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:

20%

Step-by-step explanation:

Original cost = $46.25

Decreased cost = $37.00

Decrease in cost = 46.25 - 37.00 = $9.25

Percentage decrease

[tex] = \frac{9.25}{46.25} \times 100 \\ \\ = \frac{92500}{4625} \\ \\ = 20\% [/tex]

Answer:

63 degrees

Step-by-step explanation:

All angles add up to 180

(5x+6) + (4x-6) + (5x-2) = 180

put like terms together

5x+4x+5x + 6-6-2 = 180

14x -2 = 180

add 2 to both sides

14x = 182

divide both sides by 14

x=13

angle G is 5x-2, so if x=13, angle G is 5(13) -2

= 65  -2 = 63 degrees

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and crown if right

Answer:

8

Step-by-step explanation:

y = 8x + 15

When x=0, y = 15

When y=0, x = -1.875

Answer:

x⁴-196x³+9204x²+32200x+40000

Step-by-step explanation:

(x+2)(x+2)×(x-100)(x-100)=

(x²+4x+4)×(x²-200x+10000)=

(x⁴-200x³+10000x²+4x³-800x²+40000x+4x²-800x+40000)

=x⁴-196x³+9204x²+32200x+40000

x⁴-196x³+9204x²+32200x+40000

Answer:

Step-by-step explanation:

[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA[/tex]

we take the LHS so here goes,

[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA\\(\frac{1}{cosA} -\frac{1}{sinA})(1+\frac{sinA}{cosA}+\frac{cosA}{sinA})\\\\(\frac{sinA-cosA}{sinAcosA})(\frac{sinAcosA+sin^2A+cos^2A}{sinAcosA})\\[/tex]

since , [tex]sin^2A+cos^2A=1[/tex]

the identity becomes,

[tex](\frac{sinA-cosA}{sinAcosA})(\frac{1+sinAcosA}{sinAcosA})\\\\(\frac{sinA+sin^2AcosA-cosA-cos^2AsinA}{sin^2Acos^2A})\\\\[/tex]

now, we know,

[tex]sin^2A=1-cos^2A[/tex] and [tex]cos^2A=1-sin^2A[/tex]

the identity becomes,

[tex](\frac{sinA+(1-cos^2A)cosA-cosA-(1-sin^2A)sinA}{sin^2Acos^2A} )\\\\[/tex]

[tex](\frac{sinA+cosA-cos^3A-cosA-sinA+sin^3A}{sin^2Acos^2A})[/tex]

sin A and cos A cancel out it becomes zero

[tex]\frac{sin^3A-cos^3A}{sin^2Acos^2A} \\\\[/tex]

Splitting the denominator the identity becomes

[tex]\frac{sin^3A}{sin^2Acos^2A}-\frac{cos^3A}{sin^2Acos^2A} \\\\\frac{sinA}{cos^2A} - \frac{cosA}{sin^2A} \\\\\frac{sinA}{cosA}(\frac{1}{cosA})-\frac{cosA}{sinA}(\frac{1}{sinA})\\\\[/tex]

Hence,

[tex]tanAsecA-cotAcosecA[/tex]

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

∴ The image of the point is (1, 2)

Answer:

(1,2)

Step-by-step explanation:

Answer:

48.69

Step-by-step explanation:

Step-by-step explanation:

30% off $53.50

= 70% of $53.50

= $53.50 * (70/100) = $37.45.

Answer:

X = 2

Step-by-step explanation:

2 x 2 x 2 = 8

Hope this helps. Pls give brainliest.

Answer:

2 :)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Answer:

If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Hope this helps.

Step-by-step explanation:

Answer:

equation is then y= -5x + 9

Step-by-step explanation:

First the equation of a line is y=mx+b

if parallel the slope is the same

so m= -5

y= -5x +b

plug in point (1,4) into equation to find by

4= -5(1) + b

b=9

equation is then y= -5x + 9

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Answer:

The sweater costs 10 dollars.

Step-by-step explanation:

We can use proportion to solve this:

[tex] \frac{125 \: dollars}{4250 \: pesos} = \frac{x}{340 \: pesos} \\ \\ \frac{4250x}{4250} = \frac{42500}{4250} \\ \\ x = 10 \\ x = 10 \: dollars[/tex]

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

Upon drafting an equation based on the information provided and solving it, it is concluded that Steph earns £36 by selling the plain scones.

An equation is a combination of numbers, variables, functions, or often symbols according to a peculiar rule. It consists of expressions and equality sign(=).

Let's assume that Steph earns x from selling cheese scones then she earns 4x from selling fruit scones and 3x from selling plain scones.

The total amount she earns by selling all the scones is 96.

So,

x + 4x + 3x = 96

8x = 96

x = [tex]\frac{96}{8}[/tex]

x = 12

The amount she earns by selling plain scones = 3 × 12 = 36.

