What is the value of x to the nearest tenth?
A) 9.2
B) 7.2
C) 4.8
D) 12.0

Answer:

x = 25°

Step-by-step explanation:

3x + 2x + x + 30° = 180°

6x + 30° = 180°

6x = 150°

x =25°

=> 3x = 25 * 3 = 75°

=> 2x = 25 * 2 = 50°

=> x + 30° = 25° + 30° = 55°

Answer:

rs. 81

Step-by-step explanation:

given,

mp. = 1620

sp. = 1539

now,

discount = mp - s.p = 1620 - 1539 = 81

Answer:

Sila put a wrong number in her calculator when multiplying the numerators.

Step-by-step explanation:

StartFraction 12 kilometers Over 1 EndFraction times StartFraction 0.62 miles Over 1 kilometer EndFraction times StartFraction 5280 feet Over 1 mile EndFraction = 392,832 feet

Correct calculation:

12 km/ 1 * 0.6miles / 1km * 5280 feet / 1 mile

= (12km * 0.62 miles * 5280 feet) / (1 * 1 km * 1 mile)

= 39,283.2 feet

Sila's calculation:

12 km/ 1 * 0.6miles / 1km * 5280 feet / 1 mile

= 392,832 feet

Answer:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

[tex]\frac{()}{(x-4)(x-5)}[/tex]

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled

[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Answer:

The answer is the first one

Step-by-step explanation:

Answer:

{-10. -9, -8}

Step-by-step explanation:

x ≤ -8 would be all values of x less than or equal to -8

x = -8, -9, -10

Given:

The sum of two numbers is 24 and their difference is one sixth of the sum.

To find:

The smaller number between the two numbers.

Solution:

Let x and y be the two numbers where x>y.

The sum of two numbers is 24.

[tex]x+y=24[/tex]           ...(i)

Their difference is one sixth of the sum.

[tex]x-y=\dfrac{1}{6}\times 24[/tex]

[tex]x-y=4[/tex]              ...(ii)

Adding (i) and (ii), we get

[tex]2x=28[/tex]

[tex]x=\dfrac{28}{2}[/tex]

[tex]x=14[/tex]

Putting [tex]x=14[/tex] in (i), we get

[tex]14+y=24[/tex]

[tex]y=24-14[/tex]

[tex]y=10[/tex]

The two numbers are 14 and 10.

Therefore, the smaller number between the two numbers is 10.

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin(x - y) = sinxcosy - cosxsiny , then

sin(180 - θ)

= sin180cosθ - cos180sinθ

= (0) cosθ - (- 1)sinθ

= 0 + sinθ

= sinθ

Answer:

5% = 1/20

15% = 3/20

6.5% = 0.065

25% = 0.25

7% = 0.07

Step-by-step explanation:

I hope this helps! Just ask me if you have any questions.

Have a nice dayy! :)

Answer:

.05  25%  .15  7% .065  100% 2000% .25

Step-by-step explanation:

Percentages to decimals :

example  

5% = .05

First remove the % sign: 5

Where is the decimal? Here : 5.00

Now move the decimal to the left two places. Fill the gaps with zeros : .05

Another way to do it is by divide the number by 100. Use a calculator if necessary.

Example 2: 6.5%

Move decimal two places to left: .065

Example 3: .56%

Move decimal to places to the left:  .0056

Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.

Example: .25 becomes 25%

                .07 becomes 07% or just 7%

Answer: 60°

Step-by-step explanation:

If two angles are supplementary, that means they add up to 180°.

Therefore, if one angle is 120°, the other missing angle can be calculated by:

180° - 120° = 60°

Answer:

10 friends can go to the amusement park

Step-by-step explanation:

214.25 = 6.75 + 20.75x

207.50 = 20.75x

x = 10 friends can go

Answer:

20 children

Step-by-step explanation:

We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.

Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.

Answer:

20 childrenyjvvvvggguggggyg

Answer:

Answer:

Step-by-step explanation:

I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:

[tex]71=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get

[tex].71=e^{-.0001t}[/tex] and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:

ln(.71) = -.0001t and we divide to solve for t:

[tex]\frac{ln(.71)}{-.0001}=t[/tex] and

[tex]\frac{-.3424903089}{-.0001}=t[/tex] so

t = 3424.9 years, or rounded, 3425 years.

