Answer:
Suman 37 km/hr
Narayan 43 km/hr
(extremely sorry if this is wrong!!)
Step-by-step explanation:
We can use the formula distance divided by time is speed.
480/6 = 80.
Their speeds must add up to 80 km/hour
Lets set suman as a variable, lets say s.
Narayan has a speed 6 more than suman so we say 6+s
6+s+s = 80
subtract 6 from both sides
s+s = 74
add like terms
s+s = 2s
2s = 74
divide both sides by 2.
74/2=37
s=37
Suman's speed is 37 km/hr.
Narayan's speed would be 6 more than Suman's so we do 6+37
which makes 43 km/hr
Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.
Answer:
a) 21/50 -> 42%
b) 7/10 ->70%
c) 3/5 -> 60%
d) 59/100 -> 59%
Step-by-step explanation:
Complete the solution of the equation. Find the
value of y when x equals 1.
927y=-12
Enter the correct answer
OOD
DONE
?
What is the slope of the line shown below?
10 -
(3,9)
(-4,2)
В. -6
ОООО
С. -1
D. 1
Answer:
D. 1
Step-by-step explanation:
Slope (m) formula:
m = y2 - y1 / x2 - x1
m = 2 - 9 / -4 - 3
m = -7/-7
Negative ÷ Negative = Positive
m = 1
If two lines have an identical slope, and are 3 units apart on the x-axis, where will they cross?
Answer:
no
Step-by-step explanation:
If the lines have identical slopes then they are parallel and do not intersect.
What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer
Answer:
V = 0.375 units³
Step-by-step explanation:
The volume of a rectangular prism is V = lwh.
Where l is the length, w is the width, and h is the height.
Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.
V = lwh
V = (1)(¾)(½) units
V = (⅜) units
V = 0.375 units
Answer:
7/8
Step-by-step explanation:
A regular hexagon abcdef is shown. Work out the size of angle x
Please help
Answer:
30
Step-by-step explanation:
cause the angles in a hexagon should add up to 720degrees(area) which means each angle in a hexagon is 120.
Angles in a triangle add up to 180
we know that A is 120 and the angles of F and B are equal (this is an assumption) so 180-120=60 then 60/2 (because we have 2 angles) 30
So X=30
(sorry if the answer is incorrect)
Answer:
30
(6-2)(180)/6
=120
∆FAB=180°
180-120=60
x=60/2
=30
What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42
Answer:
410
Step-by-step explanation:
Inputs are x's
Substitute the 18 where you see the x
y = 23(18) - 4
y= 414 - 4
y = 410
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.
1 1/3 × 4
= 4/3 × 4
= 16/3
= 5 1/3
Answer:
5 1/3
Step-by-step explanation:
1 1/3 * 4
Change 1 1/3 to an improper fraction
1 1/3 = (3*1+1)/3 = 4/3
4/3 *4 = 16/3
Change to a mixed number
3 goes into 16 5 times with 1 left over
5 1/3
x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.
Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
help please, 17 points for this question
Answer:
24 and 15
Step-by-step explanation:
Answer:
it is not 17 points for this question it is 9 points.
Find the simple interest on $600.00 saved for 2 years 8 months at 5℅ per annum.
Answer:
$80
Step-by-step explanation:
I = Prt
P = 600
r = 5%
t = 2 yrs and 8 mos = 8/3 yrs
I = 600(0.05)(8/3)
I = $80
Answer:
I believe the answer is $80.001.
Step-by-step explanation:
i used a calculator
SURFACE AREA PLEASE HELP
Answer:
486 yd^2
Step-by-step explanation:
Surface area is just finding the area of each face in a figure and adding it all up.
For the surface area of a cube, use this formula:
(a^2) 6
(a is the side length) a^2 is the area of one face of a cube, then multiply it by 6 since there are 6 faces on a cube.
Use formula with given dimensions:
(9^2) 6 = 486
Surface area is measured in square yards
(yards in this case)
Therefore, the surface area of the cube is 486 yd^2
Hope this helps!
A car company sells a scale model to of the size of one of its cars.
Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000
Answer:
[tex]w = 13500[/tex] --- real windscreen
[tex]v = 408[/tex] --- scale volume
Step-by-step explanation:
Given
[tex]k = \frac{1}{10}[/tex] --- scale factor
See attachment
Required
Complete the table
To get the windscreen (w) of the real car, we do the following computation
[tex]w = \frac{w_{scale}}{k^2}[/tex]
This gives:
[tex]w = \frac{135}{(1/10)^2}[/tex]
[tex]w = \frac{135}{1/100}[/tex]
[tex]w = 13500[/tex]
Next, the volume (v) of the scale mode
We make use of the following computation
[tex]v = v_{real} * k^3[/tex]
So, we have:
[tex]v = 408000 * (1/10)^3[/tex]
[tex]v = 408000 * 1/1000[/tex]
[tex]v = 408[/tex]
out of 75 student 3 were a scent what percentage was present
Answer:
To find a percentage, divide the number present by the total number of students, then multiply that number by 100.
Answer:
96% were present.
Step-by-step explanation:
75/100 , 72/? Find percent (?)
