Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overall class average of 90%?

Answers

Answer 1

Answer:

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

[tex]\frac{(92+86+83+90+91+x)}{6}=90[/tex]

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

[tex]92+86+83+90+91+x=90 \times 6[/tex]

Step 2) Simplify equation:

[tex]442+x=540[/tex]

Step 3) Subtract 442:

[tex]x=540-442=98[/tex]

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.

Related Questions

Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) - √7

Answers

Answer:

[tex]A \approx 1.488[/tex]

Step-by-step explanation:

Por definición de razones trigonométricas, tenemos las siguientes identidades:

[tex]\tan \theta = \frac{y}{x} = \sqrt{2}[/tex] (1)

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (3)

Si [tex]\theta[/tex] es agudo, entonces [tex]x, y > 0[/tex].

De (1), suponemos [tex]x = 1[/tex] que [tex]y = \sqrt{2}[/tex], entonces los valores de las funciones seno y coseno:

[tex]\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }[/tex]

[tex]\sin \theta = \frac{\sqrt{10}}{5 }[/tex]

[tex]\cos \theta = \sqrt{\frac{1}{5} }[/tex]

[tex]\cos \theta = \frac{\sqrt{5}}{5}[/tex]

Por último, calculemos [tex]A[/tex]:

[tex]A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}[/tex]

[tex]A \approx 1.488[/tex]

HELP ME!
Line segment EQ consists of the points ____________. ???

Answers

you forgot to post the picture

Answer:

{F, G, H, I, J, K, L, M, N, O, P}

are the points between segment EQ :)

Please help me solve my problem!!!

Answers

Answer:

The answer is E.

Step-by-step explanation:

A quadrilateral that has only one pair of parallel sides is called a Trapezoid.

The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that the team wins 1)more than half of the number of matches played

Answers

Answer:

The probability is 32/81

Step-by-step explanation:

We know that:

The probability that the team wins is p = 2/3

Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3

The team plays 4 matches.

We want to find the probability that the team wins 1 more than half of the number of matches played.

So if there are 4 matches, the half is 2 matches

one more than half is then 3 matches.

Let's assume that the team wins the first 3 matches, and does not win the last match.

match one, the team wins with prob: P₁ = 2/3

match two, the team wins with prob: P₂ = 2/3

match three, the team wins with prob: P₃ = 2/3

match four, the team wins with prob: P₄ = 1/3

The joint probability is the product of all the individual probabilities:

P = (2/3)*(2/3)*(2/3)*(1/3)

Now we must also considerate the permutations, we have the cases:

the team does not win the fourth match

the team does not win the third match

the team does not win the second match

the team does not win the first match

So we have just four permutations, then the total probability is:

probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)

The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth. A. 465.10cm3 B. Please select the best answer from the choices provided A B C D

Answers

Answer:

489.40 cm³

Step-by-step explanation:

Since the cross section is parallel to their respective bases, hence:

Area of the cylinder cross section = area of the circular base = πr²

where r is the radius of the cylinder base.

Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm

Since both cross sections have same area, hence:

Area of cylinder cross section = Area of rectangle base

πr² = 8.1 * 3.8

r² = 9.8

r = 3.1 cm

Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³

4. If you color the perfect squares on a multiplication table, you will be coloring a_______ line.

A. Diagonal
B. Vertical
C. Horizontal
D. Zig-zag

Please helpppp

Answers

Answer:

A. Diagonal line

Answer:

i think itsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

sssssssssssssssssssssssssssssss

ssssssssssssssssssssssssss

sssssssssssssssssssssssssssssss

hmmmmmm i dont know

Step-by-step explanation:

Find the odd one out, and explain why
26..325..226..49..50
a) 325
b) 226
c) 50
d) 49

Answers

Answer:

B.226

Step-by-step explanation:

I HOPE ITS HELP PO

What is the value of x in the diagram?

Answers

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0 OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

Answer:

x = 30

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]

Since x is the measurement of a side, it can't be negative. Therefore x = 30

Which answer can be used to find the solution to the system of equations?

