Find the value of x in each of the following
a) x + 3 = 8
b) X-5 = 7

Answer:

100

Step-by-step explanation:

Since the inscribed angle of a circle is always half of its corresponding, the measure of this angle is 200/2=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Answer:

Median = 3.5

Step-by-step explanation:

Median is the middlemost number.

Here, there are two middlemost numbers, 5 and 2

So, we'll take the mean of them to find out the median

Median = 5+2/2

Median = 7/2

Median = 3.5

Answer:

$6.89

Step-by-step explanation:

To find unit price divide the dollar by the amount. The dollar is 20.67. The amount of socks are 3. The equation would then be 20.67/3. Then solve and the answer would be $6.89.

Answer:

1. A letter, A, added to a letter, B, equals ten.

2. A letter, x, which is multiplied by 4, then has a number, y, subtracted from it to equal a letter, a.

If you try write these out, I'm sure you'd get the algebraic expression given.

Answer:

$0.40 per oz

Step-by-step explanation:

given that the cereal is $3.60 for a 9 oz box

i.e

9 oz ----> costs $3.60

1 oz ----> costs $3.60 ÷ 9 = $0.40

hence the unit rate is $0.40 per oz

Answer:

0.40 per ounce

Step-by-step explanation:

The question asks is to find the unit rate, or price per ounce.

To find this, we need to divide the price by the number of ounces.

price/ ounces

It costs $3.60 for 9 ounces of cereal.

$3.60/9 ounces

Divide $3.60 by 9 (3.60/9=0.4)

$0.4/ounce

It costs $0.40 per ounce of cereal.

Answer:

Step-by-step explanation:

To find 5e. El change, find the difference between week 1 and 1.

56.92-(-16.54) = 56.92+16.54 = -73.46.

Note: this is negative, because we are calculating the difference.

Hope this helps

Answer:

Jason likely misplaced the decimal, because 3 times 1 = 3, and if the decimal was between the 2 and the 5, the number would be near 3.

Step-by-step explanation:

Jason applied 2 and 82.242 miles

Answer:

b

Step-by-step explanation:

Answer:

Reebs have 1 right angle

Step-by-step explanation:

Look at all the reebs. They all have 1 right angle!

Answer:

C

Step-by-step explanation:

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 30, p = 0.626[/tex]

So

[tex]\mu = E(X) = np = 30*0.626 = 18.78[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65[/tex]

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is [tex]P(X \leq 16 + 0.5) = P(X \leq 16.5)[/tex], which is the pvalue of Z when X = 16.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16.5 - 18.78}{2.65}[/tex]

[tex]Z = -0.86[/tex]

[tex]Z = -0.86[/tex] has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

Answer:

A. 52% and B. 104/200

Step-by-step explanation:

To find the answer, we first have to find how many pet owners own cats. As percentages are x/100, when we have x/200 we divide the numerator and denominator by 2 to bring the fraction to 48/100. (96/200 divided by 2 equals 48/100). Now that we have the percentage of pet owners that own cats (48%), we need to find how many do not own cats. To do so, we just subtract 100-48 to get 52. Then, we do the same to the fraction of 96/200. (200-96 = 104). This brings our answers to A. 52% and B. 104/200

The percentage of owners that do not own cat is 52%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given here, 96 out of 200 pet owners own cats then the owners who do not own cat are 104

Therefore the number of non cat owners in percentage terms is

= (104/200) ×100

= 52.5%

Hence, the answer is 52.5%

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Answer:

[tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]

Step-by-step explanation:

Given

[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]

Required

Estimate

To do this; we start by converting both fractions to improper fraction

[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]

[tex]\frac{62}{9} (1\frac{9}{10})[/tex]

[tex]\frac{62}{9} (\frac{19}{10})[/tex]

Open Bracket

[tex]\frac{62}{9} * \frac{19}{10}[/tex]

Combine to form a single fraction

[tex]\frac{62 * 19}{9 * 10}[/tex]

Multiply numerators and denominators

[tex]\frac{1178}{90}[/tex]

Convert fraction to decimal

[tex]13.0888888889[/tex]

Approximate to nearest whole number

[tex]13[/tex]

Hence, [tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]

Answer:

First box: 14

Second box: greater than

Third box: both factors were rounded up.

Step-by-step explanation:

I JUST DID IT AND GOT IT RIGHT!

HOPE IT HELPS!

Answer:

5

Step-by-step explanation:

The product of 6 and 7 is 42.

Let x be the number of times needed to add 5 to 17 to reach 42.

17 + 5x = 42

5x = 42 - 17

5x = 25

x = 5

Answer: I’m pretty sure it’s 5

Step-by-step explanation:

Answer:

x = 59/7, y = -15/7

Step-by-step explanation:

4x= 2y + 38;

2 - 3y=x

We can substitute for x  in the first equation since the second equation is solved for x

4(2-3y) = 2y+38

Distribute

8 - 12y = 2y+38

Add 12y to each side

8-12y+12y = 2y+12y+38

8 = 14y+38

Subtract 38 from each side

-30 = 14y

Divide by 14

-30/14 = y

-15/7 = y

Now solve for x

2 - 3y = x

2 - 3*-15/7 = x

2 +45/7 = x

14/7 + 45/7 = x

59/7 =x

Answer:

this question is roung

9514 1404 393

Answer:

  y -3 = -2(x +4)

Step-by-step explanation:

The slope of the given line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The perpendicular line will have slope -1/(1/2) = -2.

__

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For point (-4, 3) and slope -2, the equation is ...

  y -3 = -2(x +4)

Answer:

Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Step-by-step explanation:

Given that there are 4 lines that are extended from a point K.

Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]

Angle between KN and KM is [tex]61^\circ[/tex] i.e.  [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].

Angle between KM and KL is [tex]61^\circ[/tex] i.e.  [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]

Please refer to the attached image for the conditions and dimensions of angles given in the question statement.

Now, let us have a look at the options given:

1. Point K is a midpoint of Line segment JL

JL is not a straight line first of all, and secondly there is no condition given about the line segments.

So, it is incorrect.

2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]

[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and

[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]

So, it is also incorrect.

3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.

Answer:

(22/7)/6=0.523809

Step-by-step explanation:

V=4/3πr^3

V=4/3π(1/2)^3=π/6

or (22/7)/6=0.523809

Answer:

B. points C, F and G

Step-by-step explanation:

B. Points G C F

Answer:

Graph C

Step-by-step explanation:

The slope is 2 and to find the numbers in the equation are actually the opposite of what they appear, making the point (-2,1).

Answer:

B.

Step-by-step explanation:

A =  C = 40°

40+40+ 4x = 180

4x = 100

x = 25°

Answer:

A.

Step-by-step explanation:

BC ≅ EF

BC needs to be congruent to EF to show that ΔABC ≅ ΔDEF by SAS(Side -Angle-Side) Postulate.

Answer: she is 215m from her starting point

Step-by-step explanation:

The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.

Angle B = 28 + 90 = 118°

To determine AC, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes

AC² = AB² + BC² - 2(AB × BC)CosAC

AC² = 60² + 180² - 2(60 × 180)Cos118

AC² = 3600 + 32400 - 21600Cos118

AC² = 36000 - 21600(-0.46947156)

AC² = 36000 + 10140.59

AC² = 46140.59

AC = √46140.59

AC = 215 m

Answer:

3600.

Step-by-step explanation:

8 =   2*2*2

12=   2*3

18=   2*3*3

30 =  2*3*5

The lowest common multiple of the these is

2 * 2 * 2 * 3*3* 5 = 360.

So the smallest square number = 2*2*2*2*3*3*5*5

(We make all the sets of factors a square).

So it's 16 * 9 * 25 = 3600.

Answer:

3600

Step-by-step explanation:

Answer:

Converges

Sum = 20.8333

Step-by-step explanation:

A geometric series has a general formula of:

[tex]\sum ar^n[/tex]

Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.

In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:

[tex]\sum 25*(-0.2)^n[/tex]

Since 0.2 < 1.0, the series converges.

The sum of the series is given by:

[tex]S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333[/tex]

The sum is 20.8333.

The geometric series converges and the sum is equal to 20.83.

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms .

A geometric series has a general formula of:

∑arⁿ

Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.

In this particular case, the initial term is a=25 and each term is divided by -5 or multiplied by (-0.2)

Therefore r = -0.2 and as it is <1 therefore the series converges

The sum of a convergent series is

S = a/(1-r)

S = 25/(1-(-0.2))

S= 25/1.2

S = 20.83

Therefore the sum of the series is 20.83

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Answer:

option D

Step-by-step explanation:

x/-3≤3

multiply by (-1) on both sides

x/3≥-3

x>=-9

Answer:

Letter D

Step-by-step explanation:

Answer:

The correct option is SSS (Side-Side-Side) Theorem

Step-by-step explanation:

The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.

Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN

We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN

Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN

Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM

SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question

Answer:

D. SSS

Step-by-step explanation:

I hope this helps.

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Given

[tex]2y-x=-6[/tex]

Required

Determine the x intercept

To get the value of x intercept; we simply substitute 0 for y;

i.e. y = 0

[tex]2y-x=-6[/tex] becomes

[tex]2(0)-x=-6[/tex]

[tex]0-x=-6[/tex]

[tex]-x=-6[/tex]

Multiply both sides by -1

[tex]-1 * -x=-6 * -1[/tex]

[tex]x=-6 * -1[/tex]

[tex]x = 6[/tex]

Hence, the x intercept is 6

Answer:

D

Step-by-step explanation:

subsitute each of the x and y values for each of the equations and if they both equal each other It is correct.

Answer:

x = 2, y= -1

Step-by-step explanation:

12x - y = 25

9x + y = 17

add both equations to eliminate y

21x = 42

divide by 21

x = 42/21

x = 2

sub x in equation i to find y

12(2) - y = 25

24 - y = 25

-y = 1

therefore y = -1, x = 2