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Sophie [7]
2 years ago
13

The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards,

gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
40
20
-20
-8
Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

<h3>B. The must gain 20 yards to keep possession</h3>

Step-by-step explanation:

Let the number of yards gained be positive

Let the number of yards lost be negative

Since the total that must be gained in the next four games is 10, hence the total is +10

If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;

-24 + 4 - 10 + x = 10

-20 - 10 + x = 10

-30 + x = -10

x = -10 + 30

x = 20

Hence they need 20 yards in the last round to keep possession

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denpristay [2]

Answer:

2.5% and 2.5 · 10^-3, 0.25, 2/5, √5

Step-by-step explanation:

0.25, 2/5, 2.5 · 10^-3, 2.5%, √5

Now let's list them all in the same form, why not decimals.

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2 years ago
Log10 (2x + 1) - logio(3x - 2) = 1​
Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

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Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0
2 years ago
Can anyone help with math models?? Please…?
Solnce55 [7]

Answer:

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2 years ago
Read 2 more answers
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