What is the absolute value of -|-7 3/5|

Answer: Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. Positive integers can be written with or without a sign.

Step-by-step explanation:

Answer:

15.

[tex]\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.[/tex]

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

[tex]x + y = 50.[/tex]

There are  [tex]0.2x[/tex] ml of salt in x ml of 20% saline and [tex]0.1y[/tex] ml of salt in 10% saline. There are [tex]0.12\cdot 50=6[/tex] ml of salt in 50 ml of 12% saline. Thus,

[tex]0.2x+0.1y=6[/tex]

15. We get the system of two equations:

[tex]\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.[/tex]

16. Solve this system. From the first equation:

[tex]x=50-y[/tex]

Substitute it into the second equation:

[tex]0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10[/tex]

The length of segment AD is found by subtracting the length of CD from that of AC, which gives AD = 18 - 5 = 13.

In this problem, you are given the lengths of segments AC and CD. The question is asking you to find the length of segment AD. This looks like a problem of segment addition in geometry. Segment addition postulate states that if a point B lies on a line segment AC, then the whole length of the segment AC equals the addition of AB + BC. In this case, however, we are given that the whole length AC equals 18, and a part of it, CD equals 5. To find the length of the unknown segment AD, we now need to subtract CD from AC. Therefore, using the segment addition postulate, we can solve this problem as follows:

AD = AC - CD

AD = 18 - 5

AD = 13

So, the length of segment AD equals 13.

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Answer:

-5≥x≤-1

Step-by-step explanation:

comment if you would like an explanation for this.

Answer:42.46444

Step-by-step explanation: 4.57×4.04x2.3

I think 42.46444 is the answer

The percentage uncertainty for each measurement, sum them, and apply this to the area, resulting in an uncertainty of approximately 0.0350 m².

To calculate the area of a rectangular room, you multiply the length by the width. In this case, we have been provided with the measurements for the length (3.955 "+/-" 0.005 m) and the width (3.050 "+/-" 0.005 m). Multiplying these measurements gives us the area of the room, albeit with some uncertainty due to measurement errors.

First, calculate the area using nominal values:

Area = Length x Width = 3.955 m x 3.050 m = 12.07275 m²

To compute the uncertainty in the area, apply the rule for the multiplication of quantities with uncertainties:

The percentage uncertainty for both the length and the width is:

Length: 0.005 / 3.955 = 0.001264 (about 0.1264%)

Width: 0.005 / 3.050 = 0.001639 (about 0.1639%)

Add the percentage uncertainties:

Total percentage uncertainty = 0.1264% + 0.1639% = 0.2903%

Apply this to the area:

Uncertainty in area = 0.2903% of 12.07275 m² ≈ 0.0350 m²

Therefore, the area of the room with its uncertainty is:

12.07275 m² "+/-" 0.0350 m² (approximately, we could round the nominal area to 12.073 m² and the uncertainty to 0.035 m² due to significant figures)

Answer:

12x +14

1.) divide both sides but 12 to get the variable alone

12x becomes just the variable x

14 is now 1.16 with the 6 having a line above it showing its repeating.

x = 1.16 repeated

Answer:

The measure of angle AOB is 36°

Step-by-step explanation:

- Point B is in the interior of ∠AOC

- That means angle AOB is a part of angle AOC

- Measure of angle AOC is 108°

- Measure of angle AOC is 3 times measure of angle AOB

- We need to find measure of angle AOB

* Lets solve the problem

∵ m∠ AOC = 3 m∠ AOB

∵ m∠ AOC = 108°

- Substitute m ∠AOC in the equation above

∴ 108 = 3 m∠ AOB

- Divided both sides by 3

∴ 36° = m∠ AOB

The measure of angle AOB is 36°

Answer: The measure of ∠AOB = 36°.

Step-by-step explanation:

Since we have given that

m∠AOC = 108°

and we need to find the measure of ∠AOB.

As we know that

[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]

Hence, the measure of ∠AOB = 36°.

Answer:

b) 3

Step-by-step explanation:

4.5+1.5x=18-3x

1) Subtract 4.5 from both sides:

1.5x=13.5-3x

2) Add 3x to both sides:

4.5x=13.5

3) Divide both sides by 4.5:

x=3

so she started on 9 then she went down 8 so 9 - 8 = 1. then she went up 11 floors.so 1 + 11= 12. that's your answer. 12

The required difference between polynomial 2x^2+7x+6-(3x^2-x) is,
-x^2+8x+6.

To simplify 2x^2+7x+6-(3x^2-x)

Polynomial is defined as the sum of more than one variable in terms of their power.

Here,
[tex]=2x^2+7x+6-(3x^2-x)\\=2x^2-3x^2+7x+x+6\\=-x^2+8x+6[/tex]

Thus, the required difference between polynomial 2x^2+7x+6-(3x^2-x) is, -x^2+8x+6.

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Answer:

D. $674.68

Step-by-step explanation:

We will use the well known equation for compound interest

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where

Plugging in what we know from the question:

[tex]A = 500(1+\frac{0.03}{12})^{12 \times 10}\\A = 500(1.34935355)\\A = 674.68[/tex]

So the answer is D.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

We can round off the values for estimation.