Answers

Answer: is b

Step-by-step explanation:

john bought a new game system for $529 how much is he in debt

Answers

Answer:

Depending on how much he had before he bought the game system.

Given that HCF (306,657) = 9, find LCM (306,657)

Answers

306 = 9 x 34
657 = 9 x 73
LCM(306,657) = 9 x 34 x 73 = 22338

In general the LCM(a, b) = ab / HCF(a, b)

Answer:

The LCM of 306 and 657 is 22338

Step-by-step explanation:

We know that

HCF (a, b) × LCM (a, b) = a × b

⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657

⇒ 9 × LCM = 306 × 657

⇒ LCM (306, 657) = 306 × 657 / 9

= 201042 / 9

∴ LCM = 22338

Thus, the LCM of 306 and 657 is 22338.

Draw a graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle formed by these lines along with the X-axis

Answers

Step-by-step explanation:

x-14y=0

x=0/14y

x=14y

14y

The first equation crosses the x axis at x - 4 x 0 + 10 = 0 => x = -10

The second equation crosses the x axis at x + 4 x 0 - 10 = 0 => x = +10

Adding the equations together gives 2x = 0 => x = 0
0 + 4y - 10 = 0 => 4y = 10 => y = 2.5

The vertices of the triangle formed by the two lines and the x axis are (-10, 0) (10, 0) and (0, 2.5)

Which is the graph of g(x) = [x+3]?

Answers

i’m pretty sure it’s the one on the bottom

PLEASE HELP Assume the line of best fit for a data set is given by y = 32x+ 25. What data
points are predicted by the line of best fit? Check all that apply.
A. (9,326)
B. (10,345)
C. (7,224)
D. (6,217)

Answers

Answer:

Step-by-step explanation:

the answer is B

If you substitute 10 in the equation

32(9)+25=345

Answer:

B and D

Step-by-step explanation:

Substitute the values in y = 32x+ 25

A. 9, 326

326=32(9)+25

326 don't equal to 315

A is not

B. 10, 345

345=32(10)+25

345=345

B is a point on the line of best fit.

C. (7,224)

244= 32(7)+ 25

244 don't equal to 249

D. (6,217)

217= 32(6)+ 25

217=217

D is a point on the line of best fit.

Brainliest please

decide which point lies on the line that is parallel to AB and passes through point P

Answers

the answer is B because PG is parallel to AB

Tính :
a) (a+b+c)^2
b) (a-b-c)^2
c) (a+b-c)^2
d) (a-b+c)^2

Answers

Answer:

a.) a² + b² + c ² + 2ab + 2ac + 2bc

b.) a² + b² + c² - 2ab - 2 ac + 2bc

c ) a² + b² + c² + 2ab - 2ac - 2bc

d.) a² + b² + c² - 2ab + 2ac - 2bc

Step-by-step explanation:

Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expression

a) ( a + b + c )²

= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc

= a² + b² + c ² + 2ab + 2ac + 2bc

b.) ( a - b - c )

= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)

= a² + b² + c² - 2ab - 2 ac + 2bc

c.) ( a + b - c )²

= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)

= a² + b² + c² + 2ab - 2ac - 2bc

d.) (a - b + c ) ²

= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)

= a² + b² + c² - 2ab + 2ac - 2bc

A grocer noticed that customers buy both pet and baby supplies with a probability of 0.12. Considered separately, the probability that

customer buys pet supplies is P(A) = 0.64, and the probability that a customer buys baby supplies is P(B) = 0.25.

Move expressions and numbers into the blanks to create an equation that represents the probability that a customer buys either pet

supplies or baby supplies.

