Mr. and Mrs. Preston and their two children are very excited about their upcoming
vacation. The Preston family is leaving early in the morning to drive to Florida. It will take
two days to drive to Florida. The family will have to stay one night in a hotel. Mr. and
Mrs. Preston want to spend as little money as possible for the hotel room. Mr. Preston
uses the information below and rounding to estimate which hotel offers the best deal.
Which hotel offers the best deal for the Preston family to stay? Show all your
Answer:
They will spend less at the sunny side hotel
Step-by-step explanation:
The attachment completes the question.
From the question, we understand that there are 4 individuals involved.
Mr. Preston (1)Mrs. Preston (1)The children (2)And they will spend one night
First, we need to calculate the expenses in Traveler's hotel.
[tex]Rate = \$107.10[/tex] (for 3 people)
[tex]Additional\ Person = \$21.55[/tex] (for 1 person)
[tex]Breakfast = \$8.75 * 4[/tex] (for 4 people)
[tex]Tax = \$16.85[/tex]
Total Expenses
[tex]Total = \$107.10 + \$21.55 + \$8.75* 4 + \$16.85[/tex]
[tex]Total = \$107.10 + \$21.55 + \$35.00 + \$16.85[/tex]
[tex]Total = \$108.50[/tex]
For Sunny Side hotel:
[tex]Rate = \$152.95[/tex] (for 4 people)
[tex]Tax = \$21.34[/tex]
Total Expenses:
[tex]Total = \$152.95 + \$21.34[/tex]
[tex]Total = \$174.29[/tex]
By comparison, they will spend less at the sunny side hotel.
Pens cost 43p and booklets cost £1.85 How much change will I get from £10 if I buy 3 pens and 4 booklets
Answer:
Step-by-step explanation:
lets see how much will cost 3 pens
3*.43=1.29
booklets
1.85*4=7.4
total
7.40+1.29=8.69
10-8.69=1.31
3/4 x 2 2/3 please answer quick am running out of timr
Answer:
2 I think
Step-by-step explanation:
What is the image of the point (6,7) after a rotation of 90 degrees counterclockwise about the origin
Answer: Note the location of Point C’, the image of Point C after a 90-degree rotation. And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotatio.
Hope it helps
The new coordinates after rotation will be (-7, 6).
What is mean by Rotation of a Point in X - Y plane?A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.
We have to given that;
A Point on a xy - plane as (6, 7) which is rotated by 90° counter clockwise about the origin.
Now, According to the question, we have;
A point with coordinates = (6, 7)
We know that, Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).
Hence, By Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be;
⇒ (-7, 6).
Hence, The new coordinates = (-7, 6).
Learn more about the Rotation of points visit;
brainly.com/question/18099572
#SPJ2
20 kilograms to pounds
Answer:
44.0925 pounds
Step-by-step explanation:
The value of y is directly proportional to the value of x. If y = 15 when x = 90, what is the value x when y = 45?
Answer:
y = 45 x = 120
Step-by-step explanation:
90 - 15 = 75
45 + 75 = 120
Which of the following graph's represent the inequality y<2x+7 ?
Answer:
graph a
Step-by-step explanation:
2*0 = 0
0+7 = 7
0<7; it is a solution
b= 3x + 4g for a = -9 and b = 12
Answer:
B3x+2=32 and 5 with a but b=32c
Step-by-step explanation:
David uses ¼ cup of apple juice for every ½ cup of carrot juice to make a fruit drink.
How many cups of apple juice does David use for 2 cup of
carrot juice?
Answer:
1
Step-by-step explanation:
1/4 every 1/2
so 1/2 every 1 cup
so 1 every 2 cups
Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 \text{ km}3 km3, start text, space, k, m, end text, his elevation is 120 \text{ m}120 m120, start text, space, m, end text.
Answer:
The answer is "3 km ".
Step-by-step explanation:
Distance in (km): [tex]3 \to 1[/tex]
Elevation value in (m): [tex]120 \to 40[/tex]
[tex]\to \frac{3}{1} = 3 \ km \\\\\to \frac{120}{40} =\frac{12}{4} = 3 \ km[/tex]
Answer:
A..
Step-by-step explanation:
khan acadmey says so
Which math expression means "the sum of 270 and 180"?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Sum means to add so answer A is correct
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelpvv
Answer:
4.4
Step-by-step explanation:
4.4
Answer:
I think the answer is B) 4.7
Step-by-step explanation:
just to let you know I maybe wrong.
Prove This :
sin(A+B)+sin(A−B)=2sinA⋅cosB
Answer:
We know
sin (A + B) = sin A cos B + cos A sin B
sin (A - B) = sin A cos B - cos A sin B
(A + B) + sin (A - B)
= sin A cos B + cos A sin B + sin A cos B - cos A sin B
= sin A cos B + sin A cos B
= 2 sin A cos B
Find the value of x and the measure of each angle in the parallelogram
Answer:
[tex]\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18[/tex]
Step-by-step explanation:
By properties of parallelograms we know that opposite are the same so we have
[tex]12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}[/tex]
so for the angles we have
[tex]\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162[/tex]
If a box 100 tea bags cost $4.52 how much does one tea bag cost? (please show work)
Answer:
$0.0452
Step-by-step explanation:
100 tea bags coat $4.52
1 " " " 4.52/100
$ 0.0452
Consider p(x)=3x^3+ax+5a, a is an element of the integers.
The polynomial p(x) leaves a remainder of -7 when divided by (x-a). Show that only one value of a satisfies the above condition and state it’s value.
By the remainder theorem,
p(a) = 3a³ + a² + 5a = -7
so that
3a³ + a² + 5a + 7 = 0
Since you know a is an integer, you can try to factorize this, or use the rational root theorem to generate a list of potential rational roots, and from there you'd select the integer roots. The rational ones are of the form m/n, where m divides the constant term 7 and n divides the leading coefficient 3. They are
a = ± 1 or ± 1/3 or ± 7 or ±7/3
so there are 4 integer candidates,
a = -1 or 1 or -7 or 7
Check the value of f(a) = 3a³ + a² + 5a + 7 at each of these:
a = -1 → f(a) = 0
a = 1 → f(a) = 16
a = -7 → f(a) = -1008
a = 7 → f(a) = 1120
and only a = -1 is a root of 3a³ + a² + 5a + 7, so that's your answer. In fact,
3a³ + a² + 5a + 7 = (a + 1) (3a² - 2a + 7)
Which fraction and decimal forms match the long division problem 15 divided by 4.000
Answer: I would think the answer is C
Step-by-step explanation: 4 divided by 15 is 0.26666667
If Tony earns five dollars on Monday and five dollars on Tuesday is that a sum of zero? need help I’m in 4th
Answer:
The sum is $10
Step-by-step explanation:
Since Tony got $5 on Monday and $5 on Tuesday, we can add them together by doing 5+5. We can add 5 and 5 together to get a total of $10 that Tony has earned. This means that it isn't a sum of 0 but a sum of 10.
(hope this helped)
3x-2y= 12
Linear Functions, please help, it’s on a test, and I’m about to fail this whole grade, thank you
Answer:
Slope: 3/2
y intercept (0,-6)
Step-by-step explanation:
3x-2y=12
First, solve for y
2y=12-3x
divide each term by -2 and simplify
y=-6+[tex]\frac{3x}{2}[/tex] or y=[tex]\frac{3}{2}[/tex]x-6
Slope intercept form: y=mx+b
therefor m =[tex]\frac{3}{2}[/tex] and y (0,-6)
Help me please !!!!!!
Answer:
z = -44
Step-by-step explanation:
3/4 (x - 8) = 4
3(x - 8) = 16
3x - 24 = 16
3x = 40
x = 40/3
4 - 2x = -5x - z
4 = -3x - z
z = -3x - 4
z = -3(40/3) - 4
z = -40 - 4
z = -44
Answer:
Z=-44
Step-by-step explanation:
To figure out z. we have to figure out x first
So
3/4(x-8)=4
x-8=4÷3/4
x-8=4×4/3
x-8=16/3
3x-24=16
3x=16+24
3x=40
x=40/3
Now
4-2(40/3)=-5(40/3)-z
4-80/3=-200/3-z
z-68/3=-200/3
z=-200/3+68/3
z=-44
31. Each small square on the grid below is 3cm by 3cm. What is the area of
the shape drawn on the grid?
