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Alchen [17]
3 years ago
13

Brian scored one tenth of the points for his basketball team in the state championship game. Joe scored one fourth of the points

. Together they scored 21 points. Write an equation to represent the situation. What was the total number of points the team​ scored?
Mathematics
2 answers:
Airida [17]3 years ago
8 0

x/10 + x/4 = 21  /*40

4x + 10x = 840

14x = 840

x = 60 = total number of points the team scored

Soloha48 [4]3 years ago
7 0

Answer:

Total number of points in game is 60.    

Step-by-step explanation:

Information given in the question:

Let x be the total scored in the game.

Contribution of Brian in the game = \displaystyle\frac{x}{10}

Contribution of Joe in the game = \displaystyle\frac{x}{4}

Total contribution of Brian and Joe in the game = 21

According to the question, the following equation can be used to represent the situation:

\displaystyle\frac{x}{10} + \displaystyle\frac{x}{4} = 21

\displaystyle\frac{7x}{20} = 21\\\\ 7x = 20\times 21\\x = 60

Thus, the total score of the game was 60.

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What is the solution to the compound inequality in interval notation?
ollegr [7]

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2.  That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞).  The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

4 0
1 year ago
M
Ierofanga [76]

Answer:

see below

Step-by-step explanation:

m/3 + 4 = 7

Subtract 4 from each side

m/3+4-4 = 7-4

m/3 = 3

Multiply each side by 3

m/3*3 = 3*3

m =9

4 0
2 years ago
752 second graders went to
Sophie [7]
752 second graders went to
see Hansel and Gretel on
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8 0
3 years ago
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Merlin invested $48,750 into an interest-bearing account 7 years ago, and withdrew all of the money to close it. The
dmitriy555 [2]

Interset always positive ,if a bank don't give interest even though interset remains zero doesn't become negative

Let's find interest here to proof

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Interest:-

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3 0
2 years ago
The scores on a quiz are normally distributed. The mean of the quiz is 93 and the standard deviation is 4.2. By using the Empiri
xz_007 [3.2K]

Answer:

any score that lies between 88.8 and 97.2 is within one std. dev. of the mean

Step-by-step explanation:

One std. dev. above the mean would be 93 + 4.2, or 97.2.  One std. dev. below the mean would be 93 - 4.2, or 88.8.

So:  any score that lies between 88.8 and 97.2 is within one std. dev. of the mean.

6 0
3 years ago
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