Answers

Answer:

0.77

Step-by-step explanation:

Given that:

P(A) = 0.64

P(B) = 0.25

P(AnB) = 0.12

Probability that customer buys either pet or baby supplies ; P(AuB)

P(AuB) = P(A) + p(B) - p(Ann)

P(AuB) = 0.64 + 0.25 - 0.12

P(AuB) = 0.77

[tex] \frac{1.107}{123} \times \frac{1.998}{333} = [/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1.107}{123} \times \frac{1.998}{333} = [/tex]

[tex] = > 9 \times 6[/tex]

[tex] = 45[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1.107}{123}*\frac{1.998}{333}= 0.009 * 0.006 = 0.000054[/tex]

1107÷ 123 = 9

The dividend has 3 decimal places. So, take 3 decimal places from the right towards left in the result 0.009

1.107 ÷ 123 = 0.0009

0.009 * 0.006

First multiply 9 * 6 = 54

Now, count the number of decimal place in the multiplicands. 0.009 has 3 decimal places and 0.006 has 3 decimal places. So totally, 3+ 3 = 6 decimal places in the result

0.009 * 0.006 = 0.000054

what is the answer for x⁵÷x⁸

Answers

answer:

the answer is 40 because any expression divides itself is equals to 1

Step-by-step explanation:

Hi there!

»»————-　★　————-««

I believe your answer is:

[tex]\frac{1}{x^3}[/tex]

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

maths help pls.......

Answers

Answer: (C) 308 cm^2

Step-by-step explanation: Flat surface area is the surface area that is not curved; in this case, it would be the two circular bases. The height is arbitrary as the height is not needed to calculate the area of the bases. The formula for the area of circular bases is πr^2. Let's plug the given values into the formula. (22/7)(7)^2=(22/7)(49)=154. 154 cm^2 is the area of one base. To find the area of both bases, simply multiply the area of one base by two. 154*2 is 308, therefore the answer is (C) 308 cm^2.

If Devon took 20 min to drive 24 km, what was his R.O.C.? Answer in decimals.

Answers

Answer:

1.2 km/min

Step-by-step explanation:

ROC? rate of change? if not rate of change than my answer may not be correct

24km/20min = 1.2 km/min

24km/20min * 60min/1 hr= (24*60)/20=120 km/hr

Rami is solving the equation for x .

–6x – 1 = 5

–6x – 1 Empty square 1 = (5 Empty square 1)

–6x = 6

–6x Empty circle – 6 = 6 Empty circle –6

x = –1

Which operation symbols should Rami write in the Empty squareand the Empty circle?

Answers

Answer:

Empty square = +

Empty Circle = ÷

Step-by-step explanation:

In order to eliminate the extra numbers from the equation you have to do the opposite of the problem. So...

-6x-1=5

-6x -1+1 = 5+1 (eliminating the 1 from the -6x side and adding it to the other side)

-6x = 6

-6x ÷ -6 = 6 ÷ -6 ( eliminating the-6 so that one side just has x)

so... x= -1

Answer: Option B is your correct answer.

Convert to polar form

Answers

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

Question 5Multiple Choice Worth 1 points)
(02.03 MC)
Choose the equation that represents the graph
-answer choices
y=x-3
y=-x+3
y=-x-3
y=x+3

Answers

It would be y=x+3 because you have a slope of 1 and a y-intercept at 3

Answer:

i think it would be y=x+3

Step-by-step explanation:

Chris had 3/4 of a jug of milk left. He used 2/5 of it to bake a cake how much of the jug of milk did he use in his cake

Answers

Answer:

5 pints of milk

Step-by-step explanation:

took the test

Find the trigonometric ratio. Write your answer as a fraction in the simplest form

Answers

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

What is Trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

= 12/13

hence, sin B= 12/13

Learn more about trigonometry here:

https://brainly.com/question/14746686

#SPJ2

Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7

Answers

Answer:

x=-9/10

Step-by-step explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

−9/10

x=-9/10

Answer:

x = - 4 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )

x = - 4 ± [tex]\sqrt{7}[/tex]

Then

solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]

660 g of 3 kg
Express as percentage
please tell how the answer is 22%..
:(

Answers

Answer:

Percent * base = Amount

660 g = 660 g

3kg = 3000g

percent(3000) = 660

percent = 660/3000

percent = .22

.22 = 22%

Step-by-step explanation:

PLEASE HELP ASAP ILL MARK BRAINLIEST.!!!

i only need these 2 and I’m done with math.!!!

Answers

Answer:

663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V =

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

3 m = 300 cm

2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers

help please on all of these

Answers

the answer is on the picture

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