Which statements are TRUE? Select all that apply.

A. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
B. If 6 pens cost $7.74, then 7 pens cost $9.03.
C. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
D. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
E. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

Answer: 12

Step-by-step explanation: caculator

Answer:9/10 L

Step-by-step explanation:

Answer: 60.93 < μ < 69.07

Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.

To find the interval, use

x±[tex]z\frac{s}{\sqrt{n}}[/tex]

z is z-score related to the % of confidence level

In this case, a 99% confidence interval is 2.576

x is sample mean

Calculating:

[tex]x=\frac{63+69+62+66}{4}[/tex]

x = 65

65±[tex]2.576\frac{3.16}{\sqrt{4}}[/tex]

65±4.07

Confidence Interval: 60.93 < μ < 69.07

Meaning that we are 99% sure the population means is between 60.93 and 69.07.

Answer:

t = 17.5

f = 12

Step-by-step explanation:

interior corner angles in a square = 90 degrees

4t + 20 = 90

4t = 90 - 20

4t = 70

t = 17.5

7f + 6 = 90

7f = 90 - 6

7f = 84

f = 12

Answer:6mm

Step-by-step explanation:

So we know that you started with 100% and ended with 600% to get from 100 to 600 you would need to multiply by 6

100 * 6 = 600

So you know that to get back to your original number you would need to divide by 6

If you are trying to figure out what the original width is you would divide your current number by 6 to get the original number

36 / 6 = 6

Answer:

[tex]\frac{427}{100}[/tex]

Step-by-step explanation:

4.27 * 100 = 427

[tex]\frac{427}{100}[/tex]

Answer:

427/100

Explanation:

As a proper fraction it would be 4 and 27/100, so to make it improper you multiply 4 times 100 and add that to 27.

Answer:

3h - 2

Step-by-step explanation:

......................

Answer:

Answer c. -4

Step-by-step explanation:

Equations

Given:

f(x) = 2x + 7

We need to find the value of x such that:

f(x) = -1

Equating:

2x + 7 = -1

Subtracting 7:

2x = -1 - 7

Operating:

2x = -8

Dividing by 2:

x = -8 / 2 = -4

x = -4

Answer c. -4

Answer:

6

Step-by-step explanation:

$0.81 per cup.

There are 4 cups in a quart, so there are 8 cups in total . $6.48 ÷ 8 = $0.81

Answer:

$0.81 per cup

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Answer: X

Step-by-step explanation:

Answer:

B. X

BTW Jimin is living mochi!

Step-by-step explanation:

Answer:

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 2 miles radius

          h = 3 miles

plugin values into the formula

surface area = 2πrh + 2πr²

                     = 2π (2) 3  +  2π (2)²

                     = 37.699  +  25.133

                     = 62.832 mi.²

Answer:

Trina's number of hours studied is proportional to number of weeks studied

[tex] y = 2.5x [/tex]

Step-by-step explanation:

The ratio of each pair in any given table of values must be the same all through, for the relationship between two variables to be considered proportional.

In this case, we are looking at the relationship between number of weeks (x) and total number of hours studied (y).

The ratio for a pair is given as: y/x

If the ratio value for all pairs are the same in any of the given table, then it is proportional.

❌For Jessica's table of values, the first, second and third pair of values have a ratio of 2.5, however, the fourth pair has a different ratio of 4 (y/x = 40/10 = 4). So, this relationship is not proportional.

❌For Emily, the first, and second pair has a ratio of 2.5 while the third and fourth has different ratio. This also isn't a proportional relationship.

✅For Trina, the relationship between hours studied and the given number of weeks is proportional, because all pairs have the same ratio. That is: y/x = 5/2 = 10/4 = 20/8 = 25/10 = 2.5

✍️A proportional relationship can be written as [tex] y = kx [/tex].

Where,

y = total number of hours

x = number of weeks

k = constant of proportional = 2.5 (the ratio between y to x)

To generate an equation that represents the proportional relationship in the table of values for Trina, simply plug in the value of k in [tex] y = kx [/tex].

Thus, the equation would be:

✅[tex] y = 2.5x [/tex].

Answer:

give the dude brainliest

Step-by-step explanation:

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

[tex](Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters[/tex]

Hence,

The length of slide is 18.36 meters

Answer:

Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]

Step-by-step explanation:

Dillon read book on Monday = [tex]\frac{1}{5}[/tex]

Dillon read book on Tuesday = [tex]\frac{2}{5}[/tex]

We need to find fraction of the book did he read on Monday and Tuesday

So, Fraction of Book Dillon Read on Monday and Tuesday= Book read on Monday + Book read on Tuesday

Fraction of Book Dillon Read on Monday and Tuesday= [tex]\frac{1}{5}+\frac{2}{5}[/tex]

[tex]=\frac{1+2}{5} \ (Taking \ LCM \ of \ 5 \ and \ 5 \ we \ get \ 5) \\=\frac{3}{5}[/tex]

So, Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]

Answer: 22

22 should be the correct answer

Note: Consider we need to find each type of coins he has.

