A custodian has 5 1/2 gallons of paint. Each of the bookcases she is painting requires 1/2 gallon of paint. How many bookcases will the custodian be able to paint with that amount of paint
A. 3
B. 4
C. 11
D. 15

Answer:

5.7

Step-by-step explanation:

We can use a proportion to solve the problem:

24 : 100 = 1.37 : x

x = (100 * 1.37)/24 = 137/24 = 5.7

Answer:

64 cm^3

Step-by-step explanation:

answer for question no 5

length , breadth and height of the cube are always equal .So

here length = 4 cm

volume of a cube = l^3

=4^3

=64 m^2

Answer:

A. $ 17.14 million.

Step-by-step explanation:

Profit:

The profit, in millions of dollars, on year x, is given by:

[tex]y(x) = -0.34x^2 + 4.43x + 3.46[/tex]

Year 8

This is y(8). So

[tex]y(8) = -0.34(8^2) + 4.43(8) + 3.46 = 17.14[/tex]

$17.14 million, option A.

Answer:

The total number of ways to give the answer of the question is 16777216.

Step-by-step explanation:

Total number of questions = 24

The number of possibilities so that the answer is given is only 2. It is either true or false.

So, the total number of ways to complete the test is

[tex]2^{24} = 16777216[/tex]

Answer:

5x / (x - 4)

Step-by-step explanation:

(x + 1)/(x - 4) • 5x/(x + 1)

Method 1:

Cancel out x + 1

Leaving 5x/(x - 4)

Method 2:

(x + 1)/(x - 4) • 5x/(x + 1)

Multiply numerator and denominator separately

= 5x(x + 1) / (x - 4)(x + 1)

Cancel out (x + 1) in the numerator and (x + 1) in the denominator

= 5x / (x - 4)

Therefore,

(x + 1)/(x - 4) • 5x/(x + 1) = 5x / (x - 4)

The  probability that she buys fruit or buys a CD is 1.3.

The  probability that she buys fruit and buys a CD is 0.42.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The  probability that she buys fruit or buys a CD = 0.7 + 0.6 = 1.3

The  probability that she buys fruit and buys a CD = 0.7 X 0.6 = 0.42

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:rectangular

Step-by-step explanation:

Answer:

TRIANGULAR

Step-by-step explanation:

A prism is a triangular-shaped piece of glass. The white light that reaches the prism contains all of the colors of the visible spectrum even though you can’t see them. As the white light passes through the edge or boundary of the prism, the light waves refract. Each of the different wavelengths contained in the white light refracts differently and results in a different color. The white light is broken up by the prism into all the colors of rainbow. The longest wavelength bends (refracts) the least and is red. The shortest wavelength bends the most and is violet.

Answer: (X-12)(x+4)

The middle number is -8 and the last number is -48.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -8

Multiply together to get -48

Can you think of the two numbers?

Try 4 and -12:

4+-12 = -8

4*-12 = -48

Fill in the blanks in

(x+_)(x+_)

with 4 and -12 to get...

(x+4)(x-12)

Answer:

(x+4)(x−12)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { (x - 12)(x + 4 )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {x}^{2} - 8x - 48[/tex]

[tex] = {x}^{2} + 4x - 12x - 48[/tex]

Taking [tex]x[/tex] as common from first two terms and [tex]12[/tex] from last two terms, we have

[tex] = x \: (x + 4) - 12 \: (x + 4)[/tex]

Taking the factor [tex](x+4)[/tex] as common,

[tex] = (x - 12)(x + 4)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

C.4/9

Step-by-step explanation:

You add the black marbles, blue marbles, and the white marbles together, which equal 18. Out of the 18 marbles, 8 of them are white so it would be 8/18.

but you have to simplify it. 8 and 18 have 2 as the greatest common factor. 8 divided by 2 is 4 and 18 divided by 2 is 9. Finally its 4/9 since you cant simplify it even more.

Answer:

Add 6 to the x-axis and 3 to the y-axis.

Step-by-step explanation:

Right and left are x-axis, and up and down are y-axis.

Answer:

theres the graph

Step-by-step explanation:

9514 1404 393

Answer:

  30 mL

Step-by-step explanation:

The meaning of 60% solution is ...

  alcohol/(total volume) = 0.60

You are told the amount of alcohol is 18 mL, so you have ...

  (18 mL)/(total volume) = 0.60

Multiplying by total volume gives ...

  18 mL = 0.60 × (total volume)

Then dividing by 0.60, you have ...

  (18 mL)/0.60 = total volume = 30 mL

_____

Additional comment

You need to apply what you know about the real world to consider whether your answer makes any sense. If alcohol is a little more than half of the volume, and the amount of alcohol is 18 mL, then the total volume cannot be less than 18 mL. In fact, you expect it to be not quite double 18 mL.

An answer of 10.8 mL makes no sense in this context. You cannot have less total solution than you have of something that makes up a part of the total solution.

Answer:

50"

В

A

mC

m B

mA

Step-by-step explanation:

Answer:

6.667

Step-by-step explanation:

I just did the calculations

Answer:

a=1, b=9 and c= 5

Step-by-step explanation:

9/11 divided by 5/11

= 9/11 * 11/5

11 gets cancelled

=9/5

it can also be written as 1* 9/5

Hence here a=1, b=9 and c= 5  

Please mark me as brainliest.