Answer:

90

Step-by-step explanation:

From the given drawing, we have;

ΔRST is circumscribed about circle A

The center of the circle A = The point A

The line RT = A tangent to the circle A

The radius to the circle A = The line AP

According to circle theory, a line which is tangent to a circle is perpendicular to the radius of the circle drawn from the point of tangency

Where two lines are perpendicular to each other, then the angle formed between them = 90°

The angle formed between a tangent and the radius of the circle = m∠APT

Therefore;

m∠APT = 90°

Answer:

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

The constant of direction variation givens a proportion that is maintained by both x and y values for all points of a line that it passes through.

Usually represented with the variable [tex]k[/tex], it is given by:

[tex]\frac{y}{x}=k[/tex] for coordinates (x, y).

This relationship can be written as [tex]y=kx[/tex] which is also the layout for a proportional relationship.

Since coordinates are written (x, y), for point (5, 8), substitute [tex]x=5, y=8[/tex] to get the constant of variation:

[tex]8=5k,\\k=\boxed{\frac{8}{5}}[/tex]

Answer:

8/5

Step-by-step explanation:

Given that y varies directly with x , therefore ,

[tex]\implies y \propto x[/tex]

Let k be the constant . Therefore ,

[tex]\implies y = k x[/tex]

When the point is (5,8) ,

[tex]\implies 8 = k * 5 \\\\\implies \underline{\underline{\boxed{ k =\dfrac{8}{5}}}}[/tex]

Hence the constant of variation is 8/5.

Answer:B

Step-by-step explanation:because im smart

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

correct on edmentum or plato

Answer:

The three Rational between 3 and 4

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Step-by-step explanation:

Answer:

AB = DC So ∠A and ∠D are bigger then 90%

Answer:

E2020

Step-by-step explanation:

Answer:

2.02

Step-by-step explanation:

Hello, I took the quiz. The correct answer is 2.02

Answer:

b

Step-by-step explanation:

Answer:

Cost of each pencil = $12.5

Cost of each eraser = $7.5

Step-by-step explanation:

Given:

Number of eraser bought = 3

Number of pencil bought = 2

Total amount paid = $47.50

Cost of one pencil and one eraser = $20

Find:

Each cost

Computation:

Let;

Cost of each eraser = e

Cost of each pencil = p

So,

e + p = 20

e = 20 - p .................................... eq1

3e + 2p = 47.50

3(20 - p) + 2p = 47.50

60 - 3p + 2p = 47.50

-p = -12.5

Cost of each pencil = $12.5

e = 20 - p

e = 20 - 12.5

e = 7.5

Cost of each eraser = $7.5

Answer:

Step-by-step explanation:

The total number of students,

→ 100 students

No. of students were absent & failed,

→ 7 + 10

→ 17 students

No. of students totally passed,

→ 100 - 17

→ 83 students

No. of students passed in Science,

→ 80 students

No. of students passed in Mathematics,

→ 71 students

Then add both science and math,

→ 80 + 71

→ 151 students

No. of students passed in both subjects,

→ 151 - 83

→ 68 students

Therefore, the number of students who passed in both subjects are 68 students.

Answer:

I think its 43%

Explanation

math

The probability of Pier choosing a boy is 0.43 or 43%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The total number of students in the class is:

13 boys + 17 girls

= 30 students

The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:

Probability of choosing a boy.

= number of boys / total number of students

Probability of choosing a boy.

= 13 / 30

Probability of choosing a boy.

= 0.4333 or approximately 0.43

Therefore,

The probability of Pier choosing a boy is 0.43 or 43%.

Learn more about probability here:

https://brainly.com/question/14099682

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Step-by-step explanation:

8.4 is the ans

4x+8y=40

4x + 6.4=40

4x=40-6.4

4x=33.6

x=33.6÷4

x=8.4

Answer:

4x+8y=40

4x+(8+0.8)=40

4x+6.4=40

4x+6.4-6.4 =40-6.4

4x=33.6

4x÷4=33.6÷4

X=8.4

Answer:

kids at playground

children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best

Hello,

Answer B : -0.8=-0.8

[tex]n=-2\\1.4*n+2=2*n+3.2\\\\so:\\1.4*(-2)+2=?\ 2*(-2)+3.2\\\\-2.8+2=\ ? -4+3.2\\\\-0.8=-0.8\\[/tex]

The last line of the justification is –0.8 = –0.8

Given the following equation

1.4n + 2 = 2n + 3.2.

Collect the like terms

1.4n - 2n = 3.2 - 2

Substitute n = -2 into the expression

1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = -0.8

Hence the last line of the justification is –0.8 = –0.8

Learn more on equation here: https://brainly.com/question/475711

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Answer:

[tex]\sqrt{x} +3 =13[/tex]

Step-by-step explanation:

A radical equation is any equation in which a variable is under a root. This is the only equation in which x is under the square root, so this is the radical equation.