Given:

Erin has quarters and nickels for a total of 16 coins.

The value of his coins is $2.60.

To find:

The number of each type of coins.

Solution:

Let x represent the number of quarters and y represent the number of nickels.

According to the question,

Total coins : [tex]x+y=16[/tex]        ...(i)​

Total value : [tex]0.25x+0.05y=2.60[/tex]        ...(ii)​

Multiply equation (i) by 0.25 and subtract the result from (ii).

[tex]0.25x+0.05y-0.25(x+y)=2.60-0.25(16)[/tex]

[tex]0.25x+0.05y-0.25x-0.25y=2.60-4[/tex]

[tex]-0.20y=-1.40[/tex]

Divide both sides by -0.20.

[tex]y=7[/tex]

Put y=7 in (i).

[tex]x+7=16[/tex]

[tex]x=16-7[/tex]

[tex]x=9[/tex]

Therefore, the number of quarters is 9 and number of nickels is 7.

Explanation:

Erase the line from angle C to angle A. You'll be left with only one transversal. This transversal forms angles B and D, which are alternate interior angles. They are inside the parallel lines, so that's what makes them interior. They are also on alternating sides of the transversal line. Alternate interior angles are congruent when we have parallel lines like this.

Side note: Another pair of alternate interior angles would be angle A and angle E.

Answer:

Count them?

Step-by-step explanation:

Answer:

[tex]a_n=11-10\,n[/tex]

Step-by-step explanation:

Notice that in the sequence :

1, -9, -19, ...  one term differs from the following by a constant number that is subtracted from the first one. There is what is called a "common difference" (d = -10)

the first term is "1", and we can apply the formula for the nth term of an arithmetic sequence for which we know the first term , and the common difference:

[tex]a_n=a_1+(n-1) * d\\a_n=1\,+\,(n-1)*(-10)\\a_n=1-10\,n+\,10\\a_n=11-10\,n[/tex]

Answer:

c

Step-by-step explanation: sorry I'm late but I got a 100

Answer:

900*0.13

Step-by-step explanation:

I'm not sure exactly what your answer choices are saying (I'm sorry ab that!), but I do know for a fact this will get you the correct answer!

Answer:

B. multiply both sides by c.

Step-by-step explanation:

To solve the equation for x, you have to isolate the x variable on one side of the equation. To do this, do the opposite of any operation applied to x to remove other variables from the x's side of the equation:

x/c = d

multiply both sides of the equation by c to isolate x:

(x/c) * c = d * c

x = dc

Now x can be solved for.

Hope this helps :)

Answer:

1)0.4, 2) 0.004, 3) 0.04, 4) 4

Answer:

The slope of this line is 0.2

Step-by-step explanation:

m = -1 / -5 = 0.2

Answer:

1/5

Step-by-step explanation:

(7 - 8) / (10 - 15) = - 1 / ( - 5) = 1/5

Answer:

0.0549

0.7617

0.2383

Step-by-step explanation:

Given that:

Probability that incoming email is spam ;

P(spam) = 0.38

If three emails are in my inbox, what is the probability that:

A. All three messages are spam.

P(1st message being spam) * p(second message being spam) * p(3rd message being spam)

= (0.38) * (0.38) * (0.38)

= 0.054872

= 0.0549

B. At least one of the three messages are spam.

1 - p(none of the 3 messages are spam)

P(none of the 3 messages are spam)

P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62

1 - [P(not spam) * p(not spam) * p(not spam)]

1 - (0.62 * 0.62 * 0.62)

= 1 - 0.238328

= 0.761672

= 0.7617

C. None of the three messages are spam.

P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62

P(not spam) * p(not spam) * p(not spam)

(0.62 * 0.62 * 0.62)

= 0.238328

= 0.2383

Answer:

Step-by-step explanation:

A cheese is said to be classified as either raw-milk or pasteurized.

Given that: 82% is pasteurized,

Then:

Supposed two cheeses are chosen at random;

P(both cheeses are pasteurized) = 0.82 × 0.82

= 0.6724

If four cheeses are chosen at random;

P(that all four cheeses are pasteurized) = 0.82 × 0.82 × 0.82 × 0.82

P(that all four cheeses are pasteurized) = 0.452

The required probability for at least one of the four randomly selected  cheeses is raw milk is:

P(at least one of the randomly selected cheese is raw milk) = 1 - P(that all four cheeses are pasteurized)

P(at least one of the randomly selected cheese is raw milk) = 1 - 0.452

P(at least one of the randomly selected cheese is raw milk) = 0.548

However, since the probability that at least one of the randomly selected cheese is raw milk  is greater than one; then we can conclude that;

It is not  unusual that at least one of four randomly selected cheeses is raw-milk.

Answer:

Yes

Step-by-step explanation:

Well, this is a powers of powers problem. So the rule is that we always add our exponents and it will equal the same thing.

So therefore x3*x3*x3=x9=x9