2. If the bases are 12 and 8 inches, what is the height?
Answer:
5 in.
Step-by-step explanation:
Given that
b1 = 12
b2 = 8
A = 50
Formula is (1/2)h(b1 + b2), on substituting
50 = 1/2 * h(12 + 8)
50 = 1/2 * h(20)
100 = 20h
h = 100/20
h = 5
The height is 5 in
What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?
Doc Below
Don drives his car 25 km east and then 312 km south. How far is he from his starting point? Round to the nearest tenth.
(1/2a - 1/3b) - (1/3b - 1/2a)
Answer:
a- 2b/3
Step-by-step explanation:
1) Remove the parentheses and combine like terms
What relationship CANNOT be used to prove that AABC is congruent to ADEF?
Help please!!!
Answer:
D) Angle angle angle
What is the value of variable for -4(y - 2) = 12
Explain please
Answer:
-4(y - 2) = 12
Standard form:
−4y − 4 = 0
Factorization:
−4(y + 1) = 0
Solutions:
y = −4
4
= −1
Step-by-step explanation:
What is the area, in square meters, of the isosceles trapezoid below? 15.8 m 5-4 m 6.6 m Answer: A = ____ m squared
Answer:
5.618773 m2
I hope that this is the answer.
Answer:
answer is 60.48 m squared
Step-by-step explanation:
use the formula
a=1/2(b1+b2)h
a=1/2(15.8+6.6)h
a=1/2(22.4*5.4)
a=1/2(120.96)
a=120.96/2
a=60.48m
Number 8 please help 10 points no links pleAse