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dem82 [27]
2 years ago
11

Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He pick:

Mathematics
1 answer:
Kisachek [45]2 years ago
4 0

Answer: 2/3

Explanation: Assume that the number of smarties he picked is c.

Now, we are given that:

1- He picked 3 times as many cola bottles as smarties. This means that:

Number of cola bottles he picked = 3s

2- He picked twice as many smarties as marshmallows. This means that:

number of marshmallows he picked = 0.5s

Now to get the proportion o f cola bottles, we will divide the number of cola bottles by the total number of sweets as follows:

proportion of cola bottles =  

Hope this helps :)

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Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%
katrin2010 [14]

Answer:

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

t=1\ years\\ P=\$x\\r=0.06

substitute in the formula above

I1=x(0.06*1)

I1=0.06x

Part b) account that paid 5% simple interest per year

in this problem we have

t=1\ years\\ P=\$10,000-\$x\\r=0.05

substitute in the formula above

I2=(10,000-x)(0.05*1)

I2=500-0.05x

we know that

I1+I2=\$560

substitute and solve for x

0.06x+500-0.05x=560

0.01x=560-500

0.01x=60

x=\$6.000

therefore

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

6 0
3 years ago
Over the last three evenings, Yoko received a total of 73 phone calls at the call center. The third evening, she received 3 time
stealth61 [152]
The first evening she received x calls.
The second evening she received 7 fewer calls than the first evening, so she received x-7 calls.
The third evening she received 3 times as many calls as the first evening, so she received 3x calls.
Over the three evenings she received 73 calls altogether.

x+x-7+3x=73 \\
5x-7=73 \\
5x=73+7 \\
5x=80 \\
x=\frac{80}{5} \\
x=16 \Leftarrow \hbox{the first evening} \\ \\ \hbox{the second evening:} \\
x-7=16-7=9 \\ \\ \hbox{the third evening:} \\
3x=3 \times 16=48

The first evening she received 16 calls, the second evening she received 9 calls, the third evening she received 48 calls.
3 0
2 years ago
What is the perimeter of abc with vertices a(-2 9)?
vazorg [7]
For finding the perimeter of abc (triangle), we MUST need the two others coordinates of b and c
let b(1, 2) and c (2, -4)
we need to calculate the distances ab, ac, and bc
vector (ab)=(1-(-2), 2-9)=(3, -7), so its length is ab=sqrt(3²+ (-7)²)=7.61
realising the same method, we find bc=6.08, ac=13.60

so the perimeter of abc is P= ab+bc+ca=13.60+6.08+7.61=27.29
6 0
2 years ago
Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. Include your work in
EleoNora [17]

what are the coordinates?

can u provide a pic of a graph provided with the question?

7 0
3 years ago
What choice is a solution to the system of equations? y=2x-3 y-9=-x
Tema [17]

Answer:

(4,5)\ or\ x=4,y=5

Step-by-step explanation:

We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\

Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)

8 0
3 years ago
Read 2 more answers
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