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otez555 [7]
3 years ago
9

A small child is at a candy store, eager to spend his $1 allowance on candy. His two favorite candies are priced at $0.05 and $0

.10, respectively. If the child is intent on spending his entire allowance on candy, which of the following represents a standard form equation that describes this situation?
A. 0.05x+0.10y=1.00

B. 0.10x-0.05y=1.00

C. 5x+10y=100.00

D. x+2y=20.00
Mathematics
2 answers:
bixtya [17]3 years ago
5 0
Options A, C, and D are all correct.

0.05x + 0.10y = 1.00 ------------------------- (option A)
 
Multiply by 100 through:
5x + 10y = 100.00    ------------------------- (option C)

DIvide by 5 through:
x + 2y = 20.00         ------------------------- (option D)<span>


The question asked for the standard form, so the answer is Option D.

Answer: Option D

</span>
melisa1 [442]3 years ago
3 0
While both a and c work the most likely answer that they want would be A because it represent the cents already and it shows all possible ways that those two values can be split among 1 dollar
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A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
4 years ago
What is the area of this parallelogram? the perimeter is 19
Assoli18 [71]

Answer:

its 22 <3

Step-by-step explanation:

a=bh

(area = base x height)

base = 5.5

height = 4

5.5 x 4 = 22 :)

6 0
3 years ago
Help me plz <br><br> 3 (2x - 2) - 2 (x - 2)
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Answer:

4x - 2

Step-by-step explanation:

3(2x - 2) - 2(x - 2) [Distributive Property]

6x - 6 - 2x + 4

4x - 2

7 0
3 years ago
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timofeeve [1]

11g greater than 5

Step-by-step explanation:

7 0
3 years ago
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Find the slope of the graph of the relation y^3 − xy = −6 at the point (7, 2).
mezya [45]
Yay, implicit differnentiation

when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx

for x, the dy/dx dissapears

ok
so differnetiate and solve for dy/dx

3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)

so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5

answer is 2/5
5 0
4 years ago
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