In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?

5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30

Answers

Answer 1
The answer is the third one
Answer 2

Answer:

A) 5+3p ≥ 30

Step-by-step explanation:

The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)

If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)


Related Questions

The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."

Answers

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

The table shows the scores for four students on a math test. Who earned the highest grade?
Student. Score
Jim 17/20
Sarah. 84%
Ben. 0.86
Mary. 22:25

A.Jim
B. Sarah
C. Ben
D. Mary. Help please

Answers

the answer is Mary, Mary got 88% Ben got 86% and Jim got 85%

X + 7/8 = 23/8

They are fractions
Please help

Answers

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer:

x=2

subtract 7/8 from both of the sides

x= 23/8-7/8

Simplify 23/8 - 7/8 to 2

x=2

A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If he does not deposit or withdraw any money, how much will he have altogether after one year?

Answers

Answer:

$406

Step-by-step explanation:

The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.

It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.

His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=  

$406

​  

.

What is the domain of the function y=2 /X-6? EXCO o osx​

Answers

i believe the answers for this is D

Answer:

last option

[tex]6 \leqslant x < \infty [/tex]

Round each addend to the nearest whole number and estimate the sum.

19.43 + 11.5 + 3.08

35
36
33
34

Answers

Step-by-step explanation:

a fraction of it and the regular answer it is 33.

Answer:

34

Step-by-step explanation:

19.43 will round to 19

11.5 will round to 12 and

3.08 will round to 3

I hope this helps

A tablet that regularly sells for $330 was on sale for 15% off. If Jeremiah paid $302.94 total including tax, what is the sales tax

Answers

Answer:

8% sales tax

Step-by-step explanation:

$330 x .15 = $49.50

$330 - $49.50 = $280.50

$302.94 - $280.50 = $22.44

$22.44/$280.50 = .08 x 100 x 8%

Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the final cost?

Answers

Answer:

$38.66

Step-by-step explanation:

what are you finding when you are asked what is 60% of 175? the part, the whole or the precent​

Answers

Answer:

105 is the part.

Step-by-step explanation:

175 is the whole

60% is the percent

x is the part

175 * 0.60 = 105

I need help on this question

Answers

Answer: Capitalism

Step-by-step explanation:

hope it helps

simplify 4(x + 2y)-(3x-8y)​

Answers

Answer: x + 16y

Step-by-step explanation:

multiply 4 to x+ 2y

4x + 8y - 3x + 8y (open the bracket)

x + 16y

Answer:

x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)

we open the brackets and the sign of the second bracket changes

4x+8y-3x+8y

we group x's and y's

x+16y

Notes ...
The supporters at a wrestling tournament either supported the home team or the visiting
teams. 45% of the supporters cheered for the visiting tearns and 55% of the supporters
cheered for the home team. If the total number of people attending the tournament was
1200, how many people were supporters of the visiting teams at the wrestling
tournament?
X=45
55-1200
Practic...
Margaret is completing a lifeguard course and is completing the test at the end of the
course. There are 75 total questions that she needs to complete and she is 36% complete.
How many more cuestions does she need to complete
Q

Answers

Answer:

Step-by-step explanation:

For your first question,

Total percentage of people cheering for visiting team = 45%

Total percentage of people cheering for home team = 55%

Total number of people cheering = 1200

Therefore, the number of people cheering for visiting team = 45% of 1200

                                                                                                   = [tex]\frac{45}{100}[/tex] × 1200

                                                                                                   = 45 × 12

                                                                                                    = 540 people

For your second question,

Total number of questions = 75

Total percentage of the number of questions he completed = 36%

Percentage of the amount of questions left = 100 - 36 = 64%

Therefore, the number of questions left to complete = 64% of 75

                                                                                 = [tex]\frac{64}{100}[/tex] × 75

                                                                                 = [tex]\frac{64}{20}[/tex]  × 15

                                                                                 = [tex]\frac{64}{4}[/tex] × 3

                                                                                 = 16 × 3

                                                                                 = 48 questions are left

What is the value of n in this equation?
(2.4 × 10³) × (3 × 10^n) = 7.2 × 10⁹

Answers

Answer:

n = 6

Step-by-step explanation:

[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]

Determine which of the following sets of side lengths represents the side lengths of a night triangle. Select all that
apply
11, 12
2. 13. 15
1,1,2
7. 24. 25
3.4.5
2.3.3​

Answers

Answer:

7,24,25

3,4,5

Step-by-step explanation:

1. Let assume the three sides of a right triangle are A,B and C, and C is the longest side

2. For the definition of a right triangle, [tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]

3. For all the sets listed, only these two sets meet the definition.

Answer:

3.4.5, 2.3.3, and7. 24. 25

Step-by-step explanation:

a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?

