Mike hiked to a lake in 3.5 hours at an average rate of 3 2/5
miles per hour. Pedro hiked the same distance at a rate of 3 4/5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

Answer: 16 and 40.  24 60

Step-by-step explanation:

Answer:

263.76

3.14x(42+42)

3.14x82=263.76 .

Answer:

75.36

Step-by-step explanation:

Given

3.14(a² + ab) ← substitute a = 4, b = 2 into the expression

= 3.14(4² + 4(2)) = 3.14(16 + 8) = 3.14 × 24 = 75.36

Answer:

The answer is A

Step-by-step explanation:

Given that the equation of line is y = mx + c and the slope is 7 :

y = 7x + c

By substituting the coordinate(8,6) into the equation, in order to find the value of c:

6 = 7(8) + c

6 = 56 + c

c = 6 - 56

= -50

y = 7x - 50

(Hope this can help)

Answer:

Angle M has a measure of 47°.

What is the measure of angle PNL?

43°

47°

86°

94°

Answer:

43

Step-by-step explanation:

trust me

Answer:

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

Step-by-step explanation:

There are

The empirical probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

The net represents a rectangular prism with two rectangles of 4x8 units, two rectangles of 8x3 units, and two rectangles of 4x3 units. The net of a cube doesn't match these dimensions, as it has equal sides. The 6 and 12 rectangular prisms do not match, unless they can confirm to these specific dimensions.

The question is asking to identify which net corresponds to a specified rectangular prism with given dimensions. A net in mathematics refers to a pattern that you can cut and fold to make a model of a solid shape. A net of a rectangular prism consists of six rectangles of two pairs with equal dimensions - however, within each pair, the two rectangles may not be identical in dimensions to the other pair.

For this case, the rectangular prism described will have two rectangles with a height of 4 units and a width of 8 units, two rectangles with a width of 8 units and a height of 3 units, and two rectangles with a width of 4 units and a height of 3 units.

Thus, the correct net for this rectangular prism is the one with these described dimensions. We can eliminate the net of a cube options as those will have equal sides on all faces, which this prism does not have. The rectangular prism 12, 6, unless they match the above dimensions, also will not be the correct answer.

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Answer:2 3/10

Step-by-step explanation:

Answer:

1 and 2/3

Step-by-step explanation:

The fraction 5/3 can be expressed as the mixed number 1 2/3.

The fraction 5/3 cannot be expressed as a whole number because it is an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator.

To convert the improper fraction 5/3 into a mixed number (a whole number plus a proper fraction), we divide the numerator (5) by the denominator (3):

5 ÷ 3 = 1 remainder 2

The result tells us that 5 divided by 3 equals 1, with a remainder of 2.

Therefore, the fraction 5/3 can be expressed as the mixed number 1 2/3.

Learn more about Mixed Fraction here:

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Answer:

[tex](x-2)(x+2)\left(x+3\right)^2[/tex]  is the required factor form.

Step-by-step explanation:

When the factor of the expression is required to be found, then take the common terms, or find the factor by splitting the terms, or by using the standard formulas.

So here we have to find the factor of the expression:

[tex](x^2-4)(x^2+6x+9)\\[/tex]

so we will first find the factors of:

[tex](x^2-4)=(x-2)(x+2)~~~~~~~~~~~~~~~~~\because x^2-y^2=\left(x+y\right)\left(x-y\right)\\[/tex]

Now the factors of:

[tex](x^2+6x+9)=\left(x+3\right)^2~~~~~~~~~\because \left(a+b\right)^2=a^2+2ab+b^2[/tex]

So the final factor is given as:

[tex](x^2-4)(x^2+6x+9)\\=(x-2)(x+2)\left(x+3\right)^2[/tex]

Answer:

$339.00 for a week

Step-by-step explanation:

Step 1:  Convert words into an expression

The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day.

f(d) = 45 + 42d

Step 2:  Find the cost for a week/7 days

f(7) = 45 + 42(7)

f(7) = 45 + 294

f(7) = 339

Answer:  $339.00 for a week

Answer:

8 sundaes.

