Gas costs $2.09 and you figure you will use 30 gallons on your trip with your two friends. You will stay 4 nights at a hotel (one room) for $98 a night, and spend $25 each per day on food for 5 days. What is the total cost of your trip?

Answer: No

Step-by-step explanation:

23,453 is not a perfect square, this is because no rational number times itself equals 23,453, which can be proven if you go into a calculator and find the square root of 23,453, which is about 153.1437 (but it continues going, making it an irrational number.)

Hope this helps!

Answer:

area of a triangle is 1/2bh

1/2 X 15 x 9 = 67.5 square feet

Step-by-step explanation:

For this case we must find the area of a flower bed with a triangle shape.

The area of a triangle is given by:

[tex]A = \frac {b * h} {2}[/tex]

Where:

b: It's the base

h: It's the height

Substituting the given values:

[tex]A = \frac {15 * 9} {2}\\A = 67.5\ ft ^ 2[/tex]

Answer:

[tex]A = 67.5\ ft ^ 2[/tex]

[tex]x\Delta y=x-5y\\\\3\Delta(-4)\qquad\text{put the values x = 3 and y = -4 to the expression x - 5y}:\\\\3\Delta(-4)=3-5(-4)=3+20=23[/tex]

Answer: 1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

Since the strawberries cost $1.60 per pound, it would be x pounds times $1.60 for the total cost of strawberries. Since the raspberries cost $1.75 per pound, it would be y pounds times $1.75 for the total cost of the raspberries. The total cost of both, or 1.60x + 1.75y, must be equal to or less than 10 because she cannot spend over 10 dollars.

The situation can be represented by the equation 1.60x + 1.75y = 10, where x represents the pounds of strawberries and y represents the pounds of raspberries. To find out how many pounds of strawberries and raspberries Joy can buy, we can rearrange the equation and solve for x and y.

The situation can be represented by the equation 1.60x + 1.75y = 10, where x represents the pounds of strawberries and y represents the pounds of raspberries. To find out how many pounds of strawberries Joy can buy, we can rearrange the equation to solve for x: x = (10 - 1.75y) / 1.60. Similarly, to find out how many pounds of raspberries Joy can buy, we can rearrange the equation to solve for y: y = (10 - 1.60x) / 1.75.

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Final answer:

To find out how far Sarah can drive on a full tank of gas, the correct proportion is '77/3.6 = x/15'. This compares the known miles driven to gallons used, scaled up to a full tank of 15 gallons, representing the distance with 'x'. So the correct option is d.

Explanation:

The student is working on solving a proportion problem related to fuel consumption and driving distances. To find out how far Sarah can drive her car on a full tank of gas, we need to set up a proportion that compares miles driven to gallons used, and then scale it up to a full tank of gas.

Since Sarah drove 77 miles on 3.6 gallons of gas, we can compare this to a full tank of 15 gallons to find the total distance she can drive, represented by 'x'. The correct proportion is 77 miles to 3.6 gallons as 'x miles' is to 15 gallons.

The correct proportion is d. 77/3.6 = x/15, as it reflects the direct relationship between miles driven and gallons of fuel. When the gallons are increased from 3.6 to 15, we expect the miles that can be driven to increase proportionally.

2) 5x>x+4

5x-x>x-x+4

4x>4

4x/4>4/4

x>1

3) 3x+4<10

3x+4-4<10-4

3x< 6

3x/3<6/3

x<2

4) -10x+5-4>7x-10

-10x+1>7x-10

-7x     -7x

-17x+1>-10

-1          -1

-17x>-11

/-17    /-17

+1(-x< 0.6470588)

x>0.6470588 (I'm kinda iffy about this one, so tell me if its right or not)

5)6x+3< 7x-10

6x+3-6x<7x-10-6x

3<x-10

3+10<x-10+10

13<x

6) 2x-4<8x+2

2x-4-2x<8x+2-2x

-4<6x+2

-4-2<6x+2-2

-6<6x

-6/-6<6x/-6

1>x (remember when you divide by a negative number you have to flip the sign)

(I'm sure you kinda get the idea of how you do it so I'll just put the answers for the rest of the questions)

7) x<0

8) s>1

9) t<2

10) x<11

11) x>12

12) x<20

13) r<5

14) s>36

15) x<8

Tell me if any of them were incorrect, I hope this helped a little!