Answers

Answer:

12 yards

Step-by-step explanation:

side b = √(diagonal^2 - side a^2)

H=156-8t-16t^2 in seconds

Answers

Answer:If you use quadratic formula the answer is (rounded) 2.88s

Step-by-step explanation:

Answer:

2.882491 seconds

Step-by-step explanation:

H=156-8t-16t²

-16t²-8t+156=0

16t²+8t-156=0

4t²+2t-39=0

t=2.882491 seconds ................

Had three thfk DJ back finding

Answers

The answer is d...........

Which expression is represented by the set of algebra tiles below?
O x+6
O x-6
O 6-X
O 6x- 1

Answers

Answer:

The answer is B

Step-by-step explanation:

Lol I just had this same question on edge 2021 (◕‿◕✿)

Answer:

It Is B, x-6.

Step-by-step explanation:

I Just Did The Unit Test Review (ノ◕ヮ◕)ノ*.✧

the equation d= 2/5 t describes the distance d, in yards, an object travels in t minutes. How long does it take the object to travel 1 4/5 yards?

Answers

Answer:

t = 4.5

Step-by-step explanation:

1.8 = 0.4(t) solve for t

how do find M and N​

Answers

Answer:

option D

Step-by-step explanation:

In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°

Hypotenuse = m ; Perpendicular = n ; Base = 4

Side opposite to 60° = Base

Side adjacent to 60° = Perpendicular

Side opposite to 30° = Perpendicular

Side adjacent to 30° = Base

So,

[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]

[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]

[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]

Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]

Also,

[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]

[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]

[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]

Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]

Helpppppppppppppp asappppp

Answers

Answer:

[tex]B.\ 3[/tex]

Step-by-step explanation:

Given

[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]

Required

Power of term with coefficient of 1

First, we need to identify the variable in the given polynomial

The variable is x

Each term has the following format:

[tex]mx^n[/tex]  where [tex]n \ge 0[/tex] and m is the coefficient

In this case, we are to look for n where m = 1

Looking at each term of the polynomial, we have the following match:

[tex]mx^n = x^3[/tex]

Substitute 1 for m

[tex]1 * x^n = x^3[/tex]

[tex]x^n = x^3[/tex]

By comparison:

[tex]n = 3[/tex]

Hence, the solution to this question is (B)

The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle. ​

Answers

Given :

Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 m

To find :

The Length and the Breadth

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

Length = 18 mBreadth = 12 m

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

An insurance company receives nine claims per week, on average. Use this information to answer the next two questions. What is the probability that exactly 7 claims will be received in one week

Answers

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]

[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]

[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]

[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]

P(X = 7) = 0.11712

Find the HCF and LCM of 28 and 40​

Answers

Step-by-step explanation:

The HCF of 28 and 40 is 4, and the LCM is 280.

Step-by-step explanation:

this is the answer..........

Aisha has 8 coins worth 50¢. If the coins are all dimes and nickels, how many dimes and nickels does she have?

Answers

Answer:

4 dimes

2 nickels

Step-by-step explanation:

Answer:

4 dimes 2 nickels

Step-by-step explanation:

y=-|x+3| domain and range

Answers

Answer:

the domain is that x is a set of real numbers.

the range is y ≤ -3

Step-by-step explanation:

y = -|x + 3|

y is either positive or equal to zero.

Now, x is all real numbers because any value of x used will yield a valid value of y.

Thus, we can say that the domain is that x is a set of real numbers.

Now, for the range:

The minus sign in front of the absolute value indicates that the function has a maximum value.

Thus, the range is y ≤ -3

I give brainliest
Which of the following sets of ordered pairs represent functions? Select all.

A. (0,3), (1,4), (2,5), (1,6), (0,7)


B.(-2,0), (0.1), (2.2), (4,3), (6,4)


C. (2,4), (0,2), (2,0). (0,-2), (2,-4)


D. (3,-2), (4, -3), (5,-4), (6,-5)


E. (3,-2).(-2,3), (4, -1) (-1, 4)

Answers

Functions are accurate through having one x intercepts which is how you can find which are functions or not.
Answer- B,D,E

6-√8 divide √2-1
this is rationalising surd question I did it and my answer is not right so could someone do this to me and show your working out
thanks

Answers

Answer:

4[tex]\sqrt{2}[/tex]  +2

Step-by-step explanation:

[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]

=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]

=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - 2

=4[tex]\sqrt{2}[/tex]  +2

for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,

[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]

     = ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]

     =2 ×[tex]\sqrt{2}[/tex]

The ground temperature at an airport is 11 °C. The temperature decreases by 6.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?

Answers

Answer:

-21°C

Step-by-step explanation:

Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.

(sorry if this is confusing but I hope this helped)

A certain CD has a mass of 10 grams. How many of these CDs would you need to equal a total mass of 2 kg?

write the number of CDs needed in the box.​

Answers

Answer:

200 CDs

Step-by-step explanation:

1000 g = 1 kg

2 kg = 2000 g

2000 / 10 = 200 CDs :D

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