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Ilya [14]
3 years ago
9

Two pounds of cashews shown cost $19, and 8 pounds cost $76. Show that the relationship between the number of pounds of cashews

and the cost is a proportional relationship. What equation can be written to represent the relationship?
Mathematics
1 answer:
inessss [21]3 years ago
5 0
You just have to divide 76 by 8 to find the value of one pound of cashews. This can be done also by dividing 19 by 2.

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Solve the system of equations.<br> 2y+7x=−5<br> 5y−7x=12<br> ​
3241004551 [841]

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

5y-7x=12

5y-7x-12=0

5y-12=7x

Therefore, 7x=5y-12

Now replace the 7x in the first equation with 5y - 12:

2y+7x=-5 (substitute in 7x = 5y - 12)

2y+(5y-12)=-5

7y-12=-5

7y=7

y=1

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

7x=5y-12 (substitute in y = 1)

7x=5(1) -12

5x=5-12

7x=-7

x=-1

__________________________________________________________

<u>Answer:</u>

<u></u>y=1\\x=-1<u></u>

4 0
3 years ago
Exercise 1.A committee of five people is chosen randomly from four men and six women. Find the probability that:a) Exactly four
MatroZZZ [7]

Answer with explanation:

Given : Number of men = 4

Number of women = 6

Total people = 6+4=10

Total number of ways to make a committee of five people from 10 persons :-

^{10}C_{4}=\dfrac{10!}{4!(10-4)!}=210

a) Number of ways to make committee that has exactly four women :

^6C_4\times ^4C_1=\dfrac{6!}{4!(6-4)!}\times4=60

The  probability that committee has exactly four women :

\dfrac{60}{210}=\dfrac{2}{7}

b) Number of ways to make committee that has at-least four women :

^6C_4\times ^4C_1+^6C_5=\dfrac{6!}{4!(6-4)!}\times4+6=66

The probability that committee at-least four women :

\dfrac{66}{210}=\dfrac{22}{70}

c) Number of ways that committee has more than 4 women :-

^6C_5\times^4C_0=6

The probability that committee has more than 4 women :-

\dfrac{6}{210}

Now, the  probability that committee has at most four women :-

1-\dfrac{6}{210}=\dfrac{204}{210}=\dfrac{102}{105}

5 0
3 years ago
Let f(x)= x^2 -2x+6 find f(-1)
Leokris [45]

Answer:

Step-by-step explanation:

f(x) = x^2 - 2x + 6

to find f(-1), we sub in -1 for every x

f(-1) = (-1^2) - 2(-1) + 6

f(-1) = 1 + 2 + 6

f(-1) = 9 <=======

8 0
3 years ago
The recommended daily intake of vitamin C for males 18 years and older is 90 milligrams. If an 18 year-old male has already cons
Ksju [112]

Answer:

40%

Step-by-step explanation:

6 0
3 years ago
For the function f(x)=8(x−3)+13, find the value of f(5) please help
Bas_tet [7]

Answer:

29

Step-by-step explanation:

f(x)=8(x−3)+13

f(5)= 8(5-3)+13

f(5) = 8(2) +13

f(5) = 16 +13

f(5)= 29

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

4 0
3 years ago
Read 2 more answers
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