(72*100 / )75
96%
Please help I’ll give branliest
Answer:
optin d) 8
Step-by-step explanation:
[tex]2 \times 2 \times 2 = 2^3[/tex] [tex]= 8[/tex]
The best description of a dilation of a figure is:
A. an enlargement or a reduction of the figure
B. a slide of the figure
C. a turning of the figure about some fixed point
D. a mirror image of the figure
Answer:
A. an enlargement or a reduction of the figure
Step-by-step explanation:
The answer is choice A.
dilation A. an enlargement or a reduction of the figure
translation B. a slide of the figure
rotation C. a turning of the figure about some fixed point
reflection D. a mirror image of the figure
You decide to invest $800 for 6 years and you have a choice between two accounts. The first
pays 7% per year compounded monthly. The second plan pays 6.85% per year, compounded
continuously. Which is the better investment? Explain. *
Answer:
the first plan is better
this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher
2. the future value of option 1 is higher than that of option 2
Step-by-step explanation:
The effective annual rate can be used to determine which option is better
the option with the higher effective annual rate is the better option
Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.07/12)^12 - 1 = 7.23%
option 2
EAR = e^r - 1
2.7182818^0.0685 - 1 = 7.09%
2nd method of determining the better investment is to determine the future value of each option
Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08
option 2 = 800e^(0.0685 x 6) = 1206.60
option 1 has the higher future value
Answer:6757.62
Step-by-step explanation:
use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.
what is the solution to the equation below?
please help!!
Answer:
Have you tried photo math.? It can help you find the answer
Step-by-step explanation:
here is the answer bae. Feel free to ask for more
The two triangles are similar. Create and solve proportions (two of them) to find the missing side measures. Drag and drop your answers.
Answer:
4
Step-by-step explanation:
the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The ladder makes an angle of 64 ∘with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer:
31.2 ft
Step-by-step explanation:
sin = opp/hyp
sin64 = 28/hyp
hyp = 28/sin64
use calculator
hyp = 31.15285433330529
Rounded
31.2 ft
The length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.
The ladder, the distance from the wall to the base of the ladder and the distance from the ground to the electric box forms a right angled triangle.
Trigonometric ratios shows the relationship between the sides and angles of a right angled triangle.
Let x represent the length of the ladder, hence:
sin(64) = 28 feet/x
x = 28 feet / sin(64)
x = 31.2 feet
Hence the length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.
Find out more at: https://brainly.com/question/25122825
circle the terms in the expression 6 + x + 3x + 5x2
Step-by-step explanation:
terms are the elements separated by the plus or minus signs.
Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?
Answer:
a = 3, b = - 2 , c = 0
Step-by-step explanation:
The equation is
[tex]1 = - 2 x + 3 x^2 + 1 \\\\3 x^2 -2x +0 = 0[/tex]
By comparing with the standard equation
[tex]ax^2 + bx + c = 0[/tex]
So,
a = 3, b = - 2 , c = 0
factorise using suitable identities
x^2 (y+z)^2
Answer:
Step-by-step explanation:
[tex]x^2 ( y +z)^2 = x^2 (y+z)(y+z)[/tex] [tex][ \ (a+b)^2 = (a+b)(a+b) \ ][/tex]
[tex]x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))[/tex] [tex][ \ a^2 - b^2 = (a-b)(a+b) \ ][/tex]
[tex]=(x-y-z)(x+y+z)[/tex]
The equation y1=x^2−4x represents Function 1. The graph of Function 1 is shown
Function 2 is represented by the equation y2=x−6. Which values are solutions to y1=y2? Select each correct solution.
x=−6
x=0
x=1
x=2
x=3
x=6
Answer:
x = -1, 6
Step-by-step explanation:
Equation of function 1 is,
y₁ = x² - 4x
Equation of function 2 is,
y₂ = x - 6
If y₁ = y₂
x² - 4x = x - 6
x² - 4x - x + 6 = 0
x² - 5x + 6 = 0
x² - 6x + x + 6 = 0
x(x - 6) + 1(x + 6) = 0
(x + 1)( x - 6) = 0
x = -1, 6
Answer:
x = 2 and x = 3
Step-by-step explanation:
y1 = 2^2 - 4(2)
2 x 2 - 8= -4
y2 = 2 - 6 = -4
y1 = 3^2 - 4(3)
9 - 12 = -3
y2 = 3 - 6 = -3
what is the hcf of 12 45 and 75
Answer:
3
HCF of 12, 45 and 75 by Prime Factorization
As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.
Step-by-step explanation:
( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4
Answer:
See below.
Step-by-step explanation:
6. 3 times a number (x) is greater than 10
3x > 10
7. A number (x) added by 4 is less than or equal to 7
x+4[tex]\leq[/tex]7
8. 6 is less than a number (x) divided by 6
6 < x/6
9. The ratio of 10 and a number (x) is greater than or equal to 5
(10/x) [tex]\geq[/tex] 5
10.The sum of x and 7 is less than 4
x + 7 < 4
How much shredded newspaper did each person at the table receive?
Answer:
Hsbsbbsysbwisuqiqiqjqjqjqjqjjqjqjqj1 1b1bh2jo
What is the surface area of a sphere with a radius of 19 units?
Hope this helps. Please mark brainliest if it did
Answer: 4536.46
2.8-5.3n - 4n + 5 =
plss help again
Thank you!
Answer:
7.8-9.3n
Step-by-step explanation:
2.8-5.3n - 4n + 5
Combine like terms
2.8 +5 -5.3n -4n
7.8-9.3n
Answer:
In simplest form: 7.8 - 9.3n
Step-by-step explanation:
Equation: 2.8 - 5.3n - 4n + 5
Combine like terms: 2.8 + 5 = 7.8
-5.3n + -4n = -9.3n
Put it all together: 7.8 - 9.3n
Hope this helps! :)
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A
C
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Answer:
umm, sorry! but what are you trying to ask??