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umka2103 [35]
3 years ago
10

Last year a baseball team paid $20 per bat and $12 per glove spending a total of $1040 this year the prices went up to $25 per b

at and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year.
How many bats and gloves did the team purchase each year?
Mathematics
1 answer:
Sonja [21]3 years ago
7 0
<span>20x + 12y = 1040
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation. 20x + 12y + -12y = 1040 + -12y Combine like terms: 12y + -12y = 0 20x + 0 = 1040 + -12y 20x = 1040 + -12y Divide each side by '20'. x = 52 + -0.6y
thats the first part
then we have
</span>25x + 16y = 1350
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16y' to each side of the equation.
25x + 16y + -16y = 1350 + -16y
Combine like terms:
16y + -16y = 0 25x + 0 = 1350 + -16y
25x = 1350 + -16y
Divide each side by '25'. x = 54 + -0.64y
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Which figures below are congruent?<br> 1 and 2<br> 2 and 3<br> 1 and 3<br> 2 and 4
zvonat [6]

Answer:

1 and 3

Step-by-step explanation:

since they both are equal shape with equal sizes.

4 0
3 years ago
In a geometric sequence, A1 = 0.3 and r=3.Find A12, to the nearest integer
soldi70 [24.7K]

Step-by-step explanation:

We have,

First terms of geometric sequence, a = 0.3

Common ratio, r = 3

It is required to find the 12th term of a GP. The formula of the nth term is given by :

T_n=ar^{n-1}

Here, n =12

So,

T_{12}=0.3\times 3^{12-1}\\\\T_{12}=0.3\times 3^{11}\\\\T_{12}=53144.1

or

T_{12}=53144

So, the 12th term of the GP is 53144.

8 0
4 years ago
Find the probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events.​ Hint:
emmainna [20.7K]

Answer:

0.037

Step-by-step explanation:

If the hitter makes an out 72​% of the time, then the probabilty that he makes hit in 1 at-bat is p=0.72 and the probabilty that he doesn't make hit in 1 at-bat is q=1-p=1-0.72=0.28.

The probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events is

P=p^{10}=(0.72)^{10}\approx 0.037.

5 0
3 years ago
Please help me with this
allsm [11]

Answer:

I would say A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The slope of the line below is 1.write the point-slope equation for the line using the coordinates of the labeled point.
Oliga [24]

Answer:

y-4=(x-11) or y=(x-11)+4

Step-by-step explanation:

We know that the slope of the line is 1, so we can write it in terms of any two points belonging to the line, as per the difinition of slope:

slope=\frac{y_1-y_0}{x_1-x_0} \\1=\frac{y_1-y_0}{x_1-x_0}

We can use instead of (x_1,y_1) any general point (x,y) on the line, and for (x_0,y_0) the point we are interested in: (11,4)

That way the slope can be written as:

1=\frac{y-4}{x-11}

Next we can solve for y if this format is the one your instructor prefers:

1=\frac{y-4}{x-11}\\1(x-11)=(y-4)\\(x-11)+4 =y

5 0
3 years ago
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