Answer:

[tex]{ \bf{(a).}} \\ { \tt{ {n}^{th} = a + (n - 1)d }} \\ { \tt{ {n}^{th} = 6 + (n - 1) \times - 4 }} \\ {n}^{th} = 10 - 4n \\ \\ { \bf{(b).}} \\ { \tt{ {n}^{th} = - 8 + (n- 1) \times - 7 }} \\ { \tt{ {n}^{th} = -1 - 7n}}[/tex]

Answer:

The total number of registered doctors was 167,722.

Step-by-step explanation:

Total number of doctors:

The total number of doctors is given by x.

31.6% of all registered doctors were female. 53,000 female doctors.

This means that:

[tex]0.316x = 53000[/tex]

What was the total number of registered doctors?

We have to solve the above equation for x. So

[tex]x = \frac{53000}{0.316}[/tex]

[tex]x = 167722[/tex]

The total number of registered doctors was 167,722.

Answer:

[tex]y=-2x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=-2x+1[/tex]

The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-2x+b[/tex]

Plug in the given point (2,4) to solve for b

[tex]4=-2(2)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate b

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, the y-intercept of the line is 8. Plug this back into [tex]y=-2x+b[/tex]:

[tex]y=-2x+8[/tex]

I hope this helps!

Answer:

(a) Nominal data

(b) Calculating the mean is wrong

Step-by-step explanation:

Given

[tex]1 \to[/tex] Basketball

[tex]2 \to[/tex] Baseball

[tex]3 \to[/tex] Football

[tex]4 \to[/tex] Others

Solving (a): The level of measurement

In the given parameters, digit 1 to 4 are used to label each of the given sport.

When such labels are used, the type of data is nominal.

Solving (b): The error

In (a), we identified that the level of measurement is nominal. This implies that, the data are not counted, but instead they are categorized.

And as such, the mean of the data cannot be calculated.

Step-by-step explanation:

I am not critically certain but the ways you have jotted down your enquiry..

13 × (4×11)

13 × 44

=572 - 44= 528

528+13 =541

541 ×13=7033

Answer:

Option (3)

Step-by-step explanation:

Base function in the graph is 'f' and the transformed form of the function 'f' is function 'g'.

Since, the base function 'f' is reflected across the x-axis,

h(x) = -f(x)

Followed by the translation by 3 units downwards,

g(x) = h(x) - 3

      = -f(x) - 3

Therefore, function in the form of g(x) = -f(x) - 3 will be the answer.

Option (3) is the correct option.

Answer:

105 miles / hour for 1 hour

130 miles / hour for 5 hours

Step-by-step explanation:

Part A

Part B

plane Part A: x = 105 *y

Plane Part B: 755 - x = 130*(6 - y)

Put 105*y into the equation for plane B

755 - 105*y = 130*(6- y)                            Remove brackets on the the right.

755 - 105y = 780 - 130y                           Add 130y to both sides

755 - 105y + 130y = 780                          Combine left

755 + 25y = 780                                      Subtract 755 from both sides

25y = 780 - 755                                      

25y = 25                                                  Divide by 25

y = 25/25

y = 1

The plane travelled 1 hour at 105 mile / hour

The plane travelled 5 hour at 130 mile / hour

Check

1 hour for a distance of 1 hr * 105 mph =  105 mile

5 hour for a distance of 5 hr*130 mph  = 650 miles

Total distance =                                          755 miles

Remark

This is a very neat problem. I don't think I've ever seen this variation. It is a little long, but it is well worth your time.

[tex]f'(4) = 43[/tex]

Explanation:

Given: [tex]f(x)=5x^2 + 3x + 3[/tex]

[tex]\displaystyle f'(x)= \lim_{h \to 0} \dfrac{f(x+h) - f(x)}{h}[/tex]

Note that

[tex]f(x+h) = 5(x+h)^2 + 3(x+h) + 3[/tex]

[tex]\:\:\;\:\:\:\:= 5(x^2 + 2hx + h^2) + 3x + 3h +3[/tex]

[tex]\:\:\;\:\:\:\:= 5x^2 + 10hx + 5h^2 + 3x + 3h +3[/tex]

Substituting the above equation into the expression for f'(x), we can then write f'(x) as

[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{10hx + 3h + 5h^2}{h}[/tex]

[tex]\displaystyle\:\:\;\:\:\:\:= \lim_{h \to 0} (10x +3 +5h)[/tex]

[tex]\:\:\;\:\:\:\:= 10x + 3[/tex]

Therefore,

[tex]f'(4) = 10(4) + 3 = 43[/tex]

Answer:

[tex]c < 4[/tex]

Step-by-step explanation:

Move the constant to the right-hand side and change its signs:

[tex]c < 16 - 12[/tex]

Subtract the numbers:

[tex]c < 16 - 12 = c < 4[/tex]

Answer:

5 × (x + 27) ≥ 6 × (x + 26).

Step-by-step explanation:

The solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

For this case, let the number in consideration be 'x', then according to the condition specified, we get:

Also, we get:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 as:

[tex]5(x+27) \geq 6(x+26)[/tex]

Expanding and taking x on one side:

[tex]5x+135 \geq 6x+156\\135-156 \geq x \\\\x \leq -21[/tex]

Thus, the considered statement is true for all the numbers which is smaller or equal to -21. Symbolically, the solution set is: (-∞, -21]

The square bracket shows that the -21 is included in the interval. And the interval  (-∞, -21] is  set of all real numbers smaller or equal to -21.

Thus, the solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]

Learn more about inequalities here:

https://brainly.com/question/27425770

Answer:

the answer will be table -1

Step-by-step explanation:

Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error ErrorError Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error Error