Ginger likes to ride her bicycle and she wants to ride 30 miles the first day, 55 miles the second day and 100 miles the third day. How many miles will she ride during the three days?

Answer:

The possible values of c are 1 or 2. There are 13 hearts in a deck of cards and 52-13 = 39 cards that are not. There are a total of 52 cards to choose from, so the possibilities for each value of c are found by dividing the number of results for that value by 52. (Image 1)

Histogram is attached for your reference.

Answer:

Perimeter: 36 m

Area: 60 m squared

Step-by-step explanation:

The perimeter is the sum of the exterior side lengths of the shape. Here, we see that there are two side lengths given, but we need to find the third one.

Notice that the triangle is split up into two right triangles, which means that we can use the Pythagorean Theorem to solve for half of the remaining side. The right triangles have hypotenuses of 13 and one leg of 12. That means the second leg will be [tex]\sqrt{13^2-12^2} =\sqrt{169-144} =\sqrt{25} =5[/tex].

So, the third side is made up of the two legs with length 5. This makes the length of the remaining side: 5 + 5 = 10.

Now, we can calculate the perimeter: P = 10 + 13 + 13 = 36 meters.

The area is calculated by the formula: [tex]A=\frac{1}{2} bh[/tex] , where b is the base and h is  the height. Here, the base is what we found above, 10, and the height is the length that makes a perpendicular with the base, which is 12. So, the area is: [tex]A=(1/2)*10*12=(1/2)*120=60[/tex]. So, the area is 60 square meters.

Hope this helps!

Answer:

36m

60m²

Step-by-step explanation:

Base of 1 right angle triangle:

sqrt(13² - 12²)

5

Base of the bigger triangle:

5 + 5 = 10

Perimeter = 13 + 13 + 10

36 m

Area = ½ × 10 × 12

60 m²

Answer:

Step-by-step explanation:

The tons should be used to measure the weight of the rhino to eliminate the scientific notation option fourth is correct.

It is given that Leah is measuring the weight of adult rhinos at the zoo.

It is required to find the unit of measurement she should use to eliminate the need to write the values in scientific notation.

Given options:

1) grams

2) feet

3) gallons

4) tons

It is defined as the numerical quantity that gives an idea about an object's weight, length, width, and many more. It can be used to compare two objects.

We know the feet are the unit of measuring the length and gallons are the unit of measuring the volume.

The grams and tons are the units of measuring the weight.

Grams would use to measure a small amount of weight whereas we would use the tons to measure a large amount of weight. Ton is a metric unit that equals 1000 kilograms.

Thus, the tons should be used to measure the weight of the rhino to eliminate the scientific notation option fourth is correct.

Learn more about the measurements here:

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Answer:

2 apples Follow me if u have any more request next time

Step-by-step explanation:

5-3=2

Answer:

The surface area is 88*pi square units.

Step-by-step explanation:

The surface area of a cylinder is given by two times the area of the base plus the area of the sides. This is given bellow:

surface area = 2*(base area) + (side area)

base area = pi*r²

base area = pi*(4)²

base area = pi*16 = 16*pi

side area = 2*pi*r*h

side area = 2*pi*4*7

side area = 8*7*pi

side area = 56*pi

surface area = 2*(16*pi) + 56*pi

surface area = 32*pi + 56*pi

surface area = 88*pi

The surface area is 88*pi square units.

Answer:

112π cubic units

Step-by-step explanation:

The volume of a cylinder is the area of the base × height.

The area of a circle is πr to the 2nd power

So the area of the base is π × 4 to the second power = 16π

The height of the cylinder is 7, so the volume is 16π × 7 = 112π cubic units

Answer:

40%

Step-by-step explanation:

multiply 80 by.40 you will get 32 hope this helps god bless

Answer:

⅖

Step-by-step explanation:

4/15 ÷ 2/3

4/15 × 3/2

2/5

Answer: 2/5 or 0.4

Step-by-step explanation: When dividing a fraction by another fraction you will always find the reciprocal of the second fraction and then multiply to get your answer.

4/15 divided by 2/3

4/15 multiplied by 3/2

0.4 or 4/10 or 2/5 is the value of 4/15 divided by 2/3

The measure of an arc is the degree/radian measure. You measure the central angle to find the measure of an arc.

The arc length is the actual length (like 2pi inches or 7 cm, etc.). You find the length of the curved part (the arc), not the straight distance between the 2 points given.

Answer:

1

Step-by-step explanation:

Volume of Cube = a³

a is the length of one side of cube

Volume = a³ = 1³ =1x1x1 = 1

Answer:

It is a right triangle.

Step-by-step explanation:

A right triangle is a triangle with at least one angle with 90 degrees.

We know that every triangle has 180 degrees. The other unknown angle is 180 - (30+60) = 180 - 90 = 90. That means that the other angle is 90 degrees. Therefore, it is a right triangle

We also know that in this triangle, that the square of one side plus the square of another is side is equal to the square of the hypotenuse of the triangle. (According to Pythagorean theorem)

Answer:

The second-longest side is the square root of 3 times as long as the shortest side.

