in a certain 9th grade class the no. of girls is 83 less than no.of boys the total no. of student is 259. write an expression to represent the relationship between this information.

Answers

Answer 1

Answer: 259-83=b b is the number of boys b=176

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What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?n = −2 n = 4 n = fraction 1 over 2 n = fraction 2 over 3

Evaluate 4x when x=2

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Wouldnt it just be 8 cuz 4*2

8 just cause it really is

Katy wants to sell her car, which she bought six years ago for $35,000. Since then, the value of the car has depreciated and it is now estimated to sell for $5,000. Looking at the graph, what type of correlation do you see between the value of the car and the age of the car

Answers

A negative correlation: when the number of years increase the value of the car decrease.

Answer:

Step-by-step explanation:

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus= $(d)/(2)=(12)/(2)=6 in$

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: $(Hypotenuse)^2=(base)^2+(perpendicular\;side)^2$

Using pythagorous theorem

$OB^2=(6)^2+(8)^2=100$

$OB=√(100)=10 in$

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

In triangle ABC, the perpendicular bisector of side AB intersects the extension of side AC at point D. If ∠CBD = 16° and ∠ACB = 118°, find the measure of ∠ABC. A. 16 degrees B. 44 degrees C. 62 degrees D. 74 degrees

Answers

Answer:A

Step-by-step explanation:

To find the measure of angle ABC in triangle ABC, we can use the properties of perpendicular bisectors.

Since the perpendicular bisector of side AB intersects the extension of side AC at point D, we know that AD = DB. Therefore, triangle ABD is an isosceles triangle.

In an isosceles triangle, the angles opposite the equal sides are also equal. So, we have:

∠ABD = ∠ADB

Since ∠CBD = 16° and ∠ACB = 118°, we can find ∠ADB as follows:

∠ADB = 180° - ∠CBD - ∠ACB

= 180° - 16° - 118°

= 46°

Since ∠ABD = ∠ADB, we have:

∠ABD = 46°

Now, we can find ∠ABC:

∠ABC = 180° - ∠ABD - ∠ACB

= 180° - 46° - 118°

= 16°

Therefore, the measure of ∠ABC is 16 degrees. So, the correct answer is A. 16 degrees.

Daniel collected 120 sports cards. Fifty-five of the cards are baseball cards . About what percent of the cards are baseball cards? Round to the nearest percent

Answers

To find the percentage (or probability) of something, we have to take the selected amount over the total number.

Therefore, our fraction or percentage is 55/120, which when divided equals 0.4583.

Rounded to the nearest percentage, this would be approximately 46%.

To find the percentage, divide 55/120, then move the decimal 2 places to the right
.458333
45.83%

OK I need help the answer is c but I didn't understand the teacher explanation pls help me

Answers

9 - 6 + 4 - 8/3 ..,
geometric series a(n) = a1r^(n-1)

r = a(n+1)/a(n)
-6/9 = -2/3
4/-6 = -2/3
-8/3/4 = -2/3
so r = -2/3 and a1 = 9

Sn = a1(1-r^n)/(1-r) = 9(1-(-2/3)^n)/(1-(-2/3))
n is infinite Sn = 9/(5/3) = 27/5

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