Working alone, it took Jane 14 hours to mop the warehouse. Stephen can mop the same warehouse in 10 hours. How long would it take them to work together?

Answer:

49 times

Step-by-step explanation:

You can divide 745.3 by 15 to see that 49 fifteens will fit in 745.3

Answer:

49 times

Step-by-step explanation:

745.3 / 15 = 15.68666...

Which translates to 15 times.

The solution to the given inequality expression is expressed as x ≥ 6

Given the inequality expression shown below;

5x-9/7≥3

Cross multiply

(5x -9)≥7(3)

Expand

5x-9≥21

Add 9 to both sides

5x ≥ 21 + 9

5x ≥ 30

x ≥6

The solution to the given inequality expression is expressed as x ≥ 6

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The completed relative frequency distribution table is as follows:

body temperature (in Fahrenheit) Percent

97.3 - 97.6 -----------------------------  38.9%

97.7 - 98.0 -----------------------------  33.3%

98.1 - 98.4 ------------------------------ 19.5%

98.5 - 98.8 ------------------------------ 8.3%.

In the question, we are asked to give the relative frequency distribution for the given frequency distribution.

Relative frequency distribution is the ratio of the assigned frequency to the total frequency.

The given frequency distribution table is:

body temperature (in Fahrenheit) Frequency

97.3 - 97.6 ---------------------------------- 14

97.7 - 98.0 ---------------------------------- 12

98.1 - 98.4 ----------------------------------- 7

98.5 - 98.8 ----------------------------------- 3

The total frequency can be calculated by adding all the frequencies.

Thus, the total frequency = 14 + 12 + 7 + 3 = 36.

Now, the relative frequency table, can be shown as follows:

body temperature (in Fahrenheit) ------ Percent

97.3 - 97.6 ----------------------------- 14/36 = 0.389 = 38.9%

97.7 - 98.0 ----------------------------- 12/36 = 0.333 = 33.3%

98.1 - 98.4 ------------------------------ 7/36 = 0.195 = 19.5%

98.5 - 98.8 ------------------------------ 3/36 = 0.083 = 8.3%.

Thus, the completed relative frequency distribution table is as follows:

body temperature (in Fahrenheit) Percent

97.3 - 97.6 -----------------------------  38.9%

97.7 - 98.0 -----------------------------  33.3%

98.1 - 98.4 ------------------------------ 19.5%

98.5 - 98.8 ------------------------------ 8.3%.

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For the complete question, check the attachment.

The initial amount of bacteria is 50.

In 12 minutes, bacteria doubles.

So, the amount of bacteria after first 12 minutes is,

After the next 12 minutes, the amount of bacteria is,

Again, after the next 12 minutes, the amount of bacteria is,

Again, after the next 12 minutes, the amount of bacteria is,

Now, the total time taken is 12+12+12+12=48 minutes.

Therefore, after 48 minutes, the amount of bacteria is 800.

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

The value of n = 3

Hence, option c i.e. n = 3 is correct

Step-by-step explanation:

Given the expression

Start Fraction 2 Over n End Fraction = two-thirds

it means,

\(\frac{2}{n}=\frac{2}{3}\)

Apply fraction cross multiply

if a/b = c/d,   then a×d = b×c

\(2\cdot \:3=n\cdot \:2\)

\(6=n\cdot \:2\)

switch sides

\(n\cdot \:2=6\)

divide both sides by 2

\(\frac{n\cdot \:2}{2}=\frac{6}{2}\)

\(n=3\)

Therefore, the value of n = 3

Hence, option c i.e. n = 3 is correct

Answer:

312

Step-by-step explanation:

Add the area of each face together

Don't forget the units!

Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.

We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).

We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.

36+24+96=156.

156x2=312.

This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.

When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.

I encourage you to let me know if this method works for you! I hope this helps!

Answer:

Hope the picture will help you. And Please Mark me brilliant!!!

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

x=38

Step-by-step explanation:

The net area of the paper needed is 4.125 square feet.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.

Therefore the total surface area is,

= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).

= 2(0.75 + 1.125 + 0.375).

= 2(2.25).

= 4.5 square feet.

Now, She left one of the bases uncovered which have an area of 0.375 square feet.

Therefore, the net amount of paper needed is = 4.5 - 0.375.

= 4.125 square feet.

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The proof that correctly shows < A ≅ < B in the figure of an isosceles triangle ABC, is the third option and attached

The given part is line AC =  line BC

Since CD bisects angle ACB this means that line CD share angle ACB into two equal parts to form

< ACD = < BCD

line CD = line CD this is called reflexive property

The Side-Angle-Side SAS postulate have it that the sides the two sides and the included angles should be equal for the triangles to be congruent. This is fulfilled by

Hence the triangle is congruent and < A ≅ < B

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Answer:

\(y = -7\)

\(y = 3\)

\(y = 13\)

\(y = 53\)

To find the slope of the line, we will use the formula below:

x

Answer:

\( w = 6 \)

Step-by-step explanation:

ST = w + 6,

PR = w

From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:

PR = ½ of ST

Plug in the values into the equation and solve for w.

\( w = \frac{1}{2}(w + 6) \)

\( w = \frac{w}{2} + 3 \) (distributive property of equality)

\( w - 3 = \frac{w}{2} \) (subtraction property of equality)

\( 2(w - 3) = \frac{w}{2}*2 \) (multiplication property of equality)

\( 2w - 6 = w \)

\( 2w - 6 - 2w= w - 2w \) (subtraction property of equality)

\( - 6 = - w \)

Divide both sides by -1

\( 6 = w \)

\( w = 6 \)

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

The key features of the function f(x) = 2log₃(x+7) graphed below include the following:

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this logarithmic function shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-7, ∞].

Range = [-∞, ∞].

In conclusion, we can logically deduce that this logarithmic function has a vertical asymptote is at x equal to negative seven.

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Answer:

to me I think its c but I don't know if I'm right or wrong and I'm sorry if im wrong and I hope I help you

Step-by-step explanation:

4^11  *  4^-8   = 4 ^(11 -8) = 4^3

Answer:

Step-by-step explanation:

x=24/5

Answer:

false

Step-by-step explanation:

Answer:

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

To find the slope use the slope formula:

Substitute the coordinates into slope formula to get the slope:

The matching choice is B.

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

Answer:

Step-by-step explanation:

First you need to find a common denominator which in this case it 10

*Remember that whatever you do to thee bottom you need to do to the top*

3/10 - 3/10

2/5 = 4/10

1/2= 5/10

So the order is

Katrina - 3/10

Jackie - 4/10

Molly - 5/10

Hope this helped

Answer:

36

Step-by-step explanation:

calculate the 6+the Other 6 together

Answer:

36