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1/2( 4^3 - 6 * 3^2)

PEMDAS says parentheses first

( 4^3 - 6 * 3^2)

Exponents

(64 - 6 * 9)

Multiply and divide from left to right

64 - 54

Add and subtract from left to right

10

Substitute back into the expression

1/2(10)

5

Answer:

1,500,000 gallons

Step-by-step explanation:

In this question, we are to calculate the total volume of the aquarium after installing a new dolphin tank.

Mathematically, to calculate this, we simply need to add the the volume of the new dolphin tank to the volume of the things in the aquarium before bringing the dolphin tank.

The volume of all the things in the aquarium before installing the dolphin tank is 1.25 * 10^6 = 1,250,000 gallons

now let’s add the volume of the dolphin tank which is 250,000 gallons

that would be 1,250,000 + 250,000 = 1,500,000 gallons or 1.5 * 10^6 gallons

Answer:

-3

Step-by-step explanation:

10 - -2 = 12

1 - 5 = -4

12 / -4 = -3

Answer:

m = -3

Step-by-step explanation:

slope formula [tex]\frac{10-(-2)}{1-5} = -\frac{12}{4}[/tex] = -3

Answer:

For the 1st row its Line Graph and Changes over time.

For the 2nd Row its Bar Graph and Categorical.

Step-by-step explanation:

Answer:

8 + [tex]\frac{x}{4}[/tex]

Step-by-step explanation:

I'm assuming you want an answer to the top section of the question.

We can start with 8.

    8

When a problem asks for the sum, it's looking for addition, so we use the + sign.

    8 +

The problem says "a number," so let's represent that with x. Basically, x just means a number we don't know.

    8 + x

The "number" is divided by 4, so we'll just put x/4 as our second term.

   8 + [tex]\frac{x}{4}[/tex]

Answer:

28.4 miles less

Step-by-step explanation:

1. Find the length of the third side of the triangle with the pythagoream theroum

2. Pythagorean theroum= a^2+b^2=c^2

3. 45^2+ 55^2=c^2

4. 2025+3025=c^2

5. 5050=c^2

6. 71.06=c

7. Instead of driving 100 miles to work, Evelyn will now drive only 71.06 miles to work

7. That is 28.4 miles less than before

Answer:30 miles you save 30 miles

Step-by-step explanation: if you go around its 48+55=103 miles

Do formula a^2+ b^2= c^2

48^2+ 55^2=c^2

2304+3025= c^2

5329=c ^2

Sq rt of 5329 is 73

103-73=30

Answer: On average, each country receives 2.93 inches of rain each day.

Step-by-step explanation:

Since we have given that

Palm Beach = 2.3

Broward = 3.5

Dade = 3.0

So,the average inches of rain each country would receive each day would be :

[tex]\dfrac{2.3+3.5+3.0}{3}=\dfrac{8.8}{3}=2.93\ inches[/tex]

Hence, on average, each country receives 2.93 inches of rain each day.

Answer:

1216 is equivalent to 68 because 12 x 8 = 16 x 6 = 96.

Step-by-step explanation:

Answer:

The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.

Step-by-step explanation:

Derivative Rule:

Given that

The radius of the oil spill increases at a rate 1.5 m/s.

i.e [tex]\frac{dr}{dt}= 1.5\ m/s[/tex]

We need to find the rate of area increase i.e [tex]\frac{dA}{dt}[/tex] .

We know,

The area of the oil spills A = [tex]\pi r^2[/tex]  ( since it spreads in circular pattern)

[tex]\therefore A=\pi r^2[/tex]

Differentiating with respect to t

[tex]\frac{dA}{dt}=\pi. 2r\frac{dr}{dt}[/tex]

Plug the value of [tex]\frac{dr}{dt} =1.5 \ m/s[/tex]

[tex]\frac{dA}{dt}=\pi. 2r(3\ m/s)[/tex]

[tex]\Rightarrow \frac{dA}{dt}=6\pi r \ m/s[/tex]

Plug r= 30 m

[tex]\Rightarrow \frac{dA}{dt}=6\pi (30\ m) \ m/s[/tex]

         =180 π m²/s

The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.

Answer:

y is greater than or equal to 14

Step-by-step explanation:

Answer:

y ≥ 14

Step-by-step explanation:

y - 27 ≥ -13

you manipulate this inequality like it is an equation. Only take care that the inequality swaps if you multiply by a negative. In this case, that is not needed.

y - 27 +27 ≥ -13+27

y ≥ 14

Answer:

840

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

In the menu, there are 6 main ingredients and we take 2 at the same time, so the possible outcomes is:

[tex]C^{6} _{2}[/tex] = [tex]\frac{6!}{(6-2)!*2!}[/tex] = 15

In the menu, there are 8 toppings and we take 3 at the same time, so the possible outcomes is:

[tex]C^{8} _{3}[/tex] = [tex]\frac{8!}{(8-3)!*3!}[/tex] = 56

=> the total  number of combinations :

=[tex]C^{6} _{2}[/tex]*[tex]C^{8} _{3}[/tex]

=15 * 56 = 840

Answer:

2/7

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. That way they go infinity without touching so are perfectly parallel

Answer:

5.4 hours

Step-by-step explanation:

As the number of hours of daylight y is modeled as a function of sin, and sin has the minimum value of -1. Therefore

[tex]sin(2\pi 365x-1.4) \geq -1[/tex]

[tex]7sin(2\pi 365x-1.4) \geq -7[/tex]

[tex]7.0sin(2\pi 365x-1.4)+12.4 \geq 5.4[/tex]

[tex]y \geq 5.4[/tex]

So the minimum number of hours of daylight in Anchorage is 5.4 hours

Final answer:

The minimum number of hours of daylight in Anchorage, Alaska, can be found using the equation provided. By considering the minimum value of the sine function, we determine that Anchorage experiences a minimum of 5.4 hours of daylight.

