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ivolga24 [154]
3 years ago
7

In their last game, the New England Patriots scored 9 points in the first half. In the second half, they scored three less than

two times the points in the first half. What is the ratio of the points scored in the second half to the total number of points scored? Give your ratio using a colon.
Mathematics
1 answer:
Elis [28]3 years ago
7 0

Answer:

In the first half, they scored 9 points.

in the second half, they scored:

-3 + 2*9 = 18 - 3 = 15 points.

The total number of points scored is 9 + 15 = 24 points.

Now we want to know:

"What is the ratio of the points scored in the second half to the total number of points scored?"

The ratio between two numbers a and b is written as:

a:b

In this case, the ratio will be:

15:24

But we should simplify this ratio, we can divide both sides by the same number and the ratio will remain unchanged.

As both numbers are multiples of 3, we can divide both sides by 3.

15/3 = 5.

24/3 = 8

Then:

15:24 = 5:8

The ratio is 5:8

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Please help right away.
Travka [436]

\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

S=\dfrac{a_1}{1-r}

We have:

a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}

substitute:

S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504

Answer: d. Converges, 504.

8 0
3 years ago
What is the missing number?
andriy [413]
As it appears to be the same thing on both sides so far wouldn't you think that it's 8?
6 0
3 years ago
In a pile of coins there are 7 more quarters than nickels. If there is a total of$2.65 in coins, how many quarters are there?
Alinara [238K]
<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
                 (x)(0.05) + (x + 7)(0.25) = 2.65
 Simplifying,
             0.05x + 0.25x + 1.75 = 2.65
 Simplifying further,
                0.3x = 0.9
 The value of x from the equation is 3. Hence, there are 10 quarters.</span>
6 0
3 years ago
Read 2 more answers
Look at the figure, FHJM. find the length of HJ​
Nat2105 [25]

Answer:

HJ=42\ m

Step-by-step explanation:

we know that

In a parallelogram opposite sides are equal and parallel

The figure FHJM is a parallelogram

so

FH=JM=36\ m

HJ=FM=42\ m

therefore

HJ=42\ m

6 0
3 years ago
Area of the polygon below
Dimas [21]
24×(23-7)+7×10=454u²
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3 years ago
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