Answer:

1.-4x + 2 >0

Is x < 1/2

Step-by-step explanation: This is the number 1 question of this assignment.

Answer:

8.4 * 10^6

Step-by-step explanation:

8.4 * 10^6

1 million = 1 * 10^6

8 million 4 hundred thousand is 8.4 * 10^4 because this number is 8.4 times bigger than a million.

Answer:

C and D

Step-by-step explanation:

The Middles were the same length and the side of the alligator are slightly longer.

The correct options are:

C.  Center-- The crocodiles have a greater median length than the alligators.

D.   Spreads--  The lengths of the alligators are more spread out.

Median of the data--

The median is the central tendency of the data and it always exist in the middle of the data.

By looking at the data.

We observe that the Median of the data :

Crocodile lie at : 17

and that of the alligator lie at : 9

Hence, the median for the crocodile is more than for the alligators.

Spread--

The spread in the data means how far the data points are from the center of the data i.e. mean or median.

By looking at the data crocodile we observe that all the data points are close to the median.

whereas in the data alligator one of the data point is far from the median.

Hence, the spread in case of alligator is more as compared to that of crocodiles.

Answer:

v2 - v02 = 2ad

v = final speed = 0 (came to a full stop)

v0 = initial speed (what you want to solve for)

d = stopping distance = 175 feet

Then

v0 = √(-2ad)  [Remember a is negative, so the argument of the square root is positive.]

But as you can see, we need the acceleration.

If we knew the time it took to come to a full stop, we could still answer the question.  Either way, we need more information than just the stopping distance.

Step-by-step explanation:

The speed of the vehicle before the brake were applied was about 83.7 feet/s

Acceleration is rate of change of velocity.

[tex]\large {\boxed {v^2 = u^2 + 2ad}[/tex]

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

This problem is about accelerated motion.

Given:

final speed of the vehicle = v = 0 feet/s

length of skid marks = d = 175 feet

maximum deceleration = a = 20 feet/s² ( assumption )

Unknown:

initial speed = u = ?

Solution:

[tex]v^2 = u^2 - 2ad[/tex]

[tex]0^2 = u^2 - 2(20)(175)[/tex]

[tex]u^2 = 7000[/tex]

[tex]u = \sqrt{7000}[/tex]

[tex]u = 10\sqrt{70} \texttt{ feet/s}[/tex]

[tex]u \approx 83.7 \texttt{ feet/s} [/tex] (rounded to the nearest tenth)

[tex]\texttt{ }[/tex]

The speed of the vehicle before the brake were applied was about 83.7 feet/s if we assume that maximum deceleration of the vehicle is about 20 feet/s²

[tex]\texttt{ }[/tex]

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle

Answer:

Step-by-step explanation:

2 equal 90° angles, we can use an equation

x + 15 = 90

x = 90 - 75

x = 15°

-------------------------

check

90 = 15 + 75

90 = 90

the answer is good

Answer:65 inches

Step-by-step explanation:

15+14+36=65

Jasper used a total of 65 inches of ribbon.

To calculate the total length of ribbon used by Jasper, we need to convert the 3 feet of red ribbon to inches.

Since 1 foot is equal to 12 inches, 3 feet would be equal to 12 x 3 = 36 inches. Then, we can add up the lengths of all three ribbons: 15 inches of blue ribbon + 14 inches of yellow ribbon + 36 inches of red ribbon = 65 inches of ribbon.

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Answer:

the answer is false.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2x+y=3

⇒ This equation can be written in the form of y = mx + c where m is the slope, c is the y-intercept and x and y are x and y coordinates respectively of the point where the the line passes.

2x+y=3

y = -2x + 3.

If the line passes through the origin (0,0), then c = 0. This is not the case in our eqation.

