40 oz < 3lb
Is it true or false ?

Answer:

Step-by-step explanation:

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9514 1404 393

Answer:

  3. $0.45

  4. 50%

  5. -5°, -1°, 1°, -2°, 5°

Step-by-step explanation:

3. The difference in tip amounts is ...

  15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45

  Jasmine paid $0.45 more tip than Candice.

__

4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.

__

5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.

We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.

The low temperatures were ...

Answer:

x=00

Step-by-step explanation:l

nnm

Answer:

5/8

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous one:

480/768

= 0.625

Convert this to a fraction:

0.625

= 5/8

So, the common ratio is 5/8

Answer:

1/12

Step-by-step explanation:

The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.

The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf

The third time, they have a 3/8 chance because they have already removed 2 magazines.

Multiply all of the probabilities together

5/10 * 4/9 * 3/8 = 60/720

Simplify:

60/60 / 720/60 = 1 / 12

Hope this helps!

Answer:

54 and 30

Step-by-step explanation:

84÷2=42-12=30

42+12=54

Answer:

(f + g)(4) = 9

Step-by-step explanation:

We have that:

f = {(-1,-3), (1,1),(2,3),(4,6)}

this means that:

f(-1) = -3

f(1) = 1

f(2) = 3

f(4) = 6

and we also know that:

g = {(-1,-1),(1,7),(4,3)}

hich means that:

g(-1) = -1

g(1) = 7

g(4) = 3

Now we want to find:

(f + g)(4)

For the general case of two functions f(x) and g(x)

(f + g)(x) = f(x) + g(x)

Then:

(f + g)(4) = f(4) + g(4)

and we know both of these values, so we can just replace them:

(f + g)(4) = f(4) + g(4) = 6 + 3 = 9

Then we get:

(f + g)(4) = 9

Answer:

55

Step-by-step explanation:

all of the angles in a triangle ALWAYS add up to 180 degrees.

do the math.

Answer:

a) 360 mice

b) 364 mice

Step-by-step explanation:

Assume :

A = number of infected mice , B = number of non-infected mice

P( infected mice overcoming infection ) = 70% = 0.7

P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3

P( mice becoming infected ) = 40% = 0.4

P ( mice not becoming infected ) = 1 - 0.4 = 0.6

Number of infected mice = 400

Number of non-infected mice = 1000 - 400 = 600

step 1 ; express the probabilities in matrix form

[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]

[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]

step 2 : multiply the matrix above to determine the number of mice that will be infected

a) For next week

PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]

i.e. 360 mice will get infected next week

next 2 week = P ( PX )

= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]

b) In 3 weeks time

P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]  

               = [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]

i.e.  364 mice will get infected in 3 weeks time

Answer:

10 miles per hour = 0.1862 meter per second

Step-by-step explanation:

Given

Speed in miles per hour = 10 miles per hour

As we know

1 mile = 1609.34 meters

and 1 hour  = 24*60 *60 seconds

Thus, 10 miles per hour in meter per second would be

10 * 1609.34/24*60 *60

= 0.1862 meter per second

Answer:

[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]

Answer:

x = 16

Step-by-step explanation:

The sum of the angles of a triangle are 180

128+ 2x-3 +23 = 180

Combine like terms

2x+148=180

Subtract 148 from each side

2x+148 -148 = 180-148

2x = 32

Divide by 2

2x/2 = 32/2

x =16

Answer:

(a-14) (a-3)

Step-by-step explanation:

Answer:

(a - 14) (a - 3)

Step-by-step explanation:

a² - 3a - 14 a + 42

a(a - 3) - 14 ( a - 3)

(a - 14) (a - 3)

Answer:

4 units

Step-by-step explanation:

P of a square is P =4s

A of a square is A = s^2

4s = s^2

Divide each side by s

4s/s = s^2/s

4 =s

Answer:

2 x 2

Explanation:

The prime numbers that multiply to 4 are 2 and 2.

Answer:

-8 degrees Celsius is warmer

Answer:

-8 degrees C.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The average rate of change is the gradient _

Gradient = Rise / Run = (y2 - y1) / (x2 - x1)

From the table ;

x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0

Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1

The answer would be (3,2) because you would do (x,-y)

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

Answer:

Slope: -3

y-intercept: -3

Equation: y = -3x - 3

Step-by-step explanation:

1. To get the slope (m):

m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards

2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)

3. Put is all together: y = -3x - 3

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

#teamtrees #PAW (Plant And Water)

Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

11

Step-by-step explanation:

See image below:)

Answer:

10.125

Step-by-step explanation:

Given the data :

28,45,12,34,36,45,19,20

The mean absolute deviation of the data is :

Σ|x - mean| / n

n = number of values = 8

Mean = Σx / n = 239 / 8

Mean = 29.875

Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size

Using a mean absolute deviation calculator ;

Mean absolute deviation = Σ|x - mean| / n = 10.125

Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

Answer:

[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]

the answer is 4,13 of the perimeter

Answer:

oo (infinite)

Step-by-step explanation:

the slope = (-2-7)/(-11+11) = -9/0 = oo

(infinite)