A roadside vegetable stand sells pumpkins for$5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins an their sales totaled $98 .write and solve a system if equations to find how many pumpkins and squash hey sold?

Answers

Answer 1

Answer: Let's take those 6 squashes. You get 98-6*3=80. Now you have an identical number of pumpkins and squashes. A pumpkin and a squash are sold, in total, for $8, so to get $80 you need 10 of each. You have 10 pumpkins and 10+6=16 squashes.

Answer 2

Answer:

Answer:

=16 squashes.

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Barney and Betty break into a parking meter with $5.05 in dimes and quarters in it, and agree that Barney get all the dimes, and Betty will get all the quarters. Barney ends up with five more coins than Betty. How much money did each get?

Answers

so remember that a quarter=25 cents and a dime=10 cents so
represent q=# of quarters
d=# of dimes

so barney gets dimes so replace barney with d and betty with q
barney get 5 more coins than betty
d=5+q
total=5.05=0.25q+0.10d since each is worth 0.25 and 0.10 so we have
d=5+q and 5.05=0.25q+0.10d
subsitue (5+q) for d
5.05=0.25q+0.10(5+q)
distribute
5.05=0.25q+0.50+0.10q
add like terms
5.05=0.35q+0.50
subtract 0.50 from both sides
4.55=0.35q
divide both sides by 0.35
13=q
subsitute
d=5+q
d=5+13
d=18

barney got 18 coins and betty got 13 coins

Use substitution to determine whether 2 is a zero of the function. f(x)=x^(4)-4x^(3)+2x^(2)-3x+14

Answers

Answer:

x = 2 is a zero of f(x)

Step-by-step explanation:

if x = 2 is a zero of f(x) , then f(2) = 0

given

f(x) = $x^(4)$ - 4x³ + 2x² - 3x + 14 , then

f(2) = $2^(4)$ - 4(2)³ + 2(2)² - 3(2) + 14

= 16 - 4(8) + 2(4) - 6 + 14

= 16 - 32 + 8 - 6 + 14

= 0

since f(2) = 0 then x = 2 is a zero of f(x)

Final answer:

Using substitution, we can determine whether 2 is a zero of the given function.

Explanation:

To determine whether 2 is a zero of the function f(x)=x^(4)-4x^(3)+2x^(2)-3x+14, we can use substitution. We substitute x = 2 into the function and check if the resulting expression equals zero.

f(2) = (2)^(4)-4(2)^(3)+2(2)^(2)-3(2)+14 = 16-32+8-6+14 = 0

Since the result is zero, we can conclude that 2 is indeed a zero (root) of the function.

Learn more about Using Substitution here:

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6Which line has the steeper slope?
Line
4
has a steeper slope.
Line A
N
Line B
X
-6
4
-2.
2
4
6
-2
4
-6

Answers

Line A has a slope of 4/3
Line B has a slope of 4/2
The answer is Line B

Final answer:

The steeper line is determined by comparing the slopes of the two lines. The line with the larger slope value is the steeper line. However, the actual slopes of Line A and Line B in the question are not provided.

Explanation:

From the question, it seems like there are two given lines - Line A and Line B but no specific data is provided about their slopes. Therefore, with the information given, we can't determine which line has the steeper slope. Essentially, the steeper line would be the one with the higher slope value when represented in the form: y = mx + c, where 'm' is the slope. For instance, if Line A had an equation of y = 2x +1 and Line B an equation of y = 4x + 1, Line B's slope is steeper because it has a larger 'm' value compared to Line A.