Which of the following equations have infinitely many solutions?

Answer:

1 is missing value..... .....

Given:

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

To find:

The intersection point of all the medians of the triangle ABC.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]

[tex]Centroid=\left(0,1.333...\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(0,1.3\right)[/tex]

The coordinates of required point are (0,1.3). Therefore, the correct option is C.

Answer:

Last one could be either "Prove" or "CPCTC"

Answer:

Step-by-step explanation:

The answer is give me the answer

Answer: $375.37

Step-by-step explanation:

From the question, we are told that Kelly has $5.38 in her account before receiving her $832.19 paycheck. We are further told that she writes checks for rent and car insurance in the amounts of $359.82 and $72.38 and that she also withdraws $30.

Her current balance will be:

= $5.38 + $832.19 - $359.82 - $72.38 - $30

= $375.37

Her current balance is $375.37

Answer:

9 runners

Step-by-step explanation:

Number of runners who started race = 45

Fraction that dropped off in the first half =. 2/3

Fraction of the remaining that dropped of in the second half = 2/5

Number of runners who dropped off in the first half :

(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners

Runners left = (45 - 30) = 15

Number who dropped off in the second half :

(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners

Number of runners who finished the race :

(15 - 6) = 9 runners

Answer: 3,4,5

Step-by-step explanation:

5² = 3² + 4²

25 = 9 + 16

25 = 25

The set of numbers 3, 4, and 5 describe the side length of a right triangle.

Option C is the correct answer.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Set of numbers:

1, 2, 3

2, 3, 4

3, 4, 5

4, 5, 6

We need to find the set of numbers that describe the side length of a right triangle.

We will apply the Pythagorean theorem to all the sets of numbers.

Using 1,2,3.

1² = 2² + 3²

1 = 4 + 9

1 = 13

2² = 1² + 3²

4 = 1 + 9

4 = 10

3² = 1² + 2²

9 = 1 + 4

9 = 5

This is not true.

Similarly,

Set of numbers: 2,3,4 and 4,5,6 are not true.

Using 3, 4, 5

5² = 3² + 4²

25 = 9 + 16

25 = 25

This is true.

Thus,

The set of numbers 3, 4, and 5 describe the side length of a right triangle.

Option C is the correct answer.

Learn more about the Pythagorean theorem here:

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Answer:

5

Step-by-step explanation:

for the question, let's make a variable

Assume one number is X and we can get a equation like this:

X + 2X+7 = 22

X + 2X = 22 - 7

3X = 15

X = 5

Answer:

a. 73%

b. 73:100

c. 0.73

d. 73/100

Step-by-step explanation:

If you are only talking about the shaded part out of the total number of squares then these are your answers

73 out of 100 is 73%

73:100 is the ratio

73/100 = 0.73 is the decimal

73/100 is the fraction

Answer:

A

Step-by-step explanation:

(✓x)^5

(x^1/2)^5

x^5/2

Answer:

7:5 is the same as 21: 15

Step-by-step explanation:

21/7 = 3 and 3*5=15

i divided 21 by 7 to see how many times it was multiplied to get there, so i could do the same thing to the 5

I hope this helps :)

Answer:the answer is 15

Step-by-step explanation:

I got it right lol

A: 0

B: 10/50

C: 15/50

D: 34/50

Answers:

Nearly all of those answers involve a fraction form and an equivalent decimal form.

===========================================

Work Shown:

Part A

The largest number in the bag is 50, so we cannot select anything larger than that. The probability of getting something larger than 50 is 0% which converts to the decimal form 0

----------------------------

Part B

List out the multiples of 5 to get {5,10,15,20,25,30,35,40,45,50}

Note how 50/5 = 10, which shows there are 10 multiples listed above.

We have 10 items in that set out of 50 items in the set {1,2,3,...,49,50}. The probability of getting a multiple of 5 is 10/50 = 1/5. This converts to the decimal form 0.2

----------------------------

Part C

The prime numbers between 1 and 50 are:

{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}

There are 15 items in that list out of 50 items in the bag, so 15/50 = (5*3)/(5*10) = 3/10 is the answer. Converting to decimal form gets us 3/10 = 0.3

----------------------------

Part D

There are 50 items in the bag and 15 primes. This means there are 50-15 = 35 composite items. Well this is close to the actual count. It turns out that the number "1" is not composite, and it's not prime either. So we really have 35-1 = 34 composite values.

We get 34/50 = (17*2)/(25*2) = 17/25 as the answer. That converts to 17/25 = 0.68

Answer:

4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

y for x

4 for 12

1 for ?

Cross multiply

4? = 12 x 1

4? = 12

Divide both sides by 4

? = 3

When y = 1, x = 3.

Hope that helped!

9514 1404 393

Answer:

 $6.56

Step-by-step explanation:

The value is found by multiplying:

  32% of $20.51 = 0.32 × $20.51 = $6.5632 ≈ $6.56

Answer:

60 degress

Step-by-step explanation:

How I got it:

1. Find out the angel of each side. 360 divded by 6 = 60

2. Get the answer of 60

Advice:

-Make an polygon using paper and rotate it. (Use protractor and ruler if your gonna do it)

Answer:

Step-by-step explanation:

Mary spends 8*6=48 dollars

Pete spends 9*12=108

Mary got a better deal per cupcake

Answer:

They spent the same amount per cupcake ($1.33)

Step-by-step explanation:

To solve this, we need to find the unit rate of cost per cupcake. To do that, we divide 8 by 6 and divide 12 by 9. When we do that, we get 1.33 for both. That means they spent the same amount per cupcake ($1.33).

Answer:

C would be the correct answer. :D

Answer:

49

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

m(abc)= m(abd) +m(dbc) = 65+60 =135

Answer:

15% of 58

15÷100×58

may this help u

Answer: $ 8.70

Step-by-step explanation: 0.15 x 58 = 8.7

Answer:

s = 12cm

Step-by-step explanation:

Since these are similar triangles, in order to find a missing side, you have to find the constant of proportionality

14/8 = 21/s          >> cross multiply

14s = 168             >> divide both sides by 14 to get s alone

s = 12

another way to find the answer......

Step-by-step explanation:

You still have to find the constant of proportionality, it's just going to be a bit faster this way

14/8 = 1.75

21/1.75 = 12

s = 12

Answer:B.9/12

Step-by-step explanation:

Answer:

2 1/4 cups

Step-by-step explanation:

3/4 is for one cake, if Carlos is making 3 times that amount of cakes, Carlos needs three times the amount of sugar. So, our equation is:

3/4 x 3 = 9/4

9/4 = 2 1/4 or 2.25

So, Carlos needs 2 1/4 cups of sugar for 3 cakes

Answer:

last one

Step-by-step explanation:

the last one because it cannot be expressed as a fraction.

Answer: 3

Step-by-step explanation:

*Slope formula*

Y2 - Y1 / X2 - X1

-1 - (5) / -2 - (0) = -6/-2 = 3

Answer:

35:42=20:24

Hope this helps!

Answer:

-3/2 which is a

Step-by-step explanation: finding the exact value

The value (-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex])  = -3/2,

Hence, Option A is correct.

The given expression is,

(-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex])

Since we know,

Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.

Here we have to find the value of the given expression is,

We can write it as,

⇒  (-15/8 + 1.5) ÷ (15 - 59/4)

⇒  (-15 + 12)/8  ÷ (60-59)/4

⇒  -3/8 ÷ 1/4

⇒  -3/8 x 4/1

⇒  -3/2

Hence,

(-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex])  = -3/2

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