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liubo4ka [24]
4 years ago
6

Timothy bought 10 cookies for $5.00. Let x represent the number of cookies purchased, and let y represent the total cost. Graph

the line that represents the proportional relationship.

Mathematics
2 answers:
user100 [1]4 years ago
7 0
Y=.5x
5$/10cookies
each cookie is .50
Diano4ka-milaya [45]4 years ago
6 0
<h2>Answer</h2>

The line that represents the proportional relationship is y=0.5x. Check the graph in the picture.

<h2>Explanation </h2>

We know that x represent the number of cookies purchased and y represent the total cost, so the unit cost of the cookies, which is the slop of the line, will be given by m=\frac{y}{x}

where

m is the slope of the line

y is the total cost

x is the number of cookies

We know that Timothy bought 10 cookies for $5.00, so x=10 and y=5. Let's replace the values to find the slope of our line:

m=\frac{y}{x}

m=\frac{5}{10}

m=0.5

Now that we have the slope of our line, we can find the equation for the total cost of x cookies:

m=\frac{y}{x}

0.5=\frac{y}{x}

0.5x=y

y=0.5x

Finally, to graph our line, we just need to plot tow points. We already know that Timothy bought 10 cookies for $5.00, so one point is (10, 5)

To find another point we can plug any number between 1 and 10 (the possible number of cookies Timothy can buy) for x in our line equation. Let's say that the other point will be the total cost of 8 cookies, so x=8

y=0.5x

y=0.5(8)

y=8

Therefore, our second point is (8, 4)

Now we can join our point with our line as shown in the picture.


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Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr
Degger [83]

Answer:

A=73.8\°

B=8.2\°

c=76.3\ units

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)

substitute the given values

c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)

c^{2}=5,823.5738

c=76.3\ units

step 2

Find the measure of angle A

Applying the law of sine

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}

sin(A)=(74)sin(98\°)/76.3

A=arcsin((74)sin(98\°)/76.3)

A=73.8\°

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

73.8\°+B+98\°=180\°

171.8\°+B=180\°

B=180\°-171.8\°=8.2\°

5 0
3 years ago
Suppose an apple picker in China earns an average wage of 45 cents per hour. An apple picker can harvest about 2.0 bushels of ap
Eduardwww [97]

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

8 0
3 years ago
The perimeter of an isosceles triangle is 110 m two of the links are 40 and 30 m what is the area of the triangle
sp2606 [1]
You have to use the formula to find the area of the triangle Remember,the area equation is b times h to the b divided by 2.Doing this will get you 600 m.
8 0
3 years ago
-7 2/3 + (-5 1/3) + 8 3/4=?<br> A: 6 7/12<br> B: -4 5/12<br> C: -21 11/12<br> D: 4 2/3
balandron [24]

Its B

Hope this helps!

May I have brainliest please? :D

4 0
3 years ago
Read 2 more answers
Using exponent laws please answer this
hram777 [196]

Answer:

  see below

Step-by-step explanation:

In addition to the exponent rule ...

  (a^b)^c = a^(bc)

it is helpful to know the first few powers of some small integers.

  5^3 = 125

  9^2 = 81

  4^3 = 64

  2^6 = 64

__

  1. 125^3 = (5^3)^3 = 5^(3·3) = 5^9
  2. 81^7 = (9^2)^7 = 9^(2·7) = 9^14
  3. (1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
  4. (1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18
7 0
3 years ago
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