Answer:
Bus charges for 30 people = $98
Step-by-step explanation:
Given:
Car A charges for 2 people = $14
Car B charges for 4 people = $20
Van charges for 8 people = $32
Find:
Bus charges for 30 people
Computation:
Assume;
Fix charge = b
Variable charges = a
So,
2a + b = 14.................................. Eq 1
4a + b = 20 ..............................Eq2
From Eq 1 and 2
a = 3
Variable charges = $3
Fix charge = 8
So,
Bus charges for 30 people = 30a + b
Bus charges for 30 people = 30(3) + 8
Bus charges for 30 people = $98
Which of the following pairs of functions are inverses of each other?
OPTION C is the correct answer.
Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Its on a number line :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
Can you answer this math homework? Please!
Answer:
1. (2.2, -1.35) and (2.2, -1.4)
2. y = 8x - 7
3. infinite number of solutions
4. (2.2,-1.4) (2.2,-1.35)
5. 6
6. (1.33,1)
Step-by-step explanation:
please help! see question below :)
Answer:
I have no clue sorry bro.
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV
Answer:
12
Step-by-step explanation:
because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12
The required value of the PV is 12 in triangle DEF where p is the incenter.
Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.
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There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?
What is the area of the garden?
Answer:
15 feet width of actual garden
360 feet^2 is area
Step-by-step explanation:
Scale in drawing:
width : length
5 : 8
Actual Meausrements:
x: 24
Actual Width = 5:8
x : 24
8x = 24 x 5
8x = 120
120/8 = 15
Area of garden= lxw
15 x 24
= 360 feet^2
Answer from Gauthmath
(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)
Answer:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}
1+cosθ=2cos
2
2
θ
= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos
2
2
(A−B)
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
=RHSRHS
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)
Answer:
This is a negative correlation
Step-by-step explanation:
The graph tells us that as time passes on, less strawberries/Quarts are picked.
Juan, Pedro y Luis construyen un muro de 60 metros de largo. Juan construye el triple de Pedro y Luis el doble de Juan. ¿Cuántos metros construyó cada uno?
Answer:
Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.
Step-by-step explanation:
Juan, Pedro and Luis build a 60 meter long wall. Juan builds triple the size of Pedro and Luis double the size of Juan. How many meters did each one build?
Total length of the wall is 60 m.
Let Pedro make p length of the wall.
Juan make = 3 p
Luis make = 6 p
So,
According to the question
60 = p + 3 p + 6 p
60 = 10 p
p = 6
So, Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.
I need help finding the equation.
Answer:
[tex]y=2^{x}\ -3[/tex]
Step-by-step explanation:
PLS how to do this 3 sums
Answer:
Step-by-step explanation:
7) PQ // RS, RQ is transversal
x = 38 {Alternate interior angles are congruent}
In ΔPQR ,
x + y + ∠P = 180 {Angle sum property of triangle}
38 + 90 + y = 180
128 + y = 180
y = 180 - 128
y = 52
9) Construct XY // AB
XY // AB & AC is transversal
∠1 = ∠4 ---------(I) {alternate interior angles are equal}
XY // AB & BC is transversal
∠3 = ∠5 ---------(II) {alternate interior angles are equal}
∠1 + ∠2 + ∠3 = 180 {straight line angles}
∠4 + ∠2 + ∠5 = 180 {From (I) & (II) }
Sum of three angles of triangle is 180.Hence proved.
What are the domain and range of the function represented by the set of ordered pairs?{(–17, 18), (–10, –15), (0, 0), (3, –1)}
Answer:
See below.
Step-by-step explanation:
Here's an easy way to remember: Domain and Range are in alphabetical order, x and y are in alphabetical order.
The domain is the set of all x coordinates (the first number in each pair).
The range is the set of all y coordinates (the second number in each pair).
Domain: {-17, -10, 0, 3}
Range: {18, -15, 0, -1}
If a right circular cone is intersected by a plane only at its vertex, as in the
picture below, what shape is produced?
o
A. A line
B. A circle
Ο ΟΟ
C. An ellipse
D. A point
O
E. A parabola
F A hyperbola
Answer:
D. A point
Step-by-step explanation:
what is angle G and H? please
Answer:
below
Step-by-step explanation:
that is the procedure above
when servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula
time = 1 hour + 45 minutes per radiator
he charges his costumer a call-out fee of £30, plus £20 per hour
how much should a costumer be charged for servicing a heating boiler and four radiators
Answer:
£110
Step-by-step explanation:
We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.
Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:
[tex](45*4)/60[/tex]
We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:
[tex]180/60=3[/tex]
Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:
[tex]3*20=60[/tex]
Now we add our totals for a grand total of...