Step-by-step explanation:

Follow below steps:

Combinations without repetition:

In the given scenario, the ice cream shop uses 4 spoonfuls of sprinkles for 1 sundae. To find out how many sundaes they made with 32 spoonfuls of sprinkles, divide the total number of spoonfuls by the amount of sprinkles used per sundae: 32 spoonfuls ÷ 4 spoonfuls = 8 sundaes.

Combinations with repetition:

Explaining combinations with repetition involves calculating the different combinations possible when taking into account repeated flavors in ice cream selections.

Answer:

C)x = +/-15

Step-by-step explanation:

15x15=225

-15x-15=225

Answer:

A

Step-by-step explanation:

The answer would be the square root of 225

Answer:

12

Step-by-step explanation:

Since 12 itself a factor of 36, there can't be a greater commonly factor

Answer:

233

Step-by-step explanation:

so we add up the total number of people surveyed (198+212+187) and get 597. So, then we multiply 597 by 0.39 (597(.39)) and that gives us 232.83. we round up 232.83 to 233 and thats the answer

Answer:

x =7

Step-by-step explanation:

16:28=4:x

16*x=28*4

x=28*4/16

x=112/16

x=7

Answer:

7

Step-by-step explanation:

16/4=4 28/4=7

Answer:

The answer is D, the random sample does not represent all people who are likely to watch the chef's cooking show.

Step-by-step explanation:

This is because not all people who enjoy cooking know about or visit the chef's blog.

Answer:ok guys so the answer is D

Step-by-step explanation: Not all people who enjoy cooking know about or visit the chefs blog

Check the picture below.

A)

well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.

B)

at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.

C)

at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.

does it fall the same distance on both intervals? well, they're different, so nope.

Answer:

146

Step-by-step explanation:

Begin by substituting 20 in for y

8y-14

8(20)-14                   Multiply 8 and 20

160-14                       Subtract

146

Hope this helps!

Step-by-step explanation:

[tex]8y-14 = 8(20) - 14 [/tex]

[tex] [/tex]

160-14=146

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

Answer: What is the

Step-by-step explanation:

The answer would be a two-column proof.

A two-column proof is a logical argument arranged with statements and reasons.

Hope that helps, :)

Answer:

(8, -9), (11, -9)

Step-by-step explanation:

The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.

For a line to not intersect the line y = 7, it must be parallel to y = 7.

The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.

From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.

Answer: (8, -9), (11, -9)

d = √((7 - 5)² + (7 - 7)²)

d = √(2² + 0²)

d = √4

d = 2

((5 + (2/2)), 7)

= ((5 + 1), 7)

= (6, 7)

Answer:

48/52, or 0.92307692307

Step-by-step explanation:

There are 13 cards in each of the 4 suits.

A,2,3,4,5,6,7,8,9,10,J,Q,K.

If there is 1 six in 1 suit, and there are 4 suits, there are 4 sixes. The chance of NOT getting a 6 is 52(all the cards)-4(six delt) /52.

48/52=0.92307692307

Want it more professionally?

Using the scientific probability method:

p=probability

p(all cards in 1 deck)-p(a 6 dealt)=p(not dealt a 6)

p(52/52)-p(4/52)=p(not dealt a 6)

p(48/52)=p(not dealt a 6)

There is a 48/52 chance (0.92307692307) that you are not dealt a 6.

Hope this helps!

The probability of not being dealt a six from a 52-card deck is 12/13.

Probability of not being dealt a six:

There are 52 cards in a deck.

There are 4 sixes in a deck .

Hence, the probability of not getting a six when dealt one card is 1 - (4/52) = 48/52 = 12/13.

Answer:

A) 4*4x-4*3 and 16x-12

B) 12y+15y and 27y

Step-by-step explanation:

For A when you do the distributive property, you get:

4(4x-3)

4*4x-4*3 (which is one of the choices)

16x-12 (which is one of the choices)

For B when you combine like terms, you get:

12y+5y+10y

12y+15y (which is one of the choices)

27y (which is one of the choices)

Answer:

-1

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

The price of car purchased 5 years ago = 15000

The price of car sold = 7000

By compound depreciation,

[tex]Pn = P (1 - R/100) ^ T[/tex]  ... (1)

where Pn = 7000

P = 15000

R = rate of interest to be calculated

T = 5 ( number of years)

substituting the values in equation (1), we get

[tex]7000 = 15000 (1 - R/100) ^ 5[/tex]