So, she makes £36 by selling the plain scones.

Learn more about Equation here:

https://brainly.com/question/28953876

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Answer:

Cube root of 864 can be represented as 3√864.

Answer:

9.52441

Step-by-step explanation:

[tex] \sqrt[3]{864} [/tex]

[tex] = \sqrt[3]{(9.524 \times 9.524 \times 9.524)} [/tex]

[tex] = 9.52441[/tex]

Answer: b=30

Step-by-step explanation: add 9 to both sides

b−9+9=21+9

b=30

add 9 from 9 this will cancel out the nine then add 9 to 21 and what ever u get is ur answer b=30

Step-by-step explanation:

b-9=21

  +9

Answer:

Option A

Step-by-step explanation:

It's a point on the function's graph

Answer:

c

Step-by-step explanation:

Since the perimeters are equal, then equate the perimeter expressions, that is

4(x - 2) = 6([tex]\frac{1}{2}[/tex] x + 5) ← distribute parenthesis on both sides

4x - 8 = 3x + 30 ( subtract 3x from both sides )

x - 8 = 30 ( add 8 to both sides )

x = 38

Substitute x = 38 into either of the 2 perimeter expressions

perimeter = 4(x - 2) = 4(38 - 2) = 4 × 36 = 144 in → c

Answer:

7.83 km/h

Step-by-step explanation:

Let v = average speed for first part, v' = average speed for second part.

Given that v' = v - 15, the distance covered by the first part d = 350 km. The distance covered in the second part d' = 470 km - 350 km = 120 km.

Since both parts are covered in the same time,

d = vt and d' = v't = (v - 15)t

So, 350 = vt  (1) and 120 = vt - 15t (2)

substituting vt = 350 into (2), we have

120 = 350 - 15t

collecting like terms, we have

15t = 350 - 120

simplifying, we have

15t = 230

dividing through by 15, we have

t = 230/15

t =  15.33 h

Since d' = v't, then

v' = d'/t

= 120 km/15.33 h

= 7.83 km/h

So, the average speed for the second part of the journey is 7.83 km/h

Answer:

0.8%

Step-by-step explanation:

8/1000 x 100%

8/10 = 0.8% or 4/5%

Answer:

0.8%

Step-by-step explanation:

it is the answer answer

Answer:

297.3

Step-by-step explanation:

30% of 429 is 128.7

429 which is the original price - 128.7 which is the price off = 297.3

Answer:

$300.30

Step-by-step explanation:

100% - 30% = 70%

429 * 0.70 = 300.30

Therefore the sale price of the ipad is $300.30!

Please mark brainliest and have a nice day!

Answer:

15 cans or D

Step-by-step explanation:

so it’s a pattern every 5 days add 3 cans

so Now do a table

5 = 3

10 = 6

15 = 9

20 = 12

25 = 15

Answer:

15  cans

D

Step-by-step explanation:

Set up a proportion.

3 cans / 5 days = x cans / 25 days  

Note: both sides contain the same units on top and the same units on the bottom of each fraction.

3/5 = x / 25                                      Cross multiply

5x = 3*25

5x = 75

x = 75 / 5

x = 15

Step-by-step explanation:

the question is not clear

Answer:

[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]

Step-by-step explanation:

The rate of the inflation of the balloon with time can be denoted as:

[tex]\dfrac{dv}{dt} = 500 \ cm^3/m[/tex]

To determine; how fast does the radius change with time.

i.e.

[tex]\dfrac{dr}{dt}=???[/tex]

where r = 40 cm and the volume of sphere = [tex]\dfrac{4}{3} \pi r^2[/tex]

∴

[tex]\dfrac{dv}{dt}= \dfrac{4}{3} \pi 2(r^3) \dfrac{dr}{dt}[/tex]

[tex]500= \dfrac{4}{3} \pi \times 2(40^2) \dfrac{dr}{dt}[/tex]

[tex]500= 13404.13 \dfrac{dr}{dt}[/tex]

[tex]\dfrac{500}{13404.13} = \dfrac{dr}{dt}[/tex]

[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]

Answer:

3

Step-by-step explanation:

For one batch there is 2 cups so for one person it's one serving so you will need 3 batches for 6 people.

Answer: $2400

Step-by-step explanation:

Based on the question above, a will be the percentage of tickets that were sold while b will be tickwt sales. Therefore,

a = 75%

b = 75% × $3,200

= 0.75 × $3200.

= $2400

Based on the information above, the amount of tickets sales is $2400

Step-by-step explanation:

X = sin130° + cos130°

= sin50° - cos50°

= sin50° - sin40°.

sin50° is definitely greater than sin40°, therefore X > 0. (3)

Answer:

51.2 is 40% of 128

Step-by-step explanation:

Answer:

76.8

Step-by-step explanation:

128 x .40 = 51.2

128 - 51.2 =76.8