Given :
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.
For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.
To Find :
The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.
Solution :
Let, minimum number of days are x.
So, cost charged by Skies travel is, [tex]c_1 = 25+28x[/tex]
Cost charged by r&r travels is, [tex]c_2 = 305 + 23x[/tex]
r&r should be better deal when :
[tex]c_2 < c_1\\\\305 + 23x <25 + 28x\\\\5x >280\\\\x>56[/tex]
So, for better deal at r&r minimum number of vacation days is 57.
Hence, this is the required solution.
Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years
Answer:
63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
21x3=63
If y by itself what does that means?
[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]
I NEED HELP NOW PLEASE
Which decimal represents the portion that is NOT shaded?
0.003
0.03
0.3
3.0
Write how u solved it
Answer:
0.3
Step-by-step explanation:
Answer:
3.0
Step-by-step explanation:
Here we have a rectangle split into ten parts with 7/10 shaded in blue. The question asks what decimal represents the portion, alright, let's go down the list.
0.003 is also known as 3 thousandths, meaning that we would need a thousand little squares as our figure. Clearly this isn't the case, so 0.003 is wrong.
0.03 is also known as 3 hundredths, meaning that we would need a hundred little squares as our figure, this also isn't the case, so 0.03 is wrong.
0.3 is known as 3 tenths, yes this could represent our figure, but it doesn't represent the finished portion, which would be 1.0, this means that only one part will be shaded in the figure we have now, leaving it to be wrong.
This leaves us with 3.0
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
1 Find the area of the Circle below: Чcm
Answer:
A≈50.27
Or 16π
Step-by-step explanation:
Answer:
50.24cm
Step-by-step explanation:
Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8
A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_
Answer:
A. -4< n<8 B.-4< n< 8
Step-by-step explanation:
Answer:
D.-4<n<8
Step-by-step explanation:
can some one help me on this and thank u
Answer:
2<x<3
Step-by-step explanation:
the first one
Write the following in standard form.
Answer:
[tex]\huge\boxed{3x+y=23}[/tex]
Step-by-step explanation:
First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.
Since we know the slope, but not the y-intercept, we can start to fill in what we already know.
[tex]3x+y=c[/tex]
Therefore to finish this equation, we must find the y-intercept.
Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.
2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.
[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.
[tex]3x+y=23[/tex]
Hope this helped!
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?
Answer:
2.275%
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)SD
here, x = 70.5
mean = 65.5
SD = 2.5
Substituting these values;
z = (70.5-65.5)/2.5
= 5/2.5 = 2
So we want to calculate the probability that;
P( z> 2)
We check the standard normal distribution table for this
That will be
0.02275
In percentage, this is 2.275 %
3. The triangles are similar. Find the value of x.
Answer:
yeah
Step-by-step explanation:
Answer: Is it 3?
Step-by-step explanation:
What is the measure of angle 1
Answer: 100
Step-by-step explanation:
It is an alternate interior angle.
Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method
Answer:
Anna has $1460
Betty has $1060
Step-by-step explanation:
let Anna's money be x
and Betty's money be y
If Anna gave Betty $200, then they would have the same amount of money
Anna's money will reduce by 200
x=x-200
Betty's money will increase by 200
y= y+200
if they have the same amount of money, the difference will be zero
x-200=y+200
x-200-y-200=0
x-y-400=0
x-y=400--------------1
this means that Anna has $400 more than Betty
if Betty gave Anna $220, Anna would then have twice as much as Betty.
Betty's money will reduce by 220
y=y-220
Anna's money will increase by 220
x=x+220
Anna's money will double that of Betty's
x+220=2(y-220)
x+220= 2y-440
x=2y-440-220
x=2y-660--------------------2
put x= 2y-660 in eqn 1
(2y-660)-y=400-------------------------1
2y-y=400+660
y= 1060
so Betty has $1060
put y= 1060 in eqn 1
x-y=400
x-1060=400
x=400+1060
x=1460
so Anna has $1460
Identify the correct definition of the term. Angle
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
if you are sitting in a room with ten people and 39% of them leave how many people would be left?
Answer:
69
Step-by-step explanation:
yes
Answer:
Step-by-step explanation
4-6 people left in the room
✨✨Hope it helps✨✨
Brainliest?.
Plz help me answer this
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
13x - 6y = 22
x = y + 6
Step 2: Solve for y
Substitution
Substitute in x: 13(y + 6) - 6y = 22Distribute 13: 13y + 78 - 6y = 22Combine like terms: 7y + 78 = 22Isolate y term: 7y = -56Isolate y: y = -8Step 3: Solve for x
Define original equation: x = y + 6Substitute in y: x = -8 + 6Add: x = -2Can someone please help me with solving this maths question?
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
88 x 88/22 x 11 x 11
Answer:
42592
Step-by-step explanation:
Answer:42592
Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)
Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
To learn more about the quadratic function;
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The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
A(x) = 2 (3x - 2)(x - 5)
Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
I’ll name brainliest✨
Answer: -5 1/2 or -5.5
Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2
Answer:
Point B is located at -5.5
Step-by-step explanation:
Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5
I hope this helped to answer your question.
Apparently, I'm putting in a phrase that hurts Brainly's feelings. So I'm gonna put in a picture instead : )
Answer:
11
Step-by-step explanation:
Because you put the four into the equation like this: f(x)= 2(4)+3
And 2 times 4 equals 8
And 8 plus 3 equals 11
Have a great day!
Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?
Answer:
12 staples
Step-by-step explanation:
So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.
Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.
So it would take 12 staples to bind the booklet
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
I'm very confused, I don't know where to even start! Please help me!!
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
Find all solutions of
- 2r +4-8=0
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide
is this proportional relationship? please help!!
Answer:
yes, the slope is the same throughout the table
Step-by-step explanation:
Answer:
Yes, the graph shown is a proportional relationship.
Step-by-step explanation:
If you divide the distance (6) by the time (1) you get the same thing (6). Repeat for all the terms in the graphs. Since 6/1 is 6, 12/2 is 6, 18/3 is 6 and 24/4 is 6, The relationship is proportional.
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
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