[tex]0.46 = (1 - R/100) ^ 5[/tex]

[tex]0.858 = 1 - R/100[/tex]

0.858 is rounded off as 0.86

R/100 = 0.14

By simplifying the above equation, we get

Rate of depreciation = 14%

Answer:

(q + 1)(q + 5p)

Step-by-step explanation:

q² + q + 5pq + 5p

= (q² + q) + (5pq + 5p)

Consider that : q² + q = q(q + 1) and 5pq + 5p = 5p(q + 1)

then

q² + q + 5pq + 5p 

= (q² + q) + (5pq + 5p) 

= q(q + 1) + 5p(q + 1)  

= (q + 1)(q + 5p)

Good luck :)

Final answer:

The expression q^2 + q + 5pq + 5p is factored by grouping into (q + 5p)(q + 1) by factoring out common factors from the grouped terms.

Explanation:

To factor by grouping the expression q2 + q + 5pq + 5p, we need to group the terms in a way that common factors can be factored out.

Firstly, we divide the expression into two groups:

We can then factor out the common factor from each group:

Now, we can see that the term (q + 1) is common in both grouped expressions:

q(q + 1) + 5p(q + 1)

The expression can be factored as:

(q + 5p)(q + 1)

This is the factored form of the original expression.

Answer:

(1/5x+29/5)

(1/5x÷1/5) + (29/5÷1/5)

(x) +(29)

x+29

[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]

Solution:

Given expression:

[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]

To solve the expression:

[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]

If f(x) = g(x) then ln(f(x)) = ln(g(x)).

Using the above condition, we can write

[tex]$\ln \left(1.0125^{4 x}\right)=\ln \left(\frac{3}{2}\right)[/tex]

Apply log rule: [tex]\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)[/tex]

[tex]$4 x \ln (1.0125)=\ln \left(\frac{3}{2}\right)[/tex]

Divide both side of the equation by [tex]4 \ln (1.0125)[/tex].

[tex]$\frac{4 x \ln (1.0125)}{4 \ln (1.0125)}=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]

[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]

The answer is [tex]x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex].

Final answer:

To solve for x by converting to a logarithm, the base used depends on the context and specific problem. In this case, the natural logarithm is used as the base is relevant to the equation.

Explanation:

To solve for x by converting to a logarithm, you need to determine the base of the logarithm. In this case, the answer is x = ln(3/2) / 4ln(1.0125), where ln represents the natural logarithm.

The natural logarithm, denoted by ln, is the logarithm with base e, where e is an irrational number approximately equal to 2.71828. It is commonly used in calculus and other fields of mathematics.

When converting to a logarithm, the base can be any positive number greater than 1. The choice of base depends on the context and the specific problem being solved. In this case, the natural logarithm is used because it is relevant to the given equation.

Answer:

The probability for Heads will be 60% or 3/5.

The probability for Tails will be 40% or 2/5.

Step-by-step explanation:

The coin flipped 5 times and landed on Heads 3 times. This shows that out of 5 situations, 3 situations were Heads. Therefore, the  probability is 3/5.

The coin landed on Tails 2/5 times the coin was flipped, which is basically the probability.

The probability of getting 3 heads and 2 tails in 5 flips of a coin, in any order, is 0.3125 or 31.25%. This is calculated by figuring out the number of ways to get 3 heads and 2 tails out of 5 flips (10 ways) and dividing that by the total possible outcomes in 5 flips (32 outcomes).

The question is asking about the probability of getting three heads and two tails in 5 flips of a fair coin. The order given in the question (H, H, H, T, T) doesn't matter in this case because the flips are independent events.

We calculate the probability by figuring out the number of ways we could get 3 heads and 2 tails out of 5 flips and divide that by the total number of outcomes in 5 flips of a coin. There are 10 ways to get 3 heads and 2 tails out of 5 flips, and there are 32 total possible outcomes in 5 flips of a coin (because 2^5 = 32, as each flip has 2 possibilities, heads or tails).

So, P(H, H, H, T, T) = 10 / 32 = 0.3125 or 31.25%

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