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tangare [24]
2 years ago
7

What are the answers to these problems? This is due tomorrow.

Mathematics
1 answer:
beks73 [17]2 years ago
4 0
Darren's model is wrong because he multiplied the fractions when he should have subtracted.
4/5 • 1/2 = 4/10

4/5 - 1/2
8/10 - 5/10 = 3/10

The correct model would be 3/10.
You might be interested in
How much 75 octane gas and 90 octane gas should be blended to make 15 gallons of 88 octane gas
Lisa [10]
75x + 90(15-x)=88(15)

75x+1350-90x = 1320

-15x + 1350 = 1320

-15x= -30

x=2

the amount of 75 octane is 2 gallons
the amount of 90 octane is 13 gallons

Hope this helps.
3 0
3 years ago
1. A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2+ 450.
bezimeni [28]
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t           
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s

2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one. 
C(101) = 101² - 10,000
C(101) = 201

C(100) = 100² - 10,000
C(100= 0

C(101) - C(100) = 201 
Average rate of change in cost is 201 dollars/ unit between the two points. 
7 0
3 years ago
Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each. Devin has a coupon that gives a 5% disc
Svetach [21]

Given :

Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each.

Devin has a coupon that gives a 5% discount off of the regular price of the tickets. He will then pay a 10% purchasing fee on the discounted price of the tickets.

To Find :

Devin's total cost of the two tickets after the discount and the fee.

Solution :

Discount on price, D = 40×0.05 = $2 .

Price of product after discount, P = $( 40 - 2 ) = $38 .

Now, total price after adding purchasing fee is :

T = P + (P×0.10)

T = 38 + (38×0.10)

T = 38 + 3.8

T = $41.8

Therefore, Devin's total cost of the two tickets after the discount and the fee is $41.8 .

Hence, this is the required solution.

5 0
3 years ago
The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers
Pavel [41]

The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

two consecutive even integers: n, n+2

next two consecutive even integers n+4, n+6

n+(n+2) >= 7+1/2(n+4 +n+6)

combine like terms

2n+2 >= 7 +1/2(2n+10)

distribute 1/2

2n+2 >= 7+n+5

2n+2>= n+12

subtract n from each side

n+2>= 12

subtract 2 from each side

n>10

4 integers : 10, 12 ,14, 16

7 0
3 years ago
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes
dybincka [34]

Answer:The axis of symmetry is x=-4

The domain is all real numbers

The function is negative over (-6,-2)

Step-by-step explanation:

Its right

8 0
2 years ago
Read 2 more answers
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