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bearhunter [10]
3 years ago
15

How much egg she has

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

We know no eggs were left over in the groups of 7, so the total x is a multiple of 7.   We know it's an odd multiple because it's not even.  We know it ends in 1 or 6 because of the remainder of 1 with 5 but it can't end in the even 6.

So we make a list of odd multiples of 7 that end in 1.

21, 91, 161, 231, 301, ...

21 is a multiple of 3, nope

91 has a remainder of 3 when divided by 4

161 has a remainder of 2 when divided by 3

231 is a multiple of 3

301 has remainder 1 mod 2, 1 mod 3, 1 mod 4, 1 mod 5, 1 mod 6 and 0 mod 7.  It's our answer; there are bigger answers as well.

Answer: 301

Multiple simultaneous congruences may be solved by the Chinese Remainder Theorem.



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Take 9.5 gallons 6 1/3 poured out how much water is left in the tank
elena55 [62]
We can first convert 9.5 into fraction :

9.5= 9 1/2

Then we can use deduction to find out the answer:

9 1/2 - 6 1/3

=19/2 - 19/3

We change it to the same denominator:

=19×3/6 - 19×2/6

= 57/6 - 38/6

= 19/6

Therefore there are 19/6 or 3 1/6 gallons left in the tank.

Hope it helps!
4 0
3 years ago
A mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress.
skad [1K]

Answer: 278.18

sorry if it's wrong

Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181

so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18

8 0
2 years ago
Read 2 more answers
Duval County Landscaping uses two different sized trucks to deliver mulch. The first truck can transport x cubic yards of mulch,
Gre4nikov [31]
For this case, the first thing we must do is define variables.
 We have then:
 x: number of cubic yards of mulch that first truck can transport
 y: number of cubic yards of mulch that second truck can transport
 Now we write the expression.
 The first truck makes 12 trips to a job site:
 12x

 The second makes 14 trips:
 14y

 The difference between the first truck and the second truck is:
 12x - 14y
 Answer:
 
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is:
 
12x - 14y
8 0
3 years ago
Read 2 more answers
Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60
RSB [31]

Answer:

f(x)=2x^{3}+24x^{2}+82x+60

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

f(x)=a(x+6)(x+5)(x+1)

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

60=a(0+6)(0+5)(0+1)

60=a(6)(5)(1)

60=30a

a=2

so

f(x)=2(x+6)(x+5)(x+1)

Applying the distributive property

Convert to expanded form                  

f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60

3 0
3 years ago
1/4 x + 1/6 x = x-7.
weeeeeb [17]

Answer:

x=12

Step-by-step explanation:

Simplify both sides by adding like terms

5/12x=x-7

subtract x from both sides

-7/12x=-7

multiply both sides by 12/-7

x=12

5 0
3 years ago
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