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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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An item that was selling for $80 is reduced to $42. Find the percent decrease in
Westkost [7]

Answer:

47.5%

Step-by-step explanation:

You have to first subtract 80 and 42 to find the decrease first. This is 38. Now, you have to divide this by the original number which is 80. So 38 divided by 80 is 0.475.

Now multiply this by 100.

You can easily move the decimal point to the right.

So you would get 47.5%

Hope this helped!

3 0
4 years ago
You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How m
Wewaii [24]

Answer:

It will take 5 weeks for you and your friend to have the same balance

Step-by-step explanation:

Let

Your savings expression be

135 + 12x

Your friends savings expression

95 + 20x

Where,

x = number of weeks for you and your friend to have the same balance

Equate the two expressions

135 + 12x = 95 + 20x

Collect like terms

135 - 95 = 20x - 12x

40 = 8x

Divide both sides by 8

40/8 = x

x = 40/8

= 5

x= 5 weeks

Check

Your savings expression

135 + 12x

135 + 12(5)

=135 + 60

= $195

Your friends savings expression

95 + 20x

95 + 20(5)

= 95 + 100

= $195

Therefore, It will take 5 weeks for you and your friend to have the same balance

5 0
4 years ago
Find the products (4m+5)(3m-6)
Vesnalui [34]

Answer:

12m^2 - 9m -30

Step-by-step explanation:

So rewrite the equation to this:

4m * 3m

4m * -6

5 * 3m

5 * -6

Now solve:

4m * 3m = 12m^2

4m * -6 = -24m

5 * 3m = 15m

5 * -6 = -30

Now add them together in order:

12m^2 - 24m + 15m - 30

Simplify -24m and 15m:

12m^2 - 9m -30

Thus

12m^2 - 9m -30 is the answer

Hope this helps!

4 0
3 years ago
Read 2 more answers
a psychologist contends that the number of facts of a certain type that are remembered after t hours is given by the following f
laiz [17]

Answer:

At t=1, Rate of Change=-36.86

At t=10 hours, Rate of Change =-0.0088

Step-by-step explanation:

The function which describes the number of facts of a certain type which are remembered after t hours is given as:

f(t)=\frac{85t}{99t-85}

To determine the Rate of Change at the given time, we first look for the derivative of f(t).

Applying quotient rule:

f^{'}(t)=\frac{-7225}{{\left( 85 - 99\,t\right) }^{2}}

At t=1

f^{'}(1)=\frac{-7225}{(85-99)^{2}}

=-36.86

At t=10 hours

f^{'}(10)=\frac{-7225}{(85-99(10))^{2}}

=-0.0088

4 0
4 years ago
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept i
diamong [38]

Answer:

The answer to this problem is 6.

Step-by-step explanation:

5 0
3 years ago
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