[tex]50+60=110[/tex]
(1 x 10 ^ -3) ÷ (5 x 10 ^ 2) in standard form Plz ANSWER QUICK
Answer:
2 × 10⁻⁶
Step-by-step explanation:
( 1 × 10⁻³ ) ÷ ( 5 × 10² )
→ Rewrite into normal form
0.001 ÷ 500
→ Simplify
2 × 10⁻⁶
Answer:
[tex]\frac{1}{500,000}=2*10^{-6}[/tex]
Step-by-step explanation:
[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]
We have:
[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]
In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]
Which system of linear inequalities is graphed?
Answer:
It is the first set of linear inequalities that is correct.
Step-by-step explanation:
Mrs. Dominguez asked her students to plot the number of books they read over the summer
Answer: Count the dots located on the blot labeled at 2.
There are 6 dots, which mean 6 students read 2 books.
The answer is 6.
Step-by-step explanation:
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
[tex]1= x^2 - 6x[/tex]
Required
The perfect number
The coefficient c of x in the above equation is:
[tex]c = -6[/tex]
Divide by 2
[tex]c/2 = -3[/tex]
Square both sides
[tex](c/2)^2 = 9[/tex]
Hence, the constant to add is:
[tex]k = 9[/tex]
Use the work shown below to find the simplified product
Given:
The expression is:
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
To find:
The simple product.
Solution:
We have,
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
It can be written as:
[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]
Cancel out the common factors.
[tex]=\dfrac{5\times x}{x+3}[/tex]
[tex]=\dfrac{5x}{x+3}[/tex]
Therefore, the correct option is C.
Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
(show your work)
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50
represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.
(Choose 2)
Answer:
Options (1) and (4)
Step-by-step explanation:
Given equation for the deposit in the saving account is,
y = 20x + 50
Here, y = Amount of money in the account
20 = money added in the account every month
50 = Initial deposit
By comparing this equation with the slope-intercept form of the equation of a line,
y = mx + b
Here, slope m = money added in the account every month
And b = y-intercept
Therefore, Options (1) and (4) will be the answer.
2x8-3^2+2? I know the answer but I don’t know how I got to it
Answer:
9 or 27
Step-by-step explanation:
2x8 -3 ^2 + 2
2x8 -9 + 2
16 - 9 + 2
= 9
or
2 x 8 - 3^2 + 2
2 x 8 + 9 + 2
16 + 9 + 2
= 27
Answer:
9 is the answer of your question
Step-by-step explanation:
2×8 -3²+216-9+218-99Hope it is helpful to you
If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
Step-by-step explanation:
So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.
Year 1 total: $2136.33
Year 2 total:$2173.29
Year 3 total:$2210.89
Year 4 total:$2249.14
Year 5 total:$2288.05
Total Paid After 5 years:$11057.70
Year 1 total interest:$36.33
Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91
Total Interest paid after 5 years:$188.05
kindly would like help please :,)
Answer:
B. 57
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.
y + y = 114
2y = 114
y = 57
Solve the following word problems:
Answer:
His loss is 90
He sold it 1710
Step-by-step explanation:
1) 1800x5/100= 90
2) 1800-90=1710
Answer:
Step-by-step explanation:
CP = ₹1800
Loss = 5%
[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]
= ₹ 1710
Loss = CP - SP
= 1800 - 1710
= ₹ 90
Need help!
8 ÷ 2 (2 + 2) =
Answer:
= 16
Step-by-step explanation:
= 8 \div 2 . 4
= 16
Answer:
[tex]8\div \:2\left(2+2\right)[/tex]
[tex]=8\div \:2\cdot \:4[/tex]
[tex]=16[/tex]
OAmalOHopeO
I just need the answer to this, you don't need to show your work :)
Answer: [tex]g(x) = -\frac{4}{x+5}+4[/tex]
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]
Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand
Answer:
1) 44
a) 7 + 37
b) 3 + 41
c) 13 + 31
2) 36
a) 5 + 31
b) 7 + 29
c) 17 + 19
3) 24
a) 5 + 19
b) 7 + 17
c) 11 + 13
4) 18
a) 5 + 13
b) 7 + 11
Expressing the numbers as sum of two odd primes we have,
44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7What is Prime Number?Prime numbers are numbers which are only divisible by 1 and itself.
Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...
What is Odd number?Odd numbers are numbers which are not divisible by 2.
Odd numbers are give by: 1,3,5,7,9,11,.....
2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.
So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....
Expressing the give numbers as the sum of odd prime numbers we get,
A) 44
41+3 = 44
37+7 = 44
31+13 = 44
B) 36
31+5 = 36
29+7 = 36
23+13 = 36
19+17 = 36
C) 24
19+5 = 24
17+7 = 24
13+11 = 24
D) 18
13+5 = 18
11+7 = 18
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