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3 years ago

The sum of a two digit number is 18. If the digits are reversed, the number remains the same. Find the number.

Mathematics

1 answer:

Yanka [14]3 years ago

4 0

Answer: 99

Explanation: 9+9 = 18
and when you switch the order of the digits, it is still 99.

Hope that helps ;)

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Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moth

AveGali [126]

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

$Width = 5ft$

$Length = 4ft$

$Height = 8ft$

The second has the following dimension:

$Width = 3ft$ ---- see the last label at the top

$Length = 2ft$ --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

$Height = 8ft$

So: The volume of the closet is:

$Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2$

$Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft$

$Volume = 160ft^3 + 48ft^3$

$Volume = 208ft^3$

The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)

$Boxes = \frac{208ft^3}{32ft^3}$

$Boxes= \frac{208}{32}$

$Boxes = 6.5$

7 0

3 years ago

HELP ME OUT PLEASE!!!!

vodka [1.7K]

Answer:

(3,-4)

Step-by-step explanation:

There is a graphing calculator called desmos that can help you answer questions like this, but, if you don't want to use that, you can just make a graph and imagine the transformation. Remember, when you reflect something over an axis, it is like you are folding the graph along the axis and your new point will be on the other side.

5 0

2 years ago

Read 2 more answers

What is the m∠N ? Can someone help me :)

Sauron [17]

Answer:

Step-by-step explanation:

Use the sine law:

$\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}$

We have:

$MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924$

Substitute:

$\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}$ <em>cross multiply</em>

$6\sin(\angle N)=(18)(0.2924)$

$6\sin(\angle N)=5.2632$ <em>divide both sides by 6</em>

$\sin(\angle N)=0.8772\to m\angle N\approx61^o$

4 0

3 years ago

Construct the 95% confidence interval for the population mean using the appropriate distributions. a. A random sample of 50 peop

SSSSS [86.1K]

Answer: 95% confidence interval would be (26.01,29.39).

Step-by-step explanation:

Since we have given that

n = 50

Mean = 27.7

Standard deviation = 6.12

We need to construct 95% confidence interval for the population.

so, z = 1.96

So, it becomes,

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=27.7\pm 1.96\times \dfrac{6.12}{\sqrt{50}}\\\\=27.7 \pm 1.69\\\\=(27.7-1.69,27.7+1.69)\\\\=(26.01,29.39)$

Hence, 95% confidence interval would be (26.01,29.39).

4 0

4 years ago

At a supermarket, a 6-ounce bottle of

White raven [17]

Answer:

The 14 oz bottle has the lowest cost per ounce.

Step-by-step explanation:

$3.36/14

7 0

3 years ago