Explanation:

The minimum number of hours of daylight in Anchorage, Alaska, can be determined by examining the mathematical model y=7.0sin(2ω⁄365x−1.4)+12.4.

The amplitude of the sine function in this equation is 7.0, which determines the maximum variation above or below the average value.

Since the sine function oscillates between -1 and 1, the minimum value of the sine part of the equation will be -1.

Therefore, the minimum number of hours of daylight, y, occurs when the sine function is at its minimum value. By substituting -1 into the equation, we get y=7.0×(-1)+12.4, which simplifies to y=5.4.

This means that the minimum number of hours of daylight in Anchorage is 5.4 hours.

Answer:

What is the average temperature in degrees Celcius of Alaska in the winter?

The integer -5 can represent a loss or debt of 5 in real-world situations like owing someone 5 dollars, or a temperature drop 5 degrees below zero. Another example could be temperature. If the temperature drops 5 degrees below zero, it can be represented as -5 degrees.

In Mathematics, an integer can represent various scenarios. The integer -5 could symbiotically stand for a loss or debt of 5 in real-world situations. For example, if you owe someone 5 dollars, your net balance would be -5 dollars. Another example could be temperature. If the temperature drops 5 degrees below zero, it can be represented as -5 degrees.

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Answer:

0.07215 = 0.072 to 3 d.p.

Step-by-step explanation:

Central limit theorem explains that the sampling distribution obtained from this distribution will be approximately a normal distribution with

Mean = population mean

μₓ = μ = 9.8 minutes

Standard deviation of the distribution of sample means = σₓ = (σ/√n)

σ = 12 minutes

n = sample size = 30

σₓ = (12/√30) = 2.191

Probability that a random sample of 30 overtime periods would have a (sample) mean length of more than 13 minutes

Required probability = P(x > 13)

Since we've established that this distribution of sample means approximates a normal distribution

We first standardize 13 minutes.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (13 - 9.8)/2.191 = 1.46

Required probability

P(x > 13) = P(z > 1.46)

We'll use data from the normal probability table for these probabilities

P(x > 13) = P(z > 1.46) = 1 - P(z ≤ 1.46)

= 1 - 0.92785 = 0.07215

Hope this Helps!!!

Given:

Given that the two sides of the triangle are x, 4.0 and 5.6

We need to determine the range of possible sizes for the side x.

Range of x:

The range of x can be determined using the triangle inequality theorem.

The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".

Thus, applying the theorem, we have;

[tex]x=4.0+5.6[/tex]

[tex]x=9.6[/tex]

Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".

Thus, we have;

[tex]x=5.6-4.0[/tex]

[tex]x=1.6[/tex]

Thus, the range of possible values for x are [tex]1.6<x<9.6[/tex]

In accordance with the triangle inequality theorem, the range for the length of the third side (x) in a triangle with sides of 4.0 and 5.6 is greater than 1.6 but less than 9.6.

In the field of Mathematics, specifically geometry, to find the range of possible lengths of a side of a triangle, you need to understand the triangle inequality theorem. The triangle inequality theorem states that the length of a side of a triangle must be less than the sum of the lengths of the other two sides, but more than the absolute difference.

Given you have two sides, 4.0 and 5.6, the possible length for side x should be less than (4.0 + 5.6 = 9.6) and greater than the absolute difference (5.6 - 4.0 = 1.6). So, the range for side x should be 1.6 < x < 9.6.

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Answer:

12 hours

Step-by-step explanation:

Let's call the Jennifer's speed J, and the Krystal's speed K.

If Jennifer works alone, she can do the job in 6 hours, so:

J*6 = 1000

J = 1000/6 = 500/3

If Jennifer and Krystal work together, they can do the job in 4 hours, so:

(J+K)*4 = 1000

J+K = 250

Using the value of J, we can find K:

500/3 + K = 250

K = 250 - 500/3 = 250/3

Now, to find the time that Krystal would take if she works alone:

K * time = 1000

250/3 * time = 1000

time = 1000/ (250/3) = 1000*3/250 = 12 hours

Answer:

12 hours

Step-by-step explanation:

please check the attached files for explanation

Answer:

Step-by-step explanation:

45 gallons but your questtion doesnt make sense because you dont give us the number in gallons per minute

Answer:

(0, 15/6) (15/7,0)

Step-by-step explanation:

Just set the other value to 0 and you can very quickly solve these.