Given: \overline{BD} \cong \overline{BE}, BD ≅ BE , \overline{DE} DE bisects \overline{AB} AB and \overline{DE} DE bisects \overline{BC}. BC . Prove: \overline{AB} \cong \overline{BC} AB ≅ BC .
Given:
[tex]\overline{BD} \cong \overline{BE}[/tex]
DE bisects [tex]\overline{AB}[/tex].
DE bisects [tex]\overline{BC}[/tex].
To prove:
[tex]\overline{AB} \cong \overline{BC}[/tex]
Proof:
DE bisects [tex]\overline{AB}[/tex]
Then, [tex]AD=BD[/tex]. ...(i)
DE bisects [tex]\overline{BC}[/tex].
Then, [tex]BE=CE[/tex]. ...(ii)
We have,
[tex]\overline{BD} \cong \overline{BE}[/tex] ...(iii)
Using (i), (ii) and (iii), we get
[tex]\overline{AD} \cong \overline{CE}[/tex] ...(iv)
Adding (iii) and (iv), we get
[tex]\overline{BD}+\overline{AD} \cong \overline{BE}+\overline{CE}[/tex]
[tex]\overline{AB} \cong \overline{BC}[/tex]
Hence proved.
Choose the method of pay that would result in the most earnings for one month on sales of $40,000. a. Straight commission of 7.5% on all sales. b. Monthly salary of $1,600 plus 2.5% commission on all sales. c. Graduated commission of 5% on the first $30,000 in sales and 6% on anything over that. d. Graduated commission of 4% on the first $25,000 in sales and 8% on anything over that. Please select the best answer from the choices provided A B C D
Answer:
The answer is "Option a".
Step-by-step explanation:
In the question, the answer is 7.5% straight on all revenue because the commission would be a charge the corporation pays to something like a sales representative to help or achieve a sale in return for their services.
Answer:
a.
Step-by-step explanation:
9. Jeremy receives a base salary of $25,000 plus 5% commission on his sales. Jeremy received a total salary of
$45,000 last year. How much were his total sales?
a. $20,000
b. $70,000
c. $400,000
d $900,000
Answer:
c. $400,000
Step-by-step explanation:
Let his total sales be $x.
Salary + commission =$45000
[tex] \therefore \: 25000 + 5 \% \: of \: x = 45000 \\ \\ \frac{5}{100} x = 45000 - 25000 \\ \\ \frac{1}{20}x = 20000 \\ \\ x = 20 \times 20000 \\ \\ x = \$\:400, 000[/tex]
find the value of x and y
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
Please help and answer.
Answer:
hi
Step-by-step explanation:
u need help
determine the value of x.
Answer: 1) -5.8
Step-by-step explanation:
in order to solve the problem you have to put it together:
9x-5 = 14x+24
then go from there : subtract 24 on both sides , then subtract 9x on both sides , that’ll leave you with : -29 = 5x
so from there we divide , giving us x= -5.8
How does the sketch of a graph of function help describe its behavior
Answer:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
8. What is the annual salary for someone who earns a biweekly salary
of $863.00?
Answer:
approximately $22438
Explanation:
If this is wrong which im pretty sure it isnt, im sorry :)
Answer: Annual Salary = $22,438
===================================================
Work Shown:
biweekly means every 2 weeks
There are roughly 52 weeks in a year, so there are 52/2 = 26 biweekly paychecks over the course of the full year.
So the annual salary is 26*863.00 = 22,438 dollars.
what's the slope for this, I really need help, like a lot,
Answer:
It would be 3/3
Step-by-step explanation:
it is over 3 and up 3 if you are trying to get 3\4 go up 1