Again if the question passes through the origin, by substituting the point (0,0) in the question it would satify it.

2x+y=3  ⇒ 2(0) + 0 = 3

                     0 + 0 ≠ 3

                      0 ≠ 3

The statement is false.

Answer: Marcus can make 6 sandwiches.

Step-by-step explanation:

If you have 12 slices of bread and use 2 for each sandwich you would do 12/2, which equals 6.

Answer:

The difference is 145.7

Step-by-step explanation:

89+56.7= 145.7

Answer:

-32.3

Step-by-step explanation:

I got -32.3 because when I subtracted -89 from 56.7 I got -32.3. If you don't know how to subtract integers it's simple, you just subtract 89 from 56.7 then choose the sign that has the greater absolute value. In this case -89 has the greater absolute value, so you take the negative sign.

Answer: 2

You can use a calculator to compute the square root of 4 to get 2.

Or you can think of a geometric square with side lengths of some number that multiply to an area of 4. The only possible square is a 2 by 2 square since 2*2 = 4. This is where the term "square root" comes from for the most part.

Answer:

The cost of the one word is $30 .

Option (b) i.e [tex] \frac{8.4- 6}{0.08}[/tex] is used to determine the total number of words in the ad mr.grant placed.

Step-by-step explanation:

Let us assume that the number of words in the ad be x.

As given

Mr.grant spent $8.40 to place an ad in the newspaper.

This price included one time fee of $6.00 plus $0.08 per word.

Than the equation becomes

8.40 = 6 .00 + 0.08x

Simplify the above

8.4 = 6 + 0.08x

8.4 - 6 = 0.08x

[tex]x = \frac{8.4- 6}{0.08}[/tex]

[tex]x = \frac{2.4}{0.08}[/tex]

[tex]x = \frac{24\times 100}{8\times 10}[/tex]

[tex]x = \frac{2400}{80}[/tex]

x = $30

Therefore the cost of the one word is $30 .

Option (b) i.e [tex] \frac{8.4- 6}{0.08}[/tex] is used to determine the total number of words in the ad mr.grant placed.

[tex]\displaystyle\bf\\\sqrt{-100}=\sqrt{100\times(-1)}=\sqrt{10^2\times(-1)}=10\sqrt{-1}=10i=\boxed{\bf0+10i}[/tex]

Answer:

What points do I check?

Step-by-step explanation:

Answer:

x= -1/4

x= 3

Step-by-step explanation:

Final answer:

The question compares two breathing rates: 15 breaths every 36 seconds and 90 breaths every 3 minutes. When converted to breaths per minute, the rates are 25 breaths/minute and 30 breaths/minute respectively, indicating that they are not equivalent.

Explanation:

The question asks whether 15 breaths every 36 seconds and 90 breaths every 3 minutes represent an equivalent rate of breathing. To solve this, we need to determine if the two rates are the same when converted to a common time unit.

First, let's convert 36 seconds to minutes: 36 seconds is 0.6 minutes (since 1 minute is 60 seconds). Next, we calculate the breathing rate per minute for the first scenario by dividing the number of breaths by the number of minutes: 15 breaths / 0.6 minutes = 25 breaths/minute.

Now let's look at the second rate of 90 breaths every 3 minutes. This can be simplified by dividing the number of breaths by the number of minutes: 90 breaths / 3 minutes = 30 breaths/minute. Clearly, 25 breaths/minute is not equivalent to 30 breaths/minute. Therefore, 15 breaths every 36 seconds and 90 breaths every 3 minutes are not equivalent rates of breathing.

Any irrational number never ends. So, you can take square roots. 4 is the square root of 16, and 6 is the square root of 36. So, take the square root of any number between 16 and 36 except for 25. For example, 17 is between 16 and 36. So, sqrt(17) is therefore irrational. You can't take the square root of 25 because that would result in a rational number, 5.

Answer:

Step-by-step explanation:

you dont have enough information to solve the problem, you need to know the length of the ladder in order to find the closet length of the building.

Answer:

Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.

The diagonals of a rhombus bisect the vertex angles.

Yes, the diagonals of a rhombus bisect the vertex angles.

To understand this, we can consider that in a rhombus, the diagonals are perpendicular to each other, and when a diagonal bisects an angle, it creates two congruent triangles.

Therefore, the diagonals of a rhombus do indeed bisect the vertex angles.

Answer:

Step-by-step explanation:

The installation cost is $300 and the cost per square foot is $4 . So the total price is y= 4x + 300 (where x is square foot).

slope is 4 and y intercept is 300

for 375 sqft. the cost is y= 4(375) +300 = 1800

the cost is $1800

Answer:

A parallelogram is a quadrilateral whose opposite sides are parallel.

It's properties include:

- The opposite sides of a parallelogram are parallel.

- A diagonal of a parallelogram divides it into two congruent triangles.

- The opposite sides of a parallelogram are congruent.

- The opposite angles of a parallelogram are congruent.

- The consecutive angles of a parallelogram are supplementary.

- The diagonals of a parallelogram bisect each other.

a quadrilateral whose both pair of opposite side are equal and parallel to each other is called a parallelogram

[tex]AREA OF PARALLELOGRAM => BASE X HEIGHT = BXH [/tex]

any side of parallelogram can be chosen as the base of parallelogram the perpendicular dropped on that side from opposite vertex is known as height attitude

Answer:

The value is  of given expression is -5+6i.

Step-by-step explanation:

The given expression is

[tex](-3+3i)+(-2+3i)[/tex]

It can be written as

[tex]-3+3i-2+3i[/tex]

Now combine like terms.

[tex](-3-2)+(3i+3i)[/tex]

[tex](-3-2)+(3+3)i[/tex]

Simplify each parenthesis.

[tex](-5)+(6i)[/tex]

[tex]-5+6i[/tex]

Therefore the value is  of given expression is -5+6i.

Answer:

355 senior citizen tickets were sold.

Step-by-step explanation:

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

[tex]a +s=465[/tex] --- (1)

[tex]23a+13s=7145[/tex] --- (2)

From equation 1, [tex]a=465-s[/tex].

Substitute [tex]a[/tex] in equation 2 to get:

[tex]23 (465-s) + 13s = 7145[/tex]

[tex]10695 - 23s +13s =7145[/tex]

[tex]-10s = -3550[/tex]

[tex]s = 355[/tex]

Therefore, there were 355 senior citizen tickets sold.

Answer:

6) 24+4x

7) -24x+32

8) -21+42x

9)-24x-12

10) 72- 18x

Step-by-step explanation:

for each problem, you need to distribute the single variable to the parenthesis  for the final answer. For example, 3 (4x-25) > 3 x 4x = 12x > 3x-25 = -75 now you put both answers together making it 12x-75

Answer:

Number of marbles are 200000

Step-by-step explanation:

Rectangular box:

length = 5 feet

width =4 feet

height =3 feet

now, we can find volume of box

[tex]V=L\times W\times H[/tex]

[tex]V=5\times 4\times 3[/tex]

[tex]V=60ft^3[/tex]

Volume of marbles:

We know that shape of marbles will be in sphere

we are given

diameter =1 inch

radius =0.5 inch

[tex]r=\frac{0.5}{12} ft[/tex]

now, we can find volume

[tex]V=\frac{4}{3}\pi r^3[/tex]

we can plug value

[tex]V=\frac{4}{3}\pi (\frac{0.5}{12})^3[/tex]

[tex]V=0.00030[/tex]

now, we can find number of marbles

Number of marbles = ( volume of box)/( volume of marbles)

So, number of marbles are

[tex]=\frac{60}{0.00030}[/tex]

[tex]=200000[/tex]

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have the slope m = 4 and the point (2, 1). Substitute:

[tex]y-1=4(x-2)[/tex]      use distributive property

[tex]y-1=(4)(x)+(4)(-2)[/tex]

[tex]y-1=4x-8[/tex]        add 1 to both sides

[tex]\boxed{y=4x-7}[/tex]