29,354 can be rounded off to 30,000, which is

[tex]3 \times 1 {0}^{4} [/tex]

Similarly, 6,156,782,221 can be rounded off to 6,000,000,000 which is

[tex]6 \times 1 {0}^{9} [/tex]

Now we divide these two terms.

[tex](6 \times 1 {0}^{9} ) \div (3 \times 1 {0}^{4} )[/tex]

[tex]6 \div 3 = 2[/tex]

so it cannot be options B or D.

[tex]1 {0}^{9} \div 1 {0}^{4} = 1 {0}^{5} [/tex]

Hence, by estimation, it is

[tex]2 \times 1 {0}^{5} [/tex]

times more.

Answer:

from 0 to 12 hours, that is [tex]0\leq x\leq 12[/tex]

Step-by-step explanation:

Notice that the x represents the number of phone hours used, therefore it has to be a number larger or equal zero, but NOT a negative number.

So on one end we have that the number of phone hours used (x) must be larger or equal zero: [tex]x\geq 0[/tex]

On the other hand, when the battery goes to zero, there are no more phone hours to use. We can find what is that other limit by making the battery percent (y variable) equal to zero, and solve the equation for x, thus giving us the upper limit of usable phone hours:

[tex]y=0=100-\frac{25}{3} x\\\frac{25}{3} x=100\\25 x = 100*3 = 300\\x = \frac{300}{25} = 12[/tex]

Therefore, the upper limit for the number of usable phone hours is 12 hours.

Then we write:

[tex]0\leq x\leq 12[/tex] hours

Answer:

A trinomial is a mathematic expression which includes 3 terms. An example would be 5 + 2 - 6. Hope this helps!

Answer:

an integer is any whole number

if it is 5 below sea level then it is -5

Step-by-step explanation:

think of sea level like 0

Answer:

Same gets 32 sweets.

Step-by-step explanation:

We have by proportion  4/5 = x/40    where x is the number of sweets that Sam gets.

5x = 4*40

5x = 160

x = 160/5 = 32 sweets.

Answer:

A. 48.7cm

Reason:

The way to find circumference is Pi times the diameter so simply do this:

[tex]15.5 \times \pi = 48.694686[/tex]

round it and you'll get to 48.7cm

Hope it helps :)

Sorry if not :(

Answer: A. 48.7 cm

Step-by-step explanation:

The circumference of circle is given by :_

[tex]\text{Circumfernce}=\pi d[/tex] , where d= diameter of the circle .

In the given [picture , we are given that the diameter of the circle = 15.5 cm

Then, the circumference of the circle will be :-

[tex]\text{Circumfernce}=\pi (15.5)\ cm[/tex]

Substitute [tex]\pi =3.14[/tex] , we get

[tex]\text{Circumfernce}=(3.14) (15.5)\ cm[/tex]

[tex]\text{Circumfernce}=48.67\approx48.7\ cm[/tex]

Hence, the approximate circumference of the circle = 48.7 cm

Thus , the correct answer is 48.7 cm  .

Answer:725000

Step-by-step explanation:in thousands you have 5,390. Sound you’re rounding down from the hundredth position of 390. 390 is below 500 so go down a thousand.

Answer:20

Step-by-step explanation:      hard to explain

Answer:

16

Step-by-step explanation:

well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?

we can simply put both fractions with the same denominator, by multiplying one by the other's denominator, so let's proceed,

[tex]\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}[/tex]

Answer:

d = C/R.

Step-by-step explanation:

You Divide both sides by R:

C = Rd

C / R = Rd / R

C/R = d.

Answer:

Step-by-step explanation:

= 5.43 × 101

(scientific notation)

= 5.43e1

(scientific e notation)

= 54.3 × 100

(engineering notation)

(one)

= 54.3

(real number

Answer:

2n + 4 = 8

Step by Step explanation:

"twice a number" means to multiply 2 by a number

"plus 4" is telling you to add 4 to 2n

"is 8" means equals 8

so, that means 2n + 4 = 8

I hope i helped :)

Answer:

m= -243

Step-by-step explanation:

1. inverse operations so division into multiplication: 9 x (-27)=

remember negative times positive is negative

therefore u get -243

Answer:

-1.75   I apologize if that is not right but i am 99% sure

Step-by-step explanation:

When you add like terms on the right side you end up with 2x, then all you di is divide both sides by 2 and you end up with -1.75

Answer:

Symmetry

Step-by-step explanation:

Because the two sides are equally the same. Basically identical.

Answer:

Step-by-step explanation:

h(t) = 2t 2 – 11t – 10 is the answer

The value of h(t) is h(t) = 2t^2 – 11t – 10.

To add or subtract functions, just add or subtract the values at each point where it makes sense.

How to find h(t) = f(t) – g(t)?

Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:

Given : Dam A  f(t) = 5t^2 – 7t – 1

Dam B : g(t) = 3t ^2 + 4t + 9.

Then f(t) – g(t) = (5t^2-7t-1) -(3t^2+4t+9)

=> 2t^2 – 11t – 10.

Thus, h(t) = 2t^2 – 11t – 10.

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