In a group trivia game, a team earns 5 points for a correct answer, and -2 points for a
wrong answer. There are 15 questions in the game. Let a represent the number of
correct answers
Which expression represents the total number of points a team earns for
their correct answers?
A.-2x
B.5x
C.x
D.15

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

Answer: The length of BD is 65 units.

Answer:

Step-by-step explanation:

surface area = 3^2 : 11^2

volume = 3^3 : 11^3

width  = 3: 11

hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal.   But I like the exponential form better.  

Answer:

its D

336 km2

Step-by-step explanation:

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

First, convert R as a percent to r as a decimal

r = R/100

r = 8.4/100

r = 0.084 rate per year,

Then solve the equation for A

[tex] A = P(1 + \frac{r} {n})^{nt} \\\\ A = 10,000.00(1 + \frac{0.084}{12})^{(12)(30)} \\\\ A = 10,000.00(1 + 0.007)^{(360)} \\\\ A = \$ 123,199.63[/tex]

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 8.4% per year compounded 12 times per year over 30 years is $123,199.63.

Answer:

i think the answer would be b

Step-by-step explanation:

sorry if i am wrong

Answer:

$92.86

Step-by-step explanation:

Since it's AT LEAST 1800, the inequality sign would be ≥ 1800

Equation:

500 + 14x ≥ 1800

14x ≥ 1800 - 500

14x ≥ 1300

x ≥ 92.86

Answer:

16 square root 6

Step-by-step explanation:

The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:

[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

The two given numbers are 6 and 8

That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]

Substitute  [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

[tex]GM=\sqrt{6 \times 8}[/tex]

Simplifying further:

[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]

Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

Learn more on geometric mean here: https://brainly.com/question/1311687

Answer:

#4 is not always true, only when it's a square.

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21.  The positive nature of the discriminant tells us that there are two real, unequal roots.  Following the quadratic formula, we get:

       -3 ± √21

x = -----------------

              2

Answer:

3.23

Step-by-step explanation:

Answer:

the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer

Answer:

a) For Khalil's purchase

4x + 3y = 11.67.....Equation 1

For Ronda's purchase

8x + y = 12.89......Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67.....Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89......Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67.....Equation 1

8x + y = 12.89......Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35

Answer:

60

Step-by-step explanation:

just multiply 10 by 6 why is this in highschool math though.

Answer:

1

Step-by-step explanation:

If you have 1 lipstick, then you have 9 eye shadows, at the same time, if you have 3 eye shadows, you have 2 mascaras. Since it's stated from the first part that you have 9 eye shadows, then going by the ratio, you must have 6 mascaras.

Final part says if there are 3 more eye shadows than mascaras, how many lipsticks have you.

This is quite straightforward, because from the relation I've established up ahead, we have 9 eye shadows and 6 mascaras. And 9 is 3 more than 6. Essentially, this means that the number of lipsticks will remain 1

No solution

because delta ( b^2 - 4ac ) is lower than 0(zero) .

Answer:

B

Step-by-step explanation:

The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).

we can see b intersects on (0,1) so that is out answer.

Answer:

864cm squared

Step-by-step explanation:

The base is 16 x 16

The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

Answer: 956.25

Step-by-step explanation:

Answer:

[tex](x-12)^2[/tex] & [tex] 144[/tex]

Step-by-step explanation:

The Equation given to us is ,

[tex]\implies x^2 -24x + \cdots [/tex]

Here we need to find the value of the blank such that it is a perfect square.

This can be in the form of ,

[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]

On looking at equation ,

[tex]\implies x^2 -2(12)x + \cdots [/tex]

For the whole equation to be whole square , the number that should replace the blank is 12² .

[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]

Therefore 144 should be added .

Answer:

1

Step-by-step explanation:

1/2 of 12 students scored a 90 or above in class 2, which is 6

1/4 of 20 students scored a 90 or above in class 2, which is 5

6 - 5 = 1

Answer:

I do not know

Step-by-step explanation:

Answer:

C. 59

Step-by-step explanation:

Hello There!

Remember the angles in a triangle add up to equal 180

So if we want to find a missing angle we subtract the given angles ( in this case 65 and 56) from 180

So missing angle = 180 - 65 - 56

180 - 65 = 115

115 - 56 = 59

So we can conclude that the missing angle has a measure of 59 degrees

Answer:

C: 59

Step-by-step explanation: His explanation is correct, I did it myself.

Answer:

30cm

Step-by-step explanation:

Find L.C.M of 90 and 120

Answer:

d

Step-by-step explanation:

Answer:

1